Why does Macbeth compare himself to a fool (act 5, scene 8)?

By Act 5, Scene 8, everything is unraveling quickly for Macbeth.  Many of the witch predictions have come true, so Macbeth is likely starting to get worried about the prediction to be wary of Macduff.  Of course, Macbeth also is still supremely confident that Macduff can do him no real damage.  Macbeth thinks that he cannot be hurt or killed by anybody born of a woman.  So despite being wary, Macbeth doesn't see any point in killing himself.  

Why should I play the Roman fool and die

On mine own sword?

The quote shows that Macbeth thought the Roman rulers that killed themselves instead of going down fighting were fools.  Macbeth doesn't compare himself to a fool.  He makes a distinction.  He says that he will not be like those rulers that he considered foolish.  To Macbeth's credit, he goes out fighting to his very last breath.  

What quote is significant in the book, "Of Mice and Men?"

The most important quote in my opinion is when George and Lennie speak of their friendship.  In the world of migrant workers, there are no friendship and no true community.  George makes this comment clearly, and more importantly he says that he and Lennie are different.  They are different, because they have each other.  Here is the quote:

Guys like us, that work on ranches, are the loneliest guys in the world. They got no family. They don’t belong no place. . . . With us it ain’t like that. We got a future. We got somebody to talk to that gives a damn about us.

Slim, one the most observant people in the book, sees this aspect about George and Lennie.  He says:

“Ain’t many guys travel around together,” he mused. “I don’t know why. Maybe ever’body in the whole damn world is scared of each other.”

Other characters also see this point about George and Lennie, and they appreciate it.  Also George and Lennie, on account of their friendship, have a dream to own land.  I don't think they would be able to dream like this, unless they had each other. 

Finally, at the end of the story, when George takes Lennie's life, he acts as a friend.  George gave his best friend a "good death," in view of what would happen to him if the men found him first. 

What are three good topics to research about Sister of My Heart?

I am a little unclear as to exactly what you might mean by "topics to research."  If you mean themes from the story, I can help with that.  It is possible that you mean research topics in the real world that the book topically brings up.  I will offer a suggestion in that area too.  

For the real world research topic, I recommend researching Calcutta life itself.  The story is about two girls growing up in Calcutta.  There is plenty that you could research regarding the history and cultural changes that have affected that area over the years.  You would want to focus specifically on matching up the time period with the setting of the book.  

Regarding themes of the book, you could analyze the story as the coming of age story of two young girls.  Another theme would be the social caste system that is presented within the book.  That would tie in with your cultural research of Calcutta itself.  A final, third theme that I recommend is to focus on the power of family as presented in the book.  

Why has Okonkwo been banished for seven years when he inadvertently killed Ezeudu's 16-year-old son, but not for deliberately participating and...

In Chinua Achebe's Things Fall Apart, Okonkwo is in fact banished from his community in Umuofia and forced to move his family to his mother's homeland of Mbanta after inadvertently killing a 16 year old boy. Perhaps the top reason he is banished for this act rather than deliberately slaying his adoptive son Ikemefuna is because Ikemefuna was scheduled to be killed. The village had decided that Ikemefuna must be killed as retribution. While Okonkwo is advised against participating in the boy's death and he is warned that the gods will not be pleased with Okonkwo's display of manliness, he does not actually violate any of the village's rules. Additionally, the young boy Okonkwo killed by mistake was a member of the community, whereas Ikemefuna was captured from another tribe. Therefore, Okonkwo is exiled according to Igbo tradition because he killed a member of the community and must be exiled for seven years.

Why does Jess keep drawing supplies hidden under his mattress? And why does he not want or dare to show his father his drawing supplies?

Jess keeps his drawing supplies under his mattress because he knows that his father doesn't approve of his hobby. He also doesn't dare show his father his drawing supplies because he does not want his father to be angry with him.

When he was in the first grade, he remembers telling his father that he wanted to be an artist when he grew up. His father had gotten very angry upon hearing his son's words. Jess remembers how painful the exchange had been; his father had basically implied that the teachers at school were turning him into a wimp.

The irony of it is that none of Jess' regular teachers actually support his artistic endeavors. In fact, they 'would screech about wasted time, wasted paper, wasted ability' when they caught him drawing. The only one who supports him is his music teacher, Miss Edmunds.

Why is Bud an orphan?

Bud is an orphan because his biological father left his family before Bud was born, and his mother died when he was six years old. Bud's mother, Angela Janet Caldwell, is the daughter of a famous musician named Herman E. Calloway. Herman was very hard on his daughter and pushed her to graduate college when she didn't want to. She finally ran away from home to Flint, Michigan with a drummer from Herman's band. Curtis does not mention anything about Bud's biological father throughout the novel, but he more than likely left Angela while she was pregnant with Bud. Bud mentions that his mother was sick for six days in a row before she passed away. Bud tells Miss Thomas that he found his mother dead in her room and that she did not suffer at all. Throughout the novel, Bud thinks that Herman E. Calloway is his biological father, but it turns out that Herman is actually his grandfather.

How do plants encourage animals to seek or avoid them, such as bitter-tasting compounds, or an abundance of sugar?

In this book, Pollan explores the ways that plants develop certain characteristics to help prolong their lives or protect them from predators. In the case of the apple, the normally-bitter fruit was widely used to make cider after trees were brought to the New World from England. When drinking alcoholic beverages became forbidden, the apple underwent a sort of "image overhaul" and was promoted as a healthy fruit; there was also effort made by growers to graft sweeter apples (which would occasionally appear spontaneously in the wild) and produce apples better suited to eating. 

Plants producing sweeter fruit can attract more animal attention, and the animals' droppings can help spread the seeds further, thus allowing the trees to propagate and increase their diversity. Likewise, a plant that produces bitter tastes or poisons will be left alone by animals, and thereby protect itself from being eaten or eliminated (such as mushrooms or some berries like sumac). Some fruits are bitter until they are ripe, thereby protecting the trees during the more vulnerable part of their growing cycle (in spring, for examples). Examples here would include persimmons (these are very sour and inedible until they ripen) or peaches (which are hard and tasteless until they are ripe).

What is the impact of the journey explored in The Kite Runner?

In The Kite Runner, the impact of the journey can be measured in the emotional change that characters experience.

Hosseini's work shows how people change as a result of the journey they undertake. Baba changes when he and Amir move to America. He becomes more understanding towards his son and demonstrates greater compassion in his relationship with Amir.  While these emotions were always there, they become more demonstrative as a result of the journey to America.  

For his part, Amir changes when he undertakes the journey back to Afghanistan. Prior to his return to Afghanistan, Amir had to live with how he witnessed Hassan being abused.  He was unable to acknowledge the depth of his relationship with Hassan. However, as a result of his journey, Amir changes. He is forced to confront Assef and take action in the name of his friend.  When he was younger, these were situations where his weakness was exposed.  His journey back to Afghanistan represents a “way to be good again.”   Finally, the journey changes Sohrab.  His life experiences massive change upon leaving to America.  As a result of his journey, Sohrab learns to trust and be more open with people, in particular, Amir and Soraya.  

In each of these situations, the impact of the journey is to initiate change within characters.  

On what page in To Kill a Mockingbird does Judge Taylor ask Atticus to take the Tom Robinson case?

This question can be deceiving because there is a specific scene in the movie that shows Judge Taylor talking to Atticus on his front porch about taking the Tom Robinson case, but this does not explicitly happen in the book. The first time the reader knows anything about the case is in chapter nine when Scout tells Cecil Jacobs to take back his comment about Atticus defending "n*****s". Scout goes home and asks Atticus if it is true and he tells her about Tom Robinson and the case that will take place the following summer. 

The only other reference in the book about Judge Taylor asking Atticus to be Tom Robinson's attorney is during Christmas time. Scout overhears her father talking to Uncle Jack about it, as follows:

"You know, I'd hope to get through life without a case of this kind, but John Taylor pointed at me and said, 'You're It'" (88).

Identify the roots of the equation. State the multiplicity of each root. 2x3 + 14x2 − 98x − 686

Find the roots of the expression :

We try factoring by grouping; factor out the greatest common factor of the first two terms and the last two terms:

Now use the distributive property to rewrite as:

Factor the common monomial (2) from the binomial, and recognize it as the difference of two squares to get:

2(x+7)(x+7)(x-7)

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The roots are 7 and -7; -7 has multiplicity 2 and 7 has multiplicity 1

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From the graph we can see that -7 has even multiplicity as the graph touches the x-axis but does not go through:

If factoring by grouping had not worked, we would try the rational root theorem to determine if there were any rational roots.

From A Separate Peace by John Knowles, please describe the relationship between Phineas and Gene.

Phineas and Gene are roommates and friends at a preparatory school called Devon School in 1942--nothing more, nothing less. The book starts with Gene visiting the school 15 years after graduation during the summer semester before their senior year and he is reflecting on their friendship and life at school while World War II raged on around the world. During high school, Gene admired Finny's athleticism, charisma, and ability to get everyone involved in his games or ideas--but he also felt resentment and jealousy at times. Finny, on the other hand, seems to be a great friend who does not share any of Gene's feelings of competition or resentment. In fact, Finny is open with his feelings about his friendship with Gene on the beach one summer day as shown in the following passage:

"I hope you're having a pretty good time here. I know I kind of dragged you away at the point of a gun, but after all you can't come to the shore with just anybody and you can't come by yourself, and at this teen-age period in life, the proper person is your best pal. . . which is what you are" (48).

Gene is weirded out at the time, but he also feels guilty that he didn't tell Phineas that he considered him his best friend as well. 

Later on, all of the talents and wonderful qualities Phineas has take their toll on Gene and his insecurities get the better of him. Phineas and Gene have an argument where they discuss each other's talents and successes. During the argument, they decide to go to the tree to jump into the river, but because Gene is riled up, he jounces the tree limb that they are on and Phineas falls, breaking his leg.

Gene lives with the guilt for his lapse in self-control for most of their senior year. He went to Finny's home in the fall and confessed his role in the tree that day, but Phineas didn't believe him. Phineas forgives him and shows what a true friend would do. By the end of the year, a bunch of boys hold a mock trial to convict Gene of hurting Phineas, but Finny doesn't want to hear it. When Gene apologizes for breaking his leg again, he says the following:

"I don't know how to show you, how can I show you, Finny? Tell me how to show you. It was just some ignorance inside me, some crazy thing inside me, something blind, that's all it was" (191).

Phineas is now in a position to acknowledge that his best friend actually did hurt him on purpose, but again, he forgives him. Phineas is an example of a true friend and Gene has the privilege to learn such a great lesson at such a young age.

What are some examples of blood imagery in Shakespeare's play Macbeth?

Blood is an important image in Macbeth. It appears throughout the play. A few examples follow. First, when Lady Macbeth wants to steel herself to the murder of Duncan, she asks the spirit world to "make thick my blood," equating "blood" with courage. Second, after Macbeth murders Duncan, his king, blood becomes the symbol in his mind of his great guilt. He asks whether all "Neptune's ocean" can wash the blood (guilt) from his hands and decides that no, instead, the blood on his hands would turn the green oceans red. Lady Macbeth accuses him of cowardice for such words as she dips her hands in Duncan's blood and says "My hands are of your color [ie red with blood], but I shame/to wear a heart so white [cowardly]." Again, she equates blood with courage.

For Lady Macbeth, however, blood changes over the course of the play from a symbol of courage to a symbol of guilt. The blood she so proudly wore now haunts her. She begins to sleepwalk--as Macbeth said earlier, Duncan's murder had "killed" sleep--and as she sleepwalks, she tries to wash the blood from her hands: 

Out damned spot! ...who would have thought the old man [Duncan] to have had so much blood in him ...

As she continues to sleepwalk, she also begins to smell the blood that haunts her, saying that all "the perfumes of Arabia" would not remove the scent. 

These few examples begin to show how powerfully blood represents the murder of the innocent in this play and to reveal the guilt that accompanies murder. 

In To Kill a Mockingbird, how does the Boo Radley game change and what does Scout hear when she rolls into the Radley yard?

In Chapter 4, Scout describes their "melancholy drama" which is titled Chapter XXV, Book II of One Man's Family. She says that Jem played the main role of Boo Radley, and they constantly polished and added dialogue throughout the plot each day. Scout describes "Boo's big scene" where Jem would fake stabbing Dill with scissors to imitate the rumor that Boo stabbed his father. The children attempt to keep their game a secret and pause anytime a neighbor passes or looks at them. One day, Atticus sees the children playing the game and asks if it has anything to do with the Radleys. Jem denies any association and Scout mentions that she wants to the quit the game. The children continue to play the game because Atticus never technically said they couldn't, but decide to change the names of the characters to avoid accusation. The second reason Scout mentions that she wants to quit the game is because she heard someone laughing inside the house when she crashed into it.

Which qualities do George and Lennie bring out in each other and how do they do this in the novella Of Mice and Men?

George and Lennie have an almost older/younger brotherly relationship, and there is a psychological dependency on both their parts.

In the opening scene of Steinbeck's novella, George and Lennie enter the clearing where they will camp for the night before going to work at the ranch the next day. While they are there, George has to scold Lennie to not drink too much water when they find the pond; then, he cautions him again to avoid water if it is not running. Later, in a childish fashion Lennie complains that he wants ketchup on his beans despite George's insisting that he has none. George must scold Lennie for playing with a mouse; in disgust, he tells Lennie that he could get along well without Lennie, and he could even have a girlfriend. But, when Lennie threatens to run off, in brotherly fashion, George confesses, 

"I want you to stay with me, Lennie....somebody'd shoot you for a coyote if you was by yourself."

While it is merely a pipe dream, there is much truth in George and Lennie's recitation of their hopes of owning a farm. When George recites how men like them have "nothing to look ahead to," Lennie becomes delighted, asking George to continue.

"With us it ain't like that. We got a future. We got somebody to talk to that gives a damn about us...."

Lennie breaks in, "But not us! An' why? Because...because I got you to look after me, and you got me to look after you, and that's why."

After a while, George confesses that with Lennie he has begun to believe in the dream. Just as Crooks speaks of the need of a man to have someone else by whom "to measure" himself, George and Lennie have each other, a fraternity, that gives their lives some meaning. While George tries to protect the child-like Lennie and offers him friendship. Lennie provides George companionship, meaning in life, and affection. All this is expressed in their recitation of their dream.

Robert Browning once wrote,

Ah, but a man's reach should exceed his grasp,
Or what's a heaven for?

George and Lennie give each other a grasp of something beyond the next ranch, the next job, the next meal. They give each other some hope during a time of great despair in America; they provide each other comfort in a comfortless world.

In Zindel's The Pigman, how would you end chapter 2 if you could?

Chapter 2 in Zindel's The Pigman ends with John and Lorraine sitting on the bus laughing for no apparent reason. This is how they first bond and become friends, but there are some questions that are left unanswered at the end of the chapter as well. For example, it would be nice to know what happens after John and Lorraine finish their laughing fit together. Maybe the chapter could have ended with John introducing Lorraine to Norton and Dennis once they get to school. Then, since Lorraine is superstitious and believes in omens, she could notice some type of dark omen concerning Norton, which would also be a good foreshadowing to his future criminal activities. She could tell John to watch out for Norton because she had a creepy feeling about him; and in response, John would tell her not to be so paranoid. This ending to chapter 2 would establish Lorraine's feelings of paranoia as well as her superstitious beliefs. It would also show how John's character is not superstitious because he wouldn't believe her. Finally, Lorraine's creepy feeling about Norton would create a foreshadowing into his future criminal behavior against his friends and Mr. Pignati.

Would Laurie's mother punish him? Why or why not?

From your question and the reference to Laurie as "him", I assume you are asking this with regard to the story "Charles" by Shirley Jackson. In this story, Laurie is a precocious kindergarten student with a classmate named Charles. As it turns out at the end of the story, the author leaves the reader to assume that  Charles is a character Laurie made up to take the blame for his misbehavior at school.

One would assume then that Laurie's mother would punish him for the acts Charles supposedly committed, and which Laurie told his parents about, once she realizes that it was Laurie and not Charles that committed them. However, throughout the story the author paints Laurie's father and mother as weak characters who do not pay much attention to their son's behaviors. Though she states he is rude and admits he misbehaves, she takes no action to help him correct these behaviors. Therefore, either for these minor day to day infractions or for the more serious ones that Laurie accused Charles of committing at school, it does not seem likely that Laurie's mother would punish him.

How to drain the different sinus systems?

The sinuses are made of the frontal sinus, sphenoid sinus, ethmoid sinus, and maxillary sinus. The following are remedies for sinus infections.

- Decongestants are medications that shrink inflamed blood vessels of the inner nasal tissue. Less mucus develops so there is less sinus congestion and postnasal drip. Thus, breathing becomes easier.  Decongestants are used for acute frontal sinusitis.

- Nasal steroid sprays reduce tissue swelling caused by allergic rhinitis. Such sprays may be useful for isolated sphenoid sinusitis. 

- The ethmoid sinuses are located in between the eyes and above the nose. Removing eyewear may help in relieving ethmoid sinus pain, irritation, or fatigue.

-  Different massage techniques can be used to drain each of the different sinuses. 

-  Nasal saline spray keeps the nose moist. Moisture in the nose is needed in order to break up dried mucus. Such sprays are helpful in draining the ethmoid and maxillary sinuses.

-  Antihistamine blockers reduce allergic reactions that affect sinuses.

- Antibiotics may be required to treat bacterial sinusitis.

-  Surgery on the sinuses may be needed in order to open an obstruction or remove a growth. An example of such a procedure is maxillary antrostomy used to clear the maxillary sinuses.

First make a substitution and then use integration by parts to evaluate the integral

Let 

Now apply integration by parts,

If f(x) and g(x) are differentiable functions then,

If we write f(x)=u and g'(x)=v, then

So, let's take u=x , then u'=1

and v=

then v'=

substitute back and add a constant to the solution,

What does Aunt Alexandra say to Atticus that shows empathy?

Throughout the novel, Aunt Alexandra disagrees with her brother, Atticus, on a variety of issues. She does not support the way he chooses to let Scout act like a "tomboy" and encourages him to teach Jem and Scout about their family background. She argues with him over Calpurnia and also opposes his decision to defend Tom Robinson. She is rather abrasive, callous, and opinionated throughout the majority of the novel. After the verdict is read and Tom Robinson is found guilty of assaulting and raping Mayella Ewell, Aunt Alexandra shows empathy to Atticus by saying, "I'm sorry, brother" when he walks into the house (Lee 131). Scout is shocked because she has never heard Alexandra call Atticus "brother" before. Alexandra's comment portrays the sympathy she has for her brother who has just suffered a disappointing loss. Even though she disagrees with Atticus' choice to defend a black man, she still feels sorry for seeing Atticus struggle.

What are the different ways that a writer can end a story?

There are many common ways that an author can end a story. If you consider a traditional plot diagram (also known as the plot pyramid or Freytag's pyramid) which consists of the five main parts including Exposition (or background), Rising Action, Climax, Denouement (or falling action), and Resolution, a book or story which follows this traditional pattern might end with a resolution. In that case, the main climax, situation, problem, or plot line ends firmly and can go no further. A resolution like this could be in the form of a happy ending or a sad ending for the main characters.

Take for instance the novel To Kill a Mockingbird, which has several subplots. Tom Robinson's subplot ends when he is shot and killed while trying to escape from prison. Tom cannot appeal his guilty verdict, and his trial will not go on since he has died. His plot line has ended (though not in a happy way). Contrast that ending with the ultimate ending of the book when Scout and Jem are rescued by Boo Radley. They get to meet Boo, who they've been fascinated with for a long time, their enemy (Bob Ewell) is killed and can no longer cause them harm, and the book ends with all the characters safe and at home where no more harm can come to them. In this case, all conflicts have resolved in the form of a happy ending.

Sometimes, though, authors deliberately don't give their readers a resolution. When a story ends without resolving some of its main conflicts and questions (thus leaving the reader "hanging"), it's called a cliffhanger. Have you ever had an episode of your favorite TV show leave you wondering what will happen next or a movie end with a big question that will likely be answered in the sequel? These are examples of cliffhangers, which also occur in novels.

Usually when an author ends with a cliffhanger, they are setting the reader up for the sequel (as in the case of Catching Fire in the Hunger Games trilogy), but sometimes authors leave the ending open-ended so that readers can decide, debate, and speculate on what might have happened after the last page.

To recap, two techniques authors can use to end their stories are resolutions (which can be either happy or sad) or cliffhangers.

What details do you notice that show that this story is not taking place in the United States?

The first paragraph clues the reader in to the fact that the story is not happening in the United States.  The main hint in that paragraph for me is the fact that the children had "tea."  Tea is not an American thing to have.  Sure, my grandma likes tea, but sitting down for afternoon tea is not a typical American thing.  

The next clue for me is the first line of dialogue.  

"Please, ma, please,'' they begged. "We’ll play in the veranda and porch—we won’t go a step out of the porch.''

"Veranda" and "porch" are not typical American words either.  Kids might play on the patio or the deck, but not the veranda/porch.  

The final big clues to the reader are the names of the kids.  Raghu, Manu, and Ravi are not typical American names.  Those names suggest southeast Asia.  The narrative being in English and characters having tea then suggests an English speaking Asian country.  My best guess is India, since at one point it was part of the British empire.  

What is The Help by Kathryn Stockett about?

The Help is a work of historical fiction set in Jackson, Mississippi, during the years 1962-1964. The time and place are marked by the strong racial divide between white and black people. The Jim Crow laws are still in effect. The American civil rights movement is just beginning. A key juxtaposition lies in the fact that most white households here employ black maids. At its core, this book offers insights in how women from the two races live and work under such circumstances: together yet separately, and certainly not equally.

The storyline unfolds in chapters told by three characters: Aibileen Clark, Minny Jackson, and Eugenia “Skeeter” Phelan. Aibileen and Minny are maids. Skeeter is a young white woman who just graduated from Ole Miss. She grew up in Jackson, but after college sees her hometown with fresh eyes. She’s disturbed by the way her friends treat “the help.” Eventually, she interviews a number of the maids, including Aibileen and Minny, in order to publish a book about the relationships between maids and their employers in an unnamed city in the Deep South. The time is right for people to start talking about such things. By the end of the story, all three main characters have undergone changes in their lives. Aibileen—whose chapters both begin and end this book—may be considered the touchstone character and the one who is the most changed, both emotionally and intellectually. She has a wide-open future ahead of her.

You can also catch glimpses of the women’s rights movement here. Skeeter longs to land a job as a journalist, while all the other women in the Jackson Junior League focus on landing husbands, having children, and managing their households, including the staff. By the end of the 1960s, the ratio of working to stay-at-home women will have begun to change.

Describe Thoreau’s notion of “poverty.” Is it the same as or different from the notion of poverty we have when, for instance, we speak of...

When Thoreau speaks of poverty, he means what we would call simplicity or simple living. It is not at all the same as Third World poverty, in which people suffer because they can't afford the basic necessities of life, such as food or shelter.

For example, Thoreau writes the following in Walden:

Cultivate poverty like a garden herb, like sage. Do not trouble yourself too much to get new things, whether clothes or friends.

Here, as in most of his writing, Thoreau addresses a comfortable, middle-class audience. He assumes that his readers have more than enough material possessions, such as clothing. In a similar way, calling poverty a "garden herb" like sage, that needs to be cultivated, means he understands poverty as a beautiful simplicity. He would never want to "cultivate" or grow the kind of poverty we associate with misery and stunted lives in the Third World.

In Walden, Thoreau promotes "poverty" (simple living) as a solution to the problem of excessive luxury. He urges people who are choked and drowning on material possessions to downsize and get rid of the clutter so that they can pay more attention to their neglected souls and spirits, and thus lead spiritually richer, more balanced lives. He addresses what we today would call the First World about "First World problems." He is not speaking to the genuinely impoverished. 

What happened when the cat started avoiding the narrator?

When Pluto started to avoid the narrator in "The Black Cat," the narrator became angry. When the narrator first started taking his drunken anger out on his wife and pets, Pluto managed to avoid it, but when the narrator thought Pluto had suddenly started to avoid him one night, everything changed. He grabbed the cat, and after the cat scratched him in response, he grew enraged and grabbed his knife from his waistcoat pocket, which he then used to cut out one of the cat's eyes. This made the cat fear him even more, which at first made the narrator feel a bit remorseful, but as he sank deeper into his alcoholism, he started to resent the creature, which is what led to him hanging it from the tree.

In Romeo and Juliet, what does this mean: "For beauty starved with her severity / Cuts beauty off from all posterity"?

To understand literature, it is necessary to always put lines in context. 

This line occurs in the end of Act 1 Scene 1, when Benvolio is trying to cheer Romeo up. Romeo is pining over Rosaline, a "fair" maid who won't give him the time of day. Romeo spends much time essentially moaning that love is hate, right is left, and up is down, as he is so topsy-turvy in love (and not loved back) that he doesn't know what to think or do. Eventually, Benvolio gets him to explain what the problem is.

Romeo admits that he's sad about a woman, to which Benvolio responds that he kinda figured that ("I aim'd so near, when I supposed you loved"). Romeo then admits that:

...she'll not be hit
With Cupid's arrow; she hath Dian's wit;
And, in strong proof of chastity well arm'd,
From love's weak childish bow she lives unharm'd.
She will not stay the siege of loving terms,
Nor bide the encounter of assailing eyes,
Nor ope her lap to saint-seducing gold:
O, she is rich in beauty, only poor,
That when she dies with beauty dies her store.

That is, "She is impervious to anything I do to make her love me. She is determined to remain chaste. No matter how much I tell her I love her (or flatter her), or look at her with puppy dog eyes, she is unmoved. She is incredibly beautiful, but it doesn't matter, because she's determined to die a virgin." 

Benvolio breaks it down, too: "Then she hath sworn that she will still live chaste?"

This is where your line comes in. Romeo replies:

She hath, and in that sparing makes huge waste,
For beauty starved with her severity
Cuts beauty off from all posterity.
She is too fair, too wise, wisely too fair,
To merit bliss by making me despair:
She hath forsworn to love, and in that vow
Do I live dead that live to tell it now.

Translation: She has sworn to "live chaste"--to not be romanced or even kissed. She has sworn to be spare--to not be with a man--and that is such a waste. Because beauty which is so severe as to starve itself of such (ahem) affection cuts the family line (she won't have any children, which is also a shame, because they would be beautiful, as well). Rosaline has chosen to "merit bliss by making [Romeo] despair." I assume she has chosen to become a nun. 

In Hoot, why did Roy exaggerate his homework responsibilities?

Although Roy and Beatrice make up a story about doing a science experiment, and that could be considered "exaggerating" his homework responsibilities, I think this question refers to what happens in chapter 14 when Roy exaggerates his homework responsibilities to Mullet Fingers. In this chapter, Roy visits Mullet Fingers in the Jo-Jo's ice cream truck the day after the emergency room incident. They discuss why Mullet Fingers is so passionate about saving the owls on the Mother Paula's property. Mullet Fingers shows Roy the form letter he received from Chuck Muckle—a letter that proves Mullet Fingers tried to deal with the company politely before resorting to pranks and vandalism.

Mullet Fingers then invites Roy to go to the Mother Paula's property with him that night. Roy "only had one short chapter to read for Mr. Ryan's history class," but he tells Mullet Fingers that he can't join him because he'll be doing homework. Roy believes what Mullet Fingers is doing is illegal, and he doesn't want to be part of anything that will get him in trouble with the law. Since Roy's dad is in law enforcement with the DOJ, he is particularly wary of doing anything that might result in his "facing his parents through jail bars."

If the amino acid sequence of the two organisms are similar , would their DNA be also similar ? why ?

Yes. If the amino acid sequence of two organisms are similar, then the organisms’ DNA sequences would also be similar. The central dogma of biology states that DNA contains the key for RNA, which then codes for proteins.

Transcription and translation are the two phases of protein synthesis.

During transcription, the two strands of DNA unwind. One of the strands serves as a template to make an mRNA strand. Each set of three nucleotides on an mRNA is called a codon. These codons will be important in the second phase of protein synthesis called translation.

After the mRNA is created during transcription, it migrates to the cytoplasm via a nuclear pore.  

During translation, mRNA, ribosomes, rRNA, tRNA, and amino acids work together to make the protein strand.

Once in the cytoplasm, the mRNA and ribosomes attach. The ribosomes serve as scaffolds that match the codons on mRNAs to the anticodons on the tRNAs. Anticodons are sets of three nucleotides on the base of a tRNA that are complementary to mRNA codons.

As the ribosome moves down the mRNA during translation, additional tRNA anticodons are matched with the complementary mRNA codons. On the top of tRNA are amino acids. In this way, amino acids that form a protein are arranged in the correct order.  When two amino acids are adjacent to one another, a peptide bond forms. The polypeptide chain continues to grow until a stop codon is reached.

What was the heart of Rome?

The Heart of Rome was the Palatine Hill, the Roman Forum, and the Colosseum.  According to legend, Rome was founded on the Palatine Hill by Romulus after he killed his brother Remus.  Polytheistic Rome believed heavily in the supernatural and origin stories, so this was important to ancient Romans and is still a key tourist stop today.  The Roman Forum is the heart of the Roman Republic which marked the glory days of Rome.  This is where the two houses met of the Roman Senate and Western republics today say that they originated here as well.  The Colosseum is where the great gladiatorial games took place.  Gladiators were the professional athletes of their day and were treated like rock stars in Roman society.  Of course, the Colosseum in later years saw the executions of political prisoners and Christians for the crowd's entertainment.  Wild beasts from all over the empire were killed here and the lower bowl was even flooded for mock naval battles.  Today the Colosseum is one of the most famous parts of a Roman tour.  

In Lord of the Flies, chapter 6, what connection does the beast have with the novel's themes?

In this chapter, "Beast from Air," what Samneric assume is some sort of beast is actually a fallen paratrooper with his parachute. An explosion occurred during the night, presumably the plane being shot down. Although the airman parachuted out of the plane, he evidently died in the blast. This beast reinforces Golding's theme of the degeneration of society due to moral collapse. Ironically, just as Ralph is fixated on keeping the fire going so the boys can be rescued, we get a glimpse of the outside world as it collapses. It is, after all, a nuclear war that has resulted in the boys' being taken from their homes and ultimately stranded on this island. The outside world is deteriorating quickly, and the boys have a chance to remake society without the follies that their parents' generation has succumbed to. Unfortunately, the boys end up remaking a world full of hatred, schism, murder, and war--just like the world outside.

This "beast from air" is only an outward sign of the true beast, the one Simon meets in chapter 8, the one that is "part of you." The way that the parachute makes "the figure bow forward again, sinking its head between its knees" as it blows the corpse along is a symbolic representation of the despair with which Golding views mankind. As Golding looked over the post-World War II society he lived in and considered the destruction that the evil within man is capable of producing, we can envision him like this beast: "the figure sat on the mountain-top and bowed and sank and bowed again," if not in prayer, then in utter despair.

In what year does Freak the Mighty take place?

The year that Freak the Mighty takes place is unknown.  As a reader, you could consider the date as "present day."  Eventually, that won't work with this book, but for now it does.  The cities and available technologies to Max and Freak are present day things.  The book simply can't take place long long ago, because the homes have basements with wood paneling, hospitals exist with surgery rooms, and the descriptions of schools ring true of modern day.  The book was published in 1993, and it makes sense for the author to place the time setting within an era that he is familiar with.  

There are moments in the book though that "go back in time."  Those are the times that Max and Freak travel via their imaginations to times that have dragons and all sorts of other fantastical creatures.  

Ccompare and contrast the three (3) sociological perspectives.

There are three main theoretical perspectives in sociology.  These are structural-functionalism (often just called functionalism), the conflict perspective, and symbolic interactionism.  The first of these two have some things in common and some differences.  The third is rather different from the other two and does not really share anything in common with them.

Functionalism and conflict theory are similar to one another in that they are both macro-level theories.  Both of these perspectives look at society as a whole or at large groups.  They do not really look at individual people.  Beyond this, however, these two perspectives differ.  Functionalism holds that society is like an organism and that each aspect of society plays a vital role in keeping the society healthy and stable.  This is essentially a positive view of society in which all aspects of society exist for a good reason and help to maintain stability.  By contrast, conflict theory holds that aspects of society arise out of conflict between groups.  There are, in this view, many groups in society that compete with one another.  In each area of conflict, one group wins, and some aspect of society is created.  Each aspect of society is created by the winner of the conflict in such a way as to help them.  Thus, society is made up of institutions that arise from conflict and which are meant to privilege one group over another.

Symbolic interactionism is simply different from these two.  It is so different that it cannot really be compared to them.  While the other two perspectives focus on the macro level, structural functionalism looks at the micro level.  It looks at individual people and how they understand and define the various aspects of the world around them.  To this perspective, society is created by the combined ways in which people interpret all the things that they see around them.  This perspective, then, is one that is concerned not with large groups but with the interactions between individuals and the environment in which they live.

Provide some evidence about how efficient methanol, ethanol, propanol and butanol are at heating, relating to their carbon numbers.

Methanol ( ), ethanol ( ), propanol ( ) and butanol ( ) are the first four alcohols and contain 1, 2, 3 and 4 carbon atoms, respectively. These alcohols undergo exothermic combustion, that is, release energy when burned. We can burn a known quantity of these alcohols in a spirit burner and use the energy generated to heat the water. By knowing the change in water temperature, we can calculate the heat of combustion of each of these alcohols. 

Here is a summary of heat of combustion on per carbon atom basis:

Alcohol     No of carbon atoms   heat of combustion (kJ/mol)    per carbon atom                                                                                            basis (kJ/mol)

Methanol        1                        726                                        726

Ethanol          2                        1367                                      683.5

Propanol        3                        2021                                      673.7

Butanol         4                        2676                                       669

Thus, we can see that as the number of carbon atoms increase, the amount of heat released (per carbon atom basis) decreases. We can also infer that the difference reduces as we go towards higher carbon alcohols. For example, on per carbon atom basis, ethanol releases 10 kJ/mol extra heat as compared to propanol. However, when comparing propanol and butanol, a difference of only about 5 kJ/mol (per carbon atom basis) is obtained.

Thus, fuels with lesser carbon numbers generate more energy, although the difference reduces as we use alcohols with more carbon atoms. 

Hope this helps. 

Can the chemicals found in aluminum foil harm a person if inhaled?

Aluminum foil is made from metallic aluminum and hardly contains any other chemical. Sometimes, kerosene based lubricant maybe used in its manufacturing, but it evaporates very quickly. Aluminum foils are very thin sheets of aluminum (less than 0.5 mm thick) and are made by passing metallic aluminum through rollers. Since, there are no other chemicals present in aluminum foil, we are only exposed to metallic aluminum through the foils. 

According to Center for Disease Control (CDC), very small quantities of aluminum enters our body through inhalation and ingestion and most of it is removed through feces and urine. Inhalation of large amounts of aluminum may cause lung problems, but such exposure is not possible with aluminum foils. People suffering from kidney disease are likely to have higher concentration of aluminum in body (due to less removal) and this may cause bone disease in children. 

Controversy and pushback from the aluminum industry surrounds the question of human and pet harm from aluminum foil, but medical bioenvironmentalists site recent studies as proof that aluminum foil is well established as a neurotoxin factor active in the development of Parkinson's, autism, and dementia.

Hope this helps. 

Evaluate the indefinite integral.

You need to use the following substitution  , such that:

Replacing back  for t yields:

Hence, evaluating the indefinite integral, yields

I need to relate "The Scarlet Ibis" to how significant relationships forge our perceptions. I need help with finding at least 4 parts in this story...

In James Hurst’s short story “The Scarlet Ibis,” Brother, who narrates the story, has his perceptions of life and death change throughout the story. He longs for a brother who can share his adventures in Old Woman Swamp; a brother who can run and play. When his mother tells him that William Armstrong will most likely not be able to do those things she also tells him that the child might not be “all there.” Brother’s hopes go from wanting a companion, to having a brother who is mentally present. As William grows, Brother watches him closely and one day the baby smiles at him. Brother is thoroughly excited by the fact that William Armstrong responds to him.

Another example of Brother’s changing perception is when the baby starts to move around on the bed where he was kept from birth.. He was always isolated from the family but when he begins to move and attempts to interact, the family makes a place for him in their living room. Brother feels the baby becomes part of the family. They are no longer just waiting for him to die. This is when William Armstrong becomes Doodle. Brother feels his given name is only fit for a tombstone so gives him the nickname Doodle based on the way he crawls backwards. Brother perceives Doodle as being alive and a true member of the family.

Brother wants Doodle to be the best he can be. He does not want to go to school having a disabled brother therefore he works very hard with Doodle to get him to walk. First he pulls Doodle around in a cart that their father made and two are able to enjoy time in the swamp, which Doodle finds to be a thing of beauty. Brother sees nature through Doodle’s eyes in a whole new way but that is not enough for Brother. To Brother teaching Doodle to walk is a passion; something he could be proud of. “But all of us must have something or someone to be proud of, and Doodle had become mine.” Getting Doodle to walk takes great effort and patience but eventually the two work together to make it happen. He perceived Doodle’s abilities as a challenge not knowing that he was creating a “double edged sword.”

As the story comes to a climax, Brother perceives Doodle as a failure for not being able to keep up with him when the storm approaches. The boys are in their rowboat which Brother has Doodle row against the current. When Doodle alights from the boat, he collapses. Brother senses the anger growing inside him as he leaves a frightened Doodle behind in the storm. This perception of failure ultimately leads to Doodle’s demise.

What does Ponyboy physically feel or touch?

In Chapter 1, Ponyboy is walking home by himself after watching a movie when he is jumped by a group of Socs. The Socs throw him down on the ground and proceed to punch him in the face. One of the Socs even pulls a knife and puts it up to Ponyboy's neck. Ponyboy realizes that he could die and flips out. Just in time, the Greasers come to Ponyboy's rescue and the Socs run away. After Darry makes sure that Ponyboy is alright, Ponyboy sits down and begins to rub his cheek in the location where he had been "slugged" the most. Sodapop walks over to Pony and notices a cut on the side of his head, and then Two-Bit comments on the bruise that Ponyboy has on his cheek. Once again, Ponyboy physically touches his cheek gingerly. When Ponyboy finally gets home, he looks in the mirror. Ponyboy says, "I rubbed my cheek where it had turned purple" (Hinton 15). In the first Chapter of the novel, Ponyboy physically touches his cheek three times.

What does the word "mutiny" mean ?

Mutiny is an all out rebellion or revolt. We often hear it being used in stories about ships on the sea when the crew members, for one reason or another, revolt against their captain and take over the ship. 

In The Call of the Wild by Jack London, Buck starts a mutiny against the lead dog, Spitz. He starts out by doing small things to sabotage Spitz's leadership, but then Buck gets bolder and encourages the other dogs to do the same. For example, when Spitz goes after Pike for sleeping later than the others, Buck protects Pike. The actions Buck and the other dogs take causes Spitz to lose the respect of the pack. All of the dogs join Buck in this rebellion.

Finally, there is a big fight between Buck and Spitz when they join another team of dogs in a rabbit chase. Buck is in the lead, but Spitz cuts him off and catches the rabbit. Buck attacks Spitz, and there is a fight to the death.

"Buck stood and looked on, the successful champion, the dominant primordial beast who had made his kill and found it good" (London Ch. 3).

What does Odysseus promise the swineherd and cowherd Eumaerus and Philoetius if they stand by him?

In Homer's The Odyssey, Odysseus promises his two servants, Eumaeus the swineherd and Philoetius the cowherd, three great things: marriages, cattle, houses near his own, and to be "brother-in-arms" of Telemachus, Odysseus' son.

"If Zeus brings down the suitors by my hand I promise marriages to both, and cattle, and houses built near mine. And you shall be brothers-in-arms of my Telemachus."

For two servants, this is a great reward for their assistance and loyalty. A marriage arranged by Odysseus, a lord, would mean upward movement for these two men in terms of social status. Similarly, livestock and land near Odysseus would also serve as social and economical improvement. Finally, to see these two as equals to his son is truly the highest honor Odysseus could afford them.

Also, to better understand the weight of these rewards, it's important to understand that Odysseus isn't offering these rewards to just anyone: he is offering these rewards to these two servants who have continuously served his home and his wife during the many years that he was away. That is to say, he is rewarding them for years of loyalty and service alongside their steadfast help when he reveals himself and attempts to reclaim his home.

How does the opening chapter in A Wrinkle in Time leave the reader wondering about the future of Meg or her father?

As for Meg's father, the opening chapter leaves us with a cliffhanger. We know the father has disappeared and that this a cause for gossip in their New England village, but we don't know where he has gone. Then, at the end of the chapter, Mrs. Whatsit matter-of-factly tells Mrs. Murry that tesseracts are real. This causes Mrs. Murry to turn white and clutch her chair for support. Does this news about tesseracts, whatever they are, have anything to do with Meg's missing father, we wonder? And if not, where has he gone? And what does the very odd but charming Mrs. Whatsit have to do with it all? Surely she's arrived for a reason.

As for Meg, we end the first chapter wondering what will happen to this girl who seems such an interesting misfit, who worries about storms blowing the house down and tramps invading with knives, and who is so protective of her brilliant little brother that she'll fight for him. She's a girl who seems smart, curious, and brave. We might be beginning to guess she will go on an adventure to find her father, but as of yet, we don't know.

Was Reverend Hooper's crusade with the veil a sign of superior insight and virtue or a sign of mental illness?

Mr. Hooper's decision to don the veil is certainly a sign of his superior insight and virtue, and most definitely not a signal of mental illness.  We learn, when he tells Elizabeth, that he wears the veil as a result of his realization that all of us are sinful creatures, and yet all of us try to hide that sin from our peers.  He doesn't say this directly, but he asks, "'if I cover [my face with the veil] for secret sin, what mortal might not do the same?'"  He also explains that he will only have to wear this veil during life because it will be no longer necessary after death: "'it is not for eternity!'" he cries.  The reason he'll no longer have to wear the veil after death is that his sins will be laid bare before God, and Mr. Hooper will have no need to hide them anymore.  In eternity, his peers will not be his judge, but rather God will.

The response of Mr. Hooper's parishioners also lets us know that his decision to wear the veil is not a sign of madness.  When he discovers that each of us hides our secret sinful natures from one another, thus holding up a figurative veil between ourselves and others in an attempt to hide our sins, he is right.  After his first sermon wearing the veil, the narrator says that

Each member of the congregation, the most innocent girl, and the man of hardened breast, felt as if the preacher had crept upon them, behind is awful veil, and discovered their hoarded iniquity of deed or thought.

Every person, no matter how seemingly innocent or hardened, becomes suddenly aware that Mr. Hooper knows of their "hoarded iniquity of deed or thought."  He knows that they have secret sins, and so "the hearers quaked."  If the veil were only a sign of Mr. Hooper's madness, then his hearers would likely be baffled by it, but they would not recognize the immense and incredible truth of it.  Clearly, then, Mr. Hooper has realized something that no one else has: that we are not, as individuals, sometimes sinners, but we are, as human beings, inherently sinful.  And despite this similarity, we insist on hiding our sins from one another and thereby prevent our ever really knowing or being known by anyone.

What can you infer about Antonio's and Shylock's characters from the bond made between them?

Each of these characters comes to the bond with very different intentions. In the bond, we see in one sense the power of the market to bring people of different religions together despite the sectarian divisions inherent in their society. In the bond they agree upon, we see that each party is ready to risk something.

In Antonio's case, he is willing to risk his life. The terms upon which the bond is drawn up require Antonio to forfeit an amount of flesh whose weight equals in value the gold he failed to pay Shylock (1.3.145). If his ships do not make it safely to port, Antonio will be in danger of death from loss of blood. Antonio takes this risk at a potentially enormous cost for no material profit. What the generous merchant forgoes by way of material wealth, he makes up in the loving loyalty of fraternal friendship.

In contrast, Shylock makes the bond for motives of vengeful spite. Before making the bond, he catalogs a number of abuses meted out by Antonio (1.3.106). He brings these abuses up to shame Antonio as a hypocrite.

In summary, Antonio reveals himself to be a charitable, altruistic  individual, while Shylock reveals himself to be unforgiving and argumentative.

What are some similes in chapters 9-12 of The Outsiders?

A simile is a comparison between two things that are actually unlike but that have something in common. Like metaphors, similes are figures of speech. Similes, however, contain the words like or as. There are at least three similes in chapter nine of S.E. Hinton's novel The Outsiders. In the beginning of the chapter, the greasers are preparing for the rumble against the Socs and Ponyboy is asking each one of them why they like to fight. Sodapop replies that fighting was "Like a drag race or a dance" because for Sodapop those things, like fighting, have an element of fun in them. Ponyboy later concludes that "Soda fought for fun." Before the rumble, the boys are excited and Darry starts to do acrobatic moves on the front lawn when Steve joins him by doing a back flip. Ponyboy describes Steve as "Screeching like an Indian" as he runs across the lawn. Later, at the rumble, just before the boys fight the Socs, Ponyboy describes Darry both literally and figuratively as he compares the stare in his brother's eyes to ice: "He stood there, tall, broad shouldered, his muscles taut under his T-shirt and his eyes glittering like ice." 

George is Lennie's mentor. Consequently he looks up to him in Of Mice and Men. What is a quote that shows this?

Chapter 1 in Of Mice and Men features specific examples of how Lennie looks up to George. 

• 
  to look up to (idiom): to perceive someone as worthy of respect and admiration

Lennie's imitation of George is one way that shows how Lennie looks up to--admires and respects--George. Lennie needs George because George shows Lennie how to act and behave. In the first chapter, Lennie imitates George when both of them lay down after walking into the brush:  "George lay back on the sand and crossed his hands under his head, and Lennie imitated him, raising his head to see whether he was doing it right." Steinbeck is deliberate in his narration.  He says that Lennie imitates George to make sure he was "doing it right."  Lennie recognizes that George represents the way to behave.  In doing so, Lennie illustrates that he looks up to George through imitating him.

Another way that Lennie illustrates that he looks up to--admires and respects--George is by following the directives that George gives him.  In Chapter 1, George tells Lennie how to act when both men get to the ranch in terms of remaining silent:  "Lennie droned to himself softly, 'I ain't gonna say nothin'...  I ain't gonna say nothin'... I ain't gonna say nothin'..."  When Lennie repeats George's instructions to himself, it shows how Lennie looks up to George because he displays a sincere desire to want to follow George's orders.  Both through imitation and compliance, Lennie shows how much he looks up to George.

Why did the prisoner's reading preferences change as they did?

The story itself does not give any specific indication as to why the lawyer's reading habits changed and went through the ebb and flow that they did.  The first thing that he read was light reading.  I think the reason that he did that was because he was trying to simply pass the time.  He could only do that for so long though.  He probably realized that as long as he was going to be in his prison for years and years, he might as well learn something useful.  That's probably why he began studying languages.  Being multilingual is something that he could immediately apply upon his release.  After mastering multiple languages, he turned to history and sciences.  That's beefing up his knowledge base.  For the lawyer's final two years, his reading habits became seemingly random.  

During the last two years of his confinement the prisoner read an extraordinary amount, quite haphazard. Now he would apply himself to the natural sciences, then he would read Byron or Shakespeare. Notes used to come from him in which he asked to be sent at the same time a book on chemistry, a text-book of medicine, a novel, and some treatise on philosophy or theology. He read as though he were swimming in the sea among broken pieces of wreckage, and in his desire to save his life was eagerly grasping one piece after another.

I think the reason for that is the lawyer systematically went through most of his reading and learning, and he is now trying to fill in whatever gaps he happens to think that he has.  Or he might be just trying to fill his remaining time with whatever reading material strikes his fancy at the moment. 

In the book Of Mice and Men, what is the purpose of old Susy's place?

Susy’s place is a brothel. This place is significant in a few ways. First, this is the place where the men to go to deal with their stress.  The men look forward to going to this place, because they are so lonely. The life of the migrant workers is described as filled with alienation. There are no friendships, no community, and little compassion for each other.  So, Susy’s is a place where men can find things that they don’t have on the ranch.

The men describe the place as a place of laughter and comfort.  They are nice chairs, and Susy does not kick out the men, if they just want to sit there to relax.

We go in to old Susy’s place. Hell of a nice place. Old Susy’s a laugh—always crackin’ jokes. Like she says when we come up on the front porch las’ Sat’day night.

From this perspective, we can also say that Susy’s is a place of escape for the men.

Susy’s is also significant, because it was when the men are there that Lennie, Candy, and Crooks have a conversation. This is one of the few places in the book where there is a sharing of hearts on a deeper level.

What are two factors that influence the solubility of substances in water?

There are a number of factors that determine the solubility of different substances in various solvents. One of these is temperature. Most substances have different solubilities depending on temperature, and for many substances, higher temperatures tend to result in greater solubility. For instance, salt and sugar into hot beverages is one commonplace example--they dissolve well into hot water, tea, etc., but less is able to dissolve at lower temperatures.

Another factor that determines solubility are the relative polarities of solutes and solvents. If substances have a strong electromagnetic attraction for one another, they tend to stay tightly bound within one another (e.g. water molecules that dissolve many solutes well, and are very polar); however, if the polarities of solute and solvent results in only weak attractions, this can result in a weak level of solubility, with less solute being dissolved.

Use matricies to solve the system of equations. Use Gaussian elimination with back-substitution.

Rewrite in matrix form

Divide the first row by -1

Multiply the first row by 2

Subtract the first row from the second row and restore it

Divide the second row by -2

Multiply the second row by -1

Subtract the second row from the first row

Therefore,

When is a bronze bow mentioned in the book The Bronze Bow?

The bronze bow is a recurring motif in Elizabeth George Speare's novel. It is first introduced in chapter 7 when Joel reads scripture to Daniel while he is recuperating in the secret passageway. The three friends take a vow to fight for God's victory, and then they agree to "mark some sign on the wall" of the secret entrance to Hezron's home if Daniel needs to get a message to Joel. Thacia suggests using the sign of the bronze bow from the scripture passage. The friends then discuss the passage, with Thacia suggesting it means "that when God strengthens us we can do something that seems impossible."

In chapter 12, when Daniel forms the band of village men working to assist Rosh, they decide to "carry the sign of the bow in our minds" and to use it as "our password."

In chapter 15, when Daniel is beginning to take more pleasure in his work in his blacksmith shop, he fashions a tiny bronze bow with a pin as the arrow that can be used as a cloak pin. He hides his creation away, deciding to "keep it to remind him of his purpose."

In chapter 24, Daniel has become discouraged because Leah has taken a turn for the worse. He has given up on Jesus as being the one to deliver the Jews from Rome. In his despair, he thinks, "God did not mean the bow of bronze for him." But when Jesus arrives at his house to heal Leah, Daniel responds to Jesus' love for him. He realizes that "only love could bend the bow of bronze." Thus the first and last mention of the bow come full circle, showing that through the power of love, Daniel has been able to do what had seemed impossible, namely, give up his hatred of the Romans.

These are some of the main places where the bronze bow appears in The Bronze Bow.

How is Boo Radley discriminated against in Harper Lee's To Kill a Mockingbird?

In Harper Lee's To Kill a Mockingbird, Boo Radley is discriminated against due to beliefs formed about him based on rumors.

Interestingly, readers do not actually learn from any trustworthy characters in the book exactly what Boo Radley's situation is. The only character we would trust hearing information from is Atticus Finch, and, when either Jem or Scout asks about Boo Radley, Atticus keeps his mouth shut and warns his children to mind their own business. In consequence, both the children and the reader learn about Boo from only Miss Stephanie Crawford, a "neighborhood scold" and gossip. In fact, Scout even states later in the book that "no one with a grain of sense trusted Miss Stephanie" (Ch. 5). Earlier in Chapter 1, we learn Miss Stephanie informed Jem that Boo is mentally unstable, guilty of having stabbed his father in the leg with a pair of scissors, and was imprisoned in the county jail until the town council begged Mr. Radley to take Boo back. According to Miss Stephanie's rumors, once back in the Radley household, the Radleys put Boo under house arrest and forbade him from ever leaving the house. However, while the reader knows, along with the kids, that Boo never leaves his house, the reader never learns if any of Miss Stephanie's stated reasons are the true reasons.

Due to Miss Stephanie's rumors, the kids and other citizens of Maycomb are prejudiced against Boo. The kids' prejudices emerge in things they say about Boo. For example, Jem tells Dill that Boo comes out at night "when it's pitch dark" and that Miss Stephanie has seen him staring straight at her through her window in the "middle of the night" (Ch. 1). The children have even developed the impression that Boo would kill them if they got anywhere near him.

Despite having felt these prejudices, Jem is the first to realize that Boo is trying to reach out to the children in his own special way by mending Jem's trousers and leaving them gifts in the knot-hole of an oak tree on the Radley property. Due to Jem having seen Boo through a veil of prejudices for so long, Jem cries when he realizes Mr. Nathan Radley had filled the knot-hole with cement thereby preventing the children from contacting Boo by leaving a thank-you note. Jem cries because it breaks his heart to think that the children have no way of showing kindness to Boo in return and to make amends for having mocked Boo.

What is the point of suspense in a story?

Suspense adds tension to a story.  The two items come hand in hand.  Suspense can be scary, moody, exciting, etc., but in all cases it creates tension in the reader or the viewer.  Alongside tension is stress.  That is why a lot of people sometimes use "tense" and "stress" interchangeably.  "I'm super stressed this week."  "I'm so tense right now that I might vomit."  Suspense brings those emotions to the reader or the viewer, because usually the outcome of the suspenseful part is completely unknown.  Will the hero character live?  Will he die?  What will happen to the innocent civilians?  Where is that giant shark?  In all of those questions one thing is clear, the story teller has not given the viewer a clear indication of what will happen.  The fear of the unknown is suspenseful and creates stress and tension.  

What is the difference between an observation and an inference?

An observation is something we see, smell, feel, etc. That is, an observation is made by use of one or more of our senses. We observe something or someone all the time. An inference, on the other hand, is a possible explanation of the observation. For example, when we see someone yawning, we assume that the person may be sleepy. The first part, "seeing" someone doing "something" is an observation. The second part, the assumption that the person is sleepy, is an inference. The inference for any observation is based on our past experience and knowledge and can change if we make a contrary observation. Scientists make inference all the time, based on their experiments. We also make inferences for various observations in our day to day life. For example, if you see steam rising from a cup of tea, experience has taught you that the tea may be hot. 

Hope this helps. 

If 2 grams of H₂(g) and 64 grams of O₂(g) were in a sealed container and the following reaction occurred: 2H₂(g) + O₂(g) ⇄ 2H₂O(g)...

For the given equation:

We can use stoichiometry to determine the relationship between products and reactants. Here, 2 moles of hydrogen reacts with 1 mole of oxygen to produce 2 moles of water. In the second equation, 1 mole of hydrogen reacts with 0.5 mole of oxygen to produce 1 mole of water.

The molecular mass of hydrogen = 2 x 1 = 2 gm/mole

molecular mass of oxygen = 2 x 16 = 32 gm/mole and that of water = 2x1 + 16 = 18 gm/mole.

We are given 2 gm of hydrogen, that is 1 mole of hydrogen, and 64 gm of oxygen, that is 2 moles of oxygen. From the stoichiometry, we can see that 1 mole of hydrogen will react with only 0.5 mole of oxygen and will produce 1 mole of water.

That is, with the given quantity of reactants, only 1 mole or 18 gm of water will be produced.

Hope this helps.

The Force exerted on a material that is squeezed is a what?

The force that squeezes a material is a compression force. Think of what happens when we squeeze a spring. We are actually applying a compression force on the spring. Any object kept on the compressed spring is launched into the air, when the compressed spring is released. The compression force is thus made use of in a number of devices. The most common example is the toy dart gun, in which kids apply a compression force on the spring through the dart and when triggered, the compressed spring is released, which releases the dart into air. We also use the compression force in air compressors. These devices suck in the atmospheric air and compresses it to a much smaller volume. The compression force is released when the air is released and can be put to a number of applications. 

Hope this helps. 

Who is the protagonist and who is the antagonist in "The Open Window"?

The protagonist of the story "The Open Window" is Framton Nuttel. Framton is a stranger to the Sappleton family, which he goes to meet for the first time at their home in the country, in order to stay with them. He goes there in hopes to rest to get a cure for his nervous condition. His sister, who had visited the area and met the family years ago, had sent with him letters of introduction so that the Sappletons know who Framton is.

Since Nuttel needs to cure his current nerve condition, anything or anyone that attempts against that, or against Framton, would be considered his antagonist. The definition of "antagonist" is

1. a person who is opposed to, struggles against, or competes with another; opponent; adversary.

2. the adversary of the hero or protagonist of a drama or other literary work.

In this case, Nuttel's adversary, or antagonist, would be Mrs. Sappleton's niece, Vera. Vera is 15 years-old, described as "self-possessed", and the teller of the fictitious story about the deadly accident of Mrs. Sappleton's husband and her two young brothers.

Vera is his antagonist because she acted against Framton in full knowledge that her story would actually make his nerves even more delicate. Even though she was just being a mischievous teenager, she would still be considered his antagonist for this very reason.

Contrary to the antagonist, the protagonist of a story is the leading character. Framton is the leading character of "The Open Window" because he is at the center of the story, and because his main problem is also a big part of the plot.

Why did Brecht choose Szechwan as the title for The Good Woman of Szechwan?

Bertolt Brecht's choice of the non-existent locale "Setzuan" as the setting for his drama "The Good Woman of Setzuan" is interesting in many respects.

First, as a German playwright, creating a work that takes place in China was a novel idea, but more importantly, one destined to remove many cultural or social concepts which his audience might overlay on a work set in his native land. Put another way, familiar issues taking place in a far distant land would allow his audience to regard them with fresh eyes, unbiased by their own attitudes and sensibilities.

Another aspect worth considering is that scholars have long associated the title location with the similar-sounding region of Szechwan (known today as Sichuan) in China. Considering that the play is a parable, the foreign setting adds to the "otherworldly" quality of the work--the focus is on the main character's moral conflict; insignificant matters, such as the daily customs of society, are thus relegated to the background where they will not distract from the point of the story.

As for the location itself, while it is unlikely Brecht was aware of it, the majority of the population in Sichuan is described as non-religious. Had Brecht known (which is purely speculative) it would make the drama that much more significant, as the main character struggles to attain moral virtue in a world which she sees as rewarding the evil and punishing the good.

Write the partial fraction decomposition of the rational expression. Check your result algebraically.

The denominator factors out as thus the general decomposition is

To find A, B and C, multiply both sides by

or

so

A+B=0, A+C-B=2 and A-C=0.

From this B=-A, C=A, A+C-B=A+A+A=3A=2, so A=2/3, B=-2/3, C=2/3.

Now check this:

which is correct.

How are the two poems "Because I could mot stop for death" and "I heard a fly buzz - when I died" similar?

Emily Dickinson wrote many poems about death. Two of the most unusual of them are "Because I could not stop for Death" (479) and "I heard a Fly buzz - when I died" (591). Both of these poems relate the death of the speaker in the first person, meaning that the speaker is describing her own death after she has already died. In this each poem violates the adage, "Dead men tell no tales." One of the most mysterious things about death is that no one has lived through it to tell us about it. This accounts for, in our day, public fascination with near death experience accounts like Heaven Is for Real and others.

Both poems personify death, giving it human characteristics. In the former, Death is driving a carriage that brings the speaker to the graveyard. In the latter, death is described as "the King" in line 7. Both poems reveal a resignation toward death; the speaker knew she had to go. In Poem 479, she states, "I had put away / My labor and my leisure too, / For His Civility." Poem 591 mentions the speaker having made her last will and testament. Both poems have a calm, quiet tone. "We slowly drove - He knew no haste" describes the mood in the first poem, and the second refers to "the Stillness in the Room."

Both poems use understatement to great effect. The first describes Immortality, an overwhelming concept, as something that is able to ride as an extra passenger in the carriage. The second focuses on the sound of a fly buzzing--something very mundane and insignificant when compared to the immensity of death.

Both poems use the "fourteener" structure that Dickinson favored: Each stanza consists of fourteen iambic feet arranged in alternating lines of four and three. Of course, both poems also display Dickinson's unique capitalization and punctuation quirks, especially the dash.

Both poems demonstrate Dickinson's unparalleled poetic genius in that they capture a perspective on death that challenges the reader to consider the topic in new and surprising ways.

Which of the following features would be used to construct a phylogenic tree? A. homologous structures B. fossil record data C. DNA-DNA...

The answer to your question is option (d). Homologous structures, fossil record data, DNA-DNA hybridization, and amino acid sequences are all features used to construct a phylogenetic tree.

Phylogenetic trees are like family trees. They show the evolutionary ancestry of different “clades”. A major branch that juts off the main trunk of a phylogenetic tree is considered a clade. A clade is group of similar organisms that are thought to have evolved from a common ancestor.

Phylogeny uses the three broad categories of morphology, genetics, and behavior to find similarities between and classify organisms into groups.

Options (a) and (b) in your question related to the morphology realm of phylogeny. Fossil records can reveal homologous structures. Homologous structures are structures that have similar mechanical designs, but are found in different organisms. Animals that share homologous structures are thought to also share a common ancestor. The arm of a human, leg of a dog, and fin of a whale are examples of homologous structures.

Options (c) and (d) lie within the genetics realm of phylogeny. The more DNA or amino acid sequences two species share, the more closely related they are thought to be.

Poe is a master at creating atmosphere. What are some of the story details and images that would have a strong appeal to an audience?

Poe believed that the point of writing poems or stories was to create an emotional response in the reader. That means that his fiction is less concerned with realism, per se, than it is with “atmospherics,” as you say. Take for example the following passage from beginning of “The Fall of the House of Usher”:

DURING the whole of a dull, dark, and soundless day in the autumn of the year, when the clouds hung oppressively low in the heavens, I had been passing alone, on horseback, through a singularly dreary tract of country, and at length found myself, as the shades of the evening drew on, within view of the melancholy House of Usher. I know not how it was—but, with the first glimpse of the building, a sense of insufferable gloom pervaded my spirit. I say insufferable; for the feeling was unrelieved by any of that half-pleasurable, because poetic, sentiment, with which the mind usually receives even the sternest natural images of the desolate or terrible. I looked upon the scene before me—upon the mere house, and the simple landscape features of the domain—upon the bleak walls—upon the vacant eye-like windows—upon a few rank sedges—and upon a few white trunks of decayed trees—with an utter depression of soul which I can compare to no earthly sensation more properly than to the after-dream of the reveller upon opium—the bitter lapse into every-day life—the hideous dropping off of the veil.

The effect of the passage is to create an emotion – one of oppression, or dread – in the reader. The way he does it is partly through the use of descriptive language the “dull, dark, soundless day,” the “singularly dreary” countryside the traveller crosses – we can visualize, so an extent, this place, with its “vacant eye-like” windows, and “white trunks of decayed trees.” But key element in Poe’s ability to evoke an emotional response lies often in what he does not say explicitly. When he says the house was “insufferable,” it is because of what it lacks – the “half-pleasurable, because poetic, sentiment” one “usually” has when looking upon the melancholy. What that sentiment might be, only the reader really can say. That is, Poe sets the stage with his description, but leaves the actual emotion evoked up to the reader. The effect is intense because it is internalized.

There are many other examples. In “The Tell Tale Heart,” the tension in the story works off of a form of dramatic irony: the narrator can hear the beating heart of the murdered old man, but can the police? As readers, we are put in the murderer’s shoes, and his mania becomes our own. In “The Pit and the Pendulum,” the narrator deliberately refuses to open his eyes; his imagining of his surroundings, and his effort to reconstruct his memory of events parallels the reader’s own effort to comprehend events. In “The Raven,” the repeating word, “nevermore,” certainly evokes a melancholy feeling, one which the poem itself does not define precisely, instead leaving a blank space for the reader to fill with his own emotion.