Onboard Note

It is Iago's envy that causes him to hatch his scheme to destroy Othello. This scheme forms the basis for the entire plot. The audience discovers in the first scene of the play that Othello has passed over Iago for a promotion, choosing instead to promote Michael Cassio. Iago and Rodrigo go to Brabantio's house (Brabantio is Desdemona's father) to tell him that Othello and his daughter are sleeping together. This, it turns out, is just the beginning of Iago's scheming. In a soliloquy to end the scene, he resolves to "show out a flag and sign of love" to the Moor, though he says he hates him as he does "hell-pains." Iago's jealousy and scheming sets in motion a series of tragic events that consume Othello, his innocent wife Desdemona, Iago's wife Emilia, and others. Iago's scheme is so vicious and cunning that it seems entirely out of proportion to the grievance that he airs at the beginning of the play. 

The "two kinds" that Suyuan is talking about are the two different kinds of daughters that exist.   The line comes fairly late in the story.  Suyuan has been pushing Jing-mei for months and months to be some kind of child prodigy.  The most recent attempt was to turn Jing-mei into an amazing pianist.  It failed miserably because Jing-mei gave it zero effort.  In fact, Jing-mei intentionally tried to sabotage the entire endeavor.   So maybe I never really gave myself a fair chance. I did pick up the basics pretty quickly, and I might have become a good pianist at the young age. But I was so determined not to try, not to be anybody different, and I learned to play only the most ear-splitting preludes, the most discordant hymns. Eventually Jing-mei had to perform in front of a large audience, and it went terribly; however, Jing-mei believed that she had performed poorly enough to cause her mom to stop pushing the piano prodigy dream.  It wasn't to be.  Two days after the pia...

a) To find the intervals of increasing or decreasing f(x), recall: --> f'(x) = positive value implies increasing f(x) of an interval I. --> f'(x) = negative value implies decreasing f(x) of an interval I. Applying power rule derivative on f(x) = 5x^(2/3)-2x^(5/3) : f'(x)= (2/3)*(5x^(2/3-1))-(5/3)*(2x^(5/3-1)) f'(x)= (10)/3x^(-1/3) -(5/3)*2x^(2/3) f'(x)=(10)/(3x^(1/3))- (10x^(2/3))/3 f'(x)= (10)/(3x^(1/3)) -(10x^(2/3)*x^(1/3))/(3*x^(1/3)) f'(x)= (10 -10x)/(3x^(1/3)) Note: x^(2/3)*x^(1/3) = x^(2/3+1/3) or x^1 Solve for critical value x=c by letting f'(x)=0 and D(x)=0. Let D(x)=0: 3x^(1/3)=0 3x^(1/3)*(1/3)=0*(1/3) x^(1/3)=0 (x^(1/3))^3=0^3 x=0 Let f'(x)=0: (10 -10x)/(3x^(1/3)) =0 (10 -10x)= 0*(3x^(1/3)) 10-10x=0 10x=10 x=1 Table: x -1 0 0.5 1 2 f'(x) -6.7 undefined 2.1 0 -2.6 intervals of decreasing f(x): (-oo ,0) and (1,+ oo ) interval of increasi...

Phyllisia's very much an outsider. As the daughter of West Indian immigrants, she feels somewhat alienated from the rest of society. And her outsider status follows her to school, where, like a lot of children who stand out from the crowd, she becomes a prime target for bullying. As well as her unusual background and exotic accent, Phyllisia stands out for being quite ugly, and that's always a handicap at any school. Furthermore, she's also very intelligent and knows all the answers to the teacher's questions. This makes her even more hated by the other girls in class, who resent her for being "teacher's pet." But Phyllisia doesn't want to stand out any more than she already does. She doesn't want to make life any harder for herself. That's why she doesn't raise her hand in the air and volunteer to answer the teacher's questions; she only answers if she's specifically asked. So when Miss Lass asks the class which continent Egypt is ...

Hemingway believed that the omission of certain facts about characters or plot helped strengthen his stories. He hoped that readers would bring their own interpretations and abilities to infer important details. For example, in the novel The Sun Also Rises, Hemingway never overtly tells his reader that Jake Barnes is impotent because of a wound suffered during World War I, yet the fact is implied and acts as a metaphor for the impotence of his generation. On the surface, the short story "Hills Like White Elephants" appears to be about a casual conversation between two lovers as they travel through Spain. Hemingway, however, immediately signals that there is a problem in the first paragraph with his description of the setting. He writes that the train station was "between two lines of rails in the sun," suggesting that this couple may be on the verge of going their separate ways. There is a curtain over the door to the bar, and the couple sits in the shade, implying ...

Magical Realism in literature originated in Latin America. It owes some debt to extreme realism (in the arts) which was an intense focus on the "real." But Magical Realism in literature owes more to the development of Surrealism in the early 20th century. Simply put, Magical Realism is the fusion of realistic elements with elements of fantasy, the supernatural, or any others that are not realistic. A famous example of this style is Gabriel Garcia Marquez's short story "A Very Old Man with Enormous Wings." Everything about the story is realistic except for the man with wings. It is a mix of realism and fantasy. In Dreaming in Cuban, a complicated story about family, politics, and identity, there are realistic and fantastic elements. Celia and Felicia have recurring visions of the deceased Jorge (Celia's husband). Pilar, daughter of Lourdes and granddaughter of Celia, becomes increasingly aware of an inner voice, something that is both a realistic urge to conn...

Determine the center and radius of the given circle. Write the standard form of the equation. Using the distance formula, to solve for the diameter, but $\displaystyle r = \frac{d}{2}$. So we have $ \begin{equation} \begin{aligned} r =& \frac{\sqrt{(1-3)^2 + (0-2)^2}}{2} \\ \\ r =& \frac{\sqrt{4+4}}{2} \\ \\ r =& \frac{\sqrt{8}}{2} \\ \\ r =& \frac{2 \sqrt{2}}{2} \\ \\ r =& \sqrt{2} \end{aligned} \end{equation} $ To find the center of the circle, we use the Midpoint Formula, $ \begin{equation} \begin{aligned} M =& \left( \frac{x_1 + x_2}{2}, \frac{y_1 + y_2}{2} \right) \\ \\ =& \left( \frac{0+2}{2}, \frac{1+3}{2} \right) \\ \\ =& \left( \frac{2}{2} , \frac{4}{2} \right) \\ \\ =& (1,2) \end{aligned} \end{equation} $ So the center of the circl is $(1,2)$. The equation of the circle in standard form is $ \begin{equation} \begin{aligned} (x-1)^2 + (y-2)^2 =& (\sqrt{2})^2 \\ (x-1)^2 + (y-2)^2 =& 2 \end{aligned} \end{equation} $

At the end of the book, after his encounters with the three Christmas ghosts, Scrooge wakes up in his own bedroom on Christmas morning a very different man from the greedy miser who, the evening before, hated the world, begrudged his clerk Christmas Day off, and wished the poor would die and rid the world of their excess population. Instead, he is overjoyed to be alive. He is in love with the world. One quote that expresses this is the following: I am as light as a feather, I am as happy as an angel, I am as merry as a schoolboy. I am as giddy as a drunken man. A merry Christmas to everybody! A happy New Year to all the world. Hallo here! Whoop! Hallo! Further, when he looks out the window, everything he sees seems bright and wonderful to him, showing he has gone from miserable to joyous: Golden sunlight; Heavenly sky; sweet fresh air; merry bells. Oh, glorious! Glorious! He also laughs, "Ha ha ha!” We are told he hasn't laughed in a long time and is out of practice but nevert...

The connection between Elisa and her treasured chrysanthemums is illustrated in John Steinbeck's short story "The Chrysanthemums." The opening of the story shows the relationship Elisa has with her flowers; they are almost like her children. She is cutting down the prior year's flowers to make room for the newly budding flowers. The way that she does this is nurturing and loving. She wants to make sure that nothing, no weeds, bugs, or old stalks, will stunt the growth of the new flowers. Later, when she is conversing with a man from a caravan, she tells the man about the size of her flowers—they have grown "ten inches across." She tills the earth to take care of the flowers, and the flowers, in return, bring her pride and happiness. Elisa and the flowers are intertwined. She needs them, and they need her. As the story unfolds, readers become aware that the flowers symbolize Elisa's feminity. During her conversation with the man from the caravan, he openl...

Characters who are not what they seem: 1. Claudius Act 1, Scene 2: Claudius is asking Hamlet to stay at home for a time and to not go back to school in Wittenberg. In lines 110–117, Claudius says to Hamlet, And with no less nobility of love Than that which dearest father bears his son Do I impart toward you. For your intent In going back to school in Wittenberg, It is most retrograde to our desire. And we beseech you, bend you to remain Here in the cheer and comfort of our eye, Our chiefest courtier, cousin, and our son. He claims that he wants Hamlet to be home because he loves him and wants him to be the first member of his court. Remember that Hamlet's biological father is dead. Claudius (his uncle) married Hamlet's mom about a month after Hamlet's father's death, so Claudius is now technically Hamlet's step-father. Claudius is only pretending to truly care for Hamlet and only pretending to want to work closely with him. In actuality, he is nervous about Hamlet...

Voter turnout in the United States is significantly lower than in most other developed countries. In 2016, about 55 percent of the voting-age population voted for president. It was more than in 2012, but less than in 2008. In comparison: 73 percent of the voting-age population of Finland voted in 2015. 87 percent of the voting-age population of Belgium voted in 2014. 78 percent of the voting-age population of South Korea voted in 2017. 73 percent of the voting-age population of New Zealand voted in 2014. 65 percent of the voting-age population of the U.K. voted in 2016. The United States was number 28 on the list of voter turnout for the most recent national election out of 35 members of the Organization for Economic Cooperation and Development. The adoption of the Australian ballot and the Motor-Voter Act of 1993 were at least partially intended to increase voter turnout but were not significantly effective.  The Motor-Voter Act was created to make registering to vote easier. However,...

Henry Fleming, a young soldier in the Union army during the Civil War, describes his first months in the army as a "monotonous life in camp." During these months waiting for an assignment, Henry has begun to perceive himself as merely a part of "a vast blue demonstration." Each day the soldiers are drilled and drilled and reviewed; then, they are again drilled, drilled, and reviewed in what becomes tedious repetition. Added to this, random soldiers return to camp, shouting some news that they have supposedly learned. One day, a tall soldier comes running into camp, waving his shirt as though it were a banner. He shouts, "We're goin' t'move t'morrah--sure....We're goin' 'way up river, cut across, an' come around in behint 'em." One of the soldiers claims, "It's a lie! that's all it is--a thunderin' lie!" He adds that he does not believe that the troop will ever move. Later on in the day, this informa...

In the book, Paulsen tears his kneecap before his sled shoots off the edge of a frozen waterfall. To make matters worse, Paulsen then drops twenty feet and lands on his injured knee on a frozen pond, just beneath the waterfall. After a brief loss of consciousness, Paulsen begins to realize his grave danger. He is bleeding profusely and is unable to get to his feet. By his calculations, he is at least twenty miles from home and about eight or nine miles from the closest human dwelling. Paulsen is frightened and worries that he will die out in the cold. As he contemplates his fate, he notices Obeah, one of his dogs, looking down at him from the top of the waterfall. Usually, sled dogs do not go back for their masters or mushers, but Obeah drags the other dogs down an embankment until they reach Paulsen. The dogs bring Paulsen's sled to him, while another dog, Duberry, begins to lick and clean the wounds on Paulsen's leg. Because of his dogs, our protagonist is able to muster up t...

As the play opens, Nora is bringing home the Christmas shopping. She carries several packages. Right behind her is a porter, carrying the Christmas tree and a basket. He hands the basket to Ellen, the family’s maid. Nora inquires how much the porter’s charge is for carrying these things. When he tells her sixpence, she gives him a shilling—twice the amount he stated—and tells him to keep the change. This generosity at holiday time shows that she understands the value of workers’s time and that she is in the holiday spirit. By establishing the idea that Nora is generous, Henrik Ibsen sets the stage for the subsequent conversation between Nora and her husband, Torvald, who then enters. Torvald teases her excessively about being a spendthrift, as she justifies spending a bit more this year because he is getting a promotion. It soon turns out, however, that Torvald is completely clueless. Nora is far from frivolous; she has created this false impression in her husband’s mind to disguise th...

The two more commonly believed historical models of the universe include the geocentric model and the heliocentric model. The main difference between these two models is which heavenly body lies at the center of the universe. According to the geocentric model of the universe, the Earth was believed to be the center of the known universe and all the other heavenly bodies were assumed to orbit around our Earth. The heliocentric model, on the other hand, stated that the Sun is at the center of the known universe, with the heavenly bodies orbiting around it. The geocentric model, also known as the Ptolemaic model, was the commonly believed model of the universe by the Greeks, and this model lasted for a really long time in human history. Nicolaus Copernicus came up with an alternative to the geocentric model, the heliocentric model, in the year 1543. Hope this helps.

It's act 1, scene 3 and Antony and Cleopatra are having another of their legendary blazing rows. Antony is about to depart for Rome and his Egyptian queen's not too happy about it. She starts getting melodramatic, loudly lamenting to anyone who'll listen how she's always being betrayed. Cleopatra then launches into a passive-aggressive rant, blaming herself for Antony's departure. After all, if Antony could cheat on Fulvia with Cleopatra, why couldn't he also cheat on Cleopatra herself?: Why should I think you can be mine, and true— Though you in swearing shake the thronèd gods— Who have been false to Fulvia? Riotous madness, To be entangled with those mouth-made vows Which break themselves in swearing! How could Cleopatra have been such a fool to believe that Antony would stay true to her? Actually, it wasn't just foolishness; it was madness; the kind of madness that clouds the judgment of those in the grip of a passionate, all-consuming love, or amour fou—...

"The Stolen Bacillus" is a short satire that focuses on the role of science in human society, making it thematically similar to many of Wells' other works. The story begins with a bacteriologist and his anxious yet intellectually curious houseguest. Upon request, the scientist shows his guest a vial of living cholera bacteria, and the vial is stolen shortly after the man's departure. The bacteriologist goes on a panicked search when he realizes his houseguest is actually an anarchist who plans to infect London's water supply with cholera. As the bacteriologist pursues his target, he is in turn pursued by his wife, who thinks he has lost his mind since he ran out of the house without being properly dressed. The bacteriologist finally catches up with the anarchist, who breaks the vial in an attempt to escape. In a desperate effort to bring his menacing plan to fruition, the man drinks the remains of the vial's contents and begins his effort to infect the city wi...

While the Cold War impacted the world in numerous ways, possibly the most visibly jarring result of the conflict was the Berlin Wall. From 1961 to 1989, this concrete and barbed-wire barrier visibly divided Western Europe and the Eastern Bloc, primarily preventing emigration from East Berlin to West Berlin, despite its official purpose of keeping Western fascism out of East Germany. Prior to the wall's construction, residents of East and West Berlin were able to freely cross the border from one side to the other; the creation of the wall restricted access to only three checkpoints, and local travelers were rarely permitted to cross at all. Soldiers patrolled the East German side of the wall with orders to immediately shoot fugitives, and numerous other preventative measures were in place. The head of the East German Communist Party announced on November 9, 1989, that the borders would be opened, and East and West Germany were reunited on October 3 of the following year. Images of G...

Most of the characters in Of Mice and Men are migrant workers. This means they travel, wandering from job to job on different farms or ranches. Their pay is low, they have no job security, and they can't put down roots in any one community. As we see on the ranch, the men share a bunkhouse, so they have no privacy and are forced to put up with people they may not like. Further, they have no paid holidays or vacations, so they can't take a day off. The work is not very satisfying, and they can never get ahead, so most of the men blow their money on prostitutes and drinking. The American Dream for George and Lennie is the dream of saving and pooling their money to buy a small farm and living on the "fat of the land." It is appealing and offers hope to the ranch hands because it represents putting down roots, being your own boss, having a private space where you can keep out people you don't like, and being able to take a day off if you wish. It is a dream of freedom...

There are a few proverbs quoted in the novel but only one that lends encouragement to Adam.  This proverb is "Whom God will help, no man can harm." The wise saying is located in the chapter called "News of Roger." In this chapter, Adam is looking for his father, Roger. Cold and hungry, he is discouraged that he has yet to find Roger and Nick, his dog. To buoy his spirits, Adam begins relating to himself the story of Havelok, the prince of Denmark. In the story, Havelok and his sisters have been imprisoned in a tower by Earl Godard. The evil earl plans to appropriate the children's lands for his own. Bereft of their father, the king of Denmark, the children are powerless to protect themselves. Meanwhile, Godard hires Grim, a fisherman, to drown Havelok. However, Grim gets a surprise when he attempts to do so. The sack that encases Havelok's body begins to glow prior to Grim finishing up his terrible task. The eerie light convinces Grim that Havelok is the tru...

First, if William Walker and other filibusterers had been successful, it is very likely they would have received the support of the federal government (indeed, Franklin Pierce recognized his conquest of Nicaragua as legitimate). Because Walker intended his conquests to be slave societies, this would have occasioned even more debate about the spread of slavery than was already taking place. Some people at the time believed that people in the Upper and Middle South would sell their slaves into the region, thus "draining" the upper regions of the South of slaves. It could also be claimed that having territories in Central America might have dampened Southern commitment to securing protection for the institution in the North American West. It is difficult to know if this would have happened. What we can say for certain is that the support of many Democrats for these operations demonstrates the commitment to many in the South to expanding (not just preserving) slavery. So I would ...

Write an equation of the line "through $(-3,6)$ with slope $\displaystyle \frac{2}{3}$". (a) In slope-intercept form Using Point Slope Form $ \begin{equation} \begin{aligned} y - y_1 =& m(x - x_1) && \text{Point Slope Form} \\ \\ y - 6 =& \frac{2}{3} [x - (-3)] && \text{Substitute } x = -3, y = 6 \text{ and } m = \frac{2}{3} \\ \\ y - 6 =& \frac{2}{3}x + 2 && \text{Distributive Property} \\ \\ y =& \frac{2}{3}x + 2 + 6 && \text{Add each side by $6$} \\ \\ y =& \frac{2}{3}x + 8 && \text{Slope Intercept Form} \end{aligned} \end{equation} $ (b) In standard form $ \begin{equation} \begin{aligned} y =& \frac{2}{3}x + 8 && \text{Slope Intercept Form} \\ \\ - \frac{2}{3}x + y =& 8 && \text{Standard Form} \\ \\ \text{or} & && \\ \\ -2x+ 3y =& 24 && \end{aligned} \end{equation} $

Use a determinant to find the area of the triangle with vertices $(-2,5), (7,2), (3, -4)$ and sketch the triangle. $ \begin{equation} \begin{aligned} \text{area } = \pm \frac{1}{2} \left| \begin{array}{ccc} -2 & 5 & 1 \\ 7 & 2 & 1 \\ 3 & -4 & 1 \end{array} \right| =& \pm \frac{1}{2} \left[ -2 \left| \begin{array}{cc} 2 & 1 \\ -4 & 1 \end{array} \right| - 5 \left| \begin{array}{cc} 7 & 1 \\ 3 & 1 \end{array} \right| + 1 \left| \begin{array}{cc} 7 & 2 \\ 3 & -4 \end{array} \right| \right] \\ \\ =& \pm \frac{1}{2} \left[ -2 (2 \cdot 1 - 1 \cdot (-4)) - 5 (7 \cdot 3 - 1 \cdot 3) + (7 \cdot (-4) - 2 \cdot 3) \right] \\ \\ =& \frac{-1}{2} (-66) \quad \text{to make the area positive, we use negative sign in the formula} \\ \\ =& 33 \text{ square units} \end{aligned} \end{equation} $

The pros of mass marketing, especially for companies which are franchises or sell non-speciality types of products, are as follows: there is more room to reach a wide variety of customers and build different customer bases that can be depended on for sales; brand recognition and chance of widespread brand loyalty are more possible; and there is less room for specific variables, such as age range or season, to affect sales in the same way that these variables might affect the sales of companies that use targeted marketing. The cons of mass marketing are rooted in being less able to pinpoint issues with marketing strategies, as mass marketing is so broad that diagnosing marketing strategy failures can be difficult. Customers are also much less likely to feel specially catered to, which can lead to less brand loyalty. Mass-marketing is when a firm randomly advertises its products to a large market. The firm uses tv, internet, billboards, and any other form of public media to spread their ...

In this classic essay, Didion describes moving to New York City from her native Sacramento at the age of twenty-one, and, as she freely admits, a somewhat naive twenty-one, her mind, "programmed by all the movies I had ever seen and all the songs I had ever heard about New York," with the typical feeling, at that age, that, "nothing like this...has ever happened to anyone before." Intending to stay for only six months, she falls in love with the city. As she says, "I do not mean 'love' in any colloquial way, I mean that I was in love with the city the way you love the first person who ever touches you and never love anyone quite that way again." This initial love led her to prolong her residency, since, "I still believed in possibilities then, still had the sense, so peculiar to New York, that something extraordinary would happen any minute, any day, any month." But as the next years roll past, and the "new faces" she encounters...

The citation for Jack London's story "To Build a Fire" in MLA (Modern Language Association) style (8th edition) depends upon how you accessed the work. If you accessed it through an anthology or a textbook that contains multiple stories, you would cite the anthology or textbook as the "container" of the work. However, if you accessed the work online, then you would cite the website as the "container" and give the URL and date accessed. One anthology that contains London's story is the Norton Anthology of American Literature. The Works Cited citation for the story found in that book is as follows: London, Jack. "To Build a Fire." Norton Anthology of American Literature, edited by Nina Baym, 8th ed., vol. E, W. W. Norton, 2012, pp. 1047 - 1058. The in-text parenthetical citation would be: (London 1047) or whatever specific page you are quoting or paraphrasing from. You can access the story online in many places since its copyright protectio...

After Roger tells Mrs. Jones that he tried to steal her purse to get money to buy blue suede shoes, Mrs. Jones begins to talk to Roger about her past; Roger is so surprised by her honesty that he cannot come up with words: “'Well, you didn’t have to snatch my pocketbook to get some suede shoes,' said Mrs. Luella Bates Washington Jones. 'You could of asked me' 'M’am?' The water dripping from his face, the boy looked at her.There was a long pause. A very long pause. After he had dried his face and not knowing what else to do dried it again, the boy turned around, wondering what next. The door was open. He could make a dash for it down the hall. He could run, run, run, run, run! The woman was sitting on the day-bed. After a while she said, 'I were young once and I wanted things I could not get.' There was another long pause. The boy’s mouth opened. Then he frowned, but not knowing he frowned" This conversation likely feels awkward and uncomfortable to ...

milk and honey is the debut poetry collection by Canadian poet Rupi Kaur. Most of the poems are short, and many of them are accompanied by one of Kaur’s ink drawings. Kaur doesn’t use capitalization in her poems, and she uses punctuation sparingly, usually relying on line breaks rather than commas or periods to indicate a pause. The book is divided into four sections or chapters: “The Hurting,” “The Loving,” “The Breaking,” and “The Healing,” each narrated by a female speaker who is healing from a history of sexual abuse as well as from her first major heartbreak. The first section, “The Hurting,” focuses on the abuse the speaker experienced during her childhood. “The Loving” recounts her first significant romantic relationship as an adult. “The Breaking” describes the aftermath of that relationship and is the longest section in the book. In “The Healing,” the speaker is able to heal and find empowerment through her personal journey, her writing, and her community. Kaur plays with stru...

In this poem, the narrator does not want to once again mend the stone wall between his property and his neighbor's, a ritual the two men engage in every spring. The narrator knows the wall is unnecessary: he grow apple trees, and the neighbor grows pine trees, neither of which will invade the other's property. Therefore, the narrator recognizes that it's the part of human nature that likes routine, that enjoys the repetition of a "game," that wants to repair the wall: Oh, just another kind of out-door game, One on a side. It comes to little more . . . Yet the narrator continues to question the human need to builds walls, saying: Before I built a wall I'd ask to know What I was walling in or walling out, And to whom I was like to give offence. The narrator finally locates the need to build walls in the part of human nature that clings to tradition, whether or not the tradition makes sense. The other farmer insists on mending the wall because his father told ...

The foundation of an economy, particularly in the case of a traditional economy, falls into four categories. These four categories are called the primary groups or factors of production. Factors of production can be defined as the economic inputs that result in a profit being made. The first group is land, which includes natural resources from the earth that are used to create products or goods. The second group is labor. Labor is work done by employees or laborers and is key for turning resources into products. The third group is capital: money, buildings, machines, and other tools used primarily to make products. The final group is entrepreneurship. An entrepreneur is the person who pioneers a financial or business endeavor, taking on the greatest risk by doing so. Entrepreneurship is key for innovation, the creation of new products, and the creation of new jobs for laborers.

Find the expression a.) $\log_{10} \sqrt{10}$ and b.) $\log_8 320 - \log_8 5$ a.) $\log_{10} \sqrt{10}$ $ \begin{equation} \begin{aligned} & && \text{Log Laws} \\ \\ \log_{10} \sqrt{10} =& \frac{1}{2} \log_{10} 10 && \log_a^b = b \log a \\ \\ \log_{10} \sqrt{10} =& \frac{1}{2} (1) && \log_a a \\ \\ \log_{10} \sqrt{10} =& \frac{1}{2} && \end{aligned} \end{equation} $ b.) $\log_8 320 - \log_8 5$ $ \begin{equation} \begin{aligned} & && \text{Log Laws} \\ \\ \log_8 320 - \log_8 5 =& \log_8 \left( \frac{320}{5} \right) && \log \left( \frac{a}{b} \right) = \log a - \log b \\ \\ \log_8 320 - \log_8 5 =& \log_8 64 && \\ \\ \log_8 320 - \log_8 5 =& \log_8 (8)^2 && \log a^b - b \log a \\ \\ \log_8 320 - \log_8 5 =& 2 \log_8 8 && \log_a a = 1 \\ \\ \log_8 320 - \log_8 5 =& 2(1) && \\ \\ \log_8 320 - \log_8 5 =& 2 && \end{aligned} \end{equation} $

It is safe to say that greed existed and was prominent during the Gilded Age. The Gilded Age lasted from the 1870s to about 1900. It was a period of rapid economic growth. Much of the profit from this growth, which was fueled in part by the expansion of the railroads, found its way into the pockets of the very wealthy. Many lower-class people, especially immigrants, remained very poor and often lived in shocking conditions. The wealthy, in contrast, built huge homes, often modeled on European palaces, in places like Newport, Rhode Island. Greed is defined as the excessive desire for consumption (of clothing, food, etc.) and as the excessive desire for wealth and power. It should be noted that greed exists throughout history and among all classes. However, the Gilded Age was notable for the extreme ways many of the very wealthy clearly exhibited signs of greed. Industrialists such as J.P. Morgan went around like imperial dictators and very openly acquired as many status symbols as they ...

Before his leg breaks in chapter 4, Phineas talks as if he knows everything there is to know about the war. He does this because he is excited to enlist. After recovering from a broken leg at home for awhile, Phineas returns to Devon speaking as if the war doesn't exist. For example, Phineas tells Mr. Ludsbury in chapter 8 that he is training Gene for the 1944 Olympics. Finny's goal is crazy because, at this point in the story, World War II rages on without an end in sight. Mr. Ludsbury tells the boys that all exercises are aimed at training boys for war. Finny replies with a solid "No" because he supposedly believes there is no war and that the 1944 Olympics are a reality. Gene is dumbfounded, but permits himself to be drawn into Finny's charade by saying the following: This was my first but not my last lapse into Finny's vision of peace. For hours, and sometimes for days, I fell without realizing it into the private explanation of the world. Not that I ever ...

A 20-foot board is cut into two pieces. Twice the length of the shorter piece is 4 ft more than the length of the longer piece. Find the length of the shorter piece. If we let $x$ and $y$ be the length of the shorter piece and the longer piece respectively, then we get $ \begin{equation} \begin{aligned} x+y =& 20 \\ y =& 20-x \qquad \text{Equation 1} \end{aligned} \end{equation} $ And $2x = y+4 \qquad$ Equation 2 By substituting equation 1 to equation 2, we have $ \begin{equation} \begin{aligned} 2x =& (20-x) + 4 \\ 2x =& 20-x+4 \\ 2x+x =& 20+4 \\ 3x =& 24 \\ x =& 8 \end{aligned} \end{equation} $ Thus, the length of the shorter piece is 4 ft.

In short, poorly. The women in this book are routinely mistreated and abused. Esi is beaten up by Big Man and various other characters and is eventually sold into slavery where she is whipped and abused by her master routinely. Abena is blamed for poor harvest in the village, and she is eventually abandoned during her pregnancy by her fiance. Effia, the sister of Esi, is sold into slavery as a child. There are numerous accounts of abuse of women in this story. The point of all of this mistreatment is to show the true picture of how women were treated, historically and in societies like this one. While there were great things and wonderful tales that could and should be shared about these societies, it is imperative not to gloss over the suffering that many endured at the hands so so-called "great men". Homegoing features a wide variety of female characters. Both in West Africa and North America, their social statuses range from low to high. During much of the period covered, ...

Given the curve equations ,they are y_1 = 3(x^3 - x) -----(1) y_2 = 0 -----(2) to get the boundaries or the intersecting points of the functions we have to equate the functions . y_1=y_2 => 3(x^3 - x)= 0 => (x^3 - x)=0 => x(x^2-1)=0 => x=0 or x=+-1 so, so, the Area =int_-1^0 3(x^3)-x) -0 dx + int_0 ^1 0-(3x^3-x) dx = int_(-1) ^0 (3x^3-3x) -0 dx +int_(0) ^1 0-(3x^3-3x) dx = [(3x^4)/4 -3/2 x^2]_(-1) ^0 +[-(3x^4)/4 +3/2 x^2]_(0) ^1 =[0]-[3/4 - 3/2] +[-3/4+3/2]-[0] =-3/4 +3/2-3/4+3/2 = -3/2 +3 =3/2 = 1.5 is the area of the region between the curves

As people moved westward, there were economic effects on our country. As we expanded to the Mississippi River, our economy began to grow. Roads were built, river transportation improved, and railroads expanded. This allowed our businesses to grow and expand also. After we received land in the Louisiana Purchase that was west of the Mississippi River, we sent explorers to this region. Many Americans believed the Great Plains was not a great place to settle. The government was encouraging westward expansion for many reasons. One of these reasons was that it was good for our economy. To encourage movement to the West, the Homestead Act was passed. This law gave people 160 acres of land for free if they lived on it for five years. Most of the people who moved here were farmers. This also helped our economy grow. As people moved westward, they needed and demanded products. As transportation to the West improved, businesses began to expand to the West. Thus, the economic benefits of expansio...

     Dickens reveals the character of Scrooge with overwhelming contrast to the other characters in the opening scene. "Cold", is a fitting metaphor for Scrooge.  The setting is dark, dreary and foggy; placing our main character in a well-suited atmosphere.  As Scrooge's nephew enters, the warmth of his friendly and kind heart seems to light the room.  Scrooge instantly reacts to this cheery disposition as though the nephew hasn't reason for cheerfulness, he's poor and married. Here the nephew replies that wealth has not made Scrooge happy. It's obvious with the rejection of his nephew's Christmas dinner invitation, Scrooge is a loner.  Scrooge confirms his nephew is married and uses this excuse for declining. He hasn't had past relations and won't pursue future relations with his nephew. He has one employee, who he allows one piece of coal for warmth. The coal a metaphor to Scrooges heart - cold, black, and stingy with just a spark keeping it burn...

Lyddie has very little in the way of formal education. She had to leave school at an early age when her father left home. Her mother started to develop serious mental health problems, and so Lyddie was left with no choice but to take care of her siblings. Nevertheless, Lyddie is passionate about getting an education, and going to college is one of her most cherished ambitions in life. But first of all, she needs to learn how to read and write properly. Thankfully, her workmates Diana and Betsy are on hand to help out. They inspire Lyddie and give her a love of reading and books, especially Oliver Twist, which really captures her imagination. It also helps Lyddie develop her reading and writing skills to such an extent that she's able to start writing letters home to her family. Reading Oliver Twist opens up a whole new world for Lyddie, and encourages her to pursue her educational goals.

It is actually not known exactly who the Sea Peoples were. They are supposed to have been an alliance of seafaring raiders who invaded the Eastern Mediterranean and attacked Ancient Egypt around the end of the Bronze Age. The uncertainty about the origins of the Sea Peoples comes from the fact that little has been recorded about them. We know from Egyptian inscriptions that they were formidable warriors who came by sea. Beyond that, they remain an enigma. Circumstantial archaeological evidence links them to the Philistines, the Minoans, the Anatolians, or the Italians. It is possible that they were even a combination of these peoples. There are even theories that they were refugees fleeing Troy. Whoever they were, historians have yet to come to a consensus. That the Sea Peoples had a profound effect on the Eastern Mediterranean is certain. While Egypt was ultimately able to repel these sea-borne invasions, they did lose control over the Levant and Nubia in the process, significantly di...

In the short stories "The Yellow Wallpaper" and "The Cask of Amontillado," both authors, Charlotte Perkins Gilman and Edgar Allan Poe, respectively, create narrators the reader can empathize with. However, by the end of Poe's story, Montresor is clearly shown to be a villain, making him an unreliable narrator, whereas Jane is shown to be victimized throughout.In "The Yellow Wallpaper," the reader develops empathy for Jane, the narrator, the moment she says of her husband, "You see he does not believe I am sick!," early in the story. We continue to develop empathy for her the more we see her being oppressed by her husband, who claims he knows what's best for her. For example, he oppresses her when, though she wants to take a room downstairs in their rented country house, a room decorated with "roses all over the window" and "pretty old-fashioned chintz hangings," John refuses, saying there is not enough room for two bed...

One effect of the stage directions is that the reader has an opportunity to interpret characters' actions that are described but not addressed aloud, and these actions or descriptions of the tone in which certain lines are to be spoken sometimes tell us even more than the words themselves.  They allow us to understand more fully what characters are thinking and feeling in moments when they may not be saying everything aloud or telling the whole truth.  For example, in Act II, the opening stage direction tells us that John Proctor seasons the stew his wife has prepared while she is out of the room.  When she serves him, stage direction tells us that "She sits and watches him taste it."  This helps us to understand that his response to her cooking is important to her, so important that she watches for his reaction when he tries it.  She is anxious.  Further, he tells her that "It's well seasoned."  Now, we, the audience, know that he's not being entirely t...

Julie Otsuka uses the first person plural voice in narrating the events of chapter 4 of When the Emperor was Divine. Doing so allows her to tell the stories of so many Japanese-Americans, to convey more effectively the full range of experiences during the period of internment. Because this chapter is told from the perspective of more than one person, Otsuka is able to tell a much bigger story about the family's experience of returning home to California, to a life of poverty, racism, and chronic uncertainty. The use of the first person plural in chapter 4 needs to be placed in the context of the overall structure of the book. Prior to this chapter the story has moved from the mother's perspective to the daughter's, as the action shifts to the internment camp in Utah, then to the son's for the remainder of the family's internment. As we engage with the collective consciousness of the children, it is as if we're being taken deeper into the family's confidence,...

For Augustine, "inordinate desire" is desire that has become too powerful. It is important to note that Augustine does not think desire is inherently bad. It is only a problem when that desire grows so great that it leads us to do bad things. In On Free Choice of the Will, Augustine is basically trying to pin down what is at the root of evil. In an exchange with an interlocutor (Evodius), Augustine sets out a number of ideas about the nature and causes of evil. It is a pressing question for Christian theologians like Augustine, because Christianity seems to present a contradiction: the world was created by an all-powerful and omnipotent deity who seems to abhor evil, and yet evil is manifest and observable in world. Augustine is trying to reconcile this conflict by placing the blame not on God, but on humans, who use our free will to do evil in the world. This can be seen in Augustine's example near the beginning of On Free Choice of the Will. He points to the example of ...

Jem and Scout are Atticus's children.  The story is told from the point of view of Scout, who is the younger, more impulsive and less perceptive of the two children. A Child's Perspective For things pertaining mostly to the children, Scout is the best possible source of information.  For example, what is it like to be a kindergartner in Maycomb? What is Atticus like as a father? What is Calpurnia like as a caregiver? What are haints?  For these things, Scout's perspective as a child is unique, refreshing, and often unintentionally funny. But the two main threads of the story are Boo Radley's relationship with the children, and the trial of Tom Robinson.   Boo Radley For the Boo Radley plotline, it makes perfect sense that we should know only as much as Scout knows at a given time.  Boo starts out as a creepy, legendary figure of rumor, he turns into a mystery, then he fades into the background as more urgent things take the stage, then finally he emerges as a surprise s...

In the American Revolution, as in any war time, men left their homes to fight leaving many households in the hands of their wives. Women took on the role of managing the home and making decisions regarding any family matters. Many women had to learn new skills as they were left to provide for their families and were often required to do the work usually delegated to men. Some women even participated in the politics of the time, either alongside their husbands or even independently as spies. After the war ended, the men returned home and the traditional patriarchal roles returned. Within Antebellum society, men were the masters of their homes. Women did not have any financial freedom and were considered dependents of their husband. Although women may have been given a taste of independence during war time that feeling was short lived. Antebellum society returned women to the same status as children and slaves. They were expected to follow their husband’s rule.

Before the play even begins, Hamlet (as he tells us) despises and suspects his uncle of nefarious deeds ("O, my prophetic soul!"). These suspicions are confirmed by the Ghost, but Hamlet, influenced by Horatio's cautions that the Ghost may actually be an evil spirit, decides that he must have more direct evidence. When the players arrive, he realizes that by using an existing script (The Murder of Gonzago) and then inserting other, more specific references into it ("You could, for a need, study a speech of some dozen or sixteen lines, which I would set down and insert in 't, could you not?"), he likely could "catch the conscience of the king." This, of course, works. Claudius recognizes the action of the play as being far too similar to what happened in real life, interrupts the performance, and abruptly leaves. Hamlet is now sure ("I'll take the ghost's word for a thousand pounds"), although he famously does not act upon his know...

To some extent, this answer will be based on personal reader opinion and interpretation of the poem. The "Mudville nine" refers to the 9 players that are on the baseball team from that town or city. They are mentioned in the very first line of the poem, and the initial impression isn't a glorious and positive impression. This is because the team is losing by 2 runs with only a single inning left to play. Lines 3 and 4 tell readers that Mudville is up to bat, and the first two batters are both thrown out at first. Things are not looking good, because the Mudville nine can't even secure one base runner. The fans support this notion. Stanza two says that a few "straggling" fans even got up to leave in "despair." The fact that the stragglers are now leaving means that a bunch of others must have left prior to this point. Fans leaving the game early isn't a good sign for your baseball team. Stanza 3 doesn't improve the reader's opinion of th...

Both of these famous poems by Robert Frost could be interpreted in many ways, but one common theme seems to be choices—especially how we feel about our choices after the fact. We're normally programmed to think that in any given situation, the options are good/bad or right/wrong (or sometimes wrong/even worse). Frost's poems portray something similar—people trying to catch that elusive correct answer to a question they're asking. In "The Road Not Taken," a man comes to a fork in the road and wonders which path he should take. He struggles for a moment, eventually deciding to take the one "less traveled by," although the poem also states that . . . the passing there Had worn them really about the same. The important thing to note, however, is that even as the man makes his decision (not to mention later in his life), he has still not let go of the choice. He wonders which road to take, he wonders whether he'll ever be back to try the other one, and e...