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College Algebra, Exercise P, Exercise P.4, Section Exercise P.4, Problem 104

The equation $\displaystyle D = 703\frac{W}{H62}$ represents the body-mass index used by medical researchers to determine whether a person is overweight, underweight or of normal weight. Where $W$ is the weight in pounds, $H$ is the height measured in inches. A body-mass index is considered "normal" if it satisfies $19.5 \leq B \leq 24.9$, while a person with body-mass index $B \geq 30$ is considered obese. a.) Calculate the body-mass index for each person listed in the table, then determine whether he or she is of normal weight, underweight, overweight, or obese.. $ \begin{array}{|c|c|c|} \hline\\ \text{Person} & \text{Weight} & \text{Height}\\ \hline\\ \text{Carlo} & 295 \text{ lb} & 5 \text{ ft } 10 \text{ in}\\ \\ \text{Richard} & 105 \text{ lb} & 5 \text{ ft } 6 \text{ in}\\ \\ \text{Marlon} & 220 \text{ lb} & 6 \text{ ft } 4 \text{ in}\\ \\ \text{Angel} & 110 \text{ lb} & ...

Is The Travels of Sir John Mandeville science fiction? Why or why not?

The Travels of Sir John Mandeville is best classified in the medieval literature genre. It is probably best described as fiction, although it is written like a non-fiction travel journal or memoir. The work is old, and thus we don't know as much about the author as we know about modern authors. The book is written with accurate geographical descriptions and fantastic embellishments and creatures. Because the work was written in the fourteenth century, it does not make sense to categorize it in one of our modern genres, such as science fiction. The genre of science fiction as we know it today did not really exist at the time The Travels of Sir John Mandeville was written, and even if this book were written today, it would not belong in the science fiction genre. Science fiction is characterized broadly as fiction that incorporates scientific topics while writing with a rational approach. Although the genre of science fiction was not developed at the time of publication, The Travels ...

What concrete images in the sermon make hell vivid?

When Edwards talks about the idea that all men and women basically deserve to go to hell, that it is only by God's grace and mercy that he doesn't allow us to descend there, Edwards says that, "the devil is waiting for [men], hell is gaping for them, the flames gather and flash about them, and would fain lay hold on them and swallow them up." This description contains a great deal of visual imagery: it focuses on the sight of the flames and flashes. Imagery is the description of concrete, sensory information; it can be visual (sight), auditory (hearing), tactile (touch), olfactory (smell), or gustatory (taste). Further, Edwards describes the "glowing flames" of God's wrath and "hell's wide gaping mouth," where we have nothing to stand on or hold us up except God's pleasure. There is nothing between us "and hell but the air." Again, the visual imagery is quite strong here in the description of a giant, fiery mouth, and I think ...

How does the stucture of the poem emphasize its central ideas?

Tithonus, the speaker in this poem by Lord Tennyson, is addressing Aurora, the goddess who has both blessed and cursed him with immortality ("immortal age beside immortal youth"). The structure of the poem supports the fact that it is, effectively, a monologue spoken by Tithonus that receives no reply. Tennyson uses iambic pentameter, the meter most commonly used by Shakespeare, which creates a sense that we are listening to Tithonus as an actor on a stage declaiming a series of soliloquies. The verse is largely blank verse—that is, there is no regular rhyme scheme—which adds to the sense that it is a genuine reflection of speech rather than a poem crafted to reflect Tithonus's anguish. The steady, languid, repetitive rhythm of the poem reflects Tithonus's steady, repetitive, anguished onward plodding, the "wheel" of his existence ceaselessly turning. The stanzas are also of irregular length, with some being very short. This stanza, for example, stands isola...

1. What types of skills do managers need? 2. Does the importance of these skills change depending on managerial level?

There is a consensus among management experts that the types of skills managers need include critical thinking, financial and accounting fundamentals, communicating and responding, conflict resolution, coaching in job performance and motivation and corporate vision and values, strategic thinking and planning, group collaboration, and project management skills. Critical thinking skills allow for analysis of the established ways of doing things and of perceiving things. Critical thinkers ask "Why?" and "How?" things are, have come to be and should remain or be changed. They also ask "What?," for example, as in "What would a new hire for my position do to fix the problem(s) we're facing?" Critical thinkers seek the underlying factors and the most effective directions through critical analysis of available facts and through gaining perspective by seeing through others' points of view. Financial and accounting skills provide the means for cast...

Calculus of a Single Variable, Chapter 8, 8.7, Section 8.7, Problem 20

Given to solve, lim_(x->0) ((sin ax)/(sin bx)) as x->0 then the ((sin ax)/(sin bx)) =sin(0)/sin(0) =0/0 form so upon applying the L 'Hopital rule we get the solution as follows, as for the general equation it is as follows lim_(x->a) f(x)/g(x) is = 0/0 or (+-oo)/(+-oo) then by using the L'Hopital Rule we get the solution with the below form. lim_(x->a) (f'(x))/(g'(x)) so , now evaluating lim_(x->0) ((sin ax)/(sin bx)) =lim_(x->0) ((sin ax)')/((sin bx)') =lim_(x->0) ((cos ax)(a))/((cos bx)(b)) upon plugging the value of x= 0 we get =((cos a(0))(a))/((cos b(0))(b)) = (a/b) (cos 0/cos 0) = (a/b) (1/1) = (a/b)

In In the Country of Men by Hisham Matar, what are three adjectives to describe the main character, Suleiman?

The three adjectives that describe Suleiman at this time of his life are trapped, intelligently perceptive (with an adverb modifying the adjective) and confused. A successful narrative exposition establishes the most essential character traits of the protagonist. In In the Country of Men, what we learn about Suleiman reveals his most essential characteristics, which lead to relevant adjectives describing him as we find him during his story. Suleiman opens with his interaction with his mother; he moves to his inner interactions with himself, then shares his surprise as he inexplicably sees his father, "right there, close enough that ... [he] could touch him," in town at the square graced by the statue of Roman Emperor Septimius Severus. Intelligently perceptive, Suleiman feels trapped and confused by the complicated and overwhelming circumstances surrounding him in a veil of silence. 1. Trapped [adj]: Suleiman is surrounded by silent, deceit, and power struggles, and he is fee...

In Saki's "The Open Window," how does Vera's fabricated story influence Mr. Nuttel to believe her?

Vera's fabricated story convinces Mr. Nuttel that she is telling the truth for three main reasons. First, he doesn't personally or casually know the men involved in Vera's story, so there is no prior knowledge from which Mr. Nuttel can draw a conclusion that she is lying. In fact, Vera makes sure that he doesn't know the men before she tells the story by asking him, "Do you know many of the people round here?" Then she rephrases the question to make sure Mr. Nuttel doesn't know the family well by asking, "Then you know practically nothing about my aunt?" Once both questions are answered negatively, then Vera can tell her fictional tale without being discovered as a liar or a prankster. Next, Vera is a great actress and convinces him through her body language and facial expressions that she actually believes that the men approaching the house are supernatural. The following passage describes her well-played acting skills: "The child was stari...

How is Jack in William Golding's The Lord of the Flies presented as militaristic?

Jack, who has red hair that symbolizes his association with blood, constantly carries a knife around with him. He is responsible for hunting, and when he at first fails to kill a pig, "he snatched his knife out of the sheath and slammed it into a tree trunk" (page 31). As the novel goes on, Jack becomes increasingly more violent, and his knife is often withdrawn from his sheath. He relies on violence to increase his power. Jack resents Piggy's intelligence, and he wants to rid Piggy of his glasses, the symbol of Piggy's learning. For example, when the boys are lighting a fire in the hope of being rescued, Jack says, "His specs--use them as burning glasses!" (page 40). Jack prefers to use Piggy's glasses to make a fire than to allow Piggy, the resident intellectual, to see. Later, Jack, constantly seen with a spear in hand and often bloodied from hunting, gives up all attempts to be rescued. Instead, he uses his violence, symbolized by the spear, to take ...

What are you learning about the culture or time period in which the Custom of the Country is set? How would you read this novel differently if you were living during this time period?

Undine Spragg is a young woman living in old New York in a very wealthy society where women's rights are still null. As such, Undine and other females do not have the chance to lead fulfilling lives that they would be happy with. Their "happiness" would depend almost entirely on their marriage prospects, namely, their husbands and, more importantly, how much money they had.  Undine is well-aware of her social limitations, which is why she takes full advantage of her charms and uses marriage in her favor. She is not a charming person by any means, but her physical beauty, sophistication, and the speed with which she moves from social circle to social circle makes her quite appealing to an average man of that time and place. Moffat, for example, sees in Undine characteristics of wealth: flamboyance, extravagance, and snobbery.  Indeed, extravagance and snobbery are typical traits in a big part of Undine's society. This is because the mega-rich families of old New York, ...

How is the ferret in "Sredni Vashtar" linked to death?

In the short story "Sredni Vashtar" by H.H. Munro (Saki), the ferret is not only linked to death but also it is worshiped as a god by Conradin, the sickly ten-year-old boy, and is responsible for both of them being free at the end of the tale. It is clear from the onset of the story that the ferret is dangerous because Conradin is scared of the "sharp-fanged beast." However, through his imagination, the creature becomes a weapon against The Woman, Mrs. De Ropp, his domineering cousin and guardian. Conradin worships the ferret, Sredni Vastar, with celebratory festivals. When Mrs. De Ropp has a toothache, Conradin tries to convince himself it is because of the ferret. This incident foreshadows Mrs. De Ropp's death and the believed power of Sredni Vashtar, the god. The ferret is quite literally linked to death through Conradin's chant after Mrs. De Ropp enters the shed: "Sredni Vashtar went forth, His thoughts were red thoughts and his teeth were white. H...

Single Variable Calculus, Chapter 7, 7.2-1, Section 7.2-1, Problem 64

Determine the absolute maximum and absolute minimum values of $\displaystyle f(x) = x^2 e^{\frac{-x}{2}}$ on the interval $[-1,6]$ To determine the critical numbers, we set $f'(x) = 0$, so.. $ \begin{equation} \begin{aligned} \text{if } f(x) =& x^2 e^{\frac{-x}{2}} \text{ then by using Product Rule..} \\ \\ f'(x) =& \left[ x^2 e^{\frac{-x}{2}} \left( \frac{-1}{2} \right) + 2x e^{\frac{-x}{2}} \right] \\ \\ f'(x) =& xe^{\frac{-x}{2}} \left( 2 - \frac{x}{2} \right) \end{aligned} \end{equation} $ When $f'(x) = 0$, then.. $\displaystyle 0 = x e^{\frac{-x}{2}} \left( 2 - \frac{x}{2} \right)$ We have, $xe^{\frac{-x}{2}} = 0 $ and $ \displaystyle 2 - \frac{x}{2} = 0$ The real solution and the critical number is.. $ \begin{equation} \begin{aligned} 2 - \frac{x}{2} =& 0 \\ \\ \frac{x}{2} =& 2 \\ \\ x =& 4 \end{aligned} \end{equation} $ So we have either a maximum or a minimum at $x = 4$, if we evaluate $f(x)$ with $x = 4$, the intervals $x = \pm 1$ and $x...

What lesson is Wiesel teaching in Night?

I don't think Wiesel is trying to tell a single lesson through book. Furthermore, I think different readers are going to pull different main lessons from it depending on their perspectives. One lesson that I think is immediately understood by many readers is that the Holocaust was awful, and the prison camps were basically hell on Earth. Wiesel's account is unflinchingly graphic, and readers are meant to be disgusted with the treatment that these prisoners had to endure. Tied closely with those conditions is a lesson about the dehumanizing result of the camps. The guards didn't treat the prisoners like real people, and the prisoners themselves stopped seeing each other as fellow humans. In fact, the men and women even stopped seeing family members as people to love and care for. Readers see this when Eliezer feels that his father is a threat to his own survival. His father is now a burden instead of a blessing. The dehumanization of Eliezer and the others results in a compl...

How is this story framed? Why does the author chose to introduce the story in this way?

This story is framed as a medical case study demonstrating the progression of mental illness in an adult male. Essentially, Lu Xun began the story this way in order to mask its true message. By presenting the story in this way, Lu Xun escaped outright condemnation and possibly incarceration and death for making bold claims against the traditional powers of his time. Interestingly, Lu Xun briefly studied medicine in Japan, so framing the story as a case study would not have been considered unusual for him. The story itself, "The Diary of a Madman," is a critique of oppression in early twentieth-century China. Lu Xun, himself a leftist and Darwinian supporter, believed in the idea of revolution. He wanted to overthrow the hierarchical system of Confucian society, where the rich lived off the poor and wielded oppressive power. In his short story, Lu Xun presents the case of a madman's diary in thirteen entries. In many of the entries, the "madman" contends that peo...

Who are the transcendentalists?

The transcendentalists were a group of writers and philosophers in 19th century New England. They believed mainly in the power of the individual, the natural goodness of human nature, the corrupting nature of society and its institutions on the individual soul, and that knowledge comes from intuition and insight, rather than logic and experience. They generally opposed organized religion, industrialization, organized government, and organized social institutions, and instead favored self-reliance, natural living, and ways of living that resembled anarchist, socialist, and communist ideas. Various figures in the movement fought for causes like women's suffrage, better conditions for workers, and changes in religious and educational life in America, generally geared toward respecting the individual power of all men and women and the self reliance of each individual without too much societal influence. Common themes in their writing include nature and its beauty, power, self wisdom, a...

Who or What is responsible for killing Mrs Mallard? In 'The story of an hour'

While “responsibility” for Mrs. Mallard’s death is a stretch of the events of Kate Chopin’s "The Story of an Hour," it is definite that her death resulted from a complication of her heart condition. She died of a “joy that kills.” The irony of that statement, a “joy that kills,” is that just before Mr. Mallard walked in the front door, unscathed, Mrs. Mallard was the most joyful that she had ever been. However, when she witnessed him, she released a piercing scream that relates to the reader that Mrs. Mallard was horrified that her newfound freedom had been so easily ripped right from under her feet. Chopin writes "The Story of an Hour" via the unique perspective of the late 1800’s in America, wherein it was expected that women would be married before they reached a certain age. Our deceased Mrs. Mallard was described as “young,” meaning that although her marriage was a relatively new one, it was still one that had taken a very large toll on her health. An important...

How can the characters of Bluntschli and Sergius be compared?

In this 1894 play that skewers glorifying warfare and making heroes of soldiers, Captain Bluntschli is the practical realist who sets the action in motion by deserting from the army and hiding in Raina's bedroom after he climbs her balcony. He puts chocolates rather than bullets in his gun belt and attempts to disillusion Raina about the romance of the battlefield.   Major Sergius Saranoff, on the other hand, harbors deeply romantic and unrealistic ideas about war and love. He plays the part of the dashing and heroic officer, but in fact, he is incompetent on the battlefield. He wants to believe he is in love with Raina, but in fact he falls in love with her ambitious maid, Louka. He has to come to terms with the disjunct between his romantic ideals and the reality of who he is.   While Bluntschli and Saranoff in some ways represent polar opposites, the hard-headed realist versus the hypocritical romantic, both move toward the center, striking a balance between realism and idealism...

College Algebra, Chapter 2, 2.2, Section 2.2, Problem 26

Make a table of values and sketch the graph of the equation $x^2 + y^2 = 9$. Find the $x$ and $y$ intercepts. $ \begin{array}{|c|c|} \hline\\ \text{Let } x & y = \sqrt{9 - x^2} \\ \hline\\ -3 & 0 \\ \hline\\ -2 & \sqrt{5} \\ \hline\\ -1 & \sqrt{8} \\ \hline\\ 1 & \sqrt{8} \\ \hline\\ 2 & \sqrt{5} \\ \hline\\ 3 & 0\\ \hline \end{array} $ To solve for $x$ intercept, where $y = 0$ $ \begin{equation} \begin{aligned} x^2 + 0^2 =& 9 \\ \\ x^2 =& 9 \\ \\ x =& \pm \sqrt{9} = \pm 3 \end{aligned} \end{equation} $ Thus, the $x$ intercept is at $(3,0)$ and $(-3, 0)$ To solve for the $y$ intercept, we set $x = 0$ $ \begin{equation} \begin{aligned} 0 + y^2 =& 9 \\ \\ y =& \sqrt{9} = 3 \end{aligned} \end{equation} $ Thus, the $y$ intercept is at $(0, 3)$

What are some MAJOR differences between the narrative approach in "Young Goodman Brown" by Nathaniel Hawthorne and the approach found in "Miss Brill" by Katherine Mansfield? What do the main characters discover and learn about themselves?

Hawthorne's story begins with dialogue between Goodman Brown and his wife, Faith. Faith does not want him to go into the forest because she feels somewhat afraid, but Brown insists that he must. He also chides her for doubting him when they have only been married for three months. Brown's character begins to be revealed by this interaction: he is a man who leaves his apprehensive wife behind in order to do some "work" that he knows is shameful and immoral. From their interaction, we learn that he deceives his wife and then plans to "cling to her skirts and follow her to Heaven." His faith, then, is not terribly strong. The character of Mansfield's Miss Brill, on the other hand, begins to be revealed not by dialogue, but by the revelation of details concerning her feelings regarding her fox fur. She notes its damage and imagines that the fox feels sad, and she thinks of it as a "little rogue"—somehow playful, vivacious, and attractive despite it...

How has the Fourteenth Amendment affected civil liberties from the time of its passage at the end of the Civil War?

The Fourteenth Amendment was added to ensure that all citizens of the United States were entitled to "equal protection" under the law. It said that all naturalized or born citizens were given this right regardless of any other factors. Before the Civil War, the Supreme Court had held (in the infamous Dred Scott decision) that African Americans could not be citizens, and that they had no rights a white man had to recognize. This Amendment essentially nullified that decision. It also was intended to guarantee that the rights protected in the Bill of Rights were not just shielded from infringement from Congress, but the state legislatures as well. This had, however, been a relatively recent development. In the nineteenth century, courts regularly held that the Fourteenth Amendment did not do this, most famously in a series of Supreme Court cases that allowed Southern states to roll back laws intended to guarantee the rights of freedmen. In the twentieth century, the Supreme Cour...

Calculus of a Single Variable, Chapter 3, 3.2, Section 3.2, Problem 68

You need to evaluate the derivative of the function f(x) = 2x - 2 - cos x , such that: f'(x) = 2 + sin x You need to use Rolle's theorem, so you need to find the roots of the equation 2 + sin x = 0. sin x = -2 Notice that there is no value of x for sin x = -2 sin sin x in [-1,1], hence, the equation sin x + 2 = 0 has no solution. Since the equation f'(x) = 0 has no solution, there is no change of sign for the function f(x), over the interval (-oo,+oo), hence, the equation f(x) = 0 has no real solutions.

Discuss energy conservation. What is a radiation source? Describe the uses of radioactive sources within medicine. Discuss half-life.

(Generally, multipart questions are split into different questions and each is posted separately. I will answer some of the questions and provide hints for the rest). Energy Conservation: This term is most commonly used in reference to the saving of energy or energy sources. When we talk of carpooling or the use of public transport, we are talking about conserving the sources of energy (generally fossil fuels). Similarly, when we talk about using energy-efficient devices, we are referring to the conservation of electrical energy, which in turn will minimize the combustion of fossil fuel in the thermal power plants (this assumption is valid since most electrical energy is generated through the combustion of fossil fuels). Energy conservation is necessary for a number of reasons: 1) Fossil fuels, our most important source of energy, are limited in quantity and will likely run out soon. 2) Fossil fuel combustion generates greenhouse gases, which, in turn, are the reason for global warming...

How does the author use action, setting, and dialogue to convey the theme that things are not always as they appear to be in A Very Old Man with Enormous Wings?

The author uses elements of the literary genre magical realism to convey that things are not always what they appear to be. Using this approach, Garcia Marquez combines the mundane with the magical to create a world that is both real and unreal. The setting of the story contributes to the magical realism of the story. Even the opening line contains aspects of magical realism: On the third day of rain they had killed so many crabs inside the house that Pelayo had to cross his drenched courtyard and throw them into the sea, because the newborn child had a temperature all night and they thought it was due to the stench. Pelayo's house has strange qualities, as it is inundated with crabs. Pelayo and his wife, Elisenda, also bizarrely believe that their child has taken sick because of the smell of the crabs. While the story contains realistic elements, such as the house by the sea and the sick child, the author also interjects oddities and fantastic elements that upend this reality and ...

What type of conflict does Brother experience as he battles with himself between love and hate for Doodle, and between longing for a normal brother versus accepting Doodle's limitations?

In “The Scarlet Ibis” by James Hurst, Brother experiences internal conflict as he struggles with his relationship with Doodle. Internal conflict occurs in the psyche of a literary character. The resolution of the conflict creates suspense and purpose in the plot of the story. In comparison, external conflict pits a character against an outside force such as a natural disaster or another character. Brother struggles with disappointment when Doodle is unable to live up to Brother’s vision of the perfect companion. Doodle is born with developmental disabilities severe enough for the family to question whether he will live. Brother goes as far as to plan ways to cause Doodle’s death. His pride interferes when he realizes Doodle is not going to die, and he is able to respond to the family. To resolve the internal conflict, Brother pushes Doodle past his expected physical limits by teaching him to walk, row a boat, and swim. Unfortunately, the attempt to resolve Brother’s internal conflict u...

I need to create a listening chart covering several elements of music for the song "Sound of Music" by Rodgers and Hammerstein. How would I do this?

A listening chart is a regular chart that has been adapted to row and column labels specifying music selection types, titles, artists, and music elements. For "The Sound of Music," your chart will reflect a single selection and a number of music elements.A chart is defined as the presentation of information displayed in boxes arranged in vertical columns and horizontal rows. You can choose between putting the selections in the vertical column, with the elements in the horizontal row, or the reverse, the elements in the vertical column and the selections in the horizontal row. With a single selection, the song will title the entire chart and you can choose between labeling the elements horizontally (across the top) or vertically (down the side). For a single selection, listing elements vertically (down the left-hand column) might prove more functional. The difference between the two methods is a visual one, with both resulting in the meeting, inside the chart boxes, of your an...

What are examples of stereotypes in The Elegance of the Hedgehog?

There are certainly some clear stereotypes in the novel. You might be interested in the ones below. And since it has been written somewhere that concierges are old, ugly, and sour, so has it been branded in fiery letters on the pediment of that same imbecilic firmament that the aforementioned concierges have rather large dithering cats who sleep all day on cushions covered with crocheted cases.  In Chapter 2, Renee candidly discusses stereotypes. The above quote highlights the stereotypical description of a concierge. With sardonic humor, Renee spends the rest of the chapter reiterating why she fits the stereotype perfectly. She tells us that she is "short, ugly, and plump" and that she has bunions on her feet and terrible breath. Because of her detached attitude, she has few friends. She admits that she is merely "polite" but "rarely friendly." Here's another example of a stereotype Renee discusses in this chapter: Similarly, it has been decreed that ...

In terms of economic policy in the United States, describe the difference between fiscal policy and monetary policy.

There is a difference between fiscal policy and monetary policy as it relates to economic policy in the United States. The monetary policy deals with the amount of money in the economy and the rate of interest that is charged on a loan. In the United States, the Federal Reserve Board makes decisions that impact interest rates and the amount of money in the economy. If the economy is sluggish, the Federal Reserve Board may lower interest rates to encourage people to borrow money to buy products and to invest in new businesses. When more people take out loans, it increases the amount of money in the economy and should help people have access to more money, which should increase demand for products. The reverse would be true if the economy was too strong, as the Federal Reserve Board would increase interest rates, which would decrease the money supply and slow the economy and the demand for products. Fiscal policy is something that the government determines and includes decisions on gover...

In The Time of the Butterflies, how was the name of the underground resistance movement founded? What distinctly was each of the four Mirabel sisters' role in contributing to the revolution in part 2 of the novel?

Looking more broadly at the novel, outside of the section you indicated, the girls first come to agitate against the system through their association with Lio, the revolutionary. Maria Teresa at first thinks that her sister, Minerva, is in love with Lio. As the younger sister, she often is left out of happenings among her older siblings. It is not until she is at university, following Minerva in pursuit of a law degree, that Minerva explains what is happening: through Lio, she and her husband, Manolo, have become part of an underground movement that is mounting a resistance to the government. In Maria's diary, she explains how she has become part of a cell with her college roommate, her only role now to wait for "Palomino," the code name of her designated agent. Soon enough, Maria and "Palomino" are married. Patria, who is older, comes to the revolution independently, through her church. The two groups merge in Patria's home, but it is Patria's padre who...

College Algebra, Chapter 2, 2.5, Section 2.5, Problem 42

According to the Kepler's Third Law, the square of the period $T$ of a planet is directly proportional to the cube of its average distance $d$ from the Sun. a.) Express Kepler's Third Law as an equation. $T^2 = kd^3$ b.) Find the constant of proportionality by using the fact that for our planet, the period is about 365 days and the average distance is about 93 million miles. $ \begin{equation} \begin{aligned} \left( 365 \text{days} \right)^2 &= k \left( 93 \times 10^6 \text{mi} \right)^3\\ \\ k &= \frac{(365)^2}{\left( 93 \times 10^6 \right)^3 } \frac{\text{days}^2}{\text{mi}^3} \end{aligned} \end{equation} $ c.) The planet Neptune is about $2.79 \times 10^9$ miles from the Sun. Find the period of Neptune. $ \begin{equation} \begin{aligned} T^2 &= kd^3\\ \\ T^2 &= \frac{(365)^2}{\left( 93 \times 10^6 \right)^3 } \frac{\text{days}^2}{\text{mi}^3} \left( 2.79 \times 10^9 \right)^3 \text{mi...

What are the main arguments in Bacon's "Of Superstition?" Does he use a counterargument?

Bacon, in short, argues that superstition—by which, we should be clear, he means Catholicism—is a corrupting influence in society. He goes so far as to say that even atheism is better than superstition, because, in his words, it is "better to have no opinion of God at all, than such an opinion as is unworthy of him." Atheism at least leaves open the possibility that a man might embrace philosophy, laws, and other avenues for critical thought, whereas superstition blunts these things. He argues that superstition is a corrupting influence on the minds of men, leading them to shape their observations and theories about the workings of nature around already-held beliefs, rather than the other way around. In other words, Bacon sees superstition as antithetical to the process of inductive reasoning and critical thinking he so valued. Ultimately, superstition actually deformed the very religious belief it was supposed to buttress. So superstition, in Bacon's view, was destructiv...

What is the main theme of the novel Pamela?

Richardson's negative attitude toward aristocratic traditions of the seventeenth century and his democratic affinities find particular expression in the fact that he made the protagonist of his novel Pamela a simple handmaid. Richardson also entered into polemics with the picaresque and adventure novel, showing a radically different way of advancement for those belonging to the lower classes. It is a way of virtue rooted in humility, which becomes one of the central themes of the novel. The psychological aspect of the main conflict in the novel is closely linked to social and ethical factors. Pamela and the squire are in opposition to one another as representatives of dissimilar social classes and moral codes. Ultimately, "folksy" virtues triumph over aristocratic vice in the novel. While criticizing the nobles' immorality and praising the simple girl's integrity, Richardson, however, does not go so far as to infringe on the morals of his society. Pamela is a prim...

What role does ethics play in social science research? What are some examples of research that presented ethical dilemmas for the researcher?

In considering this question, it is important to first consider the types of research commonly used in social science research: qualitative and quantitative research. Qualitative research is exploratory. It investigates the reasons that things happen, the interactions between forces, the motivations between actors, and similar phenomena in order to develop hypotheses regarding the problems in society and possible solutions. Quantitative, on the other hand, relies on statistics and data to make determinations about these issues. As these research methods require different research processes, they evoke unique ethical issues: qualitative research deals with the ethical treatment of subjects while quantitative research raises issues of the ethical treatment of data. I have briefly outlined the issues and provided sources for further information below: In qualitative research, researchers have direct contact with human subjects and their stories. This raises issues of confidentiality as we...

What insight does Gratiano offer about how a person’s appearance can be misleading?

It's act 1, scene 1 of The Merchant of Venice, and Gratiano is doing his level best to cheer up his despondent pal, Antonio. He cheerfully offers to play the fool to help Antonio take his mind off his mounting business troubles. Antonio has told Gratiano that he feels like he's playing a part on the human stage, the part of a sad man. In response, Gratiano tells his friend that appearances can be deceptive. Although Antonio may look sad, that's not the man Gratiano knows and loves. Gratiano says he knows lots of men who go around with stern expressions on their faces, and people think them incredibly wise. But that's only because they never open their mouths. If they did, says Gratiano, then they'd probably make complete fools of themselves and everyone would be able to see what they're really like: There are a sort of men whose visages Do cream and mantle like a standing pond, And do a willful stillness entertain With purpose to be dressed in an opinion Of wisd...

How do you keep an audience involved in a performance? Answer using examples of specific acting techniques.

There is an assumption in theatre that the mere presence of actors, together with the attraction of story-telling and the psychological attraction of characters being imitated onstage, are enough to hold the witness’s attention (“witness” is the preferred term, rather than “spectator,” for a single member of an audience).  However, in the real world of the theatre arts, the actor uses several techniques to gain and hold the witness’s attention and interest, depending on the style of acting the cast and director employ.  For example, the Meisner technique of rehearsal and performance (named after the acting teacher Sanford Meisner) asks the actor to listen intently to the other actor’s on stage, in order to bring immediacy and believability to the conversation, thereby magnifying the effect of real-life activity. In another style, called histrionics, the actors intentionally exaggerate all their actions and dialogue with the end-result of magnifying the action, so that the witness is e...

Calculus: Early Transcendentals, Chapter 7, 7.3, Section 7.3, Problem 7

int_0^adx/(a^2+x^2)^(3/2) Let's first evaluate the indefinite integral by integral substitution, Let x=atan(u) dx=asec^2(u)du intdx/(a^2+x^2)^(3/2)=int(asec^2(u)du)/(a^2+a^2tan^2(u))^(3/2) =int(asec^2(u))/(a^2(1+tan^2(u)))^(3/2)du =int(asec^2(u))/((a^2)^(3/2)(1+tan^2(u))^(3/2))du Use the identity:1+tan^2(x)=sec^2(x) =int(asec^2(u))/((a^3)(sec^2(u))^(3/2))du =1/a^2int(sec^2(u))/(sec^3(u))du =1/a^2int1/sec(u)du =1/a^2intcos(u)du =1/a^2(sin(u)) We have used x=atan(u) tan(u)=x/a Now let's find sin(u) for triangle with angle theta, opposite side as x and adjacent side as a and hypotenuse as h, h^2=x^2+a^2 h=sqrt(x^2+a^2) So, sin(u)=x/sqrt(x^2+a^2) =1/a^2(x/sqrt(x^2+a^2)) Add a constant C to the solution. =1/a^2(x/sqrt(x^2+a^2))+C Now let's evaluate the definite integral, int_0^a(dx)/(a^2+x^2)^(3/2)=[1/a^2(x/sqrt(x^2+a^2))]_0^a =[1/a^2(a/sqrt(a^2+a^2))]-[1/a^2(0/sqrt(0^2+a^2))] =[1/(asqrt(2a^2))]-[0] =(1/(a^2sqrt(2))) =1/(sqrt(2)a^2)

What is an analysis of the third stanza of "The Good-Morrow"?

John Donne's "The Good-Morrow" is a classic love poem, likely written by the poet's wife, Ann Moore. The first two stanzas draw out the poet's love for this woman, proclaiming love itself as the all-important event in life. The third stanza continues on a similar path, beginning with an image of the two lovers looking at each other proclaiming, "My face in thine eye, thine in mine appears". This line refers to the two lovers gazing closely at each other, seeing themselves in their lover's eyes. It can be considered on a literal or metaphorical level; eyes do offer literal reflections, and one can see oneself in another's eyes, but the metaphorical interpretation suggests that John and his love only see each other because they're so deeply in love. "Where can we find two better hemispheres/without sharp north, without declining west?" Since a hemisphere is only half of a sphere (think of each hemisphere as being half of a globe), Don...

How does act 1, scene 1 of Julius Caesar show the fickle-mindedness of the crowd

In act 1, scene 1 of Julius Caesar, Flavius and Marullus walk through the streets and discover that many working-class men are not at their shops. They stop some of the men and inquire why they are not working today. A cobbler responds to Marullus that "indeed, sir, we / make holiday to see Caesar and to rejoice in his triumph" (1.1.33–35). Marullus responds: Wherefore rejoice? What conquest brings he home?What tributaries follow him to RomeTo grace in captive bonds his chariot wheels?You blocks, you stones, you worse than senselessthings!O you hard hearts, you cruel men of Rome,Knew you not Pompey? Many a time and oftHave you climbed up to walls and battlements,To towers and windows, yea, to chimney tops,Your infants in your arms, and there have satThe livelong day, with patient expectation,To see great Pompey pass the streets of Rome.And when you saw his chariot but appear,Have you not made an universal shout,That Tiber trembled underneath her banksTo hear the replication o...

What are conflicts in "Through the Tunnel" by Doris Lessing?

In this coming-of-age short story entitled "Through the Tunnel," there are internal and external conflicts in the main character, named Jerry, and there are internal conflicts in his mother. An English eleven-year-old and his mother are on holiday at what is probably Southern Rhodesia in South Africa, a British colony (now Zimbabwe) and a spot where the author, Doris Lessing, vacationed in her youth. A widow, Jerry's mother worries that she is too protective. So, when her son indicates that he wishes to explore the rocks at another location from their "usual beach," she ponders his request with some inner conflict: Of course, he's old enough to be safe without me. Have I been keeping him too close? He mustn't feel he ought to be with me. I must be careful. Jerry's mother allows him to go, but she worries as she walks to the usual beach alone. After some time, Jerry returns to the villa to wait for his mother. When she enters, a "pant[ing], defia...

What are the main ideas in "A Christmas Memory" by Truman Capote?

The main theme of the story is the friendship between Buddy and his older cousin, but the nature of this friendship is unconventional at best. Most people might think there is something wrong in their companionship. Clearly the older cousin is mentally impaired, possibly an alcoholic, and certainly unable to live independently. She is, as the narrator says at the beginning, "still a child." The other adults in the house are mentioned only obliquely, but they are the ones in charge, and to an extent the friendship happens in secret. It is certainly true that the truth of their affection for each other is something only they can appreciate. There are many ideas associated with their friendship: for example, there is the idea that "true" friendship is based on sharing a common view of the world, in this case, a child's view; there is the idea that true friendship somehow is always transgressive, as the episode with the whiskey bears out; there is the idea that even...

Why do elements combine?

Almost all the elements combine to form compounds, although the reactivity may vary from element to element. These combinations take place because almost all the elements are unstable. This instability is a function of the number of electrons in the outermost shell. If the outermost shell is not completely filled with electrons, the element has one of the three options: gaining electrons, losing electrons or sharing electrons. By gaining or losing electrons, ionic compounds are produced. Sharing of electrons results in the formation of covalent compounds. For example, a sodium atom (Chemical symbol: Na) has 1 electron in its outermost shell, whereas a chlorine atom (chemical symbol: Cl) has 7 electrons in its outermost shell. Both sodium and chlorine are unstable and combine through electron donation from the sodium atom to the chlorine atom, thus achieving a full filled outermost electron shell for both the atoms. Similarly, a water molecule is formed from hydrogen and oxygen atoms. O...

Outline the acquisition of data through the technology of satellite remote-sensing and provide one example of the application of remote-sensing technology in everyday life.

Remote-sensing is the practice of recording objects or environmental phenomena (sensing) from a far-away place (remote). So, satellite remote-sensing refers to the practice of using satellites or drones to collect information about objects or remote phenomena within the instantaneous-field-of-view (IFOV) of a sensor system. The sensor system, of course, is located on the satellite, space shuttle, rocket, or drone. Basically, the sensor on a satellite platform records the electromagnetic energy reflected by the object or target. There are two types of sensors. Passive sensors are used when naturally-occurring energy is available (for example, when the sun is shining during the day). Active sensors, on the other hand, can be used at any time of the day or night. These sensors work by emitting radiation towards the target in question. Reflected radiation from the target is then measured by the sensor. The sensors record radiation all across the electromagnetic spectrum; unlike the human e...

y = arctan(x/2) , (2, pi/4) Find an equation of the tangent line to the graph of the function at the given point

Equation of a tangent line to the graph of function f  at point (x_0,y_0) is given by y=y_0+f'(x_0)(x-x_0). The first step to finding equation of tangent line is to calculate the derivative of the given function. To calculate this derivative we will have to use the chain rule  (u(v))'=u'(v)cdot v'  y'=1/(1+(x/2)^2)cdot1/2 Now we calculate the value of the derivative at the given point. y'(2)=1/(2(1+(2/2)^2))=1/2(1+1)=1/4 We now have everything needed to write the equation of the tangent line. y=pi/4+1/4(x-2) y=x/4+(pi-2)/4 Graph of the function along with the tangent line can be seen in the image below.                                               https://en.wikipedia.org/wiki/Tangent

How is Macbeth presented as a character who believes in the power of the witches?

There are a couple of ways in which Macbeth is presented as believing in the power of the witches. Firstly, take a look at act 1, scene 3 when the witches deliver their prophecies to Macbeth and Banquo. What Macbeth says to the witches shows just how strongly he values their words and their understanding of the future: Stay, you imperfect speakers, tell me more . . . Speak, I charge you. Instead of dismissing what the witches say, as Banquo does, Macbeth encourages them to tell him more, suggesting that he trusts them. In addition, the fact that Macbeth writes to his wife to tell her of the prophecies also suggests that he believes in the witches' power. If he did not, why else would he mention their meeting to his wife? Secondly, once Macbeth is king and begins to experience problems with Macduff, he turns to the witches for help. The fact that he goes to them shows that he trusts them and believes in their power to know the future. In fact, based on what he says to Lady Macbeth, ...

What are four of Archimedes' discoveries? How and why did Archimedes create the Archimedian screw?

Archimedes and the Door of Science tells the story of one of the most famous mathematicians and inventors of all time. Archimedes was born in Ancient Greece but studied in Alexandria. The discoveries and inventions of Archimedes are many, and they forever changed the disciplines of mathematics, physics, engineering and astronomy. The Archimedes Principle Archimedes and the Door of Science presents the Archimedes Principle in a humorous light. Archimedes was asked to test King Hiero's crown to determine whether it was genuine. While bathing, he made an observation about objects in water that helped him devise a suitable test and ran out into the streets crying, "Eureka!" This principle holds that the upward buoyant force of an object submerged in liquid is equal to the weight of the liquid it displaces. This means that if the weight of the water is less than the object's weight, the object will sink. The Law of the Lever Archimedes discovered that magnitudes reach a st...

How does Shakespeare present the character of Lady Macbeth and establish the potential for future conflict in Act I, Scene 5 of Macbeth?

In Act I, Scene 5, Lady Macbeth receives a letter from her husband describing his encounter with the witches and their prophecy that he will become king of Scotland. She is presented as a devoted wife, willing to abandon whatever scruples she has to help her husband achieve what they view as his destiny. When she discovers King Duncan will be at their castle, she immediately resolves to "unsex" herself, becoming ruthless and cruel in order to push Macbeth, who she views as "too full of the milk of human kindness" to carry out the murder that will put him on the throne. She is also remarkably assertive. No sooner does she learn Duncan will be staying at Inverness that night then she begins to hatch a plan to kill him. She tells Macbeth what to do, advising him to greet Duncan with great hospitality so as not to reveal their plot: bear welcome in your eye,Your hand, your tongue; look like the innocent flower,But be the serpent under't. Beyond that, she tells Macbe...

Why does Helen's family let her get away with her impertinent manners?

Helen Keller's family lets her get away with her rude, impertinent manners because they simply don't know how to handle her or teach her. She is blind and deaf, and they have not had any training with how to deal with this. They are aware she is frustrated and that she is having increasingly frequent temper tantrums, but they just don't know what to do. They love her, and they don't want to become intolerant of her. However, the parents don't simply sit still and let this behavior go on endlessly. They do seek out help for their situation, and this is how they are able to be linked up with Anne Sullivan, who has the training, patience, and temperament to deal with a child like Helen.

Why is the Resurrection Stone important in Harry Potter and the Deathly Hallows? What are its qualities?

In Harry Potter and the Deathly Hallows, the Resurrection Stone is one of the three deathly hallows. It was given to Cadmus Peverell, allegedly by Death himself, though Albus Dumbledore believes the stone was created by Cadmus himself. Cadmus used the stone to bring back a woman he loved, but he felt he was still too separated from her and killed himself to be with her. The ring containing the stone is eventually passed down to Albus Dumbledore and then to Harry Potter, who uses the stone to see the shades of his parents.  The stone is important because its owner has the power to bring back shades of loved ones. Shades are figments of people that are more substantial than ghosts but less substantial than real people. If someone brings the Resurrection Stone together with the other hallows—the Cloak of Invisibility and the Elder Wand—the person who possesses all three hallows will become the Master of Death. 

In A Christmas Carol, how does Scrooge find out that happiness comes from caring about others and being cared for?

Primarily, Scrooge learns this lesson from his observation of the Cratchit family. When he is observing the family with the Ghost of Christmas Present, for example, Scrooge watches the family with interest. Although they have very little in material terms, their love and compassion for each other are very clear. Instead of focusing on what they don't have, the family enjoys each other's company and blesses everyone, even Scrooge himself. Scrooge is clearly very affected by the behavior of the family. He asks the ghost, for instance, what will happen to Tiny Tim and begs that Tim will be "spared" to spend another Christmas with his family. The example of the Cratchit family, therefore, provides strong evidence to Scrooge that Christmas is all about family love and affection. In addition, we see further evidence of this idea in the final stave of the story: Scrooge devotes the rest of his life to supporting the family and being a "father figure" to Tiny Tim.