What is the new average in the following case?A set of n numbers has an average value of the…

# What is the new average in the following case?A set of n numbers has an average value of the…

• ELIZABETH BARRETT BROWNING

In Elizabeth Barret Browning’s “Beloved thou hast brought me many flowers,” which in your opinion…

Well, in this poem of love and adoration there are many different images that we are provided with, each memorable in its own way, as the speaker in the poem accepts the gift of carefully tended…

• MATH

What is the new average in the following case?A set of n numbers has an average value of the…

Let there be n terms in the set. The average value is 45; therefore the sum of the n terms is 45n. The addition of two terms a and b to the set, increases the total sum of the terms to 45n + a + b…

• MATH

If the sum of two numbers is a and the difference of the two numbers is b, what is the sum of…

Let the numbers be x and y. The sum of the two numbers is x + y = a. The difference of the two numbers is x – y = b So we have two equations x + y = a … (1) x – y = b … (2) Add the two…

What is the premium that a car insurance company should charge if they want to make a 10% profit…

Let us assume the company sells its policy to n customers. Now according to the estimates of the company (1/245)*n people get injured and each of them requires \$10,200. So the reimbursement that…

• EMMA

What is the main theme of Emma?

Of course, discussing the “main theme” of any novel is a task fraught with problems, as it is very difficult to decide on the “main theme” of any text, as it is a highly subjective question….

• MATH

What is the rate of increase in the radius of a soap bubble when air is blown into at 10 cm^3/…

A soap bubble is spherical in shape. The volume of a sphere of radius r is V = (4/3)*pi*r^3. We are given dV/ dt as 10. As V = (4/3)*pi*r^3, => dV/dt = (4/3)*pi*(3r^2)*(dr/dt) => dr / dt =…

• MATH

Show that 1^2 + 2^2 + 3^2 …n^2 = n(n+1)(2n+1)/6

We can prove this by induction. For n = 1, n (n+1) (2n+1)/6 = 1*2*3/6 = 1. Therefore the relation is true. Now, if we assume 1^2 + 2^2 + 3^2 …n^2 = n (n+1) (2n+1)/6 1^2 + 2^2 + 3^2 …n^2 + (n…

• MATH

Find the tangent and the normal to the curve y^2 – 6x^2 + 4y + 19 = 0 at the point (2, 1).

First we have to find dy/dx for the curve. dy/dx(y^2 – 6x^2 + 4y + 19) = 0 => 2y dy/dx – 12x + 4dy/dx = 0 => y dy/dx – 6x + 2dy/dx = 0 => dy/dx = 6x /(y+2) Now at the point (2, 1)…

• A TALE OF TWO CITIES

I want several quotations and events which refer to liberty, equality and fraternity and Dickens’…

It is interesting how Dickens expresses his disgust for both the luxury of the French aristocracy and how they treat the poor in France of the time, but also his distaste and repugnance for the…

• MATH

Find the second derivative of 2x^3 – 3y^2 = 7

We have the curve 2x^2 – 3y^2 = 7. Using implicit differentiation we get d/dx (2x^3) – d/dx (3y^2) = 0 => 6x^2 – 6yy’ = 0 => y’ = (x^2 / y) We use the quotient rule to find y’’…

• MATH

How can we show that the derivative of sin x is cos x?

The derivative of a function f(x) is given by lim d–> 0 [(f(x + d) – f(x))/d] For the function f(x) = sin x, f’(x) is given by lim d–> 0 [(sin(x + d) – sin(x))/d] We use the following…

• MATH

If 6 + i and a^2 – a + b*i are the roots of the same quadratic equation, what is the value of a…

If a quadratic equation ax^2 + bx + c = 0, has one complex root a + bi, the other root has to be equal to a – bi. Here one of the roots is 6 + i, so the other root is 6 – i. Now 6 – i = a^2 -…

• CIVILIZATION AND ITS DISCONTENTS

What are the main points in Freud’s Civilization and Its Discontents?

One of the fundamental ideas in Freud’s work is the social interpretation of Freud’s theory of the subconscious. Given the time of its writing, with the rise of Hitler in Europe, there is a…

• LITERATURE

What are the main ideas in Stuart Hall’s “Cultural Studies and its Theoritical Legacies”?

The paper, originally published in 1992, examines how cultural studies can continue to be a counter-hegemonic critical and political cultural practice in spite of its increasing…

• MYTHOLOGIES

What are the main points in Barthes’ Mythologies?

One of the most basic points made by Roland Barthes, strongly implied in the series of short essays in the first section of Mythologies, is that anything produced in our culture — including soap…

• OEDIPUS REX

The protagonist of Oedipus Rex seems to be heading towards peace rather than horror. Elaborate,…

I am afraid your original question didn’t make sense, so I had to edit it and try to guess at what you were originally meaning. I hope I got the sense of the question right. However, if this was…

• RELIGION

A man steals my wallet then asks Jesus for forgiveness.Imagine this…. I plan to buy my daughter…

If the guy kills your daughter outright and is put on trial in a criminal court, you don’t get to decide whether he gets the death penalty, do you? Sure, his crime is against you, but it’s also…

• MAJOR BARBARA

What is the theme of Major Barbara by George Bernard Shaw?

In any literary work you are going to encounter a number of possible themes, so I will just respond by talking about one. I have included the link below to the enotes section on the themes of this…

• THE GREAT GATSBY

Conformity and Rebellion in The Great GatsbyI am interested in gathering opinions on the themes…

As a satire of the nouveau riche of the Jazz Age, Fitzgerald’s novel’s setting for this new wealthy class mimics that of the established upper class: There is West Egg that comes after the…

• CREATIONISM

Why didn’t Noah take the dinosaurs onto the Ark?Why didn’t Noah take the dinosaurs onto the Ark?

Two arguments from my point of view: Dinosaurs were dead long before people ever existed. Noah’s flood never actually happened. I don’t think that the Bible is meant to be taken literally and so I…

• THE TAMING OF THE SHREW

Identify and explain an example of humorous misunderstanding or slapstick in Act 1 of Taming of…

Probably the most famous example of slapstick and humorous misunderstanding in one scene together is Act I, scene ii — the entrance of Petruchio and Grumio. Petruchio is the master and Grumio his…

• TEACHERS

Controversial LanguageHow do YOU address the use of the word(s) “gay”, “fag” or “that’s so gay”…

I do not address this as much as I would have to (I believe) if I taught in a more urban area. My school is rural and the students and administration are very conservative. This means that no one…

• 1984

According to chapter 9 of 1984, why is there no longer, in material sense, anything to fight…

Unlike previous wars which were fought over territory or resources or even political power, the current endless war has nothing to do with those things. According to the book, the main purpose of…

• COMPUTER/TECHNOLOGY

What’s a good name for a YouTube channel username?What’s a good name for a YouTube channel username?

In the end, this will be a decision of personal choice. I think that you might want to take into account a couple of things. The first would be what type of videos are going to be featured on the…

• HISTORY

To what extent was the development of the Cold War caused by misunderstanding between the USA and…

I think that both sides possessed a healthy mistrust of the other. It makes sense that one could argue that this clouded judgment and facilitated misunderstanding between both sides. If two…

• COMMON SENSE

What is Paine’s observation in this excerpt from Common Sense? “Perhaps the sentiments contained…

What he’s saying here is that people’s attitudes towards things change. They change their minds on what is right and wrong. Sometimes they hold on to ideas and values just because they are…

• ESSAY LAB

Paper: Organic or GM Food? The new war for foodHey guys, i have to write a paper for english and…

In terms of how to set up your paper and which points are important, you may want to try and find a frame that will help to give structure to your essay. Are you going to approach the question and…

• THE CRUCIBLE

main motivations of Susanna, Parris, Abby, Giles, Hale, Betty, Tituba, Francis & Goody Nurse,…

The main motivation of all of the girls (Susanna Walcott, Betty, and the others) involved, with the exception of Ruth Putnam and Mary Warren, is to keep Abigail happy so that she doesn’t tell…

• HAMLET

Hamlet I’m supposed to “Pick one of the two parts of the graveyard scene and explain what, and…

To me, this scene emphasizes how Hamlet is contemplative — a thinker. It also emphasizes the fact that he thinks fate is inescapable. We see this in his thinking about death and what it means for…

• SOCIAL SCIENCES

What does “Women’s Rights” mean to you?What does “Women’s Rights” mean to you?

Before I answer this question with my opinion, I encourage you to think about the answer for yourself. If this is a question your teacher posed, likely he or she is looking for a personal answer….

• HISTORY

How did the putting out system work?

The putting out system was a precursor to the factories of the Industrial Revolution. It was an intermediate step that came between the system in which everything was made at home and the system…

• OTHELLO

What is the structure of Othello?

There are many ways to describe the structure of Othello. The play is typical of Shakespeare is divided into five acts. Act One is the exposition; Act Three is the climax–or turning point of the…

• TESS OF THE D’URBERVILLES

How are Angel’s leaving Tess and Tess’s murder of Alec connected?Thomas Hardy’s Tess of the…

The question had to be edited as there is only one question allowed per posting. Do not forget, however, that you have access to the question group which has many, many answers. In Thomas Hardy’s…

• SCIENCE

How might an experiment be relevant in a regular day to day use?

Any time an individual has a problem they wish to solve, an experiment can be performed in order to test your hypothesis(possible solution) to this problem. This involves the scientific method of…

• GUIDE TO LITERARY TERMS

“The wind looked down upon the tiny craft, laughed, and then attacked.” Does this sentence…

The sentence that you quote is much more an example of personification, I believe, than an example of an implied metaphor. In the sentence quoted, the wind is being given human properties, which is…

• THE BET

Did anybody die and why?It says that he left five minutes early. but then it says that the one…

On the night before the lawyer was going to complete his fifteen years of confinement and win his bet, the banker decided that he was going to have to kill him because he had suffered financial…

• THE GREAT GATSBY

In The Great Gatsby, Nick lives in an eye-sore of a house in the less-fashionable West Egg…

At any point that there are specific answers for an assessment as direct as a take home quiz, I would strongly suggest reviewing whatever notes your instructor has given or whatever has been…

• THE GREAT GATSBY

Describe the coat from Gatsby’s acquaintance, Meyer Wolfsheim in The Great Gatsby.

Continuing his satire of the nouveau riche, Fitzgerald has the reader meets Meyer Wolfscheim in Chapter Four of The Great Gatsby, shortly after Gatsby avows to Nick Carraway that he has come from a…

• MODERNISM

What are the peculiarities in Modernist writing?

I would say that one of the strongest elements of Modernist writing is the lack of coherency in voice. Modernist thinkers were driven by the idea that the past is a collection or a jumbled…

• MATH

simplify (2i -3)(i+4) – (i-2)/i

Let the number be z = (2i -3)(i+4) – (i-2)/i First we will open the brackets: ==> z = (2i^2 + 8i – 3i – 12) – (i/i – 2/i) But, we know that i^2 = -1 ==> z = (2*-1) + 5i -12) – ( 1 – 2/i)…

• MATH

What are two consecutive numbers whose product is 552 ?

Let us assume that the first number is x. Then, the other number is x+1 because the numbers are consecutive. Given that the product of the numbers is 552. Then we will write: x * (x+1) = 552 Let…

• MATH

What is the area between x^2 and x+2 ?

Let us assume that the functions are: f(x) = x^2 g(x) = x+2 We need to find the area between both functions. First we need to determine the intersection points. ==> f(x) = g(x) ==> x^2 = x+2…

• MATH

if f(x) = 3x^2 -5 and g(x) = x^(3/2) find fog(1)

Given the functions: f(x) = 3x^2 – 5 g(x) = x^(3/2) We need to find fog(1). First, we need to determine fog(x). ==> fog(x) = f(g(x)) We will substitute with x= g(x) in f(x). ==> fog(x) =…

• MATH

Solve the inequality -4x+5 < 3x-4

Given the inequality -4x + 5 < 3x -4 We need to solve all x values. First we will combine like terms. ==> -4x -3x < -4 -5 ==> -7x < -9 Now we will divide by -7 and reverse the…

• MATH

Differentiate g(x) = (x^2 -3)*(lnx^4)

Given g(x) = (x^2 – 3)*ln(x^4) We need to find the first derivative. We notice that g(x) is a product of two functions. Then, we will assume that g(x) = u*v such that: u= x^2 – 3 ==> u’ =…

• MATH

Solve the system is 2x-3y = -12 x+y = 3

Given the system: 2x – 3y = -12…………(1) x + y = 3………………(2) We need to solve for x and y. We will use the elimination method to solve. First, we will multiply (2) by 3 and add to…

• MATH

What is the area of the circle whose circumference is 13?

Given that the circumference of a circle is 13. Then we will use the circumference formula to find the radius. ==> We know that: C = 2*r*pi where r is the radius. ==> 13 = 2*r*pi ==> r=…

• MATH

Find the extreme vaues for f(x) = 5x-5x^2

Given the function f(x) = 5x-5x^2 We need to find the extreme values of the function. First we will determine the first derivative. ==> f'(x) = 5 – 10x Now we will determine the critical values…

• POETRY AND CENSORSHIP

What are some famous poems that were published in 2000 or after?

I have included a link to the anthology, “The Best American Poetry.” There is such an anthology put out each year and this might be a very good guide as to poetry that is considered to be stellar…