# Let f(x)= 12-4x and g(x)= 1/x…….what is the domain of g(f (x))

**THE MASQUE OF THE RED DEATH**

**Skull-Faced Figure symbolism?What does this figure symbolize and why is he important to the story?**

The skull-faced figure, or “corpselike mask” as it is described in “The Masque of the Red Death,” is symbolic of the Grim-Reaper, or death. This symbolic figure is intrinsic to the lesson…

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**MATH**

**Let f(x)= 12-4x and g(x)= 1/x…….what is the domain of g(f (x))**

Given the functions: f(x) = 12 – 4x g(x) = 1/x We need to find the domain of g(f(x)). First we need to determine g(f(x)) g(f(x)) = g( 12 – 4x). Now we will substitute ( 12 – 4x ) in g(x). ==>…

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**MATH**

**find the inverse formula for the function f(x)= 3x-7**

Given the function f(x) = 3x – 7. We need to find the inverse function f^-1 (x). First we will rewrite. Let y = 3x – 7. The goal is to isolate x on one side. Now we will add 7 to both sides. ==>…

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**MATH**

**f(x)= X^2 + X, h(x)= X/1-X….Find h(f(x)) in terms of X.**

Given the functions f(x) and h(x) such that: f(x) = x^2 + x h(x) = x / (1-x). We need to find h(f(x)) To find h(f(x) we will substitute with f(x) in g(x). h(f(x)) = h ( x^2 + x) Now substitute with…

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**MATH**

**A class has 11 boys, 9 girls. Two students will be selected at random to serve on committee….**

Given that the number of boys and girls in a class is as follows: Number of boys = 11 Number of girls = 9 Then we conclude that the total number of students in the class= 20 students. Then, the…

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**MATH**

**AB = 4x – 15 and BC = 2x + 3. If AC = 48. Find the value of x. (AC = hypotenuse )**

Given the line segments AB, BC and AC such that: AB = 4x – 15 BC = 2x + 3 AC = 48. Also given that AC is a hypotenuse. Then BC and AB are the other sides of the right angle triangle. Then we know…

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**MATH**

**What happens to the mean of a set of numbers when a zero is added to the set?**

When adding a zero to the numbers, the mean will get smaller. Let us prove it by an example. For example: Let “2, 3, 5, 7, 9” be numbers that their mean is as follow. m = (2+ 3 + 5+ 7+ 9) / total…

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**HISTORY**

**Why did African slavery immediately become the dominant labor system in South Carolina, while it…**

Keep in mind this is a pretty specific question, and your instructor may be looking for a specific response from class notes or your textbook. In my opinion, there were two key reasons slavery so…

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**MATH**

**What is the parallel slope to 2x-3y=30?**

Given the equation 2x – 3y = 30. We need to find the parallel slope to the given line. First we need to rewrite the equation of the line into the slope format. y= mx + b ==> 2x – 3y = 30 ==>…

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**SCIENCE**

Cyclones are low-pressure area in the atmosphere in which winds spiral inward, having the following two characteristics. The atmospheric pressure is lowest at the centre The winds spiral in toward…

**MATH**

**Use the distance formula to find the distances between the given points:(5, 2) and (0,-4)**

Let the points be A( 5,2) and B( 0, -4) Then, we will use the distance formula to find the distance between A and B The formula for the distance between two points is given by the following…

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**HEART OF DARKNESS**

**Please compare rising action of plot of Heart of Darkness with Apocalypse Now, and find a minimum…**

In Joseph Conrad’s Heart of Darkness, the main character, Marlow, is an experienced sailor who is instructed by the company for which he works to travel up the Congo River, into the depths of…

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**MATH**

**Factor the expression 9X^2 + 24X + 16**

Let f(x) = 9x^2 + 24x + 16 We notice that the function is a complete square : Then the function has two similar factors which are the square roots of first and last terms: ==> f(x)= (3x+4)^2 Let…

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**TO KILL A MOCKINGBIRD**

**In “To Kill a Mockingbird,” what is the relationship between Ewell and Finch? Tim Johnson and the…**

Before the alleged rape, there was little to no relationship between these two families. They were not in the same social class and did not mingle except in school. Scout, at the ripe old age of…

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**MATH**

**What is the next number in this pattern:32, 48, 56, 60, 62, 63,…**

Let the missing number be x: 32, 48, 56, 60, 62, 63, x We will find the difference between terms in order to find a common ratio : ==> 48 – 32 = 16 ==> 56 – 48 = 8 ==> 60 – 56 = 4 ==>…

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**MATH**

**What is the surface area of cylinder with radius of 2 cm and height 8 cm?**

We know that the surface area of the cylinder is: Surface area = area of the bases + area of the sides The area of the bases = 2* area of the circle = 2* r^2 *pi The…

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**HEART OF DARKNESS**

**How is the setting different between Heart of Darkness and Apocalypse Now?**

The main difference is in the physical location and its meaning for the characters. Heart of Darkness is set in the Congo, during European Colonization, and concerns the monetary desires of the…

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**MATH**

**A right triangle has a hypotenuse of length 30 and a leg of length 10. To the nearest tenth, what…**

We have the right angle triangle with sides: The hypotenuse (h) = 30 One of the sides ( L) = 10 Find the other sides. Let the other side be B: Then we know that in a right angle triangle , the…

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**BABYLON REVISITED**

**Explain why F. Scott Fitzgerald titled “Babylon Revisited” as such. What significance does the…**

The title is based on an allusion to the ancient city of Babylon, which was a symbol of orgiastic decadence. Note how this fits into the plot of the short story – Charlie is returning to France for…

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**MATH**

**What is the distance between the points (0, 5) and (3, 9)?**

Let the points be A= ( 0,5) and B = (3,9) To find the distance between the points A and B, we will use the distance formula as follows: The distance Between A and B is given by: D ( AB) = sqrt[(…

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**MATH**

**If the sum of the first two of the five consecutive odd integers is 52, what is the sum of the…**

Let the five odd integers be: x , x+2 , x+4, x+6 , x+ 8 Then given the sum of the first two integers is 52 ==> x + (x+ 2) = 52 Let us combine like terms: x + x + 2 = 52 ==> 2x + 2 = 52 ==>…

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**MATH**

**If each side of a square is increased by x units then its perimeter is increased by how many units?**

Let the length of the square’s side be A. We know that the perimeter of the square equals the sum of all sides = 4* side. ==> Then, let the perimeter be P1. P1 = 4A………………..(1) Now…

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**MATH**

**Tell whether the measures can be the side lengths of a triangle. If so, classify the triangle as…**

We know that in a right angled triangle , the greatest side is hypotenuse. So if ABC is a right angled triangle with a right angle at B, then the greatest side is the hopetenuse AC . Therefore…

**MATH**

**A “wide-screen” TV has an aspect ratio of 16:9. Find the length of a diagonal on a wide-screen TV…**

Given the wide screen TV has the ration 16/9. Then the ration for the length to the width = 16/9. Let L be the length and W be the width. ==> L / w = 16/ 9. But given the width = 25.2. Then we…

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**HAMLET**

**In the last scene of Hamlet, how does Hamlet use “antic disposition” to create humour?**

Only one question per submission, please. It is important to note, before answering your question, that “antic disposition” is a term that Hamlet uses in Act I to describe the way he intends to…

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**HISTORY**

**In the year 1800, what shared beliefs and experiences between the Federalists and Republicans…**

In the year 1800, you might have thought the US would become divided between the Federalists and the Republicans. This was, after all, the time of the Alien and Sedition Act by which the…

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**TWELFTH NIGHT**

**For Shakespeare’s Twelfth Night, I need to write about how Maria makes a mockery of love.* I…**

You might want to look at Act I scene v, when Viola enters (as Cesario) into Olivia’s presence. Some of the mockery here is a bit inferred and indicated by action rather than text, but I believe…

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**PARADISE LOST**

**In lines 1-26 of Book I of John Milton’s Paradise Lost, how is the speaker ambitious and how is…**

The speaker of the first 26 lines of John Milton’s Paradise Lost is clearly meant to be identified with Milton himself. The speaker displays an intriguing combination of ambition and humility, as…

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**GREAT EXPECTATIONS**

**What are a few examples of Pip’s being lonely through his own fault in Great Expectations by…**

In this novel, Dickens explores the theme that money does not lead to happiness. Pip is born poor, but he does have a family. Although his sister is abusive, his uncle Joe is kind and caring….

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**THE MOST DANGEROUS GAME**

**In The Most Dangerous Game, how is the conflict man vs man sharply differentiated good and evil?**

By definition, man v. man involves two human beings as opposed to man v. himself or man v. nature. For example, a man’s struggle with his own feelings would constitue man v. himself, a man’s…

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**THE AWAKENING**

**In what ways did Robert influence Edna’s awakening?I would like to know the ways that affected…**

The most important thing that Robert did for Edna was teach her how to swim. While this might not seem like a big deal, the idea of swimming becomes symbolic as the novel progresses. As Edna’s…

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**SOCIAL SCIENCES**

Although we would think that the idea of community is a really obvious one, it is very slippery. If you look at the scn.org link, you will see someone going through thousands of words trying to…

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**HISTORY**

**How does one’s viewpoint, or social viewpoint, affect they way history and events and can be…**

A person’s (or a society’s) own particular viewpoint cannot help but affect the way that history and events are recorded. People tend to record history in ways that fit with what they want or need…

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**OF MICE AND MEN**

**Can anybody give me some examples of light and darkness in “Of Mice and Men” and it’s…**

John Steinbeck, in the novel Of Mice and Men, uses a theme of light and dark throughout the novel. Here are some examples from the text and an explanation of the use. The golden foothill slopes…

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**HISTORY**

**What seems to have been the justification for the extremes of violence condoned by the crusaders…**

I would say that religious fervor and a corresponding hatred of the Muslims who held Jerusalem is what led the Crusaders to justify the massacre of the people of Jerusalem when it was conquered in…

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**PHILOSOPHY**

**Can you restate this arugument by Ockham? Can you state in your own words? No universal is a…**

If humanness is a universal that applies to all humans, why can’t Socrates also be a universal that applies to all Socrates’? Even though we know of only one Socrates, who’s to say what is a…

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**BELOVED**

**What are the effects of slavery on the characters in Beloved?Slavery, image of beauty, Sixo’s…**

I’m not quite sure what you are asking about each of these items, but I will try to give you some help here. The novel is about the effects of slavery on a people. Most of the items you have…

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**HEART OF DARKNESS**

**Is the portrayal of white women different from that of African women in Heart of Darkness?**

There are three women in the story that we can compare in answer to your question. First, Marlow’s aunt who helps him get the job in the Congo. Second, we have Kurtz’s mistress in the “heart of…

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**ANIMAL FARM**

**In Animal Farm, how do the animals plan to prevent the second windmill from being destroyed?**

In spite of Napoleon attempting to blame the destruction of the first windmill, we are told that the humans believe it occurred because the animals did not build the walls thick enough. Thus,…

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**ROMEO AND JULIET**

**How does Juliet’s relationship with Friar Lawrence change?Romeo and Juliet by William Shakespeare**

Initially a friend to Romeo, Friar Lawrence does not meet Juliet in Shakespeare’s play, Romeo and Juliet, until Romeo brings her with him on the evening that they have met and vow their love in the…

2 educator answers

**PHILOSOPHY**

**I don’t really understand this statements. Can you state this with your own words to make easier…**

What William of Ockham is saying here is that only individuals exist. There is no concept that exists that is made up of more than one individual. Ockham, unlike Plato, for example, does not…

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**SOCIAL SCIENCES**

**Cost of illegal immigrants to taxpayersI am trying to develop a sound thesis concerning the…**

First of all, I urge you to be cautious about your claims. If I were an instructor reading your paper, my first thing would be to look for unsubstantiated claims. So make sure that you have…

6 educator answers

**PAUL’S CASE**

**What is the Author’s attitude toward the main character in the book Paul’s Case?**

Willa Cather elegantly and respectfully addresses the many flaws and differences of character of her main character, Paul. Cather sincerely points out that Paul is, indeed, not quite fit for his…

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**MACBETH**

**In Act 4 Scene 1 of Macbeth, what are some literary/poetic devices that are used, and why?They…**

In Act 4 Scene1 of Macbeth, Macbeth goes to see the witches to get another prediction of events to come. At the beginning of the scene, the witches are making a spell to help conjure the…

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**THE GIFT OF THE MAGI**

**What does “parsimony”, “imputation” and “predominating” mean in “The Gift of Magi”?**

These three pieces of vocabulary occur in the first two paragraphs of the story. First we are told that Della is only able to save the money she has to buy Jim a present through the “silent…

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**PHILOSOPHY**

**According to Ockham’s first theory, in what way do ‘universals’ exist?**

In each case, consider a universal to be abstract. This gets complicated because some nominalists (or conceptualists) might consider numbers to be real in the abstract but something like redness…

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**THE SAILOR WHO FELL FROM GRACE WITH THE SEA**

**What is the meaning of the title?***not 14 days**

First of all, please remember that this is not the original title of the book. The original title was (of course) in Japanese and contained an important pun that could not be translated….

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**LAW AND POLITICS**

**What is the religion of the clergy in the House of Lords today?**

The members of the House of Lords who hold office because they are clergy members are all members of the Church of England. Specifically, there are 26 members of the House of Lords who are known…

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**ROMEO AND JULIET**

**Describe Juliet’s relationship with the Nurse and explain how it changes and why.**

At the beginning of the play up until Romeo is banished, Juliet and the Nurse have a very close relationship, much like a daughter and a mother. Juliet is more willing to share her thoughts with…

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**THE ADVENTURES OF HUCKLEBERRY FINN**

**What do we learn about Jim in Chapters 40 to 43?***not 14 days**

The most important thing that we learn about Jim in these chapters is that he is extremely unselfish. We find that he truly loves Huck and Tom and that he is willing to put his own desires aside…