• THE ADVENTURES OF TOM SAWYER

What does “versmilitude” mean and how does it apply to The Adventures of Tom Sawyer?

Verisimilitude refers to the attempt to make something fictional look as if it were real, or non fictional. In the case of Tom Sawyer and Huckleberry Finn, Mark Twain attempts at creating a…

1 educator answer

• MATH

If a^2 – b^2 = 8 and a*b = 2, find a^4 + b^4.

Given that: a^2 – b^2 = 8 …………(1) ab = 2………………(2) We need to determine a^4 + b^4 Let us square equation (1). ==> (a^2 – b^2)^2 = 8^2 ==> a^4 – 2a^2 b^2 + b^4 = 64 ==>…

2 educator answers

• MATH

Find all zeros of the polynomial P(x) = x^3 – 3x^2 – 10x + 24 knowing that x = 2 is a zero of the…

Given the polynomial P(x) = x^3 – 3x^2 – 10x + 24 We are given that x=2 is one of the root. Then we know that (x-2) is one of the factors of P(x). ==> P(x) = (x-2) * Q(x) Now we will divide P(x)…

2 educator answers

• MATH

What is the value of the number i^231 ? Is it real or complex number?

Given the number i^231 Let us simplify and determine the values. First we will rewrite the power. ==> i^(231) = i^(3+228) Now we will use exponent properties to simplify. We know that x^(a+b) =…

2 educator answers

• MATH

Find the constant k so that the quadratic equation 2x^2 + 5x – k = 0 has two real solutions

Given the quadratic equation f(x) = 2x^2 + 5x -k We need to find the value of k such that f(x) has two real solutions. We will use delta to determine the values of k. We know that the function has…

2 educator answers

• TENNESSEE WILLIAMS

What is a once sentence theme for the essay “The Catastrophe of Success”?

Well, first we define the main idea of “The Catastrophe of Success.” Maybe in the process, a one-sentence theme will present itself. Williams seems to indicate that success will definitely…

1 educator answer

• SCIENCE

Dusty Earththe fact that the Earth is more dusty now that in the past, influences the climate?

Dust can influence the climate. If there is enough dust in the air (either in a specific area or across the whole world) more sunlight is blocked and the temperature will tend to drop. Dust can…

2 educator answers

• MATH

Find the point(s) of intersection of the parabola with equation y = x^2 – 5x + 4 and the line…

Given the parabola y= x^2 – 5x + 4 and the line y= 2x-2 We need to find the intersection points of the parabola and the line. The intersection points are the values of x and y such that: the…

2 educator answers

• MATH

conditional evaluationa=(3-square root 2)^0.5 b=(3+square root 2)^0.5 b(1/a- b)=…?

a = ( 3- sqrt2)^1/2 b = ( 3+ sqrt2)^1/2 We need to find the values of b(1/a – b) First we will rewrite: b*(1/a – b) = b/a – b^2 Now we will calculate each terms. ==> b/a = (3+sqrt2)^1/2 /…

1 educator answer

• MATH

Find the length and width of a rectangle whose perimeter is equal to 160 cm and its length is…

Let the width of the perimeter be “w” and the length be “L” Given that the perimeter is 160 cm But the perimeter is given by : P = 2L + 2W = 160 We will divide by 2. ==> L + w = 80…

2 educator answers

• MATH

If (x^2 – y^2) = 10 and (x + y) = 2, find x and y.

Given that: x^2 – y^2 = 10…………..(1) x+y = 2…………..(2) We need to find the values of x and y. First , we will rewrite equation (1) We know that (x^2 – y^2) = (x-y)(x+y) ==>…

2 educator answers

• MATH

stucki’m stuck in evaluation of the expression 1/xy(x+y+z)+1/yz(x+y+z)+1/zx(x+y+z)

1/xy(x+y+z)+1/yz(x+y+z)+1/xz(x+y+z) The least common denominator is xyz(x+y+z) Since this is not a full equation- it does not have “=” sign-, we cannot multiply least common denominator. But, we…

1 educator answer

• MATH

For what value of k is the point (-2, k) on the line with equation -3x + 3y = 4?

Given the point (-2, k) and the line -3x+3y=4 Use the point (-2, k) and let x=-2 and y=k, and plug into the line -3x+3y=4. -3(-2) + 3(k) = 4 Solve for k. 6 + 3k =4 3k=4-6 3k=-2 k=-2/3

1 educator answer

• SCIENCE

non contact forcesexplain non contact forces

In most cases, when one thing applies force to another, they are in contact. My fingers contact the keyboard as I apply force to it. But in some cases, there are forces that act without actually…

2 educator answers

• MATH

Evaluate: (1 – 1/10)(1 – 1/11)(1 – 1/12)…(1 – 1/99)(1 – 1/100)

Let us assume that the number is E. ==> E = (1-1/10) ( 1-1/11) ( 1- 1/12) …. (1-1/99)( 1- 1/100) Let us rewrite the terms by using the common denominator. ==> 1- 1/10 = 10/10 – 1/10 = 9/10…

2 educator answers

• MATH

logarithm sum-product propertydiscuss it on example

The property is: log (a) + log (b) = log (ab) The bases of the logarithm must be equal. Let us solve an example. Given the logarithm equation: log (x-2) + log x = log 4 We need to solve for x. We…

1 educator answer

• LINGUISTICS

Are there many types of English or just one type of English?

There are many types of English, in the form of English dialects. First of all, there is American English and British English. In addition, even in each of these there are cultural differences in…

3 educator answers

• SCIENCE

point on an entityhow can i guess that a point is on a geometric object?

It is not about guessing, but exact data. For instance, if you want to verify if a point is located on a given curve, you just have to substitute the coordinates of the point into the equation that…

• ENOTES EDUCATORS GROUP

Important Info for Math EditorsHello math editors! Please be sure that the last line in your…

I might add that simplicity in writing the final solution is better than flowery writing of the final solution. For example, = sign is better than is; and a short statement of the final solution is…

1 educator answer

• MATH

For what value of x will the function f(x) = -3(x – 10)(x – 4) have a maxim

Given the function f(x) = -3(x-10)(x-4) We need to find the maximum value. First we will open the brackets and expand the function. ==> f(x) = -3(x^2 -14x + 40) = -3x^2 + 42x -…

2 educator answers

• MATH

The area of a rectangular field is equal to 300 square meters. Its perimeter is equal to 70…

Let us assume that the width of the field is “W” and the length of the field is “L” We are given that the area of the rectangular field is 300 m^2 But we know that the area = L*W ==> L*W = 300…

2 educator answers

• MATH

difference between solving equation and inequalitydifference between solving equation and inequality

I will explain in an example: We have the equation: 2x + 5 = 9 We will solve the equation by isolating x on the left side. We will subtract 5 from both sides. ==> 2x = 4 ==> x = 2 Then there…

1 educator answer

• SCIENCE

Do potassium Nitrate react with bromide ?if yes what is the product?

If you mean an aqueous solution of potassium nitrate and an aqueous solution a metal bromide salt there will be no reaction since potassium bromide is soluble and all nitrates are soluble in water….

1 educator answer

• SCIENCE

domain of functionwhy is so important to determine the domain of the function?

For instance, the domain of a function tells indicates the values of the argument that makes the function to exist. For instance, if we consider a rational function, the domain is not including the…

• MATH

A real estate agent received a 6% commission on the selling price of a house. If his commission…

Let us assume that the selling Price of the house is X. The real estate agent recieved 6% of the selling price which is 8,880 dollars. Then we will write: 6% (x) = 8,880 ==> (6/100) x = 8880 Let…

2 educator answers

• SCIENCE

polynomial valueswhat is the value of a polynomial?

The value of a polynomial is the result we get when substituting the variable x by a specific number. For instance, we’ll have the polynomial: P(x) = 3x^2 + 2x – 4 We want to determine the value of…

• SCIENCE

transformation of a number2a-5b+7b-2a is a number this number could be transformed in what?

The transformation is referring to combine like terms and to get: (2a – 2a) + (-5b + 7b) As we can notice, the terms inside the first brackets are eliminating each other: 2b The given number is…

• MATH

How we simplify 2x/(x^2 -6x+9) – 1/(x+1) – 8/(x^2 -2x-3)

We are given the expression : E = 2x/(x^2 – 6x +9) – 1/(x=1) – 8/(x^2-2x -3) First let us simplify the denominator (x^2 – 6x +9) = (x-3)^2 Also we will factor the denominator (x^2 -2x+3) =…

2 educator answers

• MATH

Find the inverse of the function f(x) = -2ln(2x-3) + 2.

Given the function f(x) = -2ln(2x-3) + 2 We need to find the inverse function f^-1 (x). Let us assume that f(x) = y ==> y= -2ln(2x-3) + 2 The goal is to isolate x on one side . Let us subtract 2…

2 educator answers

• MACBETH

In Act III, scene v of Macbeth, what foreshadowing do you see in lines 25-30?

In these lines, Hecate states her intentions in regard to Macbeth. Consider what she says in the entire passage, lines 25-33: I’ll catch it [a vap’rous drop hanging on the moon] ere it comes to…

2 educator answers

• MATH

Solve the eqaution: sqrt(4-x)^2 = 5- 2x

Given the equation: sqrt(4-x)^2 = 5- 2x First we will simplify the square root. We know that sqrt x^2 = l x l ==> sqrt (4-x)^2 = l 4 -x l ==> l 4 – x l = 5 -2x Then we have two cases: ==>…

2 educator answers

• MATH

Simplify and solve the expression sqrt(x^2 + 4-4x) using absolute value.

Given the equation: f(x) = sqrt(x^2 + 4 – 4x) We need to rewrite and solve the function using the absolute values. First we notice that (x^2 -4x+4) is a complete square and equals (x-2)^2 Then we…

1 educator answer

• MATH

Find the arithmetic sequence:What is the 32nd term of the arithmetic sequence where a1 = 4 and a6…

Let a1, a2, a3, ….., an be terms of arithmetic sequence. Then, we will assume that the common difference is r. Given that a1= 4 and a6 = 29 Then, we know that: an = a1 + (n-1)*r ==> a6 = a1…

1 educator answer

• MATH

Solve the inequality l -6 + 4x l =< 7

Given the inequality: l -6 + 4x l =< 7 We need to find the values of x where the inequality holds. We will rewrite the absolute values using the definition: ==> -7 =< (-6+4x) =< 7 Now…

2 educator answers

• ESSAY LAB

Is it okay if I talk in first person in my satire essay?

The short answer is yes, depending on whether your instructor has okayed it for this particular assignment. Satire can be very informal and can certainly be written from the first person…

1 educator answer

• MATH

Rewrite the expression l -2sqrt3 + 5/2 l without the absolute value

Given the expression : E= l -2sqrt3 + 5/2l We need to rewrite the number. Let us calculate the values between the absolute value. ==> E = l ( -4sqrt3 + 5)/2 l = l -4sqrt3 +5 l / 2 ==> We know…

1 educator answer

• PRIDE AND PREJUDICE

In Jane Austen’s Pride and Prejudice, help me compare and contrast the Bingley-Darcy and…

In both of these pairs, there is a secondary individual and a primary one. Bingley and Jane are secondary while Darcy and Elizabeth are primary. The interesting paradox (seeming contradiction…

1 educator answer

• THE DIARY OF A YOUNG GIRL

Based on play “Diary of Anne Frank”, is Mrs. Frank correct when she states “if my husband had any…

I believe she was correct, although Mr. Frank was far too gracious to ever state that sentiment himself. Mr. Frank had generously offered space in an already crowded apartment to shelter the Van…

1 educator answer

• SCIENCE

applications of Newton’s lawdiscuss about everyday applications of Newton’s first law

You can see this law in action all the time. For example, it is this law of motion that governs a car as you come to a stop sign. You know that the car will remain in motion unless you apply the…

2 educator answers

• THE DIARY OF ANNE FRANK

Based on the play version “The Diary of Anne Frank” by Goodrich and Hackett, is Mrs. Frank…

I think that it is difficult to really pass strong judgments against anyone in the Frank diary. I would strongly advise against being able to do so because it is nearly impossible to place oneself…

1 educator answer

• THE MINISTER’S BLACK VEIL

What are some metaphors in “The Minister’s Black Veil” by Hawthorne?

Let us remember that a metaphor is an example of figurative language, that compares one thing to something else completely different but forces us to see the comparison. However, metaphors differ…

1 educator answer

• MATH

Find the domain of the function: f(x) = sqrt(x-2)/sqrt(3-x)

Given the function: f(x) = sqrt(x-2) / sqrt(3-x) we need to find the domain. Since the function if a quotient, then the denominator can not be zero. Also, the square root must be a values greater…

2 educator answers

• TRIGONOMETRY1

finding a valuesin A=? cos A = -(3/5) 90 degrees < A < 180 degrees

Given that cos(A) = -3/5 We need to find sin(A) suchthat A is in the second quadrant. First let us calculate the value of sin(A). We know that sin^2 A + cos^2 A = 1 ==> sin^2 A = 1- cos^2 A…

1 educator answer

• TRIGONOMETRY1

find the value of cosine functiontan θ = -2/3 and angle θ lies in the second quadrant, what is…

tan x = -2/3 We need to find cosx such that x is in the second quadrant. We know that: sinx/cosx = tanx = -2/3 ==> sinx = (-2/3) cosx Also, sin^2 x + cos^2 x= 1 ==> (-2/3)cosx)^2 + cos^2 x =…

1 educator answer

• MATH

real solutions the equation is x^4+8x^2=9 could i have real solutions and complex solutions for…

You need to solve for x the equation x4+8×2=9×4+8×2=9 , hence, you should complete the square to the left side, using the formula (a+b)2=a2+2ab+b2,(a+b)2=a2+2ab+b2, such that: x4+8×2+16=9+16×4+8×2+16=9+16(add…

1 educator answer

• THE CRUCIBLE

What would be a good thesis statement for my introduction? I’m writing an essay on The CrucibleI…

I think that you have a very interesting thesis statement. I would spend some time in talking about how Proctor has to assume the moral position of being on the “right side of history” because so…

2 educator answers

• MATH

difference between equation and expressiondiscuss the difference between equation and expression

You can see the expression as a word in a sentence and the equation as the sentence itself. We can use expressions to form equations. Let’s see an example: 2x is an expression. If we plug in values…

• MATH

need a hintx+y=5 xy=3 x^2+y^2=? what means ‘conventional way’ to solve?

x+y=5 xy=3 x^2+y^2=? That means that you will need to us the first two equations to solve for the third. Let us rewrite the third equation. ==> We know that ( x+y)^2 = x^2 + 2xy + y^2 ==> x^2…

2 educator answers

• HISTORY

What would be the theme of “Hallowed Ground” by James M. McPherson? After reading the book, it…

I agree with you — it is not easy to determine a theme for this book because it is really more of a travel guide. Such a book does not have the same sort of obvious theme that a more traditional…

1 educator answer

• BAREFOOT IN THE PARK

Trying to make a short skit that’s funny :)So my characters are both normal people living normal…

The key to good humor is a combination of good material with good delivery. How bout your characters find a giant footprint in the snow in their backyard? One character would want to share the news…