Capulet shouts at Juliet for not marrying Paris. What does this show about women in…
- MATH
Evaluate the product (1 – 4^-1)(1 – 9^-1)…(1 – 100^-1).
To find the product (1 – 4^-1)(1 – 9^-1)…(1 – 100^-1). We rewrite the product as (1-1/4)(1-1/9)(1/16)(1-1/25)….(1-1/100) (1-1/2^2)(1-1/3^2)(1-1/4^2) ….(1-1/10^2)…..(1) Consider 1-1/n^2 =…
- ROMEO AND JULIET
Capulet shouts at Juliet for not marrying Paris. What does this show about women in…
Until well into the 19th century, women in the western world had no legal status at all – they belonged to their husbands or fathers in the same way the man would own a chair or a cow or a piece of…
1 educator answer
- 1984
What does 1984 tell us about the importance of controlling relationships between man and woman in…
A good place to look for the answer to this question is in looking at the relationships that Winston has had in his life, most specifically with Julia. When he is with Julia for the first time,…
1 educator answer
- THE CATCHER IN THE RYE
How does Holden challenge society’s values?
One of the main ways that Holden challenges society’s values is in the way that he looks at the world. For him, nearly everything about the world is “phony,” particularly the people in it….
1 educator answer
- PHILOSOPHY
What are the essential things to finding success in life?I think knowledge.
I think that a large part of this question comes down to what one considers the meaning of life to be. I think that this is essential because in order to understand what are essential ingredients…
2 educator answers
- MATH
Prove that (x^8+x^6+x^4+x^2+1)/(x^4+x^3+x^2+x+1) = x^4-x^3+x^2-x+1.
To prove that (x^8+x^6+x^4+x^2+1)/(x^4+x^3+x^2+x+1) = x^4-x^3+x^2-x+1. We know that x^8+x^6+x^4+x^2+1 is a GP with x^2 as common ratio.. So x^8+x^6+x^4+x^2+1 = (x^10-1)/(x^2-1) Similarly,…
- LITERATURE
english as an international language Write a critical note on the importance of English as an…
This is awfully broad/vague, but I hope this will be something like what you have in mind: English has become the international language. This is really quite useful because it allows for much…
2 educator answers
- MATH
Simplify the expression [4-(3+x)/x]/[(x-1)/(x+1)]-[4/(x-x^2)]
Due to the limitations of the editor box, I have chosen to write at the bottom of the answer my notes explaining, as far as possible, each step. This is in the hope of not disrupting the flow of…
1 educator answer
- MATH
What is x for (x^2-1)/(x^2-4) > -1 ?
We need to find x for (x^2-1)/(x^2-4) > -1 Now let us first multiply both the sides by (x^2 -4 ) . Here we assume x^2 -4 is positive. => (x^2-1)/(x^2-4) > -1 => x^2 – 1 > -1* ( x^2 -…
1 educator answer
- MATH
What is the ratio of the circumferences of two circles that have diameters in the ratio 1:5 ?
We have to find the ratio of the circumferences of two circles which have diameters in the ratio 1:5. Now we know that the radius is equal to half of the diameter. If the diameters are in the…
2 educator answers
- SCIENCE
To what extent do u think evidence is needed to support a certain scientific theory or a…
Well, in reality any idea that is not supported by evidence is merely that: An idea or hypothesis. A theory however dissociates itself from a hypothesis in that there is evidence available to…
1 educator answer
- MATH
Evaluate if the function y = 3x^5 + 7x^3 + 2x + 1 is bijective .
To prove that a function is bijective, we have to verify if the function is one to one and on-to. To verify if the function is one to one, we’ll calculate the first derivative and we’ll check if…
- DOVER BEACH
Matthew Arnold’s “DOVER BEACH” introspects the esteem of faith and love. Discuss.
The poem does consider the ideas of faith and love which are often a feature of Victorian poems. The faith that Arnold refers to is faith in God which has come under attack because of recent…
2 educator answers
- MATH
We’ll note the given expression: f(x) = lnx-2(x-1)/(x+1) We’ll have to demonstrate that f(x)>0. To prove that a function is increasing, we’ll have to prove that the first derivative of the…
- ESSAY LAB
Euro: Can you please provide me with a good outline and the notes that this outline was based on…
Sorry, but eNotes editors don’t do homework for students. All we do is provide guidance to help you do the work yourself. From your question, it is unclear what your essay is about. Is it about the…
1 educator answer
- MATH
Find the derivative of the following functions:f (x)= x^8 sin 5x
f (x)= x^8 sin 5x We need to find the first derivative: Let f(x) = u*v such that: u= x^8 ==> u’ = 8x^7 v= sin5x ==> v’ = 5cos5x Then we know that: f'(x) = ( u’v + uv’) = (…
2 educator answers
- MATH
Differentiate f (z)= cos z/1+ sin z
f(z) = cosx/ (1+ sinz) Let f(z) = u/ v such that: u= cosz ==> u’ = -sinz v = 1+sinz ==> v’ = cosx ==> f'(z) = (u’v – uv’)/ v^2 = ( -sinz(1+sinz) – (cosz*cosz)]/ (1+…
2 educator answers
- GOOD COUNTRY PEOPLE
What does “We are not our own light” mean?
Near the beginning of Flannery O’Connor’s comic story “Good Country People,” she narrates: And she said such strange things! To her own mother she had said without warning, without excuse,…
1 educator answer
- MATH
Write 2 log3 x + log3 5 as a single logarithmic expression.
Let E = 2 log3 x + log3 5 We will use the logarethim properties to simplify the expression: We know that: a*log b = log b^a ==> E = log3 (x^2) + log3 5 Now since the bases of the logarethim are…
2 educator answers
- MATH
Factor the algebraic expression 6×2 – 21xy + 8xz – 28yz.
simplify: Let E = 6×2 – 21xy + 8xz – 28yz Let us group sides: E = ( 6x^2 -21xy ) + (8xz – 28yz) Factor 3x from the first 2 terms: ==> E = 3x(2x -7y) + (8xz- 28yz) Now we will factor 4z from the…
2 educator answers
- MATH
| – x2 + 4x – 4 | First let us factor -1 from the expression: ==> l -x^2 + 4x – 4 l = l – (x^2 -4x + 4) l Now we know that: (x-2)^2 = (x^2 – 4x + 4 ==> l -x^2 + 4x -4 l = l – (x-2)^2 l We…
1 educator answer
- MATH
Find the constant k so that the quadratic equation 2×2 + 5x – k = 0 has two real solutions.
2×2 + 5x – k = 0 If the function has two real solutions , then delta must be a positive number greater than 0: We know that: delta = b^2 – 4*a*c > 0 Such that: a = 2 b = 5 c = -k Let us…
1 educator answer
- MATH
Find the point(s) of intersection of the parabola with equation y = x2 – 5x + 4 and the line with…
x2 – 5x + 4 and the line with equation y = 2x -2 Let the parabola be: f(x) = x^2 – 5x + 4 and the line y = 2x -2 The point where f(x) and y intersects is when f(x) = y Let us susbtitue: f(x) = y…
1 educator answer
- MATH
A circle of center (-3 , -2) passes through the points (0 , -6) and (a , 0). Find a.
A circle of center (-3 , -2) passes through the points (0 , -6) and (a , 0). Find a First we will write the standard form for the circle: ( x- x1)^2 + (y-y^2) = r^2 such that: (x1, y1) is the…
2 educator answers
- MATH
If x < -7, simplify |4 – |3 + x||
x < -7 simplify |4 – |3 + x|| First we will simplify the expression l 3 + x l Since x < -7 Then we will add 3 to both sides: ==> x + 3 < -7 + 3 ==> x+ 3 < -4 Then we conclude that…
1 educator answer
- MATH
Find all real solutions to the quadratic equation x2 + 2 = x + 5
x^2 + 2 = x+ 5 First we will rewrite the equation with the right side equal o: ==> x^2 + 2 – x – 5 = 0 Now we will rearrange: ==> x^2 -x – 3 = 0 Now we will use the formula to solve: We know…
1 educator answer
- MATH
Find the distance between the points (2, 3) and (0, 6).
Given the point (2,3) and ( 0,6) Let the point A be ( 2,3) and the point B be (0,6) Now we know that the formula for the distance between two points is given as follows: l AB l = sqrt[( xB-x)62 +…
1 educator answer
- MATH
Find the center and radius of the circle whose equation is given by: (5 – x)^2 + (y – 1)^2 = 4
(5-x)^2 + (y-1)^2 = 4 We know that the standrad form for the circle equation is given by the formula: ( x- a)^2 + (y- b)^2 = r^2 such that: (a, b) is a point such that the point is the center of…
1 educator answer
- MATH
How many Kilos of Pure water to be added to 100 Kilos of 30% saline solution to make it 10%…
Let x be the weights of pure water to be added. Let y be the weight of the 10% solution. Then: x + 100 = yNow Let us auume that the amount of salt in the pure water is 0. Given the amount of salt…
1 educator answer
- MATH
Given x1,x2,x3,x4 the solutions of the equation x^4+1=0 calculate the sum of the solutions and…
x^4+1 = 0. x1,x2,x3 and x4 are the roots of the equations. Therefore x^4 +0x^3+0x^2 +0x+1 = 0. Therefore by the relation between the roots and coeefficients of the equation we have: Sum of the…
- MATH
Find all rational zeros of P(x) = x3 – 7x + 6
P(x) = x^3 – 7x + 6 First we will factor 6 to find possible roots for the function f9x): 6 = 1, -1, 2, -1, 3, -3, 6, -6 Let us try and substitute x = 1: ==> P (1) = 1 – 7 + 6 = 0 Then x= 1 is…
1 educator answer
- MATH
Solve for x 25^x – 6*5^x + 5 = 0.
25^x – 6*5^x + 5 = 0 Let us rewrtie 25^x We know that 25 = 5^2 ==> 25^x = 5^x)^2 Then let us rewrtie the equation: (5^x)^2 – 6*5^x) + 5 = 0 Now let us assume that 5^x = y ==> y^2 – 6y + 5 =…
1 educator answer
- MATH
What is vector b if a*b=14 and c*b=16? a=3i+j, c=5i-2j
We’ll write the vector b as: b = x*i + y*j We’ll apply the definition of dot product. a*b = (3i+j)(xi + yj) a*b = 3xi^2 + 3yij + xij + yj^2 since the product of vectors ij = 0 and i^2 = j^2 = 1 a*b…
- BUSINESS
The leader is expected to play many roles & therefore he must be qualified to guide others…
I believe the question is making an assertion that ” a leader , in order to guide others to organizational achievement, must be able to play multiple role. This statement is very much correct. The…
- TO KILL A MOCKINGBIRD
Why doesn’t Atticus tell the children about Mrs. Dubose’s motives before her death?
Making Jem read to Mrs. Dubose as a means to make amends for destroying her flowers is the lesson he first and foremost wants to teach. No matter how angry someone makes you, you shouldn’t…
1 educator answer
- TO KILL A MOCKINGBIRD
Why does Cal speak differently at First Purchase?
There is an interesting irony when Calpurnia takes the children with her to the First Purchase African Methodist Episcopal Church in To Kill a Mockingbird: Some of them question Cal about why she…
2 educator answers
- TO KILL A MOCKINGBIRD
What purpose is served by the scene between Cal and Lula at First Purchase?
The confrontation between Lula and Calpurnia in Chapter Twelve of To Kill a Mockingbird occurs as the children enter the First Purchase African Methodist Episcopal Church outside the southern…
1 educator answer
- MATH
Transform from algebraic form to trigonometric form the complex number z
Complex numbers can be expressed in many forms: Rectangular form: a + jb , where a and b are real numbers and j is an imaginary number given by sqrt(-1). Here, j is used as an operator to…
1 educator answer
- MATH
Solve for a,b,c: (25a^2-20a+8)^1/2+(3b^2-6b+19)^1/2+(16c^2-16c+40)^1/2<12
We’ll write the folowing expressions in this way: 25a^2-20a+8=25a^2-2*5*10a+4+4 25a^2-20a+8=(25a^2-2*5*10a+4)+4 25a^2-20a+8=(5a-2)^2+4 3b^2-6b+19=3b^2-2*3b+3+16 3b^2-6b+19=(3b^2-2*3b+3)+16…
- TED HUGHES
What are all of the literary devices eg. metaphor, simile, alliteration in “Full Moon and Little…
Full Moon and Little FriedaA cool small evening shrunk to a dog bark and the clank of a bucket – And you listening.A spider’s web, tense for the dew’s touch.A pail lifted, still and brimming…
1 educator answer
- HARD TIMES
Justify the statement: Hard Times is a passionate attack on contemporary Victorian society and…
This classic Victorian novel in many ways represents an attack on a way of life that becomes increasingly demarcated by industrialisation. This is shown to affect every sphere of life, including…
1 educator answer
- OEDIPUS REX
In Oedipus Rex, does Jocasta play any role in protecting her city and its citizens?
This is a very interesting question because I think that when we think about this play the tendency is always to focus on Oedipus and his journey to terrifying self-knowledge. We forget that other…
1 educator answer
- MATH
Prove that the series that have the sum of the n terms Sum=4^n -1, is a geometric progression.
If we want to prove that the given series is a geometrical progression, we’ll have to substantiate that having 3 consecutive terms of the progression, the middle one is the geometric mean of it’s…
- STRANGE MEETING
Are there any examples in Owen’s “Strange Meeting” that its form (language, meter, sound and…
In Owen’s poem, form does relate to content. Language choices reflect the hard, harsh content discussing Hell: “I knew that sullen hall, / … I knew we stood in Hell.” This connection between…
1 educator answer
- MATH
Solve for x and y. cos y=(x+x^-1)/2
We’ll apply the inequality between the arithmetical mean and geometrical mean: for a>0, b>0, then (a+b)/2>sqrt (a*b) Particularly, fora>0, then a+(1/a)>2sqrt(a*1/a)=2, and the…
- MATH
In how many ways can 24 be expressed as the sum of two prime numbers ?
By definition, a prime number is a positive integer, excluding ‘1’, that is divisible only by itself and ‘1’. For purpose of explanation, allow me to paraphrase the question as: “Consider m and n…
1 educator answer
- MATH
What is the place value of 3 in 983456 ?
The place value of the digit 3 in the number 983456 is 3,000. The reason for this is because the place value is located in the position of the 1,000 family. The 6 would be in the ones place, the 5…
1 educator answer
- PHYSICS
Determine the maximum potential loaded on a sphere?The condition of loading: atmospheric pressure…
The potential and the electric field outside the sphere are the same as the sphere’s load would be centered. V=Q/(4*pi*epsilon*r) E=Q/(4*pi*epsilon*r^2), r>R At the sphere’s surface, the…
- TEACHERS
I need some ideas for my Portfolio!I am currently working on my last assignment for my college…
If the “Wild Card” element of the portfolio is somethign based on student choice, I would suggest that selecting any work sample you have composed over the course’s duration and arguing it as a…
3 educator answers
- PHYSICS
What is the weight of the electrons loaded on a sphere of radius r =20mm?The potential of loaded…
We’ll write the formula to determine the number of electrons: N=Q/(-e) We’ll determine the weight of electrons: m=N*me=[Q/(-e)]*me (1) We’ll consider the following constraints inside a sphere: the…