How many solutions has the equation (x+3)^1/2=2 and calculate the solutions?
- MATH
How many solutions has the equation (x+3)^1/2=2 and calculate the solutions?
(x+3)^1/2 = 2 ==> (x+3) = 2^2 ==> x+ 3 = 4 ==> x= 1 To check: (1+3)^1/2 = 2 4^1/2 =2 2=2
1 educator answer
- MATH
Find the minim value of the function f(x) = x^2 – 2x + 2?
The extreme value of a function could be determined using the first derivative of the function. For x values where the first derivative is cancelling, the function has an extreme point, of minimum…
- MATH
Calculate the 6th term of a geometric progression bn if b1=(3)^1/2 and b2=(27)^1/2 ?
b1, b2, b3,…, bn is a geametric progression b1= 3^1/2 b2= 27^1/2 = (3^3)^1/2 = b1r = r*(3^1/2) = ((3^2)*3)^1/2 = (3^2)^1/2)* 3^1/2 =…
1 educator answer
- MY LAST DUCHESS
What are the differences between the Duke and his wife in Browning’s poem ” My Last Duchess?”
Talk about opposites! The Duke is the epitome of a jealous, obsessively possessive husband. He is rich and powerful and comes from a very aristocratic family. He is proud of himself, his wealth,…
2 educator answers
- BY THE WATERS OF BABYLON
Who is the hilled people in by the waters of babylon? Where did they come from? Who are their…
We have no way of actually knowing who the Hill People in this story were, at least not specifically. In general, though, I would say that they were the descendents of some of the people who…
1 educator answer
- MATH
The point A(0,2) belongs to the graph of second degree function f. The x axis interceptings of…
First, let’s note the function f(x) = ax^2 + bx + c. To determine the function we have to determine it’s coefficients. We have 3 undefined coefficients, so we’ll have to have 3 relations to…
- MATH
Which is the position of the line y=5x-9 towards the parable y = 4x^2 – 7x?
A line could be located in 3 positions, with respect to the parable: – outside the parable, the 2 of them having no common points; – tangent to the parable, the 2 of them having a single common…
- ARTS
WHAT IS THE Lord of the Rings’? WHAT IS THE SPECIFIC STYLE ESPECIALLY IN SHOWING THE USE OF…
I think that the question could be more specific. If we are talking about the book, Tolkien writes in a fantasy style of composition, with very profound philosophical themes. He is quite aware of…
1 educator answer
- MATH
Which is the minim of the function f(x)=x^2+4x+5 ?
To find the minimu of f(x) =x^2+4x+5 = x^2+4x+4+1 =(x+2)^2 +1. (x+2)^2+1 > 1 for all x real. f(x) =1 minimum when x= -2 .
- MATH
Solve the equation (7x+1)^1/3 = x+1.
To solve (7x+1)^(1/3) = x+1 Take the 3rd power. 7x+1 = x^3+3x^2+3x+1 0 =x^3+3x^2+3x+1-7x-1 0 = x^3+3x^2-4x 0 = x(x^2+3x-4) = x(x+4)(x-1) x=0, x+4 = 0, x-1 =0, x=0, x=-4, x=1.
- MATH
Given the terms of the arithmetical progression, a3=5 and a10=19, determine the sum of the 2010…
The sum of n terms of the arithmetic progression is Sn = {a1+a1+(n-1)d)n/2 , where a1 = 1st term, d = common increment, n = umber of terms. a3 = a1 +(3-1) =a1+2d = 5., a10 = a1+(10-1)d = a1+9d =…
- LAW AND POLITICS
Understand what “national security” is and the importance of it in American governmentUnderstand…
Americans both in the government and in public are somewhat obsessed with national security, and have been pretty much since Pearl Harbor in 1941. National security could be defined as the actions…
4 educator answers
- LAW AND POLITICS
What is “national security” and how is it important in American government?Understand what…
Americans both in the government and in public are somewhat obsessed with national security, and have been pretty much since Pearl Harbor in 1941. National security could be defined as the actions…
3 educator answers
- MATH
The points M(2,3) and N(5,4) are on the same line. Determine the equation of the line that passes…
The unique line that passes through 2points whose coordinates are (x1,y1) and(x2,y2) is y-y1 = {(y2-y1)/(x2-x1)}(x-x1). Here (x1,y1) =M(2,3) and (x2,y2) = N(5,4) So the equation of line through M…
- MATH
Calculate the sum of the first 20 terms of an arithmetical progression, if a1=3 and a2=7.
The sum of nterms of an arithmetic progression with a1 as starting term and d as common increase is S = {a1+a1+(n-1)d}n/2, where n is the number of terms. Here a1 = 3. d = a2-a1 = 7- 3 = 4 n…
- MATH
Which is the solution of the equation 4^x – 6*2^x + 8 = 0?
The equation 4^x-6*2^x+8 = 0 could be converted into a quadratic equation of 2^x. And then solved for 2^x. And then solved for x. let2^x = t, then 4^x = (2^x)^2 = t^2 . So the given equation is:…
- LITERATURE
Do you listen to audiobooks?As an avid reader, I’d prefer to be a passenger on trips so I can get…
I am a visual learner also, and I never thought that I would be able to comprehend a lengthy text read to me. But lately I have truly enjoyed audiobooks when I have been travelling. I read the…
19 educator answers
- MATH
The points (1,2), (2,-2) belong to the same line. Which is the equation of the line?
If the given points belong to the line, that means that the line is passing through these points. Let’s note these points as A(1,2), B(2,-2) The equation of the line which passes through 2 given…
- POETRY
What is summary of loveliest trees by t.s. eliot ?Are you thinking A.E. Housman? editor
I’m thinking you are referring to A.E Housman’s short, but oh so sweet poem, The Loveliest of Trees, as I’m not familiar with a poem entitled “Loveliest Trees” by Eliot. And, as you have not yet…
1 educator answer
- MATH
Solve the equation log 3 (x+5) – log 3 (x-1) = 1?
The equation log3(x+5)−log3(x−1)=1log3(x+5)-log3(x-1)=1 has to be solved. Use the property of logarithm loga−logb=log(ab)loga-logb=log(ab) log3(x+5)−log3(x−1)=1log3(x+5)-log3(x-1)=1 log3(x+5x−1)=1log3(x+5x-1)=1 If the logarithm…
- MATH
Solve for x (x^2 + x + 1)^(1/2) = (x-1)
(x^2+x+1)^(1/2) = x-1 squaring both sides, x^2+x-1 = (x-1)^2 = x^2-2x+1. x-1 = -2x+1. x+2x = 1+1. Or 3x = 2 Or x =2/3
- MATH
If the minimum value of f is -1, which is the function f = x^2 – (m+2)x + (2m-1) ?
To detremine the function, we could use 2 methods: either using the first derivative of the function, or using the formula of the parable vertex. Let’s see how to use the formula of parable…
- HISTORY
read the diary of anne frank and explain about the areas of concentration camps in not more than…
Well, first of all, I believe you are supposed to read the book yourself – and you should – the length is deceptive, it is actually a very quick and easy read. That said, you must realize that…
1 educator answer
- MATH
Which is the perimeter of a right angle triangle if the sum of the cathetus is 17 and the product…
First, let’s note the sum of cathetus S = 17 and the product P = 60. We know to form the quadratic equation when we know the sum and the product: x^2 – Sx + P = 0 x^2 – 17x + 60 = 0 We’ll apply…
- MATH
In the triangle ABC, the sides are AB=4, BC=5, AC=8. Calculate the area ABC.
To calculate the area of the triangle ABC, we’ll use Heron’s formula: A = sqrt[p(p-AB)(p-AC)(p-BC)], where p = (AB+AC+BC)/2 Let’s calculate p = (4+8+5)/2 = 17/2 p – AB = 17/2 – 4 = (17-8)/2 = 9/2 p…
- MATH
the line x-2y-3 is intercepting the line 2x-3y+5. which is the intercepting point?
The intercepting point is nothing but the solution of the system formed by the equations of the 2 intersecting lines. Let’s solve the system: x-2y-3 = 0 (1) 2x-3y+5 = 0 (2) From the first…
- MATH
How to prove that the point (0,-m) is on the line x+2y+2010?
To prove that a point belongs to a line, the coordinates of the point have to verify the equation of that line. In this case, the y coordinate is undefined, so it has to respect the constraint of…
- MATH
pyramid ^base 214.5m eachside height 143.5m,slant height 179.4m,make model use scale 6m to 2cm, u…
Answer deleted by me. Krishna
- MATH
Angle of elevation fromtip of the shadow of a 12 ft flag pole to the top of pole is 60 degree….
Given: Angle of elevation of the shadow = A = 60 degrees Length of pole = y = 12 ft. We have to find distance from tip of shadow to top of pole (r). In this question, for the angle of elevation of…
- THE ROAD NOT TAKEN
What is the message sent by these three aspects of the poem: tone, the symbol yellow, and it…
Concerning Frost’s “The Road Not Taken,” complex, sophisticated poetry doesn’t usually “send messages.” It reveals or raises ideas and themes. It reveals human existence. Sophisticated…
1 educator answer
- GUIDE TO LITERARY TERMS
What are the main differences between Literary fiction and Commercial fiction?
The main difference between these types of fiction is in their mass appeal and accessibility. Literary fiction tends to be very symbolic, thick, poetic, and focus more on themes, the actual…
2 educator answers
- SHILOH
Please help me point out the dramatic irony, allusion, paradox and ambiguity in “Shiloh” written…
The foremost dramatic irony in “Shiloh” is found in the characterizations of Leroy and Norma Jean. Disabled by an accident, he is the physically weaker of the two; his wife lifts weights and…
1 educator answer
- RELIGION
How does the Nation of Islam act as a foil to Christianity? Is this foil necessary? Why?
Is your question a general question, or do you have a work of literature in mind? If it is a general question, I’m not sure “foil” is the proper word to use here because in literature, a…
1 educator answer
- THE THINGS THEY CARRIED
What are some instances of dramatic irony, allusion, paradox and ambiguity in “The Things They…
Examples of these techniques are ubiquitous in The Things They Carried. What might help would be to narrow down to a particular story. For example, “On the Rainy River” is a particularly strong…
1 educator answer
- THE CRUCIBLE
What is John Proctor’s relationship to Mary Warren?
The relationship between Proctor and Mary Warren is, first of all, one of service; that is, Mary is a servant in the Proctor home. She is apparently a rather timid girl. When we first meet her,…
2 educator answers
- MISS BRILL
Of what importance to the story is the woman in the ermine toque?
The woman in the ermine toque and the gentlemen she is meeting are two of several characters in the “play” of life that Miss Brill enjoyed watching every day. The “ermine toque” woman is…
2 educator answers
- SCIENCE
How do scales and colour help a fish? in the wild, environment
Color is very important to a fish because it helps to camouflage the fish. Fish have many predators and when they blend in with their environment it is harder for these predators to see them….
1 educator answer
- SCIENCE
How does solar energy work? (process)
The process that powers the Sun is a nuclear reaction that occurs at the center where it is hottest: 15 million degrees is our best estimate. There the hydrogen atoms that make up the Sun are…
1 educator answer
- THE GREAT GATSBY
How does the symbol of class and society compare to the overall meaning as expresses in other…
I would say that the question might need to experience some refinement. Are we examining the literary theme of class and social orders at a specific point in time? Is it located in a specific…
1 educator answer
- SCIENCE
How are apoptosis and necrosis simular and different?
Apoptosis is programmed cell death undertaken by the body as part of a normal biological process in multicellular organisms. This is accomplished through biochemical reactions. This is an internal…
1 educator answer
- SCIENCE
How are haploid and diploid cells different?
The body contains two types of cells – haploid cells and diploid cells. The difference between them is the number of chromosomes that the cell contains. All animal cells have a fixed number of…
1 educator answer
- PHILOSOPHY
Philosophy and wisdom are most certainly related to one another in a very close way. I would say that philosophy is more of a search for wisdom. Philosophers (or “thinkers”) try to gain or attain…
2 educator answers
- A CONNECTICUT YANKEE IN KING ARTHUR’S COURT
In A Connecticut Yankee in King Arthur’s Court, what are five incidents that hinder Hank’s progress?
In Mark Twain’s A Connecticut Yankee in King Arthur’s Court, Hank continually works toward specific goal: if he cannot return to the nineteenth century, he will make the sixth century like the…
1 educator answer
- A CONNECTICUT YANKEE IN KING ARTHUR’S COURT
What are five incidents that hinder Hank’s progress in A Connecticut Yankee in King Arthur’s Court?
In Mark Twain’s A Connecticut Yankee in King Arthur’s Court, Hank continually works toward specific goal: if he cannot return to the nineteenth century, he will make the sixth century like the…
1 educator answer
- THE KILLER ANGELS
Why was the Battle of Little Round Top important to both the North and the South? What was the…
In the rolling green hills of south central Pennsylvania, Little Round Top represented the “high ground”, from which you could station your cannons and observe the enemy’s movements. Both the…
2 educator answers
- TO BUILD A FIRE
How does “To Build a Fire” illustrate the elements of naturalistic literature?
Jack London’s “To Build a Fire” is a product of naturalism or naturalistic thinking in a couple of different ways. First, the story perceives human beings as akin to nature, in the sense that…
1 educator answer
- A SCANDAL IN BOHEMIA
Compare and contrast “A Scandal in Bohemia” by Sir Arthur Conan Doyle and “The Gold Bug” by Edgar…
Poe’s “The Gold Bug” has some points similar to those in Doyle’s “A Scandal in Bohemia,” but in the main, there is more to contrast than to compare. The first point where they compare is that…
1 educator answer
- ESSAY LAB
How can I write these paragraphs avoiding some ideas falling into the other paragraph?(not…
Every essay needs a general focus or thesis statement. So, if your main topic is school uniforms, what general factual statement can you make about them? Example: there is much debate and…
3 educator answers
- THE MOST DANGEROUS GAME
Give two examples which demonstrate that General Zaroff cheats to win his game?
I don’t believe General Zaroff cheated in any way during his hunt of Rainsford in “The Most Dangerous Game.” Although Zaroff’s rules were obviously both unfair and inhumane, he apparently did not…
2 educator answers
- BEN JONSON
Summarize Ben Jonson’s poem “Song to Celia.”Song to Celia Drink to me only with thine eyes,…
This song, so famous in English, is a classic and fascinating expression of love. Jonson’s ideas are so sincere and unusual that they are memorable as well as beautiful. “Drink to me only with…