# If around the point O are O1, O2,…,On angles determine n natural numberknowing m(O1) = n…

**MATH**

**If around the point O are O1, O2,…,On angles determine n natural numberknowing m(O1) = n…**

Because of the fact that O1, O2,…On, are angles around O point, that means that we could add them: m(O1)+m(O2)+…+m(On)= 360 degrees Now we’ll substitute the values above with the ones…

**HISTORY**

**What is the main reason that the United States’ political consensus of the 1950s broke down in…**

In my opinion, this breakdown in political consensus came about because of the fact that America achieved a great deal of material wealth during the 1950s. Because of this, people in the ’60s were…

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**LITERATURE**

**I’m Only as Good as my Teacher IsThere were two specific teachers that shaped and formed me into…**

Well, first of all let me just say good for you for exploring your writing, and for having career and personal goals at such a young age I am a teacher, and that is both rare and good to see….

7 educator answers

**MATH**

**Find the solution for ( n + 1 )!*( n – 1 )! = 30**

To solve (n+1)!*(n-1)! = 30. Let since n-1 and n+1 has the difference 2, we can make a trial and error method. We know that r! = 1*2*3..r, where r is a positive integer. 1!*3! = 1*(1*2*3) = 6 2!*4!…

**MATH**

**Determine the system solution x+y+z=1 ax+by+cz=1 ax^2+b^2y+c^2z=1**

If we create the matrix of the system and after that we calculate it’s determinant,we’ll note that the determinant is Vandermonde type, that means that the solution is the result of…

**NIKKI GIOVANNI**

**What is “Woman” by Nikki Giovanni about? How does this poem relate to the author’s life?**

Nikki Giovanni’s “Woman” is, from beginning to end, is a search for identity. It outlines clearly a partnership between a man and a woman where the woman desires support he will not give her….

2 educator answers

**ANTONY AND CLEOPATRA**

**In Antony and Cleopatra, why does Egypt dominate Act 1?**

I’m not sure that Egypt dominates Act I, unless by Egypt, you mean Cleopatra, since she is Pharaoh and, as such, would have been seen as “Egypt” incarnate. However, it is certainly worth examining…

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**THE AMBITIOUS GUEST**

**What is the theme and purpose of the story?**

This story is a fable about the purpose of life, the vanity of earthly greatness, ambition, pride. The guest has lofty ambitions for his life, not because he wants to improve mankind, but because…

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**TO KILL A MOCKINGBIRD**

**I have to write an opinion piece on the stance “Older people generally don’t understand much…**

While it’s an interesting idea, I’d have to say that the opposite is generally true in this novel–most of the adults do seem to understand and relate to the young people (Jem, Scout, and Dill) in…

2 educator answers

**HISTORY**

**I need a research topic for African-American studies, 5-7 page paper, hopefully focusing on the…**

The island of Barbados was a thriving center for the Caribbean slave trade, and a common destination for slaves on the other side of the Middle Passage. From there, slaves were sold in all…

4 educator answers

**THE GREAT GATSBY**

**Who are the male characters in the novel, “The Great Gatsby”, and what is their effect on the plot?**

The central male characters are Nick Carroway, Jay Gatsby, Tom Buchanan, and George Wilson. Nick is the narrator of the story. He tells the story in retrospect, approximately two years after the…

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**GRAHAM GREENE**

**In the story “The Case for the Defence” what does “plead mistaken identity” mean?nothing**

Although this is said in the context of a trial and has the word “plead” in it, it is not a technical legal term. You cannot tell the judge “I plead mistaken identity” instead of pleading guilty….

1 educator answer

**BUSINESS**

**What types of securities must be issued by a firm which is on the growing stage in order to meet…**

Any firm can issue bonds, debentures or shares of it stock for accessing the funds it requires. In the case of a company on the growth stage too any of the ones mentioned can be used. In the case…

**WUTHERING HEIGHTS**

**Who are the main characters of “Wuthering Heights”?I’m just lost. There are way too many…**

Redscar has given you a terrific outline of the characters in this novel. The only thing I might add is this: not all characters in fiction are considered “main characters”. Characters have…

1 educator answer

**MATH**

**Calculate 1 + i +i^2 + i^3 +…+ i^10**

We know that the power of i are: i^2=-1, i^3=i^2*i=-1*i i^3 = -i i^4=i^2*i^2 i^4 =-1*-1 i^4 = 1 In this way, we note that the values of the i powers are iterative after 4 steps. So, we can…

**MATH**

**Solve lim[ln(1 + kx)]/x if x–> infinite.**

We could re-write the limit above in this way: lim (1/x)*ln (1+kx) Moving the ratio (1/x) in front of the ln function,we could use the property of ln function: (1/x)*ln (1+kx) = ln (1+kx)^(1/x) we…

**ANIMAL FARM**

**How does the farm under Napoleon’s leadership differ from the farm under Farmer Jones’ rules?**

I would say Napoleon’s leadership is much more devious than Mr. Jones’. The farm under Mr. Jones’ guidance was poorly handled, with his drunkenness being the catalyst for change. At the same…

1 educator answer

**MATH**

**Determine the equation of the line d given by the point A(2,-4, 1) and the directory vector…**

The vectorial equation of the line “d” is: x = xA + t*xu y = yA + t*yu z = zA + t*zu By substituting everything we know from the enunciation: x = 2 + t*1 y = -4 + t*1 z = 1 + t*1 These 3…

**MATH**

**If the function f:(0; infinite)–>R f(x) = (1/2*ln^2x) prove that f is convex and find out…**

f(x) = (1/2)( lnx)^2 Solution: ln(x) < 0 when 0 < x < 1. Thefore ( lnx)^2 > 0 when for all x for which 0 < x <1. At x = 1, lnx = 0 and so ( lnx)^2 > 0 Again lnx > 0 when…

**MATH**

**What kind of triangle has the relations between a, b, c, sides: (3^1/2)*a – (3^1/2)*b = c a + b…**

For the triangle we assume that the sides are a, b and c. We are given : (3^1/2)*a – (3^1/2)*b = c and a + b = (3^1/2)*c a + b = (3^1/2)*c => c = a / (3^1/2) + b/ (3^1/2) So (3^1/2)*a -…

**MATH**

To solve [x^2 + x + 1] = x + 1, first lets bring all the terms to one side, => x^2 + x + 1 – x -1 =0 => x^2 = 0 => x = 0 Therefore the the given equation the only solution is x=0.

**MATH**

**Solve the inequation: x^2-4x-12>0**

We have to solve the inequation: x^2 – 4x – 12 > 0 First let’s solve the quadratic equation x^2 – 4x – 12 = 0 => x^2 – 6x +2x -12 =0 => x(x-6) + 2(x -6) =0 => (x+2)(x-6) =0 Now for x^2…

**LAW AND POLITICS**

**Should Canada become a republic?**

I’m wondering what prompted this question–the assumption that what they’re doing is wrong and something else would be better, I presume. I see no evidence whatsoever (other than the much-touted…

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**PERSUASION**

**How does rationality amplify the persuasion theme in Jane Austen’s novel, Persuasion?**

Throughout Persuasion, Anne Elliot observes just how irrational others are around her, regardless of how rational the characters think they are. We especially see rationality, or irrationality,…

1 educator answer

**LITERATURE**

**Explain in detail the character of Anna and Gurov in The Lady with the Dog by Anton Chekhov.**

What follows Gurov’s decision is both simple and remarkable. Arriving in the city of S–, Gurov eventually manages to meet the astonished Anna at the theater one night. They both admit that they…

**LITERATURE**

**Are practical criticism and new criticism the same? If not, then what is the difference between…**

Practical Criticism was devised by a professor named I. A. Richards at Cambridge University in the 1920s. The term “New Criticism” was used in the United States to refer to essentially the same…

1 educator answer

**BUSINESS**

**Why doesn’t a monopoly firm produce in the inelastic portion of demand curve?Anu Singha**

The basic answer to this is because if they produce a quantity that puts them in this portion of the demand curve, they will not maximize their profit (or minimize their loss). This is true for…

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**MATH**

**(X, Y) is equidistant from (0,4) , (4,2) and (6,3). What are X and Y?**

The distance between any two points (x1, y1) and (x2, y2) is given as: sqrt [(x2- x1) ^2 + (y2- y1) ^2] We use this to find the distance between (X, Y) and (0, 4). This should be equal to the…

**MATH**

**What is the general equation of an ellipse and how can we say that it is a circle?**

The equation of an ellipse is a locus of a point that moves in such a way that the ratio of it distance from a fixed point to its distance from a fixed line is less than 1. The fixed point is…

**MATH**

**What is the area of the triangle formed by the points (0,5) ( 8,2) (0,16)?**

The triangle we are given has the vertices as (0, 5) (8, 2) and (0, 16). Now the length of the side between (0, 5) and (0, 16) is 11. If we draw a perpendicular from (8, 2) to this line it…

**MATH**

**Given the system of equations 8x+7y+4=0 and 2x+9y+1=0, find x and y.**

Solving the given system of equations: 8x+7y+4=0 …(1) 2x+9y+1=0 …(2) (1) – 4*(2) => 8x+7y+4 – 4*( 2x+9y+1) = 0 => 8x + 7y +4 -8x -36y -4 =0 => y =0 Substituting y = 0 in 8x+7y+4=0…

**MATH**

**Where do the lines x+4y=7 and 5x+2y=10 intersect?**

Let’s assume the two lines intersect at (x, y). Now x+4y=7 => x = 7 – 4y 5x+2y=10 => x = 2 – (2 /5)y Equate the values of x obtained from the two equations: 7 – 4y = 2 – (2 /5)y => 35 -…

**TO KILL A MOCKINGBIRD**

**Where are the courthouse and town square located?This is for my English homework: I have to…**

While the exact location is never completely specified in the book, it is usually assumed the the courthouse is at the very center of the town square (traditional cities and towns are nearly always…

2 educator answers

**BLESS ME, ULTIMA**

**What is the effect of the priest’s stand on Tenorio and the townspeople?**

I’m assuming you mean in Chapter 13, where the Priest at El Puerto tells Tenorio that one of his daughters who has died cannot be given a Christian burial and a funeral mass. The Priest believed,…

1 educator answer

**MATH**

**Determine the remainder when P(x)=x^5-2x^3+3x-3 is divided by x^3-x using the Remainder…**

P(x) = x^5-2x^3+3x-3. To find the remainder when divided by x^3-x. x^3-x = x(x^2-1) = (x)(x-1)(x+1). So we can pressume that the remainder is of the form ax^2+bx+c a second degree expression…

**BLACK BEAUTY**

**What literary elements are used in Black Beauty?**

While Ann Sewell’s Black Beauty became famous for the poignant story of a beautiful and gentle horse as well as the novel’s effecting the promotion of humane treatment of horses, the most salient…

1 educator answer

**MATH**

**Evaluate the numbers. X+46/7=46 Y*4/5=45 -12-(-60)+x=72**

1) You need to bring the terms to a common denominator, such that: x+467=46⇒7x+46=46⋅7x+467=46⇒7x+46=46⋅7 Isolating the term that contains x to the left side, yields:

1 educator answer

**MATH**

**Is there any easy way to find prime numbers? I need it for a small assignment.**

One method of finding prime numbers from 1 to N is by using one developed by Eratosthenes. Here we write the numbers from 1 to N the form of a table. First, we take the number after 1, this is 2…

**MATH**

**Convert 10111 to a form with base 3 and base 4?**

To convert 10111 into base 3 and base 4 system. We presume that 10111 is a decimal number. 3)10111 —————- 3)3370 ………….1 remainder r1 —————– 3)1123…………… 1 ,…

**MATH**

**A and B are two binary numbers, A= 101010 and B= 110101, what is their sum?**

When numbers are expressed in the binary notation each digit from the right to the left is raised to a power of 2 by one more than the previous digit and this starts from 0. So, A= 101010 = 0*2^0+…

**MATH**

**If the diagonals of a rectangle meet at 60 degrees, what can be said about the sides of the…**

In a rectangle the diagonals are equal in length and they bisect each other. Now if we consider the rectangle given to us as ABCD and the point of intersection is F. We assume that the length of…

**MATH**

**If 40 students in a class get marks that are an AP, what is the sum of all the marks, if the…**

In an arithmetic progression or AP the difference between consecutive terms is constant. The nth term of an AP is given by a+(n-1)d where a is the first term and d is the common difference. Also…

**THE OUTSIDERS**

**outsiders moviehave you ever seen outsiders the movie?patrick swayze is dead**

I agree. The book almost is always better than the movie. Books allow us freedom of imagination. We can picture what the character looks like; movies tell us what the character looks like. We can…

2 educator answers

**BENJAMIN FRANKLIN**

**What three reasons does Franklin give for agreeing to the constitution?**

I’m not sure what you’re reading in class which prompts this question, but I’m answering from Ben Franklin’s speech before the Constitutional Convention in 1787. He clearly had some reservations…

1 educator answer

**THE CRUCIBLE**

**What does Elizabeth Proctor learn about herself?**

Elizabeth actually learns many things in Arthur Miller’s The Crucible. Her husband John had an affair with their former servant Abigail. Elizabeth finds out about it, confronts John, and then…

2 educator answers

**SCIENCE**

Hemophilia is a blood disorder that is almost always inherited, although other certain health factors can cause similar symptoms. The main issue with hemophiliacs is that their blood refuses to…

2 educator answers

**SCIENCE**

**Do animals go into a coma when they hibernate?**

A coma is a state like a deep sleep when the anatomic functions like breathing, digestion, eliminating wastes, maintenance of a normal blood pressure and the alike continue but the patient has no…

**SCIENCE**

**What happens when animals hibernate?**

Some animals hibernate to protect themselves from the extreme conditions presented by their environment. Prior to hibernating these animals eat a lot of food which is stored in their body as a…

**SCIENCE**

**What are two examples of symbiosis?**

Symbiosis is simply defined as a very close relationship between two different species of organisms. There can be many different types of symbiosis. In some types of symbiosis, the two species…

1 educator answer

**SCIENCE**

**Can plants survive in salt water?**

While most plants cannot survive in salt water, there are plants that can. One example of a type of plant that can survive in salt water is something called a marine seagrass. I have attached a…

1 educator answer