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ESL/EFL/FLES/Foreign Language TeachersI'm assuming you've tried Google searches. Most sites charge money, although you can get some lessons for free. Youtube has lessons. However, as a learner, you are not in a position to evaluate...

MathWe are given that the points (1,2) and (0, 3) are on the graph of f(x)=ax^2+x+c. We can write the following equations: 3 = a*0 + 0 + c = c and 2 = a +1 +c = a + c + 1 Now from the first equation...

MathWe have to find the equation of a circle with center (0,0). The circle touches the line 5x  12y = 52. So the line is a tangent. The radius of the circle is the distance from (0,0) to the line 5x ...

MathWe have to find the sum 1/[1+x/(y+z)]+1/[1+y/(z+x)]+1/[1+z/(x+y)] 1/[1+x/(y+z)]+1/[1+y/(z+x)]+1/[1+z/(x+y)] => (y + z)/(x + y + z) + (z + x)/(x + y + x) + (x + y)/(x + y + z) => (y + z + z +...

MathIt is given that 18 added to x gives y => 18 + x = y Also, 18 multiplied by 4x gives y^2 => 18*4x = y^2 Now substituting y = 18 + x in 18*4x = y^2 => 18*4x = (18 + x)^2 => 72x = 18^2 +...

ReferenceI think that this is one area where the internet has become so dominant. It used to be that people could go to a travel agent or some other booking resource and be able to find a cheap hotel or...

MathWe have the digits 3, 4, 5, 6, 7 and 8 and we need to create numbers greater than 1200. Now, any number formed with four of the digits is greater than 1200. Also any number containing all the 5...

MathWe have to solve the equation sin x  (sqrt 3)cos x = 0 for x in the interval [0;2pi) sin x  (sqrt 3)cos x = 0 => sin x = (sqrt 3)cos x => tan x = sqrt 3 => x = arc tan (sqrt 3) => x =...

Law and PoliticsRights for these properties vary under law mostly because of the nature of these properties. Real and personal property are tangible goods that can be materially affected by actions. On the other...

MathLet the line ax+ by + c = 0 join the points Q and R and pass through P. Let ax + by + c intersect x  2y4 = 0 at Q(x1, y1). Let ax + by + c intersect x +y  5 = 0 at R(x2, y2). As P is equidistant...

MathWe have to solve 2x^4  11x^3 + 23x^2  19x + 5 = 0 2x^4  11x^3 + 23x^2  19x + 5 = 0 => 2x^4  3x^3  8x^3 + 12x^2 + 10x^2 + x^2  15x  4x + 5 = 0 => 2x^4  3x^3 + x^2  8x^3+ 12x^2  4x +...

MathThe value of `lim_(x>0)(sqrt(1+x)  1)/(3*sqrt(1+x)  1)` can be found by substituting x with 1. Doing so gives: `(sqrt(0+1)  1)/(3*sqrt(0+1)  1)` =>`(1  1)/(3  1)` =>` ` `0/2` =>...

MathAn odd function is one where f(x) = f(x). Here it is given that both f(x) and g(x) are odd functions. This means f(x) = f(x) and g(x) = g(x) fog(x) = f(g(x)) fog(x) = => f(g(x)) as g(x)...

The Legend of Sleepy HollowMy guess is that it was for what you call 'economy of effect'  that is to say that within a limited frame (the length of the film in this case), making the character profile (Icabod's in this...

MathSam uses fencing to divide the garden into 16 squares each with dimensions of 1m * 1m. She also puts fencing around the perimeter of the garden. The least amount of fencing required would be when...

HatchetThis is going to be a matter of opinion. I think that several arguments can be made for different points where Brian most resembles into a mature "man." For me, I would say that the development...

Cinema and DramaJohn Carpenter’s 1978 horror film Halloween is considered the precursor to an entire industry of preposterous “slasher” films, in which a psychotic killer methodically works his way through a group...

MathLet the length of the side of the square be S. Now the perimeter is given by 4S and the area if given by S^2. We cannot say that area is 60 more than the perimeter as they have different units. We...

ScienceThe Hubble galaxy classification scheme is subjective, but: (1) A spiral galaxy with a small bulge is a lenticular galaxy. (2) A galaxy shaped like a cigar is an elliptical galaxy. (3) A galaxy...

HistoryAre you trying to argue that the Aztecs "dominated" their subjects because of the human sacrifice? Or are you trying to say that the Aztecs themselves were "decimated" (had their population...

MathWe have to solve sin x + x = 0 sin x + x = 0 subtract x from both the sides => sin x = x Now the only solution for this can be x = 0 as 0 = 0 and sin 0 = 0. For no other value of x is sin x =...

HistoryBury My Heart At Wounded Knee is full of very famous historical events. The film opens with the Battle of Little Bighorn, where Custer and his 7th cavalry were slaughtered by the Sioux under Crazy...

BusinessAccording to 35, U.S.C, 101, Whoever invents or discovers any new and useful process, machine, manufacture, or composition of matter, or any new and useful improvement thereof, may obtain a...

MathWe have to solve the equation 3*sin(x/2) = 3*cos(x/2) for values of x in the interval [0, 2*pi] 3*sin(x/2) = 3*cos(x/2) => sin(x/2)/cos(x/2) = 3/3 => tan (x/2) = 1 => x/2 = arc...

Employee MotivationThere are a number of things that businesses can do to try to motivate their employees. Of course, not all things will work to motivate all employees since individual people are different from one...

Social SciencesSo you are asking if companies should hire the people who are best qualified even if that means they only hire white men? If so, I think that that is appropriate so long as they have objective...

MathThe nth term of an arithmetic progression with the first term equal to a and the common difference equal to d is given by Tn = a + (n1)*d The man saves 32 in the first year and increases the...

Elementary TeachersCivil service codes vary from state to state in the United States. But even without any knowledge of a particular code, I think it is safe to say that distinguishing a pregnant teacher from any...

Waiting for the BarbariansThe old adage that "power corrupts, and absolute power corrupts absolutely" seems to me to make a lot of sense. We are extremely imperfect creatures, and giving too much power to any single one of...

Shakespeare: A Life in DramaFor one thing, if your essay is to be a critical essay, then you will want to consider how the sonnet that you select relates to the other sonnets of Shakespeare. For instance, there is a...

Julius CaesarThe basis of Shakespeare's play Julius Caesar is based upon the conflicts of those in his kingdom who, for one reason or another, do not want Caesar to be crowned king. I can only answer one...

Doctor FaustusThe best first place to get a complete text of Marlowe's Doctor Faustus is right here on eNotes: eText of Doctor Faustus. Of course, the Gutenburg Project has thousands of classic texts. After...

Joseph ButlerAccording to Joseph Butler's Fifteen Sermons preached at the Rolls Chapel, there is a specific text within that refers to "Altruism and SelfLove" (1726) Joseph Butler defines selflove as the...

MacbethAccording to Aristotle, a tragic hero must possess all of the following qualities, which Macbeth does not. 1. The tragic hero must possess a great character and he must fall from a high standing to...

Mathweight of Floppy the rabbit = 1.2 kg Increase in weight = 7% of weight = 7/100 x 1.2 = 0.084 kg New weight = old weight + increase in weight = 1.2+ 0.084 = 1.284 kg So the new weight is 107% of...

The Red Badge of CourageHenry begins the story as a young man, naive and selfcentered, his primary goal in fighting in the war being to bring himself glory and immortality. He's not especially interested in the issues...

HistoryIda B. Wells (also known as Ida B. WellsBarnett), began a onewoman crusade because of the fact that lynching was a major problem in the South. We can attribute her crusade to two main things....

Narrative of the Life of Frederick Douglass, an American SlaveFrederick was a house servant in Baltimore. This meant that he would do all the things that a butler might do—clean, wait on his masters/owners, etc.—as well as things a handyman might do, like fix...

HistoryRousseau's discourse on equality was really more centred on the origins of inequality and was a seminal work of philosophy which still influences French (and world) society up to this day. He held...

In the Time of the ButterfliesThis is Patria Mercedes, as a young teenager at Imaculada School, talking to Sor Asunción. The Sister is trying to counsel Patria, who is a model student at the school, to hear the call of God....

PoetryThe snowman is a metaphor. There is really no reason to steal a snowman. A snowman is a ridiculous thing to steal, and it also represents the whimsy of childhood. By using the metaphor of the...

The Killer AngelsHad the Union army decided to pursue the retreating Confederates immediately and in large numbers, they almost certainly would have destroyed Robert E. Lee's Army of Northern Virginiahad they...

PygmalionInteresting question! I'm not sure why we'd want to build a temporary upper class society at all  Shaw's play "Pygmalion" seems to me infinitely more interested in how the way someone...

Fever 1793Honestly? I think it isn't intended as symbolic a lot of the time. I think that whenever it is used in reference to yellow fever, it is literal. That's for the most part. It refers to the way the...

MacbethThe defining of Macbeth as a successful tragedy depends upon the definition of tragedy one uses. First, according to one definition, a tragedy is a dramatic composition, often in verse, dealing...

BusinessGDP or gross domestic product is the total value of all goods and services produced in the economy. Usually the term GDP refers to nominal gross domestic product, the qualifier nominal is used to...

Essay LabWao has a lot of backup here on Enotes and even previous answers posted by other college folks can help you decide your main theme. I always tell my students to get 10 key words, 10 references, 10...

Life of PiIt's not entirely clear but I think the island is most likely an allegory of the Garden of Eden. The whole story reads something like a biblical narrative, and the carnivorous island can be viewed...

HistorySorry. Please delete!

Lord of the FliesRalph begins the novel a straightforward , sensible young man. He believes that structure and organization are key to their survival and rescue.As the novel progresses,, Ralph loses some of his...