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MathTo solve, apply the formula of finding the nth term of an arithmetic sequence which is: `T_n=T_1 + (n1)d` where Tn is the nth term, T1 is the first term, and d is the common difference. Since the...

MathWe are given ray BC is perpendicular to line AE. Ray BD is in the interior of angle CBE. Angle CBD is adjacent to angle DBE; so we know angles CBD and DBE are complementary. (If the exterior sides...

ScienceStates of matter are generally classified as solid, liquid, gas and plasma (so we remove metal in the choices). One of the factors that allow them to have the characteristics is how the molecules...

BusinessPorter’s analysis refers to Porters five principles for strategic business development. The analysis tools used by the five principles help determine an organizations overall market position and...

MathFind the inverse for `f(x)=6/(x+7)` : `y=6/(x+7)` Exchange x and y: `x=6/(y+7)` Now solve for y: `y+7=6/x` `y=6/x7`  So `f^(1)(x)=6/x7`...

Dialogues Concerning Natural ReligionIn terms brief enough to guide and fit within eNotes space and objectives, Hume would find some agreement with Voltaire. In Dialogues, Hume explores questions of the proofs of the existence of God...

MathFollow the steps 1)4) 1) First expand out the bracketed term: `x1 (x1)^2 = x 1  (x1)(x1) ` `= x  1  (x^2  x  x + 1)` `= x  1  (x^2  2x + 1)` 2) Now gather terms: `x  1  (x1)^2 =...

To Kill a MockingbirdOnly Boo knows for sure. We do know that Boo was watching over Jem and Scout on the Halloween night when they were attacked by Bob Ewell. Boo came to their rescue, killed Bob, and then carried Jem...

Math`[[4,7,6],[5,6,3],[5,1,9]][[3],[2],[5]]` `=[[121430],[1512+15],[15245]]` `=[[56],[18],[32]]` ``

ScienceWe simply divide the longer wavelength by the shorter wavelength: `800/32 = 25` However, if you want to know the energies, and why the above solution is justified, we can first solve for the...

Math(3x+2y1)(xy) Distributive property means you must "distribute" the term, in this case (xy), between the 3x + 2y  1. Thus: 3x(xy) +2y(xy)  1(xy) = `3x^2y + 2xy^2 xy`

MathFor part a, the terms are 6b(2a  3c) and 5d(2a  3c). Therefore, gcf is (2a  3c). We can set it up like this: 6b(2a  3c)  5d(2a  3c) = (2a  3c)(____ + _____). For the first blank, we divide...

Math`A=[[4,8],[5,k]]` matrix A is invertible if A`!=0` `4k5.8!=0` `4k!=40` `k!=40/4` `k!=10`

HistoryOverall, the main effect of Progressivism was to establish that government could play a role in reforming society. Many reforms proposed by nineteenth and early twentieth century Progressives were...

MathWe use here four formulas. sin(2a)=2sin(a)cos(a) sin(a)+sin(b)=2sin((a+b)/2)cos((ab)/2) cos(2a)=2cos^2(a)1 and sin(90a)=cos(a) `we have` `sin(24)cos^2(18)+sin(36)cos^2(12)=cos(12)sin(72)`...

MathYou need to use the exponential laws, that helps you to evaluate the given exponential expression``, such that: `y^x*y^(x) = y^(x + (x)) => y^x*y^(x) = y^0 => y^x*y^(x) = 1` Raising to...

Law and PoliticsThe Bureau of Justice Assistance (BJA) survey defines regular drug use as taking drugs once a week or more often than once a week. BJA defines regular alcohol use a little differently: it is...

The FleaThe Flea is a lyrical poem in which a man tries to persuade a woman to become intimate with him. The poet, who is the narrator as well, uses a flea that has bit, both, the poet and his love...

MathTwo points (a,3) and (5,b) are the opposite vertices of a rectangle.If the other two vertices lie...We know that the diagonal of the rectangle intercepts at the mid point of each diagonal as well as mid point of triangle. If the mid point is M (p,q) then using points (a,3) and (5,b); `p =...

One Flew Over the Cuckoo's NestThe first person narration is one clue to the answer to this question. Even though McMurphy manages to shake things up at the hospital, allowing some of the patients to stand up for themselves and...

Math`F=(W/u)sin(theta)+cos(theta)` `(dF)/(d theta)=(W/u)cos(theta)sin(theta)` `(dF)/(d theta)=0` `(W/u)cos(theta)=sin(theta)` `tan(theta)=(W/u)` `theta= tan^(1)(W/u)` `` ` `

HistoryAs a Canadian, I believe, for the most part, our loyalties in relation to nation revolve around the idea that we should be a strong independent country that has a productive place on the global...

ScienceWhen a chemical is dissolved in a solvent, the concentration of the solution can be measured by the amount of the solute divided by the volume of the solution. The most common concentration...

MathWe need to isolate the "x" on left side. The 4 is being subtracted from left side. So, we will use the opposite operation of Subtraction, which is Addition. Add 4 to both sides. `x  4 + 4 = 21 +...

Math(1) `a(x^2+1)=(a^2+1)x` `ax^2+a=(a^2+1)x` `ax^2(a^2+1)x+a=0` Use the quadratic formula: If `ax^2+bx+c=0` then `x=(b+sqrt(b^24ac))/(2a)` Here `a=a,b=(a^2+1),c=a` so...

The Other Side of TruthThis is a very disturbing book in many ways, as the realities of life as an asylum seeker are presented in very graphic terms. Perhaps one of the most shocking examples of difficult and disturbing...

EconomicsWhen the Group of Eight (G8) was originally formed in 1975, it was actually the Group of Six, including the United States, Great Britain, France, West Germany, Italy and Japan. At that time, these...

MathYou need to find the function `f(x)` , such that: `(dy)/(dx) = 6x*e^(x^2)` Separating the variables, yields: `dy = 6x*e^(x^2) dx` Integrating both sides, yields: int dy = int 6x*e^(x^2) dx `y =...

MathTo make the distance graph more realistic add curves as abrupt changes in speed are not common in practice. Here we could have an Scurve from 0s 17s and a parabola from 17s40s whose maximum is...

Math100% of 75 = 75 therefore 200% is double that (x2) = 150 or you could add 75+75=150 to get the same answer The question asks for an answer when 75 is increased by itself so the 150 needs to be...

World War IThere are at least two different ways to look at American entry into this war. First, we can say that it came about for idealistic reasons. President Wilson said that it was a war “to make the...

Heart of Atlanta Motel v. United StatesThis case is connected to the Constitution because it held that the Commerce Clause of the Constitution can be used by Congress to justify banning racial discrimination in public accommodations. In...

Crime Scene InvestigationBecause a crime scene will not stay static or untouched, the investigator must be sure to process everything. To create such a checklist for a new investigator would be a great help to everyone....

Math`(cosxsinx)/(2cosx+1) >=0` `cosx sinx >=0` `tan x<=1` `3/4 pi<= x<= pi/4` On the other side: `2cosx+1>=0` `cosx>= 1/2` `2/3pi <= x<=2/3 pi`...

The Beggar's OperaAs could be expected from an "opera" inspired by Jonathan Swift  he of "modest proposal" fame  "The Beggar's Opera," by John Gays is a biting satire of the English upperclass and its...

MathYou need to evaluate the limit of the given definite integral, hence, you need to evaluate the definite integral, such that: `int_0^3 1/(x  a + 3) dx` You need to use the absolute value...

Political ScienceAlthough we cannot know for sure at this point if a change in the party system has occurred, I would argue that the subprime mortgage crisis did not cause any such change. First, I will argue that...

Math`int(2x^2 +20x+44)/ (x^2 +7x+ 12)dx` Since both numerator and denominator have a degree of 2, we may simplify the integrand by dividing them. `2` `x^2+7x+12``bar(...

MathTo solve for the price of the gas three weeks from now, determine the amount of increase. To do so, multiply the rate of increase (dollars/week) and the number of weeks. Amount of Increase...

PhysicsWhen a beam of light passes from one medium to another the beam bends if the two mediums do not have the same refractive index. If the angle of incidence is A and the angle of refraction is B, the...

Marshall, ThurgoodLarry Gibson's biography of the late Supreme Court justice and civil rights activist Thurgood Marshall emphasizes Marshall's dedication and commitment to the cause of civil rights for...

MathYou need to solve for t the following quadratic equation, such that: `(4.9)t^2 + t + 35 = 25 => (4.9)t^2 + t + 35  25 = 0` `(4.9)t^2 + t + 10 = 0` Using quadratic formula yields: `t_(1,2) =...

Criminal JusticeThere are at least two reasons for which eyewitness testimony is important to investigators. One has to do with the process of investigation while the other has to do with winning the case in...

Chicago PoemsCarl Sandburg was the perfect poet to write a poem about the city of Chicago in 1914. Sandburg, in fact, did write a nowclassic poem about Chicago in that year. Sandburg grew up in Illinois, the...

NeurophysiologyThe entire nervous activity is based on reflexes, the functional units of the nervous system. A reflex may be defined as an immediate and rapid response given without our awareness by an effector...

HistoryThe Cold War, for all its intrinsic dangers involving the potential for largescale nuclear war and the consequent decimation of Europe and the United States, provided a stabilizing structure that...

MathThe equation of a circle with center (h, k) and radius r is (x  h)^2 + (y  k)^2 = r^2. For the given circle (x2)^2 + (y+3)^2 = 25 => (x2)^2 + (y  (3))^2 = 5^2 h = 2, k = 3 and r = 5 The...

MathTo simplify these expressions, apply these three properties of exponents which are: `(a/b)^m=a^m/b^m ` , `(ab)^m=a^mb^m` and `(a^m)^n=a^(m*n)` . (A)...

Shakespeare's SonnetsThe narrator is speaking of the intense desire when love turns into infatuation. It is a dangerous time, when a person can turn against his or her self. Desire is death, which physic did...

MathThe limit `lim_(x>3) sqrt(x^2  9)/(x  3)` can be determined in the following way. `lim_(x>3) sqrt(x^2  9)/(x  3)` = `lim_(x>3) sqrt((x  3)(x+3))/(x  3)` = `lim_(x>3)...