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MathSimplifying `1/3x2/3y2/5x+4/7y` by combining the like terms gives: `1/3x2/3y2/5x+4/7y` = `x(1/3  2/5) + y(2/3 + 4/7)` = `(1/15)*x (2/21)*y` `1/3x2/3y2/5x+4/7y = (1/15)*x (2/21)*y`

MathSince the problem provides the information that the system has not only the trivial solution, hence, the determinant of matrix, `Delta` , of system needs to be equal to zero because if it is not...

Half a DayThe way to start writing a research paper on this excellent short story would be to identify one central theme or meaning depicted in this tale that you feel confident enough to write about. The...

GrammarA compound sentence is made of two separate sentences, or two independent clauses. An independent clause has all of the components of a sentence. It contains a subject, a verb, and a complete...

African AmericansIt may actually be more accurate to say that the church was the institution, rather than “an institution,” that provided African Americans with mutual support and a “comfortable place” in...

Vietnam WarMy text mentions the high morale of nurses and their contributions to providing the finest combat...There are two main reasons why nurses and other such personnel might have had high morale during the Vietnam War. One has to do with the nature of the work they were doing and the other has to do...

Mathwe know the following rule from trigonometry. `sin(90theta) = costheta` `x+20 = 90(70x)` `sin(x+20) = sin(90(70x)) = cos(70x)` `sin(x+20) = cos(x10)` `cos(70x) = cos(x10)` Since...

Math`5x_1+9x_240x_3=102x_476x_5=9x_2+30x_440x_5` `5x_1+9x_240x_3102x_4+76x_5=0` `9x_272x_4+36x_5=0` `5x_140x_330x_4+40x_5=0` Find the a basis for the set of equations.So form a matrix, with...

Law and PoliticsThose who have been conferred with the responsibility of neutral competence may be in ethical conflict with the theory of democratic accountability. Neutral competence is the principle that...

MathYou need to evaluate the following limit, such that: `lim_(n>oo) (sum_(k = 1)^n (k!(k^2 + k + 1)))/((n+1)(n+1)!)` You may replace `(k + 1)^2  k` for `k^2 + k + 1` such that: `lim_(n>oo)...

Social SciencesThere are several possible reasons why a person may be tired. First and foremost, a lack of sleep can be the most obvious. However, not everyone realizes that they are lacking in sleep as they do...

Social SciencesThe major argument for the idea that we should not rock the boat is that we should not be too arrogant about our own powers of judgment. If we rock the boat, we are essentially claiming that we...

Julie of the WolvesKapu brought Julie (Miyax) food, in the form of a caribou leg. Kapu protected Miyax by bringing her a gift of food. Miyax was alone, making the difficult trek on only what small animals could be...

GrammarCommas have several jobs to do in the English language, and one of its most important jobs, according to “reader response theory,” is to prevent confusion for the reader as the eyes travel...

Math`2/(b2) = b/(b^2  3b + 2) + b/(2b2)` Factor each denominator in order to be able to find the least common denominator: `2/(b2) = b/((b1)(b2)) + b/(2(b1))` The common denominator is 2(b1)(b...

MathThe equation given is in the form V = a * b^y where a = original value of the car, b = rate of depreciation, and y number of years. So, for the first question rate of depreciation is 0.85 or...

Social SciencesThere are two main “enduring vulnerabilities” that come with being the world’s only superpower. First, there are vulnerabilities in terms of the cost of being a superpower. These include...

eNotes Educators GroupI think reaching out to teachers is a good way to bring in more teachers. I think sending out emails to teachers in school districts might be a good thing because my experience is that teachers do...

ScienceThere are several forms of phosphorus. White phosphorus is one which contains `P_4` molecules (4 molecules) . The presence of individual molecules prevents any possibility of electrons flowing,...

RikkiTikkiTaviThe description "flat character" is used to describe those characters in a story that are not given any depth of development. The reader generally meets such characters only briefly, and sees only...

Pride and PrejudicePride and Prejudice famously begins with the lines, "It is a truth universally acknowledged, that a single man in possession of a good fortune must be in want of a wife." Similarly, Austen...

The Lady or the Tiger?The king is semibarbaric at the beginning of the story, and remains semibarbaric at the end because he makes his daughter’s lover take the test in his arena. The king is described as...

One Flew Over the Cuckoo's NestIn classic tragedy, catastrophe results from conflict involving the hero and opposing forces. The...In One Flew Over the Cuckoo's Nest, the novel definitely fits the classic definition of a tragedy. The hero is McMurphy who is doomed because of his pride in his own strength of defiance and...

Crime Scene InvestigationPersonality theory, as proposed by scholars and psychologists such as Freud, Erickson, Eysenck, Allport, and Maslow (among a myriad of others), entails that each individual possesses a number of...

Dead Man WalkingHere is a quote from Sister Prejean that demonstrates her ability to LISTEN to people, empathize, and reflect. It is the perfect example of how she puts aside her own upbringing, focuses on the...

MathSupposing that the problem provides the lengths of the sides of triangle, you may use Heron's formula to evaluate the area of triangle such that: `S =...

The Imaginary InvalidArgan is the main character of the play. Many times throughout the play we see him used and taken advantage of by his doctors, his maid and his wife. He is a grandiose character that often erupts...

LeadershipChange leadership is the process of leading an organization through a major change. For example, if a business has to completely redo its business model, the leader who is in charge during that...

MathThe investment is $20,000 and it earns 1.8% annual interest rate compounded semiannually. How much interest after 3 years? Let P be the principle  then the amount of interest I is given by:...

Vietnam WarThe Hmong, who lived mostly in the mountainous regions of Laos, were fiercely protective of their autonomy, especially their culture, which they perceived as being threatened by the spread of...

MathA = [[1,3,4,1],[5,4,13,7],[4,4,8,8],[0,3,9,2]] `A=[[1,3,4,1],[5,4,13,7],[4,4,8,8],[0,3,9,2]]` rref of A say B=`[[1,0,5,0],[0,1,3,0],[0,0,0,1],[0,0,0,0]]` column space of...

MathThe following system of linear equations has to be solved: 3x  4y + 1 = 0 ...(1) 9x  7y = 15 ...(2) (2)  3*(1) => 9x  9x  7y + 12y  3 = 15 => 5y = 18 => y = 18/5 7*(1)  4*(2) =>...

SentencingThe main way in which we can argue that minimum sentencing is unjust is to say that different cases call for different punishments. It is, therefore, not really possible to maintain justice while...

ScienceA generator starts with ________ energy and is surrounded by _______. A magnet moving near a wire...A generator starts with mechanical energy and is surrounded by wiring. A magnet moving near a wire produces electrical energy. A Generator consists of wiring wound around a rotating armature that...

MathThe equation 2.5+x=0.7 has to be solved. 2.5+x=0.7 subtract 2.5 from both the sides x = 0.7  2.5 => x = 1.8 The solution of the equation is x = 1.8

Employee CompensationMerit pay systems work differently in different specific companies, but the basic idea of merit pay is the same in all companies. The general idea of merit pay is that employers identify certain...

The Ice PalaceWhen Sally Carrol meets Harry in the North, Harry tells her that northerners do not put the same amount of emphasis on family traditions as they do in the South. Perhaps tying in with her more...

VolcanoFrom what I can tell, a latholith is more commonly referred to as a laccolith. This is a geological formation that results from liquid magma rising through an underground crack in the Earth's...

The Presidents of the United States of AmericaThere were actually four presidents whose terms in office were technically in the 1920s. President Woodrow Wilson's second term ended in 1921. Wilson was followed by Warren G. Harding, who served...

ScienceThe precipitate is written as solid and hence non ionized. The reaction of NaCl and AgNO3 is a common example of a precipitation reaction. This reaction produces white precipitate of AgCl and NaNO3...

MathThe sample taken is a simple random sample (srs) so is representative of the population as a whole. If 1139 out of the 1201 Americans sampled were found to live in neighborhoods with acceptable...

MathThe value of x has to be determined given that `5  7/56 = x` . `x = 5  7/56` => `x = (280  7)/56` => `x = 273/56` => `x = 39/8` The value of `x = 39/8`

MathTo change a fraction (or a decimal) to a percent, multiply the by 100%. For example, to change `1/8` to a percent, multiply `1/8 * 100%=1/8 * 100/1 %=100/8 %=12 1/2% =12.5%`

MathThe x and y intercepts of the line given by the equation 3x  8y  45 = 0 have to be determined. Rewrite the equation of the line in the form `x/a + y/b = 1` where a and b are the x and y...

Death of a SalesmanThe tragedy of this play is shown by the way in which Willy Loman gives his entire life to a dream that proves to be nothing more than that: an insubstantial dream that ends up ruining his life. He...

Mrs. DallowayConfinement is permeates the plot as one of the central themes of Virginia Woolf's Mrs. Dalloway. It is a theme that applies not only to the eponymous main character and to the character of...

MathLet's first calculate our integral. `y=int_1^(x^2)sqrt(2t+4)dt=`` ` Now we use substitution `u=2t+4`, the we have `du=2dt=>dt=(du)/2`. We also must find new limits for variable `u.` For lower...

MathAnything in the span of `vecv` and `vecw` is of the form `a[[1],[4],[2]]+b[[3],[1],[1]]=[[a+3b],[4a+b],[2ab]],` so `[[x],[y],[z]]` will be in this span if and only if `x=a+3b,` `y=4a+b,` and...

ScienceIn order to solve for this, first we have to do the word equation for the reaction. `Copper + 6 M Nitric acid > unknown bluecolo red solution + Nitric O x ide gas` Solution of Copper (II)...

Math`e^(2x)=3x^2` Let us define f(x) as `f(x)=e^(2x)3x^2` `f'(x)=2e^(2x)6x` `f''(x)=4e^(2x)6` `f'''(x)=8e^(2x)` `f^n(x)=(2)^n e^(2x)` Expand in Taylor series about x=0 ,we have...