# Solve the system by elimination and check any solution algebraically. 2x-y=2 6x+8y=39

**ALGEBRA1**

**Solve the system by elimination and check any solution algebraically. 2x-y=2 6x+8y=39**

We have to solve the following by elimination 2x – y = 2 …(1) 6x + 8y = 39 …(2) 3*(1) – (2) => 6x – 3y – 6x – 8y = 6 – 39 => -11y = -33 => y = -33/-11 => y = 3 substituting y = 3 in…

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**ALGEBRA1**

**Find the real solution of the system 3x^2-2y^2=-5 xy=12**

This is a homogenous system and the first step is to eliminate the numbers alone. For this purpose, we’ll multiply the 1st equation by 12 and the 2nd equation by 5: 36x^2 – 24y^2 = -60 (3) 5xy = 60…

**WUTHERING HEIGHTS**

**Why was Hindley send to college in Wuthering Heights?**

It is in Chapter Five of this novel that we can find the answer to this question. As the health of Mr. Earnshaw begins to fail and the animosity between Hindley and Heathcliff becomes ever more…

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**CANDIDE**

**In Candide by Voltaire, what kind of narrator is Candide and can he be trusted?**

Candide is young and naive, making him the definition of the unreliable narrator. The reader cannot trust the unreliable narrator to convey correct information because the narrator himself does…

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**BUSINESS**

**What factors affect the business environment?**

When we talk about the “business environment” we are talking about a number of factors that affect all businesses in a certain country or area of a country. These factors tend to affect how easy…

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**A FAREWELL TO ARMS**

**Who is the antagonist in A Farewell to Arms? Does the antagonist require Lt. Henry to look at…**

Most usually in fiction an antagonist is a human character who opposes or works against the protagonist; however, sometimes an antagonist can be an entity, such as an organization or some type of…

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**THINGS FALL APART**

**Describe the killing of Ikemefuna in Things Fall Apart.**

It is in Chapter Seven in which this sad event in the novel occurs. Key men from the tribe come to the house of Okonkwo with a pot of wine, dressed in their ceremonial finery. They leave with…

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**ALGEBRA1**

**a1,a2,a3,a4,a5 are the terms of a g.p. log3 a1 + log3 a2 +…+ log3 a5 =2 . log3 (a5/a3) = -2…**

a1 , a2 , a3 , a4 and a5 are terms of a GP. So each term is equal to the previus term in the series multiplied by a common ratio. As log(3) a1 + log(3) a2 +…+ log(3) a5 =2, =>log(3)…

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**ALGEBRA1**

**How do you solve the system by the method of substitution? x^2-y^2=9 x-y=1**

We have to solve the following system of equations by substitution. x^2 – y^2 = 9 x – y = 1 x – y = 1 => x = 1 + y Substitute this for x in x^2 – y^2 = 9 => (1 + y)^2 – y^2 = 9 => 1 + y^2…

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**TO KILL A MOCKINGBIRD**

**In To Kill a Mockingbird, isTom Robinson aware of Mayella’s situation at home when he visits her?**

Yes. He has witnessed her abuse at the hands of her father, and has heard that Mr. Ewell considers Mayella the new “mother” of the household…including, but not limited to, intimate relations….

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**CHEMISTRY**

**How many molecules of hydrogen are formed in the following reaction: Solid sodium reacts…**

For sodium reacting with water we have the equation: 2Na (s) + 2H2O -> 2NaOH + H2 One mole of sodium reacts with one mole of water to give one mole of NaOH and half a mole of H2. The molar mass…

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**THE ADVENTURES OF HUCKLEBERRY FINN**

**What are the main themes in The Adventures of Huckleberry Finn in the first twenty-five chapters?**

Evasion is a central theme of the first twenty-five chapters of the novel. Huck opens the book narrating his experiences with the widow, which include occasional escapes back into nature. Huck…

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**SCIENCE**

**Consider the following reaction: 2H2S(g)+3O2(g) yields 2SO2(g) +2H2O(g). If O2 was the excess…**

To solve a problem like this, look at the coefficients of the balanced chemical equation. In this case, it tells you that for every two moles of H2S you react, you will produce two moles of HOH….

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**OTHELLO**

**What sort of person is Iago as he appears in Act I of Othello?**

I think that Coleridge’s description of “motiveless malignancy” is quite appropriate in describing Iago in the first Act. His entire presence has been motivated by prior acts and the reader’s…

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**MATH**

**What is the solution of the equation log15 [1/(3^x + x – 5)]=x*(log15 5 – 1) ?**

We have to solve log(15) [1/(3^x + x – 5)] = x * (log(15) 5 – 1). log(15) [1/(3^x + x – 5)] = x * (log(15) 5 – 1) => log(15) [1/(3^x + x – 5)] = x*log(15) 5 – x => log(15) [1/(3^x + x – 5)] =…

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**DUBLINERS**

**Compare the impact of enviroment on the individuals in the four stories “Eveline,” “The Boarding…**

Your question is too big and complicated to answer in this format, so I’ve edited it down to just a comparison. Environment is central to all of the stories in Joyce’s collection, Dubliners, and…

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**ALGEBRA1**

**Find x if (x^1/3)^(logx x^2 +2)=2log3 27**

(x^1/3)&(logx x^2 +2) = 2log3 27 We will use logarithm and exponent properties tp solve. First, we know that x^a^b = x^ab ==> x^(1/3)*(logx x^2 + 2) = 2log3 3^3 Now we know that log x^a =…

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**THE RIME OF THE ANCIENT MARINER**

**Assess “The Rime of the Ancient Mariner” as a ballad.**

A ballad in literature is a narrative poem that usually tells a dramatic story. Early ballads in English and Irish literature that were handed down orally are folk ballads; their authors are…

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**OTHELLO**

**What sort of person is Cassio? In Act II, what happens to him, and how does Iago plan to use the…**

One of the interesting things about the character of Cassio is that Shakespeare reveals it to us through the way others see him, almost as if he is just a reflection of what people want him to be….

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**ALGEBRA1**

**x^log2 x + 8*x^-log2 x = 6. What is x?**

We have to solve for x given that x^log2 x + 8*x^-log2 x = 6 x^log(2) x + 8*x^(- log(2) x) = 6 => x^log(2) x + 8/x^(log(2) x) = 6 Let x^log(2) x = y => y + 8/y = 6 => y^2 – 6x + 8 = 0…

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**JOHN KEATS**

**Explain 3 uses of imagery in the poem “On the Grasshopper and the Cricket” by John Keats. Explain…**

Imagery is the use of sensory details to create an image in the reader’s mind. Sensory details are descriptions that involve the five senses of sound, smell, touch, taste and vision. This poem…

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**ALGEBRA1**

**Solve the simultaneous equations x^(x^2-y^2+8x+1)=1, 2^y=8*2^x**

We’ll note the first equation: x^(x^2-y^2+8x+1)=1 (1) We’ll note the 2nd equation: 2^y=8*2^x (2) We’ll take natural logarithms both sides of the first equation: ln x^(x^2-y^2+8x+1) = ln 1…

**CALCULUS**

**Find the antiderivative of the function y=e^x*cos^2x .**

We have to find the integral of y=e^x*(cos x)^2. We use integral by parts. u = (cos x)^2 => du = 2 cos x * (-sin x) = -sin 2x dv = e^x dx => v = e^x u*v – Int v du Int [ e^x*(cos x)^2 dx]…

**CALCULUS**

**Prove that the result of differentiating arc tan (1-x^2) + arc cot (1-x^2) is 0.**

We have to prove that the derivative of arc tan (1-x^2) + arc cot (1-x^2) is 0. We know that the derivative of arc tan x = 1/[1 + (1-x^2)^2] and the derivative of arc cot x = -1 / [1 +…

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**THE HOUSE ON MANGO STREET**

**In The House on Mango Street, what is the vignette entitled “The House on Mango Street” about?**

It is interesting how this opening vignette actually introduces some of the main themes of the novel as a whole. Let us consider how it does this. Key to the novel is the experiences of an…

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**CALCULUS**

**Solve the derivative of expression: tan^2(ln(square root(4e^x+2x^2))) + cot^2(ln(square…**

We have the expression: tan( ln (sqrt (4e^x+2x^2)))^2 + cot (ln (sqrt (4e^x + 2x^2)))^2 We have to find the derivative of the expression. We use the chain rule and start from the innermost…

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**HAMLET**

**What idea does Shakespeare develop regarding the individual in the midst of conflict?This applies…**

I think Shakespeare develops the idea of the individual in the midst of conflict through Hamlet’s thoughts and words. This play is as much, if not more, about Hamlet’s existential debates with…

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**MATH**

**[Funny Math Art] Guess what’s…**

I don’t feel as if this is going to be especially helpful to you, but here it goes. I copied the image to a word document, and rotated it, looked at it from multiple angles, and etc. The best guess…

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**SCIENCE**

**Find the approximate age of the fragment in the following case:A fragment found in a cave…**

The half life of C-14 is 5730 years. In 5730 years, the amount of C-14 decreases to 1/2 the initial amount. In n*5730 years, the amount if C-14 left is given by (1/2)^n Let the age of the fragment…

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**HISTORY**

It would be difficult to designate any particular “talents” which Rousseau possessed, other than those of a great thinker and philosopher. He was by nature very suspicious to the point of being…

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**HISTORY**

**What was Rousseau’s biggest achievement?**

This one is going to be interesting. I would say that Rousseau’s biggest achievement is to be one of the first voices of intellectual complexity. Contrary to other thinkers in the Enlightenment…

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**PRIDE AND PREJUDICE**

**Discuss civility in Pride and Prejudice.**

Civility, or politeness, is a delicate topic in the novel Pride and Prejudice. It is presented as an expectation, rather than a choice, under the perspective of social rank and societal…

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**I AM LEGEND**

**In I Am Legend, how and why is the protagonist a legend?**

Legends have been defined as historically grounded fairy tales, folk tales and historical narratives with embellishments. A person is a legend if they stand out or if they perform incredible tasks….

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**RICHARD WRIGHT**

**Do stereotypes about groups still exist today? And which stereotypes does Richard Wright have…**

1) A stereotype is a commonly held belief about the characteristics of a group of people. For example, many people believe that all teenage boys are lazy and obsessed with video games. Some…

2 educator answers

**ECONOMICS**

**Examine the role of the European Union as a trading bloc.**

The European Union is more than just a trade bloc. A trade bloc is created to make it easier for cross-border trade between members of the trade bloc. This is done by eliminating tariff and…

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**THE LOVE SONG OF J. ALFRED PRUFROCK**

**How is the stream of consciousness exemplified in “The Love Song of J. Alfred Prufrock”?**

Given that the main character of the poem is having a dramatic monologue in which he is analyzing himself and the situation that he is in, such monologue becomes the stream of consciousness in the…

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**THE RED BADGE OF COURAGE**

**Discuss the motive of heroism in The Red Badge of Courage.**

One of the ways that the approach to courage and heroism in The Red Badge of Courage is so powerful is that Henry does not immediately accept his role as a hero or even as a brave soldier. The…

1 educator answer

**SCIENCE**

**Can bone spurs be removed without surgery?Natural remedies.**

Since surgery for plantar fascitis (or bone spurs) can result in nerve damage, most people prefer to try other methods first. Various treatments include rest massage therapy stretching night…

1 educator answer

**REFERENCE**

**What is the definition of dignity?**

Dignity is a person’s right to be treated like a human being. When we talk about human dignity, we mean human rights. If people are treated with dignity, they usually have the right to make…

5 educator answers

**HILLS LIKE WHITE ELEPHANTS**

**Is abortion a theme in “Hills Like White Elephants”?**

Well, interesting question, because the answer to this is that yes, abortion is definitely a theme, but I would argue it is linked to the far bigger theme of how the partner subtly forces Jig to…

1 educator answer

**LAW AND POLITICS**

**Is it good that private security officers don’t have to issue Miranda Rights to a suspect prior…**

The answer to this depends to some extent on whose sake we are talking about — in other words is it good for whom that private security officers don’t have to do that? You could argue that it is…

4 educator answers

**ESSAY LAB**

**I need help writing a personal essay that has something to do with communication and how it…**

The greatest part about a “personal” essay is that it is all about you. Don’t over-think this assignment. It should be easy. I encourage you to write a personal narrative, which means you can…

3 educator answers

**SCIENCE**

**1) Can an insulating ball actually be attracted to a negatively charged plate? 2) Upon touching,…**

Neutral objects can be attracted to charged objects through a process called induction. This works because all matter is composed of positive protons and negative electrons. While the protons are…

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**THE GIVER**

**What things are important to make a 3 week unit lesson plan on CHARACTER on Lois Lowry’s The…**

If I was creating a unit on character in The Giver, I would begin base my unit around three parts: Before reading: Before reading, I would have students explore their own character traits and…

1 educator answer

**SOCIAL SCIENCES**

**Do you know any website about how the No Child Left Behind Act is related to the “Requirement of…**

While it might not be intended, I think that this question might evoke a great deal of discussion and debate. To my understanding, I don’t see that there is a parental requirement component to the…

3 educator answers

**SOCIAL SCIENCES**

**How has the “No Child Left Behind” (NCLB) law affected English Language Learners (ELLs)?How has…**

The No Child Left Behind (NLCB) law has created some unique challenges for students who are English Language Learners (ELLs) and their teachers. NLCB requires all students to reach “profieciency”…

2 educator answers

**ROMANTICISM**

**What elements of Romanticism do you find in Wordsworth’s “Tintern Abbey” and Coleridge’s “Frost…**

The first two elements I notice are solitude and connection with and meditation on nature. Other Romantic themes are nostalgia and hope for the future. These themes are all interconnected through…

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**LITERATURE**

**Write short note on Gynocriticism.**

Gynocriticism, frequently cited in the work of Elaine Showalter, is the study of writing and criticism that reinterprets women’s literary history. It is the study of women’s literary history by…

1 educator answer

**SCIENCE**

**What type of isomerism is pentane, pentene, dichloropentane, and bromochlorofluoromethane?Give me…**

The term “isomer” in organic chemistry, refers to two or more substances that have the same molecular formula but different structures and somewhat different physical and/or chemical properties….

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**BRAVE NEW WORLD**

**In Brave New World, what is Mustapha Mond’s position on forbidden books?**

It is in Chapter Sixteen that you need to turn to find the answer to this question. This of course is the long-awaited confrontation between John and Mustapha Mond. When John asks why he will not…