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Math

The triangle is given to be a right angled triangle. Taking 3 and 4 as the lengths of the shorter sides, the length of the hypotenuse can be derived using the Pythagorean Theorem as sqrt ( 9 + 16)...

Latest answer posted March 22, 2011 3:53 am UTC

2 educator answers

Math

Let the vertices of the triangle be : A(-1,1) B( 2,0) and C ( 4,-2) First we will calculate the length of the sides: AB = sqrt( 2+1)^2+ ( 0-1)^2 = sqrt(3^2 + 1) = sqrt( 10) ==> AB...

Latest answer posted November 30, 2010 5:58 am UTC

1 educator answer

Education

There are a number of ways in which integrating technology into the classroom can help students with their academic skills. For one thing, the ability to find information online is a major academic...

Latest answer posted March 22, 2013 6:09 pm UTC

1 educator answer

Math

`sin^2 (pi/6) - 2sin (pi/6) cos (pi/6) + cos^2 (-pi/6) ` First, we know that: `cos(-x) = cos(x) ` `==gt cos^2 (-pi/6) = cos^2 (pi/6)` Also, we know that: `2sinxcosx = sin2x` `==> 2sin (pi/6) cos...

Latest answer posted March 30, 2012 4:20 am UTC

1 educator answer

Science

In computing for the percent yield of the reaction, we can use the expression: `percent yield = (actual yield)/(theo retical yield) * 100` actual yield = 38.8 theoretical yield = ? We can obtain...

Latest answer posted April 24, 2013 12:22 am UTC

1 educator answer

Math

You may use the following formula for `cos(alpha - beta)` to find if both sides are equal such that: `cos(alpha - beta) = cos alpha*cos beta + sin alpha*sin beta` Substituting `pi/2` for `alpha`...

Latest answer posted February 5, 2012 2:34 pm UTC

2 educator answers

On First Looking into Chapman's Homer

So you are asking which two words in this poem show us that Homer is present in the poem? If so, I would say "deep-brow'd Homer" indicates that Homer is present. Other than that, there are many...

Latest answer posted November 1, 2010 10:30 pm UTC

1 educator answer

Math

When simple interest is being calculated, the interest I is given by the formula I = P*r*t where P is the principle amount, r is the rate of interest per period and t is the number of periods....

Latest answer posted February 9, 2012 9:19 am UTC

1 educator answer

Math

You should use the following logarithmic identity such that: `log_a b = (log_c b)/(log_c a)` `log_4 x = (log_2 x)/(log_2 4) => log_4 x = (log_2 x)/2` Substituting `(log_2 x)/2` for `log_4 x...

Latest answer posted September 9, 2012 3:05 pm UTC

1 educator answer

Math

Here we have log(x) 2 = 0.5, where the base of the log is x. log(x) 2 = 0.5 use the relation that log(a) b = c => b = a^c => 2 = x^(1/2) => 2^2 = x => x = 4 The solution is x = 4.

Latest answer posted April 19, 2011 2:16 pm UTC

1 educator answer

Math

490 g as a percentage of 7 kg is equal to `((490/1000)/7)*100` = `(0.49/7)*100` = `49/7` = 7 490 g is 7% of 7 kg.

Latest answer posted July 6, 2013 6:17 am UTC

1 educator answer

Math

The problem requires finding the integral of 16x * sin^3(2x^2 + 1)*cos (2x^2 + 1) with substituting 2x^2 + 1 with u Int [16x * (sin (2x^2 + 1))^3*cos (2x^2 + 1) dx] let u = 2x^2 + 1 du = 4x * dx...

Latest answer posted April 1, 2011 2:47 pm UTC

1 educator answer

Chemistry

90 grams of the given compound has 24 g of carbon and 64 g of oxygen. We know that the atomic mass of carbon is 12 and the atomic mass of oxygen is 16. If the empirical formula of the compound is...

Latest answer posted March 17, 2011 4:24 pm UTC

1 educator answer

Math

The percentage of 760 that 950 is can be determined by evaluating `(950/760)*100 = = 1.25 = 125 %` 950 is 1.25 or 125% of 760

Latest answer posted February 21, 2012 1:56 am UTC

1 educator answer

Math

We have the present value and the future value in 3 years time so we can use the compound interest formula: F= P `(1+i)^n` where F is the future value (Rs 7290) P is the present value (Rs 5120) i...

Latest answer posted January 22, 2013 2:16 pm UTC

1 educator answer

Social Sciences

While spanking or slapping children used to be very common in families, today it is much more rare. The idea of "Spare the rod, spoil the child" suggested that you could beat good behavior into...

Latest answer posted May 27, 2010 12:28 pm UTC

6 educator answers

Math

I think there are two ways to judge whether your students are making progress in math, through your own curriculum aligned instruction and testing on those objectives, the other is through...

Latest answer posted December 29, 2009 8:59 am UTC

5 educator answers

History

There's no chance that Malcolm X could have led the Civil Rights Movement to as much success as King did. The reason for this is that, like it or not, the movement had to be acceptable to a large...

Latest answer posted July 29, 2011 1:04 pm UTC

2 educator answers

History

All slaves during the Colonial period were African American. The distinction between indentured servitude and slavery was a legal one: indentured servants were obligated for a number of years;...

Latest answer posted February 27, 2011 9:54 pm UTC

1 educator answer

Social Sciences

Peat is an important and ancient form of fuel, particularly in Ireland, Scotland and the UK. It is composed of partially decayed plant matter, particularly moss and grass, that has accumulated in a...

Latest answer posted January 16, 2014 2:35 am UTC

1 educator answer

Math

We have to prove that (x+y)^5 - (5yx^2+5xy^2)(x^2+xy+y^2) = x^5 + y^5. (x + y)^5 = x^5 + 5*x^4*y + 10*x^3*y^2 + 10x^2*y^3 + 5*x*y^4 + y^5 (5yx^2+5xy^2)(x^2+xy+y^2) = 5yx^4 + 5y^2x^3 + 5y^3x^2 +...

Latest answer posted April 10, 2011 1:52 am UTC

1 educator answer

Reference

Peace is the absence of strife. It seems so easy to understand and so impossible to obtain. Everybody has a different idea of how to attain peace, and because of these differences, peace remains an...

Latest answer posted March 13, 2012 10:33 am UTC

9 educator answers

Math

`sqrt(18)/ sqrt(2)` rationalize the denominator (which will eliminate square root denominator) = `sqrt(18)/ sqrt(2) times sqrt(2)/sqrt(2)` = `sqrt(36)/ 2` A square root can be positive or negative...

Latest answer posted November 7, 2012 5:27 am UTC

1 educator answer

Math

(a) -6x=-27+3x Subtract 3x from both sides of the equation -9x=-27 Divide both sides of the equation by -9 x=3 The solution is x=3: Check -6(3)=-18=-27+9=-27+3(3)...

Latest answer posted March 3, 2013 2:10 pm UTC

1 educator answer

Lunch Money

There is more than one message (theme) present in the book Lunch Money. For me, though, two main messages stand out. One is the importance of hard work. Right from the start of the book, it is...

Latest answer posted October 20, 2015 1:12 pm UTC

1 educator answer

Math

One could get `4/3` from -4 by multiplying -4 by `-1/3` : `-4*-1/3 = 4/3` Likewise, one could get `-4/9` from `4/3` by multiplying by `-1/3` : `4/3 * -1/3 = -4/9` If we multiply this by `-1/3` ,...

Latest answer posted September 12, 2013 2:30 am UTC

1 educator answer

Law and Politics

The USA Patriot Act is a counter-terrorism act that was enacted in October, 2001, and reauthorized in 2006. The title is actually an acronym (Uniting and Strengthening America by Providing...

Latest answer posted April 7, 2008 9:13 am UTC

1 educator answer

The Yellow Wallpaper

The first thing one needs to know about creating a critical analysis is the particular aspects a critical analysis examines and details. The purpose of a critical analysis is where a reader...

Latest answer posted October 10, 2011 6:42 am UTC

1 educator answer

Science

The pathophysiological mechanism of panic begins a high in your affective stimulus (your senses become blocked with fears and anxiety) and this causes irrational thoughts. In turn, this further...

Latest answer posted December 22, 2009 12:36 am UTC

2 educator answers

Patents

Patents and copyrights are exclusive rights to certain ideas, inventions, or works that are granted by the government to the people who developed those types of intellectual property. In a sense,...

Latest answer posted February 28, 2013 4:19 pm UTC

1 educator answer

The Comedians

As we are limited in space, below are a few ideas to help get you started.Cultural criticism and new historical criticism are actually closely related. The difference between the two concerns...

Latest answer posted November 11, 2014 5:03 am UTC

1 educator answer

Roll of Thunder, Hear My Cry

Since the rising action of a literary work consists of several actions that build to the climax of the plot, such action in Roll of Thunder, Hear My Cry involves the number of incidents that...

Latest answer posted February 12, 2016 8:18 am UTC

1 educator answer

Physics

In a word, electrons. These have both the properties of matter and energy, sometimes appearing as subatomic particles and sometimes as a waveform. Electricity can be classified as either at rest...

Latest answer posted December 1, 2008 9:46 am UTC

1 educator answer

The Wine of Astonishment

The Wine of Astonishment is a novel by Earl Lovelace about the Prohibition movement in Trinidad and its effect on a Spiritual Baptist town, who use Sacramental Wine in their worship. Mitchell is a...

Latest answer posted March 12, 2012 2:56 am UTC

1 educator answer

Literature

You have some wonderful specifics in the body of your essay, where you provide concrete details about the needs of the university. However, in your introduction, you fall back upon vague...

Latest answer posted February 15, 2015 2:16 pm UTC

1 educator answer

Social Sciences

The idea behind the party platform has definitely seen some recession over time. The previous thoughts are accurate on this. Yet, I do believe that there is some level of mutual dependence that...

Latest answer posted July 30, 2010 10:33 am UTC

4 educator answers

History

Women struggled to achieve equality in certain areas in the 1920s. Some of these struggles still exist today. One area where inequality was evident was in the workplace. Women were expected to do...

Latest answer posted October 21, 2015 9:55 pm UTC

1 educator answer

Reference

That sounds like a great goal. I think you are taking a step in the right direction by asking for help too. Great leaders are not afraid of seeking help and getting advice. I don't know what...

Latest answer posted November 12, 2015 2:48 pm UTC

1 educator answer

Science

The alimentary canal comprises the anatomic structures through which ingested food passes during digestion and absorption, ending with the excretion of food waste via the anus. The anatomic...

Latest answer posted September 19, 2011 8:01 am UTC

1 educator answer

Lord of the Flies

The adults are the ones who created the problem; they are the ones who bicker and can't get along to the point that a cataclysmic war is started that is the reason the boys are on the plane in the...

Latest answer posted May 6, 2009 9:17 pm UTC

1 educator answer

To Kill a Mockingbird

It seems that in the case of most of the children in the novel, the old adage about "nuts not falling far from the tree" seems to apply. Jem and Scout exhibit many of the same traits as their...

Latest answer posted September 4, 2012 4:22 pm UTC

1 educator answer

Reference

I believe I can help you with your question, but first I want to make certain that I understand exactly what you need. Are you wondering whether or not you need to include a reference to Microsoft...

Latest answer posted February 21, 2010 1:57 am UTC

1 educator answer

Science

Osmosis is the diffusion of water through a semipermiable membrane. The water moves from a volume with a low concentration of solute into an volume of high concetnration of solute. So, the...

Latest answer posted November 15, 2011 7:46 am UTC

1 educator answer

Social Sciences

If you already have the demand schedule, most of the work is done. I don't have your precise figures in front of me, so I'll just make up my own; the process is the same.Suppose you interviewed 40...

Latest answer posted January 26, 2016 8:42 pm UTC

1 educator answer

Science

Everything in nature is made up of particles. Dictionary.com defines particle as one of the extremely small constituents of matter, as an atom or nucleus. There are several reasons for studying...

Latest answer posted October 12, 2011 2:33 am UTC

1 educator answer

Math

The partial fraction decomposition of ` 3/(x - 3)^2` has to be determined. Let `3/(x - 3)^2 = A/(x - 3) + B/(x - 3)^2` => `3/(x - 3)^2 = (A(x - 3))/(x - 3)^2 + B/(x - 3)^2` => 3 = Ax - 3A +...

Latest answer posted September 12, 2013 4:26 pm UTC

1 educator answer

Physics

The debate about the properties of light date back to the time of Isaac Newton (1642-1727) who first undertook to comprehend its properties through experimentation. His belief was that light was...

Latest answer posted February 26, 2009 4:01 am UTC

2 educator answers

History

There are two possible answers to this question. I would suggest that you should check in your textbook or in your class notes to see which of these answers your instructor prefers. The two...

Latest answer posted February 5, 2014 11:56 pm UTC

1 educator answer

Grammar

The ugly will conquer the world. I will break down the sentence for you. "The" is a definite article referring to a specific noun ("ugly"). "Ugly," though normally an adjective, is used as a noun...

Latest answer posted March 2, 2010 12:32 am UTC

1 educator answer

A Tale of Two Cities

The "I" at the beginning of the chapter is the narrator himself, who temporarily steps in to describe the feeling of being so utterly separate and so utterly mysterious from the humans that we are...

Latest answer posted November 18, 2012 7:02 am UTC

1 educator answer

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