#### The Boy Who Cried Wolf

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Proof means sufficient evidence to establish the truth of something. It is obtained from deductive reasoning, rather than from empirical arguments. Proof must show that a statement is true in all cases, without a single exception.

Proving the Identity
When proving an identity, you may manipulate only one side of the equation throughout. You may not use normal algebraic techniques to manipulte both sides.
Let's begin with the identity you wish to prove.
cos2x - sin2x ?=? 2cos2x - 1
We know that sin2x + cos2x = 1 (Pythago…

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Did a high-school graduate solve the paper-folding problem by folding a piece of paper twelve times?

Paper Folding...Theory?
Think about it, a single piece of paper that is folded 12 times would end up being 2 raised to the 11th power in thickness.
It's one of those problems that seems easy, but in reality doesn't make sense. Within just a few folds, you aren't really "folding" the paper any mo…

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You can fold a piece of paper 12 times.
114 times

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Answer
No such word. Loom can be a weaving machine or threatening actions coming into light.
Do you mean Lupus. That is an auto immune disease that affects humans, especially women..... A german-welsh last name

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More information is needed. Your coin is almost certainly British, but you also need to supply its denomination and condition. Please post a new question so that it will be possible to ID your coin. The motto is several words, not one, and variations of it are found on all British coins. It's heavi…

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Answer
I don't know why there should be 4 laws (=axioms) specifically. In mathematics you can choose whatever system of axioms and laws and work your way with those. Even "logic" (propositional calculus) can be redefined in meaningful ways. the most commonly used system is Zermolo-Fraenkel+choi…

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Is there a direct way to determine the number of positive factors that a given number like 1800 has?

Answer
The easiest way is through easy websites such as this:
http://wiki.answers.com/Q/What_are_the_factors_of_math
Alternatively, you can use prime factorization. In this case, 1800 = 2*2*2*3*3*5*5. Thus any divisor contains at most three factors of 2; that means there are four possibilitie…

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Study shows that pure water density is 1gm/cc. This might be at lower altitudes because that 1gm could not be 1gm anymore at high altitudes. Salt water density is slightly higher thus it was said that ships float better at sea meaning that sea water has more bouyant force than pure water. 8^DIt depe…

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Ronans dad is Gerry Keating,

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An argument that sometimes fools human reasoning, but is not
logically valid.

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*analogy- comparison if two things alike in some aspects or they will be semble
one another in other aspect.
*intuiton - mental ability same as guessing.
*inductive - forming of general statement from particular specific case.
*deductive - making conclusion from general to particular stances.

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Hi All, I think the answer for this question is, Testing method :Verification(review) and Validation Testing types : Basically static and dynamic-> in dynamic testing further can be classified into structural(white box) and functional(black box) testing Testing Technique : in white box testin…

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Have you ever read one and it happened?
Yes, I have. It said that the day was not a good day to listen to music, and when I listened to music I about broke my wrist.
I do think they are true. When I read my monthly horoscope on Yahoo! Mail it came true and I was so happy--well, at least part…

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The formula for compound interest is: A = P * ( 1 + ( R / N ) )^( N * T ) where A = amount of money accumulated after n years, including interest. P = principal amount (the initial amount you borrow or deposit) R = annual rate of interest (as a decimal) N = number of times the interest is comp…

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Perfect squares have an odd number of factors. If f is a factor of N, then so is N/f. (For example, 3 is a factor of 30, and so is 10). Thus, it seems factors come in pairs, and there should always be an even number of them. But if f = N/f, then these two factors are the same, resulting in an odd n…

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look in google if not there, look in wikipedia.fundamental theorem of algebra and their proofs

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Original data compiled and studied for a specific purpose. For example, a structured survey might be conducted for the purpose of discovering current attitudes on a particular topic; raw survey responses would be primary data.

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Unit testing is a software testing method by which individual units
of source code are tested to determine whether they are fit for
use.

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The word zillion is a fictitious amount, and is used to express an unspecified but extraordinarily large number. The word reflects the English number names of the -illion form, and the Z is added to make it look like one of those really large numbers. A zillion is a very large indefinite number.

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Answer
Formula for Radius of Cylinder , closed on both ends, given its Surface Area and Height:
Where : R = Radius, π = 3.1428, S = Surface Area of the Cylinder and H = Height of the Cylinder
We start with formulas for the circle (Area = πR2 ) , then factor in the height (or altitude) H that …

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Displacement= Volume x Density for example to find the displacement of a ship you would do this formula: underwater volume(m3) x density(t/m3) so if you are a deck cadet like me this is the formula you would use to find the displacement of a ship in the first ship stability test! THIS IS WRONG! T…

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A radius is half of the diameter of a circle, or the distance from one endpoint to the center.

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A package unit contains all elements of the refrigeration cycle in one system. The 4 major components include: A compressor, condenser, metering device, and a evaporator. All elements are needed to complete the cycle of refrigeration. As for a split unit, All elements of the refrigeration cycle are…

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No, it comes out with a decimal, 814 divided by 4 equals 203.5

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As of February 2013, the largest known prime number is
2^57,885,161 − 1, a number with 17,425,170
digits.

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truthfully, you cannot have a highest or lowest number, as numbers go from positive infinity to negative infinity. so there is not high or low

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Variable costs change in relation to (and generally in proportion to) sales. Examples include: Chlorine costs for a pool-service company. (More pools serviced = more revenues = more chlorine bought). The cost of nails for a building contractor. (More houses sold = more nails bought). The cost of…

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Archimedes discovered and invented several things throughout his life:Archimedes' principle (one of several apsects involving buoyancy).The Archimedean screw (a fluid-moving device).The block-and-pulley (using mechanical advantage to move loads with less effort).Inventing the odometer (a device that…

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xylophone and Ray. zebra. yell and yeast.

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SI prefixes, also known as a metric prefixes, are names or associated symbols that precedes a unit of measure or its symbol to form decimal multiples or submultiples. SI prefixes are used to reduce the quantity of zeroes in numerical equivalencies.Femto (f) 10-15 One Quadrillionth Pico (p) 10-12 On…

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There are two concepts for Islam; namely Islam in its general sense as full submission to God, the Creator; as the one and only God with no partner, no son, no father, no companion, no associate, and no equivalence. In this sense the first who came up with Islam were Adam and Eve.Islam per Quran rev…

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Data collection is a term used to describe a process of preparing and collecting data

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Two of the most famous badlands are the Makoshika State Park in
Montana and the Badlands National Park in South Dakota. There is
also The Big Muddy Badlands in Saskatchewan, Canada and Valle de la
Luna in Argentina.

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Stress testing means increasing the load ,and cheking the performance at each level. Load testing means at a time giving more load by the expectation and checking the performance at that leval. Volume testing means first we have to apply initial load,then at certain time increase the load and chec…

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For home units, the compressor is the outside, large box shaped unit that is usually on the side, or behind the house. It takes the freon gas from inside the home compresses it into a liquid, where it will be pumped back inside to the condensor. Compressing gas creates heat, so a fan draws air throu…

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Trigonometry was probably developed for use in sailing as a navigation method used with astronomy.[2] The origins of trigonometry can be traced to the civilizations of ancient Egypt, Mesopotamia and the Indus Valley, more than 4000 years ago.[citation needed] The common practice of measuring angles …

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You count to ten in Jamaican the same way as you do in English. Except you do it after smoking copious amount of marijuana.

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A three dimensional oval is simply called an egg, or more mathematically, an ovoid.
A three dimensional ellipse (a more symmetric oval) is called a prolate spheroid, or oblate spheroid, depending on how the ellipse is rotated.

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Barbara Blackburn who can maintain 150 w/m for up to 50 minutes. She also has been clocked at 212 w/m.

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Leaf outlines and fractional parts
I'm not totally sure what's being asked here, but I'll take a shot at something and see if I hit anything.
What we know:
An 8 x 10 piece of paper weighs 9.8 grams.
A cut-out of a leaf is 20 square inches.
The 8 x 10 paper has an area of 8 x 10 = 80 square …

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Well, they are both the same hardness, because you need the same proof for both, ex. If somone says I am 21. This could be true or it could be false. You could find their birthday and see if they are right or wrong.

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think of "reverse operations"...1234 times 6 would equal a # that is divisible by 1234 and 6, due to that multiplication is the reverse operation of division.
or 7404

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An example of militarism is the Arms Race between the United
Kingdom and Germany before and during the war. Both countries
fought for supremacy as the greater military power by tremendously
increasing their war spending.

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It does indeed seem like there should be a rule for adding radicals. There are rules for adding, subtracting, multiplying, and dividing whole numbers, and there are rules for multiplying and dividing radicals. However, there is no "rule" for adding radicals. For example, sqrt(2)+sqrt(3) does NOT equ…

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3*(n/2)

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Examples of philosophizing are readily found within the texts
written by acknowledged philosophers from past and present: such
texts offer the 'philosophizings' of some of the most active minds
in human history. Additionally, examples of philosophizing can be
found in daily life among less famous bu…

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Answer
Sound coming from musical instruments is very complex and can be thought of as an infinite sum of sine waves of different frequencies. The pitch that you hear and identify is called the fundamental frequency. However, the tone, or sound quality, of an instrument is characterized by the har…

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yes you canyou fill the water into the container and measure the amount of waterthen you place the uranium in the water and measure again.the difference between the two measurements is the volume of the uranium

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The cost of a loaf of bread in the 1960's was 20 cents. The cost of
a gallon of milk was 1.04 and bananas were 10 cents per pound.

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it depends on the paper size because if u take a small paper small folds will happen and is u take big paper it will have many folds

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At most schools a B- is a 2.7 and a B is a 3.0
So really, a 2.87 is a high B-, but a B- nonetheless.

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A piece of paper can be folded ten times by simply following the simple procedure in a simple way which is simply given below.
Steps for folding a paper ten times.
First of all take a piece of paper.
Now, slowly make a fold in the paper.
Press tightly to form a crease.
Now, move on for the …

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Math helps you determine speed, helps you calculate how much food to get, helps you make a recipe, lets you know how much you weigh. It tells you how much money you have, how much money you make in a job, what size clothes you wear, and when your favorite show is on. It lets you cook properly, tells…

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The myth is no matter how big the paper is, if it is folded exactly in half it cannot be folded 8 times although this has been proved wrong by many including the mythbusters.

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Google-Plex , a google is a 1 followed by 100 zeroes , a google-plex is a google followed by another 100 zeroes

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two. The 3 and the 5. Odd numbers are the ones that you can't divide by 2. 6 can be divided by 2.
Here is another interpretation of the question. There are 364/2=182 even and odd numbers in 364. Thus there are 182+1=183 odd numbers in 365.
The problem is the question is not worded clerly enough to…

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A cube is a three-dimensional solid object bounded by six square faces, facets or sides, with three meeting at each vertex. The cube can also be called a regular hexahedron and is one of the five Platonic solids. It is a special kind of square prism, of rectangular parallelepiped and of 3-sided trap…

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A solution in which more solute can be dissolved has not reached saturation. It is an unsaturated solution.

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Jagged lines have toothed/serated edges whereas diagonal lines can have any edge so long as they run diagonally,so it is possible to have a jagged diagonal line!

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it depends on the weight of the egg after the volcano had a child.

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Answer: A regular quadrilateral is one with equal sides and equal angles, so it is a square. To negate this definition, we say an irregular quadrilateral is one where the sides are unequal or the angles are unequal OR BOTH. In simpler terms, we could say it is a quadrilateral which is not a square.

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Of a Bunsen Burner flame? Combustion takes place in all parts of the flame.

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Collection of data is one of the most important aspects of
research. This can be done through surveys, observation,
questionnaires and so much more.

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Multiply each of the dimensions together: height times width times depth. their product, including units, is the volume.

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It means a verbal disagreement, a discussion involving different
points of view, a statement intended to convince or persuade

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The perfect square roots are simply the counting numbers: 1, 2, 3, 4, and so on.
The square root of 1 is 1, the square root of 4 is 2, the square root of 9 is 3, the square root of 16 is 4, and so on....
See http://www.naturalnumbers.org/psquares.html

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There are infinity square roots. Here is why. 1s square root is one, 4s is 2, and goes on forever. So, any whole number is a square root. My guess. I am only in middle school.

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a false aurelia requires a moderate amount of light, and will thrive with more light. the amount of water it needs will be directly proportionate to how much light it receives. they prefer their soil to be moist at all times, if it starts to dry out the leaves will quickly begin losing their color. …

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A taboo is something that is so culturally shocking that it isn't
even discussed. For example, in most societies, cannibalism is a
huge taboo.

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The numbers that are divisible by 8 are infinite. The
first four are: 8, 16, 24, 32 . . .

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This experiment involves examining how an object is affected by different types of forces. It is done in a vacuum environment to prevent any variables affecting the result.

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The only number to not have a reciprocal is zero. This is because it can't be divided by anything.

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The difference between an estimate and an actual number is the difference between ideals and observations. For instance, You may think the time is 10:57, but in reality the probability of that is 0 due to the fact that time lies on a continuum. 10:57 is only an estimate; close enough for our purpose…

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The isosceles triangle theorem states: If two sides of a triangle are congruent, then the angles opposite to them are congruent
Here is the proof:
Draw triangle ABC with side AB congruent to side BC so the triangle is isosceles.
Want to prove angle BAC is congruent to angle BCA
Now draw an angle…

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All linear equations of the form y = mx + b, where m and b are real-valued constants, are functions. A linear equation of the form x = a, where a is a constant is not a function. Functions must be one-to-one. That means each x-value is paired with exactly one y-value.

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it is the relation between 2 numbers , for example 15 and 10 their ratio is 3:2

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2 pi r times the circumference sqaured. then take this and find out its square root. This however, only works if you have the circumference.If you have both the volume and the height, you can find the formula for the radius by solving the following literal equation for "r":V=1/3 r^2(3.14)(H)r=(3V/pi…

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They are similar in the amount of degreesNo because they can have different measurements but what all isosceles triangles have in common is that 2 of their 3 sides are equal in length and that their 2 base angles are equal in size with the 3rd angle being of a different size but all 3 angles add up …

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Metamorphic rocks begin as igneous or sedimentary rocks. After
being exposed to thousands of years of constant heat and pressure,
they become metamorphic.

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The formula for finding the radius of a circle is circumference
divided by double of pi. If area is given instead of circumference,
the radius may be found by dividing the area by pi, then finding
the square root of the resultant quotient. It is also equal to half
of the diameter, or the diameter di…

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Most scientists say in about 13500. So I think that you have some time

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The answer to that question was first understood and documented and proved by a Britney Gallivan. She first had to make a definition of what a fold was (bending paper over is not true folding) Then went on to find out why paper had a limit. The answer is each time paper is folded there is less pape…

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