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math

Quiz yourself by thinking what should be in each of the black spaces below before clicking on it to display the answer.
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Question
Answer
The area of an equilateral triangle with side length 4.   four times the square times the square root of 3  
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The area of a square inscribed in a circle with radius 4.   32  
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The area of a rhombus whos diagonals are lengths 4 and 7.   14  
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The area of a decagon with perimeter 40 and apothem length 6.   120  
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The formula of the colume of a cylinder in terms of its radius r and height h.   pi r squared h  
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The formula of the total surface area of a cylinder in terms of its radius r and height h.   2 pi r times quantity r plus h  
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The formula of the volume of a cone in terms of its radius r and height h.   one-third pi r squared h  
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The formula of the surface area of a aphere in terms of its radius r.   4 pi r squared  
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The value of the secant of 180 degrees.   negative one  
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The value of the tangent of 360 degrees.   zero  
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The value fo the cosine of 780 degrees.   one-half  
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The value of the cosecant of 180 degrees.   undefined  
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10^6   Mega (do not accept Meg)  
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10^-6   Micro  
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10^-9   Nano  
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10^12   Tera  
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For a set of data, this is the difference between the smallest and largest values in the set.   Range  
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This is the most frequently occuring value in a set of data.   Mode  
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Half the values in a data set will be higher than this value, and the other half will be lower.   Median  
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This value, symbolized by a lower-case sigma, tells how spread out the data are from the mean.   Standard Deviation  
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The positive square root of the quantity (13 squared minus 12 squared)   Five  
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The value of i raised to the tenth power   Negative one  
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The measure of one interior angle in a regular pentagon   108 degrees  
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The value of 64 to the negative two-thirds power   1/16  
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Numbers in the form a + bi. Example 3 - 5i   Complex numbers  
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Numbers of the sequence 1,1,2,3,5...   Fibonacci numbers  
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Irrational numbers that are not algebraic numbers such as Pi and e.   Transcendental numbers  
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Any number that can be expressed as the ratio of two integers.   Rational numbers  
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Evaluate sin 390 degrees   1/2  
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Evaluate cos 855 degrees   negative square root of 2/2  
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Evaluate tan-420 degrees   negative square root of 3  
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Evaluate sec 300 degrees   2  
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24   2^3 (2 cubed times 3 or 2 to the third times three)  
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105   3x5x7 (3 times 5 times 7)  
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968   2^3 11^2 (2 cubed times 11 squared or equivalents)  
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101   101 (accept prime or some equivalent)  
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2^9   512  
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4^4/2^6   4  
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(E to the quanity pi times I where I is the square root of negative one.)   -1  
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.008^2   .0064  
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What is the function's amplitude?   4  
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What is the function's period?   pie  
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What is the magnitude and direction of the function's horizontal shift?   pie/2 to the left  
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What is the magnitude and direction of the function's vertical shift?   3 down  
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The derivative of F times G equals F times the derivative of G plus G times the derivative of F   Product Rule  
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The derivative of F of G of X equals the derivative of G of X times the derivative of F of G of X   Chain Rule  
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If F of A is less that zero and F of B is greater than zero, then there is some value C between A and B such that F of C equals zero.   Intermediate Value Theorem  
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For values A and B there is a value C between A and B such tghe the derivative of F at C equals the quanitity F of B of a divided by B minus A.   Mean Value Theorem  
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Find the two roots for each equation: X^2-2X-15=0   X=-3 and X=5  
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Find the two roots for each equation: X^2-19X+84=0   X=7 and X=12  
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Find the two roots for each equation: X^2-3X-28=0   X=-4 and X=7  
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Find the two roots for each equation: X^2-5X-66=0   X=11 and X=-6  
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The length of the hypotenuse if the base is 16 inches long and the height equals 12 inches.   20 inches  
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The area of the right triangle whos hypotenuse equals 25 inches and whos base equals 24 inches.   84 square inches  
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The length of the base if the altitufe equals 6 inches and the hypotenuse equals 9 inches   3 square root of five  
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The length of the base if the area of the triangle equals 112 square inches while its altitude equals 8 inches.   28 inches.  
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