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Mathematics, 05.06.2021 21:00 Benysod402
Emilia is painting a triangular picture frame. The perimeter is 30 inches. If one side is 13 inches long and another side is 5 inches long, what is the length of the other side of the picture frame?
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Mathematics, 22.06.2019 01:10
Evaluate 8x2 + 9x β 1 2x3 + 3x2 β 2x dx. solution since the degree of the numerator is less than the degree of the denominator, we don't need to divide. we factor the denominator as 2x3 + 3x2 β 2x = x(2x2 + 3x β 2) = x(2x β 1)(x + 2). since the denominator has three distinct linear factors, the partial fraction decomposition of the integrand has the formβ 8x2 + 9x β 1 x(2x β 1)(x + 2) = correct: your answer is correct. to determine the values of a, b, and c, we multiply both sides of this equation by the product of the denominators, x(2x β 1)(x + 2), obtaining 8x2 + 9x β 1 = a correct: your answer is correct. (x + 2) + bx(x + 2) + cx(2x β 1).
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Mathematics, 22.06.2019 01:40
Suppose we have a set of small wooden blocks showing the 26 letters of the english alphabet, one letter per block. (think of scrabble tiles.) our set includes 10 copies of each letter. we place them into a bag and draw out one block at a time. (a) if we line up the letters on a rack as we draw them, how different ways coukl we fill a rack of 5 letters? (b) now suppose we just toss our chosen blocks into a pile, and whenever we draw a letter we already have, we put it back in the bag and draw again. how many different piles of 5 blocks could result? possible? piles will contain at least one repeated letter? (c) if we draw out 5 blocks wit hout looking at them, how many different piles are (d) if we draw out 5 blocks without looking at them, how many of the possible 2. (4) consider the following formula. 12 give two different proofs, one using the factorial formulas and the other combina torial.
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Emilia is painting a triangular picture frame. The perimeter is 30 inches. If one side is 13 inches...
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