Find the constant of proportionality k, and write the linear function relating the two variables.Suppose that y varies directly with x. When x = , then y = 9.

A. k = ; y = x + 
B. k = ; y = x
C. k = 36; y = 36x
D. k = ; y = x


Answer: C

Mathematics

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Solve.A rectangular box with volume 517 cubic feet is built with a square base and top. The cost is $1.50 per square foot for the top and the bottom and $2.00 per square foot for the sides. Let x represent the length of a side of the base in feet. Express the cost of the box as a function of x and then graph this function. From the graph find the value of x, to the nearest hundredth of a foot, which will minimize the cost of the box.

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Find the sum of the terms of the arithmetic sequence.1, 3, 5, 7, . . ., 45 n = 23

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Solve the problem.Find the center of mass of a thin infinite region in the first quadrant bounded by the coordinate axes and the curve  if .

A.  =  = 
B.  =  = 
C.  =  = 
D.  =  = 

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