Solve the problem. Round your answer, if appropriate.As the zoom lens in a camera moves in and out, the size of the rectangular image changes. Assume that the current image is 8 cm × 5 cm. Find the rate at which the area of the image is changing (dA/df) if the length of the image is changing at 0.7 cm/s and the width of the image is changing at 0.3 cm/s.

A. 11.8 cm2/sec
B. 5.9 cm2/sec
C. 14.2 cm2/sec
D. 7.1 cm2/sec


Answer: B

Mathematics

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Construct an R chart.A machine is supposed to fill cans that contain 12 oz. Each hour, a sample of four cans is tested; the results of 15 consecutive hours are given below.

What will be an ideal response?

Mathematics

Factor the polynomial completely.8x2 - 8x - 48

A. 8(x - 2)(x + 3) B. 8(x + 2)(x - 3) C. prime polynomial D. (8x + 16)(x - 3)

Mathematics

If the following is a polynomial function, then state its degree and leading coefficient. If it is not, then state this fact.f(x) = -5x3 - 16 + 13x4 + x9 - 3x2

A. Degree: 3; leading coefficient: -5 B. Degree: 9; leading coefficient: -5 C. Not a polynomial function. D. Degree: 9; leading coefficient: 1

Mathematics

Solve the problem.A toy company uses the linear model y = -5x + 560 to predict the decline in sales of a toy after it has been on the market more than one year. If x is the number of months after the first year and y is the number of toys sold in hundreds during that month, how many toys will be sold 7 months after the first year?

A. -279,300 toys B. 52,500 toys C. 59,500 toys D. -11,060 toys

Mathematics