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 7 cm × 6 cm. Find the rate at which the area of the image is changing (dA/df) if the length of the image is changing at 0.6 cm/s and the width of the image is changing at 0.3 cm/s.
A. 12.0 cm2/sec
B. 11.4 cm2/sec
C. 6.0 cm2/sec
D. 5.7 cm2/sec
Answer: D
Mathematics
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Provide an appropriate response. An electrician makes an investment of $1,400. It returns $33.25 in simple interest at the end of 3 months. What is the yearly interest rate?
A. 7.125% B. 9.5% C. 5.8% D. 2.375%
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Factor.250x3 - 54y3
A. 2(125x - 3y)(x2 + 15xy + 9y2) B. 2(5x + 3y)(25x2 - 15xy + 9y2) C. 2(5x - 3y)(25x2 + 15xy + 9y2) D. (10x - 6y)(25x2 + 9y2)
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Use the formula for the general term (the nth term) of a geometric sequence to find the indicated term of the sequence with the given first term, a1, and common ratio, r.Find a11 when a1 = 1000, r = .
A.
B. 1005
C.
D.
Mathematics
Determine whether the graph represents a function.
A. Yes B. No
Mathematics