Solve the problem.The surface area of a balloon is given by S(r) = 4?r2, where r is the radius of the balloon. If the radius is increasing with time t, as the balloon is being blown up, according to the formula
find the surface area S as a function of the time t.
A. S(r(t)) = ?t6
B. S(r(t)) = ?t9
C. S(r(t)) = ?t3
D. S(r(t)) = ?t6
Answer: D
Mathematics
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A.
B.
C.
D.
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Factor completely.8a3 - 27b3
A. (2a + 3b2)(4a2 - 6ab + 9b2) B. (2a - 3b)(4a2 + 6ab + 9b2) C. (2a - 3b)(4a2 + 9b2) D. (8a - 3b)(a2 + 6ab + 9b2)
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For what values of x does the series converge absolutely?
A. -11 ? x < -9 B. -11 ? x ? -9 C. -11 < x < -9 D. -11 < x ? -9
Mathematics
Solve the problem, using 3.14 for ?. Round to nearest tenth unless instructed differently.Find the cost to asphalt a circular racetrack if asphalt costs $90 per 100 ft2. (Use 3.14 for ?. Round to the nearest dollar.) r = 85 ft R = 140 ft
A. $34,195 B. $55,390 C. $34,972 D. $20,418
Mathematics