Solve the problem.A rectangular sign is being designed so that the length of its base, in feet, is 10 feet less than 4 times the height, h. Express the area of the sign as a function of h.

A. A(h) = 10h - 2h2
B. A(h) = -10h2 + 2h
C. A(h) = -10h + 4h2
D. A(h) = -10h + h2


Answer: C

Mathematics

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Find the curvature of the curve r(t).r(t) = (3 + ln(sec t))i + (9 + t)k, -?/2 < t < ?/2

A. ? = 1 - cos t B. ? = cos t C. ? = sin t D. ? = -cos t

Mathematics

Solve the problem.A ball is thrown downward from a window in a tall building. Its position at time t in seconds is  where s is in feet. How long (to the nearest tenth) will it take the ball to fall 227 feet?

A. 3.8 sec B. 2.7 sec C. 8.4 sec D. 2.9 sec

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For the given pair of functions, find the requested function.f(x) = x2 + 6x + 6 and g(x) = 5x - 2; (fg)(1)

A. 13 B. -17 C. 37 D. 39

Mathematics

Find the center and radius of the circle whose graph is shown. Write the standard form of the equation of the circle.

A. r = ; (h, k) = (-4, 2); (x + 4)2 + (y - 2)2 = 5
B. r = 5; (h, k) = (-4, 2); (x + 4)2 + (y - 2)2 = 25
C. r = 5; (h, k) = (-4, 2); (x - 4)2 + (y + 2)2 = 25
D. r = ; (h, k) = (-4, 2); (x - 4)2 + (y + 2)2 = 5

Mathematics