Determine the indicated function.A ball is to be made to contain a volume V. Express the total surface area A of the ball as a function of V and the radius r of the ball.
A. A = 
B. A = 
C. A = 3Vr
D. A = 
Answer: A
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Provide an appropriate response.The diagonals of a 
intersect at their common midpoint.
A. trapezoid B. pentagon C. parallelogram D. rhombus
Use the discriminant to determine whether the solutions for the equation are two rational numbers, one rational number, two irrational numbers, or two nonreal complex numbers. Do not actually solve.w2 + 5w + 8 = 0
A. two nonreal complex numbers B. two irrational numbers C. one rational number D. two rational numbers
Find the center, foci, and vertices of the ellipse.16x2 + 9y2 = 144
A. center at (0, 0)
foci at (0, 4) and (3, 0)
vertices at (0, 16) and (9, 0)
B. center at (0, 0)
foci at (0, -4) and (0, 4)
vertices at (0, -16), (0, 16)
C. center at (0, 0)
foci at (0, - 
) and (0, 
)
vertices at (0, -4), (0, 4)
D. center at (0, 0)
foci at (- 
, 0) and (
, 0)
vertices at (-4, 0), (4, 0)
Solve the problem.The function Y(x) = 47.95 ln 
can be used to estimate the number of years Y(x) after 1980 required for a certain country's population to reach x million people. In what year will the country's population reach 14 million?
A. About 2044 B. About 2039 C. About 2034 D. About 2024