Solve the problem.A balloon (in the shape of a sphere) is being inflated. The radius is increasing at a rate of 1 cm per second. Find a function, r(t), for the radius in terms of t. Find a function, V(r), for the volume of the balloon in terms of r. Find (V ? r)(t).
A. (V ? r)(t) = 
B. (V ? r)(t) = 
C. (V ? r)(t) = 
D. (V ? r)(t) = 
Answer: C
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Find the center, transverse axis, vertices, foci, and the equations of the asymptotes of the hyperbola.(x + 1)2 - 9(y - 2)2 = 9
A. center: (-1, 2)
transverse axis: x = -1
vertices: (-1, -1) and (-1, 5),
foci: (-1, 2 - 
) and (-1, 2 + 
),
asymptotes: y + 2 = - 3(x - 1) and y + 2 = 3(x - 1)
B. center: (2, -1)
transverse axis: y = 2
vertices: (-1, -1) and (5, -1)
foci: (2 - 
, -1) and (2 + 
, -1)
asymptotes: y + 1 = - 
(x - 2) and y + 1 = 
(x - 2)
C. center: (-1, 2)
transverse axis: y = 2
vertices: (-4, 2) and (2, 2)
foci: (-1 - 
, 2) and (-1 + 
, 2)
asymptotes: y - 2 = - 
(x + 1) and y - 2 = 
(x + 1)
D. center: (-1, 2)
transverse axis: y = 2
vertices: (-2, 2) and (0, 2)
foci: (-1 - 
, 2) and (-1 + 
, 2)
asymptotes: y - 2 = - 3(x + 1) and y - 2 = 3(x + 1)
Use the appropriate formula to solve the problem.Find the corresponding Fahrenheit temperature for a temperature of 31°C. Round to the nearest tenth, if necessary.
A. -0.6°F B. 87.8°F C. 113.4°F D. 35°F
Use the power rules for exponents to simplify the expression. Write the answer in exponential form.8(rt)5
A. 85r5t5 B. 8rt5 C. 8r5t D. 8r5t5
Solve the logarithmic equation.log8(7x + 3) = log8(7x + 7)
A. {0}
B. 
C. {2}
D. ?