Solve the problem.A balloon (in the shape of a sphere) is being inflated. The radius is increasing at a rate of 5 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: A
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Use the distributive property to multiply. Then, if possible, simplify the resulting expression.4(a + b)
A. 4ab B. 8ab C. 4a + 4b D. 4a + b
Find the center and the radius of the circle.3x2 + 3y2 + 6x - 12y - 60 = 0
A. (-1, 2), r = 5 B. (-2, 1), r = 25 C. (1, -2), r = 25 D. (2, -1), r = 5
Solve the problem.A company makes 3 types of cable. Cable A requires 3 black, 3 white, and 2 red wires. B requires 1 black, 2 white, and 1 red. C requires 2 black, 1 white, and 2 red. The company used 95 black, 100 white and 85 red wires. How many of each type of cable were made?
A. 25 A; 10 B; 20 C B. 53 A; 25 B; 17 C C. 10 A; 17 B; 20 C D. 10 A; 25 B; 20 C
A solar oven uses a parabolic reflector to focus the sun's rays at a point 5 inches from the vertex of the reflector (see figure). Write an equation for a cross section of the oven's reflector with its focus on the positive y axis and its vertex at the origin.
L = 5 inches
A.
B.
C.
D.
E. ?