Solve the problem.The volume of a rectangular box with square base and a height of 5 feet is V(x) = 5x2, where x is the length of a side of the base. Find the instantaneous rate of change of volume with respect to x when x = 3 feet.
A. 45 ft3/ft
B. 30 ft3/ft
C. 15 ft3/ft
D. 6 ft3/ft
Answer: B
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If the equation represents a hyperbola, find the center, foci, and asymptotes. If the equation represents an ellipse, find the center, vertices, and foci. If the equation represents a circle, find the center and radius. If the equation represents a parabola, find the focus and directrix. y2 - x2 - 4y + 10x - 57 = 0
A. C: (5, 2); F: (0, 2 + 6), (0, 2 - 6
); A: y - 2 = x - 5, y - 2 = -(x - 5)
B. C: (5, -4); F: (6, 0), (- 6
, 0); A: y =
x, y = -
x
C. C: (5, 2); F: (5, 2 + 6), (5, 2 - 6
); A: y - 2 = x - 5, y - 2 = -(x - 5)
D. C: (-1, 2); F: (6, 0), (- 6
, 0); A: y = x, y = -x
Solve the problem.The weekly sales in thousands of items of a product has a seasonal sales record approximated by (t is time in weeks with
referring to the first week in the year). During which week(s) will the sales equal 85,380 items?
A. week 4, week 20, and week 52 B. week 4 and week 47 C. week 21 and week 30 D. week 30 and week 47
Find the unknown value in the percent proportion Round to the nearest tenth, if necessary.part = 60, percent = 16
A. whole = 375 B. whole = 187.5 C. whole = 37.5 D. whole = 26.7
Solve.16k2 - 64 = 0
A. 2, - 2
B. , -
C. 8, 0
D. , 0