Solve the problem. Use 3.14 for ?. Round to the nearest tenth.The foundation for a cylindrical flower bed is a cylinder 25 yd in diameter and 3 yd high. How many cubic yd of concrete are needed to build the foundation?

A. 2943.8 yd3
B. 471.0 yd3 
C. 5887.5 yd3 
D. 1471.9 yd3 


Answer: D

Mathematics

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Solve the system by the best method. Use set notation to express the solution set.

A. no solution; ? B. {(-8, 0)} C. {(7, 0)} D. {(-7, -1)}

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Find the zeros of the polynomial function. State whether the graph crosses the x-axis, or touches the x-axis and turns around, at each intercept. f(x) = -x3(x + 3)2(x - 6)

A. x = 0, touches the x-axis and turns around; x = -3, touches the x-axis and turns around; x = 6, crosses the x-axis B. x = 0, touches the x-axis and turns around; x = 3, crosses the x-axis; x = 6, crosses the x-axis C. x = 0, crosses the x-axis; x = -3, touches the x-axis and turns around; x = 6, crosses the x-axis D. x = 0, crosses the x-axis; x = 3, touches the x-axis and turns around; x = -6, crosses the x-axis

Mathematics

Give the equation of the function whose graph is described.The graph of y = x2 is shifted 4 units to the left. This graph is then vertically stretched by a factor of 5 and reflected across the x-axis. Finally, the graph is shifted 8 units downward.

A. y = -5(x + 4)2 - 8 B. y = -5(x - 4)2 - 8 C. y = -5(x + 8)2 - 4 D. y = -5(x - 4)2 + 8

Mathematics

Find the volume of the sphere. Use 3.14 or  for ? as indicated.Use 3.14 for ?.

A. 267.947 cm3  B. 66.987 cm3  C. 2143.573 cm3 D. 150.72 cm3 

Mathematics