Use the shell method to find the volume of the solid generated by revolving the region bounded by the given curves and lines about the x-axis.x = 32 - y2, x = y2, y = 0

A. 128?
B. 256?
C. 512?
D. 64?


Answer: B

Mathematics

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Solve the system by either elimination or substitution. Verify your work by using "intersect" on your graphing calculator of by checking that your result satisfies both equations of the system.  x = -8y + 432x + 7y = 32

A. empty set solution; inconsistent system B. (-5, 6) C. (-6, 7) D. (5, 7)

Mathematics

Solve the problem.A license plate is to consist of 2 letters followed by 4 digits. Determine the number of different license plates possible if repetition of letters and numbers is permitted.

A. 6,760,000 B. 6,759,976 C. 676,000 D. 3,276,000

Mathematics

Solve the problem.The outfield wall in a baseball park is in the shape of a quarter circle. If the radius of the circle is 7 feet, how long is the wall? Use 3.14 for ?. Round your answer to the nearest tenth.

A. 5.5 ft B. 22.0 ft C. 9.0 ft D. 11.0 ft

Mathematics

Solve the inequality. Express your answer using interval notation.-21x - 3 ? -3(6x + 7)

A. [6, ?)

B. (-?, 6)

C. [6, ?)

D. (-?, 6]

Mathematics