Find the area of the region specified by the integral(s).

A. 3
B. 15
C.
D. 20

Answer: B

Mathematics

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Solve the problem.The shape and density of a thin shell are indicated below. Find the moment of inertia about the z-axis.Shell: upper hemisphere of x2 + y2 + z2 = 25 cut by the plane z = 0Density: ? = 2

A. I_z = 50?
B. I_z = ?
C. I_z = 125?
D. I_z = 500?

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Mathematics

For the following question(s), refer to the tournament digraph below. The vertices of the digraph represent five tennis players in a round-robin tournament. An arc XY represents the fact that X defeated Y in the tournament. Which player won the tournament?

A. A B. B C. C D. D E. E

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Mathematics

Simplify the algebraic expression by rewriting the factor with a common base.

A. 5^{x + 1}
B. 5
C. 5^{x + 3} - 2
D. 5^{x + 5}

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Mathematics

Graph the parabola and its vertex, focus, and directrix.x2 = -8y

A.

B.

C.

D.

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Mathematics