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 = 16 cut by the plane z = 0Density: ? = 5

A. Iz = 80?
B. Iz = 640?
C. Iz = 160?
D. Iz = ?


Answer: D

Mathematics

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A. (-?, -1]

B. (5, ?)

C. (-?, 5]

D. (-?, 5)

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Determine whether the given point is in the solution set to the given system.(-2, 6, -1)-x + 3y + 4z = 163x + 2y - z = 74x - y + 3z = -17

A. Yes B. No

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Prove the identity. ?

What will be an ideal response?

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Factor the expression.15(p + 3)2 + 23(p + 3) + 4

A. (5p + 4)(3p + 7) B. (5p + 1)(3p + 4) C. (5p + 16)(3p + 13) D. (5p + 19)(3p + 10)

Mathematics