Find the product.(2x6y5z)(-9x7yz3)

A. -18x42y5z3
B. -7x13y6z4
C. -7x42y5z3
D. -18x13y6z4


Answer: D

Mathematics

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Solve the problem.The shape and density of a thin shell are indicated below. Find the coordinates of the center of mass.Shell: "nose" of the paraboloid x2 + y2 = 2z cut by the plane z = 6Density: ? = 

A.
B.
C.
D.

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Clear fractions and solve. -  -  = 0

A. 6
B.
C.
D.

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Use the Pythagorean theorem to find the length of the third side of the right triangle. Leave any irrational answers in radical form.

A. 11
B. 61
C.
D.

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One side of a rectangular yard is bounded by the side of a house. The other three sides are to be fenced with 81 ft of fencing. The length of fence opposite the house is 15 ft less than either of the other two sides. Find its length and width. 

A. The opposite side is 16 ft., and the other sides are 31 ft each. B. The opposite side is 17 ft., and the other sides are 32 ft each. C. The opposite side is 19 ft., and the other sides are 34 ft each. D. The opposite side is 21 ft., and the other sides are 36 ft each. E. The opposite side is 14 ft., and the other sides are 29 ft each.

Mathematics