Translate the sentence into a mathematical equation. Be sure to identify the meaning of all symbols.Momentum is the product of the mass of an object and its velocity.

A. If M represents momentum, m mass, and v velocity, then M = mv.
B. If M represents momentum, m mass, and v velocity, then M = .
C. If M represents momentum, m mass, and v velocity, then M = m + v.
D. If M represents momentum, m mass, and v velocity, then M = mv.


Answer: D

Mathematics

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FInd the tangential and normal components of the acceleration.r(t) = i + j + 12tk

A. a = N
B. a = T
C. a = 25T + 25N
D. a = T + 25N

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Find the special product.(y5 - 8)(y5 + 8)

A. y10 - 64 B. y10 - 16 C. y25 - 64 D. y25 - 16

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Solve the problem.Two pumps can fill a water tank in 45 minutes when working together. Alone, the second pump takes 3 times longer than the first to fill the tank. How long does it take the first pump alone to fill the tank?

Fill in the blank(s) with the appropriate word(s).

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Find the expression.u = -3i - 3j, v = 8i + 8jFind 4u + 7v.

A. 5i + 5j B. 11i + 11j C. 44i + 44j D. -68i - 68j

Mathematics