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 = m + v.
B. If M represents momentum, m mass, and v velocity, then M = 
.
C. If M represents momentum, m mass, and v velocity, then M = 
mv.
D. If M represents momentum, m mass, and v velocity, then M = mv.
Answer: D
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For the smooth curve r(t), find the parametric equations for the line that is tangent to r at the given parameter value 
r(t) = (3 sin t)i - (8 cos 3t)j +e-7tk ; to = 0
A. x = 3, y = -8t, z = -7 + t B. x = 3t, y = -8, z = 1 - t C. x = 3t, y = 8, z = 1 + t D. x = 3t, y = -8, z = 1 - 7t
If n is a natural number, then 10-n = 
. Negative powers of 10 can be used to write the decimal part of Hindu-Arabic numerals in expanded form. Express the expanded form as a Hindu-Arabic numeral.(5 × 10-1) + (5 × 10-3) + (9 × 10-5) + (9 × 10-7) + (7 × 10-8) + (5 × 10-9)
A. 0.5059975 B. 0.559975 C. 0.505090975 D. 0.50509090705
The true value of a firm's resources emerges when they are integrated to form capabilities.
Answer the following statement true (T) or false (F)
Solve.At Allied Electronics, production has begun on the X-15 Computer Chip. The total revenue function is given by 
and the total cost function is given by 
where x represents the number of boxes of computer chips produced. The total profit function, P(x), is such that 
Find P(x).
A. P(x) = -0.3x2 + 40x - 15 B. P(x) = 0.3x2 + 40x - 30 C. P(x) = -0.3x2 + 31x + 15 D. P(x) = 0.3x2 + 31x - 45