Factor out the greatest common factor.40a2bc2 - 35ab4c5 + 5a3bc3
A. 5a2bc2(8 - 7b3c3 + ac)
B. 5abc2(8a - 35b3c3 + 5a2c)
C. 5abc(8ac - 7b3c4 + a2c2)
D. 5abc2(8a - 7b3c3 + a2c)
Answer: D
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Find the equation of the tangent plane (or tangent "hyperplane" for a function of three variables) at the given point p.f(x, y) = , p = (1, -1, -5).
A. 10x + 10y + z = -5 B. x + y + 5z = -5 C. 5x + 5y + z = -10 D. 5x + 5y + z = -5
Solve the exponential equation.72x = 718.4
A. 64.4 B. 9.2 C. 7 D. -9.2
Decibel readings Use the fact that the loudness of sound (in decibels) perceived by the human ear depends on intensity levels according to where
is the threshold of hearing for the average human ear. Find the loudness when I is 100,000 times
.
a. 5 b. 50 c. 6 d. 500 e. 10,000
Write the expression for the general (or nth) term, an, of the arithmetic sequence. Then, find the indicated term of the arithmetic sequence.a = 5, d = 6; find an and a13
A. an = -1 - 6n, a13 = 77 B. an = -1 + 6n, a13= 77 C. an = 5 + 6n, a13 = 77 D. an = -1 + 6n, a13 = 53