Evaluate the composition of functions.Let f(x) = x2 + 3 and g(x) = 4x + 7. Find (f ? g)(6).

A. 46
B. 163
C. 149
D. 964

Answer: D

Mathematics

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Use synthetic division to find the quotient and the remainder.6x5 - 5x4 + x - 4 is divided by x + 

A. 6x4 - 2x3 - x2 + x + ; remainder - 
B. 6x4 - 8x3 + 5; remainder - 
C. 6x4 - 2x3 + x2 - x + ; remainder - 
D. 6x4 - 8x3 + 4x2 - 2x + 2; remainder -5

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Mathematics

A certain bacteria population doubles each 20 minutes.   ? A: Explain why the bacteria population is an exponential function of time. ? B: What is the hourly growth factor for the bacteria population? ? C: If there are initially  bacteria present, write a formula that gives the population N after t hours.

What will be an ideal response?

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Mathematics

R1 = 55 Kê, R2 = 5.5 Kê, R3 = 2.2 Kê, R4 = 0.51 Kê, HFE = 90, and VCC = 18 V. Find the value of IC.


a. 2.362 mA
b. 2.011 mA
c. 1.941 mA
d. 1.814 mA
e. 100.6 mA

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Mathematics

Find an equation of the set of all points equidistant from the points A(7,-8,-9) and B(-6,4,-12)

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Mathematics