Find the composition. If f(x) = x2 + 3 and h(x) = , find (h ? f)(5)

A. 15
B. 8 
C. 5
D.


Answer: D

Mathematics

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Solve the problem.Consider a small region inside an elastic material such as gelatin. As the material "jiggles", this small region oscillates about its equilibrium position (x0, y0, z0). The force that tends to restore the small region to its equilibrium position can be approximated as  F = - k(x - x0)i - k(y - y0)j - k(z - z0)k Find a potential function f for this force field.

What will be an ideal response?

Mathematics

Construct a boxplot for the given data. Include values of the 5-number summary in all boxplots.The test scores of 32 students are listed below. Construct a boxplot for the data set.32 37 41 44 46 48 53 5557 57 59 63 65 66 68 6970 71 74 74 75 77 78 7981 82 83 86 89 92 95 99

A.

B.

C.

D.

Mathematics

Simplify. Write the expression as a single logarithm with a coefficient of 1.3 ln (x2) + 4 ln (3x)

A. ln (3x10) B. ln (x6 + 81x4) C. ln (x6 + 3x4) D. ln (81x10)

Mathematics

Solve the problem.The population of the country where Ken lives is 1 times the population of the country where he was born. The population of the country where he lives is approximately 48.0 million. What is the approximate population of the country where he was born?

A. 31.0 million B. 33.5 million C. 30.5 million D. 32.0 million

Mathematics