Find k such that the function is a probability density function over the given interval.f(x) = kx2(4 - x)2, 0 ? x ? 4

A.
B.
C.
D.


Answer: B

Mathematics

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Evaluate the expression without using a calculator.log 104

A. log 4 B. 104 C. 10 D. 4

Mathematics

Simplify the expression. Assume all variables represent positive real numbers.8 - 2m2p

A. 6m2p
B. 10mp2
C. 6
D. cannot be simplified

Mathematics

Graph the system of inequalities.y > x24x + 3y ? 12

A.

B.

C.

D.

Mathematics

Solve the problem.There are currently 67 million cars in a certain country, increasing exponentially by 4% annually. How many years will it take for this country to have 83 million cars? Round to the nearest year.

A. 5 yr B. 69 yr C. 3 yr D. 4 yr

Mathematics