Determine the quotient, q(x), and remainder, r(x) when

f(x) = 12x4 + 24x3 + 39x2 + 31x + 21

is divided by g(x) = 6x2 + 3x + 6 .

If a baby uses 15 diapers in 2 days how many diapers will the baby use in a year

Astudent found the solution below for the given inequality. |x-9|< -4 x-9> 4 and x-9< -4 x> 13 and x< 5 which of the following explains whether the student is correct? -the student is completely correct because the student correctly wrote and solved the compound inequality. -the student is partially correct because only one part of the compound inequality is written correctly. -the student is partially correct because the student should have written the statements using “or” instead of “and.” -the student is completely incorrect because there is no solution to this inequality.

The length of time for one individual to be erved at a cafeteria is a random variable having an ex- ponential distribution with a mean of 4 minutes. what is the probability that a person will be served in less than/3 minutes on at least 4 of the next 6 days?