A right-angle triangle, with one side adjacent to the right angle labeled 7, and the hypotenuse is labeled x. The angle between the hypotenuse and other side adjacent to right angle measures 45 degrees. Find the value of $x$ . Write your answer in simplest form. x= ?

Marcus needs to rewrite f(x) = x2 + 6x + 4 in vertex form.

For what value of x does 4x = (1/8) x + 5?

The accompanying table shows the numbers of male and female students in a particular country who received bachelor's degrees in business in a recent year. complete parts (a) and (b) below. business degrees nonbusiness degrees total male 189131 634650 823781 female 169539 885329 1054868 total 358670 1519979 1878649 (a) find the probability that a randomly selected student is male, given that the student received a business degree. the probability that a randomly selected student is male, given that the student received a business degree, is nothing. (round to three decimal places as needed.) (b) find the probability that a randomly selected student received a business degree, given that the student is female. the probability that a randomly selected student received a business degree, given that the student is female, is nothing. (round to three decimal places as needed.)