Awaterfall has a height of 1400 feet. a pebble is thrown upward from the top of the falls with an initial velocity of 12 feet per second. the height, h, of the pebble after t seconds is given by the equation h equals negative 16 t squared plus 12 t plus 1400
h=−16t2+12t+1400. how long after the pebble is thrown will it hit the ground?

Given a circle with measures of (c, d, and r) and a circle with measures of (c', d', and r'), what is d if c c' = 12 and d' = 0.50? a) 3 b) 6 c) 12 d) 24

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.)

If cos(2x) = tan^2(y), show that cos(2y) = tan^2(x).