7. A projectile is fired from a cliff 200 meter above the water at an inclination of 0 45 to the horizontal, 5 with a muzzle velocity of 100 meter/second. The height h of the projectile above the water is modeled by     200 100 32 2 2     x x h x where x is the horizontal distance of the projectile from the face of the cliff. (a) At what horizontal distance from the face of the cliff is the height of the projectile a maximum? (b) Find the maximum height of the projectile. (c) At what horizontal distance from the face of the cliff will the projectile strike the water? (d) When the height of the projectile is 50 meter above the water, how far is it from the cliff?

Which of the binomials below is a factor of this trinominal? x^2-13+30

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.)

Solve the equation x/4 - 5= -8 -27 -12 -7 12