Use algebra to determine the exact value, and check that
your answer is consistent with the graphical estimate.
46. (a) F(x) = (27x - x2)1/2
(b) G(x) = (27x – x2)1/3 + (1 - 1)
(c) H(x) = 27x^2 – x^4

What is the simplified form of 7 √x • 7 √x • 7 √x • 7 √x?

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.)

Geometry in the diagram, ∠abc is a right angle. ∠dbc = 30°27'40". find the measure of ∠abd.