Aking in ancient times agreed to reward the inventor of chess with one grain of wheat on the first of the 64 squares of a chess board. on the second square the king would place two grains of wheat, on the third square, four grains of wheat, and on the fourth square eight grains of whea. if the amount of wheat is doubled in this way on each of the remaining squares, how many grains of wheat should be placed on square 13? also find the total number of grains of wheat on the board at their total weight in pounds. (assume that each grain of wheat weighs 1/7000 pound)

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 this system of equations. 12x − 18y = 27 4x − 6y = 10

What is the simplified form of (3.25x10^3)(7.8x10^6) written in scientific notation?