HELP! A sample of bacteria is grown in a Petri dish. It contains 1,000 bacteria, and the population doubles every half hour. The inequality 1,000(2)2t>50,000, where t is the number of hours, models when the population of the bacteria sample will be greater than 50,000.

Based on the inequality, when will the population in the sample be greater than 50,000?

A. t>2 hours

B. t>6 hours

C. t>3 hours

D. t>1 hour

(6.03) what is the constant term in the expression 6x3y + 7x2 + 5x + 4? (input a numeric value only.) numerical answers expected! me pls! fast pls

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.)

Parabolas y=−2x^2 and y=2x^2 +k intersect at points a and b that are in the third and the fourth quadrants respectively. find k if length of the segment ab is 5.