The population of bacteria in a culture grows at a rate-proportional to the number of bacteria present at time t. after 2 hours it is observed that 200 bacteria are present. after 8 hours 4000 of bacteria are present. what was the initial number of bacteria? derive and solve the differential equation 9.

The line y = x + passes through (−3, 7) and is parallel to y = 4x − 1.

Write an algebraic expression for the word expression the quotient of c and 8

Jessica and martha each have a bag of cookies with unequal quantities. they have 30 cookies total between the two of them. each of them ate 6 cookies from their bag. the product of the number of cookies left in each bag is not more than 80. how many more cookies will jessica have martha? if x represents the number of cookies jessica started with, complete the statements below.the inequality that describes the relationship between the number of cookies each one of them has is x^2 - x +224 > = 0.jessica has at least cookies more than martha.