The population P of a culture of bacteria is described by the equation P = 1500e^0.052t , where t is the time, in hours, relative to the time at which the population was 1500. (a) What was the population at t=6 hours? Show your work.

(b) After how many hours will the population reach 10,000? Round to the nearest tenth of an hour. Show your work.

step-by-step explanation:

assume that you have 3 different side lengths.   apply the pythagorean theorem here:   square each of the two shortest sides; call them a and b, so that their squares are a² and b².   also square the longest side, calling the result c².

now, if a² + b² = c² is true, the triangle is a right triangle; otherwise it is not a right triangle.

25/32 is the simplest form

answer: 840

step-by-step explanation: