Abacteria culture starts with 200 bacteria and grows at a rate proportional to its size. after 6 hours there will be 1200 bacteria (1) express the population after i hours as a function of t. population: p(tepe (1.066-21) (unction of t) (b) what will be the population after 7 hours? 348125.2 (c) how long will it take for the population to reach 1750 ? note: you can earn partial credit on this problem.

(1) Let, P represents the size of the bacteria culture in t hours,

According to the question,

By integrating,

Where ,

We have,

at t = 0, P = 200,

at t = 6, P = 1200

Hence, the required function would be,

(2) if t = 7,

The population would be,

(3) If P = 1750,

Hence, it will take about 8 years for the population to reach 1750.

t = 3

step-by-step explanation:

put t = 3 in this expression :

(3²-1)(3²-2)(3² - 3)(3² - 4) = 8×7×6×5 = 56×30 = 1680

answer: option a.

step-by-step explanation:

you know that the quadrilateral opqr ( a four sided figure) is inscribed in circle. this means that all its vertices are on the circle.

then, by definition, the opposite angles of the quadrilateral are supplementary, this means that the sum of their measures is 180 degrees.

you can observe in the figure that the angles ∠opq   and the angle ∠orq   are opposite, therefore:

then, can be used to d to calculate the measure of ∠opq