A population of bacteria doubles every 15 hours. Initially, the population of bacteria is 50.
What is the population of the bacteria after 40 hours?
Enter your answer, rounded to the nearest whole number, in the box.

About 317 bacteria.

Step-by-step explanation:

We can use the model for exponential growth:

Where t is the time (in hours) that has passed and d is the time in which one "cycle" occurs.

Since the initial population is 50 bacteria, a = 50:

The population doubles every 15 hours. Hence, r = 2 and d = 15:

Therefore, the population after 40 hours will be:

In conclusion, the population of the bacteria after 40 hours will be about 317 bacteria.

center (1,3) with radius 6

step-by-step explanation:

we must complete the square to find the center and radius of the circle.

first make sure the x and y squared terms have 1 as their coefficients. we also make sure x and y terms together.

we now create space between the x and y terms with parenthesis.

we complete the square by taking the middle terms -2x and the -6y - divide each and square them.

we add the squares to both sides.

simplify.

and write the quadratics in factored form.

the center is (h,k) or (1,3). the radius is the square root of 36 which is 6.