The population p of a culture of bacteria is described by the equation p left parenthesis t right parenthesis equals 1200 e to the power of 0.052 t end exponent, where t is the time, in hours, relative to the time at which the population was 1200. what was the population at t = 6 hours?

as per question statement

we need to set up an equation first

they have given that it is relative to 1200 that means it starts to increase from 1200 at t=0 initially 1200 bacteria were present

we need to find population at t=6

we need to plug t=6 in p(t).

1638.38 bacteria were present at that time t=6

i dont know sorry

step-by-step explanation:

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.