Rosario is an ecologist who studies the change in the penguin population of Antarctica over time.
The relationship between the elapsed time t, in years, since Rosario started studying the population, and
the number of penguins, P(t), is modeled by the following function:
P(t) = 21,000 (4)
Complete the following sentence about the rate of change in the penguin population.
The population of penguins loses
of its size every
years.

don't know what that says sorry i can't you

step-by-step explanation:

idk what it says

the slope of the line is 60

one point on the line is (40,10)

step-by-step explanation:

in the equation outside the parenthesis the equation always tells you the slope. in this case it is 60.

in the parenthesis is also says 40 which is x because it is near the x and 10 is y because it is near y.

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.

they used 313 gallons of paint