Dan’s football team brings a 5-gallon cooler of Thirstade to every game so players can stay hydrated throughout the game. The amount of Thirstade in the cooler can be modeled by the equation y=5−0.2x, where y is the amount of Thirstade in the cooler in gallons, and x is the number of players who have taken a drink of Thirstade. Which best describes the amount, in gallons, of Thirstade that is in the cooler at any time, x?
A. The amount of Thirstade in the cooler decreases at a constant rate.
B. The amount of Thirstade in the cooler increases at a constant rate.
C. The amount of Thirstade in the cooler decreases at an exponential rate.
D. The amount of Thirstade in the cooler increases at an exponential rate.

answer: the answer is (b) amie should have multiplied

step-by-step explanation: given a sphere and a cylinder with same radius and height.

let, 'r' be the radius of the cylinder and sphere and 'h' be the height of the cylinder. according to the question,

r = h.

now, the volume of the sphere will be

and the volume of the cylinder will be

therefore, we have

thus, ammie should have multiplied the volume of the sphere

the answer is c)8

step-by-step explanaction:

step-by-step explanation:

no, her answer is not correct.   we square the lengths of all sides and then determine whether the pythagorean theorem holds here:

9² + 15² = 306.   this is not equal to the square of the longest side ( that square being 395.   answer c is correct.

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.