Acity stores fresh water in a spherical tank. the tank has a radius of 32 feet. one cubic foot is approximately 7.5 gallons. if the city drains 140,000 gallons of water out of the full tank, how many gallons are left in the tank? round your answer to the nearest gallon.

There will be about 888,915 gallons of water left in the spherical tank

Now, multiply that by 7.5 and you will have 1,028,915 gallons of water in the tank.

Finally, just subtract the 140,000 gallons and we are at our answer.

Hope this helps!

-2

7 - 9 = -2

reversed:

-2 + 9 = 7

let's cover over the formula of the vertex:

y = a(x – h)^2 + k

in this formula, (h,k) are the vertex, always remember that the positive or negative value of the vertex is based on the sign it has.

for example, if the vertex is -3,-6 then both the x and y value would have the positive sign attached to it and if it were a positive x and y value, then a negative sign would be attached to it.

with that being said, for our problem the x value is a positive one so we are looking for a number with a negative sign next to it, in this case the first and second choice.

however, for the first answer choice it isn't quite part of the formula so we know that the answer choice correctly displays the x value.

to confirm, we can see if the -1 fits correctly with the second answer choice, and as mentioned above a negative number will have a positive sign attached to it. so, for our problem we can see that -1 has been changed to +1, so we can confirm that the second answer choice is correct.

hence, our final answer is y=(x - 1)^2 + 1