A cylindrical vase has a diameter of 6 inches. At the bottom of the vase, there are 9 marbles, each of diameter 3 inches. The vase is filled with water up to a height of 12 inches. Which of the following could be used to calculate the volume of water in the vase?

π(3in)2(12in) − 1.5(4/3π(9in)3)
π(12in)2(3in) − 1.5(4/3π(9in)3)
π(3in)2(12in) − 9(4/3π(1.5in)3)
π(12in)2(3in) − 9(4/3π(1.5in)3)

g(x) = 3*(8(3^(x−2))+2)

g(x) = 24 (3^(x-2) )+6

the factor is 2

step-by-step explanation:

let f(x)=8(3^(x−2)+2)

to stretch a graph by 3, it would be 3f(x)

g(x) =3f(x)

g(x) = 3*(8(3^(x−2))+2)

g(x) = 24 (3^(x-2) )+6

x     −2     0     2     4     6

f(x) 1/64 1/16   1/4     1     4

1/64 * z * z = 1/16

i multiplies by z twice because it its 2 steps from -2 to 0

1/64 z^2 = 1/16

multiply by 64 to clear the fraction on the left side

1/4 * 64 z^2 =1/16 *64

z^2 = 4

take the square root of each side

sqrt(z^2) = ±sqrt(4)

z = ±2  

we are multiplying by 2 each time.

answer: a.12cm

step-by-step explanation:

-x represents miles per gallon

-y represents cargo weight

-vehicle traveled an average of 5.3 miles per gallon(x1) with load of 22 tons (y1)

- vehicle traveled an average of 6.3 miles per gallon( x2) with load of 18 tons( y2)

so, equation now becomes

so, option a) is correct