Acylinder shaped dispenser holds 5,652 cm³ of liquid soap and is now full. the radius of the dispenser is 7.5 cm. what is the difference between the height of the soap in the full dispenser and the height when 4,239 cm³ of soap remains in the dispenser? use 3.14 to approximate pi.

30cm is the difference between the height of the soap in the full dispenser and height of the remaining soap. 

The formula for cylindrical height is: 

  Area
       -  r
2 * π * r

Cylindrical height of full dispenser.

      5652                            5652
  - 7.5    =    - 7.5  =  120 - 7.5 = 112.50
2 * 3.14 * 7.5                     47.1

Cylindrical height of dispenser with lesser liquid soap 
     
     4239                       4239
 - 7.5 =    - 7.5 = 90 - 7.5 = 82.50
2 * 3.14 * 7.5                47.1

Cylindrical height of full soap                112.50
Cylindrical height of lesser soap           - 82.50 
Difference in height of soap content       30.00 

Hope it helps! :D

2 apples

step-by-step explanation:

taking away equals subtraction. 6-4=2

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.