Answer:
π
V-foam = 4r³( 2 - ----- )
3
Step-by-step explanation:
Let the radius of the sphere be r. Then the volume of the sphere is
V = (4/3)(π)(r³).
Next, recognize that the side length of the cube is 2r, and that the volume of the cube is thus
V = (2r)³, or 8r³.
Then the volume of the foam is equal to the volume of the cube less the volume of the sphere:
V-foam = 8r³ - (4/3)(π)(r³). This could be factored into
π
V-foam = 4r³( 2 - ----- )
3
Answer: your answer is 195
Step-by-step explanation:
Answer: f(3)
Step-by-step explanation:
First find the formula for the rate of change by taking the derivative of 2^x. Let f(x) equal some hypothetical y-value, then take the natural log of both sides.

Implicitly differentiate the left side and take the derivative of the right side

Multiply both sides by 'y' which was defined as 2^x

Plug in x = 2 and x = 3 to see which slope is larger

9514 1404 393
Answer:
5450
Step-by-step explanation:
Put 9% where r is in your formula and evaluate it. Of course, you must use the decimal equivalent.
5000(1 +9%) = 5000(1.09) = 5450
The account will have 5450 in it at the end of the year.
Answer:
27
Step-by-step explanation:
2+7=9.
9x3=27
72+9=81
27x3=81