Answer:
64π/5 cubic units.
Step-by-step explanation:
The line x = 2 and y = x^3 intersect at the point (2 , 2^3) = (2, 8).
The required volume = volume of the cylinder with height 8 and radius 2 - the volume of shape form between the curve and the y axis when revolved about the y-axis.
Using the disk method for volumes of revolution:
Note that x = y^1/3 so:
the second volume = Integral π ((y^1/3)^2) dy between y = 0 and y = 8.
= 3/5 y^5/3 * π between 0 and 8
= 96π/5.
The required volume = π 2^2 *8 - 96π/5
= 32π - 96π/5
= 64π/5.
Answer:
3 x -3y = -9y
3 x -1 = -3
The factored expression is 3(-3y - 1)
Step-by-step explanation:
All you have to do is -9y / 3 = -3y and -3 / 3 = -1, then put those numbers in parentheses. All of that is multiplied by 3.
The reason is because if you distributed the 3 it would become:
3 * -3y + 3 * -1 = -9y - 3
2. $350
3a: 15 is half of 30, so knowing that means the answer is 50%
3b. 3 is 1/4 of 12 because 3x4 is 12, meaning that 3 is 25% of 12.
3c. 6 over 10 as a decimal is 0.6. Which as a percent is 60%
4. Noah's method does work because 20% x 5 is equal to 100% of a number.
