Answer:
312π mm^2
Step-by-step explanation:
to find the volume of the figure, you have to calculate the volume of a cone and the volume of a sphere divided it by 2.
The volume of a cone is 1/3 * π * r ^ 2 * h, replacing the information:
V = 1/3 * (6) ^ 2 * (14) = 168π mm^2
The volume of a sphere is 4/3 * π * r ^ 3, replacing the information:
V = 4/3 * π * (6) ^ 3 = 288π mm^2
but since you only have half the sphere
V = 288π / 2 = 144π mm^2
then the total volume is
Vt = 168π + 144π = 312π mm^2
Answer:
x^2 +3x +3
Step-by-step explanation:
(9x^2+3x+6)–(8x^2+3)
Distribute the negative sign
(9x^2+3x+6)–8x^2-3
Combine like terms
9x^2–8x^2+3x+6–8x^2-3
x^2 +3x +3
Answer:
141.37
Step-by-step explanation:
To calculate minimum value, do -b/2a to get the x-value, and plug it in to get the y-value:
-6/8 = -3/4
So the minimum value of g(x) is -81/4
This shows that g(x) has a lesser minimum value than f(x)
Answer:
y = - 3
Step-by-step explanation:
Locate x = 2 on the x- axis, then go down vertically to meet the line. At this point read off the corresponding value on the y- axis, thus
The value of the function at x = 2 is y = - 3
