Answer:

Step-by-step explanation:
we know that
To find out how much fabric Jen has left for the shorts, subtract the yards of fabric used in her new dress from the total yards of fabric Jen has.
so

Convert mixed number to an improper fraction

substitute

Convert to mixed number

Hi there!
The formula for the volume of a cone is V = 1/3(pi x r^2 x h). Using this formula, we can solve for the volume of the cone.
WORK:
V = 1/3(3.14 x 6.5^2 x 14)
V = 1857.31 / 3
V = 619.10 cm^3
ANSWER:
A) 619.10cm^3
Hope this helps!! :)
If there's anything else that I can help you with, please let me know!
Triangle Area = ½ * height * base
base = 24 therefore
height = (4/3) * base = (4/3) * base = 32 cm
Triangle Area = ½ * 32 * 24
= 384 cubic centimeters
Answer:
f(x) = 3x⁴ -
- 17x + 
Step-by-step explanation:
To find f'(x), we will follow the steps below:
We will start by integrating both-side of the equation
∫f'(x) = ∫(12x^3 - 2x^2 - 17)dx
f(x) = 3x⁴ -
- 17x + C
Then we go ahead and find C
f(1) = 8
so we will replace x by 1 in the above equation and solve for c
f(1) = 3(1)⁴ -
- 17(1) + C
8 = 3 -
- 17 + C
C =8 - 3 + 17 + 
C = 22 + 
C =
C = 
f(x) = 3x⁴ -
- 17x + 