Answer:
Step-by-step explanation:
We are given that:
And we want to find F'(0).
First, find F(x):
![\displaystyle F'(x) = \frac{d}{dx}\left[ f(3x)]](https://tex.z-dn.net/?f=%5Cdisplaystyle%20F%27%28x%29%20%3D%20%5Cfrac%7Bd%7D%7Bdx%7D%5Cleft%5B%20f%283x%29%5D)
From the chain rule:
![\displaystyle \begin{aligned} F'(x) &= f'(3x) \cdot \frac{d}{dx} \left[ 3x\right] \\ \\ &= 3f'(3x)\end{aligned}](https://tex.z-dn.net/?f=%5Cdisplaystyle%20%5Cbegin%7Baligned%7D%20F%27%28x%29%20%26%3D%20f%27%283x%29%20%5Ccdot%20%5Cfrac%7Bd%7D%7Bdx%7D%20%5Cleft%5B%203x%5Cright%5D%20%5C%5C%20%5C%5C%20%26%3D%203f%27%283x%29%5Cend%7Baligned%7D)
Then:
In conclusion, F'(0) = 15.
Answer:
16.9%
Step-by-step explanation:
Let's find the answer by using the following formula:
final people=(initial people)+((initial people)*(percent increase)) which can be written as:
percent increase=((final people)-(initial people))/(initial people) so:
percent increase=(83-71)/71=0.169=16.9%
In conclusion, the percent increase is 16.9%.
Answer: 6^2-7=29
Step-by-step explanation:
Answer:
I believe its the second one.
Step-by-step explanation:
First find the area of the whole pizza.
The formula for area of a circle is Area = PI x r^2
The diameter is given as 131 feet, so r would be 131/2 = 65.5 feet.
I will use 3.14 for PI since the problem doesn't say what value to use.
Area = PI x 65.5^2
Area = 3.14 x 4290.25
Area = 13,471.39 square feet
Divide the total area by the number of pieces:
13,471.39 / 50 = 269.43 square feet
To find the length of the crust first find the circumference of the whole pizza:
Circumference = PI x diameter
Circumference = 3.14 x 131 = 411.34 feet
Now divide the total by the number of pieces:
411.34 / 50 = 8.23 feet
Each slice has an area of about 269.43 square feet and a crust length of 8.23 feet.
