Answer:
7238 rounded to the nearest whole number.
Step-by-step explanation:
To find the volume of the sphere, we use the formula.
![v = \frac{4}{3} \pi {r}^{3}](https://tex.z-dn.net/?f=v%20%3D%20%20%5Cfrac%7B4%7D%7B3%7D%20%5Cpi%20%20%7Br%7D%5E%7B3%7D%20)
The radius will be 24 units ÷ 2 = 12 units.
Hence, the volume is
![\frac{4}{3} \pi \times {12}^{3}](https://tex.z-dn.net/?f=%20%5Cfrac%7B4%7D%7B3%7D%20%5Cpi%20%5Ctimes%20%20%7B12%7D%5E%7B3%7D%20)
When entered in a calculator you'll get a result of 7238.23 cubic units in or 7238 rounded to the nearest whole number.
Answer:
16 boys
Step-by-step explanation:
Lets go with easy example:
20% of 100 students means 20 students: what is done there
- We converted 20% to 20/100 so
![\frac{20}{100}*100=20](https://tex.z-dn.net/?f=%5Cfrac%7B20%7D%7B100%7D%2A100%3D20)
Lets do the same with 80 students as well
Answer:
![f''(x)=36x^2+4](https://tex.z-dn.net/?f=f%27%27%28x%29%3D36x%5E2%2B4)
Step-by-step explanation:
Let's start by finding the first derivative of
. We can do so by using the power rule for derivatives.
The power rule states that:
This means that if you are taking the derivative of a function with powers, you can bring the power down and multiply it with the coefficient, then reduce the power by 1.
Another rule that we need to note is that the derivative of a constant is 0.
Let's apply the power rule to the function f(x).
Bring the exponent down and multiply it with the coefficient. Then, reduce the power by 1.
Simplify the equation.
Now, this is only the first derivative of the function f(x). Let's find the second derivative by applying the power rule once again, but this time to the first derivative, f'(x).
Simplify the equation.
Therefore, this is the 2nd derivative of the function f(x).
We can say that: ![f''(x)=36x^2+4](https://tex.z-dn.net/?f=f%27%27%28x%29%3D36x%5E2%2B4)
Each brother will get A. $147.59