Answer:
![r = \sqrt[3]{\frac{3V}{4 \pi}}](https://tex.z-dn.net/?f=r%20%3D%20%5Csqrt%5B3%5D%7B%5Cfrac%7B3V%7D%7B4%20%5Cpi%7D%7D)
Step-by-step explanation:
From the formula of volume of a sphere we have to isolate "r" on one side of the equation i.e. we have to make "r" the subject of the equation.
![V=\frac{4}{3} \pi r^{3}\\\\ \text{Multiplying both sides by 3/4 we get}\\\\\frac{3V}{4} = \pi r^{3}\\\\ \text{Dividing both sides by } \pi \\\\ \frac{3V}{4 \pi} = r^{3}\\\\\text{Takeing cube root of both sides}\\\\\sqrt[3]{\frac{3V}{4 \pi}} = r](https://tex.z-dn.net/?f=V%3D%5Cfrac%7B4%7D%7B3%7D%20%5Cpi%20r%5E%7B3%7D%5C%5C%5C%5C%20%5Ctext%7BMultiplying%20both%20sides%20by%203%2F4%20we%20get%7D%5C%5C%5C%5C%5Cfrac%7B3V%7D%7B4%7D%20%3D%20%5Cpi%20r%5E%7B3%7D%5C%5C%5C%5C%20%5Ctext%7BDividing%20both%20sides%20by%20%7D%20%5Cpi%20%5C%5C%5C%5C%20%5Cfrac%7B3V%7D%7B4%20%5Cpi%7D%20%3D%20r%5E%7B3%7D%5C%5C%5C%5C%5Ctext%7BTakeing%20cube%20root%20of%20both%20sides%7D%5C%5C%5C%5C%5Csqrt%5B3%5D%7B%5Cfrac%7B3V%7D%7B4%20%5Cpi%7D%7D%20%3D%20r)
Therefore:
Answer:
Step-by-step explanation:
20 = 8x + 4r can be rewritten in multiple ways.
1. Reduce the coefficients: 5 = 2x + r
or
2. Solve for r: r = 5 - 2x
or
5 - r
3. Solve for x: x = -----------
2
A. First, divide 1675 by 100 to find 1% of it.
1675 / 100 = 16.75
Then, multiply 16.75 by 4.6 to get 4.6%.
16.75 x 4.6 = 77.05
77.05 is the interest for one year.
Multiply it by 4 to get the interest for 4 years.
77.05 x 4 = 308.20
The interest earned is $308.20.
B. Add the interest to the original balance to get the total.
308.20 + 1675 = 1983.20
The balance of the account is $1983.20 after 4 years.
Hope this help!
Answer:
(2x + y)(2x - y)
Step-by-step explanation:
1. Simplify the square 4x²:
(2x)² - y²
2. Apple the difference of two squares formula <em>x² - y² = (x + y)(x - y)</em>:
(2x + y)(2x - y)
hope this helps!
The second one is the right answer
