11z > -33
11z / 11 > 33 / 11
z > 3
Hope it helps!
Answer:
1920π
Step-by-step explanation:
First, you need to find the volume of the statue in terms of pi.
Volume of cylinder formula:
V=πr²h
V=π4²15
V=π16×15
V=240π
Then, you need to find the mass of the statue.
Mass:
Mass= density × volume
Mass=20×240π
Mass=4800π
Now, you need to find the volume. Since the sand has to weigh the same as the statue, the mass is going to stay the same. To find the volume you need to do:
V=mass of sand/density
V=4800π/2.5
That gives you your answer:
1920π
Note: I had to do the exact same problem on Khan Academy. This is right.
9514 1404 393
Answer:
n = 6
Step-by-step explanation:
Add 2 and collect terms
3n = 18
Divide by 3
n = 6
Step-by-step explanation:
I'll do one for you.
Using the formula for turning exponents into radicals
![(b) {}^{ \frac{x}{y} } = \sqrt[y]{b} {}^{x}](https://tex.z-dn.net/?f=%28b%29%20%7B%7D%5E%7B%20%5Cfrac%7Bx%7D%7By%7D%20%7D%20%20%3D%20%20%20%20%5Csqrt%5By%5D%7Bb%7D%20%7B%7D%5E%7Bx%7D%20%20)
where b is the base
This means that the numerator in the exponet form becomes the power under the radical in radical form and
the denominator in exponet form becomes the nth root in radical form.
For example 5,
That becomes in radical form
![\sqrt[5]{5 {}^{ - 3} }](https://tex.z-dn.net/?f=%20%5Csqrt%5B5%5D%7B5%20%7B%7D%5E%7B%20-%203%7D%20%7D%20)
or if you want to write it using positive exponents
![\frac{1}{ \sqrt[5]{5 {}^{3} } }](https://tex.z-dn.net/?f=%20%5Cfrac%7B1%7D%7B%20%5Csqrt%5B5%5D%7B5%20%7B%7D%5E%7B3%7D%20%7D%20%7D%20)
I'll do one more for you
For example 6,
That becomes in radical form
![\sqrt[3]{11 {}^{4} }](https://tex.z-dn.net/?f=%20%5Csqrt%5B3%5D%7B11%20%7B%7D%5E%7B4%7D%20%7D%20)
