9514 1404 393
Answer:
5z^(-5/3)
Step-by-step explanation:
The rules of exponents being used here are ...
![\sqrt[n]{a}=a^{1/n}\\\\\dfrac{a^b}{a^c}=a^{b-c}](https://tex.z-dn.net/?f=%5Csqrt%5Bn%5D%7Ba%7D%3Da%5E%7B1%2Fn%7D%5C%5C%5C%5C%5Cdfrac%7Ba%5Eb%7D%7Ba%5Ec%7D%3Da%5E%7Bb-c%7D)
Using these rules on the given expression, we find ...
![\dfrac{10\sqrt[3]{z}}{2z^2}=\dfrac{10}{2}z^{1/3-2}=\boxed{5z^{-5/3}}](https://tex.z-dn.net/?f=%5Cdfrac%7B10%5Csqrt%5B3%5D%7Bz%7D%7D%7B2z%5E2%7D%3D%5Cdfrac%7B10%7D%7B2%7Dz%5E%7B1%2F3-2%7D%3D%5Cboxed%7B5z%5E%7B-5%2F3%7D%7D)
Answer:
Step-by-step explanation:
It's awfully deep.
1 minute = 65 meters
10 minutes = 10 * 65 = 650 meters below sea level.
SAS, side angle side congruency
Answer:
25%
Step-by-step explanation:
Let us first derive an equation for the productivity.
Given
No. of houses = 1 (Assumption)
Amount of Chemicals = 30 (10 x A, B, C)
Now the formula for productivity is as follow
Productivity % (P) = (Output/Input) * 100
Assuming the current productivity is 100%. We get the value for required output but using the value of 30 (Amount of Chemicals) as Input

Since we now know the value for desired output. We replace the value of input by 40, since 10 lbs of Chemicals have been increased per house.

The new Productivity is 75%
There is a reduction of 25% in productivity