Answer:
4) The square root of 25 is rational
5) pi is irrational
Step-by-step explanation:
To know if the answer is rational or irrational, check to see if they can be turned into a fraction.
Answer:
5(-2z+6)
30-10z
-10z+30
Step-by-step explanation:
Kudos to the poster on the typeset math.
With cube roots we don't have to worry that things are positive.
![\sqrt[3]{16 x^4} - \sqrt[3]{128 x} = \sqrt[3]{2^4 x^4} - \sqrt[3]{2^7 x} = \sqrt[3]{2^3 x^3 2x} - \sqrt[3]{4^3 2 x} = 2x\sqrt[3]{2x} - 4\sqrt[3]{2 x}](https://tex.z-dn.net/?f=%20%5Csqrt%5B3%5D%7B16%20x%5E4%7D%20-%20%5Csqrt%5B3%5D%7B128%20x%7D%20%3D%20%20%5Csqrt%5B3%5D%7B2%5E4%20x%5E4%7D%20-%20%5Csqrt%5B3%5D%7B2%5E7%20x%7D%20%3D%20%5Csqrt%5B3%5D%7B2%5E3%20x%5E3%202x%7D%20-%20%5Csqrt%5B3%5D%7B4%5E3%202%20x%7D%20%3D%202x%5Csqrt%5B3%5D%7B2x%7D%20-%204%5Csqrt%5B3%5D%7B2%20x%7D)
![= (2x-4)\sqrt[3]{2 x}](https://tex.z-dn.net/?f=%3D%20%282x-4%29%5Csqrt%5B3%5D%7B2%20x%7D%20%20%20)
Answer:
c = 12
Step-by-step explanation:
the ratio of sides in a 30-60-90° triangle, respectively, is 1: 
: 2
if side opposite 30° is 6 then hypotenuse equals 12
Answer:
The employee would earn $320 for a 40-hour work week.
Step-by-step explanation:
Given
- Total Earning amount = $72.00
- Total Time taken = 9 hours
To determine
We have to find the employee's earning earn for a 40-hour work week.
<u>First Step</u>
Determining the hourly rate
In order to determine the hourly rate, the first step we need to do is to divide the earning amount by the total number of hours.
Hourly rate = Total Earning amount / Total Time taken
= $72.00 / 9 hours
= $8.00 per hour
<u>Second Step</u>
Determining the employee's earning earn for a 40-hour work week.
As we have already determined that employee is earning $8.00 per hour.
i.e.
- Hourly rate = $8.00 per hour
In order to determine the employee's earning for a 40-hour work week, all we need is to multiply the hourly rate i.e. 8 with 40.
Thus,
Earning for 40-hour work week = Hourly rate × 40
= 8.00 × 40
= $320
Therefore, the employee would earn $320 for a 40-hour work week.
