Answer:
Step-by-step explanation:
For this exercise it is important to remember the following:
Given the following expression:
You can notice that the radicand (the number inside the square root) is negative. Therefore, in order to simplify the expression, you need to follow these steps:
1. Replace with and simplify:
2. Descompose 12 into its prime factors:
3. Substitute into the expression:
4. Since , you can simplify it:
Answer:
Step-by-step explanation:
Complete question
Required
Solve for x
We have:
Collect like terms
Multiply through by
Make x the subject
The CPI increased from 29.6 to 82.4.
The rate of increase, is:
82.4/29.6 = 2.78
Now multiply this rate to the $0.14 price of grapes from 1960.
$0.14 x 2.78 = $0.39
Now to get the amount of increase subtract the new price from the original price:
$0.39 - $0.14 = $0.25 increase.
Solve for m:C = 1/3 π d^2 m
C = 1/3 d^2 m π is equivalent to 1/3 d^2 m π = C:1/3 π d^2 m = C
Divide both sides by (π d^2)/3:Answer: m = (3 C)/(π d^2)