Step-by-step explanation:
multiplication is the mathematical operation used with scale factor
Percent Change = New Value − Old Value|Old Value| × 100%
Example: There were 200 customers yesterday, and 240 today:
240 − 200|200|× 100% = 40200 × 100% = 20%
A 20% increase.
Percent Error = |Approximate Value − Exact Value||Exact Value| × 100%
Example: I thought 70 people would turn up to the concert, but in fact 80 did!
|70 − 80||80| × 100% = 1080 × 100% = 12.5%
I was in error by 12.5%
(Without using the absolute value, the error is −12.5%, meaning I under-estimated the value)
The difference between the two is that one states factual calculations and the other is a theoretical guess
Step-by-step explanation:
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C. 5x - 2y = 16 is your answer
plug in each point into the equation.
(2, -3)
x = 2, y = -3
5(2) - 2(-3) = 16
10 + 6 = 16
16 = 16 (True)
(4,2)
x = 4, y = 2
5(4) - 2(2) = 16
20 - 4 = 16
16 = 16 (True)
hope this helps
Answer:
Step-by-step explanation:
Given
Represent volume with v, height with h and radius with r
Required
Determine the values of h and r that uses the least amount of material
Volume is calculated as:
Substitute 432π for V
Divide through by π
Make h the subject:
Surface Area (A) of a cylinder is calculated as thus:
Substitute 
for h in
Factorize:
To minimize, we have to differentiate both sides and set 
Set
Divide through by 
Cross Multiply
Divide through by 2
Take cube roots of both sides
![r = \sqrt[3]{216}](https://tex.z-dn.net/?f=r%20%3D%20%5Csqrt%5B3%5D%7B216%7D)
Recall that:
Hence, the dimension that requires the least amount of material is when
