The formula for calculating the area of a circle is expressed as;
A = πr²
- Area of the pond = πr²
- Area of the path = Area of the path + pond - area of pond
- Area of path = π(r+1.5)² - πr²
Since the area of the path is equal to the area of the pond, hence;
π(r+1.5)² - πr² = πr²
Add πr² to both sides
π(r+1.5)² - πr² + πr² = πr² + πr²
π(r+1.5)² = 2πr²
(r+1.5)² = 2r²
Expand the parenthesis
r²+3r + 2.25 = 2r²
r²+3r + 2.25 - 2r² = 0
-r² + 3r + 2.25 = 0
r² - 3r - 2.25 = 0
Multiply through by 2
2r² - 6.0r - 4.5 = 0
<em>This proves the required equation</em>
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Learn more on area of composite figures here: brainly.com/question/15981553
I will attach google sheet that I used to find regression equation.
We can see that linear fit does work, but the polynomial fit is much better.
We can see that R squared for polynomial fit is higher than R squared for the linear fit. This tells us that polynomials fit approximates our dataset better.
This is the polynomial fit equation:

I used h to denote hours. Our prediction of temperature for the sixth hour would be:

Here is a link to the spreadsheet (
<span>https://docs.google.com/spreadsheets/d/17awPz5U8Kr-ZnAAtastV-bnvoKG5zZyL3rRFC9JqVjM/edit?usp=sharing)</span>
Answer:
total amount paid = $ 22.9
Step-by-step explanation:
total price = $ 2.5 + $3.4(6)= $22.9
Answer:
"34,814" is the correct solution.
Step-by-step explanation:
The given values are:
Intercept coefficient,

Production coefficient,
Units sold,
x = 3,500
Now,
The total cost will be:
⇒ 
On substituting the estimated values, we get
⇒ 
⇒ 
⇒ 
fjsefkn jWESHGFcsVBU LJFWGVfyitWHJEasdasdaFsedfsEfSEfsefsesefsfseereeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeee