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Orlov [11]
3 years ago
6

What is the domain of this function?

Mathematics
1 answer:
sineoko [7]3 years ago
6 0

Answer:

the domain of THIS function is d

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The diagram shows a circular pond, of radius r metres, surrounded by a circular path.The circular path has a constant width of 1
Alenkasestr [34]

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>

<em />

Learn more on area of composite figures here: brainly.com/question/15981553

3 0
3 years ago
The data set represents a progression of hourly temperature measurements.Use the regression equation to predict the temperature
zimovet [89]
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:
T(h)=20.2-3.6h-0.875h^2
I used h to denote hours. Our prediction of temperature for the sixth hour would be:
T(6)=20.2-3.6(6)-0.875(6)^2=-32.9
Here is a link to the spreadsheet  (<span>https://docs.google.com/spreadsheets/d/17awPz5U8Kr-ZnAAtastV-bnvoKG5zZyL3rRFC9JqVjM/edit?usp=sharing)</span>

4 0
3 years ago
Read 2 more answers
In the past month, Josh rented one video game and six DVDs. The rental price for the video game who is $2.50. The rental price f
dolphi86 [110]

Answer:

total amount paid = $ 22.9

Step-by-step explanation:

total price = $ 2.5 + $3.4(6)= $22.9

5 0
3 years ago
Read 2 more answers
6. Parker, Inc. used Excel to run a least-squares regression analysis, which resulted in the following output: Regression Statis
aleksley [76]

Answer:

"34,814" is the correct solution.

Step-by-step explanation:

The given values are:

Intercept coefficient,

\beta_0 = 23,859

Production coefficient,

\beta_1 = 3.13

Units sold,

x = 3,500

Now,

The total cost will be:

⇒  \bar{y}=\beta_0+\beta_1 x

On substituting the estimated values, we get

⇒     =23,859+3.13\times 3,500

⇒     =23,859+10,955

⇒     =34,814

4 0
3 years ago
Please answer asap!!!
torisob [31]

fjsefkn jWESHGFcsVBU LJFWGVfyitWHJEasdasdaFsedfsEfSEfsefsesefsfseereeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeee

5 0
3 years ago
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