Answer:
$ 9.68
Step-by-step explanation:
a person who earns $387.20. in 40 earns will earn $9.68 in one hour
Answer:
78 79 80
Step-by-step explanation:
Let the smallest number = x
Let the next number = x + 1
Let the largest number = x + 2
x + x + 1 + x + 2 = 237 Add together to get the equation
3x + 3 = 237 Subtract 3 from both sides.
3x + 3 - 3 = 237 - 3 Combine the right
3x = 234 Divide by 3
x = 234/3
x = 78
The smallest number is 78
The next number 79
The highest number is 80
the circle has a diameter of 12, thus its radius is half that, or 6.
![\bf \textit{area of a circle}\\\\ A=\pi r^2~~ \begin{cases} r=radius\\[-0.5em] \hrulefill\\ r=6 \end{cases}\implies A=\pi 6^2\implies A=36\pi \\\\\\ A \approx 113.0973355\implies A=\stackrel{\textit{rounded up}}{113.1}](https://tex.z-dn.net/?f=%5Cbf%20%5Ctextit%7Barea%20of%20a%20circle%7D%5C%5C%5C%5C%20A%3D%5Cpi%20r%5E2~~%20%5Cbegin%7Bcases%7D%20r%3Dradius%5C%5C%5B-0.5em%5D%20%5Chrulefill%5C%5C%20r%3D6%20%5Cend%7Bcases%7D%5Cimplies%20A%3D%5Cpi%206%5E2%5Cimplies%20A%3D36%5Cpi%20%5C%5C%5C%5C%5C%5C%20A%20%5Capprox%20113.0973355%5Cimplies%20A%3D%5Cstackrel%7B%5Ctextit%7Brounded%20up%7D%7D%7B113.1%7D)
Answer:
area = 121.5
Step-by-step explanation:
See below for a plot and the integral. We assume you are interested in the entire bounded region.
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![\displaystyle\text{area}=\int_{-5}^4{(20-x-x^2)}\,dx=\left.20x-\dfrac{x^2}{2}-\dfrac{x^3}{3}\right|_{-5}^4\\\\=20(4-(-5))-\dfrac{4^2-(-5)^2}{2}-\dfrac{4^3-(-5)^3}{3}\\\\=180+\dfrac{9}{2}-63=121.5](https://tex.z-dn.net/?f=%5Cdisplaystyle%5Ctext%7Barea%7D%3D%5Cint_%7B-5%7D%5E4%7B%2820-x-x%5E2%29%7D%5C%2Cdx%3D%5Cleft.20x-%5Cdfrac%7Bx%5E2%7D%7B2%7D-%5Cdfrac%7Bx%5E3%7D%7B3%7D%5Cright%7C_%7B-5%7D%5E4%5C%5C%5C%5C%3D20%284-%28-5%29%29-%5Cdfrac%7B4%5E2-%28-5%29%5E2%7D%7B2%7D-%5Cdfrac%7B4%5E3-%28-5%29%5E3%7D%7B3%7D%5C%5C%5C%5C%3D180%2B%5Cdfrac%7B9%7D%7B2%7D-63%3D121.5)
I hope this helps you
(f+g)(x)=2x+1+x^2-7
(f+g)(z)=x^2+2x-6