Answer: ![\frac{4\pi}{3} \text{ meter per hour}](https://tex.z-dn.net/?f=%5Cfrac%7B4%5Cpi%7D%7B3%7D%20%5Ctext%7B%20meter%20per%20hour%7D)
Step-by-step explanation:
The circular oil slick is expanding at a rate of ![2 m^2/h](https://tex.z-dn.net/?f=2%20m%5E2%2Fh)
Let A be the area of the circular oil slick,
So, the changes in A with respect to time (t),
![\frac{dA}{dt} = 2](https://tex.z-dn.net/?f=%5Cfrac%7BdA%7D%7Bdt%7D%20%3D%202)
![\frac{d(\pi r^2)}{dt} = 2](https://tex.z-dn.net/?f=%5Cfrac%7Bd%28%5Cpi%20r%5E2%29%7D%7Bdt%7D%20%3D%202)
![2\pi r\frac{dr}{dt} = 2](https://tex.z-dn.net/?f=2%5Cpi%20r%5Cfrac%7Bdr%7D%7Bdt%7D%20%3D%202)
Also, the change in diameter with respect to time(t),
![\frac{d}{dt} (2 r) = 2 \frac{dr}{dt}](https://tex.z-dn.net/?f=%5Cfrac%7Bd%7D%7Bdt%7D%20%282%20r%29%20%3D%202%20%5Cfrac%7Bdr%7D%7Bdt%7D)
![\frac{d}{dt} (2 r) = 2 \times \frac{1}{\pi r}](https://tex.z-dn.net/?f=%5Cfrac%7Bd%7D%7Bdt%7D%20%282%20r%29%20%3D%202%20%5Ctimes%20%5Cfrac%7B1%7D%7B%5Cpi%20r%7D)
![\frac{d}{dt} (2 r) = \frac{2}{\pi r}](https://tex.z-dn.net/?f=%5Cfrac%7Bd%7D%7Bdt%7D%20%282%20r%29%20%3D%20%5Cfrac%7B2%7D%7B%5Cpi%20r%7D)
For r = 1.5 m,
Answer:
y - x + 8 = 0
Step-by-step explanation:
divide all sides by 4
Answer:
Step-by-step explanation:
hello : this is an solution
Because 585k > 500k, then the commission would be 6%.
Percent: 6% = 0.06
Now we will multiply the cost of the house by the percentage to find the commission amount:
1) 0.06(585,000) = 35,100
The total amount the agent will receive would be $35,100.
1. 600 / 900 = 260/x
234,000 / 600 = 390
the length = 390 feet
2. 100/20 = d/60
100/20 = 5
d = 60x5 = 300 feet