Answer:
none
Step-by-step explanation:
becàuse it has thesame masses
Answer:
-2x-2
For a line equation for the form of y = mx +b, the slope is m
m= -2
The function has no undefined points nor domain
constraints. There fore, the domain is
domain: -∞<x<∞
The range of polynomial with odd degrees is all the real numbers
range: -∞<f(x)<∞
Step-by-step explanation:
graph is inserted
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,
Well you first have to divide the 4 1/4 by 2 so it will be 2 1/2 and just add the rest
(125)
Answer:
h = 16
Step-by-step explanation:
By applying the Pythagorean Theorem, the slant height is given by the formula:
![\sqrt{r^2+h^2}](https://tex.z-dn.net/?f=%5Csqrt%7Br%5E2%2Bh%5E2%7D)
34 = ![\sqrt{30^2 + h^2}](https://tex.z-dn.net/?f=%5Csqrt%7B30%5E2%20%2B%20h%5E2%7D)
![34^2 = 30^2 + h^2](https://tex.z-dn.net/?f=34%5E2%20%3D%2030%5E2%20%2B%20h%5E2)
![1156 = 900 + h^2](https://tex.z-dn.net/?f=1156%20%3D%20900%20%2B%20h%5E2)
![256 = h^2](https://tex.z-dn.net/?f=256%20%3D%20h%5E2)
![h = \sqrt{256}](https://tex.z-dn.net/?f=h%20%3D%20%5Csqrt%7B256%7D)
![h = 16](https://tex.z-dn.net/?f=h%20%3D%2016)