Answer:
25x
Step-by-step explanation:
25•x is 25x.
Until you know what x is you cannot do anything
Once you find out what x is you can plug in the number in the x space to get 25•__
I hope this helped!
The solution to the system (3,11) means that Alley Cat and Bob's bowling will cost the same if 3 games are played.....the cost will be $ 11.00
Answer:
The volume is increasing at a rate of 33929.3 cubic millimeters per second.
Step-by-step explanation:
Volume of a sphere:
The volume of a sphere of radius r is given by:
![V = \frac{4\pi r^3}{3}](https://tex.z-dn.net/?f=V%20%3D%20%5Cfrac%7B4%5Cpi%20r%5E3%7D%7B3%7D)
In this question:
We have to derivate V and r implicitly in function of time, so:
![\frac{dV}{dt} = 4\pi r^2\frac{dr}{dt}](https://tex.z-dn.net/?f=%5Cfrac%7BdV%7D%7Bdt%7D%20%3D%204%5Cpi%20r%5E2%5Cfrac%7Bdr%7D%7Bdt%7D)
The radius of a sphere is increasing at a rate of 3 mm/s.
This means that ![\frac{dr}{dt} = 3](https://tex.z-dn.net/?f=%5Cfrac%7Bdr%7D%7Bdt%7D%20%3D%203)
How fast is the volume increasing when the diameter is 60 mm?
Radius is half the diameter, so
. We have to find
. So
![\frac{dV}{dt} = 4\pi r^2\frac{dr}{dt}](https://tex.z-dn.net/?f=%5Cfrac%7BdV%7D%7Bdt%7D%20%3D%204%5Cpi%20r%5E2%5Cfrac%7Bdr%7D%7Bdt%7D)
![\frac{dV}{dt} = 4\pi (30)^2(3) = 33929.3](https://tex.z-dn.net/?f=%5Cfrac%7BdV%7D%7Bdt%7D%20%3D%204%5Cpi%20%2830%29%5E2%283%29%20%3D%2033929.3)
The volume is increasing at a rate of 33929.3 cubic millimeters per second.
Answer:
![y=-3](https://tex.z-dn.net/?f=y%3D-3)
Step-by-step explanation:
*Notice that they have the same
value.
<em>Hope this helps!!</em>