Answer:
x= 70
Step-by-step explanation:
The equation is: x/7-12= -2
First, do inverse operations. Do = +12 on each side to get rid of 12
Now: x/7=10
Multiply 7 on each side
Now: x=70
Hope this helped!!! :D
Answer:
![t=7.85 years](https://tex.z-dn.net/?f=t%3D7.85%20years)
Step-by-step explanation:
We can write this rate as an ordinary differential equation.
![\frac{dP}{dt}=aP](https://tex.z-dn.net/?f=%5Cfrac%7BdP%7D%7Bdt%7D%3DaP)
Where a is proportional constant, P the population variable, and t the time.
![\frac{dP}{P}=adt](https://tex.z-dn.net/?f=%5Cfrac%7BdP%7D%7BP%7D%3Dadt)
Integrating each side of the equation.
![\int \frac{dP}{P}=\int adt](https://tex.z-dn.net/?f=%5Cint%20%5Cfrac%7BdP%7D%7BP%7D%3D%5Cint%20adt)
![ln(P)=at+c](https://tex.z-dn.net/?f=ln%28P%29%3Dat%2Bc)
![P=e^{c}e^{at}=Ce^{at}](https://tex.z-dn.net/?f=P%3De%5E%7Bc%7De%5E%7Bat%7D%3DCe%5E%7Bat%7D)
To find C we need to use the initial condiction, it means evaluae P at t=0.
![P_{0}=Ce^{0}=C](https://tex.z-dn.net/?f=P_%7B0%7D%3DCe%5E%7B0%7D%3DC)
![P=P_{0}e^{at}](https://tex.z-dn.net/?f=P%3DP_%7B0%7De%5E%7Bat%7D)
Now, we use the sentence the population has doubled in 5 years.
![2P_{0}=P_{0}e^{a5}](https://tex.z-dn.net/?f=2P_%7B0%7D%3DP_%7B0%7De%5E%7Ba5%7D)
We can find "a" in this condition.
![2=e^{a5}](https://tex.z-dn.net/?f=2%3De%5E%7Ba5%7D)
![ln(2)=a5](https://tex.z-dn.net/?f=ln%282%29%3Da5)
![a=\frac{ln(2)}{5}](https://tex.z-dn.net/?f=a%3D%5Cfrac%7Bln%282%29%7D%7B5%7D)
![a=0.14](https://tex.z-dn.net/?f=a%3D0.14)
Finally, let's find how long will it take to triple.
![3P_{0}=P_{0}e^{0.14t}](https://tex.z-dn.net/?f=3P_%7B0%7D%3DP_%7B0%7De%5E%7B0.14t%7D)
![3=e^{0.14t}](https://tex.z-dn.net/?f=3%3De%5E%7B0.14t%7D)
![t=\frac{ln(3)}{0.14}](https://tex.z-dn.net/?f=t%3D%5Cfrac%7Bln%283%29%7D%7B0.14%7D)
![t=7.85 years](https://tex.z-dn.net/?f=t%3D7.85%20years)
I hope it helps you!
Answer:
I think the answer is 7 or 4
Answer:
If it means radius then (P,N) and (N,0)or (M,N)
Step-by-step explanation:
Answer:
n = 7
Step-by-step explanation:
:)