Answer:
![320 = 10 (2)^{t/60}](https://tex.z-dn.net/?f=%20320%20%3D%2010%20%282%29%5E%7Bt%2F60%7D)
If we divide both sides by 10 we got:
![32 = 2^{t/60}](https://tex.z-dn.net/?f=%2032%20%3D%202%5E%7Bt%2F60%7D)
We can apply natural log on both sides and we got:
![ln (32) = \frac{t}{60} ln(2)](https://tex.z-dn.net/?f=%20ln%20%2832%29%20%3D%20%5Cfrac%7Bt%7D%7B60%7D%20ln%282%29%20)
And solving the value of t we got:
![t = 60 \frac{ln(32)}{ln(2)}= 300](https://tex.z-dn.net/?f=%20t%20%3D%2060%20%5Cfrac%7Bln%2832%29%7D%7Bln%282%29%7D%3D%20300)
So then we can conclude that after t = 300 days we will have approximately 320 rabbits
Step-by-step explanation:
For this case we have the following function:
![P(t) = 10 (2)^{t/60}](https://tex.z-dn.net/?f=%20P%28t%29%20%3D%2010%20%282%29%5E%7Bt%2F60%7D)
Where P is the population of rabbis on day t. And for this case we want to find the value of t when P =320 so we can set up the following equation:
![320 = 10 (2)^{t/60}](https://tex.z-dn.net/?f=%20320%20%3D%2010%20%282%29%5E%7Bt%2F60%7D)
If we divide both sides by 10 we got:
![32 = 2^{t/60}](https://tex.z-dn.net/?f=%2032%20%3D%202%5E%7Bt%2F60%7D)
We can apply natural log on both sides and we got:
![ln (32) = \frac{t}{60} ln(2)](https://tex.z-dn.net/?f=%20ln%20%2832%29%20%3D%20%5Cfrac%7Bt%7D%7B60%7D%20ln%282%29%20)
And solving the value of t we got:
![t = 60 \frac{ln(32)}{ln(2)}= 300](https://tex.z-dn.net/?f=%20t%20%3D%2060%20%5Cfrac%7Bln%2832%29%7D%7Bln%282%29%7D%3D%20300)
So then we can conclude that after t = 300 days we will have approximately 320 rabbits
Answer:
Step-by-step explanation:
i solve (a)
put x=2
3(2)³-4(2)²-5(2)+2=3(8)-16-10+2=24-26+2=0
so x=2 is one solution.
divide by 2 synthetically
2 |3 -4 -5 2
| 6 4 -2
|-------------------
3 2 -1 |0
3x²+2x-1=0
3x²+3x-x-1=0
3x(x+1)-1(x+1)=0
(x+1)(3x-1)=0
x=-1,1/3
so solutions are -1,1/3,2
Answer:
I dont know sorry so much
Since the probability of a head occuring when tossed a time is 1/2
x=head occuring 3 or more times
Pr(x>=3)=1-Pr(x<3)=1-(0.5)(0.5)^2
Pr(x>=3)=0.875
Answer:
any sides can be the side set for a triangle