The value of x in terms of p is 15/p.
The value of x when p is -5 is -3.
Pls tell me if i’m wrong in any way!
Patty because she has the lowest time out of them all. From least to greatest Patty would be the least with her time being shorter than the rest
Answer:
its b
Step-by-step explanation:
Answer:
The year is 1979.
Step-by-step explanation:
Given:
The function relating fish population and number of years since 1972 is:
![f(x)=230(0.886)^x\\Where,\ f(x)\rightarrow \textrm{fish population}\\x\rightarrow \textrm{number of years passed after 1972}](https://tex.z-dn.net/?f=f%28x%29%3D230%280.886%29%5Ex%5C%5CWhere%2C%5C%20f%28x%29%5Crightarrow%20%5Ctextrm%7Bfish%20population%7D%5C%5Cx%5Crightarrow%20%5Ctextrm%7Bnumber%20of%20years%20passed%20after%201972%7D)
Now, when the fish population reaches 99 thousand, it means that
. Now, plugging in
in the above equation and solving for
. This gives,
![99=230(0.886)^x\\\frac{99}{230}=0.886^x\\\\\textrm{Taking natural log on both sides}\\\ln(0.886)^x=\ln(\frac{99}{230})\\\\\textrm{Using log property: }\log a^b=b\log a\\x\ln (0.886)=\ln(0.43)\\x\times (-0.12)=-0.84\\x=\frac{-0.84}{-0.12}=7\ years](https://tex.z-dn.net/?f=99%3D230%280.886%29%5Ex%5C%5C%5Cfrac%7B99%7D%7B230%7D%3D0.886%5Ex%5C%5C%5C%5C%5Ctextrm%7BTaking%20natural%20log%20on%20both%20sides%7D%5C%5C%5Cln%280.886%29%5Ex%3D%5Cln%28%5Cfrac%7B99%7D%7B230%7D%29%5C%5C%5C%5C%5Ctextrm%7BUsing%20log%20property%3A%20%7D%5Clog%20a%5Eb%3Db%5Clog%20a%5C%5Cx%5Cln%20%280.886%29%3D%5Cln%280.43%29%5C%5Cx%5Ctimes%20%28-0.12%29%3D-0.84%5C%5Cx%3D%5Cfrac%7B-0.84%7D%7B-0.12%7D%3D7%5C%20years)
Therefore, the year after 7 years passed since 1972 is given as:
1972 + 7 = 1979.
So, the year when the number of fish reaches 99 thousand is 1979.