6/276 = 0.022
Or if you want a simplified fraction, then 1/46
Answer:
13. B) You pull a green tile from a bag of tiles, return it, and then pull a yellow tile.
14. A) 1/2.
How this helps you! (:
-Hamilton1757
If
is the amount of strontium-90 present in the area in year
, and it decays at a rate of 2.5% per year, then
![S(t+1)=(1-0.025)S(t)=0.975S(t)](https://tex.z-dn.net/?f=S%28t%2B1%29%3D%281-0.025%29S%28t%29%3D0.975S%28t%29)
Let
be the starting amount immediately after the nuclear reactor explodes. Then
![S(t+1)=0.975S(t)=0.975^2S(t-1)=0.975^3S(t-2)=\cdots=0.975^{t+1}S(0)](https://tex.z-dn.net/?f=S%28t%2B1%29%3D0.975S%28t%29%3D0.975%5E2S%28t-1%29%3D0.975%5E3S%28t-2%29%3D%5Ccdots%3D0.975%5E%7Bt%2B1%7DS%280%29)
or simply
![S(t)=0.975^ts](https://tex.z-dn.net/?f=S%28t%29%3D0.975%5Ets)
So that after 50 years, the amount of strontium-90 that remains is approximately
![S(50)=0.975^{50}s\approx0.282s](https://tex.z-dn.net/?f=S%2850%29%3D0.975%5E%7B50%7Ds%5Capprox0.282s)
or about 28% of the original amount.
We can confirm this another way; recall the exponential decay formula,
![S(t)=se^{kt}](https://tex.z-dn.net/?f=S%28t%29%3Dse%5E%7Bkt%7D)
where
is measured in years. We're told that 2.5% of the starting amount
decays after 1 year, so that
![0.975s=se^k\implies k=\ln0.975](https://tex.z-dn.net/?f=0.975s%3Dse%5Ek%5Cimplies%20k%3D%5Cln0.975)
Then after 50 years, we have
![S(50)=se^{50k}\approx0.282s](https://tex.z-dn.net/?f=S%2850%29%3Dse%5E%7B50k%7D%5Capprox0.282s)
Answer:
1/4 cup for every cup
Step-by-step explanation:
If you divide 2 by 5, you would get this answer. Sorry if it's wrong!
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