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azariah7
18.02.2021 •
Mathematics
Radium-226 has a half-life of 1660 years. How many years does it take a radium sample to decay to 55% of the original amount? Round your answer to the nearest year.
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Ответ:
1432 years
Step-by-step explanation:
A(t) = I(0.5)^t/t1/2
Where t1/2 = half life = 1660
Final amount, A(t) = 0.55 of its original amount =. 0.55I
Hence, we have
0.55I = I(0.5)^t/1660
Take the log of both sides
Log(0.55) = log(0.5)^t/1660
t/1660 = log(0.55) / log(0.5)
t/1660 = 0.8624964
t = 0.8624964 * 1660
t = 1431.7441
t = 1432(nearest whole number)
Ответ:
x + 2y = 7
+ x - 2y = -1
—————————
2x = 6
Now that we eliminated 2y because they cancel out, we are left with 2x = 6. Divide both sides by 2 in order to get x.
The answer is: x = 3.
Now that we know the numerical value of x, all we have to do is plug x into either system of equation in order to find the numerical value of y.
x + 2y = 7
3 + 2y = 7
2y = 4
y = 2
The solution to the problem is (3, 2).