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tayler4766
30.10.2020 •
Mathematics
The half-life of radioactive strontium-90 is 29 years. In 1960, radioactive strontium-90 was released into the atmosphere during testing of nuclear weapons, and was absorbed into people's bones. How many years does it take until only 6% of the original amount absorbed remains?
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Ответ:
117.7 years
Step-by-step explanation:
We have half life formula,
A=P![(0.5)^{\frac{t}{d} }](/tpl/images/0855/3053/00ea6.png)
Where ''t'' is number of years
d is half life period.
We know d=29
Where A=6% =0.06
P= 100%=1
Plug in the known values into the formula.
0.06= 1![(0.5)^{\frac{t}{29} }](/tpl/images/0855/3053/0b3bb.png)
Divide both sides by 1.
It gives,
0.06=![(0.5)^{\frac{t}{29} }](/tpl/images/0855/3053/0b3bb.png)
Take log on both sides
log 0.06=
log(0.5)
Divide both sides by log 0.5
4.05889 =![\frac{t}{29}](/tpl/images/0855/3053/40554.png)
Multiply both sides 29
t =117.7079....
Approximately t= 117.7 years.
Ответ:
every tic mark in the graph represents 1 unit.