he half-life of a certain radioactive substance is 14 days. There are 6.6 grams of the substance present initially. Which equati
on represents the number of grams of the radioactive substance on day 42 ?
2 answers:
Answer:
Step-by-step explanation:
half-life of 14 days, basically means it reduces by 50% or half every 14 days.
This can generally be expressed as: , where h=half life, and t=time, where the unit of time for t and half-life is the same. also a is the initial value.
So we can express this half-life equation as: where t=days.
So plugging in 42 days in here, we get:
The reason for this is because 42 days is 3 half-lives.
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remember
(x^m)/(x^n)=x^(m-n)
and
(x^m)^n=x^(mn)
and
(xyz)^m=(x^m)(y^m)(z^m)
and
(m/n)^a=(m^a)/(n^a)
and
x^-n=1/(x^n)
so