0.4 is multiplying itself a number of times.
0.4 is the base.
The number of equal factors of 0.4 is 5, so the exponent is 5.
0.4^5
0.4 is the base.
The number of equal factors of 0.4 is 5, so the exponent is 5.
0.4^5
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2 answers:
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Answer:
The half-life of the radioactive substance is of 3.25 days.
Step-by-step explanation:
The amount of radioactive substance is proportional to the number of counts per minute:
This means that the amount is given by the following differential equation:
In which k is the decay rate.
The solution is:
In which Q(0) is the initial amount:
8000 counts per minute on a Geiger counter at a certain time
This means that
500 counts per minute 13 days later.
This means that . We use this to find k.
So
Determine the half-life of the radioactive substance.
This is t for which Q(t) = 0.5Q(0). So
The half-life of the radioactive substance is of 3.25 days.