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Dima020 [189]
3 years ago
9

The half-life of caffeine in a person’s bloodstream is about 6 hours. If a person’s bloodstream contains 80 milligrams of caffei

ne, how much of that caffeine will remain after 14 hours?
Mathematics
1 answer:
Luda [366]3 years ago
5 0
To calculate the remaining caffeine, we use the radioactive decay formula which is expressed as An = Aoe^-kt where An is the amount left after t time, Ao is the initial amount and k is a constant we can calculate from the half-life information. We do as follows:
 at half-life,
ln 1/2 = -k(6)
k = 0.12/hr

An = 80e^-0.12(14)
An = 15.87 mg
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Answer:

D = 59t

P = 42t

5 hours after noon, darmian is 17 miles closer to the stadium than paisley

Step-by-step explanation:

At noon, Damian is 383 miles away from the stadium and paisley is 315 miles away from the stadium.

Now, we are told that damians speed is 59 mph while paisley's speed is 42 mph.

At t hours after noon, their distance covered will be;

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This is because distance = speed × time

Now, 5 hours after noon, their respective distance covered will be;

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P(5) = 42 × 5 = 210 miles

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