Olivia has taken an initial dose of a prescription medication. The relationship between the elapsed time t, in hours, sinc

Question

Olivia has taken an initial dose of a prescription
medication.
The relationship between the elapsed time t, in hours,
since she took the first dose, and the amount of
medication M(t), in milligrams (mg), remaining in her
bloodstream is modeled by the following function.
M(t) = 50 .e-0.75t
How many milligrams of the medication will be remaining
in Olivia’s bloodstream after 6 hours?
Round your answer, if necessary, to the nearest
Hundredth

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Alaia 3 weeks 2021-11-07T07:20:38+00:00 1 Answer 0 views 0

Answers ( )

    0
    2021-11-07T07:21:46+00:00

    Answer:

      0.56 milligrams

    Step-by-step explanation:

    Put 6 where t is and do the arithmetic.

      M(6) = 50·e^(-0.75·6) = 50·e^-4.5 ≈ 0.56 . . . . milligrams

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