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dommalb
25.08.2019 •
Mathematics
At time (t) hours after taking the cough suppressant hydrocodone bitartrate, the amount, a, in mg, remaining in the body is given by a = 14(0.8)^t.. what percent of the drug leaves the body each hour? . how much of the drug is left in the body 2 hours after the dose is administered? how long is it until only 1 mg of the drug remains in the body?
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Ответ:
t=2
A(t)=14(08)^t
A(t)=14(0.8)²=14(0.64)=8.96
after of two hours the amount of drug left in te body is 8.96 mg.
2)we calculate the time required to stay in the body 1 mg of drug.
A(t)=1
14(0.8)^t=1
ln [14(0.8)^t]=ln1
ln14+tln(0.8)=0
tln(0.8)=-ln 14
t=-ln 14 / ln (0.8)
t=11.8267...≈11.83
the time required is 11.83 hours (≈11 hours, 49 minutes, 48 seconds).
Ответ:
180-114= 66
Answer c