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ra1l [238]
3 years ago
11

The milligrams of a asprin in a persons body is given by the equation a=500 (3/4)^t where the t is the numbers of hours since th

e patient took the medicine. How much asprin will be in the patients body after two hours
Mathematics
1 answer:
Anit [1.1K]3 years ago
3 0

Answer: 281.25 milligram

Step-by-step explanation:

Given

Milligrams of aspirin left after t hours is given by

\Rightarrow a=500(\frac{3}{4})^t

for t=2\ hr

\Rightarrow a=500(\frac{3}{4})^2\\\Rightarrow a=500\times (0.75)^2=281.25\ \text{milligram}

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The question is incomplete. The complete question is :

Let p(t) = -0.0375t^2 + 0.225t  be the density function for the shelf life of a brand of banana which lasts up to 4 weeks. Time, t, is measured in weeks and $0 \leq t \leq 4$. Incorrect answer icon Your answer is incorrect. Find the mean shelf life of a banana using . Round your answer to one decimal place.

Answer:

2.4

Step-by-step explanation:

 Given :

p(t) = -0.0375t^2 + 0.225t

Mean :

$=\int_0^4 tp (t) \ dt$

$=\int_0^4 t (0.0375 t^2 + 0.225t) \ dt$

$=-0.0375 \int_0^4 t^3 \ dt + 0.225 \int_0^4 t^2 \ dt$

$=-0.0375 \left[ \frac{t^4}{4} \right]^4_0 + 0.225 \left[ \frac{t^3}{3} \right]^4_0$

$=-0.0375 (64) + 0.225 \left( \frac{64}{3} \right)$

$=-2.5 + 4.8$

= 2.4

Therefore, the mean is 2.4

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3 years ago
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Answer:

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Step-by-step explanation:

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Answer:

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Step-by-step explanation:

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