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LenKa [72]
3 years ago
9

The answer for this problem

Mathematics
1 answer:
saveliy_v [14]3 years ago
3 0

Answer:

  \textbf{C}\quad\dfrac{13}{20}=\dfrac{25}{40} \qquad\textbf{FALSE}

Step-by-step explanation:

Each of the equations represents equivalent fractions except the one in choice C.

  13/20 = 26/40, not 25/40.

_____

<em>Comment on equal sign</em>

IMO, one should never use an equal sign where things are not equal--unless there is a clear indication you understand they are not equal. The equal sign should be regarded as a sacred symbol, with very specific rules as to its meaning and use.

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The antibiotic clarithromycin is eliminated from the body according to the formula A(t) = 500e−0.1386t, where A is the amount re
PolarNik [594]

Answer:

Time(t) = 11.61 hours (Rounded to two decimal place)

Step-by-step explanation:

Given: The antibiotic  clarithromycin is eliminated from the body according to the formula:

A(t) = 500e^{-0.1386t}                 ......[1]

where;

A - Amount remaining in the body(in milligram)

t - time in hours after the drug reaches peak concentration.

Given: Amount of drug in the body is reduced to 100 milligrams.

then,

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Divide both sides by 500 we get;

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Simplify:

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Taking logarithm both sides with base e, then we have;

\log_e (\frac{1}{5})= \log_e (e^{-0.1386t})

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or

\log_e (0.2)=-0.1386t

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then;

t = \frac{-1.6094379124341}{-0.1386}

Simplify:

t ≈11.61 hours.

Therefore, the time 11.61 hours(Rounded two decimal place) will pass before the amount of drug in the body is reduced to 100 milligrams


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