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Sveta_85 [38]
3 years ago
15

Question is in the picture

Mathematics
1 answer:
aleksandr82 [10.1K]3 years ago
6 0

Answer:

y = 2x - 7

Step-by-step explanation:

When x is equal to 0, then the y value is your y-intercept. So, your y-intercept is -7.

Now, pick two points. Let's pick (-1,-9) and (0,-7). We can add these into the slope formula.

Slope(m)=\frac{y2-y1}{x2-x1}

m=\frac{-7-(-9)}{0-(-1)}

m=\frac{2}{1}

m=2

Now, we can use the slope and the y-intercept and put them into a slope-intercept equation.

y=mx+b

y=2x-7

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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,

Substitute the value of A = 100 milligrams in [1] we get;

100= 500e^{-0.1386t}

Divide both sides by 500 we get;

\frac{100}{500}=\frac{ 500e^{-0.1386t}}{500}

Simplify:

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

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

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

\log_e (\frac{1}{5})=-0.1386t         [ Using \log_e e^a =a ]

or

\log_e (0.2)=-0.1386t

-1.6094379124341 = -0.1386t

 [using value of \log_e (0.2) = -1.6094379124341 ]

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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