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Nadusha1986 [10]
3 years ago
11

A (I cant say it on here for some reason )water fish tank requires a certain salinity. To reach this requirement, the relationsh

ip between gallons of water and pounds of salt needs to be proportional. The relationship can be modeled as a line on the coordinate plane where x represents the number of gallons of water and y represents the number of pounds of salt. If the line passes through the point (5,1.5) , what does that point represent?
Mathematics
1 answer:
FromTheMoon [43]3 years ago
3 0

Answer: Represents when the equation is at 5 gallons of water 1.5 pounds of salt is needed to have the correct salinity

Step-by-step explanation:

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Start by doing the binomial expansion of (x+y)^6 where x represents success. This is

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3 years ago
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Answer:

54

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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)

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

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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})

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or

\log_e (0.2)=-0.1386t

-1.6094379124341 = -0.1386t

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then;

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

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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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