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MrMuchimi
3 years ago
9

If a =c+2 what is the value of c when a=5

Mathematics
1 answer:
nikdorinn [45]3 years ago
3 0
(5)=c+2                  Plug in your a value then combine like terms to find c
3=c
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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


6 0
3 years ago
Please help Probabilities
Maksim231197 [3]

Answer: The answer is D

6 0
3 years ago
Read 2 more answers
HELPP ANYBODY KNOW THE ANSWERS TO THE BLANKS IN THE GRAPH?
Margaret [11]

Answer:

5,234

Step-by-step explanation:

4 0
3 years ago
I need the answer for the Linear equation of the below graph
stellarik [79]

Answer:

y = - \frac{3}{4} x + 3

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

Calculate m using the slope formula

m = \frac{y_{2}-y_{1}  }{x_{2}-x_{1}  }

with (x₁, y₁ ) = (0, 3) and (x₂, y₂ ) = (4, 0) ← 2 points on the line

m = \frac{0-3}{4-0} = - \frac{3}{4}

The line crosses the y- axis at (0, 3 ) ⇒ c = 3

y = - \frac{3}{4} x + 3 ← equation of line

4 0
3 years ago
Clancy has 423 cups of yogurt to share with his friends at a party. Each guest will receive 1 serving of yogurt which is 34 of a
nikitadnepr [17]

Answer:

The equation needed is

\frac{3}{4}p=423

p=564\ friends

Step-by-step explanation:

<u><em>The correct question is</em></u>

Clancy has 423 cups of yogurt to share with his friends at a party. Each guest will receive 1 serving of yogurt which is 3/4 of a cup. Write a multiplication equation to determine the number of people, p, who can be invited to the party

we know that

Each guest will receive 3/4 of a cup of yogurt

so

using proportion

Find out the number of people, who can be invited to the party, if Clancy has 423 cups of yogurt to share with his friends

Let

p -----> the number of people

\frac{1}{(3/4)} =\frac{p}{423}

\frac{3}{4}p=423 -----> equation needed

p=\frac{423}{(3/4)}

p=\frac{423*4}{3}

p=\frac{1,692}{3}

p=564\ friends

8 0
3 years ago
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