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3 years ago

Help Please. I'm no good when it comes to math

Mathematics

1 answer:

Natali [406]3 years ago

7 0

Answer: question 5 is C

Question 4 is 37.68

Question 3 is 153.86 ft sq

The question about finding the area with a diameter of 16mm is 803.84

The next one is A. 25÷8

Step-by-step explanation:

C = 2 pi r

C = 2 pi (7.8) and you get 49.01

Becuse the question is asking to round c is the best choice

When using the formula of C = 2 pi r, since radius is half of the diameter, 12÷2=6

The formula for this one is A = pi r sq

You have the radius for this one is 7

Put 7 into that and you get. ~153.94

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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 $\log_e e^a =a$ ]

$\log_e (0.2)=-0.1386t$

$-1.6094379124341 = -0.1386t$

[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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3 years ago