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3 years ago

F (x) = 1 – 4x Calculate the value of f (2)

Mathematics

1 answer:

Irina-Kira [14]3 years ago

3 0

Answer:

Step-by-step explanation:

F (x) = 1 – 4x

Calculate the value of f (2)

Subsitution 1-4(2)=1-8=-7

The answer of f(2)=-7

I hope this answers ur question

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Pregnant women metabolize some drugs at a slower rate than the rest of the population. The half-life of caffeine is about 4 hour

UkoKoshka [18]

Answer:

Husband:

The husband will have 16.35 mg of caffeine in his body at 7 pm.

Woman:

The pregnant woman will have 51.33 mg of caffeine in her body at 7 pm.

Step-by-step explanation:

The amount of caffeine in the body can be modeled by the following equation:

$C(t) = C(0)e^{rt}$

In which C(t) is the amount of caffeine t hours after 8 am, C(0) is how much coffee they took and r is the rate the the amount of caffeine decreases in their bodies.

110 mg of caffeine at 8 am,

So $C(0) = 110$

Husband

Half life of 4 hours. So

$C(4) = 0.5C(0) = 0.5*110 = 55$

$C(t) = C(0)e^{rt}$

$55 = 110e^{4r}$

$e^{4r} = 0.5$

Applying ln to both sides

$\ln{e^{4r}} = \ln{0.5}$

$4r = \ln{0.5}$

$r = \frac{\ln{0.5}}{4}$

$r = -0.1733$

So for the husband

$C(t) = 110e^{-0.1733t}$

At 7 pm

7 pm is 11 hours after 8 am, so this is C(11)

$C(t) = 110e^{-0.1733t}$

$C(11) = 110e^{-0.1733*11} = 16.35$

The husband will have 16.35 mg of caffeine in his body at 7 pm.

Pregnant woman

Half life of 10 hours. So

$C(10) = 0.5C(0) = 0.5*110 = 55$

$C(t) = C(0)e^{rt}$

$55 = 110e^{10}$

$e^{10r} = 0.5$

Applying ln to both sides

$\ln{e^{10r}} = \ln{0.5}$

$10r = \ln{0.5}$

$r = \frac{\ln{0.5}}{10}$

$r = -0.0693$

At 7 pm

7 pm is 11 hours after 8 am, so this is C(11)

$C(t) = 110e^{-0.0693t}$

$C(11) = 110e^{-0.0693*11} = 51.33$

The pregnant woman will have 51.33 mg of caffeine in her body at 7 pm.

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3 years ago

Two angles are complementary and the measure of one is 36

marysya [2.9K]

Answer:The angles are 63 degrees and 27 degrees
This is true because when you subtract 27 from 63 you get 36. And when you add 27 to 63 you get 90 aka the complimentary angle we’re looking for.

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2 years ago

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monitta

Answer:

Step-by-step explanation:

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3 years ago

Triangle LMN is a right triangle. True or false

Lynna [10]

Answer:False

Step-by-step explanation:

5^2+13^2=14^2

25 +169=196

194 ≠ 196

They’re not equal meaning it’s not a right triangle. Sorry for my first answer. I was supposed to use the Pythagorean theorm

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3 years ago

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What is the coefficient of y in the expression 2 ⋅ 4 + 3y?

svet-max [94.6K]

A coefficient is the number that is multiplied by the variable (the letter).
so the coefficient in ur expression is 3.

the 2 and the 4 are constants...because they are numbers with no variables

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3 years ago

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