Write an equation of the line in slope-intercept form. (Pls answer fast)<br><br> Y=

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.

7 0

4 years ago

Which is greater 0.6 or 0.06

Komok [63]

Answer: 0.6
Why? 0.6 can also be represented as 0.60
0.60>0.06

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8 gallons of soil are needed to fill 6 large plantpots. How many gallons are needed to fill 1 pot?Give your answer as a mixed nu

Elis [28]

$\begin{gathered} \text{ 6 plant pot ---- }8\text{ gallons} \\ \text{ 1 Plant pot ---- x} \\ x=\frac{1\text{ plant pot }\cdot\text{ 8 gallons}}{6\text{ plant pot}} \\ \\ x=\frac{8}{6}=\frac{4}{3}=\text{ 1 }\frac{1}{3}\text{ gallons} \\ \text{ 1 }\frac{1}{3}\text{ gallons are n}eeded\text{ to fill 1 plant pot} \end{gathered}$

7 0

1 year ago

Please answer the question below for 50 points. It is very easy. 6th-grade math!

Korvikt [17]

Answer:

B

I might be wrong, please don't yell at me if I am :(

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Which one of the following statements contains a simile?

mafiozo [28]

<span>the statement that contain simile is : D. i think that i shall never see a poem lovely as a tree Simile is a writing technique which compares a thing with another thing from a different kind. In sentence D, the writer compare a 'poem' which is a form of artwork, with a 'tree' which is a form of living organism</span>

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4 years ago

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Write an equation of the line in slope-intercept form. (Pls answer fast) Y=