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3 years ago

11

Meredith picked four times as many green peppers as red peppers if she picked a total of 20 peppers how many green peppers did s

he pick

1 answer:

Alexus [3.1K]3 years ago

4 0

So first you see that she picked 20 green peppers and that she picked 4 times more than red. So you take 4 x 5 and you should get your answer 20 so then the answer is 5.

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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.

7 0

3 years ago

What are the solution(s) of the quadratic equation 98 – x2 = 0

DanielleElmas [232]

To solve first move the 98 to the other side by subtracting it from both sides. Then divide by - 1 on both sides to that the x^2 is no longer a negative. You are left with:

$x^{2} = 98$

Now square root both sides to get

$x = +/- \sqrt{98}$

The two factors that make up 98 are 49 and 2. 49 can be square rooted. So we are left with these answers:

$x = - 7 \sqrt{2}$ and $x = 7 \sqrt{2}$

4 0

3 years ago

Read 2 more answers

6 students took a test, the dot plot shows the score of 5 of these students. The average score of students is 21 ? What was the

bazaltina [42]

Answer:

oooooooooooooooooooooooooooooooooooooooooooh

Step-by-step explanation:

oooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooh

4 0

3 years ago

3327.50×000005000000000

hram777 [196]

Answer: 1.66375e+13

Step-by-step explanation:

7 0

3 years ago

Read 2 more answers

Please help:) I'll report you if you steal points :(

Crank

Yeah y=9

hope this helped even tho I’m kinda late haha

5 0

2 years ago