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3 years ago

What do you add to 2/9 to make 1?

Mathematics

1 answer:

marshall27 [118]3 years ago

8 0

Answer:8

Step-by-step explanation:

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Do u just plot the numbers on the graph like (1,26)???

kvv77 [185]

Answer:

Yes

Step-by-step explanation:

Make sure you plot each number on the right axis. :)

4 0

3 years ago

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

A board is 2/3 yard long. Jeremy cuts the board into 6 equal pieces. How long is each cut piece?

r-ruslan [8.4K]

Answer:

1/9 yd.

Step-by-step explanation:

2/3 /6= 2/3 /6/1 = 2/3 x 1/6= 2/18=1/9

3 0

3 years ago

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Find an equation of the line that contains the point (-1,3) and is parallel to the line x+3y=6.

Black_prince [1.1K]

Answer:

Step-by-step explanation:

3y = -x + 6

y = -1/3x + 2

y - 3 = -1/3(x + 1)

y - 9/3 = -1/3x - 1/3

y = -1/3x + 8/3

7 0

3 years ago

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Find unit rate. 18 notebooks per 3 package

Sauron [17]

6 notebooks per 1 package.

Work

6 0

3 years ago