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3 years ago

In the box, type the number that correctly completes the sentence.

Mathematics

1 answer:

Bogdan [553]3 years ago

3 0

To buy 3 books Kaitlyn will need $27

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Evaluate the expressions when x = 10 & y =8.<br><br> 2y

klasskru [66]

Answer: 64

Step-by-step explanation:

y=8

plug in 8 for y

2(8)=64

5 0

3 years ago

What is the approximate volume of the cone?

Vlad [161]

Volume=1/3π<span>×</span>r²×h^(Applies for any "right cone")^
Therefore your answer would be
A.1206 cm³

8 0

3 years ago

Read 2 more answers

Do this for a cookie plz ;)

Anika [276]

Answer:

i just want the cookie so can i have it ? ._.

Step-by-step explanation:

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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

I need to find the area in the shape

dalvyx [7]

Answer:

32 yd

Step-by-step explanation:

The area of a triangle is calculated by multiplying each of the sides lengths together, 8x8, and dividing it by two which equals 32.

6 0

2 years ago