All categories

3 years ago

Can somebody help me out please?

Mathematics

1 answer:

kondor19780726 [428]3 years ago

7 0

Answer:

all work is shown and pictured

You might be interested in

PLEASE HELP ME THIS IS A FUNCTION if f(x)= 3x + 5/x what is F(a+2)

djverab [1.8K]

The answer is b) :) hope i helped!

6 0

3 years ago

What is the total surface area of rectangular prism?

algol13

Answer:

162 [m²].

Step-by-step explanation:

required surface is:

A=(3*7+6*7+3*6)*2=162 [m²].

4 0

2 years ago

Read 2 more answers

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

Find the area of the parallelogram. sq cm

Jlenok [28]

Answer:

I think the answer is 10 sq cm

Step-by-step explanation:

3 0

3 years ago

Read 2 more answers

Write the difference in simplest form 11/12-2/12

g100num [7]

Simple. first make sure there are common denominators. There is, thus, you can now subtract.

11/12-2/12.

11-2=9

and you don't subtract denominators.

Then, 9/12
you can simplify even more by dividing both the numerator and denominator by 3. So 9/3=3 and 12/3=4

So, in simplest form, your answer is 3/4.

6 0

3 years ago