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2 years ago

Can someone please help me with my homework Ignore the bottom question

Mathematics

1 answer:

pav-90 [236]2 years ago

6 0

1. x = 1 2. x = -30 3. x = -2 4. x = 15 5. x = 7, y = 11 6. x = 4, y = 1

7. x = 1/2, y = 25/5 8. x = 1/4, y = 11/2

hope this helps :3

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The rational number that expresses a loss of $25.30 is

Nezavi [6.7K]

Answer is 8 hope this helps

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2 years ago

Graph the piecewise function??

Alik [6]

Check the picture below.

notice, the dashed line is the "continuation" of the graph, however, for the constraints in the piece-wise, is excluded.

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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

Carl has one kind of bread

love history [14]

And??? Does Carl eat his one kind of bread??? What's the question?

5 0

2 years ago

Read 2 more answers

The graph of the function y = x2 + 2 is shown. Which equation will shift the graph of the function down 4 units?

ziro4ka [17]

This graph shifted down 4 units would be y = x^2 - 2.

Different shifts in standard graphs each have to be done in their own way. Shifting up and down is done by manipulating the y-intercept, which is the number at the end of the equation. Since we started at +2 and it is going down 4, it brings us to -2.

6 0

2 years ago