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3 years ago

What is? 50 minus the quotient of y and 46

Mathematics

1 answer:

Schach [20]3 years ago

4 0

Answer:

Step-by-step explanation:

$\frac{y}{46}-50$

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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

4ab (a -b) + b (2b -2a²) for a = 1 and b= -1<br> simplify it

aleksley [76]

Answer:

Step-by-step explanation:

4ab(a-b)+b(2b-2a^2)

=4*1*-1[1-(-1)]+(-1){2(-1)-2*1^2}

=-4(1+1)-1{-2-2}

=-4*2-1(-4)

=-8+4

=-4

3 0

3 years ago

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A number is less than half of another number written in a equation

Amanda [17]

Answer:

x<1/2(y)

Step-by-step explanation:

call the number x, and the other number y, the answer is:

x<1/2(y)

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2 years ago

Solve for x. -2(-4+3)-8=2(2+x)

OverLord2011 [107]

Answer:

x = − 5

Step-by-step explanation:

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3(-4+x)<-33 I need to solve for x

Serjik [45]

Answer:

−7

Step-by-step explanation:

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3 years ago

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