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3 years ago

10

Olivia works 4 hours more each week than her coworker Lily, Olivia works a total of 32 hours

1 answer:

Nadusha1986 [10]3 years ago

6 0

Answer:

12 hours :)

Step-by-step explanation:

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BigorU [14]

D is the answer . . .

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Emily bought 4 cheeseburgers for $6 each and then spent $18 on a new shirt. She paid for the cheeseburgers and shirt with her de

Soloha48 [4]

-42 would be the answer

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gabriella rents bikes for $13 plus $7 per hour. Eduardo paid $27 to rent a bike for how many hours did he rent the bike?

e-lub [12.9K]

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2 points) Sometimes a change of variable can be used to convert a differential equation y′=f(t,y) into a separable equation. One

Stells [14]

$y'=(t+y)^2-1$

Substitute $u=t+y$ , so that $u'=y'$ , and

$u'=u^2-1$

which is separable as

$\dfrac{u'}{u^2-1}=1$

Integrate both sides with respect to $t$ . For the integral on the left, first split into partial fractions:

$\dfrac{u'}2\left(\frac1{u-1}-\frac1{u+1}\right)=1$

$\displaystyle\int\frac{u'}2\left(\frac1{u-1}-\frac1{u+1}\right)\,\mathrm dt=\int\mathrm dt$

$\dfrac12(\ln|u-1|-\ln|u+1|)=t+C$

Solve for $u$ :

$\dfrac12\ln\left|\dfrac{u-1}{u+1}\right|=t+C$

$\ln\left|1-\dfrac2{u+1}\right|=2t+C$

$1-\dfrac2{u+1}=e^{2t+C}=Ce^{2t}$

$\dfrac2{u+1}=1-Ce^{2t}$

$\dfrac{u+1}2=\dfrac1{1-Ce^{2t}}$

$u=\dfrac2{1-Ce^{2t}}-1$

Replace $u$ and solve for $y$ :

$t+y=\dfrac2{1-Ce^{2t}}-1$

$y=\dfrac2{1-Ce^{2t}}-1-t$

Now use the given initial condition to solve for $C$ :

$y(3)=4\implies4=\dfrac2{1-Ce^6}-1-3\implies C=\dfrac3{4e^6}$

so that the particular solution is

$y=\dfrac2{1-\frac34e^{2t-6}}-1-t=\boxed{\dfrac8{4-3e^{2t-6}}-1-t}$

3 0

3 years ago

Describe the likelihood of an event as impossible, unlikely, equally likely, likely or certain. 21) There is a 0% chance of pick

Arturiano [62]

Answer:

21) There is a 0% chance of picking a 13 in a deck of cards. <u>Impossible.</u>

If there is a 0% chance that something will happen then it is impossible.

22) There is a 50% chance of picking a red card in a deck of cards.<u> Equally likely.</u>

If there is a 50% chance that something will happen, it is equally likely that it will happen.

23) There is an 80% chance of snow tomorrow. <u>Likely or certain.</u>

If there is an 80% chance of something happening, it means that the chances of that thing happening good and the event is likely to occur.

24) There is a 20% chance of rain tomorrow. <u>Unlikely.</u>

A low chance of 20% means that something is unlikely to occur.

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3 years ago