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3 years ago

A washer and a dryer cost $917 combined. The washer costs $67 more than the dryer. What is the cost of the dryer?

1 answer:

4 0

917 - 67 = 850 (subtract the difference)
850 / 2 = 425 (divide the cost of the washer/dryer)
425 + 67 = 492 (add the difference)
The dryer costs $492.

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Find the solution the each of the following first order linear differential equations:

Cerrena [4.2K]

Answer:

a. $y=\frac{2}{3}x^7+cx^4$

b. $y=2e^{7x}-ce^{5x}$

c. $y=e^{-2x}arctan(e^{2x})+ce^{-2x}$

d. $i=e^{-2t}\left(\frac{8\left(3e^{2t}\sin \left(3t\right)+2e^{2t}\cos \left(3t\right)\right)}{13}+C\right)$

Step-by-step explanation:

a) xy' -4y = 2 x^6

$xy'-4y=2x^6\\y'-\frac{4}{x}y=2x^5\\p(x)=\frac{-4}{x}\\Q(x)=2x^5\\\mu(x)=\int P(x)dx=\int \frac{-4}{x}dx=Ln|x|^{-4}\\y=e^{-\mu(x)}\int {e^{\mu(x)}Q(x)dx}\\y=x^4 \int {x^{-4}2x^6}dx\\y=\frac{2}{3}x^7+cx^4$

b) y' - 5y = 4e^7x

$y'-5y=4e^{7x}\\p(x)=-5\\Q(x)=4e^{7x}\\\mu(x)=\int P(x)dx=\int-5dx=-5x\\y=e^{-\mu(x)}\int {e^{\mu(x)}Q(x)dx}\\y=e^{5x}\int {e^{-5x}4e^{7x}}dx\\y=2e^{7x}-ce^{5x}$

c) dy/dx + 2y = 2/(1+e^4x)

$\frac{dy}{dx}+2y=\frac{2}{1+e^{4x}}\\p(x)=2\\Q(x)=\frac{2}{1+e^{4x}}\\\mu(x)=\int P(x)dx=\int 2dx=2x\\y=e^{-\mu(x)}\int {e^{\mu(x)}Q(x)dx}\\y=e^{-2x}\int {e^{2x}\frac{2}{1+e^{4x}}}dx\\y=e^{-2x}arctan(e^{2x})+ce^{-2x}$

d) 1/2 di/dt + i = 4cos(3t)

$\frac{1}{2}\frac{di}{dt}+i=4cos(3t)\\\frac{di}{dt}+2i=8cos(3t)\\p(t)=2\\Q(t)=8cos(3t)\\\mu(t)=\int P(t)dt=\int 2dt=2t\\i=e^{-\mu(t)}\int {e^{\mu(t)}Q(t)dt}\\i=e^{-2t}\int {e^{2t}8cos(3t}dt\\i=e^{-2t}\left(\frac{8\left(3e^{2t}\sin \left(3t\right)+2e^{2t}\cos \left(3t\right)\right)}{13}+C\right)$

3 0

3 years ago

Someone please answer and give me a reason. hint: the answer isn’t 49.

guapka [62]

Answer:

√37

Step-by-step explanation:

An irrational number is a number that never terminates nor repeats.

Let's go through each of the answer choices.

1) √100 is just 10. This is not irrational.

2) √81 is just 9. This is again not irrational.

3) √64 is 8. Not irrational.

4) √49 is 7. Again, not irrational.

5) √37 is 6.08276253... This number will never end and it doesn't repeat. Therefore, √37 is irrational.

And this is our answer.

And we're done!

6 0

3 years ago

Someone please help, I'm stuck!

Oxana [17]

If you plot all the points, you'll see that they lie on the same straight line. Therefore the function is not exponential.

In terms of the context of your answer choices, the final answer is choice A. The domain values are at regular intervals (in this case 2) while the range values increment by the same value as well (1 in this case).

4 0

3 years ago

Helen got a $7 reduction in the price of a pair of jeans that are normally $32. What is the approximate percent decrease in the

Vesnalui [34]

Answer:

The Answer is B.

Step-by-step explanation:

I took the quiz on Edge.

6 0

3 years ago

Read 2 more answers

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