3 years ago

the b-clean car wash washed 128 cars in 3 hours. at that rate, how many cars can they wash in 8 hours?

Mathematics

1 answer:

sukhopar [10]3 years ago

5 0

You have to divide 128 by 8 and you will get 16. So the answer is 16

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Solve y′′=sin(x) if y(0)=0 and y′(0)=5.<br><br> y(x)=?

Ksenya-84 [330]

Answer:

$y(x)=6x-sin(x)$

Step-by-step explanation:

Rewrite the differential equation as:

$\frac{d^{2} y }{dx^{2} } =sin(x)$

Integrate both sides with respect to x:

$\int\ \frac{d^{2} y }{dx^{2} } dx = \int\ sin(x) dx$

$\frac{dy}{dx} =-cos(x)+C_1$

Integrate one more time both sides with respect to x:

$\int\ \frac{dy}{dx} = \int\ -cos(x)+C_1 dx$

$y(x)=-sin(x)+C_1x+C_2$

Now that we find the solution, let's find its derivate:

$y'(x)=C_1-cos(x)$

Evaluating the initial conditions:

$y(0)=C_1(0)+C_2-sin(0)=0\\C_2=0$

$y'(0)=C_1-cos(0)=5\\C_1=5+1=6$

Replacing the value of the constants that we found in the differential equation solution:

$y(x)=6x-sin(x)$

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3 years ago

Whats is 0.000000698 in scientific notation

gavmur [86]

0,000000698 = 6,98 * $10^{-7}$

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3 years ago

In Mr. Sneed's classroom, there are 108 tiles and 9 lights. What is the ratio of lights to tiles in Mr. Sneed's classroom?

Dimas [21]

The ratio is 1:12

hope this helps

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2 years ago

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kogti [31]

Answer:

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Step-by-step explanation:

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3 years ago

How can you determine the coordinates of the care after a reflection over either axis

MrRa [10]

Well when you reflect over a coordinate it puts the same information on the opposite side, for example:
3,5 reflected now its -3,5

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3 years ago