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Alexus [3.1K]
3 years ago
15

Use the differential equation given by dy/dx=xy/3, y>0 complete the table of values

Mathematics
1 answer:
melisa1 [442]3 years ago
6 0
The \dfrac{\mathrm dy}{\mathrm dx} row is filled by just plugging in the corresponding values of x and y into the ODE.

For example, when x=-1 and y=1, you have

\dfrac{\mathrm dy}{\mathrm dx}=\dfrac{xy}3\implies\dfrac{\mathrm dy}{\mathrm dx}\bigg|_{x=-1,y=1}=\dfrac{(-1)(1)}3=-\dfrac13

and so on.
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a rectangular fish tank 60 centimeters by 15 centimeters by 34 centimeters is 1/3 full of water. find the volume of water needed
son4ous [18]

Answer:

20,400\ cm^{3}

Step-by-step explanation:

step 1

Find the volume of the tank

V=(60)(15)(34)=30,600\ cm^{3}

step 2

we know that

If the tank is 1/3 full of water

then

the volume of water required to completely fill the tank is equal to 2/3 of the tank capacity

so

(2/3)30,600=20,400\ cm^{3}

5 0
3 years ago
Consider the following piecewise-defined function.
Fittoniya [83]
In order to solve this, we need to select the function that meets our constraints. Since x^2 - 5 occurs when x is less than 3, and the x-value we are given is -4, we use the first function.

f(-4) = (-4)^2 - 5
f(-4) = 16 - 5
f(-4) = 11
7 0
3 years ago
Read 2 more answers
William wants to keep his debt-to-income ratio at the recommended 15% orlower William's house payment is
3241004551 [841]

9514 1404 393

Answer:

  about $171,400

Step-by-step explanation:

William's total monthly debt is ...

  $1012.84 +579.13 +250 +300 = 2141.97

On an annual basis, this is ...

  12 × $2141.97 = $25,703.64

This will be 15% of (25703.64/0.15) = $171,357.60.

William's new annual salary should be about $171,400 to keep his debt ratio at the recommended 15%.

_____

<em>Additional comment</em>

A debt ratio of 15% is a pretty aggressive target. Most mortgage lenders like to see the "front end" ratio (housing expense) less than 28%, and the "back end" ratio (all debt) less than 36%.

4 0
3 years ago
What is the area of a circle with a circumference of 100.48 feet?
Nana76 [90]

Answer:

<h2><u><em>Area: 803.432</em></u></h2>

Step-by-step explanation:

If you need a calculator for this kind of thing, look up Omni Calculators and then look for the kind that you need. They work REALLY well.

6 0
3 years ago
Read 2 more answers
A fruit seller marks up all fruit he sells by 25% above the whole sale price he pay to the farmer. Write an equation that you co
Irina18 [472]

Answer:

x = 1.25y

Step By Step

whole sale price = x

selling price = y

since the whole sale price is 25% (0.25) more than the selling price,

x=y+y0.25, or x=1.25y

edit: pls consider giving me the Brainliest if this helped you thank you! ;)

6 0
2 years ago
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