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andreev551 [17]
3 years ago
13

ITS URGENT PLZ HELP

Mathematics
1 answer:
Julli [10]3 years ago
7 0

Answer:

2 L

Step-by-step explanation:

At constant pressure, the volume of a gas is proportional to its temperature.

Therefore, we can write \frac{V_{2} }{V_{1} } =\frac{T_{2} }{T_{1} } ....... (1) at pressure = constant.

Given that the initial volume (V_{1}) = 2.5 L and initial temperature (T_{1}) = 350 K

And the final temperature (T_{2}) = 280 K

Therefore, from equation (1) we get final volume (V_{2}) = \frac{280 \times 2.5}{350} =2 L (Answer)

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A shipping company is designing new cardboard packages to sell to customers. The options are a rectangular prism box a or a tria
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OlgaM077 [116]

Answer:

Option 3

Step-by-step explanation:

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Find a solution to the initial value problem,<br> y″+12x=0, y(0)=2,y′(0)=−1.
levacccp [35]

Answer:

y = -2*x^3 - x + 2

Step-by-step explanation:

We want to solve the differential equation:

y'' + 12*x = 0

such that:

y(0) = 2

y'(0) = -1

We can rewrite our equation to:

y'' = -12x

if we integrate at both sides, we get:

\int {y''} \, dx  = y'=  \int {-12x} \, dx

Solving that integral we can find the value of y', so we will get:

y' = -12* (1/2)*x^2 + C = -6*x^2 + C

where C is the constant of integration.

Evaluating y' in x = 0 we get:

y'(0) = -6*0^2 + C = C

and for the initial value problem, we know that:

y'(0) = -1

then:

y'(0) = -1 = C

C = -1

So we have the equation:

y' = -6*x^2 - 1

Now we can integrate again, to get:

y = -6*(1/3)*x^3 - 1*x + K

y =  -2*x^3 - x + K

Where K is the constant of integration.

Evaluating or function in x = 0 we get:

y(0) = -2*0^3 - 0 + K

y(0) = K

And by the initial value, we know that: y(0) = 2

Then:

y(0) = 2 = K

K = 2

The function is:

y = -2*x^3 - x + 2

4 0
3 years ago
2x-y+52=16<br> X-6у +2z=-9<br> 3x+4y- z=32
Archy [21]

The solution to the given system of equation is (3, 3, 3)

<h3>Solving system of equations</h3>

Given the following system of equation expressed as:

2x-y+5z=16

X-6у +2z=-9

3x+4y- z=32

Multiply equation 2 by 2 to have:

2x-y+5z=16

2X-12у +4z=-18

Subtract

10y+z = 34 .........4

Similarly

3X-18у +6z=-27

3x+4y- z=32

Subtract

-22y+7z = -59 ........... 5

Equate 4 and 5

10y+z = 34 .........4 * 7

-22y+7z = -59 ........... 5 * 1

_______________________

70y+7z = 238

-22y+7z = -59

Subtract

92y = 297

y = 3

Recall that

10y+z = 34

10(3) + z = 34

z = 3

Since x - 6y +2z = -9

x-6(3)+2(3) = -9
x - 18 + 6 = -9
x = 3

Hence the solution to the given system of equation is (3, 3, 3)

Learn more on system of equation here: brainly.com/question/25976025

#SPJ1

4 0
2 years ago
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