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3 years ago

Solve for x quick please need it done fast

Mathematics

2 answers:

ss7ja [257]3 years ago

8 0

Answer:

x= 36

Step-by-step explanation:

Both degrees sum up to 180 degrees, so our equation would be..

3x+2x= 180

Step 1- Combine common variables.

(3x+2x)= 180

5x= 180

Step 2- Divide both sides by 5.

5x= 180

5 5

x= 36

kifflom [539]3 years ago

3 0

Answer:

x = 36

Step-by-step explanation:

EAB is a straight line so it equal 180

EAF + FAB = EAB

3x+2x = 180

Combine like terms

5x = 180

Divide each side by 5

5x/5 = 180/5

x = 36

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A 1000-liter (L) tank contains 500 L of water with a salt concentration of 10 g/L. Water with a salt concentration of 50 g/L flo

djverab [1.8K]

Answer:

a) $y(t)=50000-49990e^{\frac{-2t}{25}}$

b) $31690.7 g/L$

Step-by-step explanation:

By definition, we have that the change rate of salt in the tank is $\frac{dy}{dt}=R_{i}-R_{o}$ , where $R_{i}$ is the rate of salt entering and $R_{o}$ is the rate of salt going outside.

Then we have, $R_{i}=80\frac{L}{min}*50\frac{g}{L}=4000\frac{g}{min}$ , and

$R_{o}=40\frac{L}{min}*\frac{y}{500} \frac{g}{L}=\frac{2y}{25}\frac{g}{min}$

So we obtain. $\frac{dy}{dt}=4000-\frac{2y}{25}$ , then

$\frac{dy}{dt}+\frac{2y}{25}=4000$ , and using the integrating factor $e^{\int {\frac{2}{25}} \, dt=e^{\frac{2t}{25}$ , therefore $(\frac{dy }{dt}+\frac{2y}{25}}=4000)e^{\frac{2t}{25}$ , we get $\frac{d}{dt}(y*e^{\frac{2t}{25}})= 4000 e^{\frac{2t}{25}$ , after integrating both sides $y*e^{\frac{2t}{25}}= 50000 e^{\frac{2t}{25}}+C$ , therefore $y(t)= 50000 +Ce^{\frac{-2t}{25}}$ , to find $C$ we know that the tank initially contains a salt concentration of 10 g/L, that means the initial conditions $y(0)=10$ , so $10= 50000+Ce^{\frac{-0*2}{25}}$

$10=50000+C\\C=10-50000=-49990$

Finally we can write an expression for the amount of salt in the tank at any time t, it is $y(t)=50000-49990e^{\frac{-2t}{25}}$

b) The tank will overflow due Rin>Rout, at a rate of $80 L/min-40L/min=40L/min$ , due we have 500 L to overflow $\frac{500L}{40L/min} =\frac{25}{2} min=t$ , so we can evualuate the expression of a) $y(25/2)=50000-49990e^{\frac{-2}{25}\frac{25}{2}}=50000-49990e^{-1}=31690.7$ , is the salt concentration when the tank overflows

4 0

3 years ago

What is the area of the triangle?

beks73 [17]

The area of a triangle is 180

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3 years ago

Write 7.12 as a mixed number in simplest form.

andrezito [222]

Answer:

7 3/25

Step-by-step explanation:

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3 years ago

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Jillian measured the distance around a small fish pond as 27 yards. Which would be a good estimate for the distance across the p

DochEvi [55]

Assuming the fish pond is round, what you're given is the circumference.
So you know that 2πr = 27.
We want to solve for the diameter, or d = 2r. We should isolate that.
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3 0

3 years ago

I don't really understand this

KonstantinChe [14]

Answer:

Step-by-step explanation:

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Diameter is defined as the length of a straight line through the center of a circle. An example of diameter is the length of a line sliced down the center of a pie.

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8 0

2 years ago

Solve for x quick please need it done fast​

Solve for x quick please need it done fast