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3 years ago

I will mark that person brainliest if they answer correctly and must be well explained

Mathematics

2 answers:

Zolol [24]3 years ago

6 0

it is 180

hope this helps

Klio2033 [76]3 years ago

4 0

The answer would be 180 degrees.

Any triangle, whether it's right, obtuse, acute, etc., will always equal 180 degrees. As it is stated, if ABC is a triangle, then ∠ABC + ∠BCA + ∠CAB = 180 degrees.

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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

Which of the following is a solution to the inequality below?

JulsSmile [24]

Answer:1

Step-by-step explanation:

-12 - 8(5)= -52

-6> -52

8 0

3 years ago

Read 2 more answers

Jenna is running a trail that is 8 4/7 miles long. If she has finished running 5/9 of the distance, about how far has she run?

Varvara68 [4.7K]

Answer:

Jenna has run the distance of $\frac{100}{21}$ miles .

Step-by-step explanation:

The Distance for the trail = 8 $\frac{4}{7}$ = $\frac{56+4}{7}$

Or , Distance = $\frac{60}{7}$ miles

The distance cover by Jenna = $\frac{5}{9}$ miles of the distance

I.e The distance cover by Jenna = $\frac{5}{9}$ × $\frac{60}{7}$

Or, The distance cover by Jenna = $\frac{100}{21}$ miles

Hence Jenna has run the distance of $\frac{100}{21}$ miles . Answer

5 0

3 years ago

139 students choose to attend one of three after school activities: football, tennis or running.

attashe74 [19]

Answer: 29/139

Explanation:

Total student: 139 (66 boys/73 girls)

Football: 56 student (28 boy/28 girl)

Tennis: 54 student (27 boy/ 27 girl)

Running: 29 student (18 girls/11 boys)

The probability that a student chose running is 29/139

5 0

2 years ago

T + 15 equals or greater than -2

kiruha [24]

+/- 13 I believe is the correct answer

5 0

2 years ago