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vodomira [7]
3 years ago
7

A tank is filled with 1000 liters of pure water. Brine containing 0.07 kg of salt per liter enters the tank at 9 liters per minu

te. Another brine solution containing 0.06 kg of salt per liter enters the tank at 8 liters per minute. The contents of the tank are kept thoroughly mixed and the drains from the tank at 17 liters per minute. A. Determine the differential equation which describes this system. Let S(t) denote the number of kg of salt in the tank after t minutes. Then dSdt= B. Solve the differential equation for S(t). S(t)=
Mathematics
1 answer:
DiKsa [7]3 years ago
7 0

Answer: A. S(t)= 1000 + 0.63t + 0.48t - 17t

              B. S(t)= 984.11

Step-by-step explanation:

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Which ordered pair would form a proportional relationship with the points in the graph? (4, 4) (6, 9) (9, 6) (8, 5)
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Step-by-step explanation:

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3 years ago
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Two angles are complementary angles if the sum of their measure is 90 degrees. Angle A and angle B are complementary angles, and
Marta_Voda [28]
Let's solve this problem step-by-step.

STEP-BY-STEP SOLUTION:

We will be using simultaneous equations to solve this problem.

First we will establish the equations which we will be using as displayed below:

Equation No. 1 -

A + B = 90°

Equation No. 1 -

A = 2B + 12

To begin with, let's make ( A ) the subject in the first equation as displayed below:

Equation No. 1 -

A + B = 90

A = 90 - B

Next we will substitute the value of ( A ) from the first equation into the second equation and solve for ( B ) as displayed below:

Equation No. 2 -

A = 2B + 12

( 90 - B ) = 2B + 12

- B - 2B = 12 - 90

- 3B = - 78

B = - 78 / - 3

B = 26°

Then we will substitute the value of ( B ) from the second equation into the first equation to solve for ( A ) as displayed below:

A = 90 - B

A = 90 - ( 26 )

A = 64°

ANSWER:

Therefore, the answer is:

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4 0
3 years ago
Enter an equation in point-slope form for the line.
NISA [10]

Answer:

y + 1 = 3(x + 8)

Step-by-step explanation:

The equation of a line in point- slope form is

y - b = m(x - a)

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8 0
3 years ago
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A machine that fills 12-quart size packages of ice cream runs 8 hours a day, 7 days a week. The machine fills 900 ice cream pack
otez555 [7]

Answer:

Number of ice cream packaged each week = 604,800 Ice cream

Step-by-step explanation:

Given:

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Find:

Number of ice cream packaged each week :

Computation:

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8 0
3 years ago
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