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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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Kyle is a basketball player. His bottle was full at the beginning of the game. At the end of the first quarter, he drank 5/7 of
gizmo_the_mogwai [7]

Answer:

1 4/35

Step-by-step explanation:

All I did was do 5/7 + 2/5.

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3 years ago
Please use the figure below to solve for both x and y
kkurt [141]

Answer:

x=10°

y = 12°

Step-by-step explanation:

<TSV = 5x + 4x = 90°

=> 9x = 90°

Divide by 9,

x = 10°

<RSU = 10y + 10° + 5x = 180°

=> 10y + 10° + 5*10° = 180°

=> 10y + 10° + 50° = 180°

=> 10y + 60° = 180°

Subtract 60° on both sides,

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3 0
2 years ago
2x - 5y=-15<br> can someone walk me through this?
HACTEHA [7]
The equation given in the question has two unknown variables in the form of "x" and "y". The exact value of "x" and "y" cannot be determined as two equations are needed to get to the exact values of "x" and "y". This equation can definitely be used to show the way for determining the values of "x" in terms of "y"and the value of "y" in terms of "x". Now let us check the equation given.
2x - 5y = - 15
2x = 5y - 15
2x = 5(y - 3)
x = [5(y - 3)]/2
Similarly the way the value of y can be determined in terms of "x" can also be shown.
2x - 5y = - 15
-5y = - 2x - 15
-5y = -(2x + 15)
5y = 2x + 15
y = (2x +15)/5
   = (2x/5) + (15/5)
   = (2x/5) + 3
So the final value of x is [5(y -3)]/2 and the value of y is (2x/5) + 3.
3 0
2 years ago
Find f(-3) if f(x) = x2.
Vesna [10]

Answer:

f(-3) = 9

Step-by-step explanation:

Step 1: Define

f(-3) = x = -3

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Step 2: Substitute and Evaluate

f(-3) = (-3)²

f(-3) = 9

7 0
3 years ago
What's additive inverse? Like for example this expression 2-16 what's the additive inverse??
Stels [109]

Answer: The multiplicative inverse is 1/2 the addition inverse is -2

Step-by-step explanation:

Since the inverse of multiplication is division, use a fraction. The inverse of addition is subtraction.

4 0
2 years ago
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