Answer:
Therefore the concentration of salt in the incoming brine is 1.73 g/L.
Step-by-step explanation:
Here the amount of incoming and outgoing of water are equal. Then the amount of water in the tank remain same = 10 liters.
Let the concentration of salt be a gram/L
Let the amount salt in the tank at any time t be Q(t).

Incoming rate = (a g/L)×(1 L/min)
=a g/min
The concentration of salt in the tank at any time t is =
g/L
Outgoing rate =



Integrating both sides

[ where c arbitrary constant]
Initial condition when t= 20 , Q(t)= 15 gram


Therefore ,
.......(1)
In the starting time t=0 and Q(t)=0
Putting t=0 and Q(t)=0 in equation (1) we get









Therefore the concentration of salt in the incoming brine is 1.73 g/L
Answer:
The answer is "As the number of files increases, the storage space used decreases."
Step-by-step explanation:
When the music files are put into storage they take up space, this causes the storage space to decrease.
Answer:
The required expression is:
Please check the attached graph too.
Step-by-step explanation:
The slope-intercept form of the linear or line function
where
- m is the rate of change or slope
In our case,
The cost of hiring a taxi consists of a fixed cost of $3. It means the fixed cost of $3 is the initial condition.
Thus, the y-intercept b = 3
It is stated that the cost of per kilometer distance = $0.5
Thus, the rate of change or slope m = 0.5
As y represents the cost and x represents the number of kilometers.
so substituting m = 0.5 and b = 3 in the slope-intercept form of the linear or line function
y = mx+b
y = 0.5x + 3
Thus, the required expression is:
Please check the attached graph too.
Answer: The answer is 275,365 cm³ I just took the test so I know this is correct
Step-by-step explanation:
The value of f(2) is -2 ⇒ 1st answer
Step-by-step explanation:
The form of the quadratic function is;
f(x) = ax² + bx + c, where
- a is the coefficient of x²
- b is the coefficient of x
- c is the numerical term
- x is the domain of the function and f(x) is the range of the function
∵ f(x) = -5x² - x + 20
- f(2) means value f(x) at x = 2
∵ x = 2
- Substitute x in the function by 2 to find f(2)
∵ f(2) = -5(2)² - (2) + 20
∴ f(2) = -5(4) - 2 + 20
∴ f(2) = -20 - 2 + 20
∴ f(2) = -2
The value of f(2) is -2
Learn more:
You can learn more about the function in brainly.com/question/12363217
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