15/60 simplified is 1/4
1/4 is not equal to 3/4
Answer:
the answer is 35
Step-by-step explanation:
Answer:
Step-by-step explanation:
concentration = amount of salt/solution
A) Initial concentration= 90/1000 = 0.09
Q = quantity of salt
Q(0) = 90 kg
Inflow rate = 8 l/min
Outflow rate = 8 l/min
Solution = 1000 L at any time t.
Salt inflow = 0.045 * 8 per minute
= 0.36 kg per minute
This is mixed and drains from the tank.
Outflow =
Thus rate of change of salt
Q'(t) = inflow - outflow =
Separate the variables and integrate
Use the fact that Q(0) = 90
90 = 360-A
A = 270
So
B) Q(t) = 360-270e^-0.004 = 91.07784
C) When t approaches infinity, we get
Q(t) tends to 360
So concentration =360/1000 = 0.36
Answer:
5
Step-by-step explanation:
The equation is given in slope-intercept form. Slope-intercept form is a way of writing the equation of a line in the format , such that the coefficient of the parameter (x) is the slope, and constant (b) is the y-intercept. What that essentially means is,
The slope of a line is its rate of change, and the y-intercept is where the graph of the line intersects the y-axis. One can apply this knowledge here by saying that, the equation is given in the slope-intercept form, and the coefficient () equals (), therefore the slope is ().