Answer:
x(t) = 581.66 lb
Step-by-step explanation:
From the given information:
Consider the salt quantity in the tank at time t be x(t) lb.
∴ the rate of change of salt content in the tank is 
where:
the rate of inflow = salt conc. × flow rate = 3 lb/gallon × 7 gallons
=21 lb/s
rate of outflow = salt conc. in the tank × flow rate
= x/250 × 9
= 9x/250 lb/s
∴


This is a 1st order linear differentiation,
The integrating factor if 
∴


at t = (0) and x(0) = 100 lb
Hence;



∴
after time t = 1 minute i.e 60 s


x(t) = 581.66 lb
2 yeuii .-. Bananas en pijama
Answer:
slope of AB = 2
slope CD = 2
Step-by-step explanation:
the equation of a line is y = ax+ b where a is the slope, b is the y-intercept
let us take yB - yA
→ yB - yA = axB <u>+ b</u> - axA <u>- b</u>
→ yB - yA = a(xB - xA)
→ a = (yB - yA) / (xB = xA) = (6 - 2) / (-5 - (-7)) = 2
same goes for line CD
6/3 because that fraction is equal to 2 and an integer is a whole number not a fraction.
Answer:
C.) Solve for the varible
Step-by-step explanation:
As there is currently nothing to do other than one step, the next step would be to solve 81/9 for 9, getting the final answer of a=9.