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
Put in your calculator tang^-1 (17). 86.63
Tan -1(8/40) = 11.31
She then measures the distance from the mirror to the base of the tree ... backwards until she sees the top of the tree reflected in the mirror.
Answer:
y=1/3x + 2
Step-by-step explanation:
Since slope intercept form is y=, I first added x to each side to get x on the other side. Then I divided each side by 3 to get y, and ended up with y=1/3x+2 as my answer.
(hope this helps)