Step-by-step explanation:
-17x = -32 - <em>x</em>
Collect like terms
-17x + <em>x</em><em>=</em><em> </em><em>-</em><em>32</em>
<em>-</em><em>16x</em><em> </em><em>=</em><em> </em><em>-</em><em>32</em>
<em>Divide</em><em> </em><em>both</em><em> </em><em>sides</em><em> </em><em>by</em><em> </em><em>-</em><em>16</em>
<em>X</em><em> </em><em>=</em><em> </em><em>2</em>
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
Answer:
Step-by-step explanation:
<u>Each member marches:</u>
<u>Convert this to feet:</u>
- 1 yard = 3 feet
- 90 yards = 3*90 feet = 270 feet
<u>Find the number of steps:</u>