Let
denote the amount of salt in the tank at time
. We're given that the tank initially holds
lbs of salt.
The rate at which salt flows in and out of the tank is given by the relation
Find the integrating factor:
Distribute
along both sides of the ODE:
Since
, we get
so that the particular solution for
is
The tank becomes full when the volume of solution in the tank at time
is the same as the total volume of the tank:
at which point the amount of salt in the solution would be
Answer:
25 is the answer
Step-by-step explanation:
Answer: 13.5 inches
Step-by-step explanation:
Let x be the length of the towel bar.
Since, the towel bar's ends from each end of the door are 7.75 each,
Thus, the width of the door = x + 7.75 + 7.75 = x + 15.5
But, According to the question,
The width of the door = 29 inches,
Therefore, x + 15.5 = 29
⇒ x = 13.5 inches
Answer:
y = 75
z = 43.3
Step-by-step explanation:
To find the value of y we use the trigonometric identity Sine.
Now to find the value of z we can use the trigonometric identity Tangent.
We know the value of y is 75 so it becomes,