20 cylindrical container tim required
Answer: t= 460.52 minutes
Step-by-step explanation:Q'=Q/100
Q'= rate in and out of water
Finding the differential equation
Let Q'(t)= The quantity of dye in the tank for t time
But rate in=0 Q/200 ×2=Q'
Q'/Q=-1/100
Dividing by Q gives
Ln/Q/ + c = -1/100 + c1
Integrating both sides gives
Ln/Q/ = -(1/100)t + c2
But c+c1=C2= A constant
Q=C2e(-t/100)
200e-(t/100)
t= ln200
t=460.52minutes
Answer:
Step-by-step explanation:
Given
<u>Functions:</u>
- S(t) = –0.122t³ + 3.49t² – 14.6t + 136
- H(t) = –0.115t³ + 3.71t² – 20.6t + 124
<u>Finding the difference between S(5) and H(5)</u>
- S(5) - H(5) =
- –0.122t³ + 3.49t² – 14.6t + 136 - (–0.115t³ + 3.71t² – 20.6t + 124) =
- (-0.122 + 0.115)*5³ + (3.49 -3.7)*5² - (14.6 -20.6)*5 + 136 - 124 = 35.875
Answer is 35.875 grams
Find the center of the door.
70.33/2=35.165cm
Find the center of the towel rack
24.25/2= 12.125cm
The towel rack will be 12.125cm from the center of the door in either direction. To get the location of either end add 12.125cm or subtract 12.125cm from 35.165cm.
Note: I used decimals, this can also be done with fractions.