Answer:
This is the sample answer for edmentum.
Answer:
Time,t that it will elapse before the concerntration of the dye in the tank reaches1% of its original value is 460.52 seconds
Step-by-step explanation:
Let Q(t) = amount of dye for all time,t.
Let Q'= rate in - rate out.
But Q/200 = concerntration of dye
Therefore rate out= Q/200 ×2.
Q'/Q = - 1/100
Dividing by Q gives
Ln/Q/ + c = -1/100t + c1
Integrating both sides with respect to t
Ln/Q/ = -1/100t + c2.
c1 and c1 are just another constants
Q= c3e^-t/100
Exponentiating both sides will cause the absolute values to get absorbed into the constants giving rise to a new constant c3
200= c3-0/100
c3= 200
2= 200e^-t/100
Ln1/100= - t/100
Ln0.01 = - t/ 100
Cross multiply
t= Ln0.01 × 100
t = 4.6052 ×100
t = 460.52seconds
Answer: 1/5 with an exponent of 5.
hope this helps :)
step 1
Find the sum of 37/8 and 11/4
37/8+11/4
Remember that
11/4=(2/2)(11/4)=22/8
so
37/8+22/8=59/8
step 2
Find the difference
37/8-22/8=15/8
step 3
Divide the sum by the difference
so
59/8 : 15/8=59/15
therefore
the answer is 59/15
step 4
Convert to mixed number
59/15=45/15+14/15=3+14/15=3 14/15
the mixed number is 3 14/15
Answer:
Step-by-step explanation:
