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:
C Yes, 75+ 2.5*60 = 225
Step-by-step explanation:
The charges for the electrician
1st hour = 75
Additional hours 60
We have 3 1/2 hours of labor
The first hour is 75 dollars
3 1/2 - 1 = 2 1/2
There will be 2 1/2 hours at the 60 dollar rate
75 + 60 * 2.5 =
75 + 150
225
Answer:
6
Step-by-step explanation:
48/8=6
AAS they share a common side so it is congruent, the angles are given.
The swimsuits that can be produced with the new partner is 23,043.
The swimsuits that can be produced without the partner is 16,521.
<h3>How many swimsuits can be produced?</h3>
The equation that relates total cost, operating cost and cost per swimsuit together is
Total cost = operating cost + (cost per swimsuit x number of swimsuits)
500,000 = 120,000 + ($23x s)
500,000 - 120,000 = 23s
380,000 = 23s
s = 380,000 / 23
s = 16,521
Number of swimsuits that can be produced with the new partner:
(500,000 + 150,000) = 120,000 + ($23x s)
650,000 = 120,000 + 23s
650,000 - 120,000 = 23s
530,000 = 23s
s = 530,000 / 23
s = 23,043
To learn more about division, please check: brainly.com/question/13281206
#SPJ1
