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:
19.8 years old
Step-by-step explanation:
If Z=(x-μ)/σ where Z=-1.32, σ=3.2, and μ=24, then:
-1.32=(x-24)/3.2
-4.224=x-24
19.776=x
19.8
Therefore, the age of a concert attendee with a z-score of -1.32 is 19.8 years old.
40%.
Since the student got 60% correct, the remaining percentage would be the part they got incorrect.
I got 60% by translating 9/15 into a decimal and moving the decimal point to create a percentage.
Hope this helps!
The value of x is 0.5
<h3>How to evaluate the equation?</h3>
The equation is given as:
(x -2)(x + 3) = (x - 2)(4 - x)
Divide both sides by x - 2
x + 3 = 4 - x
Evaluate the like terms
2x = 1
Divide by 2
x = 0.5
Hence, the value of x is 0.5
Read more about equations at:
brainly.com/question/2972832
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Answer:
In decimal form it is 0.125, which is a terminating decimal. The fraction 29/200 is 0.145 as a decimal, which is another terminating decimal. 51.202211 is also a terminating decimal because the number ends after the last 1. Terminating decimals can also repeat, but they must still have an end, such as 0.4545.
Step-by-step explanation:
Hope this <em><u>Helped!</u></em> :D
