Answer:
44.7 mg
Step-by-step explanation:
The equation for exponential decay can be written in the form ...
y = a·b^(t/p)
where 'a' is the initial value, 'b' is the decay factor, 'p' is the period over which the decay factor is applicable, and t is time in the same units as p.
<h3>Setup</h3>
Using the above equation, we have ...
a = initial value = 110 mg
b = decay factor = 55/110 = 1/2 over time period p=20 hours
Then the equation is ...
y = 110·(1/2)^(t/20) . . . . amount remaining after t hours
<h3>Solution</h3>
We want the amount remaining after 26 hours. That will be ...
y = 110·(1/2)^(26/20) ≈ 44.67
About 44.7 milligrams will remain after 26 hours.
I believe that the answer is 84 possible choices
Answer:
Step-by-step explanation:
Given
--- volume of tank
--- solid mass
--- outflow rate
Required
Determine the concentration at the end of 4 hours
First, calculate the amount of liquid that has been replaced at the end of the 4 hours.
This implies that, over the 4 hours; The tank has 160000 liters of liquid out of 440000 liters were replaced
Calculate the ratio of the liquid replaced.
Next, calculate the amount of solid left.
Lastly, the concentration is calculated as:
Convert L to cubic meters
Answer:
x^2 + y^2 = 12
Step-by-step explanation:
For a circle with the center at the origin [(h,k) is (0,0)]
use the formula:
x^2 + y^2 = r^2
In this case r is 2sqroot3.
(2sqroot3)^2 is 12.
2•2•sqrt3•sqrt3
= 4•3
= 12
So we get,
x^2 + y^2 = 12
