Answer:
Input
Independent variable
Step-by-step explanation:
we know that
<u><em>Independent variables</em></u>, are the values that can be changed or controlled in a given model or equation
<u><em>Dependent variables</em></u>, are the values that result from the independent variables
we have the function

In this problem
The function d(t) represent the dependent variable or the output
The variable t represent the independent variable or input
Answer: 0.0072 kilogram
Step-by-step explanation:
Given : The mass of one tablet of ibuprofen =200 mg
Then, the mass of 36 tablets of ibuprofen =
mg
i.e. the mass of 36 tablets of ibuprofen =
mg
We know that 1 kilogram = 1000 grams
and 1 gram = 1000 milligram
Then, 1 kilogram =
milligrams
Then, 
Now, 
Hence, A commercial package contains 0.0072 kilogram of ibuprofen.
The measure of angle B is equal to 60 degrees.
In order to find this, we can first note that the angle C (in the right side triangle) is equal to 80 degrees. We can tell this because it creates a straight line with the other angle C and therefore the two combined give us 180 degrees.
Then we can add angle A, B and C together in the right side triangle to get 180 degrees since they are all the measures of angles in a triangle.
A + B + C = 180
2x + 3x + 80 = 180
5x + 80 = 180
5x = 100
x = 20
Now that we have the x value, we can plug into the equation for B.
B = 3x
B = 3(20)
B = 60
A half-life of 9 minutes corresponds to a decay factor <em>k</em> such that

Then the time it takes for the substance to decay from 610 g to 124 g is time <em>t </em>such that

Solve for <em>t</em> :



so it takes about 20.7 min for the 610 g sample to decay down to 124 g.