Answer:
t = 24
Step-by-step explanation:
Given that t varies inversely with a then the equation relating them is
t = ← k is the constant of variation
To find k use the condition t = 2 when a = 36, that is
2 = ( multiply both sides by 36 )
72 = k
t = ← equation of variation
Given a = 3, then
t = = 24
Answer:
Step-by-step explanation:
Let x is the total population of the world.
Therefore, by the condition given the population of North America is
Again it is given that fraction of the world's population lives in the United States of America.
So, is the population of USA.
Therefore, the fraction of the population of North America that is the population of USA will be (Answer)
Answer:
The function that represents the mass of the sample after t days is .
The percentage rate of change per hour is of -2.46%.
Step-by-step explanation:
Exponential amount of decay:
The exponential amount of decay for an amount of a substance after t days is given by:
In which A(0) is the initial amount, and r is the decay rate, as a decimal.
Element X is a radioactive isotope such that its mass decreases by 59% every day. The experiments starts out with 390 grams of Element X.
This means, respectively, that
So
The function that represents the mass of the sample after t days is .
Hourly rate of change:
Decreases by 59% every day, which means that for 24 hours, the rate of change is of -59%. So
-59%/24 = -2.46%
The percentage rate of change per hour is of -2.46%.