The initial number of carbon-14 atoms in the organism at death is .
After 11,460 years, there will be carbon-14 atoms in the organism.
After years, there will be 24.298 carbon-14 atoms in the organism.
answer
500
125
25.000
question
Carbon-14 has a half-life of approximately 5,730 years. This exponential decay can be modeled with the function N(t) = N0.
If an organism had 200 atoms of carbon-14 at death, how many atoms will be present after 14,325 years? Round the answer to the nearest hundredth.
atoms
answer
35.36
question
Based on the reading, what are the properties of carbon-14? Check all that apply.
answer
1 2 5
question
What was the sensitive, well-insulated tool Willard F. Libby used to date artifacts with known ages?
answer
c
question
Willard F. Libby received his undergraduate degree from .
After he completed his graduate work, he became a professor at .
In 1960, he won a Nobel Prize in
answer
D
D
B
question
Which function represents exponential decay?
answer
D
question
Which graph represents exponential decay?
answer
D
question
In order for the table below to show exponential decay, what must the value of d be in the table below?
d =
answer
18
question
Which statements describe the function f(x) = 3()x? Check all that apply.
answer
1 2 5
question
Which function represents the given graph?
answer
A
question
Which graph represents the function f(x) = (3/2)-x
answer
B
question
A doctor estimates that a particular patient is losing bone density at a rate of 3% annually. The patient currently has a bone density of 1,500 kg/mg3. The doctor writes an exponential function to represent the situation. Which values should the doctor use for a and b in a function written in the form f(x) = abx, where f(x) represents the bone density after x years?
answer
1500
0.97
question
A farmer estimates that he has 9,000 bees producing honey on his farm. The farmer becomes concerned when he realizes the population of bees seems to be decreasing steadily at a rate of 5% per year. If the number of bees in the population after x years is represented by f(x), which statements about the situation are true? Check all that apply.
answer
2 3 6
question
How do the graphs of the functions f(x) = ()x and g(x) = ()x compare?
answer
The graphs are reflections of each other over the y-axis. The graph of g(x) shows exponential decay, while the graph of f(x) shows exponential growth.
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