undetectable) in 20 hours. There
exists a set of ordered pairs (t, m),
where t is the amount of time in hours
that the substance has been decaying,
and m is the mass in grams that has
decayed.
If t > 0, what is the range of m?
Answer:
The range is 0 < m < 2000 when t > 0
Step-by-step explanation:
* Lets explain how to solve the problem
- The exponential function is , where
a is the initial amount and b is the growth factor
- If b > 1, then it is exponential growth function
- If 0 < b < 1, then it is exponential decay function
* Lets solve the problem
- A 2000 gram sample of radioactive matter will completely decay
(be undetectable) in 20 hours
- There is a set of ordered pairs (t , m) exists, where t is the amount
of time in hours that the substance has been decaying and m is
the mass in grams that has decayed
∵ We can represent this situation by an exponential decay function
∴ , where b is the growth factor which is
greater than zero and less than 1 , t is the lime in hours and
m(t) is the mass of the substance in gram
- In any function the domain is the value of x and the range is
the value of y
∵ In the function the domain is t and the range is m
∵ When t = 0 then m = 2000 ⇒ initial amount
∵ When t = 20 then m will be closed to zero
∴ The domain of the function is 0 < t < 20
∴ The range of the function is 0 < m < 2000
* The range is 0 < m < 2000 when t > 0
Answer:
Step-by-step explanation:
Here we are given with two coordinates and asked to determine the distance between them.
Here we are going to use the distance formula, which is given as under
Where
Replacing these values in the distance formula
Hence the Distance is 7.071 units
Answer:
7.07
Step-by-step explanation:
A.
–2
B.
0
C.
1
D.
3