Answer:
Q(t) = Q_o*e^(-0.000120968*t)
Step-by-step explanation:
Given:
- The ODE of the life of Carbon-14:
Q' = -r*Q
- The initial conditions Q(0) = Q_o
- Carbon isotope reaches its half life in t = 5730 yrs
Find:
The expression for Q(t).
Solution:
- Assuming Q(t) satisfies:
Q' = -r*Q
- Separate variables:
dQ / Q = -r .dt
- Integrate both sides:
Ln(Q) = -r*t + C
- Make the relation for Q:
Q = C*e^(-r*t)
- Using initial conditions given:
Q(0) = Q_o
Q_o = C*e^(-r*0)
C = Q_o
- The relation is:
Q(t) = Q_o*e^(-r*t)
- We are also given that the half life of carbon is t = 5730 years:
Q_o / 2 = Q_o*e^(-5730*r)
-Ln(0.5) = 5730*r
r = -Ln(0.5)/5730
r = 0.000120968
- Hence, our expression for Q(t) would be:
Q(t) = Q_o*e^(-0.000120968*t)
Straight lines can be divided into different segments
The value of DE is 23 units
We have:
Segment DF and EF have the same endpoint.
This means that, point E is located on segment DF
So, we have:
Substitute known values
Collect like terms
Hence, the value of DE is 23 units
Read more about line segments at:
brainly.com/question/15754081
Answer:
Answer: The 4 consecutive odd integers are 15, 17, 19, 21.
Answer:
Step-by-step explanation:just subtract the two waight numbers..so you would do..
140 lbs - 175 lbs
Answer:
y=66 and x=24
Step-by-step explanation:
