Answer: y3=x y 3 = x
Step-by-step explanation:
Answer:
800÷2=400
Step-by-step explanation:
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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)
Answer: 2.6
Step-by-step explanation:
1: Split the number into its whole number component and it fractional component.
2 3/5=2+3/5.
2: For the denominator, recognize that 5x20=100.
Multiple=20.
3: Multiply both the numerator and denominator by the multiple 20.
3x20, 5x20.
4: Simplify.
60/100.
5: Simplify.
0.6
6: Combine the whole number component with the decimal.
2.6✅
