Answer:
1/3÷4=0.0833
Step-by-step explanation:
This is approximate but you can round down to 0.08!
Answer:
Step-by-step explanation:
we know that
To find out how many weeks it will take to repair this stretch of road, divide the total length of the road by the workers' rate
so
Convert mixed number to an improper fraction
substitute
Convert to mixed number
Point-slope form, y-y1 = m(x-x1)
(y-(-4)) = -5/6 (x-8)
y+4 = -5x/6+20/3
y = -5x/6+20/3 - 4
y = -5x/6 + 8/3
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
d
Step-by-step explanation: The chain rule states that the derivative of f(g(x)) is f'(g(x))⋅g'(x). In other words, it helps us differentiate *composite functions*.
