Answer:
It’s is also 6 and 9
Step-by-step explanation:
It’s 6 and 9 cause you divide
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:
5 weeks
Step-by-step explanation:
so if Lily has $60 and takes out (subtracts) 12 a week then it would look like this
<u> </u><u>TOTAL STARTED WITH EACH WEEK</u>
$60 -12 48
$48 - -12 36
$36 -12 24
$24 -12 12
$12 -12 0
SO Lily will have enough money to deposit for 5 weeks
Answer:
(2y - 1 -3 3x – y 2y = x - 2 answer is -3 or 56.309 or +3/2
Step-by-step explanation:
Cost of dried fruit per pound=2.5 $/pound
cost of nuts per pound =2 $/pound
total cost=225$ =cost of dried fruit +total cost of nuts
To find the cost of dried fruit we need to multiply cost of dried fruit per pound and the number of bounds hence 2.5 x where x is the number of bounds
which is the total cost of dried fruit and consequently 2y is total cost of nuts where y is the weight of nuts in pound
