Simply divide 80 by 5. 5 goes into 80 16 times, and each 5 = one minuet, so it would take 16 minuets to fill the pool with 80 gallons.
The value of A is 9. This is because 40-13= 27
3x?=27 3x9=27
<h2>
Greetings!</h2>
Answer:
62.5%
Step-by-step explanation:
To find the percentage, you simply need to divide the number on top by the number on bottom and multiply by 100:
5 ÷ 8 = 0.625
0.625 x 100 = 62.5
So the percentage is 62.5%!
<h2>Hope this helps!</h2>
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)
If you would like to know the bike wheel's diameter in millimeters, you can calculate this using the following steps:
26 inches in diameter
1 inch = 25.4 millimeters
26 inches = 26 * 1 inch = 26 * 25.4 millimeters = 660.4 millimeters
The correct result would be 660.4 millimeters in diameter.
