We find the value of N₀ since we are provided with initial conditions.
The condition is that, at time t = 0, the amount of substance contains originally 10 grams.
We substitute:
10 = N₀ (e^(-0.1356)*0)
10 = N₀ (e^0)
N₀ = 10
When the substance is in half-life (meaning, the half of the original amount), it contains 5 grams. We solve t in this case.
5 = 10 e^(-0.1356*t)
0.5 = e^(-0.1356*t)
Multiply natural logarithms on both sides to bring down t.
ln(0.5) = -0.1356*t
Hence,
t = -(ln(0.5))/0.1356
t ≈ 5.11 days (ANSWER)
Remember, the graph of a line represents every point that is a possible solution for the equation of that line. So when the graphs of two equations cross, the point of intersection lies on both lines, meaning that it is a possible solution for both equations. When the graphs of two equations never touch, there are no shared points and there are no possible solutions for the system. When the graphs of two equations lie on top of one another, they share all their points and every one is a possible solution.
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Answer:
3
Step-by-step explanation:
8 + 3 = 3 + 8
Order doesnt matter
Answer:
x = y - 6
Step-by-step explanation:
y = x + 6 (Given)
y - 6 = x (Subtracted 6 on both sides)
Answer:
The division was completed in the wrong order
Step-by-step explanation:
To convert
to a percent
The numerator is divided by the denominator, that is
0.625
8 | 5.0
Multiply 0.625 × 100% = 62.5%