Answer:
Step-by-step explanation:

<span>Formula for exponential decay is:
N = No * e^-kt
N = 1/2(45) = 22.5
No = 45
k = 0.1109
The solution to your problem is as follows:
Let's try to solve the half-life if it is 45 grams, after which, you will now have an idea on how to solve the problem.
22.5 = 45 * e^(-0.1109t)
1/2 = e^(-0.1109t)
ln(1/2) = -0.1109t
t = (ln(1/2))/(-0.1109) = 6.25 days
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Answer:
m = (g - 5) / (a + 3)
Step-by-step explanation:
g-3m=am+5
- Get all the m's on one side.
g - 5 = am + 3m
- Combine the m's into one term, using brackets
g - 5 = (a + 3)m
- Get m on it's own by dividing by a + 3
(g - 5) / (a + 3) = m
Using derivatives, it is found that:
i) 
ii) 9 m/s.
iii) 
iv) 6 m/s².
v) 1 second.
<h3>What is the role of derivatives in the relation between acceleration, velocity and position?</h3>
- The velocity is the derivative of the position.
- The acceleration is the derivative of the velocity.
In this problem, the position is:

item i:
Velocity is the <u>derivative of the position</u>, hence:

Item ii:

The speed is of 9 m/s.
Item iii:
Derivative of the velocity, hence:

Item iv:

The acceleration is of 6 m/s².
Item v:
t for which a(t) = 0, hence:




Hence 1 second.
You can learn more about derivatives at brainly.com/question/14800626