Answer:
Per hour decay of the isotope is 0.96%.
Step-by-step explanation:
Amount of radioactive element remaining after t hours is represented by
![y=a(0.5)^{\frac{t}{72}}](https://tex.z-dn.net/?f=y%3Da%280.5%29%5E%7B%5Cfrac%7Bt%7D%7B72%7D%7D)
where a = initial amount
t = duration of decay (in hours)
Amount remaining after 1 hour will be,
![y=a(0.5)^{\frac{1}{72} }](https://tex.z-dn.net/?f=y%3Da%280.5%29%5E%7B%5Cfrac%7B1%7D%7B72%7D%20%7D)
y = 0.9904a
So amount of decay in one hour = a - 0.9904a
= 0.0096a gms
Percentage decay every hour = ![\frac{\text{Amount of decay}}{\text{Initial amount}}\times 100](https://tex.z-dn.net/?f=%5Cfrac%7B%5Ctext%7BAmount%20of%20decay%7D%7D%7B%5Ctext%7BInitial%20amount%7D%7D%5Ctimes%20100)
= ![\frac{0.0096a}{a}\times 100](https://tex.z-dn.net/?f=%5Cfrac%7B0.0096a%7D%7Ba%7D%5Ctimes%20100)
= 0.958 %
≈ 0.96 %
Therefore, per hour decay of the radioactive isotope is 0.96%.
Answer:
56
Step-by-step explanation:
Recall that 1 lb = 16 oz, meaning that 1/2 lb = 8 oz.
Thus, we need only divide 28 lb by 1/2 lb to determine the number of 8 oz servings are contained in a 28 lb bag of dog food:
28 lb
--------------------- = 56 8-oz servings
1/2 lb/ serving
Answer:
We can find the system equivalent to this one by replacing one of the equations with a multiply of itself, so:
Let’s multiply y = x-2 by 2
2y=2x-4
A system equivalent to this one is
y = -2x^2 (this remains the same)
2y= 2x-4
I think that the answer is a increase