Answer:
96
Step-by-step explanation:
2 cans/24 = 8 cans/x
24 times 8/2 = 96
Answer:
B should be.
Step-by-step explanation:
all options, other than B have two values in set B(y) for at least 1 value of x
hence they are not functions, as a function contains unique image of x
The answer would be 49 + 42b if you multiply 7*7 and 7*6b
Answer:
464 grams.
Step-by-step explanation:
Amount of substance:
The amount of substance after t years is given by an equation in the following format:
![A(t) = A(0)(1-r)^t](https://tex.z-dn.net/?f=A%28t%29%20%3D%20A%280%29%281-r%29%5Et)
In which A(0) is the initial amount and r is the decay rate, as a decimal.
Co-60 has a half life of 5.3 years.
This means that:
![A(5.3) = 0.5A(0)](https://tex.z-dn.net/?f=A%285.3%29%20%3D%200.5A%280%29)
We use this to find r. So
![A(t) = A(0)(1-r)^t](https://tex.z-dn.net/?f=A%28t%29%20%3D%20A%280%29%281-r%29%5Et)
![0.5A(0) = A(0)(1-r)^{5.3}](https://tex.z-dn.net/?f=0.5A%280%29%20%3D%20A%280%29%281-r%29%5E%7B5.3%7D)
![(1-r)^{5.3} = 0.5](https://tex.z-dn.net/?f=%281-r%29%5E%7B5.3%7D%20%3D%200.5)
![\sqrt[5.3]{(1-r)^{5.3}} = \sqrt[5.3]{0.5}](https://tex.z-dn.net/?f=%5Csqrt%5B5.3%5D%7B%281-r%29%5E%7B5.3%7D%7D%20%3D%20%5Csqrt%5B5.3%5D%7B0.5%7D)
![1 - r = 0.5^{\frac{1}{5.3}}](https://tex.z-dn.net/?f=1%20-%20r%20%3D%200.5%5E%7B%5Cfrac%7B1%7D%7B5.3%7D%7D)
![1 - r = 0.8774](https://tex.z-dn.net/?f=1%20-%20r%20%3D%200.8774)
So
![A(t) = A(0)(0.8774)^{t}](https://tex.z-dn.net/?f=A%28t%29%20%3D%20A%280%29%280.8774%29%5E%7Bt%7D)
If a pellet that has been in storage for 26.5 years contains 14.5g of Co-60, how much of this radioisotope was present when the pellet was put in storage?
We have that
, and use this to find A(0). So
![A(t) = A(0)(0.8774)^{t}](https://tex.z-dn.net/?f=A%28t%29%20%3D%20A%280%29%280.8774%29%5E%7Bt%7D)
![14.5 = A(0)(0.8774)^{26.5}](https://tex.z-dn.net/?f=14.5%20%3D%20A%280%29%280.8774%29%5E%7B26.5%7D)
![A(0) = \frac{14.5}{(0.8774)^{26.5}}](https://tex.z-dn.net/?f=A%280%29%20%3D%20%5Cfrac%7B14.5%7D%7B%280.8774%29%5E%7B26.5%7D%7D)
[tex]A(0) = 464[tex]
464 grams.