80-30=50 your answer would be 50
Answer:
The factors of 45 are: 1, 3, 5, 9, 15, 45
The factors of 76 are: 1, 2, 4, 19, 38, 76
Then the greatest common factor is 1.
Step-by-step explanation:
There are no common factors other than 1
Answer: 693 years
Step-by-step explanation:
Expression for rate law for first order kinetics is given by:
![A(t) =A_0e^{kt}](https://tex.z-dn.net/?f=A%28t%29%20%3DA_0e%5E%7Bkt%7D)
k = rate constant
t = time taken for decomposition = 1
= Initial amount of the reactant
= amount of the reactant left =![A_0-\frac{0.1}{100}\times A_0=0.999A_0](https://tex.z-dn.net/?f=A_0-%5Cfrac%7B0.1%7D%7B100%7D%5Ctimes%20A_0%3D0.999A_0)
![0.999A_0=A_0e^{k\times 1}](https://tex.z-dn.net/?f=0.999A_0%3DA_0e%5E%7Bk%5Ctimes%201%7D)
![0.999=e^k](https://tex.z-dn.net/?f=0.999%3De%5Ek)
![k=-0.001year^{-1}](https://tex.z-dn.net/?f=k%3D-0.001year%5E%7B-1%7D)
for half life : ![t=t_\frac{1}{2}](https://tex.z-dn.net/?f=t%3Dt_%5Cfrac%7B1%7D%7B2%7D)
![A_t=\frac{1}{2}A_o](https://tex.z-dn.net/?f=A_t%3D%5Cfrac%7B1%7D%7B2%7DA_o)
Putting in the values , we get
![\frac{1}{2}A_0=A_0e^{-0.001\times t_\frac{1}{2}](https://tex.z-dn.net/?f=%5Cfrac%7B1%7D%7B2%7DA_0%3DA_0e%5E%7B-0.001%5Ctimes%20t_%5Cfrac%7B1%7D%7B2%7D)
![t_\frac{1}{2}=693 years](https://tex.z-dn.net/?f=t_%5Cfrac%7B1%7D%7B2%7D%3D693%20years)
Thus half life of this isotope, to the nearest year is 693.
1200/200 in a simplified form is
3/5