Answer:
the answer is 31.9 years
Step-by-step explanation:
initial mass, 
= 150 gram
half life, 
= 32 years
new mass = half of initial mass = M = 0.5
formula , M = 
where x is the number of years required.
therefore 0.5 = 
therefore -0.0217 x = 
therefore x = 
= 31.942
Subtract the constant vector that is on the left. The arithmetic applies to corresponding elements of the vectors.
![A=\left[\begin{array}{cccc}0&1&-2&3\end{array}\right] -\left[\begin{array}{cccc}11&17&-8&13\end{array}\right]\\\\A=\left[\begin{array}{cccc}-11&-16&6&-10\end{array}\right]\\\\a_{11}=-11\\a_{12}=-16\\a_{13}=6\\a_{14}=-10](https://tex.z-dn.net/?f=%20A%3D%5Cleft%5B%5Cbegin%7Barray%7D%7Bcccc%7D0%261%26-2%263%5Cend%7Barray%7D%5Cright%5D%20-%5Cleft%5B%5Cbegin%7Barray%7D%7Bcccc%7D11%2617%26-8%2613%5Cend%7Barray%7D%5Cright%5D%5C%5C%5C%5CA%3D%5Cleft%5B%5Cbegin%7Barray%7D%7Bcccc%7D-11%26-16%266%26-10%5Cend%7Barray%7D%5Cright%5D%5C%5C%5C%5Ca_%7B11%7D%3D-11%5C%5Ca_%7B12%7D%3D-16%5C%5Ca_%7B13%7D%3D6%5C%5Ca_%7B14%7D%3D-10%20)
Answer:
No, because the x value of 1 correlates to two different y values.
Step-by-step explanation:
A function is defined by an x value having exactly one corresponding y value. In this case, the x value of 1 corresponds to both the y values of 2 and 8, therefore invalidating it as a function.
Hope this helps!
You can use photomath it is a great app to find ONLY equations!
