Via half-life equation we have:

Where the initial amount is 50 grams, half-life is 4 minutes, and time elapsed is 12 minutes. By plugging those values in we get:

There is 6.25 grams left of Ra-229 after 12 minutes.
Answer:
The Height is H = 70.02 m
Explanation:
We are given that the
Initial length is =
= 
from what we are told in the question the circumference of the circle is =
This means that the Radius would be :
Let C denote the circumference
So

=> 

We are told that 1-meter bar of steel that increases its temperature by 1 degree C will expand
meters
Hence
The final length would be

Where T is the change in temperature
is the Coefficient of linear expansion for steel
let
denote the final length
So
![L_{final} =40000*10^{6} *[1+ 11*10^{-6}]](https://tex.z-dn.net/?f=L_%7Bfinal%7D%20%3D40000%2A10%5E%7B6%7D%20%2A%5B1%2B%2011%2A10%5E%7B-6%7D%5D)

Now the Height is mathematically represented as



Answer:
A. <u>The water decreases the friction between the floor and the feet </u>
Explanation: Think about it like this, when your in the shower and water is on your skin, you can scrub it fluidly, but when the water dries in your towel, there is more friction when your rub your skin, this is because the molecules in water aren't as compact as solids, so anything acting against it, is most likely to disperse from it.