Answer:
It would take 75.8 minutes for the element to decay to 2 grams.
Step-by-step explanation:
The number of grams of element x, after t minutes, is given by the following equation:

In which X(0) is the initial amount and r is the decay rate.
There are 160 grams of Element X
This means that X(0) = 160.
So


Half life of 12 minutes.
This means that X(12) = 0.5*X(0) = 0.5*160 = 80. So



![\sqrt[12]{(1 - r)^{12}} = \sqrt[12]{0.5}](https://tex.z-dn.net/?f=%5Csqrt%5B12%5D%7B%281%20-%20r%29%5E%7B12%7D%7D%20%3D%20%5Csqrt%5B12%5D%7B0.5%7D)

So


How long would it take for the element to decay to 2 grams?
This is t for which X(t) = 2. So







It would take 75.8 minutes for the element to decay to 2 grams.
Explanation of what exactly
Answer:
14.2 is the diameter.
Step-by-step explanation:
The radius squared = 52.
What you have given is the general equation of the circle with a center at (2,-3) and a radius of sqrt(52)
You can break the 52 down.
sqrt(52) = sqrt(4 * 13) = 2 sqrt(13). Notice that 4 is a perfect square.
d = 2*radius.
d = 2(2 sqrt(13) )
d = 4 sqrt(13)
That is the diameter. You want it to the nearest 1/10
d = 14.222 but it is to the nearest 1/10
d = 14.2
Answer:
(4,-5)
Step-by-step explanation:
Hi, I don't get your question whats motion motion also what transformation do u got like a pic of somthin?