Element X decays radioactively with a half life of 12 minutes. If there are 160 grams of Element X, how long, to the nearest tenth of a minute, would it take

the element to decay to 2 grams?

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

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.

the answer is 13

step-by-step explanation:

5*5=25

12*12=144

25+144=169

169^2=13