Element X is a radioactive isotope such that every 69 years, its mass decreases by half. Given that the initial mass of a sample of Element X is 20 grams, how much of the element would remain after 30 years, to the nearest whole number?

Step-by-step explanation:

Since the mass of the radioactive isotope is halved every 69 years, we want to multiply its initial mass by every 69 years.

We can model this using the following equation:

The remaining mass, , is equal to the initial mass multiplied by , where is the number of years that have passed from the initial mass. The reason why the exponent is is because we only want to half the mass every 69 years, so and .

Thus, we have:

Substituting , we get:

for this pair of functions g(x)=x-2 and f(x)=|x| is (g o f)(a)= |a| -2

step-by-step explanation:

g(x)=x-2

f(x)=|x|

(g o f)(a)=?

(g o f)(x)=g(f(x))

(g o f)(x)=g(|x|)

(g o f)(x)=|x|-2

(g o f)(a)=|a|-2

could u provide us some answer choices or hmm idk maybe a table for us to anser with ? ?