Element X is a radioactive isotope such that every 14 years, its mass decreases by half. Given that the initial mass of a sample of Element X is 360 grams, how long would it be until the mass of the sample reached 100 grams, to the nearest tenth of a year?

25.9 years

Step-by-step explanation:

The half life of an isotope is related to the actual amounts by the equation:

N = Ni*(1/2)^(t/HL)

where N and Ni are the final and initial (Ni) amounts, t is the time (in years for this problem) and HL is the half-life, in years.

In this problem, we can write:

100 = 360*(1/2)^(x/14)

I'll reduce this to:

1 = 3.6*(1/2)^(x/14)

This can be solved by taking the log of both sides.

x = 25.87 or 25.9 years

idk bring the function back   im not smart

step-by-step explanation:

x = 17

step-by-step explanation:

in the given figure, two triangles are inscribed in a circle where ∠bae ≅ ∠dae which makes the side be and de equal so we can write it as:

3x - 24 = x + 10

solving this equation for x to get:

3x - x = 10 + 24

2x = 34

x = 34/2

x = 17

therefore, the value of x = 17.