Which statement accurately describes a half-life?
a rock’s size is determined by half-life.
all stable and unstable elements have a half-life.
an atom of an element becomes half its original size in a half-life.
a half-life is the time required for half of a radioactive element to decay.

answer last one

Option (4)

Explanation:

The half-life of a radioactive isotope is defined as the time that is obtained by a radioactive isotope in order to decay half of its original concentration. This half is very important to know in order to calculate the age of a rock. The process of half-life is the same for all types of rocks but the duration of a half-life is different from one rock to another.

Mathematically, the half life of a radioactive isotope is given by-

where, = Radioactive half-life

= Decay constant

ln (2) = Natural log of 2

Thus, the correct answer is option (4).

we have been given a quadratic function and we need to restrict the domain such that it becomes a one to one function.

we know that vertex of this quadratic function occurs at (5,2).

further, we know that range of this function is .

if we restrict the domain of this function to either or , it will become one to one function.

let us know find its inverse.

upon interchanging x and y, we get:

let us now solve this function for y.

hence, the inverse function would be if we restrict the domain of original function to and the inverse function would be if we restrict the domain to .