The number of generations that have passed since the beginning of recorded history is approximately equal to 150.
<h3>What is half-life?</h3>
Half-life can be defined as an interval of time that is required for one-half of the atomic nuclei of a radioactive element to spontaneously decay into other species of elements, especially through the emission of particles and energy.
Based on scientific experiment and research conducted, we can infer and logically conclude that half of a radioactive nuclei can become nonradioactive after each half-life cycle because it's independent of the initial amount and unaffected by laboratory conditions.
<h3>How to calculate the number of generations?</h3>
First of all, we would determine the amount of time per generation by using the following mathematical expression:
Time per generation = 1/3 × time per lifetime
Time per generation = 1/3 × 2 × 10⁹ s
Time per generation = 2/3 × 10⁹ s
Mathematically, the number of generations can be calculated by using this formula:
Number of generations = Total time/Time per generation
Number of generations = (10¹¹ s)/(2/3 × 10⁹ s)
Number of generations = 300/2
Number of generations = 150.
Read more on number of generations here: brainly.com/question/8908560
#SPJ1