5. which answer correctly summarizes the essential elements of a scientific theory? . a. descriptions of the natural world; based on many observations and data; do not explain why. b. eventually become laws; based on many tests and reviews; usually do not change. c. never become laws; based on strong scientific support; may change based on evidence. d. predictions and descriptions; based on observation and logic; may change based on evidence.

Answer;

C. never become laws; based on strong scientific support; may change based on evidence.

Explanation;

-A scientific theory is a generally accepted, thoroughly tested and confirmed explanation for a set of observations or phenomena. Scientific theory is the foundation of scientific knowledge.

-In addition, in many scientific disciplines (less so in biology) there are scientific laws, often expressed in mathematical formulas, which describe how elements of nature will behave under certain specific conditions.

answer: at 24 february, 2014 the population gets twice of its initial population.

explanation:

since we have given that

the population for alpha city, t years after january 1, 2004 is given as

first we find out the initial population, i.e. t=0,

so, our quadratic equation becomes,

according to question, we have said that if the population has twice its initial population, then it becomes

so, time taken to reach this above mentioned population is given by

now, we know that time can't be negative so, we take t=9.149 years.

hence, at 24 february, 2014 the population gets twice of its initial population.