The temperature is directly proportional to the speed of sound. Why?

First, we need to understand what we mean by sound and temperature. Sound is the vibration of particles traveling as a wave. Temperature is a measure of energy in a system of particles. A higher temperature means the particles have a higher energy, higher energy means they're moving around faster, and that faster motion makes them more capable of carrying sound waves.

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.