What happens to the energy "lost" by a machine? a. it is recycled by the machine b. energy is never lost by machines c. it goes into the environment

I would say A, although it depends on what kind of machine. If it does not recycle, then most likely C. I would be able to give more context based on what kind of machine it is.

The answer would be:

C: It goes into the environment

lose energy from a machine turns into heat.

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.