To correct number of significant figures!! (2.58 x 10^-2)(2.3 x 10^3)
————————————— = ?
5.68 x 10^3

*the ‘——‘ is a fraction symbol btw

2.58 rounded to 1 significant figure is 3. 2.3 rounded to one significant figure is 2 and 10^-2 is 0.01, which is the same if you round it to one significant figure. This is because when the first number that ISN'T a 0, you round it either up or down to 1 significant figure, and in this case, it is 0.01.

5.68 rounded to one significant figure is 6. 10 to the power of three is 1000, and 1000 doesn't need to be rounded to one significant figure. 3 x 0.01 is 0.03, and 2 x 1000 is 2000. 2000 x 0.03 is 60. 6 x 1000 is 6000. then you divide 60 by 6000, which is 0.01.

Explanation:

hope this helps you.

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.