Finding the center of gravity:

three identical coins, labeled a, b, and c in the figure, lie on three corners of a square 10.0 cm on a side. determine the x coordinate of each coin, xa, xb, and xc.
express your answers in centimeters, separated by commas.

The answer is:

xA = 0

XB = 0

XC = 10.0.

The explanation:

1) From the given figure we can see that the coin B lies at the origin with coordinates (0,0).

2) and the coins A, B and C  on the corners of a square.

3) The length of all sides in a square are equal. The distance between B and C form a side of a square.

4) So distance from B to C is 10 cm. Likewise, distance from B to A is also 10 cm.

5) and when B is located at point (0,0) and C is 10 units right of B, so coordinates of C will be (10,0).

6) A is located 10 units above B, so coordinates of A will be (0, 10).  

7) Therefore, the x-coordinates of A, B and C are 0,0 and 10 respectively.

d. learned preferences i believe is your answer

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.