You are taking a picture of a giraffe that is standing far away from you. the image is just too small, so you swap the 60-mm-focal-length lens in your camera for a 960 mm telephoto lens. by what factor does this increase the size of the image?

Explanation:

Given that, you are taking a picture of a giraffe that is standing far away from you. The image is just too small, so you swap the 60-mm-focal-length lens in your camera for a 960 mm telephoto lens such that,

We need to find the the factor with which the size of the image increases. It can be calculated by taking ratios of both

So,

So, the size of image increases by a factor of 16. Hence, this is the required solution.

multiple

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.