A68 kg hiker walks at 5.0 km/h up a 3% slope. the indicated incline is the ratio of the vertical distance and the horizontal distance expressed as percentage.

what is the necessary metabolic power?

Explanation:

As we know that the slope of the inclination is 3%

so we can say that

since it is very small so here we can take approximation as

so we need to find the metabolic power which is given as

so here we have

now we have

the working equation for the angular size is the product of the physical size and 360 degrees divided by the product of two pi and distance from earth. the minimum size would be 0.559 degrees while the maximum size would be 0.49 degrees. 

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.