You drop a ball from a height of 1.5 meters. each curved path has 75% of the height of the previous path. a. write a rule for the sequence using centimeters. the initial height is given by the term n = 1. b. what height will the ball be at the top of the sixth path?

The height of the ball would be 0.355 meters at the top of the sixth path.

Step-by-step explanation:

Since we have given that

Initial height  = 1.5 meters

Rate of growth = 75%

So, we need to find the height at n paths.

Since it forms geometric progression.

Here, a = 1.5

r = 0.75

So, nth term becomes

We need to find the height at the top pf the sixth path.

So, it becomes,

Hence, the height of the ball would be 0.355 meters at the top of the sixth path.

the population of other specie of birds will decline or other specie of birds will find some alternate source of food to survive.

explanation:

according to the competitive exclusion principle, which is also known as gause's law, two specie living in the same niche and feeding on the same resource cannot co-exist stably.

as we have well studied the theory of natural selection which states that only those organisms survive which have better tendency to compete for food and adapt to the environmental conditions.

coming towards the question, what wi ll happen when one species outcompetes the other for the small fish , the other specie will not get enough food and will start to die or decline in population. eventually either other specie needs to find another alternative food source for itself or migrate at some other location where there is less competition otherwise it will just not exist anymore at that niche.

hope it !

the answer is b