The depth of the water at the end of a pier changes periodically along with the movement of tides. on a particular day, low tides occur at 12: 00am and 12: 30pm, with a dept of 2.5 m, while high tides occur at 6: 15am and 6: 45pm, with a depth of 5.5 m. let t=0 be 12: 00 am. which periodic function, since or cosine would be simpler model for the situation?

Step-by-step explanation:

General formula  

First transform data

12:00 am -> t=0 -> x=2.5

6:15 am -> t=6.25 -> x=5.5

12:30 pm -> t=12.5 -> x=2.5

6:45pm -> t=18.75 -> x=5.5

Period (T) is the time between two equal values of x.  

t=0 -> x=2.5  

t=12.5 -> x=2.5

t=6.25 -> x=5.5

t=18.75 -> x=5.5

T = 12.5 - 0 = 18.75 - 6.25 = 12.5

B is the shift of the cosine function with respect to y-coordinate. It is halfway between maximum and minimum values of the function

B = (5.5 + 2.5)/2 = 4

The amplitude (A) is the distance from the highest point to B  

A = 5.5 - 4 = 1.5  

Therefore, the correlation is

Model verification

x(0) = -1.5 + 4 = 2.5

x(6.25) = 1.5 + 4 = 5.5

x(12.5) = -1.5 + 4 = 2.5

points are handed out whenever you post answers.

brainliest answers are handed out by the person asking the question, so whether your answer is picked depends entirely on whether the asker bothers to pick

if you're asking about your rank, it depends on having a certain number of points and a certain number of brainliest answers. for example, at the time of this writing, i have 44338 points out of 15000 needed for the next (nearly triple the requirement! ) but i only have 24 out of 50 required brainliest answers. this number decays, meaning after a certain amount of time (i think about a month), the total number of brainliest answers you've earned doesn't count toward this total. (i've been stuck at the same rank for a long

the lesson to learn here is that you shouldn't worry about points or rank. chances are, no matter how good an answer you may provide, your efforts will go mostly unnoticed unless you focus on the newest/most active questions that get posted.

part 1 answer = 8

part 2 answer = 72

step-by-step explanation:

part 1 explanation = add all of the numbers, then divide by how many numbers you have. so, 200/25 = 8.

part 2 explanation = not gonna lie, this is hard to explain, so just google how to do it.