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professor190
1 month ago
6

I JUST NEED THESE 3 QUESTIONS

Mathematics
1 answer:
AnnZ [12.3K]1 month ago
8 0

Answer:  

 

1.     What are the amplitude and period of the sine function that indicates the positioning of the band members as they start performing?

Answer:  The amplitude is 80 ft and the period is 60 ft.

 

2.     Edna, seated in the stands, faces Darla and notices that the sine curve starts rising from the left edge of the field. What is the equation for the sine function representing the arrangement of band members at the beginning of their performance?

Answer:  y = 80cos(x*π/30)+80

 

3.     When the band starts playing, the members move away from the edges, and the sine curve changes to start decreasing at the far left. Darla remains in her position. Now the sine curve is half as tall as it originally was. What is the equation for the updated sine curve depicting the band members' positions?

Answer: y = 40cos(x*π/30)+80

 

4.     Finally, the entire band shifts closer to the edge of the football field, causing the sine curve to now position itself in the lower half of the field from Edna’s perspective. What is the equation for this sine curve reflecting the band members' positions after these adjustments?

Answer:  y = 40cos(x*π/30)+40

Step-by-step explanation:

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Answer:

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To predict the population in subsequent years, utilize the formula y=mx+b due to the linear nature of the change.

Over four years, the fluctuation in the owl population from 340 to 285 is -55. Dividing this by 4 gives a yearly change rate of -13.75, which represents m.

The initial value or y-intercept, denoted as b in the formula, is 340.

Thus, the equation formed is y=-13.75x+340.

For the year 2019, where t=16, we calculate y=-13.75(16)+340, yielding 120.


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