Answer:
<u><em>y = -190 cos(π t / 120) + 195</em></u>
Step-by-step explanation:
<em>General form of a sinusoidal function: y = A cos(Bt - C) + D
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<em>Now generally a cosine function starts at the maximum value, so to start at the minimum value, flip the cosine function by making it negative.
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<em>A is the amplitude of the curve and will be the radius of the ferris wheel. Therefore, A = 380 / 2 = 190 feet.
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2π / B is the period of the curve and will be the time to complete one full rotation. The time to complete one full rotation is given as 4 minutes. Convert this into seconds to get period = 4 minutes * (60 seconds / minute) = 240 seconds. Therefore, B = 2π / period = 2π / 240 seconds = π / 120.
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C/B is the phase shift, or horizontal shift of the graph. Since the negative cosine function already starts at the minimum value, there is no phase shift so C/B = 0, meaning C = 0.
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D is the vertical shift and will be the height of the center of the ferris wheel. Therefore, D = 195 feet.
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Your final function will be:</em>
<u><em>y = -190 cos(π t / 120) + 195</em></u>
Answer:
see below
Step-by-step explanation:
m/3 + 4 = 7
Subtract 4 from each side
m/3+4-4 = 7-4
m/3 = 3
Multiply each side by 3
m/3*3 = 3*3
m =9
Answer:
8. (0,-2)
9. (-2,1)
Step-by-step explanation:
Lucy's house is at (1,1)
Down means in the y coordinate , left means negative x
Down 3 means subtract 3 from y
left 1 means subtract 3 from x
(1-1, 1-3)
(0,-2)
9. Lucy is at (1,1)
3 units to the left
left means subtract 3 from x
(1-3, 1)
(-2,1)
Answer:
3.0.8
4.8
5.11.51
Step-by-step explanation:
