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>
Step-by-step explanation:
This sales tax table (also known as a sales tax chart or sales tax schedule) lists the amount of sales tax due on purchases between $0.00 and $59.70 for a 5% sales tax rate.
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5% Sales Tax Chart ($0.00 - $59.70)
Price 20.10
Tax 1.01
Price 30.10
Tax 2.01
Tax 2.51
Answer:
C)
Step-by-step explanation:
Car A travels 180miles in 7 hours
Car A travels 25.7 miles an hour because 180/7 = 25.7
Car B travels 350 miles in 4 hours
Car B travels 87.5 miles an hour because 350/4= 87.5
Car C travels 584 miles in 15 hours
Car C travels 38.9 miles an hour because 584/9 = 38.9
Car B has the fastest average speed
