Answer:
y = five-halves x, where y is the cost in cents for a book that is x days overdue
Step-by-step explanation:
See attachment
A^2+B^2=C^2
6*6+6*6 = sqrt(72) so... 8.49 blocks in a Northwest Direction
Answer:
A: False
B: False
C: True
D: True
E: False
F: True
G: True
H: True
Step-by-step explanation:
A: 9(x - 2) = 9x + 2
9x - 18 = 9x + 2 FALSE
B: 65 - y = y - 65
(equation rearranged) -y + 65 = y - 65 FALSE
C: g (times) h = h (times) g (TRUE due to the commutative property of multiplication)
D: a (times) 0 = 0 (TRUE because anything times 0 equals 0)
E: (4 (times) 2) - r = 4 (2 (times) r)
8 - r = 8 - 4r FALSE
F: k + 0 = k TRUE
G: (a + x) + y = a + (x + y)
a + x + y = a + x + y TRUE
H: 5(2x - 9) = 10x - 45
10x - 45 = 10x - 45 TRUE
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>
