In a group of 34 students, 12 study both Art and Biology.
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This corresponds to a sinusoidal graph, we have:
Radius= 20 feet, that corresponds to the amplitud (A)
One revolution takes 24 seconds, that corresponds to the period
Min= 3 feet
k=360/24=15
D= bottom distance+ amplitud=3+20=23 feet
Then, let x be the time, in seconds:
a) To determine Reid's height after 1 minute= 60 seconds, substitute x=60
b) To determine when Reid's height will first reach 18 feet, we have to substitute y=18 feet, and isolate x:
The slope-intercept form of line:
We have the slope and the point (-3, -2). Substitute:
<em>subtract 3/4 from both sides</em>
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