Y=x2-1 is not a linear equation only because for it to be an linear equation it would have to be 2x-1=y or y=2x-1
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There are seven (7) friends.
The first friend to board can be any one of the 7. For each of them ...
The 2nd one to board can be any one of the remaining 6. For each of them ...
The 3rd one to board can be any one of the remaining 5. For each of them ...
The 4th one to board can be any one of the remaining 4. For each of them ...
The 5th one to board can be any one of the remaining 3. For each of them ...
The 6th one to board can be either of the remaining 2. For each of them ...
The 7th one to board is the last 1 standing.
The number of different ways that this could play out is
(7 x 6 x 5 x 4 x 3 x 2 x 1) = <em>5,040</em>
<h3>
Answer: 35</h3>
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Explanation:
To start off, we'll find the circumference of the full circle. We'll ignore the black and yellow sectors.
C = 2*pi*r
C = 2*pi*7
C = 14pi
This is the exact distance around the full circle in terms of pi
However, we don't want the the full circular perimeter. Instead, we only want the portions that are along the black sectors. The yellow sectors have central angle 24 degrees each. This takes up 3*24 = 72 degrees overall because the three regions have equal area and equal central angle.
Subtract that from 360:
360-72 = 288
The yellow regions take up 72 degrees while the remaining black sectors take up a combined 288 degrees.
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Why is 288 useful? Because it helps set up the fraction 288/360 to represent the portion of the perimeter that we care about.
(288/360)*14pi = 35.1858 mm approximately
This rounds to 35 mm