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fomenos
3 years ago
14

Pls answer fast, i need to go to friends but parents wont let me.

Mathematics
1 answer:
Tanya [424]3 years ago
4 0

Answer:

line C

Step-by-step explanation:

The equation would be

y= 1/2x

So that means the slope is 1/2

Starting at (0,0) we would go up 1 and over 2

That would be point (1,2)

That is the purple line, line C

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If 32 teams participate in a standard single elimination tournament, how many games must be played to decide a champion?
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<h3>Answer: 31 games</h3>

======================================================

Explanation:

  • 32/2 = 16 games will happen in round 1. Afterward, 16 teams are left.
  • 16/2 = 8 games will happen in round 2. Afterward, 8 teams are left.
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  • 4/2 = 2 games in round 4.
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Count the number of times you divide by two and we have five occurrences of this. So there five rounds overall.

To get the total number of games played, we add up the quotients

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Or as a shortcut we can simply subtract off 1 since 1+2+4+...+2^n = 2^(n+1)-1

We can write that rule as

\displaystyle \sum_{k=1}^{n}2^k = 2^{n+1}-1

which is equivalent to

\displaystyle \sum_{k=1}^{n}2^{k-1} = 2^n-1

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