2 years ago

Q: Simplify. 1. 3^(n+1) - 3^n / 3^(n-1)

Mathematics

1 answer:

igor_vitrenko [27]2 years ago

7 0

Answer:

3^(n+1) - 3^n / 3^(n-1) = 6

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In a small chess tournament, 20 matches were played. Find out how many people were involved if it is known that each participant

Nina [5.8K]

Answer:

5 players participated in the tournament.

Step-by-step explanation:

In a small chess tournament, 20 matches were played.

Let us assume that n number of players participated in the tournament

As in each game 2 players play, so the number of ways they can play is,

$=\ ^nC_2$

As they played 2 games with every other participant in the tournament.

So the total number of games is,

$=\ 2\times ^nC_2$

But it is given to be 20, so

$\Rightarrow \ 2\times ^nC_2=20$

$\Rightarrow \ ^nC_2=10$

$\Rightarrow \dfrac{n!}{2!(n-2)!}=10$

$\Rightarrow \dfrac{n(n-1)}{2}=10$

$\Rightarrow {n(n-1)=20$

As $5\times 4=20$ , so we get n=5.

Therefore, 5 players participated in the tournament.

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2 years ago

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Simplify the expression: -2(-1 + 2w) = Submit please

Margaret [11]

$-2(-1+2w)$

distribute

$2-4w$

put in standard form

$-4w+2$

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1 year ago

Use the formula d =rt to find the distance d a long distance runner can run at a rate r of 9 1/2 miles per hour for time t of 1

shtirl [24]

D=rt
So you're going to plug in the values listed: r= 9 1/2 and t=1 3/4

This will give you:
d=(9.5)(1.75)

Then you solve:
d=16.625

You should probably convert that decimal answer into a fraction since you're question gave it to you as a fraction.

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2 years ago

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amid [387]

I DONT KNOW BUT THAT'S MY ANSWER HOPE IT HELP

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3 years ago

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PLEASE HELP

Taya2010 [7]

Answer:

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Step-by-step explanation:

By the way, question 2 is same as question 1

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3 years ago

Q: Simplify. 1. 3^(n+1) - 3^n / 3^(n-1)​

Q: Simplify. 1. 3^(n+1) - 3^n / 3^(n-1)