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Scorpion4ik [409]
3 years ago
13

Find the 100th term in the arithmetic sequence

Mathematics
1 answer:
fiasKO [112]3 years ago
5 0

a_n=a_1+(n-1)d\\\\d=a_{n+1}-a_n


a_1=-19;\ a_2=-14;\ a_3=-9;\ a_4=-4;\ a_5=1;\ ...\\\\d=a_2-a_1=a_3-a_2=a_4-a_3=...\\\\d=-14-(-19)=-14+19=5\\\\a_n=-19+(n-1)(5)=-19+5n-5=5n-24\\\\a_{100}=5(100)-24=500-24=476\to\boxed{c.}

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The side length of a square patio is 2.59 meters. Which is the best estimate for the perimeter of the patio, in meters?
Alex787 [66]

Hey there! I'm happy to help!

The perimeter is all of the sides of a shape added up.

Since all of the sides on a square are the same and we know one side, we just multiply it by four.

2.59(4)=10.36

Therefore, the patio is about 10.56 meters.

I hope that this helps! :D

8 0
3 years ago
In the game of tic-tac-toe, if all moves are performed randomly the probability that the game will end in a draw is . Suppose si
algol13

Completed question:

In the game of tic-tac-toe, if all moves are performed randomly the probability that the game will end in a draw is 0.127. Suppose six random games of tic-tac-toe are played. What is the probability that at least one of them will end in a draw?

Answer:

0.557

Step-by-step explanation:

For each game, the probability of not end in a draw is 1 - 0.127 = 0.873. Thus, because each game is independent of each other, the probability of all of them not end in a draw is the multiplication of the probability of each one:

0.873x0.873x0.873x...x0.873 = 0.873⁶ = 0.443

Thus, the probability that at least one of them end in a draw is the total probability (1) less the probability that none of them en in a draw:

1 - 0.443

0.557

7 0
3 years ago
5x+7 but the given x=6
lions [1.4K]

Answer:

37

Step-by-step explanation:

5 x 6 = 30

30+7=37

8 0
3 years ago
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Answer:

Step-by-step explanation:

2 functions start by making a domain

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Now come up with equations

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8 0
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