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Naya [18.7K]
2 years ago
6

The function f(x) = –16x2 + 64x + 200 models the height of a model rocket, f(x), in feet, x seconds after it was launched. After

how many seconds did the rocket reach its maximum height?
A. 2 seconds
B. 4 seconds
C. 64 seconds
D. 256 seconds

Mathematics
2 answers:
Goryan [66]2 years ago
8 0
The answer is actually A, or 2 seconds. If you make a table of values , and replace X with any of the answers given, you’ll see that at 2 seconds, the rocket has reached it max height of 264 feet

nasty-shy [4]2 years ago
4 0
The answer would be c I know cause I got it right on the test!
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25 1/2 is what percent of 85
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The yearly Penn rock-paper-scissors tournament has come down to the final series between Zach and Shaya. They play a best-of-thi
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Answer:

p=41.79%

Step-by-step explanation:

First let us remember the calculation of a probability:

p=\frac{number of favorable outcomes}{total number of possible outcomes}

In this case let's calculate the number of possibilities of winning the tournament when either one of them, Zach(Z) or Shaya(S), wins the first game (number of favorable outcomes). That is:

Given that Z or S won the first game, the player has another 6 possibilities of winning among 12 remaining games, which is a combination:

number of favorable outcomes = 12C6 = 924

Therefore, the winner of the first game has 924 opportunities of winning 6 other games among 12 games and be the tournament winner.

Now, we must find the number of total possible outcomes, which we may analize as it follows:

Assuming that the first winner Z or S loses the tournament we have several outcomes:

1. After winning the first game, the player doesn't win again, then we have 0 possbilities among 7 other games, this is because the next player would win the tournament winning 7 games in a row. We then have the combination 7C0.

2. The player wins just one more game, but doesn't win again. Now we have 1 possibility among 8 games, given that the other player would win the other 7 games. We then have the combination 8C1.

3. The player wins just two more games, but doesn't win again,  now we have 2 possibilities among 9 games, given that the other player would win the other 7 games. We then have the combination 9C2.

And so on until we reach the outcome where the player wins 5 more games, but doesn't win again,  then we have 5 possibilities among 12 games, given that the other player would win the other 7 games. We then have the combination 12C5.

Now, we must also consider all the outcomes where the first winner wins the tournament, that is the first combination we calculated: 12C6

Therefore we obtain the following:

total number of possible outcomes = 7C0+8C1+9C2+10C3+11C4+12C5+12C6

total number of possible outcomes = 2,211

We have now the elements to calculate the probability:

p=\frac{924}{2,211}=0.4179

Hence, the probability that the winner of the first game wins the tournament is 41.79%

7 0
3 years ago
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