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vampirchik [111]

3 years ago

11

She breaks apart 12 into 10+2 then she writes 5×(10+2) as 5× 10)

1 answer:

alekssr [168]3 years ago

7 0

60 hope this helps you out

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Please help! I have no clue what im doing

prohojiy [21]

Answer:

y = -2x + 1

Step-by-step explanation:

So, first you can use rise over run between the two points to find the slope.

This will get you -6/3, which you can simplify to -2

Then, see where the y intercept is, which is at (0, 1)

The equation will be y = -2x + 1

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3 years ago

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Match each problem (term) with its sum or difference (definition)

dimulka [17.4K]

C
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that's the answers, from top to bottom. hope this helps!

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3 years ago

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4. a) A ping pong ball has a 75% rebound ratio. When you drop it from a height of k feet, it bounces and bounces endlessly. If t

Klio2033 [76]

First part of question:

Find the general term that represents the situation in terms of k.

The general term for geometric series is:

$a_{n}=a_{1}r^{n-1}$

$a_{1}$ = the first term of the series

$r$ = the geometric ratio

$a_{1}$ would represent the height at which the ball is first dropped. Therefore:

$a_{1} = k$

We also know that the ball has a rebound ratio of 75%, meaning that the ball only bounces 75% of its original height every time it bounces. This appears to be our geometric ratio. Therefore:

$r=\frac{3}{4}$

Our general term would be:

$a_{n}=a_{1}r^{n-1}$

$a_{n}=k(\frac{3}{4}) ^{n-1}$

Second part of question:

If the ball dropped from a height of 235ft, determine the highest height achieved by the ball after six bounces.

$k$ represents the initial height:

$k = 235\ ft$

$n$ represents the number of times the ball bounces:

$n = 6$

Plugging this back into our general term of the geometric series:

$a_{n}=k(\frac{3}{4}) ^{n-1}$

$a_{n}=235(\frac{3}{4}) ^{6-1}$

$a_{n}=235(\frac{3}{4}) ^{5}$

$a_{n}=55.8\ ft$

$a_{n}$ represents the highest height of the ball after 6 bounces.

Third part of question:

If the ball dropped from a height of 235ft, find the total distance traveled by the ball when it strikes the ground for the 12th time. 

This would be easier to solve if we have a general term for the <em>sum </em>of a geometric series, which is:

$S_{n}=\frac{a_{1}(1-r^{n})}{1-r}$

We already know these variables:

$a_{1}= k = 235\ ft$

$r=\frac{3}{4}$

$n = 12$

Therefore:

$S_{n}=\frac{(235)(1-\frac{3}{4} ^{12})}{1-\frac{3}{4} }$

$S_{n}=\frac{(235)(1-\frac{3}{4} ^{12})}{\frac{1}{4} }$

$S_{n}=(4)(235)(1-\frac{3}{4} ^{12})$

$S_{n}=910.22\ ft$

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3 years ago

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Ierofanga [76]

Answer:

First one

Step-by-step explanation:

None of the equations are identities

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Write the equation of a line that is parallel to y=6x+1 and that passes through (-7, 1)

Orlov [11]

Answer: y = 4x + 43

Step-by-step explanation: In the photo

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