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2 years ago

PLZZZZZZZZZ HELP ASAPPPPPPP

Mathematics

1 answer:

Tamiku [17]2 years ago

3 0

Answer:

the answer is 28 if you multiply if not 30

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She bought <br> 314yards of fabric. Her total cost was $13. What was the cost per yard?

Step2247 [10]

Answer:

$24.15 (answer is rounded)

Step-by-step explanation:

314/13= 24.15

I also used a calculator

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2 years ago

What happened that caused Nollie's housemate, Katrien, to arrive at the ten Boom's house in an emotional state?

REY [17]

Answer:

Nollie told the police that Annaliese was a Jew

Step-by-step explanation:

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3 years ago

Read 2 more answers

10 points thanks to those who help

nignag [31]

A) a 45 degree angle

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3 years ago

pretende-se guardar um cano de 42cm de comprimento em uma caixa de ferramentas retangular, cuja as medidas são 36cm de comprimen

galina1969 [7]

Answer:

Step-by-step explanation:

Não porque a caixa seria muito menor que o cano.

3 0

3 years ago

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:

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

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

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

$S_{n}=910.22\ ft$

8 0

2 years ago