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I am Lyosha [343]

3 years ago

9

A watch costs $30. The equation y=30x describes the cost y of x number of watches. Identify the graph of this

1 answer:

kupik [55]3 years ago

8 0

Answer:

Step-by-step explanation:

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Can you help me with this thank you

Sveta_85 [38]

The correct answer is points

8 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

3 years ago

Select the simplified form of this expression 14[8+5(x-10)] A.70x+(-28) B.182x-140 C.70x+(-588) D.5x+62 E. 70x+(-42)

Marat540 [252]

Answer: C. 70x+(-588)

4 0

4 years ago

On a normally distributed anxiety test with mean 48 and standard deviation 4, approximately what anxiety test score would put so

lbvjy [14]

Answer:

54.56

Step-by-step explanation:

Given:

Mean, u = 48

Standard deviation, $\sigma$ = 4

Test score = 5%

Required:

Find the raw score, X.

Having a test score of 5% means the Zscore has to correspond to 95%, ie, 1 - 0.05 = 0.95.

Thus, $Z_0_._9_5 = 1.64$

To get X, use the formula:

$mu + z * \sigma$

= 48 + (4 * 1.64)

= 48 + 6.56

= 54.56

The anxiety test score that would put someone in the top 5% is 54.56

5 0

3 years ago

four houses each have four floors. On each floor are four apartments, with four doors in each apartment. On each door are four h

alexgriva [62]

256 hinges. 4 x 4 = 16. 16 x 4 = 64. 64 x 4 = 256

7 0

4 years ago