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klasskru [66]
4 years ago
7

Which of the following choices is a good estimate for the slope of the Line of Best Fit in the scatter plot?

Mathematics
1 answer:
svetoff [14.1K]4 years ago
5 0

Answer:

A good estimate for the slope is 95/60

Step-by-step explanation:

The formula to calculate the slope between two points is equal to

m=\frac{y2-y1}{x2-x1}

From the graph take the points

(0,0) and (80,125)

substitute

m=\frac{125-0}{80-0}

m=\frac{125}{80}

simplify

m=\frac{25}{16}

Multiply by 3.75 both numerator and denominator

m=\frac{25*3.75}{16*3.75}

m=\frac{93.75}{60}

m=\frac{94}{60}

therefore

A good estimate for the slope is 95/60

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(a) What resonant frequency would you expect from blowing across the top of an empty soda bottle that is 24 cm deep, if you assu
Kryger [21]

Answer:

a) 357.29 Hz

b) 535.9375 Hz

Step-by-step explanation:

v = Velocity of sound in air = 343 m/s

l = length = 24 cm

a)

l=\frac{1}{4}\lambda \\\Rightarrow \lambda=4l

f=\frac{v}{\lambda}\\\Rightarrow f=\frac{v}{4l}\\\Rightarrow f=\frac{343}{4\times 0.24}\\\Rightarrow f=357.29\ Hz

∴ Resonant frequency is 357.29 Hz

b) Here one third is filled with soda

So, length becomes l=24-\frac{24}{3}=16\ cm

f=\frac{v}{4l}\\\Rightarrow f=\frac{343}{4\times 0.16}\\\Rightarrow f=535.9375\ Hz

∴ Resonant frequency is 535.9375 Hz

6 0
4 years ago
What is 490.63 divided by pi?
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Answer:

156.172379458

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7 0
3 years ago
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A TV has a listed price of $841.99 before tax. If the sales tax rate is 9.5%, find the total cost of the TV with sales tax inclu
Viefleur [7K]

Answer:

9.5  \div 100  \times 841.99 = 79.99 \\  \\ 841.99 + 79.99  \\   921.98

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2 years ago
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Solve the following subtraction problems 17t 13lb 3oz - 9t 20lb 9oz
Masja [62]

For <u> the following subtraction problems 17t 13lb 3oz - 9t 20lb 9oz the output is  oz = 7 T 1992 lb 12 oz</u>

Step-by-step explanation:

Let us first consider that

<u>1 T = 2,000 lb</u>

<u>1 lb = 16 oz</u>

Here we will convert all the measure units to oz, subtracted the amounts, and finally converted the units back to their original ones.

<u>17t 13lb 3oz - 9t 20lb 9oz (The equation given to us)</u>

<u>It can be rewritten as </u>

=17 T or (2,000 lb*17) + 13 lb + 3 oz) - (9 T or (2,000 lb*9) + 20 lb + 9 oz)

= (34,013 lb or (16 oz *34,013) + 3 oz) - (18,020 lb or (16 oz *18,020) + 9 oz)

= 544,213  oz - 288,329  oz = 255,884  

<u>oz = 7 T 1992 lb 12 oz</u>

7 0
4 years ago
Lin is reading a 47- page book. She read the first 20 pages in 35 minutes.
Zinaida [17]

Answer:

No, it will take Lin 82.25 min to finish her book

40 pages take 70 min which is over an hour so she can finish in a hour. She needs an additional 22.25 mins

Step-by-step explanation:

3 0
3 years ago
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