The frequency (f) of the note produced by striking a pipe of length (L) and radius (r) is given by f = 2r + c over 2L where c is the speed of sound, which is mately 13,500 in./sec. The following table shows some frequencies and related pipe lengths for PVC pipe with a radius of 1 in. What length pipe should be used in order to create the lowest note on an 88-key piano (an A), which has a frequency of 27.5 hertz?​

The Frequency (f) Of The Note Produced By Striking A Pipe Of Length (L) And Radius (r) Is Given By F

Answers

Answer 1

Now the aim of the above discussion is to internalize the mathematical relationships for open-end air columns in order to perform calculations predicting the length of air column required to produce a given natural frequency. And conversely, calculations can be performed to predict the natural frequencies produced by a known length of air column. Each of these calculations requires knowledge of the speed of a wave in air (which is approximately 340 m/s at room temperatures). The graphic below depicts the relationships between the key variables in such calculations. These relationships will be used to assist in the solution to problems involving standing waves in musical instruments.


Related Questions

What is the coefficient of 9(14) P ?

Answers

Answer:

the answer of this question is

the coffiecent is p

the coefficient is P

State the domain and range and determine if its a function

Answers

Answer:

The first element of a set which is linked with the element of second set is called domain.

The element of second set is known as range.

Answer:

When functions are first introduced, you will probably have some simplistic "functions" and relations to deal with, usually being just sets of points. These won't be terribly useful or interesting functions and relations, but your text wants you to get the idea of what the domain and range of a function are. Small sets of points are generally the simplest sorts of relations, so your book starts with those.

for example

State the domain and range of the following relation. Is the relation a function? {(2, –3), (4, 6), (3, –1), (6, 6), (2, 3)}

The above list of points, being a relationship between certain x's and certain y's, is a relation. The domain is all the x-values, and the range is all the y-values. To give the domain and the range, I just list the values without duplication:

domain: {2, 3, 4, 6}

range: {–3, –1, 3, 6}

(It is customary to list these values in numerical order, but it is not required. Sets are called "unordered lists", so you can list the numbers in any order you feel like. Just don't duplicate: technically, repetitions are okay in sets, but most instructors would count off for this.)

While the given set does indeed represent a relation (because x's and y's are being related to each other), the set they gave me contains two points with the same x-value: (2, –3) and (2, 3). Since x = 2 gives me two possible destinations (that is, two possible y-values), then this relation is not a function.

find the measure of angle E

Answers

Answer:

E = 76°

Step-by-step explanation:

Exterior angle B = 116°

So ABC = 180° - 116°

= 64°

In triangle ABC , AC = BC ( given )

So angle BAC = angle ABC = 64° ( Opposite angle of two same sides of a triangle are equal )

According to Angle Sum Property of a Triangle ,

BAC + ABC + ACB = 180°

=> ACB + 64° + 64° = 180°

=> ACB = 180° - 128°

= 52°

Also , angle ACB = angle ECD = 52° ( Vertical Opposite Angles are equal )

In triangle ECD ,

EC = ED ( given )

So, angle ECD = angle EDC = 52° ( Opposite angle of two same sides of a triangle are equal )

According to Angle Sum Property of a Triangle ,

ECD + EDC + CED = 180°

=> 52° + 52° + CED = 180°

=> CED = 180° - 104°

= 76°

There are 75 students in a speech contest. Yesterday, 2/5 of them gave their speeches. Today, 1/3
of the remaining students gave their speeches. How many students still haven't given their speeches?

Answers

Answer: 30

Work Shown:

2/5 of 75 = (2/5)*75 = 0.4*75 = 30

Yesterday 30 people gave speeches. There are 75-30 = 45 people left.

1/3 of 45 = (1/3)*45 = 15

Then another 15 people gave speeches today. So there are 45-15 = 30 people who haven't given their speeches yet.

Hi what’s 2+2? Anyone would like to help..?

Answers

two plus two is four!
you count your fingers

Answer:

2+2 = 4

Step-by-step explanation:

you see..... •• (2) + ••(2) = •••• (4) << you just need to count them

what is 4/y+2=10/5y?

Answers

y^1=-1,y^2=2 ^=square root

Find the equation of the line using the point-slope formula. Write the final equation using slope- intercept form. 6 (1,2) with a slope of - 7 Enter the exact answer.​

Answers

Answer:

y = -7x + 9

Step-by-step explanation:

Point-slope form:

y - 2 = -7 (x -1)

y - 2 = -7x + 7

y - 2 + 2 = -7x + 7 +2

y = -7x + 9

I really need help with this question

Answers

Answer: my sis helped me a little so i think its right try 1,500

Step-by-step explanation:

if she gets paid 849000 a year then i would divide 849000 by 12 cause theres that meany months in a year then with that number subtract the Christmas plus witch is 5500 and thats the answer i think

Suppose you've just deposited $ 2,004 in a bank account which earns an annual rate of return of 12%. How much will you have in the bank account after 5 years

Answers

Answer:

you will get back 167$

Step-by-step explanation:

one solution to a quadratic function is -4+7i, what is the other solution?

Answers

Answer:

-4 - 7i

Step-by-step explanation:

If a quadratic equation with real coefficients has a complex number as a solution, then the complex conjugate of that number is also a solution.

Assuming the coefficients of the quadratic function are real, then the other solution is

-4 - 7i

Help ASAP please please

Answers

5/6

Write all numerators above common denominators

3x3/10x3+8x2/15x2

9/30+16/30

9+16/30

25/30

Simplify to get 5/6

Brainliest?

Answer:

5/6

Step-by-step explanation

On Thursday, a local hamburger shop sold a combined total of 580 hamburgers and cheeseburgers. The number of cheeseburgers sold was three times the number of hamburgers sold. How many hamburgers were sold on Thursday?

Answers

Answer:

Hey there!

Let h be the number of hamburgers sold.

Let c be the number of cheeseburgers sold.

h+c=580

c=3h

4h=580

h=145

145 hamburgers were sold.

Let me know if this helps :)

Identify the function's local and absolute extreme values, if any, saying where they occur. f(x) = x^3 + 4x^2 - 3x - 4 A) local maximum at x = -1/3; local minimum at x = 3 B) local maximum at x = -1; local minimum at x = 1 C) local maximum at x = -3; local minimum at x 1/3 D) local maximum at x = -1; local minimum at x = 1

Answers

Answer: C) local maximum at x = -3; local minimum at x = 1/3

Step-by-step explanation:

Given the function:

f(x) = x^3 + 4x^2 - 3x - 4

Set f'(x) = 0

f'(x) = 3x² + 8x - 3

f'(x) = 0

3x² + 8x - 3 = 0

Using the quadratic function calculator :

x = - 3 or x = 1/3

Critical points = - 3 ; 1/3

To find the maximum and minimum points :

f''(x) = 6x + 8

Substitute the values of X in

At x = - 3

6(-3) + 8

-18 + 8 = - 10

At x = 1/3

6(1/3) + 8

2 + 8 = 10

Value of f''(x) at - 3 is negative, hence - 3 is the maximum point

Value of f''(x) at 1/3 is positive , hence 1/3 is the minimum point

tentukan nilai daerah yang diarsir dalam pecahan?​

Answers

yeah it would be for sure

How many places do you need to move the decimal to the left to write the number below in the scientific notation?

Answers

Answer:

10

Step-by-step explanation:

in scientific notation a number cant be greater than 10. so you have to move the decimal to make it under 10.

f(x) = 2x – 1 What is f(13)?

Answers

Answer:

f(13) = 25

Step-by-step explanation:

f(x) = 2x – 1

To find f(13) substitute the value of x that's 13 into f(x). That is for every x in f (x) replace it with 13

We have

f(13) = 2(13) - 1

= 26 - 1

We have the final answer as

f(13) = 25

Hope this helps you

Which numbers is a factor of 100? 8 12 15 20

Answers

Answer:

20

Step-by-step explanation:

[tex]100 = 20 \times 5[/tex]

20 is a factor of 100. 20*5=100

Simplify −0.6(−6.3). −3.78 −3.63 3.63 3.78

Answers

Answer:

3.78

Step-by-step explanation:

a negative multiplied by a negative is a positive. 0.6 multiplied by 6.3 equals 3.78

Answer:

3.78

Step-by-step explanation:

What is the value of the expression below after it has been simplified completely? (2)(3)-(6)(4) A. –24 B. –18 C. 18 D. 24

Answers

Answer:

B

Step-by-step explanation:

2x3=6 and 6x4=24 so 6-24= -18

Answer:

B

Step-by-step explanation:

-18

100 POINTS!!! ASAP-- Pls show work too TY

Answers

Answer:

I will help you but is there any picture that can help me answer the question?

Answer:

[tex]\sin(\theta)=\frac{\sqrt{13}}{7}\approx0.5151[/tex]

Step-by-step explanation:

So we know that Θ is acute and that:

[tex]\cos(\theta)=6/7[/tex]

First, note that since Θ is acute, it is between 0 and 90 degrees, meaning that all of our trig ratios will be positive since the angle is in the Quadrant I.

The Pythagorean Identity is:

[tex]\sin^2(\theta)+\cos^2(\theta)=1[/tex]

We know that cosine is 6/7. Substitute:

[tex]\sin^2(\theta)+(\frac{6}{7})^2=1[/tex]

Square:

[tex]\sin^2(\theta)+\frac{36}{49}=1[/tex]

Subtract both sides by 36/49. Change the 1 to 49/49 to make a common denominator:

[tex]\sin^2(\theta)=\frac{49}{49}-\frac{36}{49}[/tex]

Subtract:

[tex]\sin^2(\theta)=\frac{13}{49}[/tex]

Take the square root of both sides:

[tex]\sin(\theta)=\pm\sqrt{\frac{13}{49}}[/tex]

Simplify:

[tex]\sin(\theta)=\pm\frac{\sqrt{13}}{7}[/tex]

As mentioned previously, since Θ is acute, all of the trig functions must be positive. So, we can ignore our negative answer:

[tex]\sin(\theta)=\frac{\sqrt{13}}{7}\approx0.5151[/tex]

and we're done!

Can someone help me simplify 16 > x +9

Answers

Answer:

7 > x

Step-by-step explanation:

16 > x + 9

you subtract 9 from both sides to get your variable by yourself and you keep the same sign

7 > x

The sum of the ages of Jacob and Jasmine is 66 years. 6 years ago, Jacob's age was 2 times Jasmine's age. How old is Jacob now?

Answers

27, first you take 66-12 bc that is both of their ages, and then I divided that by 2 since it’s twice jasmines age. Hope this helps and would appreciate a Brainly :)

Answer:

Jacob's age is 42

Jasmine's age is 24

Step-by-step explanation:

Let Jacob's age be x

Let Jasmine's age be y

x + y = 66

x - 6 = 2(y - 6)

x - 6 = 2y - 12

x - 2y = -12 + 6

x - 2y = -6

x + y = 66 ------- (1)

x - 2y = -6 ------- (2)

From (1),

x = 66 - y -------- (3)

Substitute the value of x in (2)

x - 2y = -6

66 - y - 2y = -6

-3y = -6 - 66

-3y = -72

y = -72/-3

y = 24

Solve for x in (1)

x + y = 66

x + 24 = 66

x = 66 - 24 = 42

x = 42, y = 24

Between what two integers does the square root of 14 lie?

Answers

the answer is 3 and 4 , hope this helps.

Answer:

3 and 4

Step-by-step explanation:

Brighton Company launched a new gaming console. They sold 200 consoles prior to the launch.
The number of consoles sold each day after the launch is shown by the graph below.

Answers

Answer: in the domain of this situation, there is no asymptote.

Step-by-step explanation:

Asymptote would be on the left where x is negative but this function only shows all positive values of X

The value of k is -0.25. The graph shows that the actual number of consoles sold is slightly higher than the predicted number of consoles sold.

The graph shows that the number of consoles sold each day after the launch of the Brighton Company gaming console follows an exponential decay pattern. This means that the number of consoles sold each day is decreasing at a rate that is proportional to the number of consoles that have already been sold.

The equation that can be used to model this exponential decay pattern is:

N = A * [tex]e^{-kt[/tex]

where:

N is the number of consoles sold on day t

A is the initial number of consoles sold (200 consoles)

k is a constant that determines the rate of decay

e is the base of the natural logarithm

We can use the data from the graph to estimate the value of k. The first day after the launch, 180 consoles were sold. This means that on day 1, N = 180. The initial number of consoles sold, A, is known to be 200 consoles. Therefore, we can write the following equation:

180 = 200 * [tex]e^{-kt[/tex]

Solving for k, we get:

k = -ln(1.8) / 1

≈ -0.25

The value of k is approximately -0.25. This means that the number of consoles sold each day is decreasing at a rate of 25%.

We can use the equation to predict the number of consoles sold on future days. For example, on day 2, we would predict that 150 consoles would be sold. On day 3, we would predict that 120 consoles would be sold.

The graph shows that the actual number of consoles sold is slightly higher than the predicted number of consoles sold. This is because the exponential decay pattern is not perfect. There are other factors that can affect the number of consoles sold, such as the availability of the console and the price of the console.

To learn more about graph here:

https://brainly.com/question/17267403

#SPJ2

If BC = 5x − 15, CD = 4x, and BD = 8x + 4, what is BD? Simplify your answer and write it as a proper fraction, mixed number, or integer. Could you please type it in a step by step.

Answers

Answer:

156

Step-by-step explanation:

CD+BC=BD

[tex](5x - 15) + 4x = 9x - 15 = 8x + 4 \\ x = 19 \\ bd = 8x + 4 = (8 \times 19) + 4 = 156[/tex]

sin3A/sinA-Cos3A/CosA=2​

Answers

Answer:

sin3A/sinA-Cos3A/CosA=2​

taking LCM

= Sin3A.CosA - Cos3A. SinA

     SinA . CosA

= Sin(3A-A)

  SinA . CosA

=  Sin2A          

   SinA . CosA

= 2 SinA. CosA

    SinA . CosA

=2

Step-by-step explanation:

Kendra earns $11.60 per hour working at the movie theater. Each week, she donates
1/10
of her earnings to Best Friends Animal Society, her favorite charity. If Kendra worked
8 1/2
hours last week, how much money did she donate to the charity?

Answers

Answer: $9.86

Step-by-step explanation:

$11.60 ⋅ 8.5 = $98.60

$98.60 / 10 = $9.86

How many x-intercepts can an absolute value graph have?

Answers

Answer:

Zero, One, Two

Step-by-step explanation:

It can never touch the x-axis

when it's like

[tex]y=a|x-b|+c[/tex]

with

[tex]c>0[/tex]

it will be upward

it can touch only once when it's like

[tex]y=a|x-b|[/tex]

it will touch it in  [tex](b,0)[/tex]

It can touch twice when it's like

[tex]y=a|x-b|-c[/tex]

with

[tex]c>0[/tex]

the equations are just an example, there can be other ways too

have three or more it's impossible, because the absolute value graph is the union of two lines, and each line at most can touch the x-axis once

I didn’t post the question I’m sorry but helppp :cc

Answers

I don’t see the question

the sum of 12 and the quantity 8 times a number k is equal to 48

Answers

Answer:

12 + (8k) = 48

k= 9/2

Step-by-step explanation:

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