A chord consists of notes that sound good together. The C major chord starting at middle C has the following frequencies: C - 262 Hz E - 330 Hz G - 392 Hz determine the ratio of the frequency of E to C. Express the answer in a simple integer ratio. How many E waves will fit in the length of four C waves. a. 2 b. 3

Answers

Answer 1

Answer:

The frequency of note E is:

f(E) = 330 Hz

The frequency of note C is:

f(C) = 262 Hz

The ratio of the frequency of note E to the frequency of note C is just the quotient of these two frequencies:

r  = f(E)/f(C) = 330Hz/262Hz = 330/262 = 1.26

Now, we want to find how man E waves will fit in the length of four C waves.

Note that here the word "length" is used, so we need to work with the wavelengths, not with the frequencies.

For waves, we have the relationship:

v = f*λ

where:

v = velocity (in this case, velocity of the sound = 343 m/s)

f = frequency

λ = wavelength.

So, the length of a single E wave is:

λ(E) = (343 m/s)/(330 1/s) = 1.04 m

And the length of a single C note is:

λ(C) = (343 m/s)/(262 1/s) = 1.30 m

In four C waves, the length is:

4*λ(C) = 4*1.30m = 5.2m

The number of E waves that fit in the length of four C waves is equal to the quotient between the length of four C waves and one E wave:

N = (4*λ(C))/(λ(E) ) = (5.2 m)/(1.04m) = 5.14

So we can fit 5 E waves into four C waves.

Answer 2

Answer:

The ratio of the frequency of E to C can be found by dividing the frequency of E by the frequency of C:

330 Hz / 262 Hz ≈ 1.26

To express the answer in a simple integer ratio, we can divide both 330 Hz and 262 Hz by their greatest common factor, which is 2:

330 Hz / 2 = 165 Hz

262 Hz / 2 = 131 Hz

So the ratio of the frequency of E to C is:

165 Hz / 131 Hz = 15/12 ≈ 1.25

This ratio is approximately equal to 5/4

Therefore, the answer is (A) 5 to 4


Related Questions

Round 32629 to 1 significant figure

Answers

you need to round to the first that its 3 and after you see the next number if its bigger or smaller, in this case its smaller so its gonna be 30000

last one please help will mark brainest plz helpppp urgent

Answers

-4/9 slope
(0,1) y intercept

VALUE
RATIONAL OR IRRATIONAL?
1.
55
2. V126
5. 0.7

Answers

Answer:

1 rational

2 . irrational

3 irrational

4 rational

5 rational

Which is the graph of f(x) = 2(3)x ?

Answers

Answer:

A

Step-by-step explanation:

the rest are inccorect

f(x)=14-2x
If f(x)=20, find x

Answers

Answer:

x= -3

Step-by-step explanation:

20=14-2x

-14 -14

6 = -2x

÷-2 ÷-2

-3 =x

X=-3

Step-by-step explanation:

14-2x=20

-2x=20-14

-2x=6

x=6÷(-2)

x=-3

Juan had some pieces of gum. He gave 23 pieces to his brother. His sister then gave him 5 more pieces. Now he has 39 pieces of gum. How many pieces of gum did Juan start with.

Answers

Answer:

This equals 11

Step-by-step explanation:

Answer:

57

Step-by-step explanation:

39-5 equals 34 then add 23 that adds up to 57

Round 0.721 to the nearest hundredth.

Answers

Answer:

0.72

Step-by-step explanation:

The second digit to the right of the decimal is the hundredths place.  We look at the thousandths place to determine how to round.  5 or above round up.  Since it is a 1 we leave it alone

.721 rounds to .72

Answer:

0.72

Step-by-step explanation:

First, note that 0.721 has two parts. The integer part to the left of the decimal point and the fractional part to the right of the decimal point:

Integer Part: 0

Fractional Part: 721

To round 0.721 to the nearest hundredth means to round the numbers so you only have two digits in the fractional part.

We use the following rules to round 0.721 to the nearest hundredth:

A) If the last digit in the fractional part of 0.721 is less than 5, then simply remove the last the digit of the fractional part.

B) If the last digit in the fractional part of 0.721 is 5 or more and the second digit in the fractional part is less than 9, then add 1 to the second digit of the fractional part and remove the third digit.

C) If the last digit in the fractional part of 0.721 is 5 or more and the second digit in the fractional part is 9, and the first digit in the fractional part is less than 9, then add 1 to the first digit in fractional part and make the second digit in fractional part 0. Then remove the third digit.

D) If the last digit in the fractional part of 0.721 is 5 or more and the second digit in the fractional part is 9, and the first digit in the fractional part is 9, then add 1 to the integer part and make the fractional part.

With 0.721, rule A applies and 0.721 rounded to the nearest hundredth is: 0.72.  Hope it helps! :)

why should maths be compulsory​

Answers

Answer:

It's compulsory because just like math it forms the basis of all other subjects. Making the study of those other subjects than if they were equipped with language skills in the language of instruction. Math/s is the universal language relevant in teaching/learning of all fields including art.

Step-by-step explanation:

The price of a new car is $42,500 if the sales tax rate is 6% then how much sales tax is being charged?

Answers

Answer:$48230 that will be your answer

Step-by-step explanation:$42,500+65=$48230

Answer:

2550

Step-by-step explanation:

6% x 42500

[tex]\frac{6}{100}[/tex]x[tex]\frac{42500}{1}[/tex]=[tex]\frac{255000}{100}[/tex]=[tex]\frac{2550}{1}[/tex]=2550

2550 turns into 25.50

42500+ 25.50= 42525.50

Please mark brainliest

Please answer this math question for me

Answers

60 degrees
Right angles add up to 90 so 90-30=60

Answer:

A = 60°

Step-by-step explanation:

The total angle is 90°

So, subtract. 90 - 30 = 60°

Have a great day! :)

2) Which of the following tables represents an exponential function?

Please help !!

Answers

Answer:

Step-by-step explanation:

im guessing B

PLEASE HELP!!! which expression is equivalent to (3√x^2)^6

Answers

Answer:

x⁴

Step-by-step explanation:

TRUST ME IT IS CORRECT

Answer:

x⁴

Step-by-step explanation:

(∛x²)⁶ {The cube root of x² is x^(2/3)}

(x^(2/3))⁶ {Now, simply multiply 2/3 by 6 to get 4.}

x⁴

(∛x²)⁶ is equivalent to x⁴.

help you if you think ramen is good ;)

Answers

Answer:

The answer is 61.71

Step-by-step explanation:

give me brainliest if you thin my answers good plssss

Answer:

61.71

Step-by-step explanation:

I NEED ANSWER ASAP LOTS OF POINTS

Anita plays two songs at her piano recital. All together, she plays 732 notes. She plays n notes in the first song How many notes does Anita play in the second song of her recital? A n + 732 B 732 +n 732n 732​

Answers

answer : 732-n
732= total n=partial
n+x=732
732-n=x

Find the difference. 8.6 - 0.047

Answers

Answer:

8.553

Step-by-step explanation:

hope this helped

Answer:

Step-by-step explanation:

Minuend is the number that is to be subtracted from (8.6). Subtrahend is the number that is to be subtracted (0.047).

PLEASE HELP ITS A TIMED TEST!!!
A health club charges a $25 one-time sign-up fee and a monthly membership fee of $44 per month. Find the rate of change.

Answers

Answer:

First you need to set up an equation y = mx + b. m would be the monthly charge and b would be the one time fee. x represents the number of months.

To solve for the number of months with a total price of 240 we substitute 240 in for y and solve for x.

240 = 25x + 40

subtract 40 from each side

200= 25x

divide by 25

8 = x

8 months

10 + 7r = 45

7r = 35

r = 5

5 milesStep-by-step explanation:

The rate of change is 5.

What is rate of change?

The rate of change of anything is how rapidly it changes over time (ROC).

You must first create the equation

y = mx + b,

where m represents the monthly price and b represents the one-time cost. Months are represented by the number x.

We replace 240 for y and solve for x to find the total number of months at a price of 240.

40 is subtracted from either side of 240 = 25x + 40.

200 = 25x

25 divided

8 months equals 8.

10 + 7r = 45

7r = 35

r = 5

Therefore, 5 is the rate of change.

To learn more about the rate of change;

https://brainly.com/question/29518179

#SPJ2

(WILL GIVE BRAINLIEST)​

Answers

Answer:

i am pretty sure the answer is a. 6

Step-by-step explanation:

let me know if this is incorrect

Answer:

A. 6

Step-by-step explanation:

The length the height of a rectangular prism are 12 feet and 9 feet respectively. Determine the width of the rectangular prism whose surface area is 258 square feet

Answers

Answer:

Width = x feet = 1 feet

Step-by-step explanation:

Surface area of a rectangular prism = 2(lw +lh + wh)

Length = 12 feet

Width = x feet

Height = 9 feet

Surface area = 258 square feet

Surface area of a rectangular prism = 2(lw +lh + wh)

258 = 2{(12*x) + (12*9) + (x*9)}

258 = 2(12x + 108 + 9x)

258 = 24x + 216 + 18x

258 - 216 = 24x + 18x

42 = 42x

x = 42/42

x = 1 feet

Width = x feet = 1 feet

PLEASE HELP ME IM BEGGINGG

Flora and Gabe will randomly select from a bag of candy containing 6 grape,
8 cherry, and 6 lime Jolly Ranchers. Which of the following has the greatest
probability of occurring?

Answers

Answer:

Step-by-step explanation:

Flora picks a cherry then replaces it then picks another cherry, there are 8 cherries so if you take away one you still have 7 and 7 > 6.

Use the following function rule to find f(-62). help plz!!

Answers

Answer: 8

Step-by-step explanation: plug in -62 as equal to x

Helppppp pls again bro for Brainlyiest be sure to provide proof or nun

Answers

11 i'm pretty sure!!!!!!!!

Answer: 11

Step-by-step explanation:

Trudy's father has a large collection of ties. He has 18 ties, and 2 of them are striped.
If Trudy's father chose a tie at random, what is the probability that the tie would be striped?

Answers

Answer:

1/9

Step-by-step explanation:

p = 2/18

p = 1/9

A number c is less than -3

Answers

no because the three is negative so the -3 is less than c.

Hope this helps.

Mhanifa or anyone please answer!! Find x

Answers

Answer:

[tex]x=2.05[/tex]

Step-by-step explanation:

To solve this problem, use the trigonometric ratios. The trigonometric ratios for a right triangle (a triangle with a right angle are the following).

[tex]sin(\theta)=\frac{opposite}{hypotenuse}\\\\cos(\theta)=\frac{adjacent}{hypotenuse}\\\\tan(\theta)=\frac{opposite}{adjacent}[/tex]

In this case, one is given the hypotenuse (the side opposite the right angle) and one is asked to find the side adjacent to the given angle. Therefore, it would make the most sense to use the trigonometric ratio of cosine ([tex]cos[/tex]).

[tex]cos(\theta)=\frac{adjacent}{hypotenuse}[/tex]

Substitute,

[tex]cos(47)=\frac{x}{3}[/tex]

Inverse operations,

[tex]3(cos(47))=x[/tex]

Simplify,

[tex]x=2.05[/tex]

Answer:

[tex]x=2.0459[/tex]

Step-by-step explanation:

[tex]Cos 47=\frac{x}{3}[/tex][tex]x=3*Cos47[/tex][tex]2.0459[/tex]

»»————- ♔ ————-««

hope it helps...

have a great day!!

Which numbers are equal to 24 8 divided by 1/3 6 divided by 1/8 9 divided by 1/4 4 divided by 1/6 12 divided by 1/2

Answers

Answer:

8 ÷ 1/3 and 12 ÷ 1/2

Step-by-step explanation:

According to the scenario, computation of the given data are as follows,

We solve all statements one by one,

Then the solutions are as follows

1. 8 ÷ 1/3

= (8 × 3) ÷ 1

= 24

2. 6 ÷ 1/8

= (6 × 8) ÷ 1

= 48

3. 9 ÷ 1/4

= (9 × 4) ÷ 1

= 36

4. 12 ÷ 1/2

= (12 × 2) ÷ 1

= 24

Hence, 8 ÷ 1/3 and 12 ÷ 1/2 is equals to 24.

Find the mean:
7, 7, 15, 17, 4, 20
I forgot how to solve this can someone help

Answers

Answer:

11.67 or 11.66

Step-by-step explanation:

Add the numbers together then divide by the total number of numbers if that makes sense.

Answer:

11.67 = mean

Step-by-step explanation:

Mean is basically the average of the given data set, to find the mean:

=> First add all the numbers in the data set given together.

7 + 7 + 15 + 17 + 4 + 20

= 70

=> Since there are 6 different numbers in the given data set, divide 70 by 6

70/6

= 11.67 rounded to the nearest hundredths

Hope this helps!

Based on equation of the line of best fit how much money should Millie expect to earn if he works a five hour shift?

Answers

Answer:

See Explanation

Step-by-step explanation:

Given

[tex]x = 5[/tex] ---- 5-hour shift

Required

The expected earnings

The question is incomplete, as the equation is not given. A general way to solve this, is to substitute the value of x in the equation, then solve for the y variable.

Take for instance, the equation is:

[tex]y = 10x + 2[/tex]

The expected earnings will be:

[tex]y = 10*5 + 2[/tex]

[tex]y = 50 + 2[/tex]

[tex]y = 52[/tex]

Expected Earnings = $52

7xy + 8z - 2z + 12xy + 10z

Answers

Answer:

19xy + 16z

Step-by-step explanation:

combine like terms

7xy +1 2xy= 19xy

8z - 2z + 10z = 16z

A teacher needs 6 craft sticks for each student in a class for a project.
Which numerical expression shows the total craft sticks needed if there are 36 students?

A. 6 × 36
B. 6 ÷ 36
C. 36 + 6
D. 6 – 36

Answers

Answer:

A. 6 x 36

Step-by-step explanation:

the answer is A. 6 x 36

A six sided dice is rolled twice.
What is the probability that the first roll is an even number and the second roll is a number greater than 4?

Answers

Answer: 1/6 chance

Step-by-step explanation:

FIRST ROLL:

even numbers are 2, 4, and 6

3/6 or 1/2 chance of rolling even (50%)

SECOND ROLL:

numbers greater than 4 are 5 and 6

2/6 or 1/3 chance of rolling a number greater than 4 (33 1/3%)

MATH:

1/3*1/2 = 1/6 or about 16-17%

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