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KengaRu [80]
3 years ago
13

A mandolin string's first harmonic is 392 Hz. How long is the string if the wave speed on it is 329 m/s?

Mathematics
1 answer:
Taya2010 [7]3 years ago
6 0
Velocity is given by:
velocity=wavelength×frequency
We note that the wavelength of a wave is twice the length of the string (2w) in the first harmonic.
velocity=329 m/s
wavelength=2w
frequency=392
substituting the values in our equation we get:
329=2w(392)
329=784w
solving for w we get
w=329/784
w= 0.41964~0.42 m
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Answer:

The standard deviation will be: 2.1        

Step-by-step explanation:

We know that standard deviation is basically the square root of variance.

Using the formula to calculate the standard deviation

s=\sqrt{s^2}

As

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so the standard deviation can be calculated as:

standard deviation =\sqrt{s^2}

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Graph the line with slope 1/4 and y-intercept -8
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Solution: Below! ^^

Detailed explanation:

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First, note that the question provides us with the info that the y intercept is -8. This is a very valuable piece of information!

This means that the line crosses the y axis (since it's the y intercept) at the point (0,-8). Plot it on the co-ordinate plane.

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5 0
2 years ago
Read 2 more answers
What is the least positive integer divisible by the numbers 2, 4, and 7?
Viefleur [7K]

Answer:

Least positive integer divisible by the numbers 2, 4, and 7 is  28

Step-by-step explanation:

We can find the least positive integer divisible by the numbers 2, 4, and 7 by taking the LCM

First lets List all prime factors for each number.

Prime Factorization of 2

2 is prime  =>  2^1

Prime Factorization of 4 is:

2 x 2  =>  2^2

Prime Factorization of 7 is:

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For each prime factor, find where it occurs most often as a factor and write it that many times in a new list.

The new superset list is

2, 2, 7

Multiply these factors together to find the LCM.

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7 0
4 years ago
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7 0
2 years ago
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