A guitar string has a number of frequencies at which it will naturally vibrate when it is plucked. These natural frequencies are
known as the harmonics of the guitar string and are related to the length of the guitar string in an inverse relationship. For the first harmonic(also known as the fundamental frequency) the relationship can be expressed by the formula below, where f represents the frequency in cycles per second (Hertz) and L represents the length of the guitar string in meters. The quantity v is about 420 m/s.
Determine the fundamental frequency (f) in hertz (first harmonic) of the string if its length is 0.7 meters.
Determine the fundamental frequency (f) in hertz (first harmonic) of the string if its length is 0.7 meters.
1 answer:
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Answer:
The greatest common factor is 8xyz
Step-by-step explanation:
To find the greatest common factor of an expression involving numbers and variables, we find each greatest common factor separately.
Numbers:
48, 24 and 56.
We find the greatest common factor factoring them simultaneously while all can be factored by the same number. The GCF is the multiplication of the factors. So
48 - 24 - 56|2
24 - 12 - 28|2
12 - 6 - 14|2
6 - 3 - 7|
They cant be factored by the same factors anymore, so the numeric GCF is 8.
Variables:
For each variable, the GCF will be the lowest exponent.
Variable x: We have exponents 1, 2 and 2. So the GCF is
Variable y: We have exponents 3, 3 and 1. So the GCF is
Variable z: We have exponents 1, 1 and 1. So the GCF is
The greatest common factor is: