Answer:
The speed of a wave depends on the characteristics of the medium. For example, in the case of a guitar, the strings vibrate to produce the sound. The speed of the waves on the strings, and the wavelength, determine the frequency of the sound produced. The strings on a guitar have different thickness but may be made of similar material. They have different linear densities, where the linear density is defined as the mass per length,
μ
=
mass of string
length of string
=
m
l
.
In this chapter, we consider only string with a constant linear density. If the linear density is constant, then the mass
(
Δ
m
)
of a small length of string
(
Δ
x
)
is
Δ
m
=
μ
Δ
x
.
For example, if the string has a length of 2.00 m and a mass of 0.06 kg, then the linear density is
μ
=
0.06
kg
2.00
m
=
0.03
kg
m
.
If a 1.00-mm section is cut from the string, the mass of the 1.00-mm length is
Δ
m
=
μ
Δ
x
=
(
0.03
kg
m
)
0.001
m
=
3.00
×
10
−
5
kg
.
The guitar also has a method to change the tension of the strings. The tension of the strings is adjusted by turning spindles, called the tuning pegs, around which the strings are wrapped. For the guitar, the linear density of the string and the tension in the string determine the speed of the waves in the string and the frequency of the sound produced is proportional to the wave speed.
Answer:The missing number is 27
Step-by-step explanation:It is a matter of spotting the relationship if you can. If not obvious you will need to experiment to find what type of sequence it is; geometric or arithmetic.
Observe that there is a connection of 3 in the numbers 1,3,9 in that
1
×
3
=
3
Lets experiment with that for a moment!
If we apply the same rule to 3 what will we get?
3
×
3
=
9
which is correct.
Ok. lets apply the same rule yet again!
9
×
3
=
27
Using 27, if we apply the rule once more and get 81 we have found the correct 'rule' for this sequence.
27
×
3
=
81
'~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
This works so the missing number is 27
Given:
The system of equation is


To find:
The solution of given system of equations.
Solution:
The slope intercept form of a line is

Where, m is slope and b is y-intercept.
Write the given equation in slope intercept form.
The first equation is


...(i)
Here, slope is
and y-intercept is 4.
The second equation is
...(i)
Here, slope is
and y-intercept is -4.
Since the slopes of both lines are same but the y-intercepts are different, therefore the given equations represent parallel lines.
Parallel lines never intersect each other. So, the given system of equation has no solution.
Hence, the correct option is B.
Answer:
144
Step-by-step explanation:144
Equation 1 would be: 3a+2C
Equation 2 would be: 5a+3C