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:
c^5 *d^5
Step-by-step explanation:
Your missing the diagram. Thus, I will try my best to help
Answer/Step-by-step explanation:
Given;
The diagram below shows how much time Antoine spends doing different activities each day.
How many hours does Antoine sleep in a day?
Solve;
To find how many hours does Antoine sleep in a day;
24 hour × percent of hour sleep = Hours sleep in a day
The sleeping hours = 24h × % = Hour
<u>If you still do not understand please shown the diagram!</u>
<em>~Learn with Lenvy~</em>
Answer: 48 quarters or 12 years
Step-by-step explanation:
You can use the Rule of 72 to estimate the amount of time it will take for an investment to double.
It works by dividing 72 by the interest rate per period.
The rate here is 6% but this is an annual rate yet the interest is to be compounded quarterly. You need to convert this annual rate to a quarterly rate:
= 6% / 4
= 1.5% per quarter
The amount of time it will take to double is:
= 72 / 1.5
= 48 quarters
In years that would be:
= 48 / 4
= 12 years
Answer:
0.00390625
Step-by-step explanation:
For coins :
Number of rolls, trials, n = 4
P(heads) = 0.5
Using binomial probability formula :
P(x =x) : nCr * p^x q ;
P(obtaining exactly 4 heads) = 4C4 * 0.5^4 * 0.5^0 = 1 * 0. 0625 * 1 = 0.0625
P(even number from 4 coin tosses)
Even faces = (2,4,6)
Total faces = (1,2,3,4,5,6)
P(success) = 3/6 = 0.5
P(obtaining exactly 4 even) = 4C4 * 0.5^4 * 0.5^0 = 1 * 0. 0625 * 1 = 0.0625
Hence, obtaining 4 even outcomes and 4 heads = 0.0625 * 0.0625 =0.00390625
