Answer:
A Pipe that is 120 cm long resonates to produce sound of wavelengths 480 cm, 160 cm and 96 cm but does not resonate at any wavelengths longer than these. This pipe is:
A. closed at both ends
B. open at one end and closed at one end
C. open at both ends.
D. we cannot tell because we do not know the frequency of the sound.
The right choice is:
B. open at one end and closed at one end
.
Step-by-step explanation:
Given:
Length of the pipe, 
= 120 cm
Its wavelength 
= 480 cm
= 160 cm and 
= 96 cm
We have to find whether the pipe is open,closed or open-closed or none.
Note:
- The fundamental wavelength of a pipe which is open at both ends is 2L.
- The fundamental wavelength of a pipe which is closed at one end and open at another end is 4L.
So,
The fundamental wavelength:
⇒ 
It seems that the pipe is open at one end and closed at one end.
Now lets check with the subsequent wavelengths.
For one side open and one side closed pipe:
An odd-integer number of quarter wavelength have to fit into the tube of length L.
⇒ 
⇒ 
⇒ 
⇒ 
⇒ 
⇒ 
⇒ 
⇒ 
So the pipe is open at one end and closed at one end
.
Answer:
(5,4) and (3,4)
Step-by-step explanation:
A line segment has 2 end points which can be denoted as:
and 
When this line segment intersects at y.
This means that the coordinate on the y axis is the same at both end points
i.e.
and becomes 
and 
x1 and x2 can be any value but the y value must remain unchanged
Using the above analysis, a possible coordinate is:
and 
Note that there are as many answers as possible as long as the coordinate pair satisfy is of the form <em> and </em><em />
Take for instance, another possible pair is:
and 
Answer:
A function is a relation that maps inputs from a set called the domain, into outputs from a set called the range.
Such that each input can be mapped into only one output.
So for example, if we have a relation that maps the input 2 into two different values:
f(2) = 4
f(2) = 8
Then this is not a function.
In the case of the problem, we have a student as the input, and the hair color as the output.
So we will have something like:
f(student) = blond
And if this student decides to change his/her hair color to red?
Then the function becomes:
f(student) = red
So for the same input, we had two different outputs, which means that this is not a function.
We also could have the case where a given student has two colors (Californian for example)
Where again, we would see two different outputs for one single input.
Answer:
56.25 pi cm^2
Step-by-step explanation:
To find the area of the circle,
we use the formula
A = pi r^2, where r is the radius
We know the diameter is 15 so we can find the radius from
r = d/2 where d is the diameter
r = 15/2
A = pi ( 15/2) ^2
A = pi ( 225/4)
A = 56.25 pi cm^2
Is there any more of the problem
