Now the aim of the above discussion is to internalize the mathematical relationships for open-end air columns in order to perform calculations predicting the length of air column required to produce a given natural frequency. And conversely, calculations can be performed to predict the natural frequencies produced by a known length of air column. Each of these calculations requires knowledge of the speed of a wave in air (which is approximately 340 m/s at room temperatures). The graphic below depicts the relationships between the key variables in such calculations. These relationships will be used to assist in the solution to problems involving standing waves in musical instruments.
Answer:
Step-by-step explanation:
Given
<em>Translation: 3 units left and 1 unit right</em>
Required
Determine the new coordinates of B
Write out the coordinates of B
When a function is shifted to the left, we have to subtract the unit from the x value of the function;
<em>Shifting by 3 units left, the new x becomes </em>
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When a function is shifted upward, we have to add the unit to the y value of the function;
<em>Shifting by 1 unit up, the new y becomes </em>
Hence, the new coordinates of B is
Answer:
B. 121
Step-by-step explanation:
Complete the square.
Take half of the middle term, 22, and square it.
So 11^2 = 121.
Answer:
p > -2.
Step-by-step explanation:
5 + p > 3
5 - 5 + p > 3 - 5
p > -2.
Answer:
s = 2q + 3
Step-by-step explanation:
A linear function has the form:
● y = mx + b
● y is the output of the function
● x is the variabke that we input
● b is the y-intetcept.
Focus on y and x.
Notice that y depends of the value of x. The value of y changes by changing x. So the value of x controls the output y.
y is dependent but x is not.
■■■■■■■■■■■■■■■■■■■■■■■■■■
● 6q = 3s - 9
We want q to be the independent variable wich means that q will be the input. Therefore s should be the output.
The strategy we are going to follow is separating s in one side alone.
● 6q = 3s - 9
Add 9 to both sides
● 6q + 9 = 3s -9 + 9
● 6q + 9 = 3s
Divide both sides by 3
● (6q + 9)/3 = (3s)/3
● (6q)/3 + 9/3 = s
● s = 2q + 3
So the answer is s = 2q + 3
