The total sound power, in decibels, from x objects each producing 50 decibels of sound power is given by the function f(x) = 50
+ 10 log x. Suppose each of the x objects increases its sound power by 10 decibels, so that the new total sound power, in decibels, is given by the function g(x) = f(x) +10
which shows the graphs of f(x) and g(x)?
which shows the graphs of f(x) and g(x)?
1 answer:
You might be interested in
The constraint for the maximum enclosed area is the amount the farmer is
willing to spend on fencing.
The width of the plot that will give the most area, y = <u>83.</u><u> feet</u>
The length of the plot that will give the most area, y = <u>125 feet</u>
Reasons:
The given parameters are;
The cost of fencing per foot = $20
The maximum amount the farmer is willing to spend = $5000
Number of sides of fencing = 3 sides
Cost of the west side of the = Split with neighbor
Solution:
Let, y, represent the length of the fence, and let <em>x</em> represent the width of
the fence, we have;
Length of fence required = y + 2·x
Cost of the fence = 20·y + 20·x + (20÷2)·x = 20·y + 30·x
Therefore;
Maximum amount to be spent on the fence, 5000 = 20·y + 30·x
Area of a rectangle = Length × Width
The enclosed rectangular area of the fencing, A = y × x
The leading coefficient of the quadratic function of the area is negative,
therefore, the function only has a maximum point.
At the point of the most area, the slope,
Finding the value of <em>x</em> at the maximum point, we get;
Therefore;
The length of the plot that will give the most area, y = <u>125 feet</u>
Learn more here:
Answers: 0.08 and -0.08; 0.09i and -0.09i.
When taking square roots, we take the positive and negative answers. This gives us the first answer.
For the second answer, we rewrite -0.0081 as a complex number:
When taking square roots, we take the positive and negative answers. This gives us the first answer.
For the second answer, we rewrite -0.0081 as a complex number:
Answer:
represent the sample for the sample 1
represent the sample for the sample 2
represent the deviation for the sample 1
represent the deviation for the sample 2
represent the sample size for the group 1
represent the sample size for the group 2
And on this case if we create the system of hypothesis we have this:
Null hypothesis :
Alternative hypothesis:
Step-by-step explanation:
Previous concepts
A hypothesis is defined as "a speculation or theory based on insufficient evidence that lends itself to further testing and experimentation. With further testing, a hypothesis can usually be proven true or false".
The null hypothesis is defined as "a hypothesis that says there is no statistical significance between the two variables in the hypothesis. It is the hypothesis that the researcher is trying to disprove".
The alternative hypothesis is "just the inverse, or opposite, of the null hypothesis. It is the hypothesis that researcher is trying to prove".
On this caseHe wants to prove that Raymondville residents (population 1) dine out more often than Rosenberg residents (population 2). So this statement need to be on the alternative hypothesis. And the complement of the alternative hypothesis would be on the null hypothesis.
Solution to the problem
We assume that we have the following statistics:
represent the sample for the sample 1
represent the sample for the sample 2
represent the deviation for the sample 1
represent the deviation for the sample 2
represent the sample size for the group 1
represent the sample size for the group 2
And on this case if we create the system of hypothesis we have this:
Null hypothesis :
Alternative hypothesis: