Applying multiplication of functions, the total number of seats in the auditorium is given by:
h(x) = 80x² + 560x.
<h3>How polynomial functions are multiplied?</h3>
They are multiplied applying the distributive property, that is, all the terms are multiplied and then the common terms are added.
In this problem, the functions are given as follows:
Then the multiplication is:
h(x) = f(x)g(x) = 80x(x + 7) = 80x² + 560x.
More can be learned about multiplication of functions at brainly.com/question/13136492
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Answer:
13.9 in
Step-by-step explanation:
Use the Pythagorean Theorem to answer this. Folding the paper along its diagonal produces two triangles; each one has shorter side 8.5 in and longer side 11 in. According to the Pyth. Thm., (8.5)^2 + 11^2 = 193.25, which results in the diagonal length √193.25, or approx. 13.9 in.
Answer:
The point of maximum growth is at x=0.82
Step-by-step explanation:
Given a logistic function
we have to find the point of maximum growth rate for the logistic function f(x).
From the graph we can see that the carrying capacity or the maximum value of logistic function f(x) is 24 and the point of maximum growth is at 
i.e between 0 to 12
So, we can take and then solve for x.
⇒ 
⇒ 
⇒ 
⇒ log 3=-1.3x
⇒ -0.4771=-1.3.x ⇒ x=0.82
Hence, the point of maximum growth is at x=0.82
Answer: parameter: The proportion of registered voters who will vote Yes on the measure.
Sample: The 1000 registered voters who participated in the study.
Statistic: The proportion of the 1000 registered voters that were surveyed who will vote Yes on the measure.
Variable: Yes or No for each registered voter
Population: All registered voters in the US
Data: The list of Yes and No answers that were given by the 1000 participants in the study.
Step-by-step explanation:
Definitions of the given terms:
- Population: Large groups of individuals having similar characteristics as per the researcher's point of view.
- Sample: It is a subset of the population used to represent it.
- Parameter: Measure of particular characteristics in the population.
- Statistic: Measure of particular characteristics in the sample.
- Variable: Characteristics that vary.
- Data: A collected information facts and statistics.
Hence, by using the above definitions, we have
- Parameter: The proportion of registered voters who will vote Yes on the measure.
- Sample: The 1000 registered voters who participated in the study.
- Statistic: The proportion of the 1000 registered voters that were surveyed who will vote Yes on the measure.
- Variable: Yes or No for each registered voter.
- Population: All registered voters in the US.
- Data: The list of Yes and No answers that were given by the 1000 participants in the study.
