The restricted domains for the inverse trigonometric functions are the quadrants, that can be each of the following intervals:
<h3>What are equivalent angles?</h3>
Each angle on the second, third and fourth quadrants will have an equivalent on the first quadrant. The relevance to these equivalent angles is that they may have equal values for the trigonometric functions, meaning that they are not one-to-one.
If we restrict the domain of the trigonometric functions in any of the four quadrants, we guarantee that they are one-to-one, hence the restricted domains are given as follows:
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The true statement regarding the intervals where the function is increasing and decreasing is option A: The function is increasing from (–∞, 0).
<h3>What is a function?</h3>
A function is defined as a relation between the set of inputs having exactly one output each.
On a coordinate plane, a parabola opens down with solid circles along the parabola at (-3, -5), (-2, 0), (-1, 3), (0, 4), (1, 3), (2, 0), (3, -5).
The domain is all real numbers.
The range is all real numbers.
If for an interval I, when x decreases meanwhile staying in interval I, the function's output increases (or can stay same), then we say that the function is increasing in the interval.
The true statement regarding the intervals where the function is increasing and decreasing is option A: The function is increasing from (–∞, 0).
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Step-by-step explanation:
This triangle is acute! ✅
It is also scalene.
see the picture below
Let, amount of 14% solution required is x ounces.
So, amount of 8% solution will be ( 28 - x ) ounces.
Now, mathematical equation is :
Therefore, amount of 14% solution and 8% solution required is 4 ounces and 24 ounces respectively.
Hence, this is the required solution.
See below for the response to each question
<h3>The variable</h3>
This is the item that is being surveyed.
The surveyed item is birth weights
Hence, the variable is birth weights
<h3>The
units of the variable</h3>
From the question, we have:
Average birth weight is 6 pounds 8 ounces.
Hence, the units of the variable are pounds and ounces
<h3>The population</h3>
This is the total number of babies in Southeast Asia
Hence, the population of interest is the babies in Southeast Asia
<h3>The individual</h3>
This is the people in the survey
Hence, the individual in the study is the 100 babies that were randomly surveyed
<h3>The
parameter of interest</h3>
This is the value that gives the required information.
Hence, the parameter of interest is the average birth weight
<h3>What is the statistic involved</h3>
The statistic is the average
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