Since the expressions for f(x) and g(x) are already given, f(g(2)) means to substitute the value of 2 to the expression of g(x), then further substituting the obtained value of g(2) into the expression of f(x). This is shown below:
f(x) = x + 8
g(x) = x^2 - 6x - 7
f(g(x) = x^2 - 6x - 7 + 8
f(g(2)) = 2^2 - 6(2) + 1
f(g(2)) = 4 - 12 + 1
f(g(2)) = -7
Therefore, the correct answer is -7.
The diameter is given which is 13.5feet and radius is half of diameter. Therefore radius = 6.75 feet.
Slant height = 16.8 feet
The formula of surface area of cone is
Correct option is C
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Step-by-step explanation:
The central tendency researcher use to describe these data is "mode".
<h3>What is mode?</h3>
The value that appears most frequently in a data set is called the mode. One mode, several modes, or none at all may be present in a set of data. The mean, or average of a set, and the median, or middle value in a set, are two more common measurements of central tendency.
Calculation of mode is done by-
- The number that appears the most frequently in a piece of data is its mode.
- Put the numbers in ascending order by least to greatest, then count the occurrences of each number to quickly determine the mode.
- The most frequent number is the mode.
- Simply counting how many times each number appears in the data set can help you identify the mode, which is the number that appears the most frequently in the data set.
- The figure with the largest total is the mode.
- Example: Since it happens most frequently, the mode for the data set [5, 7, 8, 2, 1, 5, 6, 7, 5] is 5.
To know more about the mode of the data, here
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