Function B best models the researcher's data because it passes through most of the points.
<h3>What is an
equation?</h3>
An equation is an expression that shows the relationship between two or more numbers and variables.
A graph of best fit can be determined by drawing a straight line or curve on a scatter plot so that the number of points above the line and below the line is about equal and the graph passes through most of the points.
Function B best models the researcher's data because it passes through most of the points.
Find out more on equation at: brainly.com/question/2972832
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I believe you would calculate this like so;
We want 18% less than 100% of that amount therefore the single multiplier we would use is as follows:
(100% - 18%) = 82%
Which alternatively = 0.82
Does that make sense? If not I can explain it a bit more. Please let me know.
It looks like the given equation is
sin(2x) - sin(2x) cos(2x) = sin(4x)
Recall the double angle identity for sine:
sin(2x) = 2 sin(x) cos(x)
which lets us rewrite the equation as
sin(2x) - sin(2x) cos(2x) = 2 sin(2x) cos(2x)
Move everything over to one side and factorize:
sin(2x) - sin(2x) cos(2x) - 2 sin(2x) cos(2x) = 0
sin(2x) - 3 sin(2x) cos(2x) = 0
sin(2x) (1 - 3 cos(2x)) = 0
Then we have two families of solutions,
sin(2x) = 0 or 1 - 3 cos(2x) = 0
sin(2x) = 0 or cos(2x) = 1/3
[2x = arcsin(0) + 2nπ or 2x = π - arcsin(0) + 2nπ]
… … … or [2x = arccos(1/3) + 2nπ or 2x = -arccos(1/3) + 2nπ]
(where n is any integer)
[2x = 2nπ or 2x = π + 2nπ]
… … … or [2x = arccos(1/3) + 2nπ or 2x = -arccos(1/3) + 2nπ]
[x = nπ or x = π/2 + nπ]
… … … or [x = 1/2 arccos(1/3) + nπ or x = -1/2 arccos(1/3) + nπ]
