The correct option will be the last one: 
<em><u>Explanation</u></em>
The general equation for sinusoidal function is: 
, where 
Amplitude, 
frequency and 
y-intercept
Here the maximum value is 15 and the minimum value is -3. So, the distance between maximum and minimum values is 18. That means, the Amplitude, 
Frequency 
is given as 3 and y-intercept
is 6
So, the required function will be:
Answer:
97%
Step-by-step explanation:
for such a question we can use the percentage numbers like real unit numbers, as we need to analyze just the percentage numbers and align them with another percentage number with the result of another percentage number.
so, we just use the percentage numbers and deal with mean values and such like with real unit numbers.
therefore we need to find x
(79 + 92 + 71 + 86 + x) / 5 = 85
as the sum of all numbers divided by the number of measurements is the mean value.
and so,
79 + 92 + 71 + 86 + x = 425
328 + x = 425
x = 97
so, the next site must be 97%, so that the average for the 5 surveys will be exactly 85%
8m - 5n + 2m + 6n =Simplifying
8m + -5n + 2m + 6n = 0
Reorder the terms:
8m + 2m + -5n + 6n = 0
Combine like terms: 8m + 2m = 10m
10m + -5n + 6n = 0
Combine like terms: -5n + 6n = 1n
10m + 1n = 0
Solving
10m + 1n = 0
Solving for variable 'm'.
Move all terms containing m to the left, all other terms to the right.
Add '-1n' to each side of the equation.
10m + 1n + -1n = 0 + -1n
Combine like terms: 1n + -1n = 0
10m + 0 = 0 + -1n
10m = 0 + -1n
Remove the zero:
10m = -1n
Divide each side by '10'.
m = -0.1n
Simplifying
m = -0.1n.
Answer:
No they're not equivalent
Step-by-step explanation:
5(x - 9) + 2x -1 -5(9 - x) - 2x
5x - 45 + 2x - 1 5x - 45 - 2x
7x + 46 does not equal 3x - 45
Explaining isnt my specialty, sorry
<h3>
Answer: C) 4/8 = 0.5</h3>
=========================================================
Explanation:
The sine ratio involves the opposite over hypotenuse.
With respect to reference angle J, the opposite leg is the one furthest from the angle. So the opposite side is KL = 4. The hypotenuse is always the longest side, always opposite the 90 degree angle, so LJ = 8 is the hypotenuse.
sin(angle) = opposite/hypotenuse
sin(J) = KL/LJ
sin(J) = 4/8
sin(J) = 0.5
