That’s easy. To turn 5/2 into 10/4 you multiply by 2. :D Hope this helps!
The most prevalent age group reporting stage fright was between 35 and 45 years of age. Wind instrument players were the group most involved (22% of those reporting stage fright).
The <em>trigonometric</em> function that represents the curve seen in the picture is f(x) = 4.5 · sin (π · x / 2 - π) - 6.5.
<h3>How to derive a sinusoidal expression</h3>
In this problem we need to find a <em>sinusoidal</em> expression that models the curve seen in the picture. The most typical <em>sinusoidal</em> model is described below:
f(x) = a · sin (b · x + c) + d (1)
Where:
- a - Amplitude
- b - Angular frequency
- c - Angular phase
- d - Vertical midpoint
Now we proceed to find the value of each variable:
Amplitude
a = - 2 - (-6.5)
a = 4.5
Angular frequency
b = 2π / T, where T is the period.
0.25 · T = 4 - 3
T = 4
b = 2π / 4
b = π / 2
Midpoint
d = - 6.5
Angular phase
- 2 = 4.5 · sin (π · 4/2 + c) - 6.5
4.5 = 4.5 · sin (π · 4/2 + c)
1 = sin (2π + c)
π = 2π + c
c = - π
The <em>trigonometric</em> function that represents the curve seen in the picture is f(x) = 4.5 · sin (π · x / 2 - π) - 6.5.
To learn more on trigonometric functions: brainly.com/question/15706158
#SPJ1
Answer: I think it's the first one.
Step-by-step explanation:
The equation for point slope form is written as :
y - y1 =m(x-x1)
M is the slope which is given as -37
The given point would be X1 and y1, where X1 is 5 and y1 is 8.
The equation becomes:
y - 8 = -37(x -5)
