The equation that represents the <em>sinusoidal</em> function is
,
.
<h3>Procedure - Determination of an appropriate function based on given information</h3>
In this question we must find an appropriate model for a <em>periodic</em> function based on the information from statement. <em>Sinusoidal</em> functions are the most typical functions which intersects a midline (
) and has both a maximum (
) and a minimum (
).
Sinusoidal functions have in most cases the following form:
(1)
Where:
- Angular frequency
- Angular phase, in radians.
If we know that
,
,
,
and
, then the sinusoidal function is:
(2)
(3)
The resulting system is:
(2b)
(3b)
By applying <em>inverse trigonometric </em>functions we have that:
,
(2c)
,
(3c)
And we proceed to solve this system:


,

By (2c):



The equation that represents the <em>sinusoidal</em> function is
,
. 
To learn more on functions, we kindly invite to check this verified question: brainly.com/question/5245372
Answer:
x- 5
y- 6
Step-by-step explanation:
A proportional relationship is a relationship for which a proportional constant y/x exists and for which it passes through (0,0) or the origin.
The proportional constant is 6.
18/3=6
42/7=7
54/9=6
Thus the filled in blanks should be x 1, 3, 5, 7, 9 and y 6, 18, 30, 42, 54.
The percentage of increase in Roberto score is 14.87%, if Roberto made a 74 on last weeks math quiz. this week he made an 85 on the quiz.
Step-by-step explanation:
The given is,
Roberto score on math quiz at last week is 74
This week he made an 85 on the quiz
Step:1
Formula to calculate the percentage of increase the score,
× 100...........(1)
From the given,
Final score = 85
Starting score = 74
Equation (1) becomes,
× 100
=
× 100
= 0.1486486 × 100
= 14.86486 %
≅ 14.87 %
Percentage of increase = 14.87 %
Result:
The percentage of increase in Roberto score is 14.87%, if Roberto made a 74 on last weeks math quiz. this week he made an 85 on the quiz.
The y intercept is the point where the line crosses the y (vertical) axis. So the y intercept is the point (0,3). The slope is 3/2
D) 1/m^18
Explanation:
(m^-2/m-1m5)^3
m^-6/m^-3m^15
1/m^6 / m^15/m^3
1/m^6 / m^12
1/m^6 (1/m^12)
1/m^18
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