Answer:

Step-by-step explanation:
In order to solve this we can start by drawing a sketch of the problem (see attached picture)
So fist, let's take the general form of a sinusoidal movement:

where:
A= amplitude
= angular frequency
x= time
= horizontal shift
b= vertical shift.
In this case, the amplitude will be the maximum distance between the center of the wheel and the highest or lowest point of the trajectory, in this case:
A= 13in - 0.5in =12.5 in
The angular frequency is how many radians the wheel will turn in a minute, so we get:


Generally, the sin function will start at the center of the circular movement. In this case, since it starts on the lowest point, we can say that the graph moves right by
, so in this case:

and finally, the vertical shift is the distance between the center of the circular movement and the ground so in this case:
b=13in
so when putting it all together we get our equation to be:

Answer:
Graph A
Step-by-step explanation:
A directly proportional relationship must create a straight line that goes through the origin (0,0) ( note that the slope can be negative or positive in a proportional relationship. )
All graphs show a straight line going through the origin except Graph A.
Graph A shows a straight line however that line does not go through the origin therefore it is not a proportional relationship
A1 = 7
a(sub)n = a(sub)n-1 - 3
(sub) indicates the values touching the parenthesis are written as a subscript.
The above would be the recursive formula as you are taking the previous number and subtracting 3 to get the next number in the sequence.
Polynomial equation is a equation which is formed with coefficients variables and exponents with basic mathematics operation and equality sign. From the given option the option C correctly combines the like terms and puts the given polynomial in standard form which is,

Hence the option C is the correct option.
<h3>
Given information-</h3>
The given polynomial equation in the problem is,

<h3>
Polynomial equation </h3>
Polynomial equation is a equation which is formed with coefficients variables and exponents with basic mathematics operation and equality sign.
In the above polynomial equation the variable are<em> x </em>and the highest power of the variable <em>x</em> is four.
Arrange the given polynomial equation in the power of the variable <em>x. </em>Thus,

Make the group of the same power of the variable <em>x. </em>Therefore,



From the given option the option C correctly combines the like terms and puts the given polynomial in standard form which is,

Hence the option C is the correct option.
Learn more about the polynomial equation here;
brainly.com/question/25958000