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a researcher observes and records the height of a weight moving up and down on the end of a spring. at the beginning of the observation the weight was at its highest point. from its resting position, it takes 20 seconds for the weight to reach its highest position, fall to its lowest position, and return to its resting position. the difference between the lowest and the highest points is 6 in. assume the resting position is at y = 0.

use the sine tool to graph the function. the first point must be on the midline and the second point must be a maximum or minimum value on the graph closest to the first point.

First, second and third points are (0, 0), (5, 3) and (15, -3).

Step-by-step explanation:

In this question we have to draw a sine graph with the parameters

Amplitude a = 6/2 =3

resting position is y = 0 means there is no horizontal and vertical shift.Curve starts from the origin (0, 0).

Time t taken from rest position to maximum, then from maximum to minimum and then to rest position = 20 seconds

So period = 20 seconds

b = 2π/period = 2π/20 = π/10

c = 0 and d= 0

Now we write the equation of sine curve.

y = asin(bx + c) + d

y = 3sin(πt/10 +0) + 0

y = 3sin(πt/10)

So the the points are (0, 0), (5, 3),(15, -3).

i think is 3 and 6. this took me 10 min to think.hope to and hope that my answer is brainliest.(follow me )

so firstly, we need to isolate the y variables to be able to solve these inequalities. firstly, add 0.5x on both sides of the first inequality and subtract 1.5x on both sides of the second inequality:

now since the slope is positive for the first inequality, this means that the line going upwards belongs to the first inequality, and the line going downwards belongs to the second inequality.

next, since y ≥ in the first inequality, this means that the shaded region will be above the first inequality's line, thus shading regions a and b.

next, since y ≤ in the second inequality, this means that the shaded region is going to be below this line, thus shading regions a and c.

since both lines shade region a, this means that region a is the solution.

step-by-step explanation:

mark brainliest!