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WITCHER [35]
2 years ago
5

Any1 know the answer?

Mathematics
1 answer:
user100 [1]2 years ago
6 0
<h2 /><h2 /><h2>Question</h2>

6.A small ball is dropped from a tall building.which equation could present the ball's height, <em>h</em>, in feet, relative to the ground, as a function of time, <em>t</em><em>,</em>in seconds

✒ Answer

a.h = 100 - 16t

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A sine function has the following key features: Period = 4 Amplitude = 3 Midline: y=−1 y-intercept: (0,-1) The function is not a
mezya [45]

Answer:

  • See the graphs attached and the explanation below

Explanation:

The most simple sine function, considered the parent function, is:

     y=sin(x)

That function has:

  • Midline, also known as rest or equilibrium position: y = 0
  • Minimum: - 1
  • Maximum: 1
  • Amplitude: the distance between a minimum or a maximum and the midline = 1
  • period: the interval of repetition of the function = 2π

The more general sine function is:

             y=Asin(Bx+C)+D

That function has:

  • Midline: y = D (it is a vertical shift from the parent function)
  • Minimum: - A + D
  • Maximum: A + D
  • Amplitude: A
  • period: 2π/B
  • phase shift: C (it is a horizontal shift of the from the parent function)

Now, you have to draw the sine function with the given key features:

  • Period = 4 ⇒ 2π/B = 4 ⇒ B = π/2
  • Amplitude, A = 3
  • midline y = - 1 ⇒ D = - 1
  • y-intercept = (0, -1)

Substitute the know values and use the y-intercept to find C:

       

            y=3sin(2x/\pi+C)-1

Substitute (0, -1)

             

              -1=3sin(0+C)-1\\ \\ 3sin(C)=0\\ \\ sin(C)=0\\ \\ C=0

Hence, the function to graph is:

              y=3sin(\pi x/2)-1

To draw that function use this:

  • Maxima: 3(1) - 1 = 3 - 1 = 2, at x = 1 ± 4n (n = 0, 1, 2, 3, ...)
  • Minima: 3(-1) - 1 = - 3 - 1 = -4
  • y-intercept: (0, - 1)
  • x-intercepts: the solutions to 0 = 3sin(πx/2) = - 1
  • first point of the midline: (0, -1) it is the same y-intercept

With that you can understand the graphs attached.

4 0
3 years ago
Mari used a thermometer to record temperatures of -3.4 Celsius and 1.6 Celsius . Which temperature in degrees is lower
madam [21]
I think is would be -3.4
3 0
2 years ago
Find S15 for the geometric series 72 + 12 + 2 + 1/3 +…
Gemiola [76]
S1 = 72
S2 = 12 = 72*(1/6)
S3 = 2 = 72*(1/6)^2
.
.
.
S15 = 72*(1/6)^14 = 9.18*10^(-10)
5 0
3 years ago
Please help with this. it wants to find M M
Lorico [155]

Answer:

im so rorry i dont really understand it tho i could guess but i dont want you to get it wrong

Step-by-step explanation:

3 0
3 years ago
Shawna and her best friend Keisha go shopping.
amid [387]

Answer:

138

Step-by-step explanation:

p(x) = 3x^4 + 2x^3 − 4x^2 + 21

Let x = 2

p(2) = 3*(2)^4 + 2*(2)^3 − 4*(2)^2 + 21

       = 3*16+2*8-4*4+21

       =48+16-16+21

        = 69

This is per girl

There are 2 girls

2 * 69

138

4 0
2 years ago
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