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AleksandrR [38]
3 years ago
13

Write the first five terms of the arithmetic sequence. First term: -8 and common difference: -2

Mathematics
1 answer:
Hunter-Best [27]3 years ago
7 0

Answer:

-8,-10,-12,-14,-16

Step-by-step explanation:

Just take -8 and add -2 to find each term

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The two dot plots represent a sample of the number of
zheka24 [161]

The answer is:

Both have the same number of data points

Both means are between 3 and 4

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3 years ago
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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
A toy rocket is lunch vertically upward from ground level in into velocity of one 28 ft./s how long will it take for the rocket
pentagon [3]

Answer:

1.14 s

Step-by-step explanation:

Time, t=\frac {d}{s}

Here, d is the distance and s is the speed/velocity

Since we're given the velocity, s as 28 ft/s and the distance between the position of the rocket and ground as 32 ft then

t=\frac {32}{28}=1.142857143\approx 1.14 s

Therefore, it needs 1.14 seconds

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What is equation represents Jakes situation
vlabodo [156]

Answer:

the first one

Step-by-step explanation:

i assume they want to know how many cookies are in each box so you take the total number of cookies and divide by the number of boxes which is four so t/4 = b since they don't give you an amount of cookies

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3 years ago
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