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galina1969 [7]
2 years ago
13

The prime factorization of a number is 2 with a small 3 at the top x9 explain why this is correct or incorrect?​

Mathematics
1 answer:
masya89 [10]2 years ago
3 0
It is correct !!!!!!!
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What is 8/8 in word form?
dexar [7]

Answer:

EIGHT divided by EIGHT

Step-by-step explanation:

The 8/8 word form is EIGHT divided by EIGHT

6 0
2 years ago
Read 2 more answers
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
Suppose you take out a loan for $9,000, at 12% ordinary interest. If the amount of interest is $762.00, what is the time period?
DaniilM [7]
For the answer to the question above,
<span>Let's figure out the formula first
FV = PV(1+i/n)^(nt)
9762= 9000(1+0.12/12)^(12x)
9762= 9000(1.01)^12x
9762/9000=1.01^12x
1.08467=1.01^12x
ln1.08467/12 x ln1.01=0.681 years (8.17 months) same as my calculator
So,
0.681x360=
245.16 days is</span><span> the time period</span>
3 0
3 years ago
Logan can make $50 per pool to clean pools during the summer to earn money. He did, however, need to
babunello [35]

Answer:

Step-by-step explanation:

y = 50x - 165

7 0
2 years ago
Given, f(x) = 2x + 7<br> Find f(3)
Elina [12.6K]
  • Answer:

<em>f(3) = 13</em>

  • Step-by-step explanation:

<em>f(x) = 2x + 7</em>

<em>replace </em><em>x</em><em> with </em><em>3</em>

<em>f(3) = 2×3 + 7</em>

<em>= 6 + 7</em>

<em>= 13</em>

8 0
3 years ago
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