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Anettt [7]
3 years ago
10

How many antinodes are in the standing wave pattern shown? 1. 2 2. 4 3. 3 4. 7 5. 5 6. 6?

Mathematics
1 answer:
Sphinxa [80]3 years ago
4 0

There's 6 antinodes here.

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Answer:

1) 500     2) $ 1000 debt    3) $350    4) $2500 debt

Step-by-step explanation:

profit = .5x -250  

1)  O      = .5x -250

250 = .5x

500 = x      number to break even

2)   f(900) =  .5 (900) -250 =  $200

       from the graph  g(200) = total debt = $1000

3)   f(x) = -75  = .5x-250    results in    x = $ 350

4)    f(500) = .5(500) - 250 = 0  

      from the graph, this corresponds to total debt g (f(500) = $2500 debt

       

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Which one is the least?<br> 1/8, 1.125, or 2/5?<br> Then after which one is bigger?
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1/8 is smaller than 2/5, and 2/5 is smaller than 1.125

Step-by-step explanation:

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A= x^2 -30x+225 The polynomial represents the area (in square feet) of the square playground. a. Write a polynomial that represe
Setler [38]

Answer:

a) The polynomial is equivalent to A = (x-15)^{2}, and the side length of the playground is x -15 feet.

b) The perimeter of the playground, measured in feet, is p = 4\cdot (x-15).

Step-by-step explanation:

a) By Geometry, we know that area of the square is equal to the square of the side length. If A = x^{2}-30\cdot x +225 is the area of the square, then must be a perfect square trinomial, that is:

(x-a)^{2} = x^{2}-2\cdot a\cdot x + a^{2} (1)

Then, we must observe the following properties:

-2\cdot a = -30 (2)

a = 15

a^{2} = 225 (3)

a = 15

Therefore, the polynomial is equivalent to A = (x-15)^{2}, and the side length of the playground is x -15 feet.

b) The perimeter of a square equals four times the side length. That is:

p = 4\cdot (x-15)

The perimeter of the playground, measured in feet, is p = 4\cdot (x-15).

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