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SpyIntel [72]
3 years ago
6

An electric company calculates a person's monthly bill from the number of

Mathematics
1 answer:
VashaNatasha [74]3 years ago
4 0

Answer:

<h3>$80</h3>

Step-by-step explanation:

If a person's monthly bill from the number of  kilowatt-hours (kWh), x is modeled by the equation b = 0.15(x - 200) +20, to know the bill for a person who uses 600 kWh in a month, we will substitute x = 600 into the modeled equation as shown;

b(x) = 0.15(x - 200) +20\\\\b(600) = 0.15(600 - 200) +20\\\\b(600 )= 0.15(400) +20\\\\b(600 )= 15/100*(400) +20\\\\b(600 )= (15*4)+20\\\\b(600 )= 60+20\\\\b(600 )= 80

<em></em>

<em>Hence the bill for a person who uses 600 kWh in a month is $80</em>

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Answer:

Step-by-step explanation:

Given function is h(t) = -16t² + 1500

a). For h(t) = 1000 feet,

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   1000 - 1500 = -16t² + 1500 - 1500

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b). For h(t) = 940 feet,

   940 = -16t² + 1500

   940 - 1500 = -16t² + 1500 - 1500

   -16t² = -560

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   t = \sqrt{35}

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c). For domain and range of the function,

  When the jumper comes down to the ground,

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   0 =-16t² + 1500

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  Since, x-values on the graph vary from x = 0 to x = 9.68,

  Domain : [0, 9.68]

  Vertex of the quadratic function: (0, 1500)

  Since, coefficient of the highest degree term is negative, parabola will open downwards.

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3 years ago
A straight slide in a playground design makes an isosceles triangle with the
julia-pushkina [17]

Answer:

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Step-by-step explanation:

  • First, the you need ti understand that the triangle is an isosceles right angled triangle. In other words, the base and height are equal in length. The third side is the slide. This is the longest side.
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      32 = 1/2 (x²)

     Multiplying both sides by 2 gives:

     32×2 = x²

     64  = x²

       8   = x

To find the third side, we use the Pythagoras theorem:

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