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goldfiish [28.3K]
3 years ago
11

The student council hires a dj to play music at the school dance. They pay DJ Dan for 3.5 h at his hourly rate plus a 125$ setup

fee. the total cost is $405
What is DjDan's hourly rate?
​
Mathematics
2 answers:
Blizzard [7]3 years ago
8 0

Answer:

$80

Step-by-step explanation:

fiasKO [112]3 years ago
6 0
3.5h + 125 = 405
3.5h = 280
hourly rate = 80 dollars
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Amelia launched her science fair rocket, and then backed away. The path of the rocket is given by the equation below, where y is
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Answer:

1)The rocket hit the ground at     x = \frac{5}{4}

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Step-by-step explanation:

<u><em>Step(i):-</em></u>

Given equation  

                y = -2 x² + 5 x + 7 ...(i)

Differentiating equation (i) with respective to 'x' , we get

             \frac{dy}{dx} = -2( 2x) +5(1) =  -4x +5

Equating zero

            \frac{dy}{dx} = 0

⇒      -4 x +5 =0

⇒      -4 x = -5

⇒          x = \frac{5}{4}

<em> The rocket hit the ground at     </em>x = \frac{5}{4}<em></em>

<u><em>Step(ii):</em></u>-

    \frac{dy}{dx}  =  -4x +5  ...(ii)

Again differentiating equation (ii) with respective to 'x' , we get

 \frac{d^{2} y}{dx^{2} }  = - 4(1)

The maximum height at x = \frac{-5}{4}

  y = -2 x² + 5 x + 7

 y = -2 (\frac{5}{4})^{2}  + 5 (\frac{5}{4} )  + 7

y = \frac{-2(25)+ 25 (16)+7(64)}{64}

y = \frac{798}{64} = 12.468 feet

<em>The maximum height of the rocket = 12.468 feet</em>

       

4 0
3 years ago
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