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Sauron [17]
3 years ago
8

jackson spends 2 1/4 hours painting 2 1/2 pictures. He spends the same amount if time painting each picture. How much in hours d

oes jackson spend painting each picture
Mathematics
1 answer:
vazorg [7]3 years ago
5 0

Answer:

1 hour and 7 1/2 minutes per picture

Step-by-step explanation:

2 1/4 = 60 * 2 = 120 + 15 = 135/2= 67.5 = 1 hour and 7 1/2 minutes

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Answer:

<em>n = 6 </em>

Step-by-step explanation:

2.3 × 10^{9} = (1 × 10³)(2.3 × 10^{n} )

(1 × 10³)(2.3 × 10^{n} ) = (1)(2.3) × (10³)( 10^{n} ) = 2.3 × 10^{3+n}

2.3 × 10^{3+n} = 2.3 × 10^{9} ⇒ 3 + n = 9 ⇒ <em>n = 6</em>

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4 years ago
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3 years ago
What is the derivative of the function below?
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g(x)=4x-\dfrac{1}{4x}=4x-(4x)^{-1}\\\\\\\\g'(x)=\left[4x-(4x)^{-1}\right]'=(4x)'-\left[(4x)^{-1}\right]'=4-[-1(4x)^{-2}]\cdot4\\\\=4+\dfrac{1}{(4x)^2}\cdot4=4+\dfrac{4}{4^2x^2}=\boxed{4+\dfrac{1}{4x^2}}\\\\Used:\\\\(f(x)-g(x))'=f'(x)-g'(x)\\\\.[f(g(x))]'=f'(g(x))\cdot g'(x)\\\\(x^n)'=nx^{n-1}

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