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3 years ago

Dion shares 1/3 cup of nuts equally with his brother.

Mathematics

1 answer:

antiseptic1488 [7]3 years ago

5 0

Each person will get $\frac{1}{6}$ cups of nuts.

Step-by-step explanation:

Given,

Quantity of nuts to share = 1/3 cups of nuts

As Dion will share this with his brother, it means,

1 share of Dion, 1 share of his brother = 2 shares

We will divide the quantity of nuts with 2.

Share of each person = $\frac{1}{3}*\frac{1}{2}$

Share of each person = $\frac{1}{6}$ cups of nuts

Each person will get $\frac{1}{6}$ cups of nuts.

Keywords: fraction, division

Learn more about division at:

#LearnwithBrainly

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$f$ has critical points where the derivative is 0:

$2(x+1)e^{x^2+2x}=0\implies x+1=0\implies x=-1$

The second derivative is

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and $f''(-1)=\frac2e>0$ , which indicates a local minimum at $x=-1$ with a value of $f(-1)=\frac1e$ .

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$\dfrac1e\le f(x)\le e^8$

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If sin(2x) = cos(x + 30°), what is the value of x?

valkas [14]

Answer:

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or x = 30 ° + π/2 + 2 π n_2 for n_2 element Z

Step-by-step explanation:

Solve for x:

sin(2 x) = cos(x + 30 °)

Rewrite the right hand side using cos(θ) = sin(θ + π/2):

sin(2 x) = sin(30 ° + π/2 + x)

Take the inverse sine of both sides:

2 x = -30 ° + π/2 - x + 2 π n_1 for n_1 element Z

or 2 x = 30 ° + π/2 + x + 2 π n_2 for n_2 element Z

Add x to both sides:

3 x = -30 ° + π/2 + 2 π n_1 for n_1 element Z

or 2 x = 30 ° + π/2 + x + 2 π n_2 for n_2 element Z

Divide both sides by 3:

x = -10 ° + π/6 + (2 π n_1)/3 for n_1 element Z

or 2 x = 30 ° + π/2 + x + 2 π n_2 for n_2 element Z

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3 years ago

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Strike441 [17]

Answer:

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Step-by-step explanation:

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Now we can just plug everything in to the rate of change formula.

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Now that you have the formula we don't need to explain each time.

$x_{1} =$ -2

$y_{1} =$ 2

$x_{2} =$ 1

$y_{2} =$ - 4

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$y_{1} =$ -3

$x_{2} =$ 1

$y_{2} =$ - 4

$\frac{y_{2}- y_{1}}{x_{2}-x_{1}} = \frac{-4-(-3)}{1-0} = \frac{-4 + 3}{1-0} = \frac{-1}{1}$ = -1

$x_{1} =$ 1

$y_{1} =$ -4

$x_{2} =$ 2

$y_{2} =$ 0

$\frac{y_{2}- y_{1}}{x_{2}-x_{1}} = \frac{0 - (-4)}{2-1} = \frac{0 + 4}{2-1} = \frac{4}{1}$ = 4

$x_{1} =$ -1

$y_{1} =$ 0

$x_{2} =$ 0

$y_{2} =$ -3

$\frac{y_{2}- y_{1}}{x_{2}-x_{1}} = \frac{-3- 0}{0-(-1)} = \frac{-3- 0}{0+1} = \frac{-3}{1}$ = -3

$x_{1} =$ -1

$y_{1} =$ 0

$x_{2} =$ 2

$y_{2} =$ 0

$\frac{y_{2}- y_{1}}{x_{2}-x_{1}} = \frac{0- 0}{2-(-1)} = \frac{0- 0}{2+1} = \frac{0}{3}$ = 0

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