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2 years ago

Find 2 consecutive odd integers such that 3 times the larger is 29 more than 3 times the smaller

1 answer:

4 0

$x,\ x+2-two\ consecutive odd integers\\\\3(x+2)=3x+29\\\\3x+6=3x+29\ \ \ |-3x\\\\6=29\ \ \ FALSE\\\\Answer:\ \text{such numbers do not exist}$

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ludmilkaskok [199]

Answer:

$\dfrac{dy}{dx}=- \dfrac{1}{\left(x - 1\right) \left(x + 1\right)}$

Step-by-step explanation:

Given:

$y = \ln{\left(\dfrac{x + 1}{x - 1}\right)^{\frac{1}{2}}$

using the properties of log we can take the power 1/2 and multiply it.

$y = \dfrac{1}{2}\ln{\left(\dfrac{x + 1}{x - 1}\right)$

now we can differentiate:

$\dfrac{dy}{dx} = \dfrac{1}{2}\dfrac{1}{\left(\dfrac{x + 1}{x - 1}\right)}\left(\dfrac{d}{dx}\left(\dfrac{x+1}{x-1}\right)\right)$

$\dfrac{dy}{dx} = \dfrac{1}{2}\left(\dfrac{x - 1}{x + 1}\right)\left(- \dfrac{2}{\left(x - 1\right)^{2}}\right)$

$\dfrac{dy}{dx}=- \dfrac{1}{\left(x - 1\right) \left(x + 1\right)}$

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8 0

3 years ago

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mrs_skeptik [129]

Answer:

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Step-by-step explanation:

3 0

2 years ago

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Jesse drank 3/4 of liter of water Monday before going jogging. He drank 3/5 of a liter of water after his jog. How much water di

charle [14.2K]

Answer:

$1\frac{7}{20}$

Step-by-step explanation:

Step one

Given data

On Monday, Jesse drank 3/4 of liter of water before jogging

and drank 3/5 of liter after jogging

In all, Jesse drank 3/4 and 3/5 liters of water

= 3/4+3/5

the lcm is 20

=15+12/20

=27/20

in mixed numbers(i.e a whole and a fraction together we have) we have

$1\frac{7}{20}$

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2 years ago

Mariah makes bead necklaces. Beads are packaged in bags of 50 and bags of 200. Mariah bought 4 bags of 50 beads and 3 bags of 20

nalin [4]

Since she bought 4 bags of 50 beads and 3 bags of 200 beads you only need to use two operations: multiply and add. 4 x 50 is 200 3 x 200 is 600 600 + 200 = 800 Mariah purchase 800 beads in total.

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2 years ago

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allochka39001 [22]

Answer:

Step-by-step explanation:

The Moon actually takes 27.3 days to complete one orbit around Earth

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2 years ago

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