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3 years ago

12 men can plant the paddy in a rupandehi of field in 10 hours how many men are required to plan the same in 6 hours only

Mathematics

1 answer:

xz_007 [3.2K]3 years ago

5 0

Answer:

20 mens

Step-by-step explanation:

12 men can plant paddy in 10 hours

1 man can plant the paddy in (10 × 12) hours

10 × 12 / 6 = 20

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How do I differentiate this?

disa [49]

Answer:

$\frac{8}{\left(-x+2\right)^2}$ & $x = 1, x = 3$

Step-by-step explanation:

I'm sure you are familiar with the product rule,

If y = u*v => dy/dx = u * dv/dx + v * dy/dx <----- product rule

In this case:

$u=3x+2,\:v=\left(2-x\right)^{-1},\\=>\frac{d}{dx}\left(3x+2\right)\left(2-x\right)^{-1}+\frac{d}{dx}\left(\left(2-x\right)^{-1}\right)\left(3x+2\right)$

Now remember the sum rule:

$\frac{d}{dx}\left(3x+2\right) = \frac{d}{dx}\left(3x\right)+\frac{d}{dx}\left(2\right),\\\frac{d}{dx}\left(3x\right) = 3,\\\frac{d}{dx}\left(2\right) = 0\\\frac{d}{dx}\left(3x+2\right) = 3$

For this second bit we apply the chain rule:

$\frac{d}{dx}\left(\left(2-x\right)^{-1}\right) = -\frac{1}{\left(2-x\right)^2}\frac{d}{dx}\left(2-x\right),\\\frac{d}{dx}\left(2-x\right) = -1,\\\\=> -\frac{1}{\left(2-x\right)^2}\left(-1\right)\\=> \frac{1}{\left(2-x\right)^2}$

If we substitute these values back into the expression... $\frac{d}{dx}\left(3x+2\right)\left(2-x\right)^{-1}+\frac{d}{dx}\left(\left(2-x\right)^{-1}\right)\left(3x+2\right)$

...we get the following:

$3\left(2-x\right)^{-1}+\frac{1}{\left(2-x\right)^2}\left(3x+2\right)$

The rest is just pure simplification:

$3\left(2-x\right)^{-1}+\frac{1}{\left(2-x\right)^2}\left(3x+2\right)\\= \frac{3}{-x+2}+\frac{3x+2}{\left(-x+2\right)^2}\\= \frac{3\left(-x+2\right)}{\left(-x+2\right)^2}+\frac{3x+2}{\left(-x+2\right)^2}\\\\= \frac{3\left(-x+2\right)+3x+2}{\left(-x+2\right)^2}\\\\= \frac{8}{\left(-x+2\right)^2}$

Now let's equate this to equal 8 for the second bit and solve for x:

$\frac{8}{\left(-x+2\right)^2}=8,\\\frac{8}{\left(-x+2\right)^2}\left(-x+2\right)^2=8\left(-x+2\right)^2,\\8=8\left(-x+2\right)^2,\\\left(-x+2\right)^2=1,\\x = 1, x = 3$

4 0

3 years ago

Order the following fractions from least to greatest<br> 3/8 3/4 5/16 1/2

valentinak56 [21]

Answer:5/16 3/8 3/4 1/2

7 0

3 years ago

Read 2 more answers

QUIZ

Mashcka [7]

Answer: Sometimes

Step-by-step explanation: Through every 2 points is a line, so it would be sometimes as a line only has a minimum of 2 points.

5 0

3 years ago

Omar rides his unicycle on the playground.

Licemer1 [7]

Answer:

439.6 inches

Step-by-step explanation:

The distance apart cna be obtained using the formular :

Number of revolutions = 7

Diameter, d = 20 inches

π * number of revolutions * diameter

3.14 * 7 * 20

= 439.6 inches

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3 years ago

2x + 7 = 27 or 3 + 3x = 30

Leokris [45]

Step-by-step explanation:

2x + 7 = 27 OR 3 + 3x = 30.

2x = 27 - 7 OR 3x = 30 - 3

2x = 20 OR 3x = 27

x = 20/2 OR x = 27/3

x = 10 OR x = 9

5 0

2 years ago

12 men can plant the paddy in a rupandehi of field in 10 hours how many men are required to plan the same in 6 hours only​

12 men can plant the paddy in a rupandehi of field in 10 hours how many men are required to plan the same in 6 hours only