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3 years ago

I really need help!! what number is equivalent to the fraction? 5 9

Mathematics

1 answer:

dangina [55]3 years ago

5 0

Answer:

0.55555555555555555555555555556

<em>(The 5 is repeating, so I rounded the last digit to 6.)</em>

Step-by-step explanation:

Divide 5/9. You get 0.5555... and the 5 is repeating.

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Given the Homogeneous equation x^2ydy+xy^2dx=0, use y=ux, u=y/x and dy=udx+xdu to solve the differential equation. Solve for y.

scZoUnD [109]

Answer:

$y=\frac{C}{x}$ .

Step-by-step explanation:

Given homogeneous equation

$x^2ydy+xy^2dx=0$

$\frac{\mathrm{d}y}{\mathrm{d}x}=-\frac{xy^2}{x^2y}$

Substitute y=ux , $u=\frac{y}{x}$

$\frac{\mathrm{d}y}{\mathrm{d}x}=-\frac{y}{x}$

Now,

$u+x\frac{\mathrm{d}u}{\mathrm{d}x}=\frac{\mathrm{d}y}{\mathrm{d}x}$

$u+x\frac{\mathrm{d}u}{\mathrm{d}x}=-u$

$\frac{\mathrm{d}u}{\mathrm{d}x}=-2u$

$\frac{du}{u}=-\frac{dx}{x}$

Integrating both side we get

lnu=-2lnx+lnC

Where lnC= integration constant

$lnu+ln{x}^2=lnC$

$lnux^2=lnC$

Cancel ln on both side

$ux^2=C$

Substitute $u=\frac{y}{x}$

Then we get

xy=C

$y=\frac{C}{x}$ .

Answer: $y=\frac{C}{x}$ .

8 0

3 years ago

Four times a number, minus 6, is equal to three times the number, plus 8

djyliett [7]

Answer:

let the number be x

4x-6=3x+8

Step-by-step explanation:

hope this helps you

If yes then do mark my answer as brainliest

8 0

3 years ago

Read 2 more answers

Consider the right angle shown below

atroni [7]

Answer:

Part A:

given that cos β = 3/5

that means the base line is 3 and the hypotenuse is 5

Note that, The base line 3 is adjacent to β and opposite to α.

Sin α = opposite / adjacent

sin α = 3 /5

Part B:

α and β are complementary angles

8 0

3 years ago

Write a linear equation in slope- intercept form given 2x +5y =35

prohojiy [21]

Answer:

(0,−7)

Explanation:

To find the y-intercept of an equation, set x equal to 0 and solve: In the case of 2x−5y=35, let's replace all instances of x in the equation with 0 and solve for y: 2(0)−5y=35−5y=35−5y−5=35−5

y=−7

Thus, the y-intercept is at (x y)=

(0,−7).

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3 years ago

Jonah and his brother want to earn at least $400 this month, so they rented a lawn mower to mow lawns. They plan to charge $25 p

Travka [436]

Answer:

20 lawns

Step-by-step explanation:

25x4=100(duh) (16)

100x4=400(duh)

m=20

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3 years ago