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3 years ago

WILL GIVE BRAINLIEST ANSWER TO WHOEVER ANSWERS FIRST

Mathematics

1 answer:

NNADVOKAT [17]3 years ago

7 0

Answer:

Step-by-step explanation:

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Huan's wage is £10.40 per hour l. he receives a 10% pay rise

r-ruslan [8.4K]

Answer:

Step-by-step explanation:

10% of 10.40=1.04

10.40+1.04=11.44

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2 years ago

The sum of two consecutive odd integers is 244. what is the smaller integer? 119 125 123 121

Alexus [3.1K]

Solve is in the picture

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3 years ago

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What are the solutions to the following equation?

gregori [183]

Answer: -8.5

Step-by-step explanation:

I got it right on edg

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3 years ago

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A social networking site recorded that 80 per-cent of people who became members of the site one month were between 30 and 40 yea

77julia77 [94]

Answer:

x=360 30-40 yrs =288

Step-by-step explanation:

multiple 72 by .05 (36) to find 10 percent, then multiple 80 percent by that number(36) then add both numbers together to get total number of members that month

(72x.05)=36x2+(.80x36)=288

288+72=360

3 0

3 years ago

In this problem we consider an equation in differential form Mdx+Ndy=0. (4x+2y)dx+(2x+8y)dy=0 Find My= 2 Nx= 2 If the problem is

zheka24 [161]

Answer:

$f(x,y)=2x^2+4y^2+2xy=C_1\\\\Where\\\\y(x)=\frac{1}{4} (-x\pm \sqrt{-7x^2+C_1} )$

Step-by-step explanation:

Let:

$M(x,y)=4x+2y\\\\and\\\\N(x,y)=2x+8y$

This is and exact equation, because:

$\frac{\partial M(x,y)}{\partial y} =2=\frac{\partial N}{\partial x}$

So, define f(x,y) such that:

$\frac{\partial f(x,y)}{\partial x} =M(x,y)\\\\and\\\\\frac{\partial f(x,y)}{\partial y} =N(x,y)$

The solution will be given by:

$f(x,y)=C_1$

Where C1 is an arbitrary constant

Integrate $\frac{\partial f(x,y)}{\partial x}$ with respect to x in order to find f(x,y):

$f(x,y)=\int\ {4x+2y} \, dx =2x^2+2xy+g(y)$

Where g(y) is an arbitrary function of y.

Differentiate f(x,y) with respect to y in order to find g(y):

$\frac{\partial f(x,y)}{\partial y} =2x+\frac{d g(y)}{dy}$

Substitute into $\frac{\partial f(x,y)}{\partial y} =N(x,y)$

$2x+\frac{dg(y)}{dy} =2x+8y\\\\Solve\hspace{3}for\hspace{3}\frac{dg(y)}{dy}\\\\\frac{dg(y)}{dy}=8y$

Integrate $\frac{dg(y)}{dy}$ with respect to y:

$g(y)=\int\ {8y} \, dy =4y^2$

Substitute g(y) into f(x,y):

$f(x,y)=2x^2+4y^2+2xy$

The solution is f(x,y)=C1

$f(x,y)=2x^2+4y^2+2xy=C_1$

Solving y using quadratic formula:

$y(x)=\frac{1}{4} (-x\pm \sqrt{-7x^2+C_1} )$

4 0

3 years ago