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DiKsa [7]
3 years ago
11

What does X equal to ?

Mathematics
1 answer:
Ierofanga [76]3 years ago
6 0

Answer:

x= 15

Step-by-step explanation:

We can use cross products to solve this problem

7     2x+5

-- = --------

3       x

7x = 3(2x+5)

Distribute

7x = 6x +15

Subtract 6x from each side

7x-6x = 6x-6x+15

x = 15

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The general solution of 2 y ln(x)y' = (y^2 + 4)/x is
Sav [38]

Replace y' with \dfrac{\mathrm dy}{\mathrm dx} to see that this ODE is separable:

2y\ln x\dfrac{\mathrm dy}{\mathrm dx}=\dfrac{y^2+4}x\implies\dfrac{2y}{y^2+4}\,\mathrm dy=\dfrac{\mathrm dx}{x\ln x}

Integrate both sides; on the left, set u=y^2+4 so that \mathrm du=2y\,\mathrm dy; on the right, set v=\ln x so that \mathrm dv=\dfrac{\mathrm dx}x. Then

\displaystyle\int\frac{2y}{y^2+4}\,\mathrm dy=\int\dfrac{\mathrm dx}{x\ln x}\iff\int\frac{\mathrm du}u=\int\dfrac{\mathrm dv}v

\implies\ln|u|=\ln|v|+C

\implies\ln(y^2+4)=\ln|\ln x|+C

\implies y^2+4=e^{\ln|\ln x|+C}

\implies y^2=C|\ln x|-4

\implies y=\pm\sqrt{C|\ln x|-4}

4 0
2 years ago
A grocer wants to make a 10-pound mixture of peanuts and cashews that he can sell for $4.75 per pound. If peanuts cost $4.00 per
ValentinkaMS [17]

Answer:

3lbs

Step-by-step explanation:

8 0
3 years ago
Angie sells blue and yellow balloons. For every 10 blue balloons that are sold, she sells 7 yellow balloons.
natulia [17]
The answer is 340-2=338; 338-100=
238
4 0
3 years ago
Read 2 more answers
What is the volume of the right triangular prism?( please input your answer as a number without a unit.)
77julia77 [94]

I hope this helps you

V=Base Area×Height

V=4.8/2×12

V=16×12

V=196

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3 years ago
What is 7/10 equivalent to write the answer in fractions
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7/10 is equivalent to 3.5/5 is one
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