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guapka [62]
3 years ago
9

Convert to standard form. 4 hundred thousand 16 thousands 4 hundred 21 tens 12 ones

Mathematics
1 answer:
RoseWind [281]3 years ago
4 0

Step-by-step explanation:

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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
3 years ago
Can someone please help me :) (it’s a picture)
Lemur [1.5K]

Answer:

y-1=5(x+6)

Step-by-step explanation:

Point slope:

(y-y1)=slope(x-x1)

y-1=5(x+6)

Hope this helps!

4 0
3 years ago
Read 2 more answers
Write n^4 • n^3 without exponents
Elis [28]

Answer:

n*n*n*n*n*n*n

Step-by-step explanation:

n^4 * n^3 = n^7 = n*n*n*n*n*n*n

8 0
3 years ago
W = 3x + 7y solve for y
mario62 [17]

Answer:

The value of the equation y=\frac{W-3x}{7}.

Step-by-step explanation:

Consider the provided equation.

W = 3x + 7y

We need to solve the provided equation for y.

Subtract 3x from both side.

W-3x= 3x-3x+ 7y

W-3x=7y

Divide both sides by 7.

\frac{7y}{7}=\frac{W-3x}{7}

y=\frac{W-3x}{7}

Hence, the value of the equation is y=\frac{W-3x}{7}.

8 0
3 years ago
I need help with this question please
Novay_Z [31]
I think the answer is 80 because I’m point 2 it’s is 40 and in point 3 is 60 and in point 5 is 100 so I am guessing each goes by 20 so what is between 60 and 100 if you can’t by 20s would be 80 I don’t know if I am correct tho
4 0
3 years ago
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