3 years ago

(0.2m^2n)^3 *1000m^4n^7 simplify

Mathematics

1 answer:

mina [271]3 years ago

6 0

Answer: 8m^10n^10

Thats the answer i hope i was helpful!

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What is the area of this composite figure?

VLD [36.1K]

Answer:

36.56

Step-by-step explanation:

the area of a circle is r^2×pi (here 2^2×pi) then add the area of the middle rectangle (so 4×6)

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2 years ago

1/2(4x-2)-2/3(6x+9) greater or equal to 4

Simora [160]

1/2(4x-2)-2/3(6x+9)
(2x-1)-(4x+6)
2x-1-4x+62x-4x-1+6
-2x+5=2.5
So I believe that it is greater than 4

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4 years ago

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

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

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

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

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

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

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

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3 years ago

How long will it take Karen to drive 975 miles, if her average speed is 65 miles per hour? Write a formula

irga5000 [103]

It'll take her 15 hours.
Formula: 975= 65x
Where x represents hours

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3 years ago

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Add. Simplify your answer, 3/10 + 5/10

Oksanka [162]

So it would equal to 8/10 and divide by 2 which you would get 4/5

8 0

4 years ago

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