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Dahasolnce [82]
3 years ago
13

Which is bigger 6400km or 4300000m? By know much? Explain your answer?

Mathematics
1 answer:
never [62]3 years ago
6 0

Answer:

6400km

Step-by-step explanation:

Because 4300000m = 4300km

6400 km > 4300 km

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Simplify this expression: (-2 - 8x) + (-4x - 10)
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Answer:

The simplified form of expression<u> </u>(-2 - 8x) + (-4x - 10) is

-12(x + 1)

Step-by-step explanation:

It is given an expression (-2 - 8x) + (-4x - 10)

<u>To find the simplified expression of (-2 - 8x) + (-4x - 10)</u>

Let expression is given by

(-2 - 8x) + (-4x - 10) = -2 - 8x -4x -10

     = -2 -10 -4x -8x

     = -12 -12x

     -12(x + 1)   (since -12 is common in both terms)

Therefore simplified form is  -12(x + 1)

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Let y′′′−9y′′+20y′=0. find all values of r such that y=erx satisfies the differential equation. if there is more than one correc
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we are given

differential equation as

y'''-9y''+20y'=0

we are given

y=e^{rx}

Firstly, we will find y' , y'' and y'''

those are first , second and third derivative

First derivative is

y'=re^{rx}

Second derivative is

y''=r*re^{rx}

y''=r^2e^{rx}

Third derivative is

y'''=r^2*re^{rx}

y'''=r^3e^{rx}

now, we can plug these values into differential equation

and we get

r^3 e^{rx}-9r^2 e^{rx}+20re^{rx}=0

now, we can factor out common terms

e^{rx}(r^3 -9r^2 +20r)=0

we can move that term on right side

(r^3 -9r^2 +20r)=0

now, we can factor out

r(r^2 -9r +20)=0

r(r-5)(r-4)=0

now, we can set them equal

r=0

r-5=0

r=5

r-4=0

r=4

so, we will get

r=0,4,5...............Answer

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