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4 years ago

Explain how you could use the distributive property and mental math to find 5x198

1 answer:

5 0

You have to break up the number into hundreds, tens, and ones then add their products together

5*100=500
5*90=450
5*8=40

500+450+40=990

5*198=990

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Tanner has five shelves in his bedroom.he has 235 books and wants to put 45 books on eacg shelf.any extra books will go on his n

Alexandra [31]

Answer:

10 books

Step-by-step explanation:

5 shelves and 45 books on each of those shelves equals 225. 235 minus 225 is equal to 10 books.

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4 years ago

Solve the following equation. x 6 = x x

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Do u mean 6x = x squared? if so x is 6

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4 years ago

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Svetllana [295]

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3 years ago

X ^ (2) y '' - 7xy '+ 16y = 0, y1 = x ^ 4

nignag [31]

Standard reduction of order procedure: suppose there is a second solution of the form $y_2(x)=v(x)y_1(x)$ , which has derivatives

$y_2=vx^4$
${y_2}'=v'x^4+4vx^3$
${y_2}''=v''x^4+8v'x^3+12vx^2$

Substitute these terms into the ODE:

$x^2(v''x^4+8v'x^3+12vx^2)-7x(v'x^4+4vx^3)+16vx^4=0$
$v''x^6+8v'x^5+12vx^4-7v'x^5-28vx^4+16vx^4=0$
$v''x^6+v'x^5=0$

and replacing $v'=w$ , we have an ODE linear in $w$ :

$w'x^6+wx^5=0$

Divide both sides by $x^5$ , giving

$w'x+w=0$

and noting that the left hand side is a derivative of a product, namely

$\dfrac{\mathrm d}{\mathrm dx}[wx]=0$

we can then integrate both sides to obtain

$wx=C_1$
$w=\dfrac{C_1}x$

Solve for $v$ :

$v'=\dfrac{C_1}x$
$v=C_1\ln|x|+C_2$

Now

$y=C_1x^4\ln|x|+C_2x^4$

where the second term is already accounted for by $y_1$ , which means $y_2=x^4\ln x$ , and the above is the general solution for the ODE.

4 0

3 years ago

Ile to 12308+11093=??????pomóżcie

BARSIC [14]

Answer:

Twoja odpowiedź brzmi 23401.

Spójrz na zdjęcie, aby uzyskać dalsze wyjaśnienia.

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3 years ago