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4 years ago

Select option that continues pattern? 3,-6,12,4,20

Mathematics

1 answer:

harkovskaia [24]4 years ago

4 0

The pattern is - 8 so the answer is 12.

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How to solve a problem.

mash [69]

a) $\log \left(\dfrac{A^3B}{C} \right) = 3\log A + \log B - \log C$

b) $\log \left(\dfrac{\sqrt{A}}{B^2} \right) = \frac{1}{2}\log A - 2\log B$

8 0

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

How do you do congruence and transformations

defon

I love this unit a-lot (super fun)

So Congruent/Congruence is, For example If you have two triangles on a coordinates grid with the same coordinates than that would mean they're congruent. Shortened down would be

Same shape same coordinates same dimension same size (same everything)

Transformations would be Rotating a shape clockwise(CW)...right) or counterclockwise(CC Left)

Or Dilation which is making the shape smaller or bigger based on a scale factor.

Or reflection

How you would perform Reflection is reflect the shape over either the X-axis
Or the Y-axis

How you would perform a Translation would be to literally move the shape right left up or down.

How you would perform a Dilation(scaling) would be to pick a scale factor and either decrease or increase the size of the shape according to the scale factor number

How you would perform a Rotation would be to pick a point of rotation (P.O.R) and then pick your measure º such as 90º clockwise and rotate accordingly.

Hope it helps :)

3 0

4 years ago

57 is the same as g and 231

vesna_86 [32]

57 is the same as g and 231.

We could also say that 57 is equal to g and 231.

57= g + 231

I hope this helps!
~kaikers

6 0

3 years ago

2m - 16 + 5m +45 ( NEEDING BIG HELP ON UNIT :) )

MaRussiya [10]

Answer:

7m + 29

Step-by-step explanation:

You add 2m and 5m to get 7m

Then add -16 and 45 to get 29

4 0

3 years ago