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3 years ago

Classify the figure in as many ways as possible.

Mathematics

1 answer:

Dima020 [189]3 years ago

3 0

The answer is D.

This figure has 4 sides which makes it a quadrilateral.

This figure has 2 sets of parallel sides which makes it a parallelogram.

This figure has 4 equal sides which makes it a rhombus.

This figure has 4 right angles which makes it a rectangle.

And this figure has both 4 equal sides and 4 equal angles which makes it a square.

To make it easier, all squares are: quadrilaterals, parallelograms, rhombuses, rectangles and of course squares.

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The diameter of the planet Mercury is 4.87×103 kilometers. The diameter of the planet Venus is 1.21×104kilometers. The diameter

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Answer: Venus

Step-by-step explanation:

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3 years ago

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Find a linear second-order differential equation f(x, y, y', y'') = 0 for which y = c1x + c2x3 is a two-parameter family of solu

Alisiya [41]

Let $y=C_1x+C_2x^3=C_1y_1+C_2y_2$ . Then $y_1$ and $y_2$ are two fundamental, linearly independent solution that satisfy

$f(x,y_1,{y_1}',{y_1}'')=0$
$f(x,y_2,{y_2}',{y_2}'')=0$

Note that ${y_1}'=1$ , so that $x{y_1}'-y_1=0$ . Adding $y''$ doesn't change this, since ${y_1}''=0$ .

So if we suppose

$f(x,y,y',y'')=y''+xy'-y=0$

then substituting $y=y_2$ would give

$6x+x(3x^2)-x^3=6x+2x^3\neq0$

To make sure everything cancels out, multiply the second degree term by $-\dfrac{x^2}3$ , so that

$f(x,y,y',y'')=-\dfrac{x^2}3y''+xy'-y$

Then if $y=y_1+y_2$ , we get

$-\dfrac{x^2}3(0+6x)+x(1+3x^2)-(x+x^3)=-2x^3+x+3x^3-x-x^3=0$

as desired. So one possible ODE would be

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(See "Euler-Cauchy equation" for more info)

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3 years ago

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B $25 is the answer

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3 years ago

Suppose you invested $1500 in an ac count that paid an annual of 3% compound monthly. How much would you have after 1 year?

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Answer:

1545.62

Step-by-step explanation:

The calculation of compound interests uses this formula:

Where A = total amount, P = principal or amount of money deposited, r = annual interest rate, n = number of times compounded per year and t = time in years.

So, if we plug-in the numbers of the problem we have:

Which gives us:

$A = 1500 * 1.0025^{12} = 1500 * 1.030416 = 1545.62$

For a grand total of 1,545.62 including capital and interests.

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3 years ago

Solve -4× - 8 - 2× = -6 + 3×

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Answer:

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