2 years ago

Find a counterexample to show the conjecture is false

Mathematics

1 answer:

EleoNora [17]2 years ago

8 0

Answer:

Step-by-step explanation:

If two angles are supplement of each other then one of the angles must be acute

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Madison gets a 2% raise every year. She made a salary of $54,000 this year how much will she make next year.

ZanzabumX [31]

Answer:

55080

Step-by-step explanation:

She makes 54,000 this year

she gets a 2% raise

her increase will be

54000*.02 =1080

The new salary will be

54000+1080

55080

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2 years ago

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A brick of mass 4 kg hangs from the end of a spring. When the brick is at rest, the spring is stretched by 3 cm. The spring is t

Zielflug [23.3K]

Answer:

Step-by-step explanation:

In this system we have the force of the spring and the gravitational force. The equation that describes that is

$F_{s}+F{g}=ma\\k(y_0+y)-mg=ma$

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$ky_0+ky-mg=ma\\mg+ky-mg=ky=ma\\\\ky=m\frac{d^2y}{dt^2}\\\\my''+ky=0$

the solution for this differential equation is (by using the characterisic polynomial)

$y(x)=Acos(kt)+Bsin(kt)\\k=\omega^2m$

hope this helps!!

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3 years ago

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Find the power of <img src="https://tex.z-dn.net/?f=%20%5Cfrac%7B3%7D%7B8%7D%20" id="TexFormula1" title=" \frac{3}{8} " alt=" \f

Svetradugi [14.3K]

$\sf Hello!$

$\sf Since,$

$(\dfrac{\sf a}{\sf b})^{\sf n}$ = $\dfrac{\sf a^{n}}{\sf b^{n}}$

$\sf Then,$

$(\dfrac{\sf 3}{\sf 8})^{\sf 3}$ = $\dfrac{\sf 3^{3}}{\sf 8^{3}}$ = $\dfrac{\sf 27}{\sf 512}$

~ $\sf iCarl$