3 years ago

Find the probability of spinning a 2 and rolling a 3.

Mathematics

1 answer:

storchak [24]3 years ago

3 0

Answer:

Step-by-step explanation:

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How many terms are in the expression shown? 2n + 5 – 3p + 4n 1 2 3 4

Temka [501]

The answer is 3 terms in the expression. Hope it helps!

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3 years ago

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What simplified ratio correctly compares 24 months to 3 years? Drag and drop the appropriate numbers into the boxes. :

Ilia_Sergeevich [38]

Answer:

2:3

Step-by-step explanation:

First convert years to months: 3 years = 36

24:36

Then simplify the ratio

24:36

24/2:36/2

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Answer: 2:3

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Use DeMoivre's theorem to evaluate the expression

natima [27]

Answer:

B. $\dfrac{9}{2}-i\dfrac{9\sqrt{3}}{2}$

Step-by-step explanation:

DeMoivre's theorem:

If the complex number $z=r(\cos \alpha+i\sin\alpha),$ then for natural number n

$z^n=r^n(\cos n\alpha+i\sin n\alpha).$

In your case,

$z=\sqrt{3}\left(\cos\dfrac{5\pi}{12}+i\sin\dfrac{5\pi}{12}\right)$

and you have to evaluate $z^4.$

By DeMoivre's theorem,

$z^4=(\sqrt{3})^4\left(\cos 4\cdot \dfrac{5\pi}{12}+i\sin 4\cdot \dfrac{5\pi}{12}\right)=9\left(\cos \dfrac{5\pi}{3}+i\sin\dfrac{5\pi}{3}\right)=9\left(\dfrac{1}{2}-i\dfrac{\sqrt{3}}{2}\right)=\dfrac{9}{2}-i\dfrac{9\sqrt{3}}{2}.$

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3 years ago

Factorizing as the Difference of Two Squares 1. 144x2 - 49

igor_vitrenko [27]

Answer:

Factorizing as the Difference of Two Squares

1. 144x2 - 49

Step-by-step explanation:

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3 years ago

Income tax paid to the federal government is based on your _______________.

Kryger [21]

Answer: C final income

Step-by-step explanation: I might be wrong but im pretty sure that its C.

Good Luck!

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