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2 years ago

Write the following expression without negative exponents and without parentheses. 5x^-2

Mathematics

1 answer:

MissTica2 years ago

5 0

Solution:

5x^-2

5 * x^-2

5 * 1/x^2

5/x^2

Best of Luck!

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Simplify using trigonometric identities<br> 2sinθ - sin2θ cosθ

Anit [1.1K]

Double angle identity for sine:

$\sin(2x) = 2 \sin(x) \cos(x)$

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Factorize the left side.

$2 \sin(\theta) - 2 \sin(\theta) \cos^2(\theta) = 2 \sin(\theta) \left(1 - \cos^2(\theta)\right)$

Pythagorean identity:

$\cos^2(x) + \sin^2(x) = 1$

$\implies 2 \sin(\theta) \left(1 - \cos^2(\theta)\right) = 2 \sin^3(\theta)$

so that

$\boxed{2 \sin(\theta) - \sin(2\theta) \cos(\theta) = 2 \sin^3(\theta)}$

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1 year ago

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HACTEHA [7]

Answer:

31 batches

Step-by-step explanation:

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560/18

= 31.11

Since we can only have a whole number answer, round down.

So, he can make 31 batches of orange punch smoothies.

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2 years ago

When do we say that the computed solution or root of a quadratic equation is<br>extraneous?<br><br>

scoray [572]

Answer:

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Step-by-step explanation:

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2 years ago

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Answer:

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