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USPshnik [31]
3 years ago
15

Please help, I need the answer ASAP! This is timed... Which expression is equivalent to 3x^-6y^-3 / 15x^2y^10 ? Assume x≠0, y≠0.

Mathematics
2 answers:
Ket [755]3 years ago
7 0

Answer:

1/(5x^8y^13)

Step-by-step explanation:

To simplify this exponential expression we must use some of the laws of exponents, specifically the quotient law.  The quotient law states that if the base is the same and you're dividing we subtract the exponents and so: \frac{a^m}{a^n}= a^{m-n}

Therefore:

\frac{3x^{-6}y^{-3}}{15x^2y^{10}} =\frac{x^{-6-2}y^{-3-10}}{5}=\frac{x^{-8}y^{-13}}{5}\\  \\\frac{1}{5x^8y^{13}}


Yakvenalex [24]3 years ago
3 0

Answer:

b

Step-by-step explanation:

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3 years ago
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(a) There are 1/4 cups of flour per serving

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(b) There are aprox. .18 cups of sugar per serving.

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(c) You need 2 1/4 cups of flour to make 9 servings

<u>Work:</u> 1.5/2=.75        1.5+.75=2.25=2 1/4 cups

(d) Someone would need to know the amount of sugar per serving to make the recipe accurate.

<em>Question 2</em>

(a) You're account is at $10 dollars

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6 0
2 years ago
Prove that \displaystyle \frac{\cos \theta}{1 + \sin \theta} = \frac{1 - \sin \theta}{\cos \theta}
Bogdan [553]

Answer:

sin^2(θ)+cos^2(θ)=1

Step-by-step explanation:

We know that the statement above is true because of the Pythagorean identity theorem, which states the aforementioned equation. If you solve the equation for 1 you get the same equation.

To do this first multiply both sides by cos(θ), this gives you (cos^2θ)/1+sinθ = 1-sinθ

Then, multiply both sides by sinθ. This equals cos^θ=1-sin^2θ.

Finally, add sin^2θ to both sides. This equals the final answer of cos^2θ+sin^2θ=1. Which is true.

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