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enot [183]
3 years ago
11

What value of n makes the equation true?

Mathematics
2 answers:
kotykmax [81]3 years ago
6 0

Answer:

n = 10

Step-by-step explanation:

(2x⁹yⁿ) * (4x²y¹⁰) = 8 x¹¹ y²⁰

use the rules of exponents to simplify the expression.

2¹ x⁹ yⁿ * 4¹ x² y¹⁰

use the commutative property of multiplication

2¹ * 4¹ x⁹ x² yⁿ y¹⁰

add exponents of the same base:

8 x⁹ ⁺ ²  y ⁿ ⁺ ¹⁰

back to original equation:

8 x⁹ ⁺ ²  y ⁿ ⁺ ¹⁰ =  8 x¹¹ y²⁰

therefore

the value of n = 10

goldenfox [79]3 years ago
4 0

Answer:

n=10

Step-by-step explanation:

You need n to be 10 because: y^20= (y^10)^2

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Answer:

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Number of people using gym and pool (G∩P) = 19

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We will plug in the values of probabilities of each event in the formula.

P(GUPUT) = \frac{73}{135}+\frac{59}{135}+\frac{31}{135}-\frac{19}{135}-\frac{9}{135}-\frac{16}{135}+\frac{4}{135}

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= 1 - \frac{123}{135}

= \frac{135-123}{135}

= \frac{12}{135}

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