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asambeis [7]
2 years ago
5

Z varies directly as x^3 and inversely as y^3. If z=167 when x = 3 and y=10, find z if X=4 and y=6

Mathematics
1 answer:
Liula [17]2 years ago
8 0

Answer is 1832.7

step by step

z=kx^3 / y^3

167=27k/1000

k=16700/27

k=6185.2, then

z=6185.2×4^3/6^3

z=6185.2×64/216

z=1832.7

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Ostrovityanka [42]

Answer:

<h3>             m∠B = 26°</h3>

Step-by-step explanation:

∠A and ∠B being complementary means  m∠A + m∠B = 90°

4x + 24 + 3x - 4 = 90

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m∠B = (3•10 - 4)° = 26°

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A card is drawn from a well-shuffled deck of 52 cards. What is the probability of getting a red 10?
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Answer:

1/13

Step-by-step explanation:

<em>Knowing that:</em>

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<em>Also means 52/2 = 26</em>

<em> There are 2 red 10 in a deck of card.</em>

<em>Solve:</em>

<em>Since there are 2 red 10 in a deck of card and half of the deck of 52 card are red also known as 26.</em>

<em>Thus, the probability of getting a red 10 is 2/26. As you can see that not a answer choice. That because 2/26 is a even number as well as it means that it can be simplify.</em>

<em> GCD (or HCF) of 2 and 26 is 2.</em>

<em>Therefore, divide both by 2.</em>

<em>2/2 = 1</em>

<em>26/2 = 13</em>

<em>Hence, we can see that the simplify form is 1/13.</em>

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We can rewrite the expression as:

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\frac {56x ^ 2 * y * x ^ 5 * y ^ 3} {- 2x ^ 2 * y ^ 3} =

By definition of multiplication of powers of the same base, we place the same base and add the exponents:

\frac {56x ^ {2 + 5} * y ^ {1 + 3}} {- 2x ^ 2 * y ^ 3} =\\\frac {56x ^ {7} * y ^ {4}} {- 2x ^ 2 * y ^ 3} =

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