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Rus_ich [418]
3 years ago
14

If you know that log5 (2) - log5 (12) = 0, which of the following is false?

Mathematics
1 answer:
garri49 [273]3 years ago
8 0

Answer:

B

Step-by-step explanation:

A is correct because log_5(12) was added on both sides, which is supported by the Additive Property of Equality

C is correct because the Quotient Property of Logarithms states that log_bM-log_bN=log_b(\frac{M}{N} )

   so log_5(x)-log_5(12)=log_5(\frac{x}{12} ) is correct

D is correct because using the fact that log_5x=log_512 it is easy to figure out that x=12

For B, there is no property supporting that statement.

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Analyze the diagram below and answer the question that follows
laiz [17]

Answer:

C. 40.2°

Step-by-step explanation:

Cosine rule (real handy to remember): c² = a² + b² - 2·a·b·cos(γ)

If you don't know this yet, look it up but in short: c, a and b are the lengths of the sides of the triangle, the angle opposite side a is called α, for b it is β and for c it is γ. That's the convention I've always used anyway, you can call them whatever of course. Anyhow:

c² = a² + b² - 2·a·b·cos(γ)

⇒ |AC|² = |AB|²+|BC|²-2·|AB|·|BC|·cos(∠B)

⇒ |AC|²-|AB|²-|BC|² = -2·|AB|·|BC|·cos(∠B)

⇒ ( |AC|²-|AB|²-|BC|² ) / ( -2·|AB|·|BC| ) = cos(∠B)

⇒ ∠B = arccos( ( |AC|²-|AB|²-|BC|² ) / ( -2·|AB|·|BC| ) )

         = arccos( ( 11²-16²-16² ) / ( -2·16·16 ) )

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6 0
2 years ago
The regular tax to be paid with any purchase is 8%. How much tax did Anthony pay if he bought school supplies worth ₱5 000?​
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Answer:

400

Step-by-step explanation:

8% of 5000 is 400. Math:

5000 x 0.08 = 400

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Are the events of drawing a rook from the bag of white
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Answer:

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What we must take into account is that they are 2 different bags, because in one bag are the black pieces and in another bag are the white feed, regardless of which piece is removed, one event has nothing to do with the other event being different bags.

Which means that they are independent events.

And the probability for each case would be 1/16, because the probability is one piece out of 16 that is in each bag.

5 0
3 years ago
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