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3 years ago

If p(x) = ab^x and r(x) = cd^x, then p(x) * r(x) equals

Mathematics

1 answer:

Studentka2010 [4]3 years ago

4 0

p(x) * r(x) = ab^x * cd^x

p(x) * r(x) = (a*c)*(b^x*d^x)

p(x)*r(x) = ac(bd)^x

For the last step, I used the rule that (ab)^x = a^x*b^x

<h3>Final Answer: ac(bd)^x</h3>

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What is the constant of proportionality for y=-5x ?

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2 years ago

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2 years ago

diego has 90 songs on his playlist. how many songs are there for each genre ? 40% rock , 10% country , 30% hip hop , the rest is

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Answer:

Diego playlist has 36 songs in rock genre, 9 songs in Country genre, 27 songs in hip hop genre and 24 songs in electronica genre.

Step-by-step explanation:

Given:

Total Songs on playlist = 90

rock = 40%

country = 10%

hip hop = 30%

rest is electronica.

We need to find the number of songs in each genre.

rock = 40%

So Number of songs in rock genre = $\frac{40}{100}\times90 = 36\ songs$

country = 10%

So Number of songs in country genre = $\frac{10}{100}\times90 = 9\ songs$

hip hop = 30%

So Number of songs in hip hop genre = $\frac{30}{100}\times90 = 27\ songs$ .

and rest is electronica genre.

Number of songs in electronica genre can be calculated by Subtracting Number of songs in rock genre and Number of songs in country genre and

Number of songs in hip hop genre from Total number of songs.

framing in equation form we get;

Number of songs in electronica genre = $90-30-9-27 = 24\ songs$

Hence Diego playlist has 36 songs in rock genre, 9 songs in Country genre, 27 songs in hip hop genre and 24 songs in electronica genre.

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2 years ago

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