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pychu [463]
3 years ago
12

Which expression is equivalent to (4x^(3)y^(5))(3x^(5)y)^(2)

Mathematics
1 answer:
marshall27 [118]3 years ago
8 0

Answer:

(4x^3y^5)(3x^5y)^2 = 36*x^{13}y^7

Step-by-step explanation:

Given

(4x^3y^5)(3x^5y)^2

Required

The equivalent expression

We have:

(4x^3y^5)(3x^5y)^2

Expand

(4x^3y^5)(3x^5y)^2 = 4x^3y^5*9x^{10}y^2

Further expand

(4x^3y^5)(3x^5y)^2 = 4*9*x^3*x^{10}y^5*y^2

Apply laws of indices

(4x^3y^5)(3x^5y)^2 = 36*x^{13}y^7

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Answer:

C. 7 quarts 3 cups

Step-by-step explanation:

First you add 4 quarts, with 3 quarts to get 7 quarts. Then, you add 1 cup with 2 cups to get 3 cups.

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How many solutions are there for the system shown below?<br> 2x² + y2 = 33<br> x2 + y + 2y=19
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3 0
3 years ago
The rectangle shown represents the base of a cracker box shaped like a rectangular prism. Use the ruler provided to measure the
malfutka [58]

There is no rectangle shown, nor ruler given to measure and attempt your work. Nevertheless, I will illustrate how to find the volume of a rectangular prism.

Step-by-step explanation:

Given a rectangular prism of sides

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V = l × b × h.

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7 0
2 years ago
Item 8
ludmilkaskok [199]
So, I didn't quite understand your question clearly, but I'll try my best to answer it.

So, the first question is quite simple: Did the runner have a % decrease in his time or an increase.
Well, 7:45 is minor than 5:51. So, his time decreased.

2nd question:
The percent of change. Well, first things first 7:45 has 2 different units, wich are minutes and seconds, I suppose. Same goes for 5:51.
So let's put everything in seconds. multiply both the 7 and 5 for 60(for every minute has 60 seconds.)

That means:
7*60= 420+45 = 465.
5*60=300+51=351.

Now, let's do the math itself:
465 -> 100%
351 -> x%
 Is equal to about  75,5%
How much did it decrease then?
(75,5-100)%= 24,5%, approximately

8 0
3 years ago
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