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Gekata [30.6K]
3 years ago
12

Simplify the expressions by applying the properties of potentiation...​

Mathematics
2 answers:
yanalaym [24]3 years ago
8 0

hope this helps

Step-by-step explanation:

have a good day ❣️✌️

STatiana [176]3 years ago
7 0

Answer:

\dfrac{x^5}{y^{10}}

Step-by-step explanation:

\dfrac{x^2y^{-6}}{x^{-3}y^4} =

= x^{2 - (-3)}y^{-6 - 4}

= x^5y^{-10}

= \dfrac{x^5}{y^{10}}

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A frequency distribution lists the _________ of occurrences of each category of​ data, while a relative frequency distribution l
Tanzania [10]

Answer:

A frequency distribution lists the<u> number</u> of occurrences of each category of​ data, while a relative frequency distribution lists the <u>proportion</u> of occurrences of each category of data.

Explanation:

A "frequency distribution" is one of the ways in organizing a data, either by <em>listing the information, putting them in a table or showing them in a graph.</em> The items in the list (distinct values) are then counted when it comes to the number of times they've occurred.

Thus, this explains the first answer, "number."

On the other hand, a "relative frequency distribution" refers to the proportion of the overall number of observations in a particular category.  <u>You can get this by dividing each frequency with the total number of data in a sample.</u>

Thus, this explains the second answer, "proportion."

8 0
3 years ago
A company has 200 employees. The company’s owner randomly chose 30 employees for an in-depth survey. Of those surveyed, 12 emplo
andrey2020 [161]
(this shows the percent of people that would work over time on a regular basis out of the 30 people) 12/30= (40%) of the 30 said they would work overtime.

200×.4=80 employees of the 200 would have probably have said they would work overtime.
8 0
3 years ago
Examine the equation.
Sedbober [7]

♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️

- 3x + 18 = 7x

7x =  - 3x + 18

Add sides 3x

+ 3x + 7x =  + 3x - 3x + 18

10x = 18

♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️

5 0
3 years ago
Read 2 more answers
7. a hockey arena has 10 920 seats. the first row of seats around the rink has 220 seats. the number of seats in each subsequent
Mazyrski [523]

The number of rows in the arena is 26

<h3>How to determine the number of rows?</h3>

The hockey arena illustrates an arithmetic sequence, and it has the following parameters:

  • First term, a = 220
  • Sum of terms, Sn = 10920
  • Common difference, d = 16

The number of rows (i.e. the number of terms) is calculated using:

S_n = \frac{n}{2}(2a + (n -1) * d)

So,we have:

10920 = \frac{n}{2}(2 * 220 + (n -1) * 16)

Evaluate the terms and factors

21840 = n(440 + 16n -16)

Evaluate the like terms

21840 = n(424+ 16n)

Expand

21840 = 424n + 16n^2

Rewrite as:

16n^2 + 424n - 21840 = 0

Using a graphical tool, we have:

n = 26

Hence, the number of rows in the arena is 26

Read more about arithmetic sequence at:

brainly.com/question/6561461

#SPJ1

4 0
2 years ago
Mack wrote the equation x² + 7x + 84 = x² + 13x + 30 to show that the area of a changed rectangle is 84 ft² greater than the are
Sliva [168]
3 was added to each side (K12)
4 0
3 years ago
Read 2 more answers
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