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IrinaVladis [17]
4 years ago
12

X to the 5th power and y to the 6th power over xy to the 2nd power ​

Mathematics
1 answer:
never [62]4 years ago
6 0

\frac{x^5y^6}{(xy)^2}

\frac{x^5y^6}{x^2y^2}

x^{5-2}y^{6-2}

x^3y^4

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on a baseball diamond, Tom, Jerry,and Mark are each standing at different corners. The distance be tween tom and Jerry is 30 fee
Maksim231197 [3]

9514 1404 393

Answer:

  30√2 feet ≈ 42.4 feet

Step-by-step explanation:

If the right angle is at Jerry, then Jerry is at a base location between Tom and Mark. That is, Tom and Mark are at opposite corners of the diamond. The distance from Tom to Jerry is the length of one side of the square. Its diagonal is √2 times the side length, so ...

  the distance from Tom to Mark is 30√2 feet ≈ 42.4 feet

6 0
3 years ago
The pounds of produce purchased at a grocery store on Friday between 1:00 p.m. and 6:00 p.m. is
givi [52]

Answer:

The correct option is;

The first twenty-five customers

Step-by-step explanation:

For the given data, by calculation, we have;

The population average = 11.45

The average of the first five customers = 13.2

The average of the first ten customers = 11.6

The average of the first twenty customers = 12.5

The average of the first twenty-five customers = 11.72

Therefore both the first ten customers and the first twenty-five customers have good representation of the population mean with the mean of the first ten customers having a value of 11.6 is more closer to the population mean than the mean of the first twenty-five customers

However, by the central limit theorem, as the size of the sample continues to be increasingly larger, it becomes more and more representative of the population mean, this is more so because when the data is sorted, the population mean will be better represented by the mean of a large sample size

Hence the set of sample data needed to best represent the population mean is the first twenty-five customers.

7 0
3 years ago
What is the midpoint of AB with A(-1, 5) and B(6, -3) A (-4, 3.5) B (1, 2.5) C (2.5, 1) D (3.5, -4)
Alina [70]

Answer:

Option C (2.5, 1) is the right alternative.

Step-by-step explanation:

The given points are:

A = (-1, 5) = (x₁, y₁)

B = (6, -3) = (x₂, y₂)

Now,

The midpoint on X-axis is:

= \frac{x_1+x_2}{2}

= \frac{-1+6}{2}

= \frac{5}{2}

= 2.5

The midpoint on Y-axis is:

= \frac{y_1+y_2}{2}

= \frac{5+(-3)}{2}

= \frac{5-3}{2}

= \frac{2}{2}

= 1

Thus the midpoint of AB is "2.5, 1".

4 0
3 years ago
What is 6x – 8 = 4 written as a system? y = 6x – 8 y = –4 y = 6x – 8 y = 4 y = –6x + 8 y = 4
mestny [16]

6x – 8 = 4 written as a system. Hence second option is correct

<u>Solution:</u>

Given, equation is 6x – 8 = 4.

We have to find the equivalent system from given options.

First let us solve given equation, 6x – 8 = 4 ⇒ 6x = 4 + 8 ⇒ 6x = 12 ⇒ x = 2

Now, let us solve one by one option ,so that when we get above solution, that is correct option.

  • y = 6x – 8 and y = -4 ⇒ put y = -4 in y = 6x – 8 ⇒ 6x – 8 = -4 ⇒ 6x = 8 – 4

⇒ 6x = 4 ⇒ x ≠ 2, wrong option

  • y = 6x – 8 and y = 4 ⇒ put y = 4 in y = 6x – 8 ⇒ 6x – 8 = 4 ⇒ 6x = 8 + 4 ⇒ 6x = 12 ⇒ x = 2, right option.
  • y = -6x + 8 and y = 4 ⇒ put y = 4 in y = -6x + 8 ⇒ -6x + 8 = 4 ⇒ 6x = 8 – 4 ⇒ 6x = 4 ⇒ x ≠ 2, wrong option

hence, second option is correct.

6 0
4 years ago
Read 2 more answers
Given the functions, f(x) = x2 + 2 and g(x) = 4x - 1, perform the indicated operation. When applicable, state the domain restric
IRISSAK [1]

Answer:

4x2-7

Step-by-step explanation:

4(x2+2)-1=4x2+8-1=4x2=7

8 0
3 years ago
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