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Goshia [24]
3 years ago
9

What is the solution set of {x | x < -3} ∩ {x | x > 5}?

Mathematics
2 answers:
drek231 [11]3 years ago
7 0

The answer will be empty set

kvv77 [185]3 years ago
7 0
<h2>Answer:</h2>

The solution set of {x | x < -3} ∩ {x | x > 5} is:

           The empty set

<h2>Step-by-step explanation:</h2>

The first set is:

     {x | x < -3}

This means that the solution of this set is:  (-∞,-3)

and the second set is:

     {x | x > 5}

This means that the solution set is:  (5,∞)

Now, we know that intersection set contains the element that are common to both the set, i.e. it is a solution of first as well as second place.

Since, (-∞,-3)∩(5,∞)=∅

There no element which is common to both the set.

        Hence, the answer is:

             The empty set

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A cube has a volume of 64. What is the length of one side of the cube?
bearhunter [10]

Answer:

4

Step-by-step explanation:

The volume of a cube can be represented as s^3 = v, where s = side and v = volume. In this case, we're given the volume as 64, so s^3 = 64. To solve this problem, we first have to know what a cube root is.

What's a cube root?

  • The cube root of a number is the number you multiply by itself 3 times to get another number.
  • One common cube is 27, and the cube root of it is 3 because 3 x 3 x 3 = 27.

Given the information above, let's go in order with the list of cube roots to see which one has a cube of 64.

  • 1: 1 x 1 x 1 = 1.
  • 2: 2 x 2 x 2 = 8.
  • 3: 3 x 3 x 3 = 27.
  • 4: 4 x 4 x 4 = 64. (This is the cube root!)

We found the cube root of 64, or the side of the cube with a volume of 64. The side of the cube, therefore, is 4.

Have a lovely rest of your day/night, and good luck with your assignments! ♡

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2 years ago
Find slope of the line -12x+13y=-6
Burka [1]

Answer: 2 x - 3 y = 6 i think but let let me know if i'm wrong

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3 years ago
What is the mode of the following set of data? 34, 23, 12, 11, 11, 25, 25, 26, 25, 27, 30
Olin [163]
1 - B

Mode - The mode the number that appears most often in a data set. In this question, 25 was repeated 3 times and no other ones where repeated 3 times. Thats why 25 is the mode.

2 - D

Median - The middle number of a data set that is arranged from least to greatest.

3 - True

There is no mode because all of the numbers only appear once.

4 - A

5 - C

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Answer:

No x^3 times x^5 is not equal to x^15. It is equal to x^8

Step-by-step explanation:

x3x5

=x3*x5

=(x*x*x)*(x*x*x*x*x)

=x*x*x*x*x*x*x*x

=x8

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