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Annette [7]
3 years ago
9

D = {x|x is a whole number}

Mathematics
1 answer:
pickupchik [31]3 years ago
4 0

The given statement is true.

Step-by-step explanation:

Given sets are:

D = {x|x is a whole number}

E = {x|x is a perfect square between 1 and 9}

F = {x|x is an even number greater than or equal to 2 and less than 9}

as the sets are given in set builder notation,, we will first write the sets in set notation.

So,

D = {0,1,2,3,4,...}

E = {4,9}

F = {2,4,6,8}

Now,

EUF = {4,9} U {2,4,6,8}

= {2,4,6,8}

Hence,

The given statement is true.

Keywords: Union,sets

Learn more about sets at:

  • brainly.com/question/9381523
  • brainly.com/question/9231234

#LearnwithBrainly

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Please help! & don’t answer with “don’t know the answer”
ValentinkaMS [17]

Answer:

c

Step-by-step explanation:

x+x=90

2x=90 ,x=45 ,∆BAD=45

8 0
3 years ago
Solve 7x - 8 = 3x + 40
Contact [7]

Answer:

7x-8=3x+40\\7x-3x=40+8\\4x=48\\x=12

4 0
3 years ago
Read 2 more answers
Which of the following are solution to 2X squared minus 8X -90
svetlana [45]

Answer:

2(x+5)*(x-9)

Step-by-step explanation:

4 0
3 years ago
2
Zigmanuir [339]

Answer:

The weight of the water in the pool is approximately 60,000 lb·f

Step-by-step explanation:

The details of the swimming pool are;

The dimensions of the rectangular cross-section of the swimming pool = 10 feet × 20 feet

The depth of the pool = 5 feet

The density of the water  in the pool = 60 pounds per cubic foot

From the question, we have;

The weight of the water in Pound force = W = The volume of water in the pool given in ft.³ × The density of water in the pool given in lb/ft.³ × Acceleration due to gravity, g

The volume of water in the pool = Cross-sectional area × Depth

∴ The volume of water in the pool = 10 ft. × 20 ft. × 5 ft. = 1,000 ft.³

Acceleration due to gravity, g ≈ 32.09 ft./s²

∴ W = 1,000 ft.³ × 60 lb/ft.³ × 32.09 ft./s² = 266,196.089 N

266,196.089 N ≈ 60,000 lb·f

The weight of the water in the pool ≈ 60,000 lb·f

6 0
2 years ago
The following data are the distances between 20 retail stores and a large distribution center. The distances are in miles.
Free_Kalibri [48]

Answer:

1191.4 ; 34.5

Step-by-step explanation:

Given the data:

29; 37; 38; 40; 58; 67; 68; 69; 76; 86; 87; 95; 96; 96; 99; 106; 112; 127; 145; 150

The sample variance and standard deviation can be obtained thus :

Σ(X - m)² / (n - 1)

Where, m = mean of the sample

n = sample size

The standard deviation equals, sqrt(variance )

Using a calculator:

The variance, σ² ;

Mean = Σx / n = 1681 / 20 = 84.05

(x -m)^2

[(29-84.05)^2 + (37-84.05)^2 + (38-84.05)^2 + (40-84.05)^2 + (58-84.05)^2 + (67-84.05)^2 + (68-84.05)^2 + (69-84.05)^2 + (76-84.05)^2 + (86-84.05)^2 + (87-84.05)^2 + (95-84.05)^2 + (96-84.05)^2 + (96-84.05)^2 + (99-84.05)^2 + (106-84.05)^2 + (112-84.05)^2 + (127-84.05)^2 + (145-84.05)^2 + (150-84.05)^2] / 19

22636.95 / 19

= 1191.4184 = 1191.42

Standard deviation = sqrt( Variance)

Standard deviation = sqrt(1191.4184)

Standard deviation = 34.516929 = 34.52

4 0
3 years ago
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