Consider U = {x|x is a real number}. A = {x|x ∈ U and x + 2 > 10} B = {x|x ∈ U and 2x > 10} Which pair of statements is correct? 5 ∉ A; 5 ∈ B 6 ∈ A; 6 ∉ B 8 ∉ A; 8 ∈ B 9 ∈ A; 9 ∉ B

Answers

Answer 1

8 is not an element of set A since all the elements must be greater than 8. 8 ∉ A is correct.

Sets and values

Given the following set of values

U = {x|x is a real number}

A = {x|x ∈ U and x + 2 > 10}

B = {x|x ∈ U and 2x > 10}

The equivalent elements of the sets are:

U = {real numbers}

A = {x > 8}
B = {x > 5}

From the set above, we can see that 8 is not an element of set A since all the elements must be greater than 8.

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Answer 2

It's C. 8 ∉ A; 8 ∈ B


Related Questions

PLEASE HELP WILL MARK BRAINLIEST

Answers

Step-by-step explanation:

[tex]{ \tt{9 {x}^{2} + 11x + 5}} \\ = { \tt{(18x + 11i)(18x + 11i)}}[/tex]

For a certain triangle ABC, if a line intersects AC at D, intersects AB at E, and is parallel to CB, would the proportion AE | AD = EB | DC be accurate? Explain your answer.​

Answers

The given proportion of triangle ABC as AE/AD = EB/DC is; Not Accurate

Understanding Basic proportionality theorem(Thale's Theorem)

This theorem states that If a line is drawn parallel to one side of a triangle, then it cuts other two sides proportionally.

Thus, In ΔABC, DE || BC

By Thales theorem, we can say that;

AD/DB = AE/EC

Rearranging we can arrive at;

AE/AD = EC/DB

When we simplify further by adding 1 to both sides, we will get;

AD/AB = AE/AC

Thus, the given proportion is not accurate

Read more about Basic Proportionality Theorem at; https://brainly.com/question/14417137

Someone helppppp me on this math problem

Answers

Answer:

whats the problem? ill do my best to help

Step-by-step explanation:

Hope this helps! Plz give brainliest! Also, plz sub to Kgirl633 on yt.

plot the following points on a graph sheet. Verify if they lie on a line. A (1,3), B (3,5), C (4,6), D (6,8)​

Answers

Graph is attached

Hope this helps!

Consider the diagram below.
5.66
x
у
5.66
Z
Which of the following represent the values of x, y, and z to the nearest hundredth?

Answers

Answer:

Step-by-step explanation:

y² = 5.66 × 5.66 ⇒ y = 5.66

x = z = 5.66√2 ≈ 8.00

The values of x, y and z in the given triangle are 8, 5.66 and 8.

What are triangles?

Triangles are a type of a polygon having three sides and angles.

Given is a triangle, having some unknown variables, we need to find their values,

So,

According to the figure we can say that the triangle is an isosceles triangle because the median is perpendicular to the base and dividing it into equal parts.

Therefore,

y² = 5.66 × 5.66 ⇒ y = 5.66

x = z = 5.66√2 ≈ 8.00

Hence, the values of x, y and z in the given triangle are 8, 5.66 and 8.

Learn more about triangles, click;

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During a biology lab, students selected a flower to grow in a greenhouse. For the experiment, 4 students selected violets, 11
students selected lilies, and 3 students selected roses. If a single flower is picked at random, what is the probability that the
flower is a lily or a rose?
• Provide the final answer as a fraction.

Answers

Answer:

For the experiment, 4 students se students selected lies, and 3 students ... During a biology lab, students selected a flower to grow in a greenhouse.

Step-by-step explanation:

=
Given:
N = Natural number
| = Integer
Q = Rational number
Q' = Irrational number
R = Real number

The number
7/22
is in which of the sets N, I, Q, Q', R?

Answers

Answer:

  Q, R

Step-by-step explanation:

All of the listed sets of numbers are Real numbers. The fraction is not an integer, so is not in sets I or N. Because it is a fraction, it is in set Q, and because R includes Q, ...

  the number is in sets Q and R

Help please due today.

Which expression shows the length, BC, of the base of the stand?

A. 7 over tan 55 degrees

B. 7(cos 55 degrees)

C. 7 over sin 55 degrees

D. 7(tan 55 degrees)

Answers

Answer:

A) [tex]\frac{7}{tan55^\circ}[/tex]

Step-by-step explanation:

[tex]tan\theta=\frac{opposite}{adjacent}\\ \\tan55^\circ=\frac{7}{BC}\\ \\BC*tan55^\circ=7\\\\BC=\frac{7}{tan55^\circ}[/tex]

Georgia bought 10 meters of ribbon to make bows. Each bow requires 50 centimeters of ribbon. How many bows can Georgia make?

Answers

Answer:

Step-by-step explanation:

Find all real zeros of the function Y = -5x-7. a. -5. C. 7 5 7 b. -5, -7 d. 5 Please select the best answer from the choices provided СА B o 0 D​

Answers

The zeros of the function y = -5x - 7  is at x = -7/5

Linear equation

A linear equation is in the form:

y = mx + b

where y, x are variables, m is the rate of change (slope) and b is the y intercept.

Given the equation:

y = -5x - 7

The zeros of the function is at y = 0, hence:

0 = -5x - 7

-5x = 7

Dividing through by -5 gives:

x = -7/5

The zeros of the function y = -5x - 7  is at x = -7/5

Find out more on Linear equation at: https://brainly.com/question/13763238

Find the least common denominator. Then express each fraction using the least common denominator.
5/12 and 4/18

Answers

Answer:

5/12 = 15/364/18 = 8/36

Step-by-step explanation:

The least common denominator can be found as the product of the denominators, divided by their greatest common factor:

  LCD = (12)(18)/6 = 36

This is 3 times 12, so

  5/12 = (5/12)(3/3) = 15/36

and it is 2 times 18, so

  4/18 = (4/18)(2/2) = 8/36

The two fractions are ...

5/12 = 15/364/18 = 8/36

What is an equation of the line that passes through the points (-1, 3) and (-1, 6)?
just answer

Answers

Answer:

7x + 4y = 17

Step-by-step explanation:

Answer:

x = -1

Step-by-step explanation:

(6 - 3) / (-1 - -1) = 3/0 so there is no slope

so the equation is x = -1

Please Answer question…

Answers

Answer:

I believe the answer is 490.63.

Step-by-step explanation: Let me know if I'm wrong.

The difference of twice a number and 2 is at most 20. Use the variable w for the unknown number.​

Answers

Answer:

2w - 2 ≤ 20

Step-by-step explanation:

2w - 2 ≤ 20

Answer:

'w' are all values less than or equal to 11

Step-by-step explanation:

2w - 2 ≤ 20

2w ≤ 22

w ≤ 11

Lia scored 120 out of 250 in her exam , and Ash scored 170 out of 350 , who scored better ?​

Answers

Answer: Ash

Step-by-step explanation:

Convert both into a percentage so it is clearer

Lia- 48%

Ash- 48.57%

What is the equation of a line with a slope of -1 and a y-intercept of -5?

Answers

Answer:

equation: y = -x - 5

Step-by-step explanation:

using the formula: y = mx + b ..........where m is the slope and b is y-intercept

so the equation in slope intercept form will be: y = -1x -5

Find the sum of 3a 2 + 4b 2 , 4a 2 – 3b 2 + 2ab and -4a2 + 2b 2 – 6ab​

Answers

We have to find the sum of 3a² + 4b² , 4a² - 3b² + 2ab and - 4a² + 2b² - 6ab

Just add all these expressions and you will get your answer as ;

[tex]{:\implies \quad \sf (3a^{2}+4b^{2})+(4a^{2}-3b^{2}+2ab)+(-4a^{2}+2b^{2}-6ab)}[/tex]

[tex]{:\implies \quad \sf 3a^{2}+4b^{2}+4a^{2}-3b^{2}+2ab-4a^{2}+2b^{2}-6ab}[/tex]

Collect like terms ;

[tex]{:\implies \quad \sf (3a^{2}+4a^{2}-4a^{2})+(4b^{2}-3b^{2}+2b^{2})+(2ab-6ab)}[/tex]

[tex]{:\implies \quad \bf \therefore \quad \underline{\underline{Required\: \: Sum=3a^{2}+3b^{2}-4ab}}}[/tex]

Find the surface area

Answers

280 bro: area of cross section x length. REWARD ME

What is the value of x?
D
(2x)
E R
(4x + 10)
V
700

Answers

Step-by-step explanation:

180° = 2x + 70 + 4x + 10

180° = 2x + 4x + 70 + 10

180° = 6x+ 80

180 - 80 = 6x

100 = 6x

6x = 100

x = 16.66

x ≈ 17°

volume of a sphere when radius is 50

Answers

Answer:

Step-by-step explanation:

Givens

r = 50

Formula

V = 4/3 pi r^3

Solution

V = 4/3 * 3.14 * 50^3

V = 4.19 * 50^3

V = 4.19 * 125000

V = 523750

Describe how to determine the average rate of change between x = 1 and x = 3 for the function f(x) = 3x3 + 1. Include the average rate of change in your answer.

Answers

Answer:

147

Step-by-step explanation

Average rate of change of a function is determined using the formula, Given the function, f(x) = 3x³ + 2To find the average rate of change between x = 3 and x = 5, let:a = 3f(a) = f(3) = 3(3)³ + 2 = 83b = 5f(b) = f(5) = 3(5)³ + 2 = 377Plug in the values into the formulaAverage rate of change = 

Find the volume of the irregular
figure.
1 cm
4 cm
3 cm 1 cm
9 cm
?] cm
5 cm

Answers

Answer:

23 times 3 or just 23

ox

Step-by-step explanation:

If Rob can eat 8 munchkins in 20 minutes, how long would it take him to eat 20 munchkins.

Answers

50 minutes
He can 8 munchkins in 20min, so,
8 munchkins in 20
8 munchkins in 20
4 minchkins in 10 (half of the minchkins)

The answer is: Rob can eat 20 munchkins in 50 minutes…

I hope it can help you :)

Maggie has $16 to spend on lunch for the week she has already spent four dollars which inequality statement shows how much more money Maggie has left to spend for the week

Answers

Answer:

x ≤ $12

Step-by-step explanation:

Since Maggie has $16 to spend for the week, she can spend less than $16 or exactly $16. Thus, the inequality used would be ≤, which can be read as 'less than or equal to'.

Let the amount of money she has left to spend for the week be x.

Total spending for the week ≤ $16

$4 +spending for the rest of the week ≤ $16

$4 +x ≤ $16

Subtract both sides by $4:

x ≤ $16 -$4

x ≤ $12

what is the slope?

(2, -3)
(3, 3)

Answers

Answer:

6

Step-by-step explanation:

The slope is six
m=6

HELLO CAN SOMEONE PLEASE ANSWER THIS QUESTION ?

Answers

Answer:

c

Step-by-step explanation:

If f(x) = 2x − 5, then what is the value of f(4x − 1)?

Answers

Step-by-step explanation:

well, you put the input term into the place of the original variable (as with any actual constant value) :

f(4x-1) = 2(4x-1) - 5 = 8x - 2 - 5 = 8x - 7

we could call this now g(x) (= f(4x - 1)).

What is the horizontal and vertical shift for the absolute value function below? f(x)=3|x+9|+6

Answers

a vertical stretch of 3, left 9 units, and up 6 units

Horizontal shift left 9 units and vertical shift up of 6 units

A math test has 40 questions. A student answers 85% of the questions correctly. How many questions did the student answer correctly? Enter your answer in the box

Answers

Answer:

34

Step-by-step explanation:

40 * 0.85 = 34

34 questions answered correctly

Hey there,

85% = [tex]\frac{85}{100}[/tex] = 0,85

0,85 x 40 = 34

The student answered 34 questions correctly.

:)

The area of an 14-cm-wide rectangle is 322 cm2. What is its length?
The length is
cm.

Answers

Answer:

The length of rectangle is 23 cm.

Step-by-step explanation:

DIAGRAM :

[tex]\setlength{\unitlength}{1cm}\begin{picture}(0,0)\thicklines\multiput(0,0)(5,0){2}{\line(0,1){3}}\multiput(0,0)(0,3){2}{\line(1,0){5}}\put(0.03,0.02){\framebox(0.25,0.25)}\put(0.03,2.75){\framebox(0.25,0.25)}\put(4.74,2.75){\framebox(0.25,0.25)}\put(4.74,0.02){\framebox(0.25,0.25)}\multiput(2.1,-0.7)(0,4.2){2}{\sf\large{14\ cm}}\multiput(-1.4,1.4)(6.8,0){2}{\sf\large{14\ cm}}\put(-0.5,-0.4){\bf}\put(-0.5,3.2){\bf}\put(5.3,-0.4){\bf}\put(5.3,3.2){\bf}\end{picture}[/tex]

[tex]\begin{gathered}\end{gathered}[/tex]

SOLUTION :

Here's the required formula to find the length of rectangle :

[tex]{\longrightarrow{\pmb{\sf{A_{(Rectangle)} = l \times b}}}}[/tex]

A = Area l = length b = breadth

Substituting all the given values in the formula to find the length of rectangle :

[tex]\begin{gathered}\qquad{\longrightarrow{\sf{A_{(Rectangle)} = l \times b}}}\\\\\qquad{\longrightarrow{\sf{322 = l \times 14}}}\\\\\qquad{\longrightarrow{\sf{322 = 14l}}}\\\\\qquad{\longrightarrow{\sf{l = \dfrac{322}{14}}}}\\\\\qquad{\longrightarrow{\sf{l = \cancel{\dfrac{322}{14}}}}}\\\\\qquad{\longrightarrow{\sf{l = 23 \: cm}}}\\\\\qquad{\star{\underline{\boxed{\sf{ \pink{l = 23 \: cm}}}}}}\end{gathered}[/tex]

Hence, the length of rectangle is 23 cm.

[tex]\begin{gathered}\end{gathered}[/tex]

LEARN MORE :

[tex]\boxed{\begin {minipage}{9cm}\\ \dag\quad \Large\underline{\bf Formulas\:of\:Areas:-}\\ \\ \star\sf Square=(side)^2\\ \\ \star\sf Rectangle=Length\times Breadth \\\\ \star\sf Triangle=\dfrac{1}{2}\times Breadth\times Height \\\\ \star \sf Scalene\triangle=\sqrt {s (s-a)(s-b)(s-c)}\\ \\ \star \sf Rhombus =\dfrac {1}{2}\times d_1\times d_2 \\\\ \star\sf Rhombus =\:\dfrac {1}{2}p\sqrt {4a^2-p^2}\\ \\ \star\sf Parallelogram =Breadth\times Height\\\\ \star\sf Trapezium =\dfrac {1}{2}(a+b)\times Height \\ \\ \star\sf Equilateral\:Triangle=\dfrac {\sqrt{3}}{4}(side)^2\end {minipage}}[/tex]

[tex]\rule{300}{2.5}[/tex]

Answer:

Area=322cm²Breadth=14cmLength=?

We know that,

[tex] \implies\displaystyle{Area_{(rectangle)}} = length(l) \times breadth(b)[/tex]

[tex]\implies\displaystyle{3 {22}^{} } = l \times 14[/tex]

[tex]\implies\displaystyle{ \frac{322}{14} = l }[/tex]

[tex] \implies \displaystyle{23=l}[/tex]

Thus,the value of length=23 cm.

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