Let A={2,3,4} B={2,5,6} C={5,6,2} and D={6}. Determine if the following statements are true:
i). 4€C
ii). 5€C
iii). A=B
iv). B=C​

Answers

Answer 1

Answer:

i. 4∈C => False

ii. 5∈C => True

iii. A = B => False

iv. B=C => True

Step-by-step explanation:

Given sets are:

[tex]A = \{2,3,4\}\\B = \{2,5,6\}\\C = \{5,6,2\}\\D = \{6\}[/tex]

Lets look at the statements one by one.

i. 4∈C

This statement means that 4 is a member of set C. Looking at the members of set C, it can be concluded that the statement is wrong as C doesn't contain 4.

ii. 5∈C

This statement is true as 5 is a member of C.

iii. A=B

This statement states that set A is equal to set B. Two sets are said to be equal if there number of elements and members are same. Set A and Set B have different members so this statement is false.

iv. B=C

Set B and Set C have equal number of members and the members (5,6,2) are also same so the statement is true.

Hence,

i. 4∈C => False

ii. 5∈C => True

iii. A = B => False

iv. B=C => True


Related Questions

There are 12 boys and 16 girls in a classroom. Which represents the simplified ratio of girls to students in the
classroom?

Answers

Answer: 2:3

Step-by-step explanation:

12/6=2

18/6=3

Answer:

Option A.

Step-by-step explanation:

Options:

A. 3 to 4

B. 4 to 3

C. 4 to 7

D. 7 to 4

In order to simplify a fraction the numerator and the denominator have to have common factors that they can be divided by.

[tex]\frac{12}{16}[/tex]

Divide

[tex]CF=4[/tex]

[tex]12\div4=3[/tex]

[tex]16\div4=4[/tex]

[tex]=\frac{3}{4}[/tex]

Hope this helps.

Answer this right and i will mark you brainliest hellllllpppp meeee ❤️

Answers

Answer:

y represents the money raised for charity

Step-by-step explanation:

don't be putting random stuff and that's on period ​

Answers

Answer:

126 divided by 6 which is 27

Step-by-step explanation:

The answer is C

Answer is C!

Sawarasenaikimiwa⛓shoujonano?~

✨BöKùWâÿARiçHiñBįCChīńOoŠuDàYO!~~

need help on this one please​

Answers

The answer is 4. That’s the correct answer

what is the answer to the question

Answers

Answer: The area of the triangle is 25 units^2.

Step-by-step explanation: The formula to find the area of the triangle is (base * height)/2. In this case, the base is 10 units long (on the x axis, it's the overall horizontal length of the triangle) and the height is 5 units long (the height can be calculated by finding the y axis length from the highest point of the triangle to the lowest). So (10*5)/2 = 50/2 which equals 25. And keep in mind, because this is the area, the unit will be units squared.

Solve for x: -2x + 14 = 20

Answers

Answer:

x = -3

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDASEquality Properties

Step-by-step explanation:

Step 1: Define equation

-2x + 14 = 20

Step 2: Solve for x

Subtract 14 on both sides:                    -2x = 6Divide -2 on both sides:                        x = -3

Step 3: Check

Plug in x into the original equation to verify it's a solution.

Substitute in x:                    -2(-3) + 14 = 20Multiply:                               6 + 14 = 20Add:                                     20 = 20

Here we see that 20 does indeed equal 20.

∴ x = -3 is a solution of the equation.

Khan Academy
Factor using polynomial division
The polynomial p(x) = x3 + 7x2 – 36 has a known factor of (x + 3).
Rewrite p(x) as a product of linear factors.
p(2) =

Answers

Answer:

Rewriting p(x) as a product of linear factors: [tex]\mathbf{f(x)=(x+3)(x-2)(x+6)}[/tex]

Step-by-step explanation:

The polynomial [tex]p(x) = x^3 + 7x^2 - 36[/tex] has a known factor of [tex](x + 3)[/tex]

We need to find other factors.

First we find quotient of  [tex]p(x) = x^3 + 7x^2 - 36[/tex] divided by [tex](x + 3)[/tex]

The division is shown in image attached.

The quotient is: [tex]x^2+4x-12[/tex]

Now, factoring the quotient [tex]x^2+4x-12[/tex]

[tex]x^2+4x-12\\=x^2+6x-2x-12\\=x(x+6)-2(x+6)\\=(x-2)(x+6)[/tex]

The other two factors are (x-2)(x+6)

So, Rewriting p(x) as a product of linear factors: [tex]f(x)=(x+3)(x-2)(x+6)[/tex]

Which city experiences a larger absolute change between the high temperature and low temperature, Nuuk in January or Isla Hoste in August?

Answers

Answer:

I believe it is Isla Hoste in August

Answer: it is Isla Hoste in August

Step-by-step explanation:

i am sure pls give me brainliest

Written expression for (9x5)+(24-9)

Answers

60 is the answer for this

Roxanna has a collection of silver spoons from all over the world.
- If the spoons are arranged in sets of 7, there are 5 left over.
- If the spoons are arranged in sets of 8, there is 1 left over.
- If the spoons are arranged in sets of 15, there are 14 left over.

If she has at least 50 spoons, what is the smallest possible number of spoons in her collection?

Answers

50 because spoons 15 so desk 14 seat 10

Solve x-5= 2.
a. X = 3
b. X = -7
c. X= 7
d. x = -3

Answers

Answer: C.

Explanation: X= -7

5
A bag of marbles had 16 red marbles and the rest were white. For a game, of the 16 red marbles were chosen, and 15 of the white marbles were also
chosen.
Use this information to answer the questions below.
If not enough information is given to answer a question, click on "Not enough information."

Answers

Is this algebra 1 or 2

Multiply and simplify the product.
(3 – 5i)(–2 + 4i)
Select the product.

14+ 2i

14 + 22i

15 + 22i

26+2i

Answers

Answer:

B

Step-by-step explanation:

We have the expression:

[tex](3-5i)(-2+4i)[/tex]

Distributive Property:

[tex]=(3-5i)(-2)+(3-5i)(4i)[/tex]

Distribute:

[tex]=(-6+10i)+(12i-20i^2)[/tex]

Simplify:

[tex]=(-6+10i)+(12i-20(-1))[/tex]

Simplify:

[tex]=-6+10i+12i+20[/tex]

Combine like terms:

[tex]=(-6+20)+(10i+12i)[/tex]

Simplify:

[tex]=14+22i[/tex]

Hence, our answer is B.

Answer:

14+22i

Step-by-step explanation:

Which graph correctly represents the information from the table?
Time (s) Speed (m/s)
0 0
2 4
3 6
4 8
6 12

Answers

Answer:

A.

Step-by-step explanation:

A and C are the only graphs it could be because they are the only graphs starting with (0, 0)

Graph C does not have (2, 4) on it but Graph A does meaning that the only possible answer is Graph A

Answer:

Yes, ( A )would be the correct answer

Step-by-step explanation:

Took the test.

I neeed help for 4,5, and 6



I have 15 more points left



plssss

Answers

4. Encontré el pastel en el supermercado que está cerca mi trabajo.
5. Si, compre los panes en la panadería.
6. Compre la piñata en la tienda de efectos de cumpleaños.


By the way..
1. Yo compre las frutas en el supermercado.
2. Si, envié las invitaciones en la oficina de correo.
3. Si, comi en un restaurante antes de la fiesta.

What is the value for ƒ(x) = 9 3 15 6

Answers

Answer:

8 9 16 7 hope this helps

Step-by-step explanation:

I'm not to good with math lol

Answer:

9

Step-by-step explanation:

I believe this is missing part of the equation. But if you are looking for the value of f(x)=3^2x+1 when x=1/2, this is the answer you are looking for.

You will have to substitute the given value into the function and evaluate.


Hurry I don’t know the answer

Answers

Answer:

I cant tell wich graph as all the options arnt present but I hope the picture will help you tell wich graph

What is the constant of proportionality in the equation y=5/9 x?

Answers

Answer:

In your question, the constant of proportionality already jump out at us which is to get y, we have to multiply x by 5/9. Therefore the constant of proportionality is y=5/9x.

pls help :( plssss plsss pls

Answers

Answer:

you can alwayd use desmos for graphing

I was gonna post what the question above mii posted, but I didn’t want to offend her or him for copying them.

A store pays $1.50 for a bag of candy. If the store wants to mark-up the price 60%,

for how much will the store sell the bag of candy?

Answers

Answer:

Selling price = $2.4

Step-by-step explanation:

Given:

Purchase price = $1.50

Increase in price = 60%

Find:

Selling price

Computation:

Selling price = Purchase price + (Purchase price)(Increase in price)

Selling price = $1.5 + (1.5)(60%)

Selling price = $1.5 + 0.9

Selling price = $2.4

Tomas is a commercial real estate agent who earns a yearly salary of $82,500 and a 2.5% commission on his total sales. If Tomas sold properties that totaled $3.75 million in sales during one year, what are Tomas’s earnings for that year?​

Answers

Answer:

$176,250

Step-by-step explanation:

Multiply $3.75 million by Tomas commission on his total sales. Since you can't multiply a percentage you have to turn the commission into a decimal by moving it two spaces to the left. (Note: If it doesn't have a decimal add one at the end of the number then move it two spaces to the left)

$3,750,000 x .025 or 0.025 = $93,750

Add $93,750 to Tomas yearly salary

$93,750 + $82,500 = $176,250

So

If Tomas sold properties that totaled $3.75 million in sales during one year, his earnings for that year would be $176,250

which of these is positive values and which have negative values
7-(-4)

-3+(-2)

5-8

-10+12​

Answers

Answer:

Positive: 7-(-4) and -10+12

Negative -3+(-2) and 5-8

Step-by-step explanation:

Addition and subtraction rules

Coordinate plane with triangle EFG with E at 0 comma 5, F at 1 comma 1, and G at negative 2 comma 1. Point H at 1 comma 1 is on segment GF, and points E and H are connected with a segment.

Triangle EFG is dilated by a scale factor of 2 centered at (0, 2) to create triangle E'F'G'. Which statement is true about the dilation?

segment EG ≅ segment E prime G prime.
The slope of segment EF is the same as the slope of segment E prime H prime.
segment H prime F prime will overlap segment HF.
segment EH and segment E prime H prime both pass through the center of dilation.

Answers

Answer:

The answer is A

Step-by-step explanation:

I'm taking the test

Answer:

Either way, dilations wont cause congruency, the triangles will be similar (Invalidates A)

Step-by-step explanation:

Help me with this question pleaseee

Answers

Answer:

13

Step-by-step explanation:

In the figure provided,

∠(9y + 7) = ∠(2y + 98)                     [vertically opposite angles]

7y + 7 = 98                                      [subtracting 2y from both sides]

7y = 91                                             [subtracting 7 form both sides]

y = 13                                               [dividing both sides by 7]                              

need help with question 2 and 3

Answers

Answer:

2. 122

3. 90 degrees

Step-by-step explanation:


You build a model of Laurel Park using the scale 1.5 inches:10 feet. If the model 94.5
inches wide, what is the width of the school campus?

Answers

Answer:

The width of the school campus is:

[tex] \boxed{ \underline{ \rm{630 \: feet}}}[/tex]

Step-by-step explanation:

Scale = 1.5 inches : 10 feet

That means, 1.5 inches is equals to 10 feet in real.

Then for 1 inch:

⇛ 10 / 1.5 feet

⇛ 10/3 feet

We need to find for 94.5 inches,

⇛ 94.5 inches = 94.5 × 2/3 feet

⇛ 94.5 inches = 63 feet

Thus, the width of the school campus is 63 feet.

I Think the answer Is C

Answers

Answer:

mee two

Step-by-step explanation:

lol ok how was everyone day

Answer all of the following questions above. I will give brainliest to the correct answer!

Answers

Answer:

40

112

2n^2 + 2n       C

Step-by-step explanation:

a)The correct formula is 2n^2 + 2n

So for n =4, the answer is

2*4^2 + 2*4

2*16 + 8

32 + 8

40

b) For the seventh answer you get

2 * 7^2 + 2*7

2*49 + 14

98 + 14

112

c) The correct formula to use is

2n^2 + 2n  See diagrams for the number of matchsticks to be used.

n                    2n^2 + 2n

1                    2*1^2 + 2*1

1                    2 + 2

1                    4

2                    2*2^2 + 2*2

2                    2* 4 + 4

2                    8 + 4

2                    12

3                    2*3^2 + 2*3

3                    18 + 6

3                    24

What an extremely interesting sequence. I'll bet not one person in 100 could get this without the match stick diagrams.  I'm sorry I didn't read the question more carefully.

A sample was taken of the metabolic rates of men participating in a study regarding diets. If each score is multiplied by 25 points , then the standard deviation of the new scores would:_______

Answers

Answer:

multiply by 25 also.

Step-by-step explanation:

If the scores are multiplied by 25, that means that the mean will also multiply by 25. Since the mean and the scores all increased by 25 times, the standard deviation will increase by 25 times.

If instead, you added 25 (or any other number) to each score, then the standard deviation would not change. The mean and each score will increase by 25, bu the difference between them will not change.

what is the value of |-6.33|

Answers

Answer: the absolute value is 6.33

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