If M = {Prime integers between 1 and 11} and N = { factors of 12}. Find:
The members of M
The members of N
M∪N;
M∩N.
Please show working

Answers

Answer 1

Step-by-step explanation:

members of "M" = 2,3,5,7,11

members of "N" = 1,2,3,4,6,12

M∪N = 1,2,3,4,5,6,7,11,12

M∩N = 2,3

intersection is the overlapping numbers in the sets

union is the set with all the numbers but they cannot be duplicates

Answer 2

The members of "M" [tex]=[/tex] [tex]2,3,5,7,11[/tex]

The members of "N" [tex]= 1,2,3,4,6,12[/tex]

M∪N [tex]= 1,2,3,4,5,6,7,11,12[/tex]

M∩N [tex]= 2,3[/tex]

What is Prime number ?

A prime number is a natural number greater than 1 that is not a product of two smaller natural numbers. A natural number greater than 1 that is not prime is called a composite number.

According to questions, M = {Prime integers between [tex]1[/tex] and [tex]11[/tex]}

and N = { factors of [tex]12[/tex]}.

We have to find the members of M, the members of N, M∪N and M∩N.

M = {Prime integers between [tex]1[/tex] and [tex]11[/tex]} [tex]=[/tex][tex]2,3,5,7,11[/tex]

N = { factors of [tex]12[/tex]} [tex]= 1,2,3,4,6,12[/tex]

 So, M∪N [tex]= 1,2,3,4,5,6,7,11,12[/tex]

and M∩N [tex]= 2,3[/tex]

Hence, we can conclude that

The members of "M" [tex]=[/tex] [tex]2,3,5,7,11[/tex]

The members of "N" [tex]= 1,2,3,4,6,12[/tex]

M∪N [tex]= 1,2,3,4,5,6,7,11,12[/tex]

M∩N [tex]= 2,3[/tex]

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Related Questions

plzzz help with this on gusssssssyyss

Answers

The answer would be A=3

Answer: a=3

Step-by-step explanation: add 63 to both sides. Then divide both sides by 9 to get a=3.

What is the value of 3.5 (11) + 1.9 (11) + 1.6 (11)?

O 40
O 77
O 4,096
O 9,317

if you can, help please thank you! :)

Answers

The answer is 77 multiply and add them

The sum of three consecutive integers is 186. What are the​ integer

Answers

Answer: 61, 62, 63

Step-by-step explanation:

61 + 62 + 63 = 186

Hailey cuts a 7-inch square piece of plywood for a birdhouse. She rotates the piece 90° counterclockwise. What is the length in inches of each side of the piece of plywood after the rotation? Can someone please help me ASAP!!

Answers

Answer:

[tex]\huge\boxed{7 \ \text{inches}}[/tex]

Step-by-step explanation:

When we rotate a line, the size doesn't change. Size only changes if we dilate the figure. Rotating a figure is the same thing as just changing its position by a set amount.

Hope this helped!

Which table best describes a function with exponential decay?






PLEASE HELP!!!!

Answers

answer:
the 4th option

explanation:
the f(x) values are decreasing at a nonlinear rate

find the selling price $280 tax 5%

Answers

Answer:

The selling price is $294

Step-by-step explanation:

5/100 (280)

0.05 * 280 = 14

5% of 280 equals 14.

To find the selling price we have to add the tax to the price.

$14 + $280 = $294

The selling price is $294

If ABC has vertices A (3,-1), B (2, 1), and C(5,3), find vertices of its image A'B'C'
after dilation with a scale factor of 2 about the origin.
OA) A (3/2, 1/2), B'(1,1/2), C'15/2,3/5)
OB) A 16, -2), B'(4,2), C (10, 6)
OC) A (6,2), B (4, 2), C'(10, 6)
OD) A (6,2), B (2, 2), C'(10, 6)

Answers

Answer:

d

Step-by-step explanation:

The vertices of image A'B'C' after dilation with a scale factor of 2 about the origin are , A' (6, -2), B' (4,2), and C' (10, 6).

What is Multiplication?

To multiply means to add a number to itself a particular number of times. Multiplication can be viewed as a process of repeated addition.

Given that;

ABC has vertices A (3, -1), B (2, 1), and C(5, 3).

Now, After dilation with a scale factor of 2 about the origin the vertices of A', B' and C' are,

A' = 2 × (3, - 1)

   = (6, - 2)

B' = 2 × (2, 1)

   = (4, 2)

C' = 2 × (5, 3)

    = (10, 6)

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A cell phone company charges $4 per GB beyond 20GB in a month. The monthly plan is $59.99, and the bill for January is $75.99. How many GB were used in that month?

Answers

Answer:

24GB

Step-by-step explanation:

75.99-59.99=16   This is how much extra money was paid.

16/4=4                   Divide this by the cost per GB.

20+4=24GB          Add the 20GB included in the plan.

Answer:

Step-by-step explanation:

75.99-59.99=16

$16 worth of GB used for that month

which means 16/4=4 GB extra were used that month beyond the 20 GB

so total GB usage for that month is 24 GB

Find the equivalent expression of 9^-5

Answers

Answer:

-59,049

Step-by-step explanation:

Multiply 9 by itself 5 times

5h-13=12 ca I have an
answer

Answers

Answer:

h=5

Step-by-step explanation:

Let's solve your equation step-by-step.

5h−13=12

Step 1: Add 13 to both sides.

5h−13+13=12+13

5h=25

Step 2: Divide both sides by 5.

5h /5 = 25 /5

h=5

I this helps may I get brianliest?

Answer: h = 5

Step-by-step explanation: 5h + 13 = 12  -13 + 5h = 12  ( h ) 0 + 5h = 12+13 5h = 25 ~ 5

x times x is X^2, right? I'm having a brain toot and I can't remember. plz answer asap

Answers

Yes it is x^2 when you multiply x by x

Bob has 10 apples after 4 hours he has 6 apples. Find the slope l the line that indicates the rate that bob eats apples at.

Answers

Answer:

y= -x + 10

Step-by-step explanation:

At 0 hours = Bob has 10 apples

At 4 hours = Bob has 6 apples

In 4 hours Bob has eaten 4 apples

Using linear graphs where y = the apples remaining and x = the hours passed

y = mx + c

We already know some coordinates:

(0,10) - 0 hours 10 apples remaining

(4,6) - 4 hours 6 apples remaining

c is the y intercept and m is the gradient

We already have the y intercept (where x = 0) which is (0,10)

So first part of our rule is done: y = mx + 10

The gradient is rise / run

Rise = -4 and Run = 4

-4/4 = -1

So the gradient is -1 and we add that to our rule

So final rule is y = -x + 10

The next two terms of the sequence 4,7,10,13 are?

Answers

Answer:

16,16

Step-by-step explanation:

All you have to do is add 3 every time. i hope it helps

Answer:

16, 19

Step-by-step explanation:

add 3 each term

helppp me pleaseeeee

Answers

Answer:

connor: Initial value is 200ft/ rate of change is 10

pilar: rate of change is -8/ initial value is 242

Step-by-step explanation:

so to figure out the initial value in a word problem, you need to see what it began or started with first and in the table to figure out the initial value, you need to see if there's a zero in the input and under the zero, the number in the output that's under 0 is the initial value. to find the rate of change in a word problem, if it says per, each, then it's the rate of change, Also to find the rate of change in a table you need to use this formula y²- y¹/x²-x¹ for example 234-242/1-0= -8/1 which is -8 for the slope. I hope my explanation helped. sorry if it's not clear

What is the inverse of the statement "If Mike did his homework, then he will pass this test"?
A. If Mike passes this test, then he did his homework.
O
B. If Mike does not pass this test, then he did not do his homework.
O C. If Mike does not pass this test, then he only did half his homework.
D. If Mike did not do his homework, then he will not pass this test.

Answers

Answer:

d. if mike did not do his homework, then he will not pass this test

solve 2r+3<7 and -r+9≤2​

Answers

Answer:

r<2

r greater than or equal to 7

Step-by-step explanation:

The solution for r in the two of the given inequalities is r<2 and r ≥ 7, respectively.

What are inequalities?

Inequalities help us to compare two unequal expressions. Also, it helps us to compare the non-equal expressions so that an equation can be formed. It is mostly denoted by the symbol <, >, ≤, and ≥.

The given inequalities can be solved as shown below.

1.)

2r + 3 < 7

Subtract 3 from both sides of the inequality,

2r + 3 - 3 < 7 - 3

2r < 4

Divide both the sides of the inequality by 2,

2r/2 < 4/2

r < 2

2.)

-r + 9 ≤ 2​

Subtract 9 from both sides of the inequality,

-r + 9 - 9 ≤ 2 - 9

-r ≤ - 7

Multiply from both sides of the inequality by -1,

(-r × -1) ≤ (-7 × -1)

r ≥ 7

Hence, the solution for r in the two of the given inequalities is r<2 and r ≥ 7, respectively.

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divide 6.7cm into 4 equal parts​

Answers

Answer:

I used a calculator and it said "1.675"

Step-by-step explanation:

Issun Sengeki... Messatsu!

Plug "6.7/4" and 1.67500 appears.

Quote: "Weakness is a disease... I am the cure!"

- Akuma

hey yall uh please help me i need this done asap! i'll give the brainliest thingamabob to whoever answers me :))
A salesman's salary is $9 per hour plus $250 in sales commission. His total weekly pay this week was $565. How many hours did the salesman work this week? Write an equation to model and solve the problem. Explain the answer in terms of the problem. Show all work.
muah

Answers

Answer:

565+9x=250.......

Step-by-step explanation:

um i think this might be it

Answer:

he worked 35 hours

equation: p= $9x + 250

p is pay

x is hours worked

Step-by-step explanation:

we know that the pay was 565 so plug that into p: 565= 9x + 250

subtract 250 from both side to isolate the variable: 315= 9x

divide both sides by 9: x= 35

with the equation 4 + 5x = -11 the value of x is

Answers

Answer:

4+5x= -11

5x= - 11-4

5x= - 15

x= - 15÷5

x= - 3

Pls help! I WILL GIVE YOU BRAINLEIST

Answers

Answer:

1) = 180 degree reason = being AB is a straight line or supplementary

2) = angle AOB reason = being all the angles are of a straight line AB

3) = x + 2x+34 + 20 = 180 degree. reason being supplementary angle

4) = 42 degree

1) fill 180° in the blank

Reason :

Because AOB angles is half a page so it equals 180°

_________________________________

2)fill 180° in the blank

Reason :

AOE + EOF + FOB = AOB

And we have found that AOB angles is half a page so it equals 180°

_________________________________

3) 2x + 34 _ 180°

_________________________________

4) x = 42°

A cyclist rode at a constant speed of 21mph for 3 hours. Then she decreased her rate of speed to 17 mph for 4 hours. How far fid they cyclist ride in 7 hour

Answers

Answer: 131 miles; 21 x 3 = 63 + 17 x 4 = 68. 63 + 68 = 131 miles

Hence, the cyclist ride in [tex]7[/tex] hour is [tex]131[/tex]miles.

What is the speed?

The magnitude of the change of its position over time or the magnitude of the change of its position per unit of time; it is thus a scalar quantity.

Here given that,

A cyclist rode at a constant speed of [tex]21[/tex]mph for [tex]3[/tex] hours. Then she decreased her rate of speed to [tex]17[/tex] mph for [tex]4[/tex] hours.

[tex]21[/tex] x [tex]3[/tex]  [tex]=63 + 17 (4)[/tex]

[tex]= 131[/tex] miles

Hence, the cyclist ride in [tex]7[/tex] hour is [tex]131[/tex]miles.

To know more about the speed

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******Absolute Value******
l-7al=28

Answers

Answer:

a = 4

Step-by-step explanation:

28/ 7 = 4

l7al= 28

7x4 = 28

Absolute Value: the magnitude of a real number without regard to its sign.

plz mark brainliest

Answer:

a=-4

Step-by-step explanation:

-7a=28

7a/7=-28/7

a=-4

please help me, i really don't know how to solve this question ​

Answers

Answer:

60 degrees

Step-by-step explanation:

40 degrees + 2y+20 degrees makes a straight angle. (from alternate interior angles postulate)

Thus, 2y+60 degrees = 180, or 2y = 120 degrees.

This means y = 60 degrees

Can you change a number in base 2 to a decimal because I don't think it is possible. ​

Answers

Answer:

If you divide it by a number that cannot be divided, it will be a decimal number

Can someone help me with these questions please?

Answers

Answer:

Then the best way to phrase it would be to jump right into the question without I need your help, because saying so makes it sound as though you have more of an urgent, sensitive, personal problem than a simple question or two (they might be a bit taken aback by the phrase).

However, if you have several questions (let's say more than 2), or if you just want to sound a bit more polite, you could preface the content with a phrase like I was wondering I you might be able to answer a few questions of mine, or, I have a few questions that I was hoping you might be able to help me with.

HELP QUICK PLSS !!

How many terms are in this expression?

1 + 5t

Answers

Answer:

One

Step-by-step explanation:

There is only one letter there

Answer:

1t

Step-by-step explanation:

Kasey asked 6 of her friends how many episodes of their favorite show they
watched during the quarantine. Kasey determined the following measures about
the number of episodes watched by the 6 friends. Mean: 10, Median: 9.5, and
Range: 14. The three friends who watched the most episodes over the quarantine
watched 18, 13, and 12. How many episodes did the other 3 friends watch?*
O A. 4,6,7
B. 4, 4,7
C. 5, 8, 9
O D. 2,3,5

Answers

Answer:

A

Step-by-step explanation:

6 friends

Mean - 10

Median - 9.5

Range - 14

3 friends watched 12, 13, and 18 movies.

Let's find the sum, this will help us find the total number of movies the other 3 friends watched.

12 + 13 + 18 = 43

The mean is all their movies added toether, divided by the number of friends.

m = number of movies the other friends watched.

(43 + m) / 6 = 10        Multiply each side by 6

43 + m = 10 * 6

43 + m = 60          Subtract 43 from each side

m = 60 - 43

m = 17

So we know the total movies the other friends watched is 3.

A. 4+6+7 = 17

B. 4+4+7 = 15

C. 5+8+9 = 22

D. 2+3+5 = 10

We know the answer is A.

We can check it by looking at the Median, the median is the middle number, if there are an even number of samples, you add the 2 middle numbers together and divide by 2.

4, 6, 7, 12, 13, 18

So 7+12 = 19

19/2 = 9.5

So we know for sure A is correct!

Which statement is true? Use the number line to help. A number line going from negative 2.5 to positive 2.5 in increments of 0.5. –2 is greater than Negative 2 and one-half. 1.5 is less than 1 1 is less than Negative one-half. Negative 1 and one-half is greater than Negative one-half.

Answers

Answer:

-2 is greater than Negative and one-half

Step-by-step explanation:

The number is further from zero towards the negative portion o the number line making it of lesser value.

A= LW For W

HELP ME!?!

Answers

W=A\L

Divide L from both sides

The L in the right cancels out

Solve for a.

1. all real numbers
2. -1
3. 0
4. no solution

Answers

I think it’s all real numbers
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