E={1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16} A={x:x is a multiple of 3} B={x:x is a factor of 24} C={x:x is an odd number} (i) Find (a) n(B),

Answers

Answer 1

B={1,2,3,4,6,8,12,24}

n(B)=8

Answer 2

Answer:

[tex] \boxed{ \huge{ \bold{ \boxed{ \sf{3 \:  ,  \: 6 \:  ,  \: 12}}}}}[/tex]

Step-by-step explanation:

Given,

E = { 1 , 2 , 3 , 5 , 6 , 7 , 8 , 9 , 10 , 11 , 12 , 13 , 14 , 15 , 16 }

Here, E is the universal set.

A = { x : x is a multiple of 3 }

Here, we have to list the multiples of 3 less than 16

A = { 3 , 6 , 9 , 12 , 15 }

B = { x : x is a factor of 24 }

Here, we have to list the factors of 24 less than 16 }

Factor of 24 means the numbers that can divide 24 easily.

Factor of 24 includes :

B = { 1 , 2 , 3 , 4 , 6 , 8 , 12 }

C = { x : x is an odd number }

Here, we have to list the odd numbers which are less than 16

C = { 1 , 3 , 5 , 7 , 9 , 11 , 13 , 15 }

Finding A B

Here, We have to find the common elements that are present in both A and B

{ 3 , 6 , 9 , 12 , 15 } ∩ { 1 , 2 , 3 , 4 , 6 , 8 , 12 }

= { 3 , 6 , 12 }

Hope I helped!

Best regards!!


Related Questions

-20 divided by (-4) =

Answers

Answer: 5

Step-by-step explanation: -4×5=-20

What is the slope of the line shown?

Answers

Answer:

[tex] \frac{1}{2} [/tex]

Step-by-step explanation:

Given line is passing through the points (8, 0) & (0, - 4)

[tex]slope \: of \: line = \frac{ - 4 - 0}{0 - 8} = \frac{ - 4}{ - 8} = \frac{1}{2} \\ [/tex]

What are the two solutions to the absolute value equation |2x+3|=7

Answers

Step-by-step explanation: We can solve the equation |2x + 3| = 7 by

first splitting things up into two separate equations.

The first equation will look just like the original problem,

minus the absolute value signs and we have 2x + 3 = 7.

The second equation will look just like the first, only the right

side will be changed to a negative and we have 2x + 3 = -7.

Now solve each equation from here.

In our first equation, subtract 3 from both sides to get 2x = 4.

Then divide both sides by 2 and x = 2.

In our second equation, subtract 2 from both sides to get 2x = -10.

Now, divide both sides by 2 and we have x = -5.

So either x = 2 or x = -5.

A gallon of gas costs $2.16. Rob buys 13.5 gallons of gas. How much did he pay?

Answers

Answer:

$29.16.

Step-by-step explanation:

Each gallon of gas is $2.16.

13.5 gallons of gas is 2.16 (13.5) = $29.16.

Answer:

he payed 29.16 dollars for gas

Step-by-step explanation:

I am in class I really need help the teacher is gonna call on me help please

Answers

Answer:

5/10 or 1/2

Step-by-step explanation:

5-4 is 1, and 1 squared is still 1.

the cube root of 27 is 3

7 to the 0 power is 1

1 + 3 + 1 is 5

5 over 10 is 1/2

Answer:

1/2

Step-by-step explanation:

(5-4)²+∛27+[tex]7^{0}[/tex]

1²+∛27+[tex]7^{0}[/tex]

1+∛27+[tex]7^{0}[/tex]

1+3+[tex]7^{0}[/tex]

1+3+1

4+1

5/10=1/2

What is the solution too: R is between Q and S. If RS = 44.6 and SQ = 68.4 find QR

Answers

Answer:

Step-by-step explanation:

what situations would solve by graphing be your preferred choice? Give an example.
In what situations would solve by substitution be your preferred choice? Give an example.
In what situations would solve by elimination be your preferred choice? Give an example.
Write a linear system that can be solved by any of the three methods.

Answers

Answer:

1) The solve by graphing will the preferred choice when the equation is complex to be easily solved by the other means

Example;

y = x⁵ + 4·x⁴ + 3·x³ + 2·x² + x + 3

2) Solving by substitution is suitable where we have two or more variables in two or more (equal number) of equations

2x + 6y = 16

x + y = 6

We can substitute the value of x = 6 - y, into the first equation and solve from there

3) Solving an equation be Elimination, is suitable when there are two or more equations with coefficients of the form, 2·x + 6·y = 23 and x + y = 16

Multiplying the second equation by 2 and subtracting it from the first equation as follows

2·x + 6·y - 2×(x + y) = 23 - 2 × 16

2·x - 2·x + 6·y - 2·y = 23 - 32

0 + 4·y = -9

4) An example of a linear system that can be solved by all three methods is given as follows;

2·x + 6·y = 23

x + y = 16

Step-by-step explanation:

zero equals four plus n over 5

Answers

Answer:

n=-20

Step-by-step explanation:

[tex]0 = 4 + \frac{n}{5} \\ ⟶ 0 - 4 = \frac{n}{5} \\ ⟶ - 4 \times 5 = n \\ ⟶ - 20 = n[/tex]

Answer:

-20

Step-by-step explanation:

Zero equals four plus n over 5

Solving for n:

0 = 4 + n/5n/5 + 4 = 0n/5 = -4                            ⇒ subtract 4 from both sidesn = -4*5                           ⇒ multiply by 5 both sidesn = -20                            ⇒ answer

Write the set of all real numbers except 100 in set builder notation. PLEASE ANSWER FAST

Answers

Answer:

See below.

Step-by-step explanation:

The set of all real numbers except for 100 in set builder notation (assuming the variable is x) is:

[tex]\{x|x\in\mathbb{R},x\neq100\}[/tex]

The very first x represents the variable.

The second with the R represents the number. Here, we want all real numbers.

And the third is the constraint. We want all real numbers except for 100.

Order the tiles to match the scenario of the graph of the
hot air balloon.
Height
Rises
Rises
Loses
Floats
slowly
quickly
altitude
steadily
Time

Answers

Answer:rises slowly floats steadily loses altitude rises auickly

Step-by-step explanation:

I did the question it's not that hard

Answer:

Rise slowly

Floats steadily

Loses altitude

Rises quickly

Step-by-step explanation:

I hope I helped

2. Select the correct answer from each drop-down menu. Is found Neurons are the building blocks of the nervous system. They process and transmit signals. In a neuron, the Inside the Reset Next​

Answers

Neurons are building blocks of nervous system. They process and transmit signals.”  

“In a neuron, the nucleus is found inside cell body”.  

What is an expression?

Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.

Since, We know that;

The neurons are the structural and functional system of nervous system. It is composed of parts such as:

Dendrites – Branched structure located at the terminal of the cell body.

Cell body – It contains nucleus.

Nucleus – It is the controlling center of the cell.

Axon – Transports the signals from cell body to synapses.

Synapses – Sends the signal from one neuron to another neuron.

Thus, “Neurons are building blocks of nervous system. They process and transmit signals.”  

“In a neuron, the nucleus is found inside cell body”.  

Learn more about the mathematical expression visit:

brainly.com/question/1859113

#SPJ7

POINTS!!! PLS COME AND LOOK!!! I NEED YOU GENIUSES!!! I WILL GIVE BRAINLIEST!!!!! AT LEAST COME AND LOOK!!!! WILL FOREVER BE GREAT FULL!!! EASY I JUST STRUGGLE!! 2 QUESTIONS!!
23. Which absolute value inequalities will have all real solutions as a solution set? (SELECT ALL THAT APPLY.)
A) |5x-7|<-2
B) -2|3x-5|>3
C) |5x-4>-8
D) |3x-6|+17>15

24. Which relation has a domain of {–5, –3, 0} and a range of {1, 2, 3, 4, 5, 6, 7, 8}?
A) {(2, –5), (3, –3), (6, 0), (7, –5), (1, 0), (8, –5), (4, –3), (5, 0)}
B) {(-5, -5), (-3, 0), (2, 8), (1, 7), (5, 3), (6, 4)}
C) {(–5, 8), (–5, 2), (–3, 3), (–3, 1), (0, 4), (0, 5), (–5, 7), (–3, 6)}
D) {(-5, 9), (10, –3), (2, 1), (3, 4), (0, 5), (6, 8), (0, 7)}

Answers

Answer:

Step-by-step explanation:

23 : C,D

24: the domain is the set of all values of x, and the range are the input y

{(–5, 8), (–5, 2), (–3, 3), (–3, 1), (0, 4), (0, 5), (–5, 7), (–3, 6)}

It would be C

9 is subtracted from the square of a number

Answers

Answer:

x^2 -9

Step-by-step explanation:

Let x be the number

x^2 -9

Solve for x: 3(x+1) = 2(x-1)

Answers

3x+3=2x-2
-3. -3
3x=2x+5
-2x -2x
X=5

Answer:

-5

Step-by-step explanation:

First do whats in the parentheses

so it will look like this

3x+3=2x-2 now subract 2x from 3x you get x

x+3=-2

now minus 3 from -2 and you get -5

x= -5

Can someone please help me I have no clue what the answer is

Answers

Answer:

33

Step-by-step explanation:

On bottom left add 3 and 4 getting 7  then add 4 and 5 getting 9 then 5 and 3 getting 8

Then on the second row there is 7 + 9 = 16 then 9 + 8 = 17

Last of all the top is 16 + 17 = 33

Answer: 33

Step-by-step explanation: You add the two numbers underneath and on top is the answer

Perform the indicated operation. PLEASEE HELPP HURRYY!! (3 + i) + (5 + 7i) = A) -2 + 6i B) 2 + i C) 8 + 6i D) 8 + 8i

Answers

Answer:

[tex] \boxed{ \bold{ \huge{ \boxed{ \sf{8 + 8i}}}}}[/tex]

Option D is the correct option.

Step-by-step explanation:

[tex] \sf{(3 + i) + (5 + 7i)}[/tex]

When there is a ( + ) in front of an expression in parentheses , there is no need to change the sign.

That means, the expression remains the same.

Just remove the unnecessary parentheses

⇒[tex] \sf{3 + i + 5 + 7i}[/tex]

Collect like terms and simplify

⇒[tex] \sf{3 + 5 + i + 7i}[/tex]

⇒[tex] \sf{8 + 8i}[/tex]

Hope I helped!

Best regards!!

1.11 People fit comfortably in a 5 feet by 5 feet area. Use this value to estimate the size of a crowd that is 5 feet deep on BOTH sides of the street along a 5-mile section of a parade route.
(4 Points)

Answers

Answer:

in 5ft by 5ft = 25ft^2, there can be 1 person

A normal street is 30ft wide

Then, if we want the width such that is 5 ft deep (from both sides)

Then we should subtract two times 5 ft:

30ft - 5ft - 5ft = 20ft.

Now the length is 5 miles

and 1 mile = 5280 ft

then 5 miles = 5*( 5280 ft) = 26,400 ft.

Then the area is:

20ft by 26,400 ft. =528,800  ft^2

And we know that in 25 ft^2 we can fit one person.

How many spaces of 25ft^2 we have in the 528,800 ft^2?

this is:

N =  528,800 ft^2/25ft^2 = 21,152

This means that in the street 21,152 people can fit comfortably.

The size of the crowd is  21,152 people.

How can the additive inverse be used to evaluate the problem below?

-3-(-6) ???

Answers

Answer:

Hey there!

It can be used because -3-(-6) is equal to -3+6, which is 3.

Let me know if this helps :)

Creating a Function from a Mapping The mapping shows a relationship between input and output values. Which ordered pair could be removed to make this relation a function? Input Output O (-5, 0) O (-1, -3) -5 O (4, -2) 2 -3 O (6,-1) -1 -2 ī ņ ņ na v v • 4 2 6​

Answers

I'm not sure what some of the ordered pairs are in what you wrote, but a function is when each input has one output. So, for every x there is one y. The x values can not repeat. So, remove one of two ordered pairs where the x value is repeating.

What’s the value of x

Answers

Answer:

2

Step-by-step explanation:

20-7x=6x-6

20+6=6x+7x

26=13x

x=2

3
Exress 10° in standard form
1
10
100

Answers

Answer:

1

Step-by-step explanation:

In general [tex]a^{0}[/tex] = 1 ( where a is a real number ), thus

[tex]10^{0}[/tex] = 1

Phil weighs 120 pounds and is gaining ten pounds each month. Phil weighs 150 pounds and is gaining 4 pounds each month. How many months, m, will it take for Bill to weigh the same as Phil?

Answers

Answer:

5 months

Step-by-step explanation:

I'm assuming there was a typo and said that Phil weighed both amounts so I'm assuming that the second amount is Bill's weight

We can use LCM for this

So lets make a list for both of them

Phil:120, 130, 140, 150, 160, 170, 180, 190, 200

Bill: 150, 154, 158, 162, 166, 170, 174

As you can see here, after 5 months, they will have the same weight.

We can check our work to.

lets do 120+(10*5)=170

and 150+(4*5)=170

I hope this makes sense

Answer:

5 months

Step-by-step explanation:

lets chart it like i did as you can see they both started at 120 and 150 then 5 month later there both 170

bill              phil

start . 120      150

1m.130       154

2m.140       158

3m.150       162

4m.160       166

5m.170        170

What is the vertex of the parabola in the graph

Answers

Answer:

(-3,-4)

Step-by-step explanation:

The vertex is where the parabola curves.

Answer:

(A)-3 (B)-4

Step-by-step explanation:

♥☺

What is true about the number 2.586? Check all that apply. The 8 is in the hundredths place. The 6 is in the thousandths place. The 5 is in the ones place. This number is read as "two and five hundred eighty-six thousandths." 2.586 is equivalent to (2 × 1) + (5 × 0.1) + (8 × 0.01) + (6 × 0.001).

Answers

Answer:

The 8 is in the hundredths place.

The 6 is in the thousandths place.

2.586 is equivalent to (2 × 1) + (5 × 0.1) + (8 × 0.01) + (6 × 0.001).

Answer:

Step-by-step explanation: A  B  E   are the right ones,     credit to apo16

*PLEASE ANSWER, DIFFICULT QUESTION, ASAP* An ice cream machine offers three flavors: vanilla, chocolate, and strawberry. Each flavor can be served as a milkshake, in a cone, or in a cup. This is a tree diagram that represents the probability of customers choosing the different ice cream options. What is the value of Z? a.)0.2 b.)0.4 c.)0.35

Answers

I think the answer is 0.2

is 51/17 rational or irrational?

Answers

Answer:

[tex] \frac{51}{17} [/tex]is a rational number.

Step-by-step explanation:

As, [tex] \frac{51}{17} [/tex]

can be written in the form p/q where p is a integer and q is not equally to 0.

Answer:

yes it is a rational because ia in the form of p\q

he length of a rectangle is 6 meters more than three times the width. The perimeter of the rectangle is 44 meters. What are the dimensions of the rectangle?

Answers

Answer:

L=18cm

W=4cm

Step-by-step explanation:

P=2l+2w

44=2[3x+6]+2x

44=6x+12+2x

44=8x+12

8x=44-12

8x=32

x=4

l=3x+6

l=3 x 4=12 + 6=18

nwhat is the range of data set for 8 1 7 6 14

Answers

Answer:

14-1=13 range= 13

Step-by-step explanation:

The range of a set of data is the difference between the highest and lowest values in the set. To find the range, first order the data from least to greatest. Then subtract the smallest value from the largest value in the set.

Comelia and Christopher are arguing about Real Number (R) Sets. Comelia says that all Whole (W) numbers are Rational (Q) and Christopher
says that all Rational (Q) numbers are Whole (W). Who is correct and explain why?
Unread
Search entries or author
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2
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B.
12pt
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Answers

Answer: Comelia is correct

====================================================

Explanation:

We're told that "Christopher  says that all Rational (Q) numbers are Whole (W)", which makes Christopher not correct. Some rational numbers are whole numbers. For instance, the number 7 = 7/1 is rational and it's a whole number as well.

However something like 1/2 is rational, but it's not a whole number. A whole number doesn't have any fractional or decimal part to it. It can be thought of the number of something.

Comelia is correct because all whole numbers are rational. If x is some whole number, then x = x/1 is rational as well. Replace x with any whole number you want. Her statement does not work in reverse as shown above.

When drawing a Venn diagram, the circle for "whole numbers" will be entirely inside the circle for "rational numbers", and not the other way around.

PLEASE HELP BRAINLIEST FOR WHOEVER ANSWERS CORRECTLYYYYYYYYYYYYYYY the perimeter P of a square is four times the length of one side s, which can be expressed as P = 4s. is (13,51) a solution of this equation? if not, find a solution that uses one or the other of the given values

Answers

Answer:

No, but (13,52) is

Step-by-step explanation:

To find this you need to understand what (13,51) means.

13 = x coordinate

51 = y coordinate

If you plug 13 into the equation given (P = 4s) you get 52. Therefore, (13,51) is not a solution but instead (13,52) is.

This means each of the four sides has a length of 13 units.

I hope this helps!

-TheBusinessMan

Answer:

P = 52

Step-by-step explanation:

51 = 13(4)     13x4=52

51 does not equal 52 there fore those values are immensely incorrect.  However you may state  52 as the perimeter therefore allowing 52 1to equal 13(4).

New solution 52 =13(4)

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