What is a set builder notation

Answers

Answer 1

Answer:

In set theory and its applications to logic, mathematics, and computer science, set-builder notation is a mathematical notation for describing a set by enumerating its elements, or stating the properties that its members must satisfy.

Step-by-step explanation:

For example, C={2,4,5} denotes a set of three numbers: 2, 4, and 5, and D={(2,4),(−1,5)} denotes a set of two pairs of numbers. ... Another option is to use set-builder notation: F={n3:n is an integer with 1≤n≤100} is the set of cubes of the first 100 positive integers.

Answer 2

Answer:

In set theory and its applications to logic, mathematics, and computer science, set-builder notation is a mathematical notation for describing a set by enumerating its elements, or stating the properties that its members must satisfy.

Step-by-step explanation:

No Explanation


Related Questions

In ΔNOP, p = 7.5 inches, ∠O=8° and ∠P=25°. Find the length of n, to the nearest 10th of an inch.

Answers

Answer: 10.17898 so

About 10.2

Answer: 10.6

Step-by-step explanation:

at 6 am the temperature was -8ºC. In the afternoon, the temperature was +3ºC. What was the change of temperature during the day?

Answers

Answer:

I think -5

Step-by-step explanation:

-8-(3)= -5

if they are the same sings (+or-) you keep and add and different signs subtract, you keep the sign of the bigger number then you'll be exact.

Hope it helps

can anyone help me out with this?

Answers

Given :

Evaluate the equation.

2x – 4(x – 2y) + 6y = ?

When x = 5 and y = 2 then,

2x – 4(x – 2y) + 6y

= 2(5) – 4[(5) – 2(2)] + 6(2)

= 10 – 4(5 – 4) + 12

= 10 – 4*1 + 12

= 10 – 4 + 12

= 22 – 4

= 18

hope this helps ^^
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What is the solution to the equation 4 = 6? y = 1 y = 4 y = 500 y = 2000.

Answers

Answer = y=4. equation

What are the x-intercepts of the graphed function?​

Answers

Answer:

(-2,0) and (2,0)

Step-by-step explanation:

The x-intercepts are where the parabola touches the x-axis (aka when y is 0).

how to evaluate (-1/2)×(-4)​

Answers

The answer is 2

first, we know that the answer will end up to be positive because the two negatives multiply together and cancel each other out to be a positive. Next, we know that 4 divided by 2 is 2, so the answer is 2.

Answer:

Answer:

X=10

Step-by-step explanation:

-1 + x2 = 4

Add 1 to each side

-1 +1+x/2 = 4+1

X/2 = 5

Multiply each side by 2

X/2 *2 = 5*2

x= 10

Amy borrows $1,000 on a simple interest loan. She pays an annual rate of 3.5%. She will take 3 years to pay back the loan. How much interest will Amy pay?

Answers

Answer:

105

Step-by-step explanation:

1,000 divided by 3.5% is 35

35 x 3 is 105

Since you are just asking for just the interest and not the total the answer is 105

The interest that Amy should pay is $105.

Given that,

Amy borrows $1,000 on a simple interest loan. She pays an annual rate of 3.5%. She will take 3 years to pay back the loan.

Based on the above information, the calculation is as follows:

[tex]= 1000 \times 3.5\% \times 3[/tex]

= 105

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The length of the fence is 12 1/2 feet and the width of the fence is 10 3/4 determine the perimeter

Answers

Answer:

46 1/2 feet

Step-by-step explanation:

Perimeter is defined as 2 × length + 2 × width which is 12.5 × 2 + 10.75 × 2 which works out to 46 1/2 or 46.5 feet which is the answer.

The perimeter of rectangle with length of the fence is [tex]12\frac{1}{2}[/tex] feet and the width of the fence is [tex]10\frac{3}{4}[/tex] is 46.5 feet.

What is Area of Rectangle?

The area of Rectangle is length times of width.

Given,

The length of the fence is  [tex]12\frac{1}{2}[/tex] feet

[tex]12\frac{1}{2}[/tex] is changed to improper fraction 25/2

the width of the fence is [tex]10\frac{3}{4}[/tex]

[tex]10\frac{3}{4}[/tex]  is changed to improper fraction 43/4

Now we know that perimeter of rectangle =2(Length+width)

=2(25/2+43/4)

LCM of 2 and 4 is 4

=2(50+43)/4

=93/2

=46.5

Hence the perimeter of rectangle with length of the fence is [tex]12\frac{1}{2}[/tex] feet and the width of the fence is [tex]10\frac{3}{4}[/tex] is 46.5 feet.

To learn more on Rectangles click:

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4 x +2 y =1 6 // write the equation in slope-intercept form plsss
i'll give you brainliest if correct

Answers

Answer:

y= -2x+8

Step-by-step explanation:

the common required form is: y=s*x+i, where s - slope, i - interception.

According to the form and the condition y=-2x+8.

One-fourth of a number increased by thirteen is less than two.

Answers

Answer: x < -44

Step-by-step explanation:

alright my fellow dude gamer, i want you to know that "a number" is basically just x

so lets do this

[tex]\frac{1}{4}x + 13 < 2[/tex]

ok now we are going to solve for x, no?

[tex]\frac{1}{4}x < -11[/tex]

i just subtracted 13 from both sides

now we divide -11 by 1/4

[tex]x < -44[/tex]

MAGIC! ABSOLUTELY FANTASTIC! OH MY GOODNESS AHHHHHHH

what is the x intercept?

Answers

Answerrrrrrrrrr:

- 7/6

A corporation earned its profit of 2.5x10^4 for 1x10^3 days in a row. What was the corporation's total profit during this time?

Answers

Answer:

$2.6 x 10^4

Step-by-step explanation:

In 10 minutes a heart can beat 700 times.At this rate in how many minutes will a heart beat 140 times? AT what rate can a heart beat

Answers

Answer:

2 minutes

Step-by-step explanation:

700/10 = 70

1 minute = 70 times

140/70 = 2 minutes

Answer:

2 minutes

Step-by-step explanation:

The heart beats 70 times per minute so 70+70=140.

The proportion of the total area under a normal curve between two z-scores corresponds to the ______ of that range of scores.

Answers

Answer:

For any normal distribution, the mean and the median will have the same value. For any normal distribution, the proportion corresponding to scores greater than z = +1.00 is exactly equal to the proportion corresponding to scores less than z = -1.00.

Step-by-step explanation:

Mary bought 176 flowers for 4 vases. How many flowers are needed for 7 vases?

Answers

She planned to have 44 flowers per vase (176/4). 7 vases would mean 308 flowers.

50 points!!! help fast! 50 points!!!

Answers

Answer:

∠PQC = 26.25°

Step-by-step explanation:

∠B and ∠C = 75°∠PCD = 1/2∠C = 37.5°∠DPC = 180 - 90 - 37.5∠DPC = 90 - 37.5∠DPC = 52.5°∠QPC = 180° - 52.5° = 127.5°

Finding ∠PQC

1/2 × (180° - 127.5°)1/2 × 52.5°∠PQC = 26.25°

Answer:

This calculator is helpful for deciding how many tablets/capsules to dispense and/or how many days the dispensed quantity will last. It will calculate quantity of tablets/capsules needed

Step-by-step explanation:

-16=m/5 -18 prove m=10

Answers

Answer:

[tex]-16 = \frac{m}{5} - 18\\2 = \frac{m}{5}\\10 = m\\[/tex]

Step-by-step explanation:

Given the equation [tex]-16 = \frac{m}{5} - 18[/tex] isolate [tex]m[/tex]

 1.  The first is sum both sides by 18

   [tex]-16 + 18= \frac{m}{5} - 18 + 18\\2 = \frac{m}{5}[/tex]

 2. The second is multiply both sides by [tex]5[/tex]

   [tex]5 \cdot 2 =5 \cdot \frac{m}{5}\\10 = m[/tex]

So of this way you can proof that [tex]m = 10[/tex]

4 pounds of grapes cost 5$ 7 pounds of grapes cost $8.75. What is the cost per pound?

Answers

Answer:

$1.25 per pound

If their food and beverages cost $25.30 and there is an 8% meals tax, how much is the bill? Enter your answer to the nearest cent.

Answers

Answer:

32.24

Step-by-step explanation:

$2.02

($2.024 before rounded)

Fiona has $18 to spend. She spent $4.25, including tax, to buy a notebook. She needs to save $9.75, but she wants to buy a snack. If crackers cost $0.50 per package including tax, what inequality would show the maximum number of packages that Fiona can buy

Answers

Answer:

4.25+9.75+0.5x≤18

Step-by-step explanation:

4.25+9.75+0.5x≤18

14+0.5x≤18

0.5x≤4

x≤8

She can buy at most 8 packs of crackers.

Hope this helps :)

Fiona can buy maximum 8 number of packages of crackers.

What is subtraction?

Subtraction is mathematic operation. Which is used to remove terms or objects in expression.

Given that Fiona has $18 to spend and she spent $4.25 .

Now, she has the money $18 - $4.25 = $ 13.75

And she needs to save $9.75 from rest of the amount.

Therefore, $13.75 - $ 9.75 = $4

Now she has $4 to spend and one packet of crackers cost $0.50.

So $4 / $0.50 = 8 number of packages Fiona can buy with the rest of money.

Therefore, Fiona can buy maximum 8 number of packages of crackers.

To learn more about the subtraction;

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How do I solve this :
3x + y= 1 and x - 2y = 5​

Answers

Answer:

(1,-2)

Step-by-step explanation:

x - 2y = 5

3x + y= 1 (1)

x - 2y = 5

x = 5 + 2y (2)

Substitute (2) into (1)

3x + y = 1

3(5 + 2y) +y = 1

15 + 6y + y = 1

15 + 7y = 1

7y = 1 - 15

7y = -14

y = -2  (3)

Plug (3) into (1) to find x

3x + y = 1

3x + (-2) = 1

3x - 2 = 1

3x = 3

x = 1

(1,-2)

There are four consecutive integers that add up to 22 what is the greatest integer

Answers

Answer:

7

Step-by-step explanation:

We can use the equation:

x + (x + 1) + (x + 2) + (x + 3) = 22

Combine like terms

4x + 6 = 22

Subtract 6 from both sides

4x = 16

Isolate x

x = 4

Plug in x

4 + (4 + 1) + (4 + 2) + (4 + 3) = 22

Solve

4 + 5 + 6 + 7 = 22

7 is the greatest integer

7 is the greatest integer

In a scale model of a boat 1 inch represents 8 feet

Answers

Answer:That is amazing.

Step-by-step explanation:

tha t is just wonderful news, now what was the question?

Find the unit rate.

12 laps in 30minutes

Answers

Answer:

0.4/1

Step-by-step explanation:

We want a unit rate where

1 is in the denominator,

so we divide top and bottom by 30

Evaluate -(2-6)(23).
O A. -8
O B. 33
O c. - 3
O D. 8

Answers

i think it’s definitely-3

-3 c

Zidan is using the Rational Root Theorem to help find the roots of a 5th degree polynomial. He has discovered five roots and still has 4 to test. What is his next best step?
1-He should test the remaining 4 roots.
2-He should use the Factor Theorem to find the remaining polynomial roots.
3-He needs to pick one of the roots and use the quadratic formula to test it.
4-He can stop testing because he has found all the roots.

Answers

Answer:

He can stop testing because he has found all the roots.

Step-by-step explanation:

I took the test and it said I got it right.  Hope this helps!

solve for x, find the measure of all angles hurryyyyyy! ​

Answers

Answer:

Step-by-step explanation:

Well the first fact is that you can solve H and J with 1 equation. Two remote (unconnected to) one of the exterior angles when summed, equals the unconnected exterior angle.

H + j are not connected to the exterior angle at I.

Put more directly

2x + 3x = 150        Combine

5x = 150                Divide by 5

x = 150/5

x = 30

So H = 2 * 30 = 60

and J = 3*30  = 90

All triangles have interior angles that add up to 180

We have already accounted for 150.

JIH + 150 = 180  Subtract 150

jIH = 180 - 150 = 30

Summary

x = 30

JIH = 30                      

H = 60

J = 90

Write the equation of the line from the graph.​

Answers

Answer: x=-5

Step-by-step explanation:

Graph has no y intercept, thus has to be equal to x, and since its -5... x=-5 is your answer

Answer: X= -5

Step By-Step explantation:

the solution a+b>-9 is a >-15. What is the value of b
PLEASEEEEE HELP PLEASEEE

Answers

Answer:

b>6

Step-by-step explanation:

Please help! If it’s true then it’s 10 points. If it’s false then it’s 15. Don’t add up the numbers. I really appreciate it :)

Answers

1) True

2) True

3) False

4) False

5) False

6) True

7) True

8) False

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