Consider N{A} = 4 and N{B} = 5. (a) What is the smallest number possible for N{A ∩ B}? (b) What is the largest number possible for N{A ∪ B}?

Answers

Answer 1

Answer:

(a) N{A∩B} = 0

(b) N{A∪B} = 9

Step-by-step explanation:

Union of two sets: This can be defined as the sum of all the elements of the two sets without writing one element twice. it is denoted by the symbol ∪

Intersection of two sets; This is the set of elements that appears in both sets. It is denoted by the symbol ∩

From the question above,

assuming there is no repetition element in both set,

(a) The smallest number possible for N{A∩B} = 0

(b) The largest number possible for N{A∪B} = 4+5 = 9.


Related Questions

i need it in 4min or less Which of the following could be true if one decreases their long term liability and increases their liquid assets? a. Paid off credit card balance and added money to savings. b. Paid off medical bills and invested money. c. Paid down mortgage and received a cash prize. d. Paid taxes owed and bought a car.Which of the following could be true if one decreases their long term liability and increases their liquid assets? a. Paid off credit card balance and added money to savings. b. Paid off medical bills and invested money. c. Paid down mortgage and received a cash prize. d. Paid taxes owed and bought a car.

Answers

Answer:

C. Paid down mortgage and received a cash prize.

Answer:

c

Step-by-step explanation:

simplify (5m-2n)². please help me with this.​

Answers

Answer:

25 m^2 -20mn +4n^2

Step-by-step explanation:

(5m-2n)²

(5m-2n)(5m-2n)

FOIL

first 5m*5m = 25m^2

outer 5m*-2n = -10mn

inner -2n * 5m = -10mn

last -2n * -2n = 4n^2

Add together

25m^2 -10mn -10mn + 4n^2

25 m^2 -20mn +4n^2

if two points are givin, then exactly one line can be drawn through those two points. which geomerty trem does the statement represent

Answers

Answer:

the correct answer is

Step-by-step explanation:

hope this helps u!!

What is f(0) given f(x) = 5(x + 2)2 - 10? ​

Answers

Answer: C) 10

Work Shown:

The idea is to replace x with 0 and then use PEMDAS to simplify.

f(x) = 5(x+2)^2 - 10

f(0) = 5(0+2)^2 - 10

f(0) = 5(2)^2 - 10

f(0) = 5(4) - 10

f(0) = 20-10

f(0) = 10

Answer:

10

Step-by-step explanation:

[tex]f(x) =5(x+2)^2 -10\\\\f(0) = 5(0+2)^2 -10\\\\= 5(2)^2-10\\\\5(4)-10\\\\20-10\\\\f(0) =10[/tex]

20 points!!! pls help

Answers

Answer:

C

Step-by-step explanation: c and d are not aligned unlike the rest of them.

Hi, I'm very fonfused on what to do here.​

Answers

Answer:

C) 212.53

Step-by-step explanation:

3x60=180 (3 minutes is 180 seconds)

180+32.53=212.53 seconds

In the diagram, JOK and MON are straight lines. Angle NOP and Angle NOQ are complimentary angles. Calculate the value of x - y.

Answers

Answer:

x - y = 118

Step-by-step explanation:

Since ∠ NOP and ∠ NOQ are complimentary then ∠ POQ = 90°

Since JOK is a straight line then

∠ JOP + ∠ POQ + ∠ QOK = 180 , that is

76 + 90 + y = 180

166 + y = 180 ( subtract 166 from both sides )

y = 14

Since MON is a straight line then

∠ MOK + ∠ KOQ + ∠ QON = 180, that is

x + 14 + 34 = 180

x + 48 = 180 ( subtract 48 from both sides )

x = 132

Thus

x - y = 132 - 14 = 118

A bank charges a 14% interest per annum on a loan. What is the interest rate if charged yearly?

Answers

Answer:  Per annum means yearly so the interest rate will be 14% as well.

Step-by-step explanation:

1. Which of the following is a rational number? (4 points)
V15, 116, 121, V22
O V15
O V16
O V21
O √22
Please I need help!

Answers

V16 is a rational number

NEED HELP ASAP ALGEBRA 2​

Answers

Answer:

a=9

Step-by-step explanation:

We can use the Pythagorean theorem since this is a right triangle

a^2 + b^2 = c^2

a^2 +40 ^2 = 41^2

a^2 + 1600 = 1681

a^2 = 1681-1600

a^2 = 81

Take the square root of each side

sqrt(a^2) = sqrt(81)

a = 9

Answer:

9.

Step-by-step explanation:

Pythagoras Theorem is used in this case:

a² + b² = c²

a² + 40² = 41²

a² + 1600 = 1681

a² = 1681 - 1600

a² = √81

a = 9

9 is the third answer.

What is f(-4) for the function f?
f(x) = 2x + 3

Answers

Answer:

[tex]\Huge \boxed{{f(-4)=-5}}[/tex]

Step-by-step explanation:

The function f(x) is given.

f(x) = 2x + 3

f(-4)

The input for the function f(x) is -4.

x is the input value.

x = -4

Replace x with -4.

f(-4) = 2(-4) + 3

Solve for the brackets.

f(-4) = -8 + 3

Evaluate.

f(-4) = -5

Answer: f(-4) = -5

Step-by-step explanation: Here we're given the function

f(x) = 2x + 3 and we're asked to find f(-4).

In other words, if we put a x into our function, we get a 2x + 3 out.

So what happens when we put a -4 into the function?

Well if we put a -4 into the function, that's f(-4), we get a 2(-4) + 3 out.

Now all we have to do is simplify on the right side.

2(-4) is -8 so we have -8 + 3 which is -5.

So f(-4) is -5.

change to a whole or mixed 17/5

Answers

Answer:

3  2/5

Step-by-step explanation:

17/5

How many times does 5 go into 15

5*3 =15   3 times

17-15 =2  so there is 2 left over.  This goes over the denominator

3  2/5

Answer:

3 2/5

Step-by-step explanation:

[tex]17/5 = 17 \div 5 = 3\:remainder\: 2\\\\= 3\frac{2}{5}[/tex]

Please help! Offering brainiest and 5 stars with thanks

Answers

Answer:

The answer is 21 people

Answer:

[tex]\huge\boxed{12 \ People}[/tex]

Step-by-step explanation:

According to the ranges in Histogram:

People who took 4-6 hours to finish = 12 people.

simplify : -2(3v -6)

with steps too please​

Answers

Answer:

-6v - 12

v = -2

Step-by-step explanation:

Simplify:

Apply the rules of the distributed property by multiplying -2 and 3v and -2 and -6: -6v - 12

Solve:

Now that we have our simplified form, we can find what v is. First divide each side by -6 to cancel out the -6 next to v. It should now look like this: v = -2

Define the terms factor and quantity. Then for the expression −3(4+x)(z−2−y), list all of the factors, and specify which are quantities.

Answers

Answer:

A factor are numbers or variables that can be being multiplied to each other to get another number. A factor is a quantity which is used to multiply or divide another quantity to indicate a measurement difference

A quantity is the total number or amount and it is the subject in a given mathematical operation

In the expression, -3×(4 + x)×(z - 2 - y), the factors are;

-3, (4 + x), and (z - 2 - y)

The quantities are the values that are subject to the mathematical operations including;

3, 4, x, z, 2, and y

Step-by-step explanation:

Enter the appropriate abbreviations.

Answers

Answer:  gal / min

                 

Step-by-step explanation:

10-9/3 with an explanation

Answers

Answer:

Brainliest!

Step-by-step explanation:

you know -9/3 = -3

10-3 = 7

so the answer is 7

-9 divided by 3 is -3

10+-3=7


1) A rectangular carpet has a perimeter of 288 inches. The length of the carpet is 96 inches more than the
width. What are the dimensions of the carpet?

Answers

Answer:

The width is 24 inches and the length is 120 inches.

Step-by-step explanation:

Let x represent the width of the carpet

The length can be represented by x + 96

Create an equation:

x + x + x + 96 + x + 96 = 288

Add like terms and solve for x:

4x + 192 = 288

4x = 96

x = 24

So, the width is 24 inches. Plug this into x + 96 to find the length:

x + 96

24 + 96

= 120

So, the width is 24 inches and the length is 120 inches.

7. How does using a bar diagram help you in predicting the solution to ratio and rate problems?
8. How can you use a bar diagram to check the accuracy of the solution to a ratio or rate problem?
My sister need help asap​

Answers

Answer:

7) ratio and rate are actually the same thing

they gives a fixed value when two quantities when plotted on a bar diagram helps in determining as well as predicting the solution of the problem.

I'm not sure about 7

The length of a rectangle is 3 times its width. The perimeter of the rectangle is 56 inches. What are the dimensions of the rectangle?

Answers

Answer:

Width=7

Length=21

Step-by-step explanation:

Width=x

length=3x

x+x+3x+3x=56

8x=56

x=7

width = x = 7

length = 3x = 21

Answer:

Length = 21 and Width = 7

Step-by-step explanation:

Length (L)= 3x width (W)

L = 3W

Perimeter (P) = 56

Perimeter = 2L + 2W

56 = 2(3W) + 2W

56 = 6W + 2W

56 = 8W

W = 56/8

W = 7

L = 3W

L = 3(7)

L = 21

therefore Length = 21 and Width = 7

which is a defind term a angle b line c point d plane​

Answers

Answer:

a angle

Step-by-step explanation:

Point, line, and plane are undefined terms.

Angle is a defined term.

Lee can make 18 cookies with two cups of flour. How many cookies can he make with three cups of flour?

Answers

Answer:

he can make 27 cookies.

Step-by-step explanation:

9×2 is 18

9×3 is 27

Answer:

27 cookies

Step-by-step explanation:

First find how many cookies one cup of flour can make:

18/2

9 cookies per one cup of flour.

Now find how many cookies three cups of flour can make:

9 cookies = 1 cup of flour

? = 3 cups of flour

9 × 3 = 27

Therefore:

3 cups of flour can make 27 cookies.

Calculate the slope.

Answers

Answer:  2/3

Step-by-step explanation:

Since the line is going through the origin it slope will use the formula  y/x = k where k is the slope. So you can use any point on the number line to determine the slope.

use the point (3,2)  using the formula y/x = k   divide the y by x.

k = 2/3

Answer: 0.67

Step-by-step explanation:

Look at the points (3,2), (6,4), and (9,6)

If a number line shows tick marks that are not labeled, can you determine the coordinate of a point located at an unlabeled tick mark?

Answers

If other tickmarks are labeled, then you could do some detective work (of sorts) to figure out the unlabeled tickmarks.

For example, let's say we had a number line with 1,2,3,... and let's say that 7 was covered up or erased or smudged. So we have 1,2,3,4,5,6,__,8,9. We could then easily determine that 7 must go in that blank spot. This is just one example of course.

Another example could be that if we had a tickmark right in the middle of two whole numbers, say 0 and 1. This unlabeled tickmark would most likely be 1/2 = 0.5 as its at the halfway point between 0 and 1.

How many terms are shown? 3x-2y+4-3z

A. 1
B. 2
C. 3
D. 4

Answers

The answer is D i’m pretty sure but i’d get that checked out again

The temperature at 9:00pm one evening was 40 Fahrenheit. Over the next 4 hours the temperature dropped at n average rate of 3 per hour. What was the temperature at 1:00am?

Answers

Answer:

28 degrees Fahrenheit

Step-by-step explanation:

If the temperature at 9:00pm one evening was 40 Fahrenheit. And for the next 3 hour it dropped 3 degrees per hour then it would be

40 - 4 times 3 =

40 - ( 4 times 3 ) =

40 - 12 = 28 degrees Fahrenheit

In right angled triangle (not drawn to scale) measurment (in cm) of two sides are indicated in figure Find value of x in case. (pic is attached on which figure is drawn)

Answers

Answer:

5.29 units

Step-by-step explanation:

By Pythagoras theorem:

[tex] {6}^{2} + {x}^{2} = {8}^{2} \\ 36 + {x}^{2} = 64 \\ {x}^{2} = 64 - 36 \\ {x}^{2} = 28 \\ x = \sqrt{28} \\ x = 5.29150262 \: units \\ x \approx 5.29 \: units[/tex]

Is there any theorem or postulate that could prove that CB and EF are congruent? it could be multiple steps but i have no idea. ill give brainliest if its right :)

Answers

Answer:

AAS (angle, angle, side)

Step-by-step explanation:

If two angles and the non-included side of one triangle are equal to the corresponding angles and side of another triangle, the triangles are congruent. The Angle Side Angle Postulate (ASA) says triangles are congruent if any two angles and their included side are equal in the triangles. An included side is the side between two angles. hope this helps you :)

Daniel glues two pieces of wood together as part of a model. One piece is 1/2 inch long, and the other is 3/4 inch long. What is the total length of the wood when glued together?
5 points

Answers

Answer:

5/4

Step-by-step explanation:

Total length = Sum of the length of the two pieces of wood :

[tex] \frac{1}{2} + \frac{3}{4} \\ lcm = 4 \\ [/tex]

Adjust values according to the lcm

[tex]4 \div 2 \times 1 = 2 \\ 4 \div 4 \times 3 = 3 \\ = \frac{3 + 2}{4} \\ = \frac{5}{4} [/tex]

Answer:

(I think it MIGHT be) 5/4

Step-by-step explanation:

The girl that answered me up above is right

[tex]M\times 2^3\times 3^7=6^7.[/tex]. Find M.

Answers

Step-by-step explanation:

steps by steps are in the picture I hope this helps you!

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