If A ⊂ B, then A ∩ B = A ∪ B. a) sometimes b) always c) never

Answers

Answer 1

The Answer is Never- Hope this helps and have a great day!

Explanation:

We are given that set  A⊂B .

This means that set A is properly contained in set B.

i.e. A≠B

This means that there are some elements in set B which are not in set A.

Now we have to show whether the following property A∩B=A∪B

always, sometimes or never hold.

As A is a proper set of B.

This means that: A∩B=A ( Since A is a smaller set)

Also, A∪B=B  (Since B is a bigger set)

                  Hence, A∩B ≠ A∪B  (Since A≠ B)

Credit to -virtuematane


Related Questions

Solve

6x + 5 = 3x + 14

Answers

Answer:

x = 3

Step-by-step explanation:

Step 1: Subtract 3x from both sides.

6x + 5 − 3x = 3x + 14 − 3x

3x + 5 = 14

Step 2: Subtract 5 from both sides.

3x + 5 − 5 = 14 − 5

3x = 9

Step 3: Divide both sides by 3.

[tex]\frac{3x}{3} = \frac{9}{3}[/tex]

x = 3

Hope it helps!!

The solution of the linear equation with a single variable 6x + 5 = 3x + 14 will be 3.

What is the solution to the equation?

The allocation of weights to the important variables that produce the calculation's optimum is referred to as a direct consequence.

The definition of simplicity is making something simpler to achieve or grasp while also making it a little less difficult.

The equation is given below.

6x + 5 = 3x + 14

Simplify the equation, then we have

6x + 5 = 3x + 14

6x - 3x = 14 - 5

3x = 9

x = 3

The solution of the linear equation with a single variable 6x + 5 = 3x + 14 will be 3.

More about the solution of the equation link is given below.

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Look at the equation below.
d=(ri+r2)t
Which of the following shows the equation solved correctly for 11?
O ri=
n1 = 12
T =
det
T2
r = -2
O T1= .
dra

Answers

Answer:

D

Step-by-step explanation:

An object was moving at a rate of 18.2 feet per second for 38.5 seconds. How far did the object travel?

Answers

Answer:

700.7

Step-by-step explanation:

You're looking for distance. So all you have to do is  18.2 x 28.5 and you'll get your answer.

Hope this helps. :)

The distance travelled 700.7 feet

What is speed- distance formula?Speed = Distance/Time – This tells us how slow or fast an object moves. It describes the distance travelled divided by the time taken to cover the distance. Speed is directly Proportional to Distance and Inversely proportional to Time. Hence,Distance = Speed X Time, and Time = Distance / Speed, as the speed increases the time taken will decrease and vice versa.

given:

speed= 18.2 ft/ sec

time= 38.5 sec

So,

speed= Distance/ time

distance= speed * time

             = 18.2 * 38.5

             = 700.7 feet

         

Learn more about speed here:

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consider the following figure

Answers

Answer:

that look like  complementry and supplementry angles

Step-by-step explanation:

Answer:

Hello!!! Princess Sakura here ^^

Step-by-step explanation:

<a & <h are alternate exterior angles because they're a pair of angles on the outer side of each of those two parallel lines but on opposite sides of the transversal.

HELP!!
Are triangles ABC and ALM congruent

A. Yes by AA

B. Yes by SSS

C. Yes by SAS

D. They are not similar

Answers

Answer:C

Step-by-step explanation:

which set of numbers represents a Pythagorean triple
6,9,12
7,10,12
16,18,25
27,36,45

Answers

Answer:

27,36,45

Step-by-step explanation:

Pythagorean theorem

[tex]a^{2} +b^{2} =c^{2}[/tex]

[tex]6^{2}+ 9^{2}\\ =117\\\neq 12^{2}[/tex]

[tex]7^{2}+ 10^{2}\\ =149\\\neq 12^{2}[/tex]

[tex]16^{2}+ 18^{2}\\ =580\\\neq 25^{2}[/tex]

[tex]27^{2}+ 36^{2}\\ =2025\\= 45^{2}[/tex]

Which relationship is an inverse variation?


x 2 4 6 8
f(x) 12 6 4 3



x 1 2 3 4
f(x) –1 –2 –3 –4



x 1 2 3 4
f(x) 4 16 36 64



x 2 4 6 8
f(x) 6 12 18 24

Answers

The relation that is an inverse variation is the one in the first table:

x 2 4 6 8

f(x) 12 6 4 3

Which relation is an inverse variation?

An inverse variation between two variables x and y can be written as follows:

y = k/x

Where k is a constant.

Notice that x is on the denominator, so, as x increases, the value of y decreases.

Now, for example if we use the values of the first table:

x 2 4 6 8

f(x) 12 6 4 3

The first pair is (2, 12)

Replacing that in the inverse variation formula we get:

12 = k/2

12*2 = k

24 = k

For the second pair (4, 6) we will get:

6 = k/4

6*4 = k

24 = k

And so on for all the pairs. If the variation is inverse, you should always get the same value of k (like in this case).

So this is the correct answer.

Learn more about inverse variations:

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solve for the perimeter

Answers

Answer:

can you provide more information and explain

Step-by-step explanation:

find the length of the angle inducated for each trapezoid.​

Answers

First things first: all quadrilateral have an interior of 360⁰. With that info, you can do your exercice.

the first one:

the angle P =90⁰

the angle Q=90⁰

So you do the deduction:

360⁰-90⁰-90⁰-65⁰= 115⁰

the second one:

the angle F=60⁰

so you do the same thing as number one:

360⁰-60⁰-60⁰= 240⁰

240⁰/2= 120⁰

Voilà!

Which expression is equivalent to sin(20°)cos(80°) – cos(20°)sin(80°)?

sin(–60°)
cos(–60°)
cos(60°)
sin(60°)

Answers

Answer:

A. sin(-60°)

Step-by-step explanation:

test on edge

Answer of given expression is sin(-60°)

What is Trigonometric functions?

Trigonometric functions defined as the functions which show the relationship between angle and sides of a right-angled triangle.

Given expression,

sin(20°)cos(80°) – cos(20°)sin(80°)

sin(A-B) = sinA.cosB – cosA.sinB

∴ sin(20°-80°)

So, sin(-60°)

Learn more about Trigonometric functions

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What is the distance from. P to n, shown in the figure?

A. -3
B. 1
C. 4
D. 5​

Answers

Answer:

-5

Step-by-step explanation:

y2-y1/x2-x1

0-5/4-3

-5/1

Is -12 divided by -5 a rational number or irrational

Answers

Answer:

Rational

Step-by-step explanation:

Hope this helps!!

Any terminating decimal is a rational number. 2.4=2 4/10 or 24/10 which reduces to 12/5 To integers represented

2b/3-5=3 what is the value of b​

Answers

Answer:

‒3

Step-by-step explanation:

2b/3‒5=3

2b=3(3‒5)

2b=3(‒2)

2b=‒6

2b/2=‒6/2

b=‒3

you can proof as the following(by replace ‒3)

2(‒3)/3‒5=3

‒6/‒2=3

3=3

i hope it helps you

The temperature of a liquid is changing by -4.32 degrees celsius per minute. What will be the temperature change, in degrees Celsius over a period of 6.5 minutes?

Answers

Answer:

-28.08 degrees celsius

BRAINLIEST ANSWER! please show the steps

-6k-24 > = 6 (1-2k)

Answers

Answer:

Step-by-step explanation: first multiply 6x1 and 6x2k on the right= -6k-24>=6-12k

Then add 12k to both sides. (positive) 6k-24>=6 Then add 24 to both sides.

6k>=30  Divide. 6/6 and 30/6 and your answer is 5

Care to help please!!

Answers

Answer:

M= the slope or the gradient

B= the y-intercept

y= the output value

x= the input value

Step-by-step explanation:

Answer:

m = 2

b = 8

y = 2x+8

Dave answered 28 questions out of 40 correct on a test. What percent did he answer correctly?

Answers

Answer:

70 percent

Step-by-step explanation:

first divide your part by your total: 28/40

then multiply the result by 100

so, 28/40=0.7. 0.7×100=70 percent

The Batmobile broke down so Batman went to the car dealership to purchase a new car. Batman negotiated the price of his car to an even $40,000. If Batman pays 8% tax for his car, how much will he pay total with tax?

(Please also show work)

Answers

Answer:

$43,200

Step-by-step explanation:

40,000*0.08=3,200

40,000+3,200=43,200

Hope this helps!

Estimate the value of 13 (between which two whole number)

Answers

Answer:

C

Step-by-step explanation:

between three and four

it would be probably 4

Can anyone please help me with number 2 ❤️

Answers

Answer:

[tex]A = 101.5825591635[/tex]°

Step-by-step explanation:

We can use the law of cosines.  We have a triangle with side lengths as attached. (See image.)

So we want to solve for angle A.

We do this by using:

[tex]cos(A)=(b^2 + c^2 - a^2) / (2bc)[/tex]

Here we have:

a = 36

b = 27

c = 19

So we plug in to get:

[tex]cos(A)=(27^2 +19^2-36^2)/(2*27*19)[/tex]

[tex]cos(A)=-0.20077972709[/tex]

[tex]A = 101.5825591635[/tex]°

Could someone help me out pls? I’m taking a test and I’d love help on this thanks <3

Answers

Answer:

AC = DE

Step-by-step explanation:

10.15-10.16 with fractions

Answers

10.15-10.16=-.01, which is -1/100

15 1/2 + 12 2/3 + 10 3/4 as a mixed number in simplest form help asap

Answers

Answer:

37 23/12

Step-by-step explanation:

First, make them all have a common denominator.(12) Then, multiply as needed. Lastly, add all three number together.

Answer:

38 11/12

Step-by-step explanation:

Turn all denominators to 12. what you do the the bottom due to the top.

What is the slope of the line? (Picture)

Answers

the slope will be 8/5

f (x)=-x2 + 4x, solve for f(3)

Answers

Answer:

f(3) = 6

Step-by-step explanation:

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

f(3) = -6 + 12

f(3) = 6

For each representation below, decide if it is a function. justify your answer. ( I literally don’t understand this please help, THANK YOU!:)

Answers

Answer:The Answer is Answer is B

I need help in MATH!!!!!!!!!!

Answers

I think the answer is 41 bc 17+24=41

Answer:

XZ=41

Step-by-step explanation:

I'm pretty sure all you do is add 17 to 24

pls help how do you do this??

Answers

-1 1/5 * 6      -1 5/6 * 5

-1 6/30    divided by     -1 25/30

-4/30

i think thats the answer sorry if im wrong :(

Order the values from least to greatest
|-7|
-2
|-6|
-6
10

Answers

Answer:

-6, -2, |-6|, |-7| 10

Step-by-step explanation:

A train goes at a constant speed. If it covers 150 miles in 2 1 2 hours,

What distance would it cover in 7 hours?

Answers

Answer: I think is 420 miles in 7 hours

hope this helps :D

Step-by-step explanation:

Answer:

A train would cover 180 miles in 3 hours, So in 6 hours it will cover 360 miles, in 7 hours it will cover 420 miles.

Step-by-step explanation:

150 miles → 2 1/2 hours = 150 minutes

x miles     → 3 hours = 180 minutes

(150 × 180) ÷ 150 = x miles

27,000 ÷ 150 = x miles

180 = x miles

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