Can anyone help me answer this question?
Let A, B, C e sets. Which of the following properties is the cumulative law?
a. A ∪ B = B ∪ A
b. A ∩ B = B ∩ A
c. A ∩ B = B ∪ A
d. (A ∪ B) ∪ C = A ∪ (B ∪ C)

Answers

Answer 1

The property that represents the commutative law of sets is given as follows:

d. (A ∪ B) ∪ C = A ∪ (B ∪ C)

What is the commutative law of sets?

The cumulative law of sets states that the order in which the union operation is made does not change the resulting set of these multiple union operations.

The symbol that represents the union operation is given as follows:

∪.

Hence statement d is the correct statement of the commutative law of sets, as:

In (A ∪ B) ∪ C, the union of A and B is first obtained, and then united with set C.In A ∪ (B ∪ C), the union of B and C is first obtained, and then united with set A.

For both cases, the resulting set is the same.

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Related Questions

At a children's archery camp, the percentage of target hits at different distances from the target for several campers were recorded.
The data is shown in the scatter plot below.
у
100).
80
60
.
Target Hits (%)
40
20
0 4
8 12 16 20
Distance from Target (ft)
Which interpretation can be made from this data?
OA.
ОВ.
There is a positive association between the distance from the target and the percentage of target hits.
There is a negative association between the distance from the target and the percentage of target hits.
There is no association between the distance from the target and the percentage of target hits.
OC.
OD. There is both a positive and a negative association between the distance from the target and the percentage of target
hits.

Answers

Answer:

its  B

Step-by-step explanation:

What is the graph of the function
f(x)=−⌊x⌋

Answers

Answer:

Step-by-step explanation:

The equation being shown in the question is the absolute value of x. Absolute values when graphed show up as a V-shaped graph pointing upwards. This is because whatever value is passed as an input will output a positive, regardless of whether the input is positive or negative. Meaning that both 4 and -4 will output 4. That is why the graph is a V-shaped because the outputs repeat for both positive and negative inputs. In this case since the negative is outside the absolute value brackets the positive value given from the absolute value of the input will be turned into a negative. So this will cause the V-shape graph to be reflected across the x-axis. As seen in the attached picture below.

Answer: This is the correct answer
I just took the test. :)

Step-by-step explanation:

A textbook company states that the average time a student needs to take a quiz from its book is 30 minutes with a standard deviation of 3 minutes. A teacher using the book is not sure that this is correct for her classes and wants to check. She collects data on 10 random students and finds that the average time to take the quiz was only 25 minutes. As a result, the teacher performs a two-tailed hypothesis test with a significance level of 5%. Which conclusion is valid based on the results of the test

Answers

Answer:

We conclude that her students, on average, do not take 30 minutes on the quiz, contrary to what the textbook company states.

Step-by-step explanation:

We are given;

Population mean; μ = 30 minutes

Population standard deviation; σ = 3 minutes

Sample size; n = 10

Sample mean; x¯ = 25

Significance level = 5% = 0.05

Let's define the hypotheses;

Null hypothesis; H0: μ = 30

Alternative hypothesis: Ha: μ ≠ 30

Let's find the test statistic;

z = (x¯ - μ)/(σ/√n)

z = (25 - 30)/(3/√10)

z = -5.27

From online p-value from z-score calculator attached using, z = -5.27, significance level = 0.05, two tailed hypothesis, we have;

p < 0.00001

This is less than the significance level, and so we will reject the null hypothesis and conclude that Her students, on average, do not take 30 minutes on the quiz, contrary to what the textbook company stated.

Answer:

A. Her students, on average, do not take 30 minutes on the quiz, contrary to what the textbook company stated.

You cannot evaluate the square root of a __________________________. a. Positive number b. Negative number c. Zero d. Variable

Answers

Answer:

B, a negative number. negative numbers can't have square roots

Step-by-step explanation:

Hope this helps :)

B negative number, it’s not possible to get the root of a negative number because a negative times a negative is a positive

HELP PLEASE!!!!!!!!!!!!!!!!!!!!

Answers

Answer:

The answer is A.) y=-500x+22,000

What is a Proportional Relationship?
1. One apple costs 25¢. Determine each cost.
a) 2 apples
b) 3 apples
c) 4 apples
d) 6 apples
e) 9 apples
f) 12 apples

Answers

A two apples or $.25 each

Which equation below represents a line with a slope of - 2/3 that passes through the point (-4.5 , 10)?

A. y = - 2/3 x + 10
B. y = - 2/3 x +2.7
C. y = - 2/3 x + 7
D. y = - 2/3 x + 13

pls explain the answer if possible ^^​

Answers

Answer:

Option C

Step-by-step explanation:

If a line passes through a point, then that point is called a solution to the line's equation. Substituting the x and y values of that solution into the equation will give a true statement. So, to find out which option is correct, we can substitute the x and y values of (-4.5, 10) into each equation and see if the result is a true statement.  

Let's try this with option C. To make things easier, convert -4.5 into decimal form: [tex]-4\frac{1}{2}[/tex]. Substitute [tex]-4\frac{1}{2}[/tex] for x and 10 for y in the equation, then solve:  

[tex]y = -\frac{2}{3} x+7\\\\10 = -\frac{2}{3} (-4\frac{1}{2} )+7\\10 = -\frac{2}{3} (-\frac{9}{2})+7\\10 = 3+7\\10 = 10[/tex]

10 does equal 10, so this is a true statement. Option C is the right answer.

What is the value of the function
g(t) = 2(t-3)-4 for the input value t= 6?

Answers

Answer:

2

Step-by-step explanation:

Replace t with 6:

g(t) = 2(t-3)-4 becomes g(6) = 2(6-3)-4 = 2(3) - 4 = 6 - 4 = 2

li writes the expression “half of the sum of 9 and a number.” Write an algebraic expression that is equivalent to Ali’s expression. Write a second algebraic expression that is different from, but equivalent to, your first expression. Respond in the space provided.

Answers

Answer:

Step-by-step explanation:

.......

Answer:

The expression will be : (x+9) /2

What is algebraic expression?

An algebraic expression is an expression built up from integer constants , variables , and the algebraic operations.

Let us take the number to be : x

Now, ( half of the sum of 9 and a number ) will be : (x+9)/2

Dividing x and 9 with 2 we get,

the second expression which is different but equivalent to first will be :

=0.5 x + 4.5

Learn more about algebraic expression :

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A city built a new subway system in 2001. This graph shows the daily number of mass transit trips and the daily number of car trips people took in that city through 2007. What does the data show?
A) As the number of mass transit trips increase, so do the number of car trips.
B) The number of mass transit trips first exceeded the number of car trips in 2005.
C) The number of car trips has decreased every year since the subway system was built.
D)According to the data, the number of mass transit trips and the number of car trips do not appear to be related.

Answers

Answer:

C.

Step-by-step explanation:

This is the correct answer, because ever since the transit system was made, car rides went down and down.

What is 58 x 564 please tell me

Answers

Answer:

that is the answer 32,712

Step-by-step explanation:

your welcome.

sorry I times it by 54 instead of 58

the answer is 32,712


Inez was chosen by her teacher to find the integer that has a square root
closest to 3 without going over and write it on the board. Which correct
answer did Inez write on the board?
A. 6
B. 8
C. 10
D. 12

Answers

B. 8, since 8 is one the closest numbers to nine and is smaller than 9.

A factor of a number that, when multiplied by itself, gives the original number is called a square root.

The square root of 3 is 9.

The integer that has the nearest to the integer that has a square root of 3 is √10.

What is a square root?

A factor of a number that, when multiplied by itself, gives the original number.

We have,

9 is a square root of 3.

The nearest square root of 3 can be 8 or 10.

The value of the square root of 8.

= √8

= 2.83

The value of the square root of 10:

= √10

= 3.16

The nearest can be determined by finding out the difference between each of its values with 3.

For √8,

= 3 - 2.83

= 0.17

For √10,

= 3.16 - 3

= 0.16

We see that √10 is nearest to the integer that has a square root of 3.

Thus the integer that has the nearest to the integer that has a square root of 3 is √10.

Learn more about square roots here:

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What’s the answer to this?!!!!!

Answers

Step-by-step explanation:

here

4x - 35 = 234

Solve for 'x'.

Answers

Answer:

X= 67.25

Step-by-step explanation:

4x-35=234

Add 35 to both sides

4x= 269

Divide both sides by 4

X= 67.25

Answer:

x = 67,25

Step-by-step explanation:

Here it is given that,

x is an unknown to know. Since we are intelligent students, we will bring the unknowns to the left limb, and the numbers known in the right limb.

[tex]\:[/tex]

We can write this matematically as,

[tex]\rightarrow 4x - 35 =234[/tex]

Move the constant to the right,

[tex]\rightarrow 4x =234 + 35[/tex]

Add the numbers,

[tex]\rightarrow 4x =269[/tex]

Divide both sides of the equation by 4,

[tex]\rightarrow x =\frac{269}{4}[/tex]

We determine the value of x,

[tex]\rightarrow \underline {x=67,25}[/tex]

What is the slope and equation of a line parallel to the y-axis passing through point (-4,3)

Answers

Answer:

-4 is x and 3 is y

Step-by-step explanation:

Graph the equation by translating y = |x|.

y = |x – 3| – 4


Graph b


Graph a


Graph d


Graph c

Answers

Answer:

graph d it's your answer plz make me brainy least

Answer:

d

Step-by-step explanation:

Find the area of the figure.
14 m
5 m
2 m
16 m

Answers

Send a picture please

I don’t know if this is correct !!!!!!!!!! Please answer correctly !!!!!!!!!!! Will mark Brianliest !!!!!!!!!!!!!!!!!!!

Answers

Answer:

The first one is correct. But why can't they be proven congruent

Step-by-step explanation:

1st ones correct but 2nd one should be they are alike

The diameter of a spherical basketball is 10 inches.
What is the volume of the basketball2
Give the exact solution.
Volume


I NEED THE ANSWER FAST HELPP PLEASE

Answers

Answer:

Step-by-step explanation:

Rounded volume: 524 cubic inches.

Step-by-step solution:

The formula for the volume of a sphere is:

Where r is the radius of the sphere.

The radius is half the diameter, therefore it is r=10/2=5

We plug it into the formula and we get:

Then we get:

If we do it in our calculator we get 523.599 that rounded to the nearest whole is 524 cubic inches .

PLSS HELPPP ME IM BEGGING ITS FOR A TEST DUE IN 5 MINS!!!!!!!!!!!!!!!!!!

Answers

Cccccccccccccccccccccccccccccccc

Answer:

d

Step-by-step explanation:

Question 3
Write the rational number as a decimal.

Answers

Answer: -2.2

Step-by-step explanation:

-10 is the most possible that can be divided by 5, resulting in -2.

The leftover 1 is divided by 5, resulting in .2.

The decimal ends up being -2.2.

Answer:

-2.2 or -1.2

Step-by-step explanation:

When you want to write a decimal as a fraction, you simply divide the numerator with the denominator. So when you divide -11 by five that would be a -2.2. Or if it is -1 1/5 the answer would be -1.2. I cant really tell what that number is.

Amy is a local photographer. She charges $225 for a session and $15 for every print the customer
orders. Which of the equations below could represent the amount a photo session could cost?
A. y = 15x
B. y = 225x + 15
C. y = 225x
D. y = 15x + 225

Answers

The correct answer is D

PLZZZZ HELP THIS IS WORTH 40 POINTS PLZZZ
I’ll give extra points!!!

Answers

Answer:

1) 15

2) 10

3) 11

4) -4

5) -8

6) 12

7) 14

8) -6

Step-by-step explanation:

Substitute the values thats all lol, if u need a more detailed explanation just comment <3

Please help me best one gets brainlist and 5/5

Answers

Answer:

8

Step-by-step explanation:

Area π 1.5^2 = 7.07cm^2

Volume = 56.52 /7  = 8cm

So go for the 4th answer = 8

Jimrgrant or Anyone solve this PLZZZZZZ

Answers

Answer:

it is B and D

Step-by-step explanation:

mark brainliest or 5 stars and heart

correct me if im wrong

Answer:

B and A

Step-by-step explanation:

Calculate distance d using the distance formula

d = [tex]\sqrt{(x_{2}-x_{1})^2+(y_{2}-y_{1})^2 }[/tex]

(1) with (x₁, y₁ ) = (0, 0) and (x₂, y₂ ) = (6, 8)

d = [tex]\sqrt{6-0)^2+(8-0)^2}[/tex]

   =  √(6² + 8²)

   = √ (36 + 64)

    = √ 100

     = 10  → B

(2)

Using (x₁, y₁ ) = (- 5, 3) and (x₂, y₂ ) = (3, 15)

d = √ (3 + 5)² + (15 - 3)²

   = √ 8² + 12²

   = √ 64 + 144

    = √ 208

    ≈ 14.4 ( to the nearest tenth ) → A

The difference between three times a number and 6 is 33.
I need to write an equation for this someone help!

Answers

Answer:

Step-by-step explanation:

3x-6 = 33

= 3x = 33 + 6

= 3x = 39

x = 13

Use your answer from Part I to find the slope of a line going through each set of points. Then
describe the line as positive, negative, zero, or undefined. Show your work and explain your
answer.

A. (5, 7) and (-4,-2)

B. (1, 3) and (1, -10)


Answers

Answer:

Step-by-step explanation:

to find the slope of a line that passes for two given points we can use this formula (y2-y1)/(x2-x1). x and y inidcate the coordinates of the two points.

A (-2-7)/(-4-5) = (-9)/-9 = 1 (m is positive)

B (-10-3)/(1-1)) = the denominator is equal to zero, so the division is impossibile. This mean that m is undefined and the line is parallel to y axis

(3 + 4i) + (8 + 2i)

Answer choices
11 - 6i
5 + 12i
7 + 10i
11 + 6i

Answers

Answer:

11+6i

Step-by-step explanation:

vectors addition

(3+8) +(4i+2i)

11+6i

A small airplane is approaching a stationary crowd at 100 meters per second. The engine of the plane is emitting a sound of 485 Hz. What is the apparent frequency as it approaches the crowd?

Answers

Answer:

695.87 Hz

Step-by-step explanation:

Using the equation for Doppler shift, the frequency of the apparent sound is f' = f(v ± v')/(v ± v") where f = frequency of sound emitted by the plane's engine = 485 Hz, v = speed of sound in air = 330 m/s, v' = speed of crowd(detector) = 0 m/s (since the crowd are stationary) and v" = speed of plane(source) = 100 m/s

So, f' = f(v ± v')/(v ± v")

f' = f(v ± 0)/(v ± v")

f' = fv/(v ± v")

Since the source moves towards the detector, we use a minus a minus sign in the denominator to get a shift upwards in frequency since a shift upwards means the objects are moving closer to each other.

So,

f' = fv/(v - v")

Substituting the values of the variables into the equation, we have

f' = 485 Hz × 330 m/s/(330 m/s - 100 m/s)

f' = 160050 Hzm/s ÷ 230 m/s

f' = 695.87 Hz

Can you help me solve this pls

Answers

Answer:

use the Pythagorean therm = choice D

Step-by-step explanation:

find the square root of 3(squared) + 4(squared) = 5

then the square root of 5(square) + 12(squared) = 13

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