TRUE/FALSE. If the negation operator in propositional logic distributes over the conjunction and disjunction operators of propositional logic then DeMorgan's laws are invalid.

Answers

Answer 1

This statement is false.

DeMorgan's laws are fundamental laws in propositional logic that show the relationship between negation, conjunction, and disjunction. Specifically, DeMorgan's laws state:

The negation of a conjunction is the disjunction of the negations: ¬(p ∧ q) ≡ ¬p ∨ ¬q

The negation of a disjunction is the conjunction of the negations: ¬(p ∨ q) ≡ ¬p ∧ ¬q

If the negation operator distributes over the conjunction and disjunction operators, then DeMorgan's laws are still valid. In fact, the distributive law of negation over conjunction and disjunction is sometimes called one of DeMorgan's laws. The distributive law states:

The negation of a conjunction is equivalent to the disjunction of the negations: ¬(p ∧ q) ≡ ¬p ∨ ¬q

The negation of a disjunction is equivalent to the conjunction negations: ¬(p ∨ q) ≡ ¬p ∧ ¬q

So, the distributive law of negation over conjunction and disjunction is a valid form of DeMorgan's laws.

To know more about DeMorgan's laws refer here:

https://brainly.com/question/13265106

#SPJ11


Related Questions

Jeanette wants to tile the floor of a room in her house. The square tiles measure 3/4 ft on each side. The room is 10 ft wide.
a. Write an inequality to describe how many tiles are needed to make one row of tiles across the width of the room.
b. Solve the inequality.
c. How many tiles should Jeanette buy to form one row?


A. [tex]\frac{3}{4}[/tex]t[tex]\geq[/tex]10; t[tex]\geq[/tex]13[tex]\frac{1}{3}[/tex]; 7[tex]\frac{1}{2}[/tex]

B. [tex]\frac{3}{4}[/tex]t [tex]\geq[/tex]10; t[tex]\geq[/tex]13[tex]\frac{1}{3}[/tex]; 13[tex]\frac{1}{3}[/tex]

C. [tex]\frac{3}{4}[/tex]+t[tex]\geq[/tex]10; t[tex]\geq[/tex]9[tex]\frac{1}{4}[/tex]; 10

D. [tex]\frac{3}{4}[/tex]t[tex]\geq[/tex]10; t[tex]\geq[/tex]13[tex]\frac{1}{3}[/tex]; 14

Answers

Answer:

D. 3/4>=10; t>=13 1/3; 14

Step-by-step explanation:

 

Solving the above inequality.....

So, Jeanette should buy 14 tiles to form one row.

HELPPP PLEASEEEEEEE I NEED HELP

Answers

Answer:

Part A:   -3x^8 + 2x^5 + 4x^3

Part B:   8

Part C:   3

Part D:   -3x^8

Part E:   -3

Step-by-step explanation:

A. Standard polynomial is :

[tex] - 3 {x}^{8} + 2 {x}^{5} + 4 {x}^{3} [/tex]

B. Degree of the polynomial is : 8

C. Number of terms are : 3

D. Leading term of the polynomial is:

[tex]-3 {x}^{8} [/tex]

E. Leading co effecient of the polynomial is: -3

12x + 15y = 9
−12x − 18y = −6
HELP JUST SOLVE IT

Answers

Solve for the first variable in one of the equations, then substitute the result into the other equation.
Point Form:
(2, -1)

Equation Form:
x= 2, y= -1

Answer:

x = 2, y = -1

Step-by-step explanation:

To solve a pair of equations using substitution, first solve one of the equations for one of the variables. Then substitute the result for that variable in the other equation.

12x+15y=9,−12x−18y=−6

Choose one of the equations and solve it for x by isolating x on the left hand side of the equal sign.

12x+15y=9

Subtract 15y from both sides of the equation.

12x=−15y+9

Divide both sides by 12.

x=  1/12 (−15y+9)

Multiply 1/12 ​ times −15y+9.

x = -5/4y+3/4

Substitute -5y+3/4 for x in te other equation, -12x - 18y = -6

-12 ( -5/4y+3/4) -18y = -6

Multiply −12 times -5y +3/4

15y−9−18y=−6

Add 15y to −18y.

−3y−9=−6

Add 9 to both sides of the equation.

−3y=3

Divide both sides by −3.

y=−1

Substitute −1 for y in x= -5/4y+3/4. Because the resulting equation contains only one variable, you can solve for x directly.

x= -5/4(-1)+3/4

Multiply -5/4 times -1.

x = 5+3/4

Add 3/4 to 5/4 by finding a common denominator and adding the numerators. Then reduce the fraction to lowest terms if possible.

x=2

The system is solved.

Mang Nathaniel is selling two kinds of vinegar. Silver duck is priced at Php
10 per bottle and Reyna Puti is priced at Php 15 per bottle. If he needs a
total sales of Php 600.00, how many bottles of Reyna Puti should he sell if
there were already 30 bottles of Silver duck sold?

Answers

Answer:

Reyna Puti sold = 20 bottles

Step-by-step explanation:

Silver duck = Php 10 per bottle

Reyna Puti = Php 15 per bottle

Silver duck sold = 30 bottles

Reyna Puti sold = x bottles

Total sales = Php 600.00

Total = cost of Silver duck * number sold + cost of Reyna Puti * number sold

600 = 10 * 30 + 15 * x

600 = 300 + 15x

600 - 300 = 15x

300 = 15x

x = 300/15

x = 20 bottles

Reyna Puti sold = 20 bottles

Find the unknown angle​

Answers

Answer:

A = 45°

Step-by-step explanation:

All angles in a triangle add up to 180°.

We know that one angle in the triangle is 90° (this is known because of the small square).

Hence:

A + A + 90° = 180°

Simplify

2A + 90° = 180°

Rearrange

2A = 180 - 90

2A = 90

Divide both sides by 2, so that A is by itself

A = 45°

Benjamin took a taxi from his house to the airport. The taxi company charged a pickup fee of $2.60 plus $3 per mile. The total fare was $74.60, not including the tip. How many miles was the taxi ride?

Answers

Answer:

74.60=3x+2.60

74.60-2.60=72

72/3=24

x=24

the taxi ride was 24 miles

Write your own algebraic expression with atleast four terms that can simplify to 12x+4 (PLEASE HELP ASAP)​

Answers

Answer:

4(2x + 1) + 4x   =   8x + 4 + 4x   =   12x + 4

will give brainliest to correct answer​

Answers

The answer is B

hope that helps

A measure of how much space something takes up ?

Answers

Answer:

Volume

Step-by-step explanation:

Mass is measured using a scale. Volume is the amount of space matter takes up. Volume can be measured by multiplying the length, width, and height of an object, or by using a measuring cup and seeing how the measurement of water changes in a cup. Density is the amount of matter an object has in a certain space.

Answer:

VOLUME

Step-by-step explanation:

Clancey and Ethan are starting new books. So far, Clancey has read 1/4 of his book, which has 240 total pages and Ethan read 2/3 of his book, which has 170 total pages. Who has read more pages so far,Clancey or Eathan. SHOw YOUR WORK

Answers

Answer:

Step-by-step explanation:


Given a sphere with a radius of 2 cm find its volume to the nearest whole number.

A 17 cm

B.3cm

C. 33 cm

D. 3 cm

Answers

D for sure it is Bc the whole number

What is the vertex form of 3x^2+6x+10

Answers

3x² + 6x + 10

= 3(x+1)² + 7

Vertex (h,k)
= (-1,7)

Answer:

3x2+6x−10

y=3x2+6x−10

Rewrite the equation in vertex form.

y=3(x+1)2−13

Use the vertex form, y=a(x-h)2+k, to determine the values of a h, and k.a=3h=−1k=−13 (h,k).(−1,13)

Step-by-step explanation:

Reduce 21/24
What is the answer to this?

Answers

Answer:

7/8 or 0.875

Step-by-step explanation:

În desen este reprezentat trapezul
ABCD și O punctul de intersecție a di-
agonalelor AC și BD. Completați case-
ta, astfel încât să obțineți o propoziţie
adevărată:
Dacă aria triunghiului DOA este egală
cu 20 cm², atunci aria triunghiului COB
este egală cu​

Answers

Answer:

ab hyppotenusejabqianahqiwnna. jajabanqk

A local hamburger shop sold a combined total of 376 hamburger and cheeseburgers on Sunday. There were 74 fewer cheeseburgers sold than hamburgers. How many hamburgers were sold on Sunday?

Answers

Answer:

82

Step-by-step explanation:

let X = the number of hamburgers sold

let Y = the number of cheeseburgers sold  a combined total of 328 were sold

so: X + Y = 328

cheeseburgers = 3 times the number of hamburgers sold  

so: Y = 3X

substitute 3X into the equation for Y

X + 3X = 328

4X = 328

divide both sides by 4 to get the variable X by itself

X = 82

so: 82 hamburgers were sold Friday

Answer:

There were 225 hamburgers sold on Sunday.

Step-by-step explanation:

2h - 74 = 376

h = hamburgers

2h - 74 + 74 = 376 + 74

2h = 450

2h/2 = 450/2

h = 225

Check.

hamburgers + cheeseburgers = total number of burgers

225 + (225 - 74)

225 + 151 = 376

help if you answer something not related to this I will report

Answers

Answer:

Complement of 50° = 40°

Supplement of 145° = 35°

Complement of 27° = 63°

Supplement of 50° = 130°

Step-by-step explanation:

Complementary angles add up to 90°

Supplementary angles add up to 180°

90° - 50° = 40°

180° - 145° = 35°

90° - 27° = 63°

180° - 50° = 130°

Answer:

Complement 50° = 40°

Supplement 145° = 35°

Complement 27° = 63°

Supplement 50° = 130°

Complement angles = adds up to 90°

Supplement angles = adds up to 180°

Brainly plz :))

The sum of a number and 9 is 21. Find the number.

Answers

Answer:

12

Step-by-step explanation:

HELPPP ME PLEASEEE!!!!

Answers

You need a common denominator in your case 2x4=8 ( because those are the demoninators) then 1x2=2 and 2x4=8 8/8 2/4 meaning it’s one half

Tell whether the table of values represents a linear or an exponential function.
x = -3,-2, -1,0, 1
y = 1,2,4,8, 16
The table represents
function.
The function is y=

Answers

Answer:

well if u think abut adding them or multyplying them then if u round all the numbers to the nearest 100s then u will get ur answer witch is 122 is ur answer

Step-by-step explanation:

Natilie invested $200 in a savings account that earned 4% simple interest each year. She invested for
two years without adding or taking money from her account.

A. How much INTEREST has she made? (I=PRT or Interest = Principal x Rate x Time

B. How much money does she have in total? Show work for both.

Answers

A.$16 in interest
B.$216 total after 2 years
Good luck brainliest would be appreciated

That's not an answer for me

Answers

Answer:

so you need a answer or a question

Answer:

child anywaysssss

Step-by-step explanation:

yfgxgx

HELP ASAPP! Practice 9.4 - 9.5

ONLY QUESTIONS 6,8,9 AND SHOW WORK PLEASE!!

Answers

Answer:

6.JMK=90-28

=62

STR=180-118

=62

(PROVEN)

-6x-7-4x-2 How can I solve this?

Answers

Use the distributive property method

Use PEMDAS

Parentheses first

Exponents next

Multiplication then

Division in the same step

Addition then

Subtraction

The correct answer is 10x-9

Find the area of this triangle. Round to
the nearest tenth.
20 ft
9 ft
1100
15 ft
[? ]ft2
Enter

Answers

Answer:

63.3 square feet

Step-by-step explanation:

Let a = 20 ft, B = 15 ft, c = 9ft

[tex] s=\frac{a+b+c}{2} [/tex]

[tex] s=\frac{20+15+9}{2} [/tex]

[tex] s=\frac{44}{2} [/tex]

[tex] s=22\: ft[/tex]

[tex]Area \: of \:\triangle = \sqrt{s(s - a)(s - b)(s - c)} \\ \\ = \sqrt{22(22 - 20)(22 - 15)(22 - 9)} \\ \\= \sqrt{22 \times 2 \times 7 \times 13} \\ \\= \sqrt{44 \times 91} \\ \\ = \sqrt{4,004} \\ \\ = 63.2771681 \\ \\ \approx 63.3 \: {ft}^{2} [/tex]

Please help pleaseeeeeeee ​

Answers

Answer:

it is 10.5 cm squared! I hope this helps

Can yall help its due in 30 minutes

Answers

Answer:

$462.50

Step-by-step explanation:

:))

7. What is the area of the trapezoid shown? 4 cm 10 cm 8 cm W 10 cm​

Answers

Answer:

88 ... .... . ... . . . ... ............... ....

6 x 10^8 is how many times a large as 2 x 10^3

Answers

the answer should be 3 x 10⁵

Answer:

it is 300000 time large

Step-by-step explanation:

Hope this Helped

hey guys can you help with this

Answers

Step-by-step explanation:

use the formula of area of triangle .

if B=X then h=8+x

What is the square root of 10 plus 25 minus 5 times 20

Answers

Answer: √

10

75

Step-by-step explanation:

Answer:

463.245553

Step-by-step explanation:

3.16227766+25-5 times 20

Other Questions
Plz help! If you cant answer all the questions its ok just answer at least one but all would be great! You will get a brainly! Which of the following represents a step in the nitrogen cycle? Tyranny is the abuse of power by someone in charge, like a king. Which of these is the BEST example of tyranny? *1. An emperor who forces all the citizens to give all their money to pay for his new crown.2. A queen who makes her birthday a national holiday and gives everyone the day off to celebrate it.3. A president who signs an executive order stating that all citizens are required to show ID to get on an airplane.4. A king who creates a new tax in order to pay for improved roads in the kingdom. Sandia Inc. wants to acquire a $360,000 computer-controlled printing press. If owned, the press would be depreciated on a straight-line basis over 10 years to a book salvage value of $0. The actual cash salvage value is expected to be $25,000 at the end of 10 years. If purchased, Sandia will incur annual maintenance expenses of $3,000. These expenses would not be incurred if the press is leased. If the press is purchased, Sandia could borrow the needed funds at an annual pre-tax interest rate of 10%. The lease rate would be $48,000 per year, payable at the beginning of each year. If Sandia has an after-tax cost of capital of 12% and a marginal tax rate of 40%, what is the net advantage to leasing? a. $37,737 b. $65,543 c. $60,713 d. $57,173 The greater the mass of an object. All right boys im needing points for a debate im doing for skewlBatman v Supermani need like valid points not just "supermans cooler" or "batman has technology" I REALLY NEED HELP THIS IS DUE IN AN HOURA person records a bird call as an analog wave. The sound is then stored on a computer as a digital signal. When a person wants to listen to the bird call, it needs to be converted back into an analog wave. What is an advantage of storing the bird call as a digital? help pleasehow are population composition and distribution data important in effective future planning? 70s music or russian music El alcance de tangente What property is -2x6+4=-2? (see image) Unknown? Unavailable How much mass can be lifted by a weight lifter on the surface of the moon if he can lift 100 kg on the Earth? How can critical thinking help you think of solutions to a problem? who found the disabled population in our country a. mentally challenged b. visually impaired c. physically impaired d. all the above which planet in are solar system haves most moons how long ___ (you/live) in madridpast simple or present perfect Which of the following things did vladmir not do after he was converted to christianity? Assuming each solution to be 0.10 M , rank the following aqueous solutions in order of decreasing pH.Rank the solutions from the highest to lowest pH. To rank items as equivalent, overlap themN2H2Ba(OH)2HOCLNAOHHCL help me for brainlistt