Mathematics High School

The Truth Table Represents Statement P,Q,R

Which statement is true for rows A, C and E

R—> (p^q)
R—>(p v q)
(q^r)—>p
(q v r) —>p

Answers

Answer 1

Recall that a ⇒ b ≡ ¬a ∨ b.

• r ⇒ (p ∧ q) ≡ ¬r ∨ (p ∧ q)

In row C, q is false so p ∧ q false, and r is true so ¬r is false.

¬r ∨ (p ∧ q) ≡ false ∨ false ≡ false

• r ⇒ (p ∨ q) ≡ ¬r ∨ (p ∨ q) = p ∨ q ∨ ¬r

In each of rows A, C, and E, at least one of p or q is true, so

p ∨ q ∨ ¬r = true

• (q ∧ r) ⇒ p ≡ ¬(q ∧ r) ∨ p ≡ (¬q ∨ ¬ r) ∨ p = p ∨ ¬q ∨ ¬r

In row E, p is false and both q and r are true, so ¬q and ¬r are both false.

false ∨ false ∨ false = false

• (q ∨ r) ⇒ p ≡ ¬(q ∨ r) ∨ p ≡ (¬q ∧ ¬r) ∨ p

In row E, p is false and both q and r are true, so both ¬q and ¬r are false.

(¬q ∧ ¬r) ∨ p ≡ (false ∧ false) ∨ false ≡ false ∨ false ≡ false

Related Questions

find the volume of this prism

Answers

Answer:

264 cm³

Step-by-step explanation:

The product two consecutive odd numbers is 63find the number

Answers

Answer:

These results, 7 and 9, have a product of 63, as stated.

Step-by-step explanation:

Represent the first odd number by x and the first consecutive odd number by x + 2. Then the product of these two numbers is x(x + 2) and it equals 63.

Solve for x. Perform the indicated multiplication, obtaining

x^2 + 2x - 63 = 0

Solve this by factoring: (x + 9)(x - 7) = 0

Then x could be either -9 or +7. If we let x = 7 then the first consecutive odd number is 7 + 2, or 9. These results, 7 and 9, have a product of 63, as stated.

. A circulating pump consumes 450 W for 24 hr a day. a. Determine the energy consumed for a one-year period. b. Calculate the utility energy charges for this period at a rate of $0.12/kWh. c. Determine the energy saved for a one-year period, if the pump is switched off 8 hr a day. d. Calculate the energy cost savings for this period at a rate of $0.12/kWh, if the pump is switched off 8 hr a day.

Answers

Answer:

a. 3942 kWh

b. $473.04

c. 1314 kWh

d. $157.68

Step-by-step explanation:

There are 1000 W in 1 kW, so 450 W = 0.450 kW. The energy used per day is ...

(0.45 kW)(24 h) = 10.8 kWh . . . . energy per day

Then in a 365-day year, the energy used is

(365 da/yr)(10.8 kWh/da) = 3942 kWh/yr

At the rate of $0.12/kWh, the cost of running the pump is ...

($0.12/kWh)(3942 kWh/yr) = $473.04/yr

Switching the pump off for 1/3 of the time will save 1/3 of the energy found in part (a):

1/3(3942 kWh) = 1314 kWh . . . . energy saved by switching off the pump

The savings will be 1/3 of the cost of running the pump full time:

1/3($473.04/yr) = $157.68/yr

Eugene is purchasing clothing to make different outfits. Each outfit consists of a top, a bottom and a pair of shoes. Eugene found 2 pairs of shoes and 4 bottoms he would like to purchase. What is the minimum number of tops Eugene needs to purchase to make at least 35 different outfits? Express your answer as a whole number.

Answers

Answer:

Step-by-step explanation:

1)
If X= ( 8° - 7n - 1 : n € N )
And
Y = ( 49 ( n - 1 ) : n € N ) then ??

Notes :-
•Don't spam
•Need Genuine Answer
•Don't give copied answer from web .

Answers

Answer:

[tex]to \: know \: the \: answer \: [/tex]

[tex]refer \: to \: the \: above \: attatchment[/tex]

Hope this helps you XD ✌️Carry on learning !!

How do you know 72/80 is greater than 7/8? Explain

Answers

Answer:

Step-by-step explanation: I know that 72/80 is greater than 7/8 because when we make 7/8 as the same denominator as of 72/80 it is only 70/80 which is smaller than 72/80.

What happens to the value of the expression 20 + a, a as a increases?

Answers

Answer:

With the increase of the value of a ,the value of the expression 20+a will also increase.

Step-by-step explanation:

the average score of the five tests was 83. The first 4 scores were 91, 78, 86, 72. What was the score of the 5th test. Thank you so much!

Answers

Answer:

Step-by-step explanation:

If the sales tax in a town is 5% and Amanda pays $10 in tax on her purchase what was the cost of the item?

Answers

Answer:

$200

Step-by-step explanation:

If the tax is 5%, then she pays $5 for every $100. If she paid $10 in tax, her purchase was $200.

is the equation in the picture true or false?

Answers

Answer:

false

Step-by-step explanation:

I hope this helps!!

What is greater 7 or -7

Answers

7 is greater because it’s a positive and above 0, -7 is under 0 which is considered a negative

Hello there!

7 is greater than -7, because positive numbers are always greater than negative ones.

a>-a

The > sign means "greater than"

Hope it helps.

~A lonely teen who helps others with a smile

-Grace :-)

Good luck.

I would appreciate it if you can help me with this.

Answers

Answer:

[tex]450000 \leqslant 15000 + 4t[/tex]

BRAINLIEST!Blake is the Human Resources manager for a correctional facility. What is one task that Blake might have as part of his job?

A.
confirming appointments for the director of the facility

B.
looking over the costs of new supplies for the facility

C.
mediating a dispute between two employees

D.
organizing the outdoor video surveillance of the facility

Answers

The answer is A confirming appointments for the director of the facility

Answer:

Organising the outdoor video surveillance

Step-by-step explanation:

See he is a manager.

His work is to take care of all resources of companyVideo surveillance must be used for security

I need help with this math help please!

Answers

Answer: R= 7

Step-by-step explanation:

Answer:

[tex]\huge\boxed{\sf t = 7}[/tex]

Step-by-step explanation:

-8 (4 - t) = 24

-32 + 8t = 24

Add 32 to both sides

8t = 24 + 32

8t = 56

Divide both sides by 8

t = 7

[tex]\rule[225]{225}{2}[/tex]

Hope this helped!

~AH1807

Is 1 1/30 more or less then 1 1/2 gallons

Answers

Answer:

less

Step-by-step explanation:

1/30 is less than 1 1/2 gallons

help please!!!!! I need it

Answers

Answer:

it is 7x-4

Step-by-step explanation:

A can contains 48 cups of fruit juice. How many gallons of fruit juice does the can contain?

Answers

Answer:

Step-by-step explanation:

PLEAZEEE HELP ME PLS WILL GIVE BRAINLIEST

Answers

Answer:

2q+7r+8

Step-by-step explanation:

(q+3)+(q+2)+(7r+3)

Brainliest is very apprieciated!

75% of 32 students are interested in Mathematics. How many are not interested in Mathematics ?

Answers

Answer:

The answer is 8!

Step-by-step explanation:

75% is 3/4 of 100 so you take 32÷4 and get 8, hope this helps:)

75% of 32 students are interested in Mathematics.Therefore, number of students who are interested in Mathematics [tex] = 75\% \: \: of \: \: 32 \\ = \frac{75}{100} \times 32 \\ = \frac{3}{4} \times 32 \\ = 3 \times 8 \\ = 24[/tex]So, number of students interested in Mathematics is 24.Therefore, number of students who are not interested in Mathematics = 32 - 24 = 8So, 8 students are not interested in Mathematics.

Alternative method:

Percentage of students who are interested in Mathematics = 75%Then, percentage of students who are not interested in Mathematics = (100 - 75)% = 25%Therefore, number of students who are not interested in Mathematics [tex] = 25\% \: \: of \: \: 32 \\ = \frac{25}{100} \times 32 \\ = \frac{1}{4} \times 32 \\ = 1 \times 8 \\ = 8[/tex]

Answer:

Hope you could get an idea from here.

Doubt clarification - use comment section.

x/5 - 74 = 26

what is x

Answers

Step-by-step explanation:

x/5 - 74 = 26

x/5 = 26 + 74

x/5 = 100

x = 100 x 5

x = 500

What should the IUPAC name for a binary covalent compound lack? prefixes Roman numerals an -ide ending the name of a nonmetal.

Answers

The IUPAC name for a binary covalent compound lack prefixes such as mono, di, tri tetra etc.

A binary compound is a compound that is composed of only two elements. Many binary compounds could be made up of a metal and a nonmetal or even two nonmetals as the case may be. Examples of binary compounds include; SO2, NaH, K2S etc.

We must note that a binary covalent compound uses Roman numerals to indicate the oxidation state of the central atom in the compound. For instance, SO2 is called Sulfur IV oxide.

Hence, the IUPAC name for a binary covalent compound lack prefixes such as mono, di, tri tetra etc.

Lear more about IUPAC: https://brainly.com/question/11587934

5) If 5 times a number is increased by 4, the result is at least 19. Find the least possible
number that satisfies these conditions.

Answers

Answer:3

Step-by-step explanation:

5x3=15

15+4=19

help!! due tommorrow

Answers

Answer:

a and d

Step-by-step explanation:

these simplify to .77 for A and .81 for B

Write an expression that is equivalent to -3(2x+5)-3x+6

Answers

Answer:

-9x - 9

Step-by-step explanation:

Combine like terms.

-3 • 2x= -6x. -3 • 5= -15

-6x - 15 - 3x+ 6

-9x - 9

-9x - 9 is the answer

: If 10 less than 5 times a number is two more than 3 times the number, then the number is

Answers

Answer:

x = 1

Step-by-step explanation:

If 10 less than 5 times a number is two more than 3 times the number, then the number is

10 - 5x = 2 + 3x

10 - 2 - 5x - 3x = 0

8 - 8x = 0

x = 1

---------------

check

10 - 5 * 1 = 2 + 3 * 1

5 = 5

the answer is good

Ben worked 5 hours at x dollars per hour. Julie worked 8 hours
and earned twice as much as Ben per hour. Phil worked 10
hours and earned 4 dollars an hour less than Julie. Choose the
expression that is correctly simplified and best represents
their total wages.
A. 31x - 4
B. 31x – 40
C. 41x - 10
D. 41x -40

Answers

Answer: D

Explanation:

Ben : 5 • x = 5x
Julie: 8 • 2x = 16x
Phil: 10 • (2x - 4) = 20x - 40

Add them all together:

5x + 16x + 20x - 40
= 41x - 40

Can someone please guide me step by step to sum the answer of the equation 5x(6)-10 ?

Answers

Answer:

30x-10

Step by Step Work:

5x(6)-10

Because 5 x 6= 30, it becomes

30x-10

Since 30x and 10 have different terms, you can not simplify any further.

So you get your answer, which is 30x-10.

Answer

30x-10

Step by Step Work:

5x(6)-10

Because 5 x 6= 30, it becomes

30x-10

Since 30x and 10 have different terms, you can not simplify any further.

So you get your answer, which is 30x-10.

helpp :(
Habib rides his bike to school. This describes his trip:

A. Rides toward school
B. Stops to wait for a friend
C. Rides the rest of the way to school

Drag one segment to each box to show the shape of the graph of Habib's distance from home for each interval of time.

Answers

The only pattern that would make sense is A- option 3 (/), B- option 1 (-), C- option 3 again (/). Hope this helps!

Answer:

see

Step-by-step explanation:

How do I solve this please look for the x and then the y

Answers

Answer:

x + y = 75

Step-by-step explanation:

2x - 5 and 75 are adjacent angles on a straight line and sum to 180° , that is

2x - 5 + 75 = 180

2x + 70 = 180 ( subtract 70 from both sides )

2x = 110 ( divide both sides by 2 )

x = 55

Then

2x - 5 = 2(55) - 5 = 110 - 5 = 105

2x - 5 and 4y + 25 are vertically opposite angles and are congruent, so

4y + 25 = 105 ( subtract 25 from both sides )

4y = 80 ( divide both sides by 4 )

y = 20

Then x + y = 55 + 20 = 75

Someone please help this is soooooo hard

Answers

Step-by-step explanation:

1. 10x-7=5x+3; ⇒ 5x=10; ⇒ x=2. If x=2, then

2. QS=10*2-7=14;

3. SR=5*2+3=13;

4. m(∠PSR)=15*2+42=72°;

5. m(∠PSQ)=180-m∠(PSR)=180-72=108°.

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The Truth Table Represents Statement P,Q,R Which statement is true for rows A, C and E R—> (p^q) R—>(p v q) (q^r)—>p (q v r) —>p

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The Truth Table Represents Statement P,Q,R

Which statement is true for rows A, C and E

R—> (p^q)
R—>(p v q)
(q^r)—>p
(q v r) —>p