Sử dụng phép tính mệnh đề (các luật logic) để chứng minh các biểu thức sau là hằng
đúng:
[p -> (q ∨ r)] ->[(p -> q) ∨ (p ->r)]

Answers

Answer 1

Answer: “P hay Q” là một mệnh đề được

Step-by-step explanation: Các quy tắc tương đương logic: ... Chứng minh biểu thức mệnh đề (¬((r ∨ q) ∧ q) ∨. ¬p)∧ ((¬p


Related Questions

URGENT, WILL GIVE BRAINLIEST!!
In △ABC, A=27∘, a=27 and c=24. Which of these statements best describes angle C?


C must be acute.
C must be obtuse.
C can be either acute or obtuse.
△ABC cannot be constructed.

Answers

Answer:

C must be acute, and ABC cannot be constructed

Step-by-step explanation:

24 degrees is under 90 degrees making angle c an acute angle.

ABC cannot be contructed because a triangle makes up of 180 degrees, and ABC does not make up 180 degrees.

Have a great day friend! :D

Answer:

C must be acute.

Step-by-step explanation:

The smaller the length of the side, the smaller is the angle opposite it, so C must be < 27.

An Olympic-size swimming pool is 50 meters long. How many yards long is
the pool, to the nearest tenth of a yard?

Answers

Answer:

10.9

Step-by-step explanation:

Answer:

54.7 yards

Step-by-step explanation:

1 meter = 1.094 yards

50 meters = 54.7 yards

pls help with khan academy

Answers

Answer:

c

Step-by-step explanation:

because the rest are just way off

Answer:

The answer is C, bro

Step-by-step explanation:

hope this helped.

The number 1000 has been rounded to the nearest 100. Find its lower and upper bounds.

Answers

Answer


950  ≤ 1000  < 1050

Explanation

Mark Brainliest please

The lower bound is 950 and the upper bound is 1050 when the number 1000 has been rounded to the nearest 100.

What are the lower and upper bound?

The lower bound is the smallest value that would round up to the estimated value.

The upper bound is the smallest value that would round up to the next estimated value.

Here the number 1000 is rounded to the nearest 100 will be:

The Lower bound will be 950.

The Upper bound will be 1050

Hence the lower bound is 950 and the upper bound is 1050 when the number 1000 has been rounded to the nearest 100.

To know more about Lower and upper bound follow

https://brainly.com/question/15308347

Alexander Litvinenko was poisoned with 10 micrograms of the radioactive substance Polonium-210. Since radioactive decay follows a compounded continuously model, we can determine the amount of substance left in Alexander Litvinenko's body at any given time. If Polonium-210 has a decay rate of .502%, then determine the amount of Polonium-210 left in his body after 40 days. Provide 3 decimal places and units in your answer.

Answers

Compounded continuously model are evaluated using exponential functions

There are 8.177 bacteria left after 40 days

The given parameters are:

[tex]\mathbf{a = 10}[/tex] --- the initial number of bacteria

[tex]\mathbf{r = 0.502\%}[/tex] --- the decay rate

[tex]\mathbf{n = 40}[/tex] --- the number of days

The amount of bacteria left each day is calculated using:

[tex]\mathbf{T_n = a \times (1 - r)^n}[/tex]

So, we have:

[tex]\mathbf{T_{40} = 10 \times (1 - 0.502\%)^{40}}[/tex]

Express percentage as decimal

[tex]\mathbf{T_{40} = 10 \times (1 - 0.00502)^{40}}[/tex]

Simplify the expression in bracket

[tex]\mathbf{T_{40} = 10 \times 0.99498^{40}}[/tex]

Evaluate

[tex]\mathbf{T_{40} = 8.1766}[/tex]

Approximate

[tex]\mathbf{T_{40} = 8.177}[/tex]

Hence, there are 8.177 bacteria left after 40 days

Read more about compounded continuously model at:

https://brainly.com/question/73731

Help??? Lma.o sorry I need the answer asap

Answers

Answer:

f(5)=38

Step-by-step explanation:

f(5) means x=5, or in this case, a=5. We plug in 5 as A. f(5)=7(5+1)-4. f(5)=7(6)-4.

f(5)=42-4

f(5)=38

Flying against the wind, a jet travels 3780 miles in 6 hours. Flying with the wind, the same jet travels 5950miles in 7 hours. What is the rate of the jet in still air and what is the rate of the wind? 1111 Rate of the jet in still air: ​

Answers

The rate of the jet in still air is 740 mph and the rate of the wind is 110 mph.

The given parameters;

distance traveled against the wind, d₁ = 3780 milestime of motion, t₁ = 6 hoursdistance traveled with wind, d₂ = 5950 milestime of motion, t₂ = 7 hours

Let the rate of the jet in still air = R₁

Let the rate of the wind = R₂

The rate of the jet against the wind:

[tex]R_1 - R_2 = \frac{3780}{6} \\\\R_1 - R_2 = 630[/tex]

The rate of the jet with the wind:

[tex]R_1 + R_2 = \frac{5950}{7} \\\\R_1 + R_2 = 850\\\\[/tex]

The rate of the jet in still air is calculated as follows;

[tex]R_1 = \frac{630 + 850}{2} \\\\R_1 = 740 \ mph[/tex]

The rate of the wind is calculated as follows;

[tex]R_1 - R_2 = 630\\\\R_2 = R_1 - 630\\\\R_2 = 740 - 630 \\\\R_2 = 110 \ mph[/tex]

Thus, the rate of the jet in still air is 740 mph and the rate of the wind is 110 mph.

Learn more about rate here:https://brainly.com/question/11664428

5.
Identify the axis of symmetry of the parabola.



A. y = −1

B. x = −1

C. x = 1

D. y = 1

Answers

Answer is C x=1 because that’s the middle of it.

Answer:

B. x = −1

Step-by-step explanation:

In the graph, the vertex of the parabola hits point (-1,-2). Therefore, the axis of symmetry is x = -1. It is not y = -2, since the parabola opens vertically, not horizontally.

BEST ANSWER GETS BRAINLIEST!!!!!!!

ruben the trainer has two solo workout plans that he offers his clients: Plan A and Plan B. Each client does either one or the other (not both). On Monday there were 9 clients who did Plan A and 7 who did Plan B. On Tuesday there were 3 clients who did Plan A and 5 who did Plan B. Reuben trained his Monday clients for a total of 12 hours and his Tuesday clients for a total of 6 hours. How long does each of the workout plans last?

Answers

Let plan A be x

Plan B be y

Equations are

[tex]\\ \sf\longmapsto 9x+7y=12--(1)[/tex]

[tex]\\ \sf\longmapsto 3x+5y=6--(2)[/tex]

Multiplying (1) by 1 and (2) by 3

9x+7y=129x+15y=18

Subtracting

[tex]\\ \sf\longmapsto -8y=-6[/tex]

[tex]\\ \sf\longmapsto y=3/4[/tex]

Putting in eq(2)

[tex]\\ \sf\longmapsto 3x+5(3/4)=5[/tex]

[tex]\\ \sf\longmapsto 3x+15/4=5[/tex]

[tex]\\ \sf\longmapsto 3x=5-4/15[/tex]

[tex]\\ \sf\longmapsto 3x=71/15[/tex]

[tex]\\ \sf\longmapsto x=71/45[/tex]

George eat 3/8 a pizza and 1/4 of pizza
What fraction of pizza has George eaten

Answers

Answer: 5/8

Step-by-step explanation:

Answer:

5/8

Step-by-step explanation:

1/4=2/8

2/8+3/8=5/8

I need help asap!!!!!!!!!!!!!!!!!!!!!!!

Answers

Answer:

1/2 yd 5/3 yds The first one

Step-by-step explanation:

The water level in a lake was monitored and was noted to have changed -2 1/3 inches in one year. The next year it was noted to have changed -1 5/6 inches. What was the total change in the water level over the two years?

Answers

Answer:

The total change in water level over the past 2 years is [tex]\displaystyle -4 \frac{1}{6}[/tex].

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to Right

Fractions

Proper and Improper

Numbers

Least Common Multiple (LCM)

Step-by-step explanation:

Step 1: Define

Identify

Year 1 water change:  [tex]\displaystyle -2 \frac{1}{3}[/tex]

Year 2 water change:  [tex]\displaystyle -1 \frac{5}{6}[/tex]

Step 2: Find Total Water Change

[Set up] Add yearly water changes:                                                                [tex]\displaystyle -2 \frac{1}{3} + -1 \frac{5}{6}[/tex][Fractions] Convert to improper:                                                                     [tex]\displaystyle \frac{-7}{3} - \frac{11}{6}[/tex][Fraction] Rewrite [LCM]:                                                                                  [tex]\displaystyle \frac{-14}{6} - \frac{11}{6}[/tex][Order of Operations] Subtract:                                                                       [tex]\displaystyle \frac{-25}{6}[/tex][Fraction] Convert to proper:                                                                           [tex]\displaystyle -4 \frac{1}{6}[/tex]

14 blue cars out of 70 cars​

Answers

Answer:

66 cars

Step-by-step explanation:

If you like my answer than please mark me brainliest thanks

Answer:

14-70=56

Step-by-step explanation:

its subtraction so you just need 70 and take away 14.

reasoning being that theyre all still cars no matter the color and you just need to take away 14 from 70, leaving you with 56.

What is the answer to this problem?

Answers

Answer:

infinitely many solutions

Step-by-step explanation:

math for college readiness question. please help ​

Answers

Answer: 3

Step-by-step explanation:

[tex](f \circ f)(2) = f(f(2)) = f(3) = \boxed 3[/tex]

what is the measure of angle x?

Answers

Answer:

180

Step-by-step explanation:

Find the value of X in triangles by subtracting known angle measurements from 180 degrees. Since the value of all angles within a triangle must equal 180 degrees, if you know at least two angles, you can subtract them from 180 to find the missing third angle.

using the rectangle below calculate the values of x and y

Answers

Answer:

x=4, y=9/7

Step-by-step explanation:

We will use the property that the opposite sides of a rectangle are equal

3(3y-1)=2(y+3)

9y-3=2y+6

7y=9

y=9/7

2x=4(x-2)

2x=4x-8

2x=8

x=4

Find all factors of 27.​

Answers

Answer:

all the factors of 27 is 1, 3 ,9,and 27

1 , 3 , 9 , 27 hope that helps you

Function or not functional? Pls help tyyy

Answers

Answer:

not functional, 0 over laps with T and X. so that should make it not functional (I think )

A line contains the points (1, 2) and (0,1). What is the equation of the line?

Answers

Answer:

y = x + 1

Step-by-step explanation:

Slope: (1-2)/(0-1) = -1/-1 = 1

y-intercept: 1 - (-2)(0) = 1

y = x + 1

Solve for k.
14k+3k–16k=5
k=

Answers

Answer:

5

Step-by-step explanation:

Solve for k.

14k+3k–16k=5

17k - 16k = 5

k = 5

14k + 3k - 16k = 5
=> 17k - 16k = 5
=> k = 5

Question 6 of 24
The function f(x) = x2 - 6x + 9 is shifted 5 units to the right to create g(x).
What is g(x)?
A. g(x) = (x - 5)2 - 6(x - 5) + 9
B. g(x) = (x + 5)2 - 6(x + 5) + 9
C. g(x) = (x2 - 6x + 9) + 5
D. g(x) = (x2 - 6x + 9) - 5
Micr
SUBMIT

Answers

Answer:

Step-by-step explanation: its b

The population of a city decreases by 1.1% per year. If this year's population is
79,000, what will next year's population be, to the nearest individual?

Answers

Answer:

Step-by-step explanation:

100% - 1.1% = 98.9% = 0.989

79000(0.989)¹ = 78,131

or

1.1% = 0.011

79000(0.011) = 869

79000 - 869 = 78,131

Can someone please help me figure out the answer to the question in the picture?

Answers

d=100:
g=12-1/25(100)
g=12-4
g=8, d=100

d=200:
g =12-1/25(200)
g=12-8
g=4, d=200

d=300:
g =12-1/25(300)
g=12- 12
g=0, d=300

**PLEASE HELP OMG**
The square below is dilated by a scale factor of 3/2. Find the perimeter of the dilated square.

Answers

Answer:

W4 is our new scaled side

Step-by-step explanation:

Look at scale factor like this and it helps everytime so if it doesn’t help you there different methods.

3/2 has a larger number as a numerator so that means that the shape being scaled will get larger and if the number is smaller than denominator then the scaled figure will get smaller :3

In our case it gets bigger

do 16 divided by 2 which gives us 8 then times that by 3 to get 24

now thats how I solved this problem but if that not how you did it then you can do it your way :3

HOOE THIS HEEELPPED :DDD

Intensive care units (ICUs) generally treat the sickest patients in a hospital. ICUs are often the most expensive department in a hospital because of the specialized equipment and extensive training required to be an ICU doctor or nurse. Therefore, it is important to use ICUs as efficiently as possible in a hospital. According to a 2017 large-scale study of elderly ICU patients, the average length of stay in the ICU is 3.4 days (Critical Care Medicine journal article). Assume that this length of stay in the ICU has an exponential distribution. Do not round intermediate calculations.

a. What is the probability that the length of stay in the ICU is one day or less (to 4 decimals)?

b. What is the probability that the length of stay in the ICU is between two and three days (to 4 decimals)?

c. What is the probability that the length of stay in the ICU is more than five days (to 4 decimals)?

Answers

Using the exponential distribution, it is found that there is a:

a) 0.2548 = 25.48% probability that the length of stay in the ICU is one day or less.

b) 0.1415 = 14.15% probability that the length of stay in the ICU is between two and three days.

c) 0.2298 = 22.98% probability that the length of stay in the ICU is more than five days.

Exponential distribution:

The exponential probability distribution, with mean m, is described by the following equation:  

[tex]f(x) = \mu e^{-\mu x}[/tex]

In which [tex]\mu = \frac{1}{m}[/tex] is the decay parameter.

The probability that x is lower or equal to a is given by:  

[tex]P(X \leq x) = 1 - e^{-\mu x}[/tex]

The probability of finding a value higher than x is:

[tex]P(X > x) = e^{-\mu x}[/tex]

In this problem, the mean is of 3.4 days, hence, the decay parameter is:

[tex]\mu = \frac{1}{3.4}[/tex]

Item a:

[tex]P(X \leq 1) = 1 - e^{-\frac{1}{3.4}} = 0.2548[/tex]

0.2548 = 25.48% probability that the length of stay in the ICU is one day or less.

Item b:

[tex]P(X \leq 2) = 1 - e^{-\frac{2}{3.4}} = 0.4447[/tex]

[tex]P(X \leq 3) = 1 - e^{-\frac{3}{3.4}} = 0.5862[/tex]

[tex]P(2 \leq X \leq 3) = 0.5862 - 0.4447 = 0.1415[/tex]

0.1415 = 14.15% probability that the length of stay in the ICU is between two and three days.

Item c:

[tex]P(X > 5) = e^{-\frac{5}{3.4}} = 0.2298[/tex]

0.2298 = 22.98% probability that the length of stay in the ICU is more than five days.

A similar problem is given at https://brainly.com/question/17039711

Translate to an equation and solve. Let x be the unknown number.
30% of 26 is what number?

Answers

Answer: x/30=26/100 would be the equation and then to get the answer you would cross multiply which would get you, x=7.8

Step-by-step explanation:

Which equation has the solution x = 3?


Select each correct answer.


2x + 4 = 10

9−3x=0

3x + 1 = 9

9x−1=4

x3+5=6

5x−7=1 giving 50 pointss so hurry

Answers

Answer:

A and B

Step-by-step explanation:

A: 2x3=6 6+4=10 so correct

B: 9-9=0 so correct

Answer:

2x+4=10

Step-by-step explanation:

2x=10-4=

2x=6

x=6÷2=

3

Pls,
Find the area of the
parallelogram below.
8 cm
12 cm

Answers

Answer: Area = 96 cm squared

Explanation;

base x height = area

Base = 12

Height = 8

12 x 8 = 96

How do you know when to rewrite square trinomials and difference of squares binomials as separate factors?

Answers

Answer:

A trinomial is an expression that has three terms.

Square trinomial

A square trinomial is simply a perfect square trinomial.

Difference of square binomials

This is easily identified because, the terms of the square binomials are perfect squares.

When cubes are added or subtracted, they can be expressed using the following

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