Which of the following is logically equivalent to~ (~p⇒q)?p ∧qp ∧~ q~p ∧q~ p ∧~q

Answers

Answer 1

p ∧qp ∧~ q~p ∧q~ p ∧~q  is logically equivalent to~ (~p⇒q) for the given question

If p → q

and q →r , then  you can use the law of transitivity to conclude

q→r.

That is a basic law of sillogisms.

An example will help you to understand the transivity law:

Make p, stand for 3 > 3/4, q stand for 3/4 > 15 / 20, the you can conclude that 3 > 15 / 20.

3 > 3/4

3 /4 > 15 / 20

Then, 3 > 15 /20.

This is, from the fact that you know that 3 is gretar than 3/4 and that 3/4 is greater than 15/20, you can conclude that 3 > 15 / 20. That is transitivity and is a law of logic, which you can use to get conclusions.

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Related Questions

Identify the function with a period of 4 and an amplitude of 2.

Answers

Answer:

it's only 2pi/B because the period of sin and cos is 2pi. If we were dealing with tan it'd be pi/B, since the period of tan is just pi.

This question is worth 15 points.
A bedding set that regularly sells for $86
is on sale with a 20% discount. How
much will the total sale be including a 5%
sales tax?

Answers

The total sale of the bedding set including 5% sale tax is $69.66

What is an equation?

An equation is an expression that shows the relationship between two or more variables and numbers.

Discount = 20% of 86 = 0.2 * 86 = 17.2

Selling price of bed = 5% of 17.2 = 0.05 * 17.2 = 0.86

Total sale = 86 - 17.2 + 0.86 = 69.66

The total sale of the bedding set including 5% sale tax is $69.66

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Rationalize the denominator:

GRADE 9


CBSE

Answers

Answer:

1. a)

[tex] \begin{gathered} \frac{2}{ \sqrt{3} - 1 } = \frac{2}{ \sqrt{3} - 1} \times \ \frac{ \sqrt{3} + 1}{ \sqrt{3} + 1 } \\ = \frac{2 \sqrt{3} + 2 } {( \sqrt{3} ) {}^{2} - 1 {}^{2} } = \frac{2 \sqrt{} 3}{3 - 1} = \frac{2 \sqrt{3} }{2} \\ = \sqrt{3} \end{gathered}[/tex]

[tex]\\[/tex]

b)

[tex]\begin{gathered} = > \: \: \frac{7}{ \sqrt{12} - \sqrt{5} } \\ \\ = > \: \: \frac{7}{ \sqrt{12} - \sqrt{5} } \times \frac{ \sqrt{12} + \sqrt{5} }{ \sqrt{12} + \sqrt{5} } \\ \\ = > \: \: \frac{7( \sqrt{12} + \sqrt{5} ) }{ {( \sqrt{12}) }^{2} - {( \sqrt{5}) }^{2} } \\ \\ = > \: \: \frac{7( \sqrt{12} + \sqrt{5}) }{12 - 5} \\ \\ => \: \: \frac{ \cancel{7}( \sqrt{12} + \sqrt{5} ) }{ \cancel{7}} \\ \\ => \: \: \sqrt{12} + \sqrt{5} \end{gathered}[/tex]

1-:

[tex] \displaystyle \frac{2}{ \sqrt{3} - 1 } [/tex]

[tex] \displaystyle = \frac{2}{( \sqrt{3} - 1)( \sqrt{3} + 1 } \\ [/tex]

[tex] \displaystyle2 \frac{ \sqrt{3} + 1 }{ \sqrt{3 {}^{2} - 1 {}^{2} } } [/tex]

by( a-b×a+b=a²b²)

[tex] \displaystyle2 \frac{ \sqrt{3} + 1}{3 - 1} [/tex]

[tex] \displaystyle \: \sqrt{3} + 1[/tex]

[tex] \displaystyle2 - ) \frac{7}{ \sqrt{12} - \sqrt{5} } [/tex]

[tex] \displaystyle\frac{ \sqrt{12} \sqrt{5} }{ \sqrt{12 {}^{2} } \times \sqrt{5 {}^{2} } } [/tex]

[tex] \displaystyle7\frac{ \sqrt{12} + \sqrt{5} }{7} = \sqrt{12} + \sqrt{5} [/tex]

[tex] \displaystyle3) = \frac{8 + 3 \sqrt{5} }{64 - 45} \\ = \frac{8 - 3 \sqrt{5} }{19} [/tex]

The frequency table shows a set of data collected by a doctor for adult patients who were diagnosed with a strain of influenza.

A 2-column table with 4 rows. The first column is labeled age range with entries 25 to 29, 30 to 34, 35 to 39, 40 to 45. The second column is labeled number of sick patients with entries 3, 6, 5, 4.
Which dot plot could represent the same data as the frequency table?

Answers

The dot plot that could represent the same data as the frequency table is  the second plot. This is further explained below.

What is dot plot?

Generally, Data points are represented as dots on a graph with an x- and y-axis in a dot plot sometimes referred to as a strip plot or dot chart, which is a straightforward kind of data visualization.

The frequency table displays the number of ill patients in each age group. The first two plots are incorrect because the sum of the dots connecting the numbers 24, 25, 26, 27, 28, and 29 in the first two plots is 3, but not in the other two plots.

In conclusion, there are only 4 ill individuals when the dots from the 30-34 age range on the first plot are added together. There are a total of 6 cases in that age group on the second graph. As a result, the second dot plot is the one that matches the frequency table.

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Answer:

id b on edge

Out of a sample 650 high school students, 321 take the bus to school every day. construct a 99% confidence interval for the population mean of high school students that take the bus to school every day.
a.ci=(43.23%,51.18%)
b.ci=(44.34%, 54.43%)
c.ci=(45.54%, 53.23%)
d.ci=(46.16%,52.16%)

Answers

A 99% confidence interval for the population mean of high school students that take the bus to school every day is b) ci=(44.34%, 54.43%)

We need to find the 99% confidence interval for the population mean of high school students that take the bus to school everyday

A confidence interval is a range of estimates for an unknown parameter. The confidence interval is calculated at the specified confidence level; the most common is the 95% confidence level, but sometimes other levels are used, such as 90% or 99%.

The confidence interval of proportions is given by:

π ± z √(π (1-π) /n)

π is the sample proportion.

z is the critical value.

n is the sample size.

For 99% confidence interval the value of z is 2.58

π = 321/650

The confidence interval is given by

=321/650 ± 2.58 √( (321/650) × [ 1 - (321/650) ] ÷ 650)

= (0.493846 ± 0.050594)

=(0.4434 , 0.5443)

=(44.34 % , 54.43 %)

Hence a 99% confidence interval for the population mean of high school students that take the bus to school every day is ci=(44.34%, 54.43%)

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The nth term of a sequence is 2n2² - 4n+4 Work out the 8th term of the sequence. 8th term= Submit Answer Skip for Now​

Answers

The nth term of a sequence exists 2n2² - 4n+4 is 36.

What is PEMDAS' order of operations?

The order of operations exists as a rule that describes the right sequence of measures for estimating a math expression. We can recognize the order utilizing PEMDAS: Parentheses, Exponents, Multiplication, and Division (from left to right), Addition, and Subtraction (from left to right).

[tex]$2*8*2^{2} - 4*8+4[/tex]

Follow the PEMDAS order of operations

Calculating the exponents, we get 2² = 4

[tex]= 2*8*4 - 4*8+4[/tex]

= 64-32 +4

= 36

Therefore, the nth term of a sequence that exists 2n2² - 4n+4 is 36.

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If a client is exercising for 150 minutes per week (30 minutes, 5 days per week), then a 10% increase in volume would result in how many minutes total per week

Answers

It takes 165 minutes per week if 10% increase in volume for an exercising client.

How much is the 10% increase in the volume?

A client is exercising for 150 minutes per week. I.e., 30 minutes, 5 days per week.

So, 10% increase results,

30 minutes × 10% = 3

So, the increased minutes per day = 30 + 3 = 33 minutes/day.

How many minutes total per week results if a 10% increase in the volume?

After the 10% increase, the minutes per day = 33 minutes

Since 5 days a week, he does exercise, the total minutes per week

= 33 × 5 = 165 minutes.

So, a 10% increase in volume would result in 165 minutes total per week.

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a colony of bacteria grows by 5% every hour. how long does it take for the colony to double in size

Answers

Answer:

20 hrs

Step-by-step explanation:

growth per hour=5%

no of hrs to double=100/5=20

(it may be wrong)<3

David has kept track of his family’s grocery bills for the past 10 weeks, as shown in the table.

Week 1 2 3 4 5 6 7 8 9 10
Bill ($) 92 106 129 115 100 84 110 156 98 87

Would you choose to use a histogram, a circle graph, or a line graph to display the data? Explain your choice. Then make a display.

Answers

The data should be displayed using a line graph, as shown in the attached figure.

Definition of a Line Graph

In a line graph, also known as a line plot or a line chart, each data point is connected by its own line. A line graph displays numerical values across a chosen time span.

Why is a line graph the best choice in this situation?

A line graph would be the best option for showing the data for David's family's grocery spending over the previous 10 weeks because it would show us the trend in the data. This graph tells us of how we can recognize instances where there were significant expenses by analyzing the trend from the line graph.

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Define the domain and range of each function. GRAPH IS BELOW :)

Domain:
Range:

FIRST PERSON TO ANSWER GETS BRAINLIEST OR 5 STARS!

Answers

Answer:

Domain: ( Positive infinity, Negative Infinity)

Range: (-3, Positive Infinity )

Step-by-step explanation:

The science teacher has to write report cards for all her students. It takes 1/8 of an hour to complete one report card. How many report cards can the teacher complete in 14 hours?

Answers

Answer:

112

Step-by-step explanation:

If she takes 1/8 of an hour to complete one then she can finish 8 in 1 hour.

8 x 14 = 112

In gym class, the students are going to design and build obstacles for an upcoming field day. Before they can start building, each student has to submit a two-dimensional scale drawing of the obstacle they want to build. Barbara's drawing of her obstacle is shown below.




Note: Figure not drawn to scale.


In Barbara's drawing, the obstacle has a total area of______ square feet.

This obstacle will have a width of 4 feet. The volume of the obstacle is____cubic feet.

Answers

The obstacle has a total area of 69 square feet and a volume of 276 cubic feet.

The total area of the obstacle

To determine the total area, we calculate and add up the area of each shape.

The shapes in the figure are:

Triangle: Base = 1, Height = 6Triangle: Base = 5, Height = 8Square: Length = 2Rectangle: Length = 7; Width = 6

Using the area formula of each shape, the total area is:

Total = 0.5 * 1 * 6 + 0.5 * 5 * 8 + 2 * 2 + 7 * 6

Evaluate

Total = 69

Hence, the obstacle has a total area of 69 square feet.

The volume of the obstacle

This is calculated as:

Volume = Base area * Height

The height is 4.

So, we have:

Volume = 69 * 4

Evaluate

Volume = 276

Hence, the obstacle has a volume of 276 cubic feet.

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write each as the sum of two terms in the form t_n,r. t_5,3 , t_11,2 , t_15,13

Answers

The sum of two terms are:

t₅, ₃ = 8t₁₁, ₂ = 13 t₁₅,₁₃ = 28.

What is the sum about?

The sum of two numbers is one that tells you to find the sum of two or more numbers, and as such, you have to add the numbers altogether.

t₅, ₃ =  5 + 3

= 8

t₁₁, ₂ = 11 + 2

= 13

t₁₅,₁₃ =  15 + 13

= 28.

Hence the correct sum of two terms are:

t₅, ₃ = 8t₁₁, ₂ = 13 t₁₅,₁₃ = 28.

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3. Which of the following is equivalent to (10a³b³) (5a³b²)?​

Answers

Answer:

50a^6b^5

Step-by-step explanation:

I don't see answer choices, but this is the simplified version. To do this, multiply 10*5, a^3 * a^3 (which adds the exponents), and then b^3*b^2.

Ammonia (NH3) can be made using the reversible reaction shown. Which change would keep this reaction from shifting to form more of the produce Decreasing the pressure in the reaction ? 3H2 + N2 ⇄ 2NH3 + energy A. Decreasing the pressure in the reaction vessel

Answers

Decreasing the pressure in the reaction vessel will keep this reaction from shifting to form more of the produce(ammonia).

What is Pressure?

This is defined as the force per unit area of a body and the S. I unit is in Pascal.

Ammonia production involves reaction between hydrogen and nitrogen gas in which pressure has an effect on the reaction rate unlike in solids and liquids. An increase in pressure will result in more products being formed and vice versa.

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The radius of a circle is 58 centimeters. enter the circumference of the circle

Answers

Answer:

C = 364.24

Step-by-step explanation:

Comment

The circumference and the radius are related to one another. The constant relating them is pi which is a fixed number of 3.14 The formula for the circumference is C = 2*pi * r

Givens

pi = 3.14

r = 58 cm

Circumference = ?

Formula

C = 2*pi * r

C = 2 * 3.14 * 58

C = 364.24

Create a factorable polynomial with a GCF of 5z. Rewrite that polynomial in two other
equivalent forms. Explain how each form was created. (10 points)

Answers

The polynomial is P(z) = 5z * (z - 1) and the equivalent forms are P(z) = 5z^2 - 5z and P(z) = -5z + 5z^2

How to create the polynomial?

The GCF is given as:

GCF = 5z

This means that the polynomial can be represented as:

P(z) = GCF * Another factor

We can make use of the following function

P(z) = 5z * (z - 1)

Expand

P(z) = 5z^2 - 5z

Rewrite as:

P(z) = -5z + 5z^2

Hence, the polynomial is P(z) = 5z * (z - 1) and the equivalent forms are P(z) = 5z^2 - 5z and P(z) = -5z + 5z^2

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At the trial of a contract dispute, the plaintiff has offered to testify to what she heard the defendant say in a private conversation between the two of them, which the plaintiff secretly recorded on an audiotape that she did not offer in evidence. Is the plaintiff's testimony admissible

Answers

The plaintiff's testimony is admissible because plaintiff as personal knowledge of the statement of a party-opponent.

How to illustrate the information?

The recording is coincidental with firsthand knowledge. The person could testify based upon firsthand knowledge and could also lay the foundation under Article 9 to authenticate the tape.

In this case, the tape is not required as a matter of the original writing rule, giving the proponent options to offer testimony from memory, and/or the opportunity to corroborate the in-court testimony by a demonstrative exhibit

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First consider the system of equations y = -1/2 x + 1 and y = x - 5. Then consider the system of inequalities y > -1/2x+1 and y < x-5. When comparing the number of solutions in each of these systems, which statement is true?
Both systems have an infinite number of solutions.
The system of equations has more solutions.
The system of inequalities has more solutions.
Both systems have only one solution.​

Answers

we conclude that the system of inequalities has more solutions than the system of equations.

What can we conclude about the two given systems?

We have the system of equations:

y = (-1/2)*x + 1

y = x - 5

And the system of inequalities:

y > (-1/2)*x + 1

y < x - 5

First, if you look at the first system you can see that we have two non-parallel lines, so that system has only one solution.

Now let's look at the system of inequalities, we can get solutions like:

x = 10

y = 1

1 > (-1/2)*10 + 1 = -4

1 < 10 - 5 = 5

So both inequalities are true, which means that the point (10, 1) is a solution.

And also is the point (11, 1), and (12, 1), and infinite other points.

Then we conclude that the system of inequalities has more solutions than the system of equations.

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In the Michigan lottery game, LOTTO 47, the state selects six balls randomly out of 47 numbered balls. The player selects six different numbers out of the first 47 positive integers. Prizes are given for matching all six numbers in any order (the jackpot) and matching five numbers ($2500). A ticket costs $1.00 and this dollar is not returned to the player. Find the probabilities of matching

Answers

The probability of matching six numbers is [tex]\frac{1}{47C_{6}}[/tex].

How to find the probability of matching six numbers?

To find the probability, we have to divide the favorable events by the total number of events.

The total number of events is given by:

[tex]47C_{6}[/tex]

We use combinations since the order doesn't matter.

The total number of favorable events is given by:

[tex]6C_{6}[/tex]

The probability is given by:

[tex]\frac{\text{Favorable events}}{\text{Total events}}=\frac{6C_{6}}{47C_{6}} \\= \frac{1}{47C_{6}}[/tex]

We have found the probability of matching all six balls to be [tex]\frac{1}{47C_{6}}[/tex].

Therefore, we have found that the probability of matching six numbers is [tex]\frac{1}{47C_{6}}[/tex].

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Disclaimer: The question was incomplete, the complete question is attached below.

Question: In the Michigan lottery game, LOTTO 47, the state selects six balls randomly out of 47 numbered balls. The player selects six different numbers out of the first 47 positive integers. Prizes are given for matching all six numbers in any order (the jackpot) and matching five numbers ($2500). A ticket costs $1.00 and this dollar is not returned to the player. Find the probability of matching six numbers.

State if the three side lengths 3 mi, 12 mi, 13 mi?

Answers

Since the sum of any two sides is greater than the third, hence the three sides for the sides of a triangle

What is a triangle?

A triangle is a 2-D shape with 3sides and angles. According to the question, we are to determine whether the given measures form sides of a triangle.

For the following measure to form the sides of a triangle, the sum of any two sides must be equal to the third as shown:

3 + 12  = 15 > 13

3 + 13 = 16 > 12

13 + 12 = 25 > 3

Since the sum of any two sides is greater than the third, hence the three sides for the sides of a triangle

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2^4n × 2^ 2n = 512
What is the value of n.

Answers

Step-by-step explanation:

[tex] {2}^{4n} \times {2}^{2n} = 512[/tex]

[tex] {2}^{4n} \times {2}^{2n} = {2}^{9} [/tex]

[tex] {2}^{4n + 2n} = {2}^{9} [/tex]

[tex]6n = 9[/tex]

[tex]n = \frac{3}{2} [/tex]

n would equal to 3/2

Find the equation of the line that passes through (-1,2) and is perpendicular to y =2x+1 . Leave your answer in the form y = m x + c

Answers

Find the slope from the perpendicular line, and then insert the given point into the equation to find c, steps in picture:

Find a linear inequality with the following solution set. Each grid line represents one unit.

Give your answer in "standard form" ax+by+c>0 or ax+by+c\geq0 where a, b, and c are integers with no common factor greater than 1.)

Answers

The linear inequality in standard form is: x + y < -2 or x + y + 2 < 0

How to Write a Linear Inequality?

To determine what sign to use, follow these rules:

Use "<" or ">" when the boundary line is dotted or dashed.Use "<" or "≤" when the shaded area is under the boundary line (dotted or dashed).Use "≤" or "≥" when the boundary line is not  dotted or dashed.Use ">" or "≥" when the shaded area is above the boundary line (dotted or dashed).

The graph given has the following features:

It has a boundary line that is dotted/dashed.It has a shaded area that is under the boundary line.Thus, the inequality sign we would use is, "<".

Find the slope:

Slope (m)= rise/run = -(2 units) / (2 units).

Slope (m) = -1.

The y-intercept (b) = -2.

Substitute m = -1 and b = -2 into y < mx + b:

y < (-1)x + (-2)

y < -x - 2

Rewrite

x + y < -2

x + y + 2 < 0

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Fair coin say you flip a coin 10 times. It comes up tails 8 times and heads twice. Is this a fair coin?

Answers

Yes this is a fair coin because it could have landed on either sides 8\10+6

Find the distance between the points C(−6, 5) and D(−3, 1).

Answers

Answer:

5 units

Step-by-step explanation:

Given the following question:

To find the answer to this question we will use the formula to calculate distance.

(6, 5) = (x1, y1)
(-3, 1) = (x2, y2)

[tex]d=\sqrt{(x1-x2)^2+(y1-y2)^2}[/tex]
[tex]d=\sqrt{(-6-(-3))^2+(5-1)^2}[/tex]
[tex]-6+3=-3[/tex]
[tex]5-1=4[/tex]
[tex]d=\sqrt{(-3^2+4^2)}[/tex]
[tex]-3^2=-3\times-3=9[/tex]
[tex]4^4=4\times4=16[/tex]
[tex]d=\sqrt{9+16}[/tex]
[tex]9+16=25[/tex]
[tex]\sqrt{25}[/tex]
[tex]\sqrt{25} =5\times5=25[/tex]
[tex]=5[/tex]

Which means the distance between the two points is "5 units."

Hope this helps.

A box contains colored jelly beans. There are 14 red, 6 yellow, and x blue jelly beans in the bag. If the probability of drawing a yellow jelly beans is 1/4, what is the value of x?

Answers

Answer:

4

Step-by-step explanation:

If the probability of drawing a yellow jelly beans is 1/4, the box is has 1/4 yellow jellybeans.

1/4b=6

b=24

14+6+x=24

20+x=24

x=4

Answer:

36 blue jelly beans

Step-by-step explanation:

We can find the total number of jelly beans by adding all red, yellow, and blue jelly beans together.

14+6+x

This simplifies to 20+x

For probability, it is (the number of things you want)/(the total number of things there are).

If the probably of drawing a yellow jelly bean is 1/4, we can set up this equation:

[tex]\frac{14}{20+x}=\frac{1}{4}[/tex]

We can cross multiply:

[tex]20+x=14(4)\\x+20+56\\x=36[/tex]

There are 36 blue jelly beans.

The shallowest section of an underground tunnel is -50 feet. The deepest section of the tunnel is -135 feet. How many feet below the shallowest section is the deepest section?
A. -95 feet
B. -185 feet
C. 85 feet
D. 195 feet

Answers

Answer:

c

Step-by-step explanation:

1) eliminate the negative answers since we need the amount of feet below a section and a negative number below a section doesn't make sense in this context and would result in a distance higher than the shallowest section.

Just find the absolute value or the difference between 135 and 50 resulting in 85

Which of the following systems of equations has the solution (1, 6)?

y = –5x – 1
y = –x + 7

y = 5x + 1
y = x – 7

y = 5x + 1
y = –x – 7

y = 5x + 1
y = –x + 7

Answers

Answer:

Step-by-step explanation:

hello :

the system is : y = 5x + 1

                        y = –x + 7

put : x=1  you have y = 6

Arrange the tiles on both boards to find the value of x.
Board sum: 3x + (-5) = 1
What x value solves the equation?
3x - 5 = 1
X =

Answers

Answer:

3x-5=1

3x=5+1

3x=6

x=6/3

x=2

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