Click and drag the statements to show that p ㈠ q) and p "Q are logically equivalent. The proposition-cp艹q) is true when p and q have the same truth values (p and q are either true or false). Therefore these two expressions are true in exactly the same instances, and therefore are logically equivalent. The proposition-(p-q) is true when p and q do not have the same truth values (either p is true and q is false, or vice versa). These are exactly the cases in which p ← q is true.

Answers

Answer 1

p ㈠ q) and p "Q will also be true in these same cases, further showing their logical equivalence.

To show that p ㈠ q) and p "Q are logically equivalent, we can use the fact that the proposition cp艹q) is true when p and q have the same truth values. This means that when p and q are either both true or both false, cp艹q) is true. Therefore, p ㈠ q) and p "Q will also be true in these same instances, making them logically equivalent.

On the other hand, the proposition -(p-q) is true when p and q do not have the same truth values. This means that when either p is true and q is false, or vice versa, -(p-q) is true. These are also the same cases in which p ← q is true.

Therefore, p ㈠ q) and p "Q will also be true in these same cases, further showing their logical equivalence.

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Related Questions

Find the distance to the nearest hundredth between the points A (1,-4) and B (5,3)

Answers

Answer:

8.06

Step-by-step explanation:

find the slope by

\(d=\sqrt{(5-1)^{2} + (3 - (-4))^{2} } \\\\ d= \sqrt{65} \\d= 8.062258\)

For the figures that have rotational symmetry, list the angles of rotation less than 360 degrees. For figures without rotational symmetry, write “no rotational symmetry”.

Please show all work and not just answers.

For the figures that have rotational symmetry, list the angles of rotation less than 360 degrees. For

Answers

Answer:
This shape has no rotational symmetry.

Explanation:
Shapes with rotational symmetry have the property of looking the same even after being rotated a degree smaller than 360. For example, equilateral triangles have rotational symmetry.

However, just like the previous question, this shape may have a line of symmetry but it does not have rotational symmetry. It can’t look the exact same after being rotated.

I hope this helps!

what is the value of x?
A. 20
B. 24
C. 25
D. 30
E. 40​

what is the value of x?A. 20B. 24C. 25D. 30E. 40

Answers

Answer: B is the answer.

Step-by-step explanation: hope it helps, please brainliest

the probability of at least one head in two flips of a coin is

Answers

The probability of getting at least one head in two flips of a coin is 3/4 or 0.75, which means that there is a 75% chance of getting at least one head in two flips of a coin.

To find the probability of at least one head in two flips of a coin, we can use the complement rule. The complement of the event "at least one head" is "no heads."

The probability of getting no heads in two flips of a coin is (1/2) x (1/2) = 1/4.

Therefore, the probability of getting at least one head in two flips of a coin is:

1 - (probability of no heads) = 1 - 1/4 = 3/4

The probability of getting at least one head in two flips of a coin is 3/4 or 0.75, which means that there is a 75% chance of getting at least one head in two flips of a coin.

In other words, if you flip a coin twice, the probability of getting at least one head is relatively high, and you are more likely to get at least one head than to get no heads at all.

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Mary invests $2500 at a rate of 7 1/2% . What will her balance be at the end of three years?​

Answers

If she invests 2500 with an annual rate of 0.075 then the equation to use will be
FV = PV(1+I)^N
Where FV = future value
Pv = present value
I = interest rate
N = number of compounding periods
So fv = 2500(1+0.075)^3
Using online calc Fv= $3105.74

Given that a box has 3 blue marbles, 2 red marbles, and 4 yellow marbles, use the probability formulas to answer the following questions. Reduce all fractions. Use / as the fraction bar and do not use any spaces.

Given that a box has 3 blue marbles, 2 red marbles, and 4 yellow marbles, use the probability formulas

Answers

Answer:

Blue marble: 1/3

Step-by-step explanation:

There are 3 marbles as a of 9 total marbles. Divide 3 by 9 and the simplify 3/9 into 1/3 as both are divisible by

a car is driving at 10 m/s as it begins to merge onto a freeway. if it starts to accelerate at a constant rate of 5 m/s2, how long does it take the car to reach a speed of 55 m/s?

Answers

The car takes 9 seconds to reach a speed of 55 m/s while merging onto the freeway, given its initial speed of 10 m/s and constant acceleration of 5 m/s².

To calculate the time it takes for the car to reach a speed of 55 m/s, we can use the equation of motion: v = u + at. Here, v represents the final velocity, u is the initial velocity, a is the acceleration, and t denotes the time taken.

Initial velocity, u = 10 m/s

Acceleration, a = 5 m/s²

Final velocity, v = 55 m/s

We need to find the time, t. Rearranging the equation, we have:

v = u + at

Substituting the given values:

55 m/s = 10 m/s + 5 m/s² * t

Now, let's isolate the time, t:

55 m/s - 10 m/s = 5 m/s² * t

45 m/s = 5 m/s² * t

Dividing both sides by 5 m/s²:

t = 45 m/s / 5 m/s²

Simplifying:

t = 9 seconds

Therefore, it takes 9 seconds for the car to reach a speed of 55 m/s while merging onto the freeway.

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What is 115 lbs in kg?

Answers

Answer:

115 lbs = 52.16 kilograms

Step-by-step explanation:

115 pounds is a little over 52kg

Please answer correctly !!!! Will mark brainliest !!!!!!!!!

Please answer correctly !!!! Will mark brainliest !!!!!!!!!

Answers

Answer:

Area = l x w

Area = (x + 1)(x + 7)

Area = x² + 7x + x + 7

Area = x² + 8x + 7

Step-by-step explanation:

I need to know how to work out 5/6out of 360

Answers

The work of  5/6 more than 360 is equal to 660.

To calculate what 5/6 is out of 360, you can use the following steps:

Divide 360 by 6 (the denominator of the fraction) to determine the value of 1/6.

360 / 6 = 60 Multiply the value of 1/6 by the numerator (5) to find the value of 5/6.

60 * 5 = 300

Step 1: Calculate 5/6 of 360.

To find 5/6 of a number, you multiply that number by the fraction 5/6. In this case, we want to find 5/6 of 360. To do that, we multiply 360 by 5/6:

(5/6) * 360 = (5 * 360) / 6 = 1800 / 6 = 300

So, 5/6 of 360 is equal to 300.

Step 2: Add the result to 360.

To find 5/6 more than 360, we take the result from Step 1, which is 300, and add it to 360:

300 + 360 = 660

Therefore, 5/6 more than 360 is equal to 660.

In summary, by calculating 5/6 of 360, we found that it is 300. Adding 300 to 360 gives us the final result of 660, which represents 5/6 more than 360.

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the square root of 11001 in base 2​

Answers

Answer:

it is the answer check out.

Step-by-step explanation:

I hope it can help you

the square root of 11001 in base 2

1.Find the period of the following functions. a) f(t) = (7 cos t)² b) f(t) = cos (2φt²/m)

Answers

Period of the functions: The period of the function f(t) = (7 cos t)² is given by 2π/b where b is the period of cos t.The period of the function f(t) = cos (2φt²/m) is given by T = √(4πm/φ). The period of the function f(t) = (7 cos t)² is given by 2π/b where b is the period of cos t.

We know that cos (t) is periodic and has a period of 2π.∴ b = 2π∴ The period of the function f(t) =

(7 cos t)² = 2π/b = 2π/2π = 1.

The period of the function f(t) = cos (2φt²/m) is given by T = √(4πm/φ) Hence, the period of the function f(t) =

cos (2φt²/m) is √(4πm/φ).

The function f(t) = (7 cos t)² is a trigonometric function and it is periodic. The period of the function is given by 2π/b where b is the period of cos t. As cos (t) is periodic and has a period of 2π, the period of the function f(t) = (7 cos t)² is 2π/2π = 1. Hence, the period of the function f(t) = (7 cos t)² is 1.The function f(t) = cos (2φt²/m) is also a trigonometric function and is periodic. The period of this function is given by T = √(4πm/φ). Therefore, the period of the function f(t) = cos (2φt²/m) is √(4πm/φ).

The period of the function f(t) = (7 cos t)² is 1, and the period of the function f(t) = cos (2φt²/m) is √(4πm/φ).

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Sam made $147 for 7 hours of work at the same rate how much would he make for 9 hours of work

Answers

divide $147 by 7 you’ll get 21, so he’s making 21 dollars an hour, you’ll multiply 21 by 9 which you’ll get $189
so your answer will be $189 for 9 hours of work
hope this helps!

How many whole groups can you fit into 51?

Answers

Step-by-step explanation:

in one group 17members

in second group 17members

in third group 17members

Hope it helps ohh God! please make your question a little easier so the other person can understand what you mean to say/ask when we read.

The position of an open water swimmer is shown in the graph. The shortest route to the shoreline is one that is perpendicular to the shoreline Write an equation that represents this path


Please help!

The position of an open water swimmer is shown in the graph. The shortest route to the shoreline is one

Answers

Answer:

y = 1/2x + 4 1/2

Step-by-step explanation:

FIND AREA OF THIS FIGURE

FIND AREA OF THIS FIGURE

Answers

Answer:

196 units^2

Step-by-step explanation:

bottom area= 20× 6 = 120 units^2

top area=3×20=60 units^2

4 squares= 4 (number of squares) 2×2 (area) =16 units^2

PLEASE HELP!!!!
Rathna made a deposit into a savings account five years ago. She has not made any other deposits or withdrawals to that account. The money, m, in the account has increased by 6% since the account was opened. Which expression does NOT represent the current balance of Rathna’s savings account?


m(1+0.06)

1.06m

m+0.06m

1+0.06m

Answers

Answer:

(D) 1+0.06m

Step-by-step explanation:

Let's say that m=$120

(A)= $127.2

(B)= $127.2

(C)= $127.2

(D)= $8.2

As you can see after I substituted in 120 for (m) and solved, D is the only equation that did not represent her current balance.

I hope this helps!

Answer:

D

Step-by-step explanation:

edge

can the tangent constraint be applied between a line and an arc?

Answers

Yes, the tangent constraint can be applied between a line and an arc in many CAD (Computer-Aided Design) software programs.

In CAD, a tangent constraint is a geometric constraint that forces two entities (lines, arcs, circles, etc.) to share a common tangent at their point of contact. When you apply a tangent constraint between a line and an arc, the software will ensure that the line and the arc are always tangent to each other at their point of intersection.

This constraint is useful for designing mechanical components, such as gears or cams, where you need to ensure that the contact between two parts is smooth and continuous. It is also commonly used in architecture, where a building's curved surfaces may need to be tangent to adjacent straight lines or walls.

In short, the tangent constraint can be applied between a line and an arc, and it is a useful tool in many different fields of design.

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Can you break another clock into a different number of pieces so that the sums are consecutive numbers? Assume that each piece has at least two numbers and that no number is damaged (e.g. 12 isn't split into two digits 1 and 2 ).

Answers

It is possible to break a clock into 7 pieces so that the sums of the numbers in each piece are consecutive numbers.

To achieve a set of consecutive sums, we can divide the clock numbers into different groups. Here's one possible arrangement:

1. Group the numbers into three pieces: {12, 1, 11, 2}, {10, 3, 9}, and {4, 8, 5, 7, 6}.

2. Calculate the sums of each group: 12+1+11+2=26, 10+3+9=22, and 4+8+5+7+6=30.

3. Verify that the sums are consecutive: 22, 26, 30.

By splitting the clock into these particular groupings, we obtain consecutive sums for each group.

This arrangement meets the given conditions, where each piece has at least two numbers, and no number is damaged or split into separate digits.

Therefore, it is possible to break a clock into 7 pieces so that the sums of the numbers in each piece form a sequence of consecutive numbers.

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Write one measurement that is between (3)/(16) inch and (7)/(8) inch on a ruler.

Answers

One measurement that is between (3/16) inch and (7/8) inch on a ruler is (1/2) inch.

On a ruler, the space between each inch is typically divided into smaller units, such as halves, quarters, eighths, or sixteenths. In this case, (3/16) inch is closer to (1/4) inch, and (7/8) inch is closer to (1) inch.

Since we want a measurement between these two values, we can choose (1/2) inch, which is exactly in the middle. It falls between (3/16) inch and (7/8) inch on the ruler.

what is quarters?

In mathematics, "quarters" can refer to two different concepts:

1. Fraction: In the context of fractions, a "quarter" represents one-fourth or 1/4. It is equal to dividing something into four equal parts and taking one of those parts. For example, if you have a pie divided into four equal slices, each slice represents a quarter of the whole pie.

2. Coins: In the context of money, a "quarter" is a coin commonly used in the United States and some other countries. It has a value of 25 cents or 1/4 of a dollar. The term "quarter" refers to its relation to the dollar, with four quarters making up one whole dollar.

It's important to note the distinction between these two concepts. In the context of fractions, a quarter represents one-fourth or 1/4, whereas in the context of money, a quarter represents a specific coin denomination of 25 cents or 1/4 of a dollar.

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what are the statements and reasons?

what are the statements and reasons?

Answers

Answer:

A statement is an equation or expression describing the geometrical shape. The reason is the reason for that statement, like "Definition of a straight angle."

Step-by-step explanation:

When x = 2, what is the value of the expression 5x^2 - 4?

Answers

Given~

\( \sf \: x = 2\)Let's Solve~

\( \: \sf \: 5 {x}^{2} - 4\)

\( \: \: \)

\( \sf \: 5(2)^{2} - 4\)

\( \: \: \: \)

\( \sf \: 5(4) - 4\)

\( \: \: \: \)

\( \sf \: 20 - 4\)

\( \: \: \: \)

\( \sf \: 16\)Hope It's Helps~

The value of the expression, 5x^2 - 4, when x = 2 is: 16.

What is the the Value of an Expression?

To find the value of an expression, plug in the given value of the variable and solve by simplifying.

Given the expression, 5x^2 - 4, when x = 2, we would have:

5(2)^2 - 4

5(4) - 4

20 - 4

= 16

Therefore, the value of the expression, 5x^2 - 4, when x = 2 is: 16.

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the eagles had a record of 16 wins and 12 loses. What was the ratio of wins to losses?



(answer for brainliest)

Answers

Answer:

16/12  or 4/3

Math


Andrew is working out expenses for his job.
He can claim 45p for each mile that he drives as part of his job.
For one journey he writes down
Mileage at end of journey
Mileage at start of journey
79 165
78 937
(a) Work out how much money Andrew can claim for this journey.
Give your answer in pounds.
£.

Answers

Answer: £102.60

Step-by-step explanation:

79165-78937=228

228x45=10260

10260/100=102.60

A 3m ribbon is cut into two pieces.The shorter length measures 0.75m.Write the ratio of the shorter length to the longer length in the simplest form a:b,

Answers

Answer:

let length of Ribbon B l

Therefore

L=30

Ribbons cutted in ratio 5 is to 3

Therefore length of ribbonS

Be 30*5

=150

And 3*30=90

Therefore lengths of ribbons be 150 and 90

hope this helps :)

have a great day ahead!

Question 7
2 pts
In a integer optimization problem with 5 binary variables, the maximum number of potential solutions is:
32
125
25
10
Question 8

Answers

The correct answer is 32.

In an integer optimization problem with binary variables, each variable can take one of two possible values: 0 or 1. Therefore, for 5 binary variables, each variable can be assigned either 0 or 1, resulting in 2 possible choices for each variable. The maximum number of potential solutions in an integer optimization problem with 5 binary variables is 32 because each binary variable can take on 2 possible values (0 or 1)

In this case, we have 5 binary variables, so the maximum number of potential solutions is given by 2 * 2 * 2 * 2 * 2, which simplifies to 2^5. Calculating 2^5, we find that the maximum number of potential solutions is 32.

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what is the slope- intercept form of 3x-y=8

Answers

Answer:

\(y=3x-8\)

Step-by-step explanation:

slope intercept form is \(y=mx+b\) so just get the equation to look like this\(3x-y=8\\3x-(3x)-y=8-(3x)\\-y=-3x+8\\y=3x-8\)

Of the 300 students at Central Middle School, 20% are on the honor roll.
How many students are NOT on the honor roll?

Answers

240 isn’t on honor roll
Answer: 240 students

Explanation:
For this problem, we know that there are 300 students at this school so we can say that is 100%. Since we know 20% are on the honor roll, then (100% - 20% = )80% are not. Given this, we can say the following:

#ofStudentsNotOnHonorRoll = #ofStudents * %notOnHonorRoll
= 300 * 80%
= 300 * .8
= 240

Hope this helps.

Cheers

IMPORTANT!!! PLEASE ANSWER IMMEDIATELY!!!
Anita can clean a typical pool in 8 hours. Chao can clean a typical pool in 6 hours. How long should it take Anita and Chao working together to clean a typical pool? Show all your work. Leave your final answer as an integer or reduced fraction.

Answers

The answer should be 3.5 hours
Answer:  24/7

=====================================================

Explanation:

Let's say the pool is 4800 gallons. I'm picking this number since 8*6 = 48 and I tacked a few zeros at the end to make the volume a bit more reasonable for a swimming pool. This might be on the low end of the spectrum. It turns out that the actual volume doesn't matter and you can pick whatever favorite number you want.

The pool being 4800 gallons means Anita's rate is 4800/8 = 600 gallons per hour if working alone.

If Chao works alone, then the rate is 4800/6 = 800 gallons per hour.

Their combined rate is 600+800 = 1400 gallons per hour. This assumes neither person slows the other down.

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

x = amount of time they work together

1400x = number of gallons cleaned after x hours

1400x = 4800

x = 4800/1400

x = (24*200)/(7*200)

x = 24/7 is the final answer

x = 3.43

It takes about 3.43 hours to clean the pool if they worked together, and if they didn't slow each other down.

HELP NEEDED NOT HARD 5 PTS
You are renting a moving truck and need to find one with
enough space to carry your furniture. All the trucks are 7 feet
tall and 6 feet wide, but the lengths vary.
You need a truck with a volume of 840 cubic feet. Use the
volume of a rectangular prism formula V lwh to find the
length of the truck you need?

Answers

Answer:

20 Feet

Step-by-step explanation:

If the trucks are all 7 feet tall, and 6 feet wide, then we can find out how long we need the truck to be by using this equation:

(l = length)

7 × 6 x l = 840

Or we can simply multiply 6 and 7 then divide 840 by that number.

6 × 7 = 42

840 ÷ 42 = 20

The truck would need to be 20 feet long to carry all of your furniture.

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