Complete the truth table for (A ⋁ B) ⋀ ~(A ⋀ B).

Complete The Truth Table For (A B) ~(A B).

Answers

Answer 1

The truth table for (A ⋁ B) ⋀ ~(A ⋀ B) is:

A   B   (A ⋁ B) ⋀ ~(A ⋀ B)

0   0                0

0    1                0

1     0               0

1     1                0

The truth table is what?

A truth table is a table that displays all possible combinations of truth values (true or false) for one or more propositions or logical expressions, as well as the truth value of the resulting compound proposition or expression that is created by combining them using logical operators like AND, OR, NOT, IMPLIES, etc.

The columns of a truth table reflect the propositions or expressions themselves as well as the compound expressions created by applying logical operators to them. The rows of a truth table correspond to the various possible combinations of truth values for the propositions or expressions.

To complete the truth table for (A ⋁ B) ⋀ ~(A ⋀ B), we need to consider all possible combinations of truth values for A and B.

A   B   A ⋁ B   A ⋀ B   ~(A ⋀ B)   (A ⋁ B) ⋀ ~(A ⋀ B)

0   0      0            0             1                      0

0    1       1            0             1                      0

1    0       1            0             1                      0

1    1        1             1             0                     0

So, the only case where the expression is true is when both A and B are true, and for all other cases it is false.

To know more about truth tables, visit:

https://brainly.com/question/31482105

#SPJ1


Related Questions

Gary wants to make a circular pond in his yard and put a low fence around the edge. If Gary has 124 feet of fencing, which is closest to the area of the largest circular pond he can make with the fencing?

Answers

In a case whereby Gary wants to make a circular pond in his yard and put a low fence around the edge. If Gary has 124 feet of fencing,  the closest to the area of the largest circular pond he can make with the fencing is 1471.61ft^2

How can the  area of the largest circular pond be calculated?

We were told that he will bw making a pond which is circular in nature, then We can assume that the radius is R, then 2 πR = 136

R= 136/2 π

R= 68/π

The the are of the pond= πR^2

=  π * (68/π)^2

=1471.61ft^2

Learn more about area at:

https://brainly.com/question/25292087

#SPJ1

Find the volume of this sphere.
Use 3 for TT.
-d=6in
V ≈ [?] in ³
V = πr³
Enter

Answers

If the volume formula is from the question it would 3*(6/2)^3 =27 because the radius is diameter divided by 2 but if it’s the formula I know which 4/3 pie (r)^3 it would be 4/3(3)(3)^3 =36

Answer: Spheres aren’t three-dimensional—they are two-dimensional. This is evident from the fact that in order to specify a point on a sphere, you only need two pieces of information, such as latitude and longitude.

If you include the interior of the sphere, this is instead called a closed ball, and that is three-dimensional. You can specify a point in the closed ball in all sorts of different ways; one of the most convenient would be latitude, longitude, and distance from the center. However, other than convenience, there is no reason to prefer one coordinate system over any other.

(This fact has nothing to do with spheres or closed balls—that is just a statement that is generally true. People who insist that “the three dimensions” are length, width, and height don’t know what they are talking about.)

Step-by-step explanation:


2. A non-Jewish woman meets with a Jewish counselor to seek guidance on dealing with he
future Jewish in-laws. The Jewish counselor has strong personal beliefs against interfaith
marriages. At the end of the third session, the counselor recommends that the client
reconsider marrying her fiancé.
Harmful use of bias?
Unharmful use of bias?

Answers

As the counselor recommends that the client reconsider marrying her fiancé based on his belief discretion, this is an example of harmful use of bias.

Why is the Scenario an example of harmful Bias?

The counselor's personal beliefs against interfaith marriages are influencing their professional advice, which can be harmful to the client's well-being and may even violate ethical guidelines for mental health professionals.

The counselor should provide unbiased and objective guidance to the client based on their specific needs and circumstances, rather than imposing their own beliefs or values onto the client's decision-making process.

Read more about Bias

brainly.com/question/24491228

#SPJ1

Calculate Volume of Air passing through Filter HEPA Filter 100ft/min *- Airflow 4ft 2ft Volume = Filter Area x Airflow Velocity

Answers

The volume of air passing through the HEPA filter is 800 cubic feet per minute (CFM).

Describe Volume?

In general, volume refers to the amount of space occupied by a three-dimensional object. In physics, volume is a measure of the amount of space an object takes up, typically measured in cubic meters (m³) or cubic centimeters (cm³).

In mathematics, volume is often used to refer to the measure of the size of a solid object or region in three-dimensional space. This measure can be calculated using various methods depending on the shape of the object or region, such as integration, formulae, or counting.

For example, the volume of a cube can be calculated by multiplying its length, width, and height together. The volume of a sphere can be calculated using the formula 4/3πr³, where r is the radius of the sphere.

In finance, volume can also refer to the number of shares or contracts traded in a particular market or stock exchange over a given period of time. High trading volume often indicates a more active market, while low trading volume may indicate less interest or activity in a particular security or market.

The formula for calculating the volume of air passing through a filter is:

Volume = Filter Area x Airflow Velocity

Given that the airflow velocity is 100 ft/min and the dimensions of the filter are 4 ft x 2 ft, we can calculate the filter area as:

Filter Area = Length x Width

Filter Area = 4 ft x 2 ft

Filter Area = 8 square feet

Now we can substitute the values into the formula:

Volume = Filter Area x Airflow Velocity

Volume = 8 sq ft x 100 ft/min

Volume = 800 cubic feet per minute (CFM)

Therefore, the volume of air passing through the HEPA filter is 800 cubic feet per minute (CFM).

To know more about area visit:

https://brainly.com/question/7624796

#SPJ1

honestly have no clue how to do this​

Answers

For regular nonagon the no, of One int = 40° and the One ext = 140°.

What about regular nonagon?

A regular nonagon is a two-dimensional polygon that has nine equal sides and nine equal angles. It is also called an enneagon. The word "regular" means that all the sides and angles of the nonagon are congruent, or equal.

According to the given information:

The sum of the interior angles of a regular nonagon is given by the formula:

Sum of interior angles = (n - 2) x 180 degrees, where n is the number of sides

For a regular nonagon, n = 9, so the sum of the interior angles is:

Sum of interior angles = (9 - 2) x 180 degrees = 1260 degrees

Each angle of a regular nonagon can be calculated by dividing the sum of the interior angles by the number of angles. For a regular nonagon, each angle is:

Angle = Sum of interior angles / Number of angles = 1260 degrees / 9 = 140 degrees.

In a regular nonagon each of the 9 exterior angles will be 40° , 360/9 and their sum being 360°.

In the same way,

Each of the 9 interior angles will be 140°, ( 180 -40) , and their sum 1260°

To know more about nonagon visit:

https://brainly.com/question/21094232

#SPJ1

Hello, I am confused on how to answer this question.

Answers

Answer: x=14

Step-by-step explanation:

cb=10.

ac=14

The value of X will be 14.

This is a simple mathematics problem that can be solved by using ratios.

Given, AC : BC : AB = 7 : 5 : 8

AC = X ; BC = 10 ; AB = X + 2

AC/ BC = X/ 10 = 7/5  (Ratios can also be represented as fractions)

X/10 = 7/5

On Transposing,

5X = 70

X = 70/5

X = 14

Alternatively,

BC/AB = 5/8 = 10/ (X + 2)

5/8 = 10/ (X + 2)

On Transposing,

80 = 5X + 10

5X = 70

X = 14

To know more about Ratios,

https://brainly.com/question/29442975

Which equation shows how to find a percentage?
O
part
10
=
percent
100
part
100
=
percent
10
percent
whole
=
part
whole
percent
whole
part
whole

Answers

The equation that shows how to find a percentage is:

part/whole = percent/100

This equation can be used to solve for any of the three variables, given the values of the other two.

complete the vector to describe the transformation

Answers

The translation vector for the rectangle is described by T(x, y) = (- 3, - 6).

How to derive the translation vector of an entire figure

In this problem we must derive the translation vector between a rectangle and its image set on Cartesian plane (let assume that the origin is on the lower left corner of the square). The translation formula is:

B(x, y) = A(x, y) + T(x, y)

Where:

A(x, y) - Coordinates of the original point.B(x, y) - Coordinates of the image.T(x, y) - Translation vector.

If we know that A(x, y) = (6, 9) and B(x, y) = (3, 3), then the translation vector is:

T(x, y) = B(x, y) - A(x, y)

T(x, y) = (3, 3) - (6, 9)

T(x, y) = (- 3, - 6)

To learn more on translations: https://brainly.com/question/21117201

#SPJ1

Helpppp

The half-life of Radium-226 is 1590 years. If a sample contains 300 mg, how many mg will remain after 2000 years? -------------

Answers

If a sample contains 300 mg, 129.6 mg of Radium-226 will remain after 2000 years.

What is half life?

The period of time it takes for half of the radioactive atoms in a sample to decay is known as the half-life. This means that if you start with a given amount of a radioactive chemical, half of it will have decayed after one half-life, and so on. After two half-lives, just one quarter will be left.

A radioactive substance's half-life, which is one of its distinguishing characteristics, can be used to forecast how quickly it will degrade over time. Scientists can compute a radioactive substance's half-life and use it to infer the age of rocks and fossils by measuring how much of the radioactive substance is still there after a predetermined period of time.

The radioactive decay is given by the formula:

[tex]N(t) = N_0 * (1/2)^{(t/T)}[/tex]

Substituting the given values we have:

[tex]N(2000) = 300 * (1/2)^{(2000/1590)}[/tex]

N(2000) ≈ 129.6 mg

Therefore, approximately 129.6 mg of Radium-226 will remain after 2000 years.

Learn more about exponential decay here:

https://brainly.com/question/14355665

#SPJ1

can anyone help me with this?

Answers

Answer:

The surface area is 65.94 ft

20 POINTS Use the equation you wrote in problem six to complete the table. (This is already done I just need an explanation cause I don’t get it.(grade 8 work)

Answers

An equation in slope-intercept form that models the situation is y = 1.50x + 4.

The table has been completed below.

What is the slope-intercept form?

In Mathematics and Geometry, the slope-intercept form of the equation of a straight line is given by this mathematical expression;

y = mx + c

Where:

m represents the slope or rate of change.x and y are the points.c represents the y-intercept or initial value.

Based on the information provided above, an equation in slope-intercept form that models the situation is given by;

y = mx + c

y = 1.50x + 4

When x = 2, the total cost (y) is given by;

y = 1.50(2) + 4

y = $7.

When x = 4, the total cost (y) is given by;

y = 1.50(4) + 4

y = $10.

When x = 6, the total cost (y) is given by;

y = 1.50(6) + 4

y = $13.

When x = 8, the total cost (y) is given by;

y = 1.50(8) + 4

y = $16.

Read more on slope-intercept here: brainly.com/question/7889446

#SPJ1

4p + 1 < −11 or 6p + 3 > 39

Answers

The solution to the compound inequality 4p + 1 < −11 or 6p + 3 > 39 is p > 6 or p > -3.

What is compound inequality?

A compound inequality is a mathematical statement that involves two or more inequalities joined by either the word "and" or "or". The solution set of a compound inequality is the set of all values that satisfy both (in the case of "and") or either (in the case of "or") of the individual inequalities.

According to question:

Let's solve each inequality separately:

4p + 1 < −11

Subtracting 1 from both sides, we get:

4p < -12

Dividing both sides by 4 (and remembering to flip the inequality because we are dividing by a negative number), we get:

p > -3

So the solution to the first inequality is:

p > -3

Now let's look at the second inequality:

6p + 3 > 39

Subtracting 3 from both sides, we get:

6p > 36

Dividing both sides by 6, we get:

p > 6

So the solution to the second inequality is:

p > 6

Therefore, the solution to the compound inequality 4p + 1 < −11 or 6p + 3 > 39 is:

p > 6 or p > -3

This can be written more simply as:

p > -3

To know more about compound inequality visit:

https://brainly.com/question/30307684

#SPJ1

Need help with is question

Answers

Answer:

27.78%

Step-by-step explanation:

To calculate the percentage of the total spending that is on rent, we need to divide the amount spent on rent by the total amount spent, and then multiply by 100 to get the percentage.

Total spending = food + rent + other + fun

Total spending = $400 + $500 + $600 + $300

Total spending = $1800

So, the percentage of the total spending that is on rent is:

($500 / $1800) x 100% = 27.78%

Therefore, approximately 27.78% of the total spending is on rent.

Find the volume of the cube shown 

Answers

Answer:125 meters

Step-by-step explanation:

volume of a cube is w^3

w=5

5*5*5

125 meters

A 9th grade teacher at a local high school wants to know which subject the 9th grade students in the high school like best which group of people should make up a sample that will best answer her question a, other 9th grade teachers in her school
B, parents of 9th graders in her school
C, 9th graders in her school
D,9th graders in her homeroom

Answers

The group of people who should make up a sample that will best answer her question is the 9th graders in her school. The correct option is C.

What are subjects?

Subjects are the different sets of information which is studied.

9th graders in her school will be perfect because the question is specifically asking about the opinions of 9th-grade students in the high school, so it makes sense to sample this group directly.

The other options may provide some insights, but they may not be as accurate or representative of the opinions of the 9th-grade students in the school.

Thus, the correct option is C, 9th graders in her school.

Learn more about subjects, here:

https://brainly.com/question/23548366

#SPJ1

Use the diagram to copy the statement.

[ AGBDFE]
It’s complicated and I don’t know where to start

Answers

Thus, for the given similar triangles-

11. ΔCAG ≈ Δ CEF (Angle-Angle similarity)

12. ΔACB ≈ ΔCED (Angle-Angle similarity)

13. ∠ACB = ∠ECD = 92° (vertical angles)

17. BC = √32

Explain about the similar triangle:

Congruent triangles and similar triangles are two distinct but closely related concepts. Similar triangles are any two or more triangles having the identical proportions of their corresponding sides, an equal pair with corresponding angles, and their similar shape.

For the given values:

11. ΔCAG ≈ Δ CEF (Angle-Angle similarity)

∠ACG = ∠ECF (vertical angles)

∠GAC= ∠CEF (alternate interior angles)

12. ΔACB ≈ ΔCED (Angle-Angle similarity)

∠ACB = ∠ECD (vertical angles)

∠BAC = ∠CED (alternate interior angles)

13. m∠ECD = ?

In Δ ACB

53 + 45 + ∠ACB = 180

∠ACB = 180 - 98

∠ACB = 92

∠ACB = ∠ECD = 92° (vertical angles)

17. BC = ?

BC² = GB² + GC²

BC² = 4² + 4²

BC = √32

14. m∠ECF = m∠GCA  (vertical angles)

Know more about the similar triangle:

https://brainly.com/question/14285697

#SPJ1

Complete question:

For the following figure- Determine:

11. ΔCAG ≈

12. ΔACB ≈

13. m∠ECD = ?

17. BC = ?

Consider the two-node circuit shown below:


The node voltages V₁ and V₂ (in volts) satisfy the following system of equations:

15V₁ = 7V₂ + 60

3V₂ + 10 = 3V₁

a) Write the system of equations in the matrix form AV-B, where V = [V1, V2]

b) Find V₁ and V₂ using the matrix algebra method. Perform all matrix computations and show all steps.

Answers

a) The system of equations can be written in the matrix form AV-B as: | -3 3 | | V2 | | -10 |

b) V1 = 369/22 volts and V2 = -51/22 volts.

What is matrix?

A matrix is a rectangular array of numbers or symbols, arranged in rows and columns. Matrices are often used in mathematics, science, engineering, and other fields to represent and manipulate data, perform operations, and solve equations. The size of a matrix is determined by the number of rows and columns it contains, and is usually written in the form "m x n", where "m" is the number of rows and "n" is the number of columns. Matrices can be added, subtracted, multiplied, transposed, and inverted, and can be used to represent a wide range of mathematical objects, including systems of linear equations, transformations, and graphs.

a) The system of equations can be written in the matrix form AV-B as:

| 15 -7 | | V1 | | 60 |

| | x | | = | |

| -3 3 | | V2 | | -10 |

b) To solve for V1 and V2 using matrix algebra, we can use the inverse of matrix A as follows:

AV = B

V = A⁻¹B

First, let's find the inverse of matrix A:

A = | 15 -7 |

| -3 3 |

To find the inverse of A, we need to calculate the determinant of A:

det(A) = (15)(3) - (-7)(-3) = 66

Then, we can find the inverse of A as follows:

A⁻¹ = (1/det(A)) x | 3 7 |

| 3 15 |

Now, we can solve for V by multiplying A⁻¹ and B:

| V1 | | 3 7 | | 60 | | 369/22 |

| | = | | x | | = | |

| V2 | | 3 15 | |-10 | | -51/22 |

Therefore, V1 = 369/22 volts and V2 = -51/22 volts.

To know  more about matrix visit:

https://brainly.com/question/27929071

#SPJ1

Which statements are always true regarding the diagram? Select three options. m∠5 + m∠3 = m∠4 m∠3 + m∠4 + m∠5 = 180° m∠5 + m∠6 =180° m∠2 + m∠3 = m∠6 m∠2 + m∠3 + m∠5 = 180°

Answers

The answer are in angle m∠5+m∠6=180°,m∠2+m∠3=m∠6,m∠2+m∠3+m∠5=180°.

What is angle?

Angle is a geometric concept that is used to describe the relationship between two lines or planes. It is measured in degrees, with a full circle being 360 degrees. Angles are used in mathematics to measure the size of a shape and the amount of turn between two lines. In physics, angles are used to describe the force of friction, the direction of a force, and the direction of light. Angles can also be used to describe the orientation of objects in space.

case A) we have

m∠5+m∠3=m∠4 ----> equation A

we know that

m∠3+m∠4=180° -----> by supplementary by angles

m∠4=180°-m∠3 ----> equation B

substitute the equation- B in equation A

m∠5+m∠3=180°-m∠3

m∠5+m∠3+m∠3=180°

This equation is true when m∠2=m∠3

therefore

Is not always true

case B) we have

m∠3+m∠4+m∠5=180° ----> equation A

we know that

m∠3+m∠4=180° -----> by supplementary to angles

m∠4=180°-m∠3 ----> equation B

substitute equation B in equation A

m∠3+(180°-m∠3)+m∠5=180°

m∠5=0°

This option is not true

case C) we have

m∠5+m∠6=180°

we know that

m∠5 and +m∠6 are supplementary angles

so

Their sum is always 180 degrees

therefore

This option is always true

case D) we have

m∠2+m∠3=m∠6 -----> equation A

we know that

m∠5+m∠6=180° ----> by supplementary angles

m∠6=180°-m∠5 ----> equation B

substitute equation B in equation A

m∠2+m∠3=180°-m∠5

m∠2+m∠3+m∠5=180°

Remember that the sum of any of tAnswer:

Step-by-step explanation:

he interior angles that of a triangle must be equal to 180 degrees

therefore

This option is true for sure

case E) we have

m∠2+m∠3+m∠5=180°.

To know more about angle click-
https://brainly.com/question/25716982
#SPJ1

Draw a bar model to represent the expression

t-2

Answers

One such tool that enables us to visualise the given math issue using various-sized rectangles or bars is the bar model.

What is bar model Representation?

A bar model in mathematics is a visual representation of a subject or problem where the known and unknown quantities are represented by bars or boxes. To answer issues involving the four operations of addition, subtraction, multiplication, and division, bar models are most frequently utilised.

To help kids "see" mathematical structure, the bar model is utilised in teaching for mastery. It is not a method for solving issues, but rather a strategy to uncover the mathematical underpinnings of a problem and obtain knowledge and clarity to aid in its resolution.

To know more about bar model, visit:

https://brainly.com/question/2362012

#SPJ1

Image attached below,

The product of two numbers is 2420 and their LCM is 110.Find the HCF
of the two numbers.

Answers

Answer: Let the two numbers be x and y. We know that:

x*y = 2420 ---(1)

LCM(x, y) = 110 ---(2)

We can write the LCM as:

LCM(x, y) = (x*y)/HCF(x, y)

Substituting the given values, we get:

110 = (x*y)/HCF(x, y)

Multiplying both sides by HCF(x, y), we get:

HCF(x, y) * 110 = x*y

Substituting equation (1), we get:

HCF(x, y) * 110 = 2420

Dividing both sides by 110, we get:

HCF(x, y) = 2420/110

HCF(x, y) = 22

Therefore, the HCF of the two numbers is 22.

Step-by-step explanation:

Nora bought 100 shares of a technology stock and 200 shares of a mutual fund for $3600. Her sister, Erin, bought 300 shares of
the technology stock and 50 shares of the same mutual fund for $5300. Find the cost per share of the technology stock, and the
cost per share of the mutual fund.

Answers

The cost per share of the technology stock is $14.

What is a variable?

In mathematics, a variable is a symbol or letter that represents a value or a quantity that can change or vary in a given context or problem. Variables are used to express mathematical relationships and to formulate equations and functions.

Let's use variables to represent the cost per share of the technology stock and the mutual fund. We can call the cost per share of the technology stock "T" and the cost per share of the mutual fund "M".

From the problem, we know:

Nora bought 100 shares of the technology stock and 200 shares of the mutual fund for a total of $3600:

100T + 200M = 3600

Erin bought 300 shares of the technology stock and 50 shares of the mutual fund for a total of $5300:

300T + 50M = 5300

We now have a system of two equations with two variables. We can solve for T and M by using elimination or substitution. Here, we will use the substitution method:

From the first equation, we can isolate T by subtracting 200M from both sides:

100T = 3600 - 200M

Divide both sides by 100 to get:

T = 36 - 2M

Now substitute this expression for T into the second equation:

300(36 - 2M) + 50M = 5300

Expand and simplify:

10M = 1100

Divide both sides by 10 to get:

M = 110

So the cost per share of the mutual fund is $110.

To find the cost per share of the technology stock, we can substitute M = 110 into either of the original equations. Let's use the first equation:

100T + 200(110) = 3600

Simplify:

100T = 1400

Divide both sides by 100 to get:

T = 14

So the cost per share of the technology stock is $14.

To learn more about variable visit the link:

https://brainly.com/question/28248724

#SPJ9

Landon and Maria are meeting at the library to work on their history project. Maria walks 9 blocks east and 3 blocks north to get to the library from her house. Landon walks 5 blocks south and 7 blocks west to get to the library from his house. The map below shows the location of the library and Landon's and Maria's houses. To the nearest block, how far is Landon's house from Maria's house if Maria could walk in a straight line?

Answers

To the nearest block, Landon's house is at distance of 12 blocks away from Maria's house if Maria could walk in a straight line.

What is Pythagoras theorem?

A basic mathematical theorem relating to the sides of a right-angled triangle is known as Pythagoras' theorem. The square of the length of the hypotenuse, the side that faces the right angle, is said to be equal to the sum of the squares of the lengths of the other two sides, known as the legs, in a right triangle.

This can be written in mathematical notation as:

c² = a² + b²

where c is the length of the hypotenuse, and a and b are the lengths of the legs of the right triangle.

In this case, we can consider the straight line between Maria's house and Landon's house as the hypotenuse of a right triangle, with the distances they walked as the other two sides. We can use the distance formula to find the lengths of those sides:

Distance walked by Maria = √(9² + 3²) = √90 ≈ 9.49 blocks

Distance walked by Landon = √(5² + 7²) = √74 ≈ 8.60 blocks

Now we can use the Pythagorean theorem to find the distance between their houses:

Distance between houses = √(9.49² + 8.60²) ≈ 12.46 blocks

To know more about Pythagoras' theorem, visit:

https://brainly.com/question/21926466

#SPJ1

Find the area of the circle with a circumference of
. Write your solution in terms of
.

Area in terms of
: ______

Answers

Answer:

circumference of a circle is

[tex]2\pi\:r[/tex]

And the area of the circle is

[tex]\pi \: r {}^{2} [/tex]

Solve the equations using suntraction. Show all your work.
X-6y=11 and 2x-5y=1

Answers

We can solve the system of equations using the method of subtraction, which involves eliminating one variable by adding or subtracting two equations.

To use this method, we need to choose one variable to eliminate. In this case, we can eliminate the variable "x" by multiplying the first equation by 2 and the second equation by -1, and then adding the two resulting equations. This will give us an equation in terms of "y" that we can solve, and then use the solution to find the value of "x".

Here are the steps:

Multiplying the first equation by 2, we get:

2x - 12y = 22

Multiplying the second equation by -1, we get:

-2x + 5y = -1

Adding the two resulting equations, we get:

-7y = 21

Dividing both sides by -7, we get:

y = -3

Now that we have solved for "y", we can substitute this value back into either of the original equations to find the value of "x". Let's use the first equation:

x - 6y = 11

x - 6(-3) = 11

x + 18 = 11

Subtracting 18 from both sides, we get:

x = -7

Therefore, the solution to the system of equations using the method of subtraction is:

x = -7 and y = -3.

Prove that any simple connected graph with 7 vertices and 16 edges is not planar using proof by contradiction.

Answers

Step-by-step explanation:

We can use Euler's formula to approach this problem:

For a connected planar graph with V vertices, E edges, and F faces (including the outer face), Euler's formula states that:

V - E + F = 2

We know that our graph has 7 vertices and 16 edges. Assume, for the sake of contradiction, that this graph is planar. Then it must have a certain number of faces.

We know that each face of a planar graph must have at least 3 edges, and each edge is adjacent to two faces. Thus, the total number of edges in all the faces is at least 3F. On the other hand, each edge in the graph is adjacent to two vertices, so the total number of edges is 2V. Therefore:

3F ≤ 2V (1)

Using the fact that the graph is simple, each face of the graph is bounded by at least three edges. Therefore, the total number of edges in the graph is at least 3F/2. On the other hand, we know that the graph has 16 edges. Thus:

3F/2 ≤ 16 (2)

Combining inequalities (1) and (2) gives:

3F/2 ≤ 2V

3F/2 ≤ 14 (since V = 7)

F ≤ 9/2

This means that the number of faces in the graph is less than or equal to 9/2, which is impossible since the number of faces must be a non-negative integer. Therefore, our assumption that the graph is planar must be false, and we have proven that any simple connected graph with 7 vertices and 16 edges is not planar.

Suppose that ​19,665$ is invested at an interest rate of ​6.8% per​ year, compounded continuously.
​a) Find the exponential function that describes the amount in the account after time​ t, in years.
​b) What is the balance after 1​ year? 2​ years? 5​ years? 10​ years?
​c) What is the doubling​ time?

helppppppp

Answers

Answer: a) The exponential function that describes the amount in the account after time t, in years, is given by:

A(t) = Pe^(rt)

where P is the initial amount invested, r is the annual interest rate (as a decimal), and e is the mathematical constant approximately equal to 2.71828.

Substituting the given values, we get:

A(t) = 19665e^(0.068t)

b) To find the balance after 1 year, we substitute t = 1 in the above formula:

A(1) = 19665e^(0.068*1) = $20,983.88

To find the balance after 2 years, we substitute t = 2:

A(2) = 19665e^(0.068*2) = $22,429.45

To find the balance after 5 years, we substitute t = 5:

A(5) = 19665e^(0.068*5) = $29,137.27

To find the balance after 10 years, we substitute t = 10:

A(10) = 19665e^(0.068*10) = $43,127.22

c) The doubling time can be found using the formula:

t = ln(2)/r

where ln is the natural logarithm function. Substituting the given values, we get:

t = ln(2)/0.068 ≈ 10.20 years

Therefore, the doubling time is approximately 10.20 years.

Step-by-step explanation:

What is the value of x?

Answers

Answer:

55°

Step-by-step explanation:

the total sum of a triangle is 180.

75+50= 125

180-125= 55

& since x is an acute angle we know x is less than 90.

Use the quadratic formula to solve for x.
2x²+2x-1=0

Answers

Answer:

The quadratic formula is:

x = (-b ± sqrt(b^2 - 4ac)) / 2a

where a, b, and c are the coefficients of the quadratic equation ax^2 + bx + c = 0.

In the equation 2x^2 + 2x - 1 = 0, we have:

a = 2

b = 2

c = -1

Substituting these values into the formula, we get:

x = (-2 ± sqrt(2^2 - 4(2)(-1))) / (2)(2)

Simplifying this expression, we get:

x = (-2 ± sqrt(4 + 8)) / 4

x = (-2 ± sqrt(12)) / 4

x = (-2 ± 2sqrt(3)) / 4

x = (-1 ± sqrt(3)) / 2

Therefore, the solutions to the equation 2x^2 + 2x - 1 = 0 are:

x = (-1 + sqrt(3)) / 2

x = (-1 - sqrt(3)) / 2

Hey everyone! I am on here to ask for help with a question on my little brother's math page. I'm a little stumped, as well as my mom, and we just want to be able to get him to the right answer. If anyone is willing to help out, it would be much appreciated! :) P.S: It is asking us to find the area of this trapezoid. ​

Answers

The area of a trapezoid is equal to 1/2 times the 2 bases added together (bases of a trapezoid are parallel, and in this case it looks like it's 2m and 2.5m) times the height of the trapezoid (perpendicular to the opposite side, and forms a right angle).

So the equation would be 1/2 (2 + 2.5) times 6, which is 13.5 meters squared.

Peanuts sell for Php 10.00 per gram. Cashews sell for Php 8.00 per gram. How many grams of cashews should be mixed with 12 g of peanuts to obtain a mixture that sells for Php 9.00 per gram?

PEANUTS CASHEWS MIXTURE Number of Grams (g) 12 X 12+ X Price per grams Php 10.00 Php 8.00 Php 9.00 Total Price Phn10x12 = Php 120 8x 9 [12+x]​

Answers

Answer:

Phn10x12

Step-by-step explanation:

PEANUTS CASHEWS MIXTURE Number of Grams (g) 12 X 12+ X Price per grams Php 10.00 Php 8.00 Php 9.00 Total Price Phn10x12 = Php 120 8x 9 [12+x]​

Other Questions
jack has received an email that asks him to help a distant relative in kenya by sending his bank account information to transfer a small amount of funds. jack is the victim of a(n) members of lophotrochozoa possess either an lophophore or an trochophore larval stage. are these characteristics an example of synapomorphy _____ is the act of fraudulently using email to try to get the recipient to reveal personal data. The box plots display measures from data collected when 20 people were asked about their wait time at a drive-thru restaurant window.A horizontal line starting at 0, with tick marks every one-half unit up to 32. The line is labeled Wait Time In Minutes. The box extends from 8.5 to 15.5 on the number line. A line in the box is at 12. The lines outside the box end at 3 and 27. The graph is titled Super Fast Food.A horizontal line starting at 0, with tick marks every one-half unit up to 32. The line is labeled Wait Time In Minutes. The box extends from 9.5 to 24 on the number line. A line in the box is at 15.5. The lines outside the box end at 2 and 30. The graph is titled Burger Quick.Which drive-thru typically has more wait time, and why? Burger Quick, because it has a larger median Burger Quick, because it has a larger mean Super Fast Food, because it has a larger median Super Fast Food, because it has a larger meanQuestion 2The box plot represents the number of tickets sold for a school dance.A horizontal line labeled Number of Tickets sold that starts at 8, with tick marks every one unit up to 30. The graph is titled Tickets Sold for A Dance. The box extends from 17 to 21 on the number line. A line in the box is at 19. The lines outside the box end at 10 and 27.Which of the following is the appropriate measure of center for the data, and what is its value? The mean is the best measure of center, and it equals 19. The median is the best measure of center, and it equals 4. The median is the best measure of center, and it equals 19. The mean is the best measure of center, and it equals 4.Question 3A charity needs to report its typical donations received. The following is a list of the donations from one week. A histogram is provided to display the data.5, 5, 6, 8, 10, 15, 18, 20, 20, 20, 20, 20, 20A graph titled Donations to Charity in Dollars. The x-axis is labeled 1 to 5, 6 to 10, 11 to 15, and 16 to 20. The y-axis is labeled Frequency. There is a shaded bar up to 2 above 1 to 5, up to 3 above 6 to 10, up to 1 above 11 to 15, and up to 7 above 16 to 20.Which measure of variability should the charity use to accurately represent the data? Explain your answer. The range of 13 is the most accurate to use, since the data is skewed. The IQR of 13 is the most accurate to use, since the data is skewed. The range of 20 is the most accurate to use to show that they have plenty of money. The IQR of 20 is the most accurate to use to show that they need more money.Question 4The circle graph describes the distribution of preferred transportation methods from a sample of 400 randomly selected San Francisco residents.circle graph titled San Francisco Residents' Transportation with five sections labeled walk 40 percent, bicycle 8 percent, streetcar 15 percent, bus 10 percent, and cable car 27 percentWhich of the following conclusions can we draw from the circle graph? Together, Streetcar and Cable Car are the preferred transportation for 168 residents. Together, Walk and Streetcar are the preferred transportation for 55 residents. Bus is the preferred transportation for 45 residents. Bicycle is the preferred transportation for 50 residents.Question 5The line plot displays the number of roses purchased per day at a grocery store.A horizontal line starting at 1 with tick marks every one unit up to 10. The line is labeled Number of Rose Bouquets, and the graph is titled Roses Purchased Per Day. There is one dot above 1 and 2. There are two dots above 8. There are three dots above 6, 7, and 9.Which of the following is the best measure of variability for the data, and what is its value? The range is the best measure of variability, and it equals 8. The range is the best measure of variability, and it equals 2.5. The IQR is the best measure of variability, and it equals 8. The IQR is the best measure of variability, and it equals 2.5.Question 7At a recent baseball game of 5,000 in attendance, 150 people were asked what they prefer on a hot dog. The results are shown.Ketchup Mustard Chili63 27 60Based on the data in this sample, how many of the people in attendance would prefer mustard on a hot dog? 900 2,000 2,100 4,000Question 8The number of milligrams of Vitamin C from 100 different gummy vitamins sold in the world was collected.Which graphical representation would be most appropriate for the data, and why? Box plot, because the median can easily be determined from the large set of data Stem-and-leaf plot, because you can see the shape of the data Histogram, because it shows each individual data point Bar chart, because the data is categorical of the three entity, boundary, & controller classes, which will require the most effort when transitioning from analysis to software design? explain your answer. explain why the hybrid gene mrna transcript does not undergo 3' cleavage and polyadenylation. ________ provides individuals within an organization with the financial information needed to make good business decisions. dogs that had developed ________ after being strapped in a harness and given repeated shocks later did not try to escape when given the opportunity to do so. A portfolio consists of the following 2 stocks: Stock Amount Invested Beta A $1 million 1.6 B 0.2 million 0.6 Market risk premium is 5% and the risk free rate is 6%. What is the required return on the portfolio? a. 12.3% b. 13.2% c. 14.1% d. 11.7%e. 13.7% BB Games was originally selling Pro Curling Deluxe at its MSRP of $86.49. A few months later, remaining copies are being sold for 25% off. What is the sale price? For full marks your answer(s) should be rounded to the nearest cent. Sale price = $ 0.00 10.4_Analysis_of_Perspective.pdf which of the following statements about other-sex friendships is false? multiple choice they are almost always closer than same-sex friendships. they often contain some degree of sexual or physical attraction. according to one study, about half of college students engage in sexual behavior with their other-sex friends. they provide men a chance to be emotionally expressive and women a chance to engage in shared activities. (True/False) The Appalachian Mountains are not as tall as the Himalayas because Africa and North America did not collide with as much force as India and Asia. Devon shares his thoughts in narrated paragraphs and in a poemtwo different structures. What thoughts in his narration are emphasized most clearly in his poem ?(Bronx Masquerade ) which complications of intravenous (iv) therapy will the nurse document has occurred after observing a red streak and palpating a hard and cordlike vein at the iv site of a patient receiving cefepime? ccording to cognitive evaluation theory, _______ motivators are more powerful than _______ motivators. an organization that provides security services to client organizations, often remotely, including incident monitoring, response, and recovery is known as a I want all the Answer's to The Achieve article Roman Engineering Ingenuity the process of importing free dna from the environment into cells is called choose one: a. transcription. b. transduction. c. transformation. d. conjugation. In your own words, define Emotional Intelligence and apply it to guiding your staff to understand the importance of COVID-19 testing at your facility.