5. a compound proposition is satisfiable if there is an assignment of truth values to the variables in the proposition that makes the compound proposition true. is the following compound propositions is satisfiable? ( p ν q ν ¬r) λ ( p ν ¬q ν ¬s) λ ( p ν ¬r ν ¬s) λ (¬p ν ¬q ν ¬s) λ ( p ν q ν ¬s)

Answer:

I can't really see because it's blurry but if you're solving for x then...

x=13

Step-by-step explanation:

77+90+x=180

167+x=180

-167 -167

x=13

Answer:

x = 13 The points you gave are enough.

Step-by-step explanation:

FGD and 77 are complementary    Added together they equal 90 degrees.

<FGD = 90 - 77

<FGD = 13

<FGD and x are vertically opposite angles.

Vertically opposite angles are equal.

x = 13

The phrase "He went to get milk but never came back" is often used as a humorous way to explain someone's absence or to imply that someone is unreliable or untrustworthy.

The phrase likely originates from a common experience where a child's parent, often their father, promises to go out to get something, like milk, but never returns. This can be a source of disappointment and confusion for the child, and the phrase has since been used in a joking manner to explain someone's failure to show up or fulfill a promise.

However, it is important to recognize that this experience can also be a source of trauma and should not be used to make light of someone's pain or loss.

To know more about Milk:

https://brainly.com/question/15601108

#SPJ4

Answer:

If it is a division problem, then it is 11.

If it is a multiplication problem then it is 1100.

But it looks like division, so probably 11.

Answer:

011

Step-by-step explanation:

         0 1 1

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

1 /

          0 1 1 0

 − 0    

   1 1  

 − 1 0  

     1 0

   − 1 0

       0

The Markup percentage based on cost if the wholesaler paid $780 for the guitar is 79%

Given,

The cost price of the guitar = $780

The selling price of the guitar = $1396.20

We have to find the markup percent based on the cost;

Markup percentage;

The gross profit of a unit, which is its sales price less its cost to produce or acquire for resale, is divided by the unit's cost to determine the markup %.

Markup percent = (Selling price - cost price) / cost price x 100

= (1396.20 - 780) / 780 x 100

= 616.20 / 780 x 100

= 0.79 x 100

= 79%

That is,

The Markup percentage based on cost if the wholesaler paid $780 for the guitar is 79%

Learn more about Markup percentage here;

https://brainly.com/question/28292278

#SPJ1

Answer:

group)yes;c DETER#4.930

Step-by-step explanation:

The values of c for which y = C is a constant solution of y' = y² + 5y - 6 are 1 and -6.

Option d is the correct answer.

To find out the constant solutions of the equation (1), we need to first solve it. Let's solve equation (1) using separation of variables.

Separating variables in equation (1), we get:

dy / dx = y² + 5y - 6Now, multiplying both sides by dx, we get:

dy = (y² + 5y - 6) dxIntegrating both sides, we get:

∫ dy = ∫ (y² + 5y - 6) dxy = (y³ / 3) + (5y² / 2) - 6y + C1... (2)

where C1 is the constant of integration.

We can see that equation (2) is not in the form of y = f(x), which means we can't use it to find the values of c for which y = c is a constant solution of equation (1).

To convert equation (2) into the required form, we need to first simplify it.

Let's do that.Simplifying equation (2), we get:

y (y² + 5y - 12 / 3) + C1y (y² + 5y - 12) / 3 + C1

Now, for y = c to be a constant solution of equation (1), we have:

y (y² + 5y - 12) / 3 + C1 = c

Multiplying both sides by 3, we get:

y (y² + 5y - 12) + 3C1 = 3c

Rearranging, we get:y³ + 5y² - 12y - 3c + 3C1 = 0

Now, if y = c is a constant solution of equation (1), it means that equation (1) should be equal to 0.

So, we have:

y' = 0

On substituting y = c in equation (1), we get:(dy / dx) = c² + 5c - 6= 0

Solving the above equation, we get:

c = 1 and -6

Learn more about equation at

https://brainly.com/question/17351012

#SPJ11

Answer:

f (x,y) = sin (x,y)  & points = (1,0)

Maximum  rate of change in f at given point & direction = 1

Step-by-step explanation:

The function & points are not given,

Considering them as general example : f (x,y) = sin (x,y) & points = (1,0)

Maximum rate of change in f (x,y) happens in direction of ∇ f (1,0)

∇  f (x,y) =  [ df / dx ,  df/ dy ]

= [ y cos (xy) , x cos (xy) ]

∇ f (1,0)  = [ 0, cos (0) ] = (0,1)

Magnitude at (1,0) = ∇ f (1,0)  = √ 0^2 + 1^2  = 1

Answer:

X = 25

Step-by-step explanation:

here DGF is a right angled triangle so we can use Pythagoras theorem in it so

let us consider DF = x as hypotenuse (h)

GF =24 as base (b)

DG=7 as perpendicular (p)

Now applying Pythagoras theorem we get

h² = p² + b²

x² = 7²+24²

x = √625

x = 25

hope it helps. :)

a) The future value of the ordinary annuity is $19,144.99.

b) The future value of the ordinary annuity is $48,956.03.

c) The present value of the ordinary annuity is $13,384.15.

d) Robin will have $488,215.78 in the account after 30 years.

a) To find the future value of the ordinary annuity for the first scenario, we use the formula:

FV = P * [(1 + r/n)^(n*t) - 1] / (r/n)

Where:

FV = Future Value

P = Payment per period

r = Annual interest rate

n = Number of compounding periods per year

t = Number of years

Plugging in the given values: P = $1100, r = 0.08 (8%/year), n = 2 (semiannual compounding), t = 9 years, we calculate FV = $19,144.99.

b) For the second scenario, we use the same formula:

FV = P * [(1 + r/n)^(n*t) - 1] / (r/n)

Plugging in the given values: P = $110, r = 0.13 (13%/year), n = 12 (monthly compounding), t = 17 years, we calculate FV = $48,956.03.

c) To find the present value of the ordinary annuity, we use the formula:

PV = P * [1 - (1 + r/n)^(-n*t)] / (r/n)

Plugging in the given values: P = $3400, r = 0.12 (12%/year), n = 2 (semiannual compounding), t = 7 years, we calculate PV = $13,384.15.

d) For the final scenario, to find the future value of Robin's Keogh account, we can use the compound interest formula:

FV = P * (1 + r)^t

Plugging in the given values: P = $4500, r = 0.085 (8.5%/year), t = 30 years, we calculate FV = $488,215.78.

Therefore, after 30 years, Robin will have approximately $488,215.78 in his Keogh account.

Visit here to learn more about compound interest:

brainly.com/question/14295570

#SPJ11

Answer:

Step-by-step explanation:

And here is how to use it:

Example: simplify √12

12 is 4 times 3:

√12 = √(4 × 3)

Use the rule:

√(4 × 3) = √4 × √3

And the square root of 4 is 2:

√4 × √3 = 2√3

So √12 is simpler as 2√3

Another example:

Example: simplify √8

√8 = √(4×2) = √4 × √2 = 2√2

(Because the square root of 4 is 2)

And another:

Example: simplify √18

√18 = √(9 × 2) = √9 × √2 = 3√2

It often helps to factor the numbers (into prime numbers is best):

Example: simplify √6 × √15

First we can combine the two numbers:

√6 × √15 = √(6 × 15)

Then we factor them:

√(6 × 15) = √(2 × 3 × 3 × 5)

Then we see two 3s, and decide to "pull them out":

√(2 × 3 × 3 × 5) = √(3 × 3) × √(2 × 5) = 3√10

Fractions

There is a similar rule for fractions:

root a / root b  = root (a / b)

Example: simplify √30 / √10

First we can combine the two numbers:

√30 / √10 = √(30 / 10)

Then simplify:

√(30 / 10) = √3

Some Harder Examples

Example: simplify  

√20 × √5

√2

See if you can follow the steps:

√20 × √5

√2

√(2 × 2 × 5) × √5

√2

√2 × √2 × √5 × √5

√2

√2 × √5 × √5

√2 × 5

5√2

Example: simplify 2√12 + 9√3

First simplify 2√12:

2√12 = 2 × 2√3 = 4√3

Now both terms have √3, we can add them:

4√3 + 9√3 = (4+9)√3 = 13√3

An writing format called R Markdown (. Rmd) makes it simple to create dynamic documents, presentations, and reports with R.

It mixes R code chunks that are embedded and run so that their result can be included in the final document with the basic grammar of R markdown, a simple plain text format. The following are some benefits of utilizing R markdown: explicitly connects your data, R code, and output to produce a workflow that is completely reproducible. You can include ALL of the R code that was used to explore, summarize, and analyze your data in a single, simple-to-read document.

Learn more about R markdown here

https://brainly.com/question/29555402

#SPJ4

Answer:

D because it would most likely rise

The process of finding the derivative of a function is called differentiation.

Differentiation is a fundamental concept in calculus that involves determining the rate at which a function changes with respect to its independent variable. It allows us to analyze the behavior of functions, such as finding slopes of curves, identifying critical points, and understanding the shape of graphs.

The derivative of a function represents the instantaneous rate of change of the function at any given point. It provides information about the slope of the tangent line to the graph of the function at a specific point.

The notation used to represent the derivative of a function f(x) with respect to x is f'(x) or dy/dx. The derivative can be interpreted as the limit of the difference quotient as the interval approaches zero, representing the infinitesimal change in the function.

By applying differentiation techniques, such as the power rule, product rule, chain rule, and others, we can find the derivative of a wide range of functions. Differentiation is a powerful tool used in various areas of mathematics, physics, engineering, economics, and other fields to analyze and solve problems involving rates of change.

To learn more about differentiation

https://brainly.com/question/954654

#SPJ11

ANSWER:

150,000,000 kilometers = 93,205,678.8356 miles = 1.0027 au

STEP-BY-STEP EXPLANATION:

In order to determine the equivalence, we must know the conversion factor between the units of measure.

1 mile is equal to 1.60934 kilometers

1 astronomical unit is equal to 149597870.7 kilometers

Therefore:

Therefore:

150,000,000 kilometers = 93,205,678.8356 miles = 1.0027 au

The quantity of fencing that the gardener would need to purchase would be = 1 5/12.

The total quantity of fencing the gardener needs to fence the the square garden = 4⅔

The length of one side of the garden = 3¼

The quantity of fencing the gardener needs to purchase would be = x

4⅔ = 3¼ + X

14/3 = 13/4 + X

X = 14/3 -13/4

X =56-39 /12

X= 17/12

X = 1 5/12ft.

Learn more about square here:

https://brainly.com/question/25092270

#SPJ1

The four-sided geometric object known as a tetrahedron (WXYZ) has four triangle faces that are joined to one another at their edges. Its vertices are all linked, and its faces are all equilateral triangles.

The three-dimensional geometric structure known as a tetrahedron (WXYZ) has four triangle-shaped faces. The edges of each of the tetrahedron's faces are joined to one another. All of the faces are triangular shapes with equal sides, or equilateral triangles. The tetrahedron is a solid shape because all of its vertices are joined together. The tetrahedron's four vertices are joined to one another, forming a pyramid-like shape. The tetrahedron's four vertices are the only points that do not form the triangle faces. The tetrahedron's four faces come together to produce a point in the middle of the shape. The apex of the tetrahedron is where this point is located. The faces of the tetrahedron are all congruent, or identical, as they are a regular polyhedron.

Learn more about triangle here

https://brainly.com/question/2773823

#SPJ4

Answer:

y= -3/2x + 4

Step-by-step explanation:

hope this helps :)

Answer:

23) x ≤ 3

Step-by-step explanation:

15 - 5x ≤ - 2x + 6

-5x + 2x ≤ 6 - 15

-3x ≤ - 9

The required difference of the polynomial functions is -9s^2 + 4s - 2

Given the following difference of polynomial expressed as:

(–6s2 + 12s – 8) – (3s2 + 8s – 6)

We are to find the difference

(–6s2 + 12s – 8) – (3s2 + 8s – 6)

Expand

–6s^2 + 12s – 8 - 3s^2 - 8s + 6

Collect the like terms

–6s^2- 3s^2 + 12s - 8s - 8 + 6

-9s^2 + 4s - 2

Hence the required difference of the polynomial functions is -9s^2 + 4s - 2

Learn more about of function here

brainly.com/question/3412347

#SPJ4

complete question

Find each difference.

(–6s2 + 12s – 8) – (3s2 + 8s – 6) =

–9s2 + 4s – 14

–9s2 + 4s – 2

–9s2 + 20s – 14

–9s2 + 20s – 2

The value of SSE (sum squared error) is 40 in the given analysis of the variance problem if SST = 120 and SSR = 80. Option b is correct.

Here the words SSE means Sum Squared Error, SST means Sum of Squares Total and SSR means Sum of Square Regression.

In the SSE accuracy measure, errors are squared and then added. It is used when the data points are similar in magnitude.

The formula is SST = SSR + SSE ⇒ SSE = SST - SSR

The given values of the analysis of the variance problem are

SST = 120; SSR = 80

Then, the value of SSE = SST - SSR = 120 - 80 = 40

So, option b is correct.

Learn more about the sum squared error here:

https://brainly.com/question/28046641

#SPJ1

The total number of seats in the Auditorium is 92, according to mathematical operations.

indicates a mathematical operation similar to the superposition principle in which the action on the product of two functions is equal to the product of the actions of the operation on each function (e.g., differentiation, multiplication by a constant).

So, we know that:

1st row = 20 seats

2nd row = 22 seats

3rd row = 24 seats

4th row = 26 seats

The total number of seats in all:

20 + 22 + 24 + 26

92

Therefore, the total number of seats in the Auditorium is 92, according to mathematical operations.

Know more about mathematical operations here:

brainly.com/question/28937023

#SPJ4

Complete question:

An auditorium contains 40 rows of seats. The first row has 20 seats, the second row has 22 seats and the third row has 24 seats and the fourth row consists of 26 seats. how many seats does the auditorium contain in all?

Answer:

a) X + 2x = 36

Step-by-step explanation:

A) x refers to Kim's sister age

B) x = 12

When Kim is 24,his sister is 12

The coordinates (4, 15) tell us about the position of the runner on a coordinate plane, but they do not provide any information about the time the runner was at that position.

To determine information about the runner's time, additional data would be required.

A coordinate plane is a two-dimensional plane consisting of two perpendicular axes that are labeled with coordinates. These coordinates are written as (x, y), where x represents the horizontal position of a point and y represents the vertical position of the point.

The point (4, 15) represents a point that is located 4 units to the right of the origin (x-axis) and 15 units up from the origin (y-axis).

However, this coordinate alone cannot provide information about the time the runner was at that position. Additional data, such as the time the runner arrived at or departed from that position, would be needed to determine information about the runner's time.

Thus, the coordinates (4, 15) tell us about the position of the runner on a coordinate plane, but they do not provide any information about the time the runner was at that position. To determine information about the runner's time, additional data would be required.

Learn more about coordinates from the given link:

https://brainly.com/question/17206319

#SPJ11

The three major chords built on white notes without accidentals are:

1. C major chord (C, E, G)

2. F major chord (F, A, C)

3. G major chord (G, B, D)

These chords are formed by taking the root note, skipping one white note, and adding the next white note on top. For example, in the C major chord, the notes C, E, and G are played together to create a harmonious sound.

Similarly, the F major chord is formed by playing F, A, and C, and the G major chord is formed by playing G, B, and D. These three major chords are commonly used in various musical compositions and are fundamental building blocks in music theory.

To know more about musical chords, visit,

https://brainly.com/question/14936810

#SPJ4

Answer:

4,239,505

Step-by-step explanation:

847,901 x 5 = 4,239,505

Answer:

169.74+26.80

= 196.54

the correct decimal answer is 196.54

Pregunta completa:

Calcula el volumen de un prisma cuya base es un hexágono regular con un lado de 3 cm y un área lateral de 18√3 cm ^ 2.

Respuesta:

81/2 cm²

Explicación paso a paso:

El hexágono tiene 6 lados

Longitud de cada lado, L = 3 cm

Por lo tanto, perímetro = 3 * 6 = 18 cm

Área lateral, A = perímetro * altura

A = 18√3; P = 18

18√3 = 18 * h

h = 18√3 / 18

h = √3

Área base = perímetro * apotema / 2

Apotema = raíz cuadrada (3² - (3/2) ²)

Apotema = raíz cuadrada (9 - 9/4)

Apotema = (36 - 9) / 4 = raíz cuadrada (27/4) = √27 / 2

Área base = 18 * √27 / 4 = 9√27 / 2 = 9√9 * 3/2 = 27 / 2√3

Volumen = área de la base * altura

Volumen = 27 / 2√3 * √3

Volumen = 81/2 cm²

Answer:

  1.  P(x) = x^3 +4x^2 -27x -90

  2.  degree: 3; constant: -90

Step-by-step explanation:

1. You can multiply the factors 2 at a time using the distributive property.

  P(x) = (x +6)(x(x -5) +3(x -5)) = (x +6)(x^2 -5x +3x -15)

  = (x +6)(x^2 -2x -15) = x(x^2 -2x -15) +6(x^2 -2x -15)

  = x^3 -2x^2 -15x +6x^2 -12x -90

  P(x) = x^3 +4x^2 -27x -90

__

2. The degree is 3, the highest power. The constant term is the one without any variables: -90.

The maximum number of hours for which Maria can rent the boat is 4 hours

The rental cost of boat = $60

The amount that have to pay for a water safety course = $10

The maximum amount that she can spend on = $280

The inequality is the mathematical statement that shows the relationship between two expression with an inequality sign.

Consider the number of hours as x

Then the inequality will be

60x + 10 ≤ 280

60x ≤ 280 -10

60x ≤ 270

x ≤ 270/60

Divide the terms

x  ≤ 4.5

Therefore, she can ride maximum of 4 hours in boat

Learn more about inequality here

brainly.com/question/30231190

#SPJ4

Answer:

If the student is female then the probability that the student will participate is about 67%

If the student is male the probability that they participate is about 33%

Step-by-step explanation:

It is given that 48% of the students in the school are male. That means that the remaining students in this school are (for the sack of this problem) female out 100% of students. You would subtract 48% from 100% which is 52% which is the percentage of students in the school who are female.

From this point you need to find the percentage of students who would participated in the survey. To do that you would divide the number of the type of student who did the survey by the type of student in the school. For example for the male you would divide 16% from 48% or 16 ÷ 48 which would equal to the proposed of males who would participate which is about 33% of males. You would do the same math for finding the probability of females so it would be 35 ÷ 52 which is about 67% of females.

Even though the random student is more likely to be female the chances of the gender of the student is almost 50%/50% because if you round it to the nearest tenth it would be 50.