1. If it rains on Friday, then the game is postponed.
how do i write the problem in symbolic form?

Answers

Answer 1

Answer:

"if it rains on friday then the game is postponed"...

Step-by-step explanation:


Related Questions

Somebody help me.....

Somebody help me.....

Answers

Answer:

in my knowledge

26 , 31 , 36 , 41 , 46

rule:5

cause 26+5=31

31+5=36

36+5=41

41+5=46 and so on...

A softball team has 20 players. How many 9 player batting orders are possible?

Answers

There are 184,756 possible 9 player batting orders for a softball team with 20 players.

The formula to calculate the combination number of possible batting orders for a team with n players is n!/(n-r)! where n = the total number of players, and r = the number of players in the batting order. Therefore, for a softball team with 20 players, the number of possible 9 player batting orders is 20!/(20-9)! = 184,756.

20! = 20 × 19 × 18 × 17 × 16 × 15 × 14 × 13 × 12 × 11 × 10 × 9 × 8 × 7 × 6 × 5 × 4 × 3 × 2 × 1

(20-9)! = (20 - 9) × (19 - 9) × (18 - 9) × (17 - 9) × (16 - 9) × (15 - 9) × (14 - 9) × (13 - 9) × (12 - 9) × (11 - 9) × (10 - 9) × (9 - 9)

20!/(20-9)! = 184,756

Therefore, there are 184,756 possible 9 player batting orders for a softball team with 20 players.

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how to rewrite the function in a different form (factored or vertex) where the answer appears as a number in the equation.

Answers

We can convert the equation of the line in vector form by imposing i cap ,j cap and k cap with direction ratios.

The movement of an object from one place to another is described using vectors. Vectors can be represented as points in a coordinate system in the cartesian system. Similar to this, a "n" tuple can be used to represent vectors with "n" dimensions.

In physics, a vector is a quantity with both magnitude and direction. It is often represented by an arrow whose length is proportional to the magnitude of the quantity and whose direction is the same as that of the quantity. Simply subtract the starting point from the terminal point to determine the vector in component form given the initial and terminal points.

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The accompanying data resulted from an experiment in which weld diameter and shear strength (in pounds) were determined for five different spot welds on steel.Below are the data collected and the regression equation.Diameter Strength200.1 813.7210.1 785.3220.1 960.4230.1 1118.0240.0 1076.2Strength = -941.6992 + 8.5988*Diametera)The predicted y-hat value for a diameter of 201 is 864. Interpret this predicted value.b)what is the predicted strength of a weld with a diameter of 51?

Answers

The equation of the least-squares line when y is expressed in kilograms is y = 2114.20 + 18.96x.

What is the linear system?

A Linear system is a system in which the degree of the variable in the equation is one. It may contain one, two, or more two variables.

The accompanying data resulted from an experiment in which weld diameter x and shear strength y (in pounds) were determined for five different spot welds on steel. A scatterplot shows a pronounced linear pattern.

Given the least square regression model equation:

y hat = -959.00 + 8.60x

weld diameter x ; shear strength y (in pounds)

1 lb = 0.4536 kg

To express shear strength y in kilogram:

y is multiplied by 0.4536

(y hat × 0.4536) = -959.00 + 8.60x

Divide both sides by 0.4536

(y hat × 0.4536) / 0.4536= (-959.00 + 8.60x) / 0.4536

y hat = 2114.1975 + 18.959435x

y hat = 2114.20 + 18.96x

The equation of the least-squares line when y is expressed in kilograms is y = 2114.20 + 18.96x.

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Disclaimer

The question given by you is incomplete, the above answer is done as per a similar question

The accompanying data resulted from an experiment in which weld diameter x and shear strength y (in pounds) were determined for five different spot welds on steel. A scatterplot shows a pronounced linear pattern. The least-squares line is y hat = -959.00 + 8.60x. Because 1 lb = 0.4536 kg, strength observations can be re-expressed in kilograms through multiplication by this conversion factor: new y = 0.4536(old y). What is the equation of the least-squares line when y is expressed in kilograms? (Give the answer to two decimal places.)

John plays hockey 3 out of the 5 weekdays. How many possible schedules are there to play hockey on wednesday or monday or both?

Answers

5 days are possible Schedule are there to play hockey on Wednesday or Monday or both.

Let's solve the problem with the help of the Set theory.

Let Set A be the given days Bob only plays hockey.

Set A = { Tuesday, Wednesday, Friday}

Let Set B be the given days Ron only plays hockey.

Set B = { Thrusday, Sunday}

So, (Set A \cap Set B ) = 0 (Null Set) which denotes days in which both of them play together.

(Set A \cup Set B ) = { Tuesday, Wednesday, Thursday, Friday, Sunday} > which denotes days in each week at least one of them plays hockey.

Set theory is the branch of mathematical logic that studies sets, which can be informally described as sets of objects. All sorts of objects can be grouped into sets, but set theory as a branch of mathematics deals mainly with mathematics as a whole.

Set theory is the branch of mathematical logic that studies sets, which can be informally described as collections of objects. All sorts of objects can be grouped into sets, but set theory as a branch of mathematics deals mainly with mathematics as a whole.

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Student Council is selling candy grams. They are using the formula
y=2.5x to determine y, the profit earned, for x candy grams. They have
to sell between 55 and 60 candy grams to meet their goal. Find the
domain and range of this situation.

Answers

Answer:

Our equation is:

y = f(x) = 2.5*x

The domain is the set of the values of x.

The range is the set of the values of y.

They must sell between 55 and 60 candy grams to meet their goal.

If we assume these as restrictions for the domain, then the minimum value of x is 55, and the maximum value of x is 60.

Then the domain is:

D: 55 ≤ x ≤ 60.

Now that we know the domain, we can find the range.

As our equation is linear with a positive coefficient, the minimum in the range will coincide with the minimum in the domain, then we have:

y = 2.5*55 = 137.5

And the maximum will coincide with the maximum in the domain:

y = 2.5*60 = 150.

Then the range is:

y = 137.5 ≤ y ≤ 150

Type in you calculator 100000000000000000000000000000 divided by 3000000000000000000000000 what do you get

Answers

Answer:

300

Step-by-step explanation:

For his exercise today, bill plans to run and swim some laps. The table below shows how long ( in minutes) it takes him to run each lap and swim to each lap

Answers

The inequality describing this problem is given as follows:

4r + 2s > 30.

How to define the inequality?

The variables for this problem are given as follows:

Variable r: number of laps run.Variable s: number of laps swam.

Bill will practice for more than 30 minutes, hence the inequality is given as follows:

4r + 2s > 30.

(the sign > is used as the sign is the more than symbol in inequality).

As we have more than and not at least in the sentence, the symbol used does not contain the equal sign, meaning that the interval is open.

Missing Information

The problem is given by the image presented at the end of the answer.

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For his exercise today, bill plans to run and swim some laps. The table below shows how long ( in minutes)


I already answered number 1 and 3 I just need 2 4 and 5 that’s it I’ll mark you brilliant AND GIVE EXTRA POINTS!!!
1.How do you know you have a direct variation in the relationship between two quantities?
The ratio.

2.What is constant of proportionality?


3.In a graph where two quantities have a direct variation, what of the line is the constant of proportionality, the constant of variation, the rate of change?
The relationship between two quantities


4.The height of the water in a pool is proportional to the minutes it takes for the pool to fill up. If the height of the water is 2 inches after 5 minutes, what is the constant of proportionality/constant of variation in this situation?



5.Pizzas cost $8 each plus $3 delivery charge as it .


in the table below:
Number of Pizzas 1 2 3 4
Cost $11 $19 $27 $35

Is there a direct variation?
What is the rate of change/slope?

Answers

Answer:

the 2:The constant of proportionality is the ratio between two directly proportional quantities. Two quantities are directly proportional when they increase and decrease at the same rate. 3

Step-by-step explanation:

40 to 8

Each pizza costs $8 and the delivery fee is $3.

25799645 x 093324777558&76

Answers

what happend to u other acc?

Step-by-step explanation:

Answer:

2.4077461e+20

Step-by-step explanation:

thats what goolge calcualtior said. Plz mark me the brainlist

What is the duration of the compression event? Use the following information • Intake valve opens 8 degrees BTDC • Intake valve closes 50 degrees ABDC • Exhaust valve opens 50 degrees BBDC • Exhaust valve closes 8 degrees ATDC 130 180 150​

Answers

The duration of the compression event is  100 degrees of crankshaft rotation by using the number of degrees of crankshaft rotation between the point where the intake valve closes (IVC) and the point where the exhaust valve opens (EVO).

To determine the duration of the compression event, we need to find the number of degrees of crankshaft rotation between the point where the intake valve closes (IVC) and the point where the exhaust valve opens (EVO).

Intake valve opens (IVO) at 8 degrees before top dead center (BTDC)

Intake valve closes (IVC) at 50 degrees after bottom dead center (ABDC)

Exhaust valve opens (EVO) at 50 degrees before bottom dead center (BBDC)

Exhaust valve closes (EVC) at 8 degrees after top dead center (ATDC)

First, we need to determine the position of the piston at each of these valve events. We know that the stroke of the engine is 180 degrees, so we can use this information to calculate the position of the piston at each event:

IVO: piston is at 8 degrees BTDC

IVC: piston is at 180 - 50 = 130 degrees ATDC

EVO: piston is at 180 + 50 = 230 degrees ATDC

EVC: piston is at 360 - 8 = 352 degrees BTDC

To find the duration of the compression event, we need to calculate the number of degrees of crankshaft rotation between IVC and EVO. We can do this by subtracting the position of the piston at IVC from the position of the piston at EVO:

Duration of compression event = EVO - IVC

= 230 - 130

= 100 degrees

Therefore, the duration of the compression event is 100 degrees of crankshaft rotation.

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please answer this:
3n + 2 = 17

Answers

n=5. Because you subtract 2 from each side. Then you divide 3 on both sides.
The answer is n=5
This is because n is asking 3 times what equals 15. And 3x5=15
3(5)+2=17
15+2=17
17=17
This answer is true
Hope this helps have a good day!! :)))

Consider the linear program: Maximize z=−3x1+6x2, subject to: 5x1+7x2≤35
−x1+2x2≤2
x1≥0, x2≥0.

a) Solve this problem by the simplex method. Are there alternative optimal solutions? How can this be determined at the final simplex iteration? b) Solve the problem graphically to verify your answer to part (a).

Answers

Using the simplex method, the optimal solution for the given linear program is z = 14, with x1 = 0 and x2 = 5. There are no alternative optimal solutions.

To solve the linear program using the simplex method, we start by converting the problem into standard form with all constraints in the form of inequalities and non-negative variables. The initial tableau for the problem is as follows:

 |   x1  |   x2  |   s1   |   s2   |   b   |

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

z |  -3   |   6   |   0    |   0    |   0   |

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

s1|   5   |   7   |   1    |   0    |   35  |

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

s2|  -1   |   2   |   0    |   1    |   2   |

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

Next, we perform the simplex iterations to improve the objective function value. After performing the necessary row operations, we arrive at the final tableau:

 |   x1  |   x2  |   s1   |   s2   |   b   |

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

z |   0   |   1   |  3/2   |  -1/2  |   14  |

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

s1|   0   |   0   |   4    |   3    |   5   |

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

s2|   1   |   0   |  -1/2  |   5/2  |   3   |

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

From the final tableau, we can see that the optimal solution is z = 14, with x1 = 0 and x2 = 5. The decision variable x1 is at its lower bound, indicating that it is non-basic. Therefore, there are no alternative optimal solutions in this case.

In summary, the optimal solution for the given linear program is z = 14, with x1 = 0 and x2 = 5. There are no alternative optimal solutions.

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Is 6 a solution to the equation x^2 - 4 = 5x? Please tell me why or why not

Answers

Answer:

6 is not a solution to the given equation.

Step-by-step explanation:

We are given the equation \(x^2-4=5x\)

We need to know whether or not x=6 is a solution. This means that we should substitute in 6 for each instance of x. Then, if both sides of the equation are equal, then 6 is a solution to the equation.

\(x^2-4=5x\\\\(6)^2-4=5(6)\\\\36-4=30\\\\32=30\)

As 32 ≠ 30, 6 is not a solution to the given equation.

A square measures 6r centimeters on each side. Which monomial represents the area of the square?

Option 1: (6r)cm^2
Option 2: (6r^2)cm^2
Option 3: (36r)cm^2
Option 4: (36r^2)cm^2

Answers

Answer:

Option 4

Step-by-step explanation:

So we know that the area of a square is found by s^2. This means that we can just look for (6r)^2, since 6r is our side length! Let's see...We know that (6r)^2 is equal to 6^2 times r^2 because of the distributive property of exponents. Therefore, option 4 is our right answer. 36 is 6^2 and r^2 is r^2.

two mechanics worked on a car. The first mechanic worked for 10 hours, and the second mechanic worked for 5 hours. Together they charged a total of $1600. what are the rate charged per hour by each mechanic. if the sum of the two rates are $215 per hour.

Answers

Let's make,
mechanic #1's rate = x
mechanic #2's rate = y

* Their rate is dollars per hour ($/hr)

mechanic #1 worked for 20 hours (hr × $/hr = $)
20x = money earned by mech#1

and mechanic #2 worked for 5 hours
5y = money earned by mech#2

together they charged a total of $1150. So the amount of money earned by both mechanics.

20x + 5y = 1150

the sum of the two rates was $95 per hour.

x + y = 95

which means
x = 95 - y

plug (95 - y) in for "x" in the other equation to get everything in terms of one variable.

20(95 - y) + 5y = 1150

solve for y

1900 - 20y + 5y = 1150
1900 - 15y = 1150
-15y = 1150 - 1900
-15y = -750
y = -750/-15
y = 50 $/hr

Now use this to solve for x

x + y = 95
x + 50 = 95
x = 95 - 50
x = 45 $/hr

mech#1 charged 45$/hr
mech #2 charged 50$/hr

The rate charged per hour by the first mechanic = $105,

And the rate charged per hour by the second mechanic = $110.

Use the concept of ratio defined as:

A ratio indicates how many times one number contains another number. The ratio of two numbers is written as x: y, which is equivalent to x/y.

Where x and y are individual amounts of two quantities.

And, the Total quantity gives after combining as x + y.

Given that,

Two mechanics worked on a car.

The first mechanic worked for 10 hours.

The second mechanic worked for 5 hours.

Together, they charged a total of $1600.

The sum of the two rates charged per hour is $215.

Assume that,

The rate charged per hour by the first mechanic is = x dollars,

The rate charged per hour by the second mechanic is = y dollars.

The first mechanic worked for 10 hours,

The total amount earned by the first mechanic would be 10 times their hourly rate = 10x dollars.

Similarly,

The second mechanic worked for 5 hours,

The total amount earned by the second mechanic would be 5 times their hourly rate =  5y dollars.

Set up two equations based on the given information:

The first equation is the sum of the two rates, which is,

x + y = 215  ......(i)

The second equation is the total amount earned by both mechanics,

10x + 5y = 1600  .....(ii)

Use substitution to find the values of x and y:

From the first equation, we can express x in terms of y as,

x = 215 - y

Substitute this value of x into the second equation:

10(215 - y) + 5y = 1600

Expanding the equation, we get,

2150 - 10y + 5y = 1600

Combining like terms, we have:

-5y = 1600 - 2150

-5y = -550

Dividing both sides of the equation by -5, we get:

y = 110

Now that we have the value of y,

Substitute it back into the first equation to find x:

x + 110 = 215

Subtract 110 from both sides, and we get:

x = 105

Hence,

The rate charged per hour by the first mechanic is $105, &  the rate charged per hour by the second mechanic is $110.

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W
Which inequality represents this problem?
• Jerry has $30 in his savings account, and he deposits $6 each month.
• Amber has $80 in her savings account, and she does not make any
additional deposits or withdrawals.
After how many months, m, will Jerry have more money in his account than
Amber?
OA. 80> 30 + 6m
OB. 30+6m> 80 + 6m
OC. 6+30m> 80
OD. 30+ 6m> 80

Answers

I’d say 6 plus 30 mg 80

Which graph represents the function f(x) = -3 -2?

Which graph represents the function f(x) = -3 -2?

Answers

The fourth graph represents the functions f(x)=-3ˣ-2

We can plug in the y intercept to find which graph has the correct one.

x = 0 is y intercept

Thus function f(0)=-3⁰-2

f(0)=-1-2

f(0)=-3

At this point we known the y intercept is -3 so both graph in the left is considerable.

Notice that the base is the negative, thus the graph would goes down. Therefore the bottom right would be correct.

Hence, the fourth graph represents the functions f(x)=-3ˣ-2

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3.1) Determine whether the given line and the given plane are parallel: (a) x=1+t,y=−1−t,z=−2t and x+2y+3z−9=0, (b) <0,1,2>+t<3,2,−1> and 4x−y+2z+1=0.

Answers

To determine if a line and plane are parallel, verify if the line's direction vector is orthogonal to the plane's normal vector. If parallel, the line lies on the plane, if perpendicular, and skews to the plane. If neither is true, the line is skew to the plane.

(a) To determine whether the given line and the given plane are parallel or not, we need to verify if the direction vector of the line is orthogonal to the normal vector of the plane. If the direction vector of the line is parallel to the plane,

then the line lies on the plane. If the direction vector of the line is orthogonal to the plane, then the line is perpendicular to the plane. If neither of these is true, then the line is skew to the plane.The direction vector of the given line is (1,-1,-2), and the normal vector of the plane x+2y+3z-9=0 is (1,2,3). To check whether the direction vector of the line is orthogonal to the normal vector of the plane, we compute their dot product.

So, we have: (1,-1,-2)·(1,2,3)=1-2-6=-7As the dot product of the direction vector of the line and the normal vector of the plane is not equal to 0, the line is not parallel to the plane.

Therefore, the line and plane are not parallel.(b) To determine whether the given line and the given plane are parallel or not, we need to verify if the direction vector of the line is orthogonal to the normal vector of the plane. If the direction vector of the line is parallel to the plane, then the line lies on the plane. If the direction vector of the line is orthogonal to the plane,

then the line is perpendicular to the plane. If neither of these is true, then the line is skew to the plane.The direction vector of the given line is (3,2,-1), and the normal vector of the plane 4x-y+2z+1=0 is (4,-1,2). To check whether the direction vector of the line is orthogonal to the normal vector of the plane, we compute their dot product. So, we have: (3,2,-1)·(4,-1,2)=12-2-2=8As the dot product of the direction vector of the line and the normal vector of the plane is not equal to 0, the line is not parallel to the plane. Therefore, the line and plane are not parallel.

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100 points pls help


Find the summation formula for the given series:

(a) 1 + 3 + 5 + 7

(b) 1/2 + 1/3 + 1/4 + ... + 1/50

Answers

(a) Therefore, the summation formula for the series 1 + 3 + 5 + 7 is n^2. (b) where Hn is the nth harmonic number.

(a) The given series is an arithmetic series with a common difference of 2. We can use the formula for the sum of the first n terms of an arithmetic series to find the summation formula:
Sn = (n/2)(a1 + an)
where Sn is the sum of the first n terms, a1 is the first term, and an is the nth term.
In this case, a1 = 1 and an = 1 + (n-1)2 = 2n-1. Substituting these values into the formula, we get:
Sn = (n/2)(1 + 2n - 1)
  = (n/2)(2n)
  = n^2
(b) The given series is a harmonic series with terms of the form 1/n. We can use the formula for the sum of the first n terms of a harmonic series to find the summation formula:
Sn = 1/1 + 1/2 + 1/3 + ... + 1/n
Sn = Hn
However, there is no closed-form expression for Hn, so we cannot write a simple formula for the sum of this series.
We can approximate the sum using the formula for the harmonic series divergent sum:
Sn ≈ ln(n) + γ
where γ is the Euler-Mascheroni constant (approximately 0.5772). Using this approximation, we can write the summation formula for the series as:
Sn ≈ ln(n) + γ

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One of the tallest dog breeds is the great dane which stands over a meter tall. one of the shortest is the pomeranian which stands about 20 cm tall. how were these two developed ?

Answers

The Great Dane and Pomeranian dog breeds were developed through selective breeding and distinct historical contexts.

The Great Dane, known for its impressive size, was bred by crossing English Mastiffs with Irish Wolfhounds in Germany during the 16th century. The intention was to create a breed suitable for hunting boars and deer. Over time, the breed's size was refined, resulting in the majestic and towering Great Dane we know today. On the other hand, the Pomeranian, originating from the Pomerania region in Europe, was selectively bred from larger sled-pulling and herding dogs to produce smaller and more companion-oriented canines.

Through generations of breeding, the Pomeranian's size was gradually reduced to its current diminutive stature.

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Which scatterplot shows a linear association?

Which scatterplot shows a linear association?

Answers

A linear association is when the shape of the scatter plot is a straight line.

Therefore, the answer would be C, as you had it, because it is showing the data in a straight line.

Answer:

C

Step-by-step explanation:

Which paper folding method can be used to form parallel lines?

Which paper folding method can be used to form parallel lines?

Answers

Answer:

Option: A is the correct answer A.

Begin with a line segment on the paper and fold the paper so that the segment's endpoints lie on top of each other.

Step-by-step explanation:

We know that a perpendicular line segment is formed with the help of paper folding in following steps: Draw a line segment on a paper. Fold the paper so that the endpoints of the line segment are on each other. The crease that is formed on the paper and pass through the line segment is the perpendicular line to the given line segment. The point on the line segment is the mid point of the line segment. Hence, option: A is the correct answer.

Option: B is the correct answer i.e. "Begin with a line segment on the paper and fold the paper so that the segment's endpoints lie on top of each other."

Concept:Here, we need to find the steps of paper folding so that we can get two parallel lines on the sheet of paper.

How to solve the given question?Draw a line segment.Fold the paper so that the segment's endpoints lie on top of each other.This ensures that we get two line segments parallel to each other.

Thus, Option: B is the correct answer i.e. "Begin with a line segment on the paper and fold the paper so that the segment's endpoints lie on top of each other."

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A store sells AA batteries in packages of 10 batteries. They also sell boxes of 10 packages, cases of 10 boxes, and cartons of 10 cases. How many AA batteries are in one case? One carton? 10 cartons?


Solve these problems any way you choose.

Answers

1) 1000 AA Batteries in one Case.

2) 10,000 AA Batteries in One carton.

3) 100,000 AA Batteries in 10 cartons.

What is Multiplication?

To multiply means to add a number to itself a particular number of times. Multiplication can be viewed as a process of repeated addition.

We have to given that;

The Store sells AA batteries in the order below:

⇒ 10 batteries in 1 packages

⇒ 10 packages in 1 box

⇒ 10 boxes in 1 case

⇒ 10 cases in 1 Carton

1) We want to determine how many AA batteries are in 1 Case;

Using Multiplication

Number of AA Batteries in 1 Case = 10 Batteries × 10 package × 10 box

                                                    = 1000 AA Batteries

2) We want to determine how many AA batteries are in 1 Carton;

From Part (a),

There are 1000 AA Batteries in 1 Case.

Since, There are 10 Cases in 1 carton.

Number of Batteries in 1 carton = 10 × 1000

                                                = 10,000 AA Batteries

3) 10 Cartons

⇒ 1 carton = 10000 AA Batteries

Therefore, We get;

⇒ 10 Cartons = 10 × 10000

                     = 100,000 AA Batteries

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Maris purchased a building for £10 m on 1 January 2020 and rented it out to an unassociated company. At 31 December 2020 it is estimated that the building could be sold for £10.8 m, with selling costs of £200,000. If Maris uses the fair value model, which of these statements concerning the fair value exercise for the year ended 31 December 2020 is true?
a. Gain of £600,000 to Statement of Profit or loss
b. Gain of £600,000 to Revaluation surplus and OCl
c. Gain of £800,000 to Statement of Profit or loss
d. Gain of £800,000 to Revaluation surplus and OCl

Answers

The correct answer is: c. Gain of £800,000 to Statement of Profit or loss.

Since Maris uses the fair value model, the gain from the increase in the fair value of the building is recognized in the Statement of Profit or Loss. In this case, the building's fair value increased from £10 million to £10.8 million, resulting in a gain of £800,000. Therefore, the gain of £800,000 should be recognized in the Statement of Profit or Loss.According to the fair value model, any gain or loss resulting from the change in fair value of the asset should be recognized in the financial statements. In this case, the increase in the fair value of the building is considered a gain.

Since the gain of £800,000 (the difference between the fair value of £10.8 million and the original purchase price of £10 million) is a result of the change in the asset's fair value, it should be recognized in the Statement of Profit or Loss. This gain represents the increase in the value of the building during the year.

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Set up, but do not evaluate, an integral for the volume of the solid obtained by rotating the region bounded by the given curves about the specified line. y=x², y4, x=0; about the x-axis dy Need Help

Answers

The volume of the solid is π4 cubic units.

The region bounded by the curves y = x², y = 4, and x = 0 is rotated about the x-axis. We need to set up an integral for the volume of the solid obtained by rotating the region bounded by the given curves about the specified line.

The solid of revolution obtained by rotating the region bounded by the curves y = x², y = 4, and x = 0 about the x-axis is shown below: Solid of Revolution

We can obtain the volume of the solid using the method of cylindrical shells, as follows: We can see that the curves intersect at x = 2.

Therefore, the limits of integration are 0 and 2.

The radius of each shell is x, and its height is 4 - x².

Therefore, the volume of each shell is given by:

dV = 2πx(4 - x²)dx

The volume of the solid is given by the integral of dV over the limits of integration, as follows:

V = ∫₀² 2πx(4 - x²)dxV

= 2π ∫₀² (4x - x³)dxV

= 2π [2x² - (x⁴/4)]|₀²V

= 2π (8/4 - 16/4)V

= - 2π (4/4)V

= -π4

Therefore, the volume of the solid is π4 cubic units.

Note: The negative sign in the answer indicates that the solid is below the x-axis.

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let g be an undirected graph whose vertices are the integers 1 through 8, and let the adjacent vertices of each vertex be given by the table below:

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In the given graph G, the vertices are represented by the integers 1 through 8. An undirected graph is a mathematical structure where vertices are connected by edges that have no specific direction. The connectivity of the graph is determined by the adjacent vertices of each vertex.

To understand the connectivity of the graph, we can refer to the table below:

Vertex | Adjacent Vertices

-------|-----------------

1      | 2, 3, 4

2      | 1, 3, 4

3      | 1, 2, 4, 5

4      | 1, 2, 3, 6

5      | 3, 6, 7

6      | 4, 5, 8

7      | 5, 8

8      | 6, 7

From the table, we can observe that each vertex is connected to other vertices based on the adjacent vertices listed. For example, vertex 1 is adjacent to vertices 2, 3, and 4. Similarly, vertex 2 is adjacent to vertices 1, 3, and 4. This pattern continues for all the vertices.

The graph G can be visualized as a network of interconnected points, where each point represents a vertex, and the connections between them represent the edges. The connectivity of the graph provides information about how the vertices are related to each other and how they can be reached from one another.

Understanding the structure and connectivity of a graph is essential in various fields, such as computer science, network analysis, and data visualization. Graph theory, the branch of mathematics that deals with graphs, provides a powerful framework for analyzing and solving problems related to connectivity and relationships in various systems.

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Solve the equation C^2 =4

Answers

Answer:

2

Step-by-step explanation:

Hey there!

The equation is asking us, c x c = 4

What is c?

Well the only number that is equal to 4 when you square it is 2

factorise: x²-2x²-x+2

Answers

Answer:

-1(x+1)(x-1)

Step-by-step explanation:

x²-2x²-x+2

Solve like terms

-x²-x+2

Taking -1 common

-1(x²+x-2)

Doing middle term factorization

-1(x²+(2-1)x-2)

-1(x²+2x-x-2)

-1(x(x+2)-1(x+2))

-1(x+2)(x-1)

Therefore, Factorization form is -1(x+1)(x-1)

Answer and Step-by-step explanation:

To factorize the expression x²-2x²-x+2, let's group the terms:

x² - 2x² - x + 2

Rearranging the terms, we get:

-2x² + x² + 2 - x

Combining like terms, we have:

(-2x² + x²) + (2 - x)

Simplifying further, we get:

-x² + 2 - x

Now, let's factorize the expression:

We can factor out a common negative sign from the first two terms:

-1(x² - 2) - x

Now, we can factor out a common negative sign from the last two terms:

-1(x² - 2) + (-1)(x)

Finally, we can factor out a common binomial factor from both terms:

(x² - 2) + (-1)(x)

Therefore, the factored form of the expression x²-2x²-x+2 is:

(x² - 2) - x

In conclusion, the factored form of the expression is (x² - 2) - x.

Select all that apply.

Which of the following name a line segment in the drawing?

Select all that apply.Which of the following name a line segment in the drawing?

Answers

I think it would be ef because they are across from each other.

Answer:

lineAF, CE, EF

Step-by-step explanation:

Every line except AB, because a line don't curve.

Hope u understood.

Please mark as brainliest

Thank You

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