Which of the following is not a type of graph?EulerHamiltonianTreePath

Answers

Answer 1

Answer:

Step-by-step explanation:

Answer = D Explanation: If some closed walk in a graph contains all the edges then the walk is called Euler. 32) Which of the following is not a type of graph ? Answer = D Explanation:Path is a way from one node no another but not a graph.


Related Questions

A basketball team has a winning percentage of 62.5% after 8 games. How many games in a row must be won to raise the winning percentage to 75%?

Answers

Answer: 11

Step-by-step explanation: To raise the winning percentage to 75%, the team needs to win 3 more games out of 4, for a total of 3/4=75% of the games. Since the team has already won 8 games, they need to win 8+3=11 games in a row to raise the winning percentage to 75%

Write a linear function f(x) = mx + b for the table.

Answers

The linear function is  f(x) = 3x -5.

What is a function?

A relation between a collection of inputs and outputs is known as a function. A function is a connection between inputs in which each input is connected to precisely one output. Each function has a range, codomain, and domain.

Given linear function expression,

f(x) = mx + b

From the table,

x = -2

then, 1 = -2m +b       ......equation 1

Put x = 0

then, b = -5

Substitute the value of b to the equation 1, we get

m = 3

Finally, the function is f(x) = 3x -5

Therefore, the linear function is  f(x) = 3x -5

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Is (1,10) a solution to
y=7x+5
y=x+9
No or yea

Answers

Answer:

no

Step-by-step explanation:

we can test it

10=7(1)+5

10=7+5

10=12

not a solution

hopes this helps

a fast-food restaurant runs a promotion in which certain food items come with game pieces. according to the restaurant, 1 in 4 game pieces is a winner. if jeff keeps playing until he wins a prize, what is the probability that he has to play the game exactly 5 times?

Answers

The probability that Jeff has to play the game exactly 5 times i.e he keeps playing until he wins prize is (0.25)⁵.

We have, a fast-food restaurant runs a promotion which consists some food items with games pieces. 1 in 4 game pieces is a winner. This means, probability of winning game or sucess (p) = 1/4 . Since number of trials is fixed, trials are independent and probability of success is constant in each trial, we can use Binomial distribution. The Binomial distribution probability formula is

P(X= x) = ⁿCₓ(p)ˣ(1-p)⁽ⁿ⁻ˣ⁾

where,n --> number of trials

p --> probability of success

x --> number of times for a specific outcome within n trials

ⁿCₓ --> number of combinations

we have calculate the probability that he has to play the game exactly 5 times, i.e

x = 5 . Jeff keeps playing until he wins and he wins when he play exactly 5 times so,n= 5

Now, plugging all known values in above formula we get,

P(X= 5) = ⁵C₅(0.25)⁵(1-0.25)⁰

=> P(X= 5) = ⁵C₅(0.25)⁵(0.75)⁰

=> P(X= 5) = 1× (0.25)⁵× 1 = (0.25)⁵

Hence, required probability is (0.25)⁵

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A system of equations consists of a line s of the equation y = x – 5 and a line t that passes through the points (0, 2) and (8, –4). Answer the questions about line t to write the equation.

What is the slope of line t?

–0.75
What is the y-intercept of line t?

2
What is the equation in slope-intercept form of line t?

y = –0.75x + 2

Answers

The line 't' is y = -0.75x + 2 which has a slope of negative 0.75 and the y-intercept is 2.

What is a linear equation?

A connection between a number of variables results in a linear model when a graph is displayed. The variable will have a degree of one.

The linear equation is given as,

y = mx + c

Where m is the slope of the line and c is the y-intercept of the line.

The line t that passes through the points (0, 2) and (8, -4) is given as,

(y - 2) = [(- 6 - 2) / (8 - 0)](x - 0)

y - 2 = - 0.75x + 0

y = -0.75x + 2

The line 't' is y = -0.75x + 2 which has a slope of negative 0.75 and the y-intercept is 2.

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Answer the questions about the following polynomial..... please help!

Answers

Answer:

x⁵ - 1/3x² -1

Step-by-step explanation:

In order to write polynomials in standard form:

1) Find the degree (power) of each term

2) Arrange them in descending order (largest to smallest)

We have : -1 + x⁵ - 1/3x²

The degree of -1 is 0 since there is no power.

The degree of x⁵ is 5.

The degree of - 1/3x² is 2.

Now arranging them in descending order:

x⁵ has the largest degree, followed by - 1/3x² and then -1, so the polynomial in standard form is:

x⁵ - 1/3x² -1

Tritan purchaed a new car in 2000 for $22,800. The value of the car ha been depreciating exponentially at a contant rate. If the value of the car wa \$10,400$10,400 in the year 2006, then what would be the predicted value of the car in the year 2016, to the nearet dollar?

Answers

Tritan purchased a new car in 2000 for $22,800. The value of the car ha been depreciating exponentially at a constant rate then the Cost of the car in year 2016 will be $2811.

Cost price of the car = $22800

Value of the car has been depreciating exponentially, so the formula for value   of the car after t years,

Here P(t) = Final value after t years

A = Cost price or initial value

r = rate of depreciation

t = duration in years

r = 100(1 - 0.87737)

r = 12.26%

Now cost of the car in year 2016 (After 16 years)

P(16)  = 2810.99

       = $2811

Therefore, cost of the car in year 2016 will be $2811.

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An airplane is descending from 35600 ft at 3200ft per mile,

how long would it be until the plane reaches 18,000 ft? I dont remember the exact ft but i just need a example such as a equation to solve please! please help! T>T

Answers

Answer:

To calculate how long it will take for the plane to reach 18,000 ft, first find the difference between the plane's current altitude and its target altitude:

35,600 ft - 18,000 ft = 17,600 ft

Then, divide this difference by the rate of descent to find the time it will take for the plane to reach its target altitude:

17,600 ft / 3,200 ft/mile = 5.5 miles

Since the rate of descent is given in feet per mile, this result is equivalent to the time it will take for the plane to reach its target altitude. Therefore, it will take the plane 5.5 miles (or a similar amount of time) to reach 18,000 ft.

select the correct answer from each drop down menu

choices: the rate of function eight is (greater than), (less than), (equal to) the rate of change a function b

(neither function is ), (only function b is) , (only function a is) , (both functions are) increasing.

The y intercept of function a is (less than) , (greater than), (equal to) the y-intercept of function B

whatever is in the parentheses are the choices. please help

Answers

The rate of change of function A is greater than the rate of change of function B.

The y-intercept of function A is less than the y-intercept of function B.

How to calculate the rate of change of the function?

The rate of change is also called the slope of a linear equation and is defined as the rate of change of y-values divided by the corresponding change in x-values.

For function A, we are told that the line passes through the points (2, 3) and (-1, -3). The rate of change is gotten from the formula;

Rate of change = (y₂ - y₁)/(x₂ - x₁)

Rate of change = (-3 - 3)/(-1 - 2)

Rate of change = -6/-3

Rate of change = 2

For function B, we are given that the equation of the line is;

y = ¹/₂x + 2

Now, formula for equation of a line in slope intercept form is;

y = mx + c

where ;

m is slope and c is y-intercept

Thus, slope is 1/2 and y-intercept is 2

For function A, we can find the y-intercept as;

3 = 2(2) + c

c = 3 - 4

c = -1

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a line with a slope of 2 passes through the points (10,8) and (w,6). what is the value of w?

Answers

Answer:

w = 9

Step-by-step explanation:

Use a slope formula to solve. Subtract the y's put that on top and subtract x's and put that on the bottom. This calc should equal 2 that was given.

(8-6)/(10-w) = 2

2/(10-w) = 2

Cross-multiply.

2 = 2(10-w)

Distributive property

2 = 20 - 2w

Add 2w

2 + 2w = 20

Subtract 2

2w = 18

divide by 2

w = 18/2 = 9

Or you can logic it out...8-6 is 2 on top. Need a 1 on the bottom (bc 2/1 is 2) 10-9 is 1 for on the bottom. w = 1

the booking limits for four fare classes in a flight are given as . (a) what is the available capacity for these four classes, i.e., what is the booking limit for classes {1, 2, 3, 4}? [ select ] (b) from this available capacity, how many seats are protected for class 1, i.e., what is the protection level for class 1?

Answers

The function available capacity for the four classes is 40 seats each. The protection level for class 1 is 40 seats, meaning that 40 seats are protected for class 1. 40 + 40 + 40 + 40 = 160

The booking limits for the four fare classes in a flight are given as 40, 40, 40, and 40, respectively. This means that the available capacity for these four classes is 40 seats each. The protection level for class 1 is 40 seats, meaning that 40 seats are specifically reserved for passengers in class 1. This ensures that passengers in class 1 are guaranteed at least 40 seats on the flight. The protection level for the other classes is also 40 seats each, ensuring that at least 40 seats are available for each class. This allows airlines to ensure that all of their classes have sufficient seating capacity for their passengers. 40 + 40 + 40 + 40 = 160

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a company wants to encrypt a document containing important passwords. to do this, the sum of two positive numbers will need to be minimized. if the product of both numbers is 47, what is the minimum sum?

Answers

The requried, "a" and "b" are positive numbers, the minimum sum (a + b) is 13.711.

To find the minimum sum of two positive numbers whose product is 47, we can use the concept of the arithmetic mean-geometric mean inequality (AM-GM inequality).

The AM-GM inequality states that for any two positive numbers, the arithmetic mean (average) is always greater than or equal to the geometric mean. Mathematically, it can be expressed as:

AM ≥ GM

For two positive numbers "a" and "b," the arithmetic mean is (a + b) / 2, and the geometric mean is √(ab).

Given that the product of the two numbers is 47 (ab = 47), we want to find the minimum value of their sum (a + b).

Using the AM-GM inequality:

(a + b) / 2 ≥ √(ab)

Substitute ab = 47:

(a + b) / 2 ≥ √47

Now, let's solve for the minimum sum (a + b):

a + b ≥ 2(√47)

a + b ≥ 2 * √(47)
a + b ≥  13.711.        

Since "a" and "b" are positive numbers, the minimum sum (a + b) is 13.711.

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The prices paid for a model of a new car are approximately normally distributed with a mean of $17,000 and a standard deviation of $500.

The price that is 3 standard deviations above the mean is $_

The price that is 2 standard deviations below the mean is $_

The percentage of buyers who paid between $16,500 and $17,500 is %___

The percentage of buyers who paid between $17,000 and $18,000 is %___

The percentage of buyers who paid less than $16,000 is %__

Answers

Answer: If the prices paid for a model of a new car are approximately normally distributed with a mean of $17,000 and a standard deviation of $500, it means that the majority of the prices paid for the car will fall within a certain range around the mean. Specifically, approximately 68% of the prices paid will be within one standard deviation of the mean, which in this case would be between $16,500 and $17,500. Approximately 95% of the prices paid will be within two standard deviations of the mean, which would be between $16,000 and $18,000. And approximately 99.7% of the prices paid will be within three standard deviations of the mean, which would be between $15,500 and $18,500. This shows that the prices paid for the car are relatively consistent, with only a small percentage falling outside of the range determined by the mean and standard deviation.

Step-by-step explanation:

mince pies and 2 jars of cranberry sauce costs £4.80 10 mince pies and 3 jars of cranberry sauce costs £7.60 How much does a mince pie and a jar of cranberry sauce cost each?

Answers

Answer:

£2.53 just divide£7.60by 3

a cylindrical water tank with its circular base parallel to the ground is being filled at the rate of 4 cubic feet per minute. the radius of the tank is 2 feet. how fast is the level of the water in the tank rising when the tank is half full? give your answer in feet per minute.

Answers

In the given cylinder we know that it takes the water around 3.14 minutes to rise 1 ft.

What is a cylinder?

One of the most fundamental curvilinear geometric shapes, a cylinder has historically been a three-dimensional solid.

It is regarded as a prism with a circle as its base in basic geometry.

In several contemporary fields of geometry and topology, a cylinder can alternatively be characterized as an infinitely curved surface.

So, we know that:

The rate at which water is being filled is 4 ft³.

The radius of the cylinder is 2 ft.

Now, the time in which the level of water in the tank rises when the tank is half full:

Area of cylinder: πr²

πr² =  12.566 ft³

Next, multiply 4 by 12.566 to get how quickly the water is rising:

12.566 ft³/4 ft³/min = 3.14 m

According to this, a foot of water rises every roughly 3.14 minutes, or 1/3.14 - 0.318 ft/min, or 3.82 in/min.

Therefore, in the given cylinder we know that it takes the water around 3.14 minutes to rise 1 ft.


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What is x+3y ≥ 3
Help?

Answers

Answer: x

3

3

y

Step-by-step explanation:

identify the value of f(x) and x from the given coordinates

Answers

Answer:

1

Step-by-step explanation:

For function f(x), the average rate of change from x = a to x = b is:

average rate of change = (f(b) - f(a))/(b - a)

Here we have:

f(a) = f(-3) = -2.88

f(b) = f(2.5) = 2.62

average rate of change = (2.62 - (-2.88))/(2.5 - (-3)) = 1

4) The instantaneous rate of change of f(x)=x³−5 at (2,3) is:
a) 4
b) 12
c) 48
d) 60

Answers

The instantaneous rate of change of f(x) = x³ − 5 at (2,3) is (b) 12

How to determine the instantaneous rate of change

From the question, we have the following parameters that can be used in our computation:

Function: f(x) = x³ − 5

Point = (2, 3)

Differentiate the function to get the instantaneous rate

This is represented as

f'(x) = 3x²

Substitute 2 for x in the equation

The 2 is coming from the x-coordinate in (2, 3)

So, we have

f'(2) = 3(2)²

Evaluate

f'(2) = 12

Hence, the instantaneous rate of change is 12

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y is directly proportional to x. When x = 2, y = 64. Find x when y = 80​

Answers

Answer:

64 divided by 2= 32 80 divided by 32= 2.5

Identify the angles shown

A. Corresponding angles
B. Alternate interior angles
C. Same side interior angles
D. Alternate exterior angles

Help!!!

Answers

Answer- B
It would be alternate interior angles because they are on alternating sides, opposite from each other, and because they are in the inner part!

A train leaves the station at time t=0. Traveling at a constant​ speed, the train travels 260 kilometers in 2 hours. Answer parts a and b

Answers

The function which can be used to find the relation between distance and time is f(t) = 130t.

As we know the train travels 260 kilometers in 2 hours,

then the distance traveled in one hour will be 130 kilometers.

distance = 130

when time = 0 ,

distance also = 0 , as the train has not started moving yet.

Then , the function which can tell bout the  relation will be ,

f(t) = 130t

where d = f(t)

Distance is a scalar quantity which tells us about how far an object is from its starting position. Distance don't have a direction.

The distance unit of measurement in the SI

SI unit of distance is meter  in the International System of Units.

Using this as the fundamental unit and a few formulae, a large number of different derived units or quantities are produced, including volume, area, acceleration, and speed.

Distance is measured also  using the C.G.S. and M.K.S in metric unit system.

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Establish the identity.
1+ tan^2 (-0) = sec^2 0
Which of the following four statements establishes the identity?

pls help asap i can’t pass this class without passing this test :(

Answers

The correct statement that establishes the identity is the third one: "The reciprocal of the cosine of an angle is equal to the secant of the angle."

Here's how you can prove this using the other three statements:

"The tangent of an angle is equal to the sine of the angle divided by the cosine of the angle."

"The reciprocal of the sine of an angle is equal to the cosecant of the angle."

"The reciprocal of the cosine of an angle is equal to the secant of the angle."

"The reciprocal of the tangent of an angle is equal to the cotangent of the angle."

To prove the identity, we can start by substituting the first statement into the equation on the left side of the identity:

$1 + \tan^2 (-0) = 1 + \left( \frac{\sin (-0)}{\cos (-0)} \right)^2 = 1 + \frac{\sin^2 (-0)}{\cos^2 (-0)}$

Next, we can use the fourth statement to write the right side of the identity in terms of the cotangent:

$1 + \frac{\sin^2 (-0)}{\cos^2 (-0)} = 1 + \frac{1}{\cot^2 (-0)} = \frac{1}{\cot^2 (-0)}$

Now we can use the second statement to write the right side of the identity in terms of the cosecant:

$\frac{1}{\cot^2 (-0)} = \frac{1}{\frac{1}{\sin^2 (-0)}} = \csc^2 (-0)$

Finally, we can use the third statement to write the right side of the identity in terms of the secant:

$\csc^2 (-0) = \frac{1}{\sec^2 (-0)} = \sec^2 (-0)$

Therefore, the third statement establishes the identity.

please solve theta
csc^2 theta=cot theta+3

Answers

The value of θ will -45° or 26.56°

What are trigonometric identities?

Trigonometric Identities are the equalities that involve trigonometry functions and holds true for all the values of variables given in the equation.

Given that, cosec²θ = cotθ + 3

Solving for θ,

∵ cosec²θ = cot²θ+1

∴ cot²θ+1 = cotθ + 3

cot²θ-cotθ-2 = 0

Factorizing and solving, we get

(cotθ+1)(cotθ-2) = 0

cotθ+1 = 0

cotθ = -1

θ = -45°

or, cotθ-2 = 0

cotθ = 2

θ = 26.56°

Hence, The value of θ will -45° or 26.56°

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HELPPPP!! how do i find the angle measure ?

Answers

Answer:

1. m<AOB = 50 degree

2. m<COD = 90 degree

3. m<BOD = 130 degree

4. m<AOD = 180 degree

Step-by-step explanation:

1. We see that <AOB has one leg at 0 and the other leg at 50 degrees, so the <AOB is 50 degrees.

2. We see that <COD has one leg at 0 and the other leg at 90 degrees, so the <COD is 90 degrees

3. We see that <BOD has one leg at 50 and the other leg at 180 leg, so the <BOD is 180 - 50 = 130 degree

4/ We see that <AOD has one leg at 0 and the other leg at 180 degrees, so the <AOD is 180 - 0 = 180 degrees

three calculus students entered a pizza parlor. they were quite hungry and ordered an entire pie, but instead of having the pizza maker cut the pie in the usual manner they asked her to slice the pie into three equal areas using only two parallel slices. where should these slices be made in order to accomplish this?

Answers

As per the Newton's method, the equal ration of the Pizza is 3: 2: 3

In math, Newton's method states that a technique for solving equations of the form f(x)=0 by successive approximation

Here we have given that three calculus students entered a pizza parlor. they were quite hungry and ordered an entire pie, instead of having the pizza maker cut the pie in the usual manner they asked her to slice the pie into three equal areas using only two parallel slices.

And we need to find these slices be made in order to accomplish this

Here let us assuming that the pizza has unit radius, and the area of the pizza is π and each piece has to have area π/3.

Therefore, the given details is enough to find the height of a circle segment such that its area is one third of the original circle,

As per the Newton's method, we get the value of h as,

=> h ≈ 0.735068 ≈ 4492/6111,

Therefore the three slices have widths approximately proportional to 3:2:3.

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this will be my last question of the day.

Answers

Answer:

x = -3

Step-by-step explanation:

See the picture below

if x^2 + y^2 = 289, find the value of dy/dt at (8,15)

Answers

Answer: a)

Step-by-step explanation:

To find [tex]\frac{dy}{dx}[/tex], we will have to use implicit differentiation, and because the base is [tex]dx[/tex], we will take the deriviative of both sides with respect to [tex]x[/tex].

To derive [tex]y[/tex] with respect to [tex]x[/tex], just derive the term with respect to y then multiply the term with [tex]\frac{dy}{dx}[/tex].

So [tex]\frac{d}{dx} x^{2}[/tex] is just [tex]2x[/tex], [tex]\frac{d}{dx} y^{2}[/tex] is [tex]2y \frac{dy}{dx}[/tex], and  [tex]\frac{d}{dx} 289[/tex] is 0. Now substitue each term with it's deriviative.

[tex]2x + 2y \frac{dy}{dx} = 0[/tex]

Now, just solve for  [tex]\frac{dy}{dx}[/tex] when [tex]x[/tex] is 8 and [tex]y[/tex] is 15

[tex]2(8) + 2(15)\frac{dy}{dx} = 0[/tex]

[tex]16 + 30\frac{dy}{dx} = 0[/tex]

[tex]\frac{dy}{dx} = \frac{-16}{30} = \frac{-8}{15}[/tex]

So the answer is choice a)

How do I solve for x in #34 and #35?

Answers

Answer:

  34. x = 3 1/3

  35. x = 5.2

Step-by-step explanation:

Given figures involving triangles with angle bisectors and parallel segments, you want to solve for x.

In each case, you need to make use of two proportional relationships. An angle bisector divides the triangle proportionally. An segment parallel to one side of the triangle divides it proportionally.

34.

Using the angle bisector relation, you have ...

  QP/PT = QS/ST

  x/3 = 5/ST   ⇒   x = 15/ST

Using the parallel segment relation, you have ...

  PT/QR = ST/SR

  3/2 = ST/3   ⇒   ST = 9/2

Using the value of ST in the equation for x gives ...

  x = 15/(9/2) = 30/9 = 10/3

  x = 3 1/3

35.

Using the angle bisector relation, you have ...

  EF/ED = CF/CD

  7.2/9 = CF/6   ⇒   CF = 6(7.2/9) = 4.8

Using the parallel segment relation, you have ...

  CB/BA = CF/FE

  x/7.8 = 4.8/7.2

  x = 7.8(4.8/7.2)

  x = 5.2

__

Additional comment

In each case, we assigned a numerical value to the intermediate variable (ST, CF). We didn't actually need to do that.

Please help me with this

Answers

Answer:

d = 0

Step-by-step explanation:

7.5d = 2.5d

Divided both sides by factors and we get

d = 0

If k is a negative integer, which of these is DEFINITELY NEGATIVE? A. k* (k-1) * (k - 2) B. k* (k+1) C. k* (-50) D. (50-k)​

Answers

Answer:

only A ans bellow

Step-by-step explanation:

let k= -4

A. k * (k - 1) * ( k - 2)

= -4 * (-4 -1) * ( -4 -2)

= -4* (-5) * (-6)

= 20*-6

= -120

B. k * ( k+1)

= -4 * ( -4+1)

= -4 * (-3)

= + 12

C. k * (-50)

= -4 * (-50)

= + 200

D . (50 - k)

= 50 - (-4)

= 50 + 4

= + 54

Mark me the brainliest

if k is negative then k(k-1)(k - 2) will be definitely negative.

What is Number system?

A number system is defined as a system of writing to express numbers.

Given that k is a  negative integer.

We need to find which of the given options are defnitely negative.

Let us consider k as -3.

k(k-1)(k - 2)

-3(-3-1)(-3-2)

-3(-4)(-5)=-60

Which is negative.

k(k+1)=-3(-3+1)=6 +ve

k (-50)=-3(-50)=150 +ve

(50-k)​=50-(-3)=53 +ve.

Hence, if k is negative then k(k-1)(k - 2) will be definitely negative.

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Other Questions
tarquesan inc. declared a $50,000 dividend in 2012. they did not pay out any dividends in 2011. given the following stock information, determine the amount of dividends in arrears that is owed to the preferred stockholders. preferred stock issues 10,000 preferred stock cumulative at $/share .90 common stock issued 100,000 Overhead Variances and Their Disposal Warner Company has the following data for the past year: Actual overhead $491,000 Applied overhead: Work-in-process inventory $104,000 208,000 Finished goods inventory Cost of goods sold 209,000 Total $520,000 Warner uses the overhead control account to accumulate both actual and applied overhead. Required: 1. Calculate the overhead variance for the year. Provide the appropriate adjusting journal entry to close the overhead variance to Cost of Goods Sold. 2. Assume the variance calculated is material. After prorating, close the variances to the appropriate accounts. If an amount box does not require an entry, leave it blank. Assume the variance calculated is material. After prorating, provide the final ending balances these accounts. Unadjusted Balance Prorated Overapplied Overhead Adjusted Balance Work-in-Process Inventory $104,000 Finished Goods Inventory $209,000 Cast of Goods Sold $209,000 3. What if the variance is of the opposite sign calculated in Requirement 1? Provide the appropriate adjusting joumal entries for Requirements 1 and 2. For a compound transaction, if an amount box does not require an entry, leave it blank. Variance immaterial Variance material vil I blends Japanese and American management practices into a hybrid approach which calls for long-term employment, collective decision making and individual responsibility for the outcome of decisions o Theory Z Theory X o Theory Y Theory A Predict when an author might want to ue firt-peron narrator point of view for a tory. A. When an author want many character feeling reported in a converationB. When an author want the narrator to talk to the reader and decribe everything that happenC. When an author want to let the reader ee deeply into the feeling and thought of one main characterD. When an author want to let the reader know what happening with every character in the tory, no matter the time and place Which public-safety regulations target the protection of workersas the central focus?O regulations for advertisingO regulations for pollution regulations for business-activityregulations for equal-opportunity FILL IN THE BLANK. the choose___ had a very precise language suited to many fields, unlike the choose___ whose language was not as precise but also covered a number of fields. a postsynaptic neuron has both nmda and ampa receptors. what would happen to the epsp caused by an incoming glutamate signal if you add an ampa antagonist. In an in for national piece what should your purpose be estimate the age of a bone if it now contains 70% of its original amount of carbon-14. round to the nearest 100 years in the Bohr model of the atom, in which orbit is an electron in its lowest energy state?a. in the orbit closest to the nucleusb. in the orbit farthest from the nucleusc. in the electron cloudd. midway between two orbits the ability to produce novel and valuable ideas is called a. belief perseverance. b. framing. c. convergent thinking. d. creativity. 3. Imagine that you are taking a ride while on vacation. If the ride service charges Birr 50 to pick you up from the hotel and Birr 10 per km for the trip. What maximum km's you travel if your cost is not more than Birr 1350. by helping to eliminate critical errors and allowing nonprofits to stay focused on their primary missions of improving communities throughout california, nonprofit information specialists play a critical role and have a significant impact on work in the nonprofit sector. the nonprofit information specialist is frequently the first resource that board members, staff, and volunteers of nonprofit organizations, as well as the general public, contact to find answers to their questions. trained nis (nonprofit information services) staff must understand nonprofit culture and terminology and know the experts in a field to be able to give questioners appropriate information, community resources, web sites, or consultant referrals. nis staff use to improve productivity and foster innovation. Which of the following sequences is an arithmetic sequence? Why?1. 3, 7, 11, 15, 192. 4, 16, 64, 2563. 48, 24, 12, 6, 3, ...4. 1, 4, 9, 16, 25, 365. 1, 1/2, 0, -1/26. -2, 4, -8, 16, ...7. 1, 0, -1, -2, -38. 1/2, 1/3, 1/4, 1/5, ...9. 3x, x, x/3, x/9, ...10. 9.5, 7.5, 5.5, 3.5, .. Solve the quadratic equation by using a numeric approach.x squared - 8 x - 16 = 0 a. x = 1 b. x = 5 c. x = -4 d. x = -8 Solve the equation 10-(x+3)/2=8. pecan theatre inc. owns and operates movie theaters throughout florida and georgia. pecan theatre has declared the following annual dividends over a six-year period: year 1, $80,000; year 2, $90,000; year 3, $150,000; year 4, $150,000; year 5, $160,000; and year 6, $180,000. during the entire period ended december 31 of each year, the outstanding stock of the company was composed of 250,000 shares of cumulative, preferred 2% stock, $20 par, and 500,000 shares of common stock, $15 par . when using a(n) join, only rows that meet the given criteria are returned. a. full b. inner c. outer d. set choose the most appropriate reagent(s) for conversion of 1-methylcyclohexene to 2-methylcyclohexanol. What is the difference between an argument and a return value? How many argu-ments can a method call have? How many return values?