Select the correct answer. Julian’s brother is performing some calculations on his calculator. Julian sees that the result in the display is 4. 1.30E+08. How can this number be expressed in standard notation? A. 4. 13 × 107 B. 4. 13 × 10-7 C. 41,300,000 D. 413,000,000.

The transfer price set by the selling division should be equal to the selling price less the variable costs plus the foregone contribution to the organization of making the transfer internally. Option D.

The transfer price refers to the price at which goods or services are transferred between divisions within the same organization. When the selling division sets the transfer price, it needs to consider various factors. Option D, selling price less the variable costs plus the foregone contribution to the organization of making the transfer internally, is the most appropriate choice.

The selling price less the variable costs ensures that the selling division covers its direct costs associated with the transferred goods or services. This ensures that the division remains financially viable and does not incur losses. However, it is also important to consider the opportunity cost of making the transfer internally.

The foregone contribution to the organization represents the potential profit or contribution that the selling division could have made if it had sold the goods or services to external customers instead of transferring them internally. By including this foregone contribution in the transfer price, the selling division accounts for the potential value it could have added to the organization.

In conclusion, the transfer price set by the selling division should consider both the variable costs associated with the transfer and the foregone contribution to the organization. Option D, selling price less the variable costs plus the foregone contribution to the organization of making the transfer internally, captures both of these factors and provides a comprehensive approach to setting the transfer price.

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Answer:

320cm³ (option C)

Step-by-step explanation:

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Volume of bird house = volume of a cuboid + volume of a triangular prism

Volume of a cuboid = length × breadth × height

= 8cm × 5cm × 6cm = 240cm³

Volume of triangular prism = ½ base ×height ×length

= ½ × 8×4×5 = 80cm³

Volume of bird house = 240+80

Volume of bird house = 320cm³

Amount of birdseed that will it take to fill the birdhouse = Volume of bird house = 320cm³

The graph that represents the situation is required.

What is graph?

A graph is a structure that resembles a set of items in discrete mathematics, more especially in graph theory, in which certain pairs of the objects are conceptually "connected." The items are represented by mathematical abstractions known as vertices, and each pair of connected vertices is referred to as an edge.

Graphs are a popular tool for graphically illuminating data connections. A graph serves the objective of presenting facts that are either too many or complex to be fully expressed in the text while taking up less room.

Here the  X- axis denotes the number of hours and

Y- axis denotes the pounds of ice.

The given ordered pair is

\(\left(\frac{1}{2}, 1 \frac{1}{2}\right)=(0.5,1.5)\)

At zero hours the ice produced will be zero so, the third and fourth options are incorrect.

The only graph where the line passes through (0.5,1.5).

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Answer:

19

Step-by-step explanation:

Step-by-step explanation:

8.

the angle at a vertex (crossing point) outside of the circle (when both lines intersect with the circle arc, which is also the case for tangents) is half of the difference of both arc angles (the outer and the inner angles).

the outer angle is 250°. since the full circle is 360°, this makes the inner arc angle 360-250 = 110°.

the difference is 250-110 = 140.

and half of that difference is

140/2 = 70°.

so, x = 70°

9.

see 8.

the angle at the vertex outside the circle is half of the difference between outer and inner arc angle.

in fact, this is again about tangents (despite the picture), because the outer angle + the inner angle is again 360° (the full circle). this can only be, if the 2 lines are tangents splitting the outer and inner arc angles into 2 parts of 360° without remainder.

320 - 40 = 280

280/2 = 140

x = 140°

10.

see 8. and 9.

it is an extreme example, where the vertex of the 2 intersecting lines is exactly on the circle arc and the tangent point of the second line.

this makes the inner arc angle = 0°.

remember, the vertex angle (55°) is half of the difference of the outer (x) and inner (0°) arc angle.

55 = (x - 0)/2

110° = x

11.

remember the table question, where we found that the circle internal angle of 2 intersecting lines is half of the sum of both intersected arc angles ?

this is exactly this case again.

(120 + 50)/2 = 170/2 = 85°

x = 85°.

12.

first, like in 8. and 9., we determine the vertex angle. x is then the supplementary angle (together they have 180°) to this vertex angle, because the sum of all angles around one point on one side of a line is always 180°.

the vertex angle is

(125 - 15)/2 = 55°

x + 55 = 180

x = 125°.

13.

see 11.

the circle internal vertex angle is half of the sum of both circle arcs.

x = (70 + 30)/2 = 100/2 = 50°.

14.

again, an extreme case, where the vertex is on the circle arc. so, the second arc angle is 0°.

see also 12.

x is the supplementary angle of the vertex angle.

the vertex angle is

(80 + 0)/2 = 80/2 = 40°.

x + 40 = 180

x = 140°.

15.

it is difficult to read. I see the outer arc circle as 140°.

see 8., 9., 10.

the vertex angle x is

x = (140 - 70)/2 = 70/2 = 35°

do I sound like a broken record ? I at least feel that way. you should be able to apply the explanations from the previous questions to solve the new ones yourself.

what is not clear yet ? where do you need further explanations ?

The number of ways of 3 volumes chosen at random is 455.

The number of ways that will include volume 1 and volume 2 is 13 and

The number of ways that will include volume 1 but not volume 2 is 156

Permutation and combination

In Mathematics, Permutation and combination are the ways of representing a group of objects by selecting from a set and forming subsets. These define the different types of ways to arrange a certain group of data.

When we select objects from a group, it is said to be permutations, whereas the combination is a way of selecting items, here the order of selection does not matter.

The formula for the combination of x things from a set of n things without replacement is given by

Here we have,

Number of volumes of  an encyclopedia = 15

Number volumes were chosen at a time = 3

From above formula

The number of ways of 3 volumes is chosen at random is

¹⁵C₃ = 15!/3!(15 - 3)!  

= 15!/3!(12)!  

= 15 × 14 × 13 × 12! / 6 (12!)

= 455  

(b) Including volume 1 and volume 2

To Include volume 1 and volume 2 in the set, first, we choose volume 1 and volume 2, and then we must choose the 3rd volume from the remaining volumes from 3 to 15 volumes [total 13 volumes].

Therefore the number of ways that will include volume 1 and volume 2

= 1 × 1 × 13 = 13  

(c) Including volume 1 but not volume 2

Here we are including volume 1 but not volume 2, for that in the first place we chose volume 1, for the second and third place we must choose from the remaining volumes 3 to 15 [total 13 volumes except 2 ]

The number of ways that will include volume 1 but not volume 2

= 1 × 13 × 12

= 156

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The value of the expression 15/3 is 5

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

15/3

The above expression is a mathematical expression that can be translated as

15 divided by 3

When 15 is divided by 3, we have the following result

15/3 = 5

Hence, the value is 5

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Complete question

What is the value of 15/3?

The given series, 2, 1, 3, 2, 4, is not alternating series with given partial sum.

A series in which the terms' signs alternate between positive and negative is known as an alternating series. The signs of the words in the given series—2, 1, 3, 2, 4—do not rotate regularly. The signs change between the first two phrases (2 and 1), but they do not change between the following terms. The alternating pattern is broken by the third term, 3, which is positive. As a result, the described series does not satisfy the requirements of an alternating series with given partial sum.

Let's examine the signs of the terms in the series to further demonstrate this. The initial term, 2, is favourable. The next term, 1, is unfavourable. Until now, the indicators have changed. The third term, 3, on the other hand, is positive, breaking the alternating pattern. The third term does not alternate with the fourth term, 2, which is positive once more. In line with the fourth term, the fifth term, 4, is also good. Because the series' sign alternation is inconsistent, it cannot be considered an alternating series.

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Complete Question: You are given the first five partial sums of a series' values in problem 1. Is the series a recurring one? Why not, then?

2,1,3,2,4

The value of width 'w' of rectangular prism with l = n/a, h = n/a, v = n/a is given by, w = a/n.

We know that the volume of rectangular prism with length L and width W and Height H is given by,

V = L*W*H

Given that the Height of the rectangular prism, h = n/a

Length of the rectangular prism, l = n/a

Volume of the rectangular prism, v = n/a

let the width of the rectangular prism be 'w'.

So from the volume formula we get,

v = lwh

n/a = (n/a)*w*(n/a)

n/a = (n/a)²*w

w = (n/a)/(n/a)² = (n/a)*(a/n)² = a/n

Hence the value of w is a/n.

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Answer:

i think 24

Step-by-step explanation:

1/2 H x B

6 x 8 =48 1/2 is 24

The area of the tile is 24 square in.

A triangle is a flat geometric figure that has three sides and three angles. The sum of the interior angles of a triangle is equal to 180°. The exterior angles sum up to 360°.

For the given situation,

The tile is in the shape of right triangle.

The sides of triangle are 10 in, 8 in, 6 in.

Here, Base of the triangle,b = 6 in

Height of the triangle,h = 8 in

The formula of area of triangle is

\(Area = \frac{1}{2}(base) (height)\)

⇒ \(A=\frac{1}{2}(6)(8)\)

⇒ \(A=24\)

Hence we can conclude that the area of the tile is 24 square in.

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On October 24, 218 days after March 20, there will be 10 hours of sunlight.

The number of daily sunlight hours of a particular location is modelled by the trigonometric equation,

l(t) = 12 + 3.5sin (2\(\pi\)/365t)

Here , L(t)= Number of sunlight hours in a day.

           t = Number of days after 20th March .

Now we are required to determime the day  during first 365 on which there are 10 sunlight hours ,that is, we need the value of "t" for which L(t) =10 hours. So in the given equation by putting L(t)= 10 and solving for t , follows as,

l(t) = 12 + 3.5sin (2\(\pi\)/365t)

10 = 12 + 3.5sin (2\(\pi\)/365t)

10-12 = 3.5sin (2\(\pi\)/365t)

-2 =  3.5sin (2\(\pi\)/365t)

-2/3.5 = sin (2\(\pi\)/365t)

-0.574 = sin (2\(\pi\)/365t)

For the inverse function of y = sin x

sin ⁻¹(y) =x + 2n\(\pi\)

Now as we are required to calculate the day having 10 sunlight hours in first 365 days so putting n=0 we get,

t = -35.3521 or t =217.9422

Now t can not be negative as we want to find the day after march 20 having 10 sunlight hours. So neglecting t=-35.3521 . Now we get t=217.9422 .

Rounding off we get ,t=218 which is the required answer.

Hence, 218 days after march 20 i.e on October 24 it will have 10 sunlights.

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The surface area of the cylinder is 118.76 square inches if the height is 8 inches and base radius is 4 inches.

A cylinder is defined as a solid geometric figure with straight parallel sides and a circular or oval cross section.

Surface area is the amount of space covering the outside of a three-dimensional shape.

Surface area  of the cylinder is calculated as  : - 2πr² + 2πrh

We have:

Height of the cylinder h = 8 inches

The radius r = 4 inches

π = 3.14

Surface Area  = 2(3.14)(4)² + 2(3.14)(4)(8)

surface Area = 2x 3.14 x 16 + 18.28

surface Area = 100.48 + 18.28

surface Area = 118.76 square inches

Therefore , the surface area of the cylinder is 118.76 square inches if the height is 8 inches and base radius is 4 inches.

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Answer:

36°

Step-by-step explanation:

<U + < V + <W = 180° (sum of angles in a triangle)

<W = 54°

The tangent is always perpendicular to the radius drawn to the point of tangency...

therefore,

<U = 90°

90° + <V + 54° = 180°

144° + <V = 180°

<V = 180° - 144°

<V = 36°

Answer:

V=36

Step-by-step explanation:

tangent makes rigt angle with radius angle U=90

W+V+U=180

V=180-90-54

V=36

If every individual in a population has an equal chance of being selected for a sample, the sample is said to be a "random sample" or a "simple random sample."

A random sample is a sampling technique used in statistics to gather data from a population. It is considered one of the most unbiased and reliable methods for selecting a sample. In a random sample, each individual in the population has an equal probability of being selected, regardless of their characteristics or attributes.

This equal chance of selection eliminates any systematic bias and ensures that the sample is representative of the population.

The process of obtaining a random sample involves assigning a unique identifier to each individual in the population and using a randomization method to select the desired number of individuals.

Random sampling can be conducted through various techniques, such as simple random sampling, where individuals are selected directly from the population using a random number generator or a randomization table.

The goal of a random sample is to reduce the potential for selection bias and increase the generalizability of the findings to the larger population. By giving every individual an equal opportunity to be included in the sample, researchers can make more accurate inferences and draw conclusions about the population as a whole.

This type of sampling method ensures that each member of the population has an equal opportunity to be included in the sample, making it a representative subset of the population.

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Answer:

\(F = \frac{9}{5}(C + 32)\)

Step-by-step explanation:

Given

\(C = \frac{5}{9}F - 32\)

First, we need to solve for F

\(C = \frac{5}{9}F - 32\)

Add 32 to both sides

\(C + 32 = \frac{5}{9}F - 32 + 32\)

\(C + 32 = \frac{5}{9}F\)

Multiply both sides by \(\frac{9}{5}\)

\(\frac{9}{5} * (C + 32) = \frac{5}{9}F * \frac{9}{5}\)

\(\frac{9}{5} * (C + 32) = F\)

\(F = \frac{9}{5} * (C + 32)\)

\(F = \frac{9}{5}(C + 32)\)

Next, is to determine the temperature in degrees Fahrenheit

However, this is not stated the degree Celsius equivalent is not stated in your question.

So, I'll assume a value for it.

Assume that C = 23

Substitute 23 for C in \(F = \frac{9}{5}(C + 32)\)

\(F = \frac{9}{5}(23+ 32)\)

\(F = \frac{9}{5}(55}\)

\(F = 9 * 11\)

\(F = 99\)

Answer:

20 degrees

Step-by-step explanation:

If BD is the angle bisector of ABC, then ABD must equal half of that. 40/2=20 degrees. Hope this helps!

Answer:

\(m\angle ABD =20^\circ\)

Step-by-step explanation:

According to the given statement the two angles are equal.

\(3x-1=34-2x\\\\\Rightarrow x=7\\\\m\angle ABD = 3(7)-1 = 20^\circ\)

Best Regards!

The example of a Type I error in this case is: "We conclude that drinking coffee after breakfast leads to greater weight loss when in fact it does not."

What is Type I error?

A Type I error, also known as a false positive, occurs in statistical hypothesis testing when the null hypothesis (H₀) is incorrectly rejected, despite it being true in reality.

In hypothesis testing, a Type I error occurs when the null hypothesis (H₀) is incorrectly rejected when it is actually true. In this scenario, the null hypothesis would state that there is no effect of drinking coffee after breakfast on weight loss.

If the researchers conclude that drinking coffee after breakfast leads to greater weight loss, but in reality, there is no effect of coffee on weight loss, it would be a Type I error. This error implies that the researchers mistakenly concluded that there is a significant effect of the independent variable (drinking coffee after breakfast) on the dependent variable (weight loss), when there is no real effect present in the population being studied.

It is important to control the risk of Type I errors by selecting an appropriate significance level (alpha) and interpreting the results cautiously.

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The equation that should model the number of players left after the tournament would be = f(X) = 32(1-0.5)³. That is option A.

To determine the equation that would represent the statement given above the following needs to be done.

The quantity of players that were eliminated for each round = 1-0.5.

The total number of players = 32

Therefore the correct equation that represents the number of players left after three round would be =

f(X) = 32(1-0.5)³.

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Answer:

Mammals

Step-by-step explanation:

these vertebrates are considered mammals

Answer:

Subsets of {dog, cat, fish} are Ф, {dog}, {cat}, {fish}, {dog, cat}, {dog, fish}, {cat, fish}, {dog, cat, fish}

if that doesn't work do

4 - Practice: Working with Sets Practice

1. D

2. B

3. A

4. C

5. A

6. C

7. C

8. D

9. C

10. B

-cc

hope this helped please mark me brainliest!

Answer:

y=5

Step-by-step explanation:

For two triangles to be congruent, the three angles of one triangle must be congruent to the three angles of the other triangle, AND the three side lengths of one triangle must be congruent to the three side lengths of the other triangle.

Notice that the three angles in each triangle have markings with little arcs.  This is shorthand to represent that the angles are congruent to other angles with the same number of arcs.  Therefore,

So, this means that for the sides to match up, it will be easier to imagine rotating the second triangle counter clockwise so it is in the same orientation.

Side EG of Triangle 1 and Side HK of Triangle 2 are both 31 mm.

Side GF of Triangle 1 and Side KJ of Triangle 2 are both 24 mm.

So, in order for the two triangles to be congruent, side EF of Triangle 1 and Side HJ of Triangle 2 must be the same length.

Since we're asked to find the value of the variable that results in congruent triangles, we'll set the expressions equal to each other

\(length_{EF}=length_{HJ}\)

\(7y-10=25\)

Add 10 to both sides...

\(7y=35\)

Divide both sides by 7...

\(y=5\)

Answer:

angle 8

Step-by-step explanation:

not sure but if correct 1 heart pls and comment

Answer:           A is Correct

Step-by-step explanation:

angle 1 is opposite of angle 3 which means its also 105°

124+124=248 360-248=112 112\2=56

Answer: its 56 i took the quiz

Step-by-step explanation:

The area of the sector is 12π square units.

Given data:

To find the area of the sector, use the formula:

\(\text{Area of Sector} = \frac{\text{Central Angle} }{ 360^\circ} * \pi * r^2\)

Given that the central angle is 120° and the radius is 6 units.

Substitute these values into the formula:

\(\text{Area of Sector} = \frac{120^\circ }{ 360^\circ} * \pi * 6^2\)

\(A = \frac{1}{3} * \pi * 36\)  square units

A = 12π square units

Hence, the area of the sector is 12π square units.

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Answer:

I believe its a

Step-by-step explanation:

Answer:

A(6,4) , R(2,-2), E(5,6)

Step-by-step explanation:

1. Find the coordinates :

A(-6,4) , R(-2,2) , E(-5,-6)

2. Remember the rule for the rotation of the 180º, " (x, y) becomes (-x,-y)"

3 .Now change your original coordinates :

A(-6,4) becomes A(6,4)

R(-2,2) becomes R(2,-2)

E(-5,-6) becomes E(5,6)

4. Now graph the coordinates

Since both equations equal y they need to equal each other.

2x - 5 = -3x + 10

Add 3x to both sides:

5x -5 = 10

Add 5 to both sides

5x = 15

Divide both sides by 5

X = 3

Now solve for y by replacing x with 3:

Y = 2(3)-5 = 6-5 = 1

Y = -3(3)+ 10 = -9+ 10 = 1

Check: replace y with 1 and solve for x:

1 = 2x -5

Add 5 to both sides

6 = 2x

Divide both sides by 2

X = 3 ( True)

(1/root3) to the power of 7 can be expressed as 3^(-4) * root3^7 where b = -4 and c = 7. To express (1/root3) to the power of 7 in the form where b and c are integers, we need to rationalize the denominator first.

(1/root3) = (1/root3) * (root3/root3) = root3/3
So, (1/root3) to the power of 7 = (root3/3)^7
Using the exponent rule, we can rewrite this as:
(root3)^7 / (3)^7
Simplifying, we get:
(3^3 * root3^7) / 3^7
= 3^(-4) * root3^7
Therefore, b = -4 and c = 7.
So, (1/root3) to the power of 7 can be expressed as 3^(-4) * root3^7 where b = -4 and c = 7.
To express (1/√3) to the power of 7 in the form b√c, where b and c are integers, you can follow these steps:
1. Raise (1/√3) to the power of 7: (1/√3)^7
2. Rewrite the expression as (√3)^(-7) since 1 to any power remains 1.
3. Apply the power to the square root: (√3)^(-7) = 1/((√3)^7)
4. Recognize that (√3)^7 = (√3)^6 × √3 = (3^3) × √3 = 27√3
5. Replace the expression in the denominator: 1/(27√3)
Now we have the expression in the form 1/(27√3), which is equivalent to b√c with b = 1 and c = 27.
Your answer: 1/√27

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Answer:

54%

Step-by-step explanation:

2750 is nothing but 54100 if you multiply the numerator and denominator by 2. Now that we have a value over 100, we just have to multiply the entire by 100. The denominator will be canceled, and we're left with 54%

Answer:

54%

Step-by-step explanation:

to find a percentage you must have the denominator (bottom number) that is 100

to get the denominator to 100 you must multiply it by 2

that means you multiply the top and bottom by 2

27 * 2 / 50 * 2

54 / 100

a percentage is a number over 100 and this percentage is 54%

B. This quantity might be the optimal order quantity, but we also need to consider the company’s attitude toward risk.

Simulation models are useful tools for predicting the outcomes of different scenarios, but they are not always accurate representations of reality. Running a simulation model several times with different order quantities can give an indication of the order quantity that maximizes the output, but it does not guarantee that this is the optimal order quantity.

There are many factors that can affect the outcome of a simulation model, such as the model's assumptions, limitations, and inputs. Additionally, simulation models are subject to randomness and variability, so the results of different runs may vary.

For this reason, it is important to consider other factors, such as the company's attitude toward risk, when making decisions based on the results of a simulation model. The company's attitude toward risk can influence the choice of order quantity and affect the overall outcome of the simulation.

Therefore, while the order quantity that maximizes the output in a simulation model might be a good starting point, it is not necessarily the optimal order quantity. Further analysis and consideration of other factors is necessary to determine the best order quantity for the company.

A ratio is a mathematical expression that compares the relative size of two or more values. It is a way of expressing the relationship between two or more quantities in terms of their relative size.

A ratio can be expressed in different ways, such as a fraction, decimal, or percentage. For example, the ratio of 2 to 4 can be expressed as 2/4, 0.5, or 50%.

Ratios are used in many areas of mathematics and science, such as finance, economics, engineering, and physics, to describe and analyze relationships between quantities. For example, in finance, ratios are used to measure a company's financial performance, such as its profitability, liquidity, and debt-to-equity ratios. In engineering, ratios are used to describe the relationship between the size and power of a machine, such as the gear ratio in a car's transmission.

In general, ratios are useful for comparing quantities and understanding the relationships between them, and they play a key role in many aspects of mathematics and science.

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