What is the Break Even in Sales

What Is The Break Even In Sales

Answers

Answer 1

The dollar amount of each type of candle that must be sold to break even is birthday candles for $177111, standard tapered candles for $236148 and large scented candles for $177111.

What is meant by break-even period?

In business accounting, the break-even point refers to the amount of revenue necessary to cover the total fixed and variable expenses incurred by a company within a specified time period.

Given that, the sales mix of its three product lines is birthday candles 30%, standard tapered candles 40% and large scented candles 30%.

The company's fixed costs are $590,370 per year.

Birthday candles 30%

Now, 30% of 590,370

30/100 ×590,370

= 0.3×590,370

= $177111

Standard tapered candles 40%

Now, 40% of 590,370

40/100 ×590,370

= 0.4×590,370

= $236148

Large scented candles 30%

Now, 30% of 590,370

30/100 ×590,370

= 0.3×590,370

= $177111

Therefore, the dollar amount of each type of candle that must be sold to break even is birthday candles for $177111, standard tapered candles for $236148 and large scented candles for $177111.

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Related Questions

Original price of an SUV: $34,400.00
Discount: 25%

Answers

Step-by-step explanation:

Step 1- convert 25% into a decimal

Step 2- Multiply 34,400.00 x 0.25

            Which should give you $8600.00

Step 3- Then subtract 34,400.00 from 8600.00

              Which will give you $25800.0

The The thing to remember is Multiply with the discount then subtract your answer from the original price of the item.

Hope This Helps !!

find the HCF by prime factorization method 60 and 75​

Answers

HCF=15

Hope it helps you...

find the HCF by prime factorization method 60 and 75

Balance of -$450, deposit $900 then withdraw $300

Answers

Answer:

$150

Step-by-step explanation:

Amount of money in the end

= -$450 + $900 - $300

= $150

Se tiene 10 fichas, las 5 primeras de color
azul numeradas del 1 al 5 y las 5 restantes
blancas también numeradas del 1 al 5. Se
colocan en una caja sacando una ficha y
posteriormente otra más, entonces la
probabilidad de que ambas estén
numeradas con el valor 1, es:

Answers

Usando la distribución hipergeométrica,  la probabilidad de que ambas estén numeradas con el valor 1, es: 0.0222 = 2.22%.

¿Qué es la fórmula de distribución hipergeométrica?

La fórmula es:

\(P(X = x) = h(x,N,n,k) = \frac{C_{k,x}C_{N-k,n-x}}{C_{N,n}}\)

\(C_{n,x} = \frac{n!}{x!(n-x)!}\)

Los parámetros son:

x es el número de éxitos.N es el tamaño de la población.n es el tamaño de la muestra.k es el número total de resultados deseados.

Los valores de los parámetros son:

N = 10, k = 2, n = 2.

La probabilidad de que ambas estén numeradas con el valor 1, es P(X = 2), entonces:

\(P(X = x) = h(x,N,n,k) = \frac{C_{k,x}C_{N-k,n-x}}{C_{N,n}}\)

\(P(X = 2) = h(2,10,2,2) = \frac{C_{2,2}C_{8,0}}{C_{10,2}} = 0.0222\)

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Find the common difference of the arithmetic sequence: { 8, 5, 2, -1, -4, ...}

d=

Answers

Answer:

d=3

Step-by-step explanation:

because

8-5=3

5-2=3

2--1=3

-1--4=3

What is the volume of the prism 2.4in 1.5in 8in

Answers

Answer:

The answer is 28.8, When finding the Volume of a shape, you multiply all numbers.

Bill walks 4 miles east, 5 miles north, and 7 miles west. How many miles is he, in a direct line, from his starting point?

Answers

Answer:

  5.83 miles

Step-by-step explanation:

Bill's net distance west of his starting point is -4+7 = 3 miles. His net distance north of his starting point is 5 miles. The straight-line distance will be the hypotenuse of a right triangle with legs 3 miles and 5 miles. That distance is given by the Pythagorean theorem:

  d² = (3 mi)² +(5 mi)² = 34 mi²

  d = √34 mi ≈ 5.83 mi

Bill is 5.83 miles on a direct line from his starting point.

_____

The attached calculator screenshot shows the sum of the travel distances. The angles are bearings measured clockwise from north. The angle of the sum indicates Bill is about 31° west of north relative to his starting point.

Bill walks 4 miles east, 5 miles north, and 7 miles west. How many miles is he, in a direct line, from

Mabel bought b bags of beans. There are 15 beans in each bag. Write an expression that shows how many beans Mabel bought.

Answers

Answer:

y= x+15

Step-by-step explanation:

I think that will be your equation

The coordinates of the vertices of DEF are D(2,3), E(4,0), and F(1,−2). The coordinates of the vertices of TVW are T(0,3), V(−2,0), and W(1,−2).

Answers

Answer:

To find the equation of the line containing the segment DE, we can use the coordinates of D and E to find the slope:

slope = (change in y) / (change in x) = (0 - 3) / (4 - 2) = -3/2

We can use the point-slope form of the equation of a line, using either D or E as the point:

y - 3 = (-3/2)(x - 2)

Simplifying this equation, we get:

y = (-3/2)x + 6

Similarly, to find the equation of the line containing the segment EF, we can find the slope using the coordinates of E and F:

slope = (change in y) / (change in x) = (-2 - 0) / (1 - 4) = 2/3

Using either E or F as the point, we can write the equation in point-slope form:

y - 0 = (2/3)(x - 4)

Simplifying, we get:

y = (2/3)x - (8/3)

To find the equation of the line containing the segment TV, we can find the slope using the coordinates of T and V:

slope = (change in y) / (change in x) = (0 - 3) / (-2 - 0) = 3/2

Using either T or V as the point, we can write the equation in point-slope form:

y - 3 = (3/2)(x - 0)

Simplifying, we get:

y = (3/2)x + 3

Finally, to find the equation of the line containing the segment VW, we can find the slope using the coordinates of V and W:

slope = (change in y) / (change in x) = (-2 - 0) / (1 - (-2)) = -2/3

Using either V or W as the point, we can write the equation in point-slope form:

y - 0 = (-2/3)(x - (-2))

Simplifying, we get:

y = (-2/3)x + (4/3)

Answer:

are reflection across the y-axis and translation 2 units right.

Step-by-step explanation:

What is the equation of a line whose slope is 2 and passes through the point (-6,9)

Answers

Answer:

y = 2x + 21

Step-by-step explanation:

Step 1: Write out known variables

y = mx + b

m = 2

y = 2x + b

Step 2: Find b

9 = 2(-6) + b

9 = -12 + b

b = 21

Step 3: Rewrite linear equation

y = 2x + 21

Which number is not in the solution set of x-6>10?

Answers

Answer:

options?

Step-by-step explanation:

It would be any number that is less than 16 because starting with the original question:

x-6>10

By canceling out the -6:

x-6+6 > 10+6

x > 16

pls help im trying to pass ill give the most points

pls help im trying to pass ill give the most points

Answers

The required final answers of mixed fractions are 665/48, 259/45, 6095 / 28, 67/10.

What are Operation?

Calculating a value using operands and a math operator is referred to as performing a mathematical "operation." The math operator's symbol has predetermined rules that must be applied to the supplied operands or numbers.

According to question:

This expression can be evaluated by converting the mixed fraction to improper fractions and then performing the arithmetic operations.

1. \(2\frac{1}{3} +5\frac{5}{16} + \frac{2}{7}\)

= 7/3 + 85/16 + 2/7

=  665/48.

2. \(9\frac{5}{9} - 3\frac{2}{5}\)

= 86/9 - 17/5

= 259/45.

3. \(16\frac{3}{7} *13\frac{1}{4}\)

= 115/7 * 53/4

= 6095 / 28

4. \(16\frac{3}{4}\) ÷ \(2\frac{1}{2}\)

= 67/4 ÷ 5/2

= 67/10

Thus, required answers are 665/48, 259/45, 6095 / 28, 67/10.

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1. Work out these calculations
104 divide to 4 =
168 divide to 7 =
342 divide to 6 =
423 divide to 9 =
472 divide to 8 =
305 divide to 5 =
112 divide to 7 =
207 divide to 9 =
2. Work out these division calculations with their remainders (e.g.: 25r1)
351 divide to 6 =
509 divide to 9 =
398 divide to 8 =
375 divide to 4 =
436 divide to 7 =
296 divide to 3 =
254 divide to 9 =
345 divide to 6 =
396 divide to 7 =
964 divide to 5 =
231 divide to 4 =
3. What is the missing digit?
?7 x 9 = 333

Answers

Answer:

1:

26

24

57

47

59

61

16

23

2:

58.5

56.556

49.75

93.75

62.2857142857

98.667

28.223

57.5

56.5714285714

19.28

57.75

Answer:

100r1

Step-by-step explanation:

What is the M.A.D. (mean absolute deviation) of the following data set?
8 9 9 7 8 6 9 8

Answers

The mean absolute deviation is 0.75

How to determine the mean absolute deviation

To calculate the mean absolute deviation (M.A.D.), you need to find the average of the absolute differences between each data point and the mean of the data set

From the information given, we have that the data set is;

8 9 9 7 8 6 9 8

Let's calculate the mean, we get;

Mean = (8 + 9 + 9 + 7 + 8 + 6 + 9 + 8) / 8

Mean = 64 / 8

Divide the values

Mean = 8

Let's determine the absolute difference, we get;

Absolute differences=

|8 - 8| = 0

|9 - 8| = 1

|9 - 8| = 1

|7 - 8| = 1

|8 - 8| = 0

|6 - 8| = 2

|9 - 8| = 1

|8 - 8| = 0

Find the mean of the absolute differences:

Average of absolute differences = (0 + 1 + 1 + 1 + 0 + 2 + 1 + 0) / 8

Absolute difference = 6 / 8 = 0.75

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Which term can be added to the list so that the greatest common factor of the three terms is 12h3?

36h3, 12h6, __________

Answers

The term that can be added to the list so that the greatest common factor of the three terms  12h3 36h3, 12h6, is 48h5

How can the term be known?

A group of numbers' greatest common factor (GCF) is the biggest factor that all the numbers have in common. For instance, 12, 20, and 24 all share two characteristics.

The term that  can fit in to the list so the GCF is 12h3 would be 48h5, this is so because 48 is first divisible by 12  without any  fraction, and we can remove upon dividing 3 h's from this term as it contains a total of 5 h's.

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Which one is the correct answer

Which one is the correct answer

Answers

Answer:

3,5

Step-by-step explanation:

(Giving brainliest and 40 points)

(Giving brainliest and 40 points)

Answers

Answer:

1360 m³

Step-by-step explanation:

To determine the volume of a compound 3D shape, divide the 3D shape into multiple 3D known shapes. Then, determine the volume of those "3D known shapes" and sum them up to determine the volume (figure).

In this figure, we can see two cuboids forming the figure. Therefore,

⇒ V (Figure) = V (Cuboid₁) + V (Cuboid₂)

The formula to determine the volume of a cuboid is the measure of the length, multiplied to the product of the width and the height.

⇒ V (Cuboid) = L × (W × H)   or   L × W × H

Therefore, the volume of cuboid₁ is;

⇒ V (Figure) = [L (Cuboid₁) × W (Cuboid₁) × H (Cuboid₁)] + V (Cuboid₂)

When we substitute the dimensions of the cuboid₁ , we get;

⇒ V (Figure) = [8 × 5 × 22] + V (Cuboid₂)

Which when simplified, we get;

⇒ V (Figure) = [880] + V (Cuboid₂)

The same should be done to cuboid₂. Therefore,

⇒ V (Figure) = [880] + [L (Cuboid₂) × W (Cuboid₂) × H (Cuboid₂)]

When we substitute the measures in the equation, we get;

⇒ V (Figure) = [880] + [8 × 5 × 12]

Which when simplified, we get;

⇒ V (Figure) = [880] + [40 × 12]

⇒ V (Figure) = [880] + [480]

⇒ V (Figure) = 1360 m³

Therefore, the volume of the figure is 1360 m³.

SLOPE DIGITAL ESCAPE ROOM
I need help finding the code

SLOPE DIGITAL ESCAPE ROOM I need help finding the code

Answers

By finding all the four slopes, we can see that the word is ECHA.

How to find the word?

We know that the general linear equation can be written as:

y = a*x + b

Where a is the slope and b is the y-intercept.

We know that if the line passes through (x₁, y₁) and (x₂, y₂) then the slope is:

s = (y₂ - y₁)/(x₂ - x₁)

With that formula we can get the slopes.

1) Using the points (0, 3) and (2, 4).

m = (4 - 3)/(2 - 0) = 1/2, so the letter is E.

2)Using (-1, -12) and (1, -8)

m = (-8 + 12)/(1 + 1) = 4/2 = 2, so the letter is C.

3) We have (2, -6) and (-4, -3) so:

m = (-3 + 6)/(-4 - 2) = 3/-6 = -1/2, so the letter is H

4)we can use the points (0, 3) and (1, 1), so:

m = (1 - 3)/(1 - 0) = -2, so the letter is A

Then the word is ECHA

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Solve the two simultaneous equations.
You must show all your working.
3t+2p=15.5
5t+4p=28.5

Answers

Answer:

Given equations are,

5x+2y=−2        (1)

3x−5y=17.4      (2)

Multiply equation (1) by 5 and equation (2) by 2, we get,

5(5x+2y)=5×−2

∴25x+10y=−10          (3)

2(3x−5y)=2×17.4

∴6x−10y=34.8          (4)

Adding equations (3) and (4), we get,

31x=24.8

∴x=

31

24.8

Put this value in equation (1), we get,

5(

31

24.8

)+2y=−2

31

124

+2y=−2

∴2y=−2−

31

124

∴2y=

31

−186

∴y=

31

−93

Step-by-step explanation:

What is the domain of the square root function graphed below?

What is the domain of the square root function graphed below?

Answers

X is greater than or equal to 1.

Plzzz guys help me ;( F(x)-mx+ b, f(-2)=3 and f(4)=1 , what is the value of m and b

Answers

Answer:

Plzzz guys help me ;( F(x)-mx+ b, f(-2)=3 and f(4)=1 , what is the value of m and

Find the value of f(-2) for the function f(x) = 4x + 10.
A. -3
B. -2
C. 2
D. 18​

Find the value of f(-2) for the function f(x) = 4x + 10. A. -3 B. -2 C. 2D. 18

Answers

Answer:

C

Step-by-step explanation:

f(x) = 4x+10

f(-2) = 4(-2)+10 = 2

Answer:

b

Step-by-step explanation:

f(-2)  = 4(-2)+10

            = -2

suppose that dr. sameer surveys a random sample of 100 cal poly students, and for this sample the mean number of hours per day spent watching tv turns out to be 3.0 hours.

Answers

The number 3.01 is a statistic, the symbol for the number 3.01 is μ_hat; and To conduct a simulation-based test of significance, we need to compare the observed mean (3.01 hours) with the hypothesized mean (2.75 hours).

The number 3.01 is a statistic.

The symbol for the mean number of hours per day spent watching TV for the sample of 100 Cal Poly students is μ_hat.

To conduct a simulation-based test of significance, we need to compare the observed mean (3.01 hours) with the hypothesized mean (2.75 hours). The null hypothesis is that the population mean (μ) is equal to 2.75 hours, and the alternative hypothesis is that the population mean is not equal to 2.75 hours.

Steps to find p-value:

1. Calculate the difference between the observed mean and the hypothesized mean: d = μ_hat - 2.75 hours

2. Generate a large number of random samples with the same sample size as the original sample, and calculate the mean of each sample.

3. Calculate the difference between the mean of each sample and the hypothesized mean and store the values in a list.

4. Count the number of differences that are equal to or greater than the difference between the observed mean and the hypothesized mean (d).

5. Divide the count by the total number of simulations to get the p-value. This gives us the probability of getting a sample mean equal to or greater than the observed mean if the null hypothesis is true.

6. Compare the p-value with the significance level (α) to determine whether to reject or fail to reject the null hypothesis. If the p-value is less than α, we reject the null hypothesis and conclude that the data provide evidence that the average number of hours per day Cal Poly students spending the time watching TV is different from 2.75 hours.

If the p-value is greater than α, we fail to reject the null hypothesis and conclude that there is not enough evidence to suggest that the average number of hours per day Cal Poly students spending the time watching TV is different from 2.75 hours.

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--The given question is incomplete; the complete question is

"Reconsider Dr Sameer's research question about how much time Cal Poly students spend watching television. Suppose that Dr Sameer surveys a random sample of 100 Cal Poly students, and for this sample, the mean number of hours per day spent watching TV turns out to be 3.01 hours.

1. Is the number 3.01 a parameter or a statistic?

2. Assign an appropriate symbol to the number 3.01.

3. Describe how you can conduct a simulation‐based test of significance to investigate whether the data provide evidence that the average number of hours per day Cal Poly students spend watching TV is different from 2.75 hours. Be sure to provide details on how one would find a p‐value."--

The Pythagorean Theorem can be used to find missing side lengths of any type of triangle.

Answers

Answer:

False, it can only be used for Right Triangles.

Step-by-step explanation:

Answer:

false

Step-by-step explanation:

81 x

3y + 72x
2y
2 + 16xy
3

Answers

Answer:

Step 1 :Equation at the end of step 1

 ((81•(x4))-((72•(x2))•(y2)))+24y4

Step 2 :

Equation at the end of step 2 :

 ((81 • (x4)) -  ((23•32x2) • y2)) +  24y4

Step 3 :

Equation at the end of step 3 :

 (34x4 -  (23•32x2y2)) +  24y4

Step 4 :Trying to factor a multi variable polynomial

4.1    Factoring    81x4 - 72x2y2 + 16y4

Try to factor this multi-variable trinomial using trial and error

Found a factorization  :  (9x2 - 4y2)•(9x2 - 4y2)

Detecting a perfect square :

4.2    81x4  -72x2y2  +16y4  is a perfect square

It factors into  (9x2-4y2)•(9x2-4y2)

which is another way of writing  (9x2-4y2)2

How to recognize a perfect square trinomial:  

• It has three terms  

• Two of its terms are perfect squares themselves  

• The remaining term is twice the product of the square roots of the other two terms

Trying to factor as a Difference of Squares:

4.3      Factoring:  9x2-4y2

Put the exponent aside, try to factor  9x2-4y2

Theory : A difference of two perfect squares,  A2 - B2  can be factored into  (A+B) • (A-B)

Proof :  (A+B) • (A-B) =

        A2 - AB + BA - B2 =

        A2 - AB + AB - B2 =

        A2 - B2

Note :  AB = BA is the commutative property of multiplication.

Note :  - AB + AB equals zero and is therefore eliminated from the expression.

Check :  9  is the square of  3

Check : 4 is the square of 2

Check :  x2  is the square of  x1

Check :  y2  is the square of  y1

Factorization is :       (3x + 2y)  •  (3x - 2y)

Raise to the exponent which was put aside

Factorization becomes :   (3x + 2y)2   •  (3x - 2y)2  

Final result :

 (3x + 2y)2 • (3x - 2y)2

Step-by-step explanation:

Answer:

81x+16y

should be the correct one

need help quick, ez question ​
will give brainliest

need help quick, ez question will give brainliest

Answers

The volume of the given triangular prism is 384 cm³.

What is the volume?

Volume is the measure of the capacity that an object holds.

Formula to find the volume of the object is Volume = Area of a base × Height.

Here, the area of the base is

Area of a rectangle = 1/2 ×Base×Height

= 1/2 ×12×4

= 24 cm²

Now the volume is 24×16

= 384 cm³

Therefore, the volume of the given triangular prism is 384 cm³.

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Find a reasonably simple series with a tail that is thicker than the tail of the given series.Σ 1n × >> Σ (1/2)n

Answers

Reasonably simple series with a tail that is thicker than the tail of the given Σ 1n × >> Σ (1/2), Σ (1/3)^n has a thicker tail than Σ (1/2)^n.

One possible series with a thicker tail than Σ (1/2)^n is the series Σ (1/3)^n, which can be written as:

1 + 1/3 + 1/9 + 1/27 + 1/81 + ...

To see that this series has a thicker tail than Σ (1/2)^n, we can compare the nth terms of the two series:

(1/2)^n = 1/2 × 1/2 × ... × 1/2 (n factors)

(1/3)^n = 1/3 × 1/3 × ... × 1/3 (n factors)

Since 1/2 > 1/3, the nth term of Σ (1/2)^n is greater than the nth term of Σ (1/3)^n for all n. However, the sum of the first k terms of Σ (1/3)^n is:

1 + 1/3 + 1/9 + ... + (1/3)^k

= (1 - (1/3)^k) / (1 - 1/3)

= (3/2) (1 - (1/3)^k)

which approaches 3/2 as k approaches infinity. In contrast, the sum of the first k terms of Σ (1/2)^n is:

1 + 1/2 + 1/4 + ... + (1/2)^k

= (1 - (1/2)^(k+1)) / (1 - 1/2)

= 2 (1 - (1/2)^(k+1))

which approaches 2 as k approaches infinity. Therefore, the series Σ (1/3)^n has a thicker tail than Σ (1/2)^n.

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Use the two given functions to write y as a function of x.
y = -3a + 3, a = -5x + 1

Answers

Answer:

Step-by-step explanation:

To write y as a function of x using the given functions, we can substitute the value of "a" in the first equation with the expression "-5x + 1" from the second equation.

Given:

y = -3a + 3

a = -5x + 1

Substituting the value of "a" in the first equation:

y = -3(-5x + 1) + 3

Now, let's simplify this expression:

y = 15x - 3 + 3

y = 15x

Therefore, y can be expressed as a function of x as:

y = 15x

which is larger
8/k^2+2 and k^2+2

Answers

Answer:

Step-by-step explanation:

d e e z n u t z

A football stadium holds 5000 people.
On a match day z of the stadium is full.
40% of the children are girls.
The ratio of adults to children is 2:3
How many of the children attending are boys?

Can someone plz help me with this

Answers

Answer:

1000 children

Step-by-step explanation:

Find the total units of adults and children = 2 + 3 = 5

5 units = 5000

1 unit = 5000 ÷ 5 = 1000

100% ÷ 5 units = 20% each unit

3 units = 20% x 3 = 60%

Since we all know that 60% of the people are children and 40% of the children are girls...

60 - 40 = 20%

20% = 1000

Other Questions
The chemical composition of iron and steel can be adjusted by varying the following factors. 2. Steel identifying numbers are shown as a four-five digit number. Identify the role of each digit. a. First number - class of steel b. Next 1 or 2 numbers (digit 2 and 3 ) = c. Next 12 numbers (digit 4 and 5) read the excerpt from "we are determined not to sell our lands" which is the central idea of this excerpt? Tribes have too little and left to live on. White settlers have not dealt honorably with Indigenous tribes. The U.S government did not keep accurate records of land sales. Money for the land sales sold went to only some of the tribes. Refer to the accompanying data set and construct a % confidence interval estimate of the mean pulse rate of adult females; then do the same for adult males. Compare the results. Click the icon to view the pulse rates for adult females and adult males. Construct a % confidence interval of the mean pulse rate for adult females. nothing bpm nothing bpm (Round to one decimal place as needed.) Construct a % confidence interval of the mean pulse rate for adult males. nothing bpm nothing bpm (Round to one decimal place as needed.) Compare the results. A. The confidence intervals overlap, so it appears that there is no significant difference in mean pulse rates between adult females and adult males. B. The confidence intervals overlap, so it appears that adult males have a significantly higher mean pulse rate than adult females. C. The confidence intervals do not overlap, so it appears that adult females have a significantly higher mean pulse rate than adult males. D. The confidence intervals do not overlap, so it appears that there is no significant difference in mean pulse rates between adult females and adult males. Describe how a convection cell is created in the mantle of the Earth. During the middle and late childhood years, children gain about ______ pounds a year. Which point-of-view is this an example of?As I walked up to the steps to the old Smith house, I couldn't help thinking that this would turn out badly. No one had gone into that house for over 15 years. My heart thumped in my chest. I would certainly have a story to tell when I got home. IF I got home.Group of answer choicesfirst personthird person limitedthird person omniscient 7x31=???????????????? Question 4 of 20Hydrogen is found as a gas on Earth but exists in all four states in the solarsystem. Four samples of hydrogen have equal masses but are each in adifferent state. Which statement about the relative amounts of thermalenergy in the samples is true?A. The sample of solid has less energy than the sample of gas.B. The sample of gas has more energy than the sample of plasma.C. The sample of solid has more energy than the sample of gas.D. The sample of liquid has less energy than the sample of solid. Find the value to make the equation true1) ?/1 = 14/17 Aluminum sells for $0.35 per meter. How much does a piece of aluminum 5.12 kilometers long cost? if you own 100 shares of air line inc. at $42.50, 250 shares of buyrite at $53.25, and 350 shares of motorcity at $7.75, what are the portfolio weights of each stock? air line The function y=f(x is graphed below. What is the average rate of change of the function f(x)on the interval 0x5? The area of a circle, in terms of, is 80m2. Find the value of the radius. Give your answer as a simplified surd.please helppp Given the function f(x) = x - 10, what is the corresponding value when x = -12? * an essay on the nigerianization of nigeria branden doyle is reviewing the principle of segregation of duties. what are the two common applications of this principle? Which three important events in the story should be included in its summary?adapted from The Glass Axeby Andrew LangThere was once upon a time a King and Queen who had everything they could possibly wish for in this world except a child. At last, after twelve years, the Queen gave birth to a son; but she did not live long to enjoy her happiness, for on the following day she died. But before her death she called her husband to her and said, "Never let the child put his feet on the ground, for as soon as he does so he will fall into the power of a wicked Fairy, who will do him much harm." And these were the last words the poor Queen spoke.The boy throve and grew big, and when he was too heavy for his nurse to carry, a chair was made for him on little wheels, in which he could wander through the palace gardens without help; at other times he was carried about on a litter, and he was always carefully watched and guarded for fear he should at any time put his feet to the ground.But as this sort of life was bad for his health, the doctors ordered him horse exercise, and he soon became a first-rate rider and used to go out for long excursions on horseback, accompanied always by his father's stud-groom and a numerous retinue.Every day he rode through the neighboring fields and woods, and always returned home in the evening safe and well. In this way many years passed, and the Prince grew to manhood, and hardly anyone remembered the Queen's warning, though precautions were still taken, more from use and won't than for any other reason. One day the Prince and his suite went out for a ride in a wood where his father sometimes held a hunt. Their way led through a stream whose banks were overgrown with thick brushwood. Just as the horsemen were about to ford the river, a hare, startled by the sound of the horses' hoofs, started up from the grass and ran towards the thicket. The young Prince pursued the little creature and had almost overtaken it when the girth of his saddle suddenly broke in two and he fell heavily to the ground.No sooner had his foot touched the earth than he disappeared before the eyes of the horrified courtiers.They sought for him far and near, but all in vain, and they were forced to recognize the power of the evil Fairy. . . .Hardly had the Prince touched the ground than he felt violently seized by an unseen power and hurried away he knew not whither. A whole new world stretched out before him, quite unlike the one he had left. A splendid castle surrounded by a huge lake was the abode of the Fairy, and the only approach to it was over a bridge of clouds. On the other side of the lake high mountains rose up, and dark woods stretched along the banks; over all hung a thick mist, and deep silence reigned everywhere.No sooner had the Fairy reached her own domain than she made herself visible, and turning to the Prince she told him that unless he obeyed all her commands down to the minutest detail he would be severely punished. Then she gave him an ax made of glass and bade him cross the bridge of clouds and go into the wood beyond and cut down all the trees there before sunset. At the same time, she cautioned him with many angry words against speaking to a girl he would most likely meet in the wood. The Prince listened to her words meekly, and when she had finished took up the glass axe and set out for the forest. At every step he seemed to sink into the clouds, but fear gave wings to his feet, and he crossed the lake in safety and set to work at once.A. There was once upon a time a King and Queen who had everything they could possibly wish for in this world except a child.B. "Never let the child put his feet on the ground, for as soon as he does so he will fall into the power of a wicked Fairy, who will do him much harm."C. Just as the horsemen were about to ford the river, a hare, startled by the sound of the horses' hoofs, started up from the grass and ran towards the thicket.D. No sooner had his foot touched the earth than he disappeared before the eyes of the horrified courtiers.E. On the other side of the lake high mountains rose up, and dark woods stretched along the banks; over all hung a thick mist, and deep silence reigned everywhere.F. Then she gave him an axe made of glass and bade him cross the bridge of clouds and go into the wood beyond and cut down all the trees there before sunset. There are 791791 identical plastic chips numbered 11 through 791791 in a box. What is the probability of reaching into the box and randomly drawing a chip number that is smaller than 517517? Express your answer as a simplified fraction or a decimal rounded to four decimal places. 5.Consider the complex number iv3.5aWhat is the real part?What is the imaginary part?Beate your next step hereX+(b - "For example," "however," and "also" are examples of:Hchl bc c jgdhsv