Arthur crafts miniature chocolate dollhouses which he sells for $24 each. arthur has calculated the breakeven level of revenues for his business at $1,720 of sales. the dollhouses have a variable cost of $12 to produce per unit. what are arthur's fixed costs?

The length of AG=8.5 cm that is diagonal. There are four body diagonals of cuboid and twelve face diagonals. A body diagonal is referred to as the diagonal of cuboid. The diagonal of cuboid formula is √(l² + b² + h²) units.

A cuboid is a six-sided solid known as a hexahedron in geometry. Quadrilaterals make up its faces. Cuboid means "like a cube," in the sense that a cuboid can be converted into a cube by varying the length of its edges or the angles between its faces.

A diagonal in geometry is a line segment that connects two polygonal vertices when they are not on the same edge. Any sloping line is known as a diagonal informally.

A, B, C, D, E, F, G & H form a cuboid. AB= 3.2 cm, BC = 1.6 cm & CG = 7.7 cm. That is l=3.2 cm, b=1.6 cm, h=7.7 cm.

√(l² + b² + h²) units.

=√(3.2²+1.6²+7.7²)

=8.49 cm

≈8.5 cm

A body diagonal is referred to as the diagonal of cuboid. The diagonal of cuboid formula is √(l² + b² + h²) units. The length of AG=8.5 cm that is diagonal. There are four body diagonals of cuboid and twelve face diagonals.

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Radius of the cone is 8.75mm.

Volume is a mathematical term used to describe how much three-dimensional space an item or closed surface occupies. Volume is measured in cubic units like m³, cm³, in³, etc. Each thing in three dimensions takes up some space. The volume of this area is what is being measured. The space occupied within an object's borders in three dimensions is referred to as its volume. It is sometimes referred to as the object's capacity.

Given Data

Volume = 1526.81 mm³

Height = 19mm

Formula of volume of cone:

V= [tex]\frac{1}{3}[/tex]πr²h

Equating values,

1526.81 = [tex]\frac{1}{3}[/tex]×[tex]\frac{22}{7}[/tex]r²×19

[tex]\frac{1526.81(3)(7)}{22(19)}[/tex] = r²

76.7 = r²

r = 8.75

So,

Radius of the cone is 8.75mm.

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Answer:

$2,150

Step-by-step explanation:

We are given that Kesha is an hourly worker, is paid bi-weekly, and her wage is $25.

We are also told that she works 40 hours a week (derived from 8 hours a day for 5 days a week) and that she works 4 hours every other Saturday at time-and-a-half pay.

We are asked to find Kesha's gross income on her pay stub.

First, determine her weekly wage by multiplying her hourly wage by the number of hours she works each week:

[tex]\$25 \times 40 = \$1,000[/tex]

Then, multiply this value by 2 since Kesha is paid bi-weekly (twice a month):

[tex]\$1,000 \times 2 = \$2,000[/tex]

Then, determine her time-and-a-half pay by first multiplying her hourly wage by 1.5:

[tex]\$25 \times 1.5 =\$37.50[/tex]

Then, multiply this value by 4 to represent the hours she works every other Saturday:

[tex]\$37.50 \times 4 = \$150[/tex]

NOTE: Since "every other Saturday" means twice a month, this is the same definition as bi-weekly. Therefore, no adjustments need to be made to this value.

Finally, add her time-and-a-half pay to her bi-weekly pay:

[tex]\$2,000 + \$150 = \$2,150[/tex]

Therefore, Kesha's gross income on her pay stub is $2,150.

Answer:

4629= (4×1000)+(6x100)+(2x10)+(9×1)=4000+600+20+9

8338=(8 x 1000)+ (3x100)+(3×10)+(8x1)=8000+300+30+8

Step-by-step explanation:

separate each number and multiply by the place its in

5th p

5th 5248987 5th 5668746i89

The equation in slope-intercept form that represents the situation is y = 4x - 160.

Given,

At 59°F, crickets chirp at a rate of 76 times/minute

At 65°F crickets chirp at a rate of 100 times/minute

We have to write an equation in slope-intercept form:

Here,

(x₁, y₁) = (59, 76)

(x₂, y₂) = (65, 100)

Lets find the slope.

m = (y₂ - y₁) / (x₂ - x₁)

m = (100 - 76) / (65 - 59)

m = 24/6

m = 4

That is, the slope is 4.

Now, substitute this in the slope-intercept form:

y = mx + b

100 = 4 × 65 + b

100 = 260 + b

b = -260 + 100

b = -160

Therefore, the equation in slope-intercept form that represents the situation is y = 4x - 160.

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Answer:

3/7

Step-by-step explanation:

Answer:

165 miles

Step-by-step explanation:

part 1

231/7=33mpg

33×5 =165 miles

part 2

distance/mpg= gas used

for example: if you were told he went 200 miles,

200/33= 6.06 gallons of gas

Answer:

yes correct . your solution is correct

Answer:

6.5 × 10^9 kg

Step-by-step explanation:

Here is the answer to the question the way it is asked, but the question is ridiculous. 1 kernel of popcorn has a mass of perhaps 1.5 g, so 1.25 g is reasonable. That means 1 kernel has a mass of 0.00125 kg, or 1.25 × 10^-3 kg. To state that 1 kernel of popcorn has a mass of 1.25 × 10^1 means that a kernel of popcorn has a mass of 12.5 kg which corresponds to a weight of approximately 27.6 lb. That is just ridiculous.

Using the ridiculous information given in the problem, then if 1 kernel has a mass of 1.25 × 10^1 kg, then 5.2 × 10^8 kernels have a mass of

(1.25 × 10^1 kg) × (5.2 × 10^8) =

= (1.25 × 5.2) × (10^1 × 10^8) kg

= 6.5 × 10^9 kg

Your number is correct, but don't forget the units.

To divide two fractions, simply cross-multiply as following:

bring the fractions to a common denominator

GOOD LUCK! ????????????????????????????????????????????????????????????????????????????????////

Answer:

50

Step-by-step explanation:

25x2=50

300-50=250

250/5=50

50 ribbons needed :) hope this helped

The coordinates of the image of polygon A'B'C'D' after a translation of 4 units down and 5 units right would be A' (-1, 1), B' (-1, -2), C' (3, -2), D' (3, 2).

In Geometry, the translation of a geometric figure to the right simply means subtracting a digit from the value on the x-coordinate (x-axis) of the pre-image and translating a geometric figure down simply means subtracting a digit from the value on the y-coordinate (y-axis) of the pre-image.

By translating the pre-image of polygon ABCD vertically down 4 units and horizontally right 5 units, the coordinates of the image of polygon A'B'C'D' include the following:

(x, y)                               →                  (x + 5, y - 4)

Coordinate A = (-6, 5)   →    Coordinate A' (-6 + 5, 5 - 4) = (-1, 1)

Coordinate B = (-6, 2)   →    Coordinate B' = (-6 + 5, 2 - 4) = (-1, -2)

Coordinate C = (-2, 2)   →     Coordinate C' = (-2 + 5, 2 - 4) = (3, -2)

Coordinate D = (-2, 6)   →     Coordinate D' = (-2 + 5, 6 - 4) = (3, 2)

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The values of x and y in the functions are

Function 1

This is given as

y = 6x + 8

When x = -6, we have

y = 6 x -6 + 8

Evaluate

y = -28

When the equation y = 20, we have

20 = 6x + 8

Evaluate the like terms in the above function

6x = 12

Divide by 6

x = 2

Function 2

This is given as

y = 2/3x

When x = -6, we have

y = 2/3 x -6

Evaluate

y = -4

When the equation y = 20, we have

20 = 2/3x

Evaluate the like terms in the above function

20 = 2/3x

Divide by 2/3

x = 30

Function 3

This is given as

y = -x + 5

When x = -6, we have

y = -6 + 5

Evaluate

y = -1

When the equation y = 20, we have

20 = -x + 5

Evaluate the like terms in the above function

x = -15

Function 4

This is given as

y = 6.5x + 7

When x = -6, we have

y = 6.5 x -6 + 7

Evaluate

y = -32

When the equation y = 20, we have

20 = 6.5x + 7

Evaluate the like terms in the above function

6.5x = 13

Divide by 6.5

x = 2

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The parallel street to that one lines on the equation y = 2x -1

To find the parallel street to the one we have the points given, we have to first of all, find the slope of the given point and then pick a coordinate.

Using the value above, let's find the slope of the line.

[tex]m = \frac{y_2 - y_1}{x_2 - x_1} \\[/tex]

Let's substitute the values into the equation and solve.

[tex]m = \frac{y_2 - y_1}{x_2 - x_1} \\\\m = \frac{9 - (-5)}{5 - (-2)} \\m = \frac{14}{7} \\m = 2[/tex]

The slope of the line is equal to 2.

Let's use this to find the equation of the line

[tex]y = mx + c[/tex]

Using one of the points,

[tex]y = mx + c\\9 = 2(5) + c\\9 = 10 + c\\c = - 1\\[/tex]

The equation of the line is

[tex]y = 2x - 1[/tex]

From the calculation above, the equation of the line is y = 2x - 1

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The area of the rectangle is  calculated by L*B

The area of the rectangle is 10.875 yards^2.

l = 58/ 8 yd = 7.25yd

b = 1 1/2 yd = 1.5yd

Solution:

The area of the rectangle is  calculated by L*B

Therefore,

L*B =  7.25* 1.5

= 10.875 yards^2.

The area of the rectangle is 10.875 yards^2.

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A kite contains four inner angles, which add up to 360 degrees. It has one pair of equal and opposite obtuse angles in each of these angles.

Answer:

∠D = 94°

Step-by-step explanation:

A kite is a quadrilateral.  

Therefore, the sum of its interior angles is 360°.

⇒ ∠A + ∠B + ∠C + ∠D = 360°

⇒ 108° + ∠B + 64° + ∠D = 360°

⇒ 172° + ∠B + ∠D = 360°

⇒ ∠B + ∠D = 188°

A kite has one pair of opposite (obtuse) angles that are equal.

Therefore, ∠D = ∠B.

⇒ ∠B + ∠D = 188°

⇒ ∠D + ∠D = 188°

⇒ 2∠D = 188°

⇒ ∠D = 94°

Answer:

The slope of the line is 4/3

Step-by-step explanation:

slope = rise/run = y2-y1/x2-x1

1-(-3)/8-5 = 4/3

The slope of the line is 4/3

Answer:

Y-intercept is 4

Step-by-step explanation:

due to X and Y lines it would be 4 lol

Have a good day

Answer:

It is 4

Step-by-step explanation:

The line intercepts the y axis at 4

Mark me as brainliest

Answer: 5,723.19

Step-by-step explanation:

to find the answer you subtract 57.81 from 5781 to get 5,723.19

Is that what you were asking? I hope so.

The area of a rectangle can be calculated with this formula:

Where "l" is the length and "w" is the width.

The area of a circle can be found with this formula:

Where "r" is the radius of the circle.

Let be "d" the diameter of the circle shown in the picture. Since it touches the rectangle at two points, you can identify that:

Since the radius of a circle is half the diameter, in this case this is:

Therefore, the area of the circle is:

Now you must find the total area of the rectangle. Knowing that:

You get:

In order to find the total area of the shaded region, you must subtract the total area of the rectangle and the area of the circle. Then, this is:

The answer is: Option D.

Answer:

y=2x

Step-by-step explanation: given (0,0) (1,2)

y=mx+b

0=(m*0)+b

0=b

2=(1*m)+

2=m

y=mx+b

y=2x

Answer:

13

Step-by-step explanation:

A number squared is a number multiplied by itself.

13 x 13 = 169.

The answer is 13.

Hope this helps!

P.S, Brainliest please! Thanks!

Answer:

[tex]y^{2}[/tex] = 169

Meaning that

[tex]\sqrt{y^2}[/tex]  = [tex]\sqrt{169}[/tex]

Simplify...

y = 13

7 × 5 is used to find the total number of squares.

Each has 7 small squares.

There are 5 parts,

So we can write:

7+7+7+7+7

That is adding 7 five times. By this we get the total number of square.

So by multiplying 7 by 5 we get the total number of square.

= 7× 5

Therefore the expression 7×5 is used to find the total number of squares.

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Answer: B. y = 20x +20

The score for a student that spent 3.8 hours studying is expected to be 96.

Step by step solution:

The point-slope form of a linear equation is y = mx + b, where m is the slope and b the intercept with the y-axis.

To find the line that fits the data and model the relationship, we need to find the slope. Let

y = Test score

x = Study time (hours)

Two pair of coordinates from the line are (2, 60) and (3, 80):

We have m = 20, and b = 20 (intercept with the y-axis)

The equation that model the relationship is:

Second Part. Basing ourselves on the above equation, estimate the score for a student that spent 3.8 hours studying x = 3.8.

The score for a student that spent 3.8 hours studying is expected to be 96.

The sample mean is indeed a random variable because the value of the sample mean depends on the characteristics of the specific random sample. The sample size multiplied by the population mean yields the expected value of the sample sum.

What is random?
The lack of pattern or predictability in events, whether it be apparent or real, is referred to as randomness. Sometimes there is no order or discernible pattern or combination in a random series of events, symbols, or processes.

What is mean?
A collection of two or more numbers' mean is simply their simple mathematical average. There are various methods for calculating the mean for a given collection of numbers, including the arithmetic mean approach, which adds up the series' values, and the geometric mean method, which averages a group of products. The majority of the time, all of the fundamental approaches to calculating a basic average, however, yield the same rough result.

As the population is a huge number and not linear in growth we prefer to take random variable.

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The nearest degree of the measure of the angle having trigonometric ratios are answered below.

The trigonometric functions in mathematics are real functions that connect the right-angled triangle's angle to the ratios of its two side lengths. They are extensively employed in all fields of geometry-related study, including geodesy, solid mechanics, celestial mechanics, and many others. Review the sine, cosine, tangent, cotangent, secant, and cosecant trigonometric ratios. Sine (sin), cosine (cos), tangent (tan), cotangent (cot), cosecant (cosec), and secant are the six trigonometric ratios (sec). A branch of mathematics called trigonometry in geometry deals with the sides and angles of a right-angled triangle.

Given Data

Trigonometry  Ratios:

1) cosine x = 0.8988

cos⁻¹ = 26.103°

2) sine x = 0.6691

sine⁻¹ x = 41.99°

3) tangent x = 2.50

tan⁻¹ x = 68.2°

4) tan x = 20

tan⁻¹ x = 87.14°

5) sin x = [tex]\frac{6}{11}[/tex]

sin⁻¹ x = 0.518

6) cos x =[tex]\frac{7}{9}[/tex]

cos⁻¹ = 0.7

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If Ellen's dog has a pen that is [tex]3^{2}[/tex] feet by [tex]3^{3}[/tex] feet, then the area of the dog pen is 243 square feet

Here the Ellen's dog pen is in rectangular shape

The area of the rectangle = l × w

Where l is the length of the rectangle

w is the width of the rectangle

In this question

The length of the rectangle =  [tex]3^{2}[/tex] feet

= 3×3

= 9 feet

The width of the rectangle =  [tex]3^{3}[/tex] feet

= 3×3×3

= 27 feet

Then the area of the dog pen = l × w

Substitute the values in the equation

The area of the dog pen = 9×27

= 243 square feet

Hence, if Ellen's dog has a pen that is [tex]3^{2}[/tex] feet by [tex]3^{3}[/tex] feet, then the area of the dog pen is 243 square feet

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Sum
        243
I found it on edge

The equation that represents the miles of the car's odometer after 2020 is y = 14000x

Odometer:

Basically Odometer is the instrument used for measuring the distance traveled by a vehicle, such as a bicycle or car.

Given,

An odometer shows that a car has traveled 56,000 miles by January 1, 2020. The car travels 14,000 miles each year.

Here we need to write an equation that represents the number y of miles on the car's odometer x years after 2020

Through the given question we know that,

x represents the year

y represents the miles

We know that, for one year it will travels 14,000 miles.

Then the equation is written as,

miles = number of years x 14000

Therefore, the equation is,

y = 14000x

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