Radius of 256/3π cm³

The cookies that each person bake will be:

A = 4 1/2 dozen cookies

B = 6 3/4 dozen cookies

C = 15 3/4 dozen cookies.

A fraction simply means a piece of a whole. In this situation, the number is represented as a quotient such that the numerator and denominator are split.

Person A baked 4 1/2 Dozens of cookies for a bake sale. Person B Baked 1 1/2 as many as Person A. This will be:

= 1 1/2 × 4 1/2

= 6 3/4

Person C Baked 2 1/3 as many as Person B. This will be:

= 2 1/3 × 6 3/4

= 7/3 × 27/4

= 15 3/4

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Answer: 4.8

Step-by-step explanation: By using the intersecting chords theorem, we know that 10 * x = 6 * 8

This simplifies to 10x = 48

After dividing both sides by 10 we get x = 4.8

A) The ratios for 2021 are as follows:

Rate of return on total asset = (Profit for the year / Total assets) * 100 = (12,605 / 29,935) * 100 = 42%

Profit margin ratio = (Profit for the year / Revenue) * 100 = (12,605 / 55,000) * 100 = 22.9%

Current ratio = (Current assets / Current liabilities) = (17,190 / 7,700) = 2.23:1

Inventory turnover ratio = (Cost of sales / Inventory) = (35,100 / 3,675) = 9.58

Accounts receivable turnover ratio = (Revenue / Receivables) = (55,000 / 4,905) = 11.22

Debt ratio = (Total liabilities / Total assets) = (15,720 / 29,935) = 52.6%

Times interest earned = (EBIT / Interest) = (12,715 / 1,560) = 8.14

B) Based on the above industry averages:

profitability: the company's profit margin ratio of 22.9% is lower than the industry average of 40%, which suggests that the company's profitability is lower than the industry average.

liquidity: the company's current ratio of 2.23:1 is lower than the industry average of 2.5:1, which suggests that the company's liquidity is lower than the industry average.

use of financial gearing: the company's debt ratio of 52.6% is higher than the industry average of 6%, which suggests that the company is more heavily leveraged than the industry average.

In summary, the company profitability is lower than the industry average, liquidity is lower than the industry average, and the company is more heavily leveraged than the industry average.

A company's profitability refers to its ability to generate a profit and return on investment. It is a measure of how well a company is able to generate revenue, control costs, and manage its assets and liabilities. Profitability ratios are used to evaluate a company's financial performance and to compare it to other companies in the same industry. Some of the most common profitability ratios include:

Gross profit margin: measures the percentage of revenue that remains after accounting for the cost of goods sold. It's calculated by dividing gross profit by revenue.

Operating profit margin: measures the percentage of revenue that remains after accounting for all operating expenses. It's calculated by dividing operating profit by revenue.

Net profit margin: measures the percentage of revenue that remains after accounting for all expenses, including taxes and interest. It's calculated by dividing net profit by revenue.

Return on assets (ROA): measures how efficiently a company is using its assets to generate a profit. It's calculated by dividing net income by total assets.

Return on equity (ROE): measures how efficiently a company is using shareholder's equity to generate a profit. It's calculated by dividing net income by shareholder's equity.

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Answer:

111 & 82

Step-by-step explanation:

888/8=111

574/7=82

Answer:

574/7=82

888/8=111

......................

The  polynomial has the zeros 1,-2i and 3 is =  x³ - 5x² + 11x -15.

A polynomial is an equation made up of variables, constants, and exponents that are mixed using mathematical operations including addition, subtraction, multiplication, as well as division (No division operation by a variable).

A polynomial function is a function that only uses non-negative numeric powers or only positive integer exponents of something like a variable in an equation, such as the quadratic equation, cubic equation, etc. As an illustration, the polynomial 2x+5 has an exponent of 1.

given zeros are 1-2i and 3 .

The polynomial function  p(x) is

[x - (1+2i)] × [x - (1 - 2i)] × (x - 3)

[(x - 1) - 2i] × [(x - 1) + 2i] × (x - 3)

[(x - 1)² - (2i)² × (x - 3)]

∴ (x² - 2x + 1 + 4)(x - 3)

∴  (x² - 2x + 5)(x - 3)

The  polynomial has the zeros 1,-2i and 3 is =  x³ - 5x² + 11x -15.

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Answer:

Step-by-step explanation:

[tex]\sf 37-\cfrac{48}{8}[/tex]

Divide numbers ( 48/8 = 6)

Subtract numbers:-

31 is your answer!

___________________

Hope this helps!

Have a great day!

Answer:

false

Step-by-step explanation:

[tex]3xy^{2}[/tex]

The coefficient is 3

Hope this helps

For the given line whose equation is [tex]y=x+3[/tex] :

x   y    (x,y)

0 3     (0,3)

1 4     (1,4)

2 5     (2,5)

3      6      (3,6)

The definition of an equation in algebra is a mathematical statement that demonstrates the equality of two mathematical expressions. For instance, the equation 3x + 5 = 14 consists of the two equations 3x + 5 and 14, which are separated by the 'equal' sign.

Mathematical expressions consist of at least two numbers or variables, at least one arithmetic operation, and a statement. It's possible to multiply, divide, add, or subtract with this mathematical operation. An expression's structure is as follows: Expression: (Math Operator, Number/Variable, Math Operator)

A line in slope-intercept form, y = mx + b, where m is the slope of the line and b is the y-intercept .

Given the equation y = x + 3, the slope (m) is 1 and the y-intercept (b) is 3.

So, we can fill the table like this:

For the given line whose equation is [tex]y=x+3[/tex] :

x   y    (x,y)

0 3     (0,3)

1 4     (1,4)

2 5     (2,5)

3      6     (3,6)

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Schur polynomials, named after Issai Schur, are certain symmetric polynomials in n variables, indexed by partitions, that generalize the elementary symmetric polynomials and the complete homogeneous symmetric polynomials.

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Therefore , the solution to the given problem of trigonometry comes out to be  Additionally, the symmetry of these basketball courts, tennis courts, and soccer fields is mirror imaged.

Trigonometry is the discipline of mathematics that studies correlations between angles and sides of triangles. Trigonometry is present in all of geometry because every straight-sided form may be reduced to a set of triangles. Amazingly intricate connections exist between trigonometry and other areas of mathematics, particularly calculus, real or complex, infinite series, logarithms, and infinite series.

Here,

Geometry has a wide variety of shapes depending on the size. The 2-d shapes include a variety of polygonal forms and the following: circle, triangle, square, rectangle, kite, trapezium, parallelogram, and rhombus.

The fundamental shapes in three dimensions are cube, cuboid, sphere, cone, and cylinder.

Many sports use geometric forms to help delineate the precise areas of play.

View the soccer field below to see how it is composed of quadrilaterals, rectangles, 90-degree angles, and circles.

Additionally, the symmetry of these basketball courts, tennis courts, and soccer fields is mirror imaged.

Therefore , the solution to the given problem of trigonometry comes out to be  Additionally, the symmetry of these basketball courts, tennis courts, and soccer fields is mirror imaged.

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Answer:

X < - 50

Step-by-step explanation:

5 - 1/2 x > 30

Move 5 to the other side of the inequality

- 1/2 x > 25

Multiply both sides by 2, to get rid of the denominator on the left side

-x > 50

Now switch the inequality sign and multiply to get the minus on the other side

x < - 50

[tex]5-\dfrac{1}{2} x > 30[/tex]

Simplify:

[tex]-\dfrac{1}{2} x+5 > 30[/tex]

Subtract 5 from both sides:

[tex]-\dfrac{1}{2} x+5-5 > 30-5[/tex]

[tex]-\dfrac{1}{2} x > 25[/tex]

Multiply both sides by [tex]-\dfrac{2}{1}[/tex]:

[tex]-\dfrac{2}{1} \times(-\dfrac{1}{2} x) > -\dfrac{2}{1} \times(25)[/tex]

[tex]\fbox{x} < \fbox{-50}[/tex]

Answer: The area of the tiny house can be represented by multiplying the length of the house by the width. Since the width of the kitchen is 3 feet, and the width of the remaining living space is 12 feet, the total width of the house is 3+12 = 15 feet.

So the area of the tiny house is 25 ft * 15 ft = 2515 = 375 sq ft.

The expression that correctly represents the area of the tiny house is 25 * 15 =375.

So the correct answer is 2515 = 375 ft^2

The other expressions you gave are not the correct representation of the area of the house

3(12+25) = 3 * 37 = 111 ft^2

25-3+12 = 25 - 3 + 12 = 34 ft^2

25(3+12) = 25 * 15 = 375 ft^2

3-12 +25 = 3 - 12 + 25 = 16 ft^2

25 ft , 3 ft and 12 ft are not represent the area of the house.

Step-by-step explanation:

Answer:

I hope this helps. Let me know if you have any doubts. Have a nice day!!

As a result, the necessary linear equations for the rectangle's area and perimeter are y = 18[x - 1] and z = 6[x + 1], respectively.

An object's surface area is a measurement of the total volume of space that it occupies. The entire region surrounding a three-dimensional shape is referred to as its surface area. Its surface area is the total area of a three-dimensional shape. By adding the surfaces of each of a cuboid's six rectangular sides, one may determine the cuboid's surface area. The box's dimensions could also be named using the following formula: Surface (SA) = 2lw + 2lh + 2hw. A three-dimensional shape's surface area is a measurement of the total area it occupies (a three-dimensional shape is a shape that has height, width, and depth).

given

here,

Length  = 3x + 3

Width = 6

Area of the rectangle = y, = length × width

y = [3x - 3 ] × [6]

y = 18x - 18 = 18[x -1]

Perimeter of the rectangle = 2[length + width]

z = 2 [3x + 3]

z = 6[x + 1]

As a result, the necessary linear equations for the rectangle's area and perimeter are y = 18[x - 1] and z = 6[x + 1], respectively.

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The correct question is :- Write a linear equation that represents the area and a linear equation that represents the perimeter of the rectangle (3x-3) cm and 6 cm .

Answer:Sure! Here are four daily life examples where 20 subtracted by 0 is equal to 20:

1. You have 20 pieces of fruit in a basket, and you take 0 pieces of fruit out of the basket. You are left with 20 pieces of fruit in the basket.

2. You have 20 minutes left on your parking meter, and you add 0 more minutes to the meter. You still have 20 minutes left on the meter.

3. You have 20 dollars in your wallet, and you spend 0 dollars. You still have 20 dollars in your wallet.

4. You have 20 pages left to read in a book, and you haven't read any additional pages. You still have 20 pages left to read.

Answer:

1/3

Step-by-step explanation:

2÷2=1

6÷2=3

Solution: 1/3

Heather spend $33.1 on school supplies.

Two or more expressions with an Equal sign is called as Equation.

Given that Melinda, Zachary, and heather went to the mall to shop for school supplies

Melinda spent $14.25 on her supplies.

Melinda=$14.25

Zachary spent $2.30 more than Melinda spent

Zachary=$14.25+$2.3

=$16.55

Heather spent 2 times as much money as Zachary spent

Heather=2×$16.55

=$33.1

Hence, Heather spend $33.1 on school supplies.

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The inequality to represent the number of stamps Keshia can buy with $10.00, considering that each stamp costs 49 cents, can be written as:

0.49x + 7.65 <= 10.00

An inequality in mathematics is a relation that compares two numbers or other mathematical expressions in an unequal way. The majority of the time, size comparisons between two numbers on the number line are made.

Mathematical expressions consist of at least two numbers or variables, at least one arithmetic operation, and a statement. It's possible to multiply, divide, add, or subtract with this mathematical operation. An expression's structure is as follows: Expression: (Math Operator, Number/Variable, Math Operator)

The inequality to represent the number of stamps Keshia can buy with $10.00, considering that each stamp costs 49 cents, can be written as:

0.49x + 7.65 <= 10.00

This inequality can be read as "the cost of x number of stamps plus the cost of the package is less than or equal to Keshia's budget of $10.00."

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If the height of a right triangular prism is 1⁵/₆ inches. The surface area of the solid formed is 598.33 in².

The surface area of a solid object is a measure of the total area that the surface of the object occupies.

A three-dimensional solid form with six faces, including rectangular bases, is called a rectangular prism. A rectangular prism also refers to a cuboid. A cuboid and a rectangular prism have the same cross-section.

First step:-

Right triangular prism=1⁵/₆ inches= 11/6 inches

Height of the base=8²/₃ inches = 26/3 inches

Second step:-

Surface area = 5(10× 10) + (0.5÷ 10 × 26/3) + 3(10× 11/6)

Surface area = 5(100) +43.33+ 3(18.33)

Surface area = 500) +43.33 + 55

Surface area = 598.33 in²

Therefore the surface area of the solid formed is about 598.33 in²

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Answer:

0.75

Step-by-step explanation:

Elena swaps her cookies for a friend's doughnut is the examples of voluntary exchange. Hence,

A voluntary exchange occurs when two parties freely exchange products or services without the use of coercion or other restrictive measures. Both parties will gain from the deal and both parties want to make the exchanged items. The idea of voluntary exchange is crucial to a free market economy.

Customers also willingly swap money to buy his strawberries. They can choose to buy strawberries somewhere else if they see that some of his strawberries have flaws. This is a voluntary exchange because both sides gain from it.

One of the most crucial principles of economics is voluntary exchange. In a market economy, where producers and consumers freely exchange products and services, this transaction is taking place. In the end, both sides benefit from the process.

Thus, option A is correct.

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Therefore , the solution of the given problem of complementary angles comes out to be x = 55° and y =125°.

A pair of angles is considered to be complementary if their sum equals 90 degrees. Two angles are referred to as submissive if their sums total 180 degrees. Follow-up pain Utilizing fresh gruesome milk, as usual Prior to, before, ahead of The angles of thirty and sixty degrees, for example, are supplementary. In contrast to a supplemental angle, which is two angles joined to create a 90 degree angle, a supplementary triangle tilt is two possible approaches combined to create a 180 degree angle. If the sum of two angles is 90 degrees, they are said to be complementary. A straight angle, to put it another way

Here,

Given :  complementary angle one of the angle is 35°

=>  x+ 35° = 90°

=> x = 55°

Let y be the supplement of angle x

=> x+ y = 180°

=>55° + y =180°

=>y =125°

Therefore , the solution of the given problem of angle comes out to be

x = 55° and y =125°.

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Therefore , the solution of the given problem of angles comes out to be equation :  x+ y =85°.

'

In Euclidean geometry, an angle is a shape that is made up of two rays, known as the tone's flanks, that meet at a midpoint known as such angle's vertex. Two rays may combine to form an angle there in plane where they are positioned. When two planes collide, an angular is also generated. They are referred to as dihedral angles. An angle in plane geometry is the possible configuration of two rays of lines that share a termination. The origin of the English term "angle" is the Latin phrase "angulus," which meaning "horn." The vertex is the point in which the two vectors, also known as that of the faces of the angle, converge.

Here,

Given :

Let two angles be x and y  is

=> x+ y =85°

So, the equation is represented as  x+ y =85°.

Therefore , the solution of the given problem of angle comes out to be equation :  x+ y =85°.

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The number in the replacement set that will make the equation true is (c) 112

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

x ÷ 2 = 56

Rewrite the expression properly

so, we have the following representation

x/2 = 56

Also, we have the replacement set to be

{28, 56, 112}

In the given equation, we have the variable to be

The variable is x

Multiply 2 to both sides of the expression

So, we have the following representation

2  * x/2 = 56 * 2

Evaluate the products on both sides of the equation

x = 112

Hence, the solution is x = 112

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Answer:

The answer is zero

Step-by-step explanation:

Hope it helps

The volume of the solid is 104 cubic centimeters.

A cuboid is a solid in three dimensions with six rectangular faces, eight vertices, and twelve edges. Three dimensions, including length, breadth, and height, define a cuboid. A cuboid with integer edges is referred described as being perfect.

Given:

We have the cuboid.

And the height of the cuboid is 2 centimeters.

Length = 9 centimeters.

Width = 8 centimeters.
The volume of a cuboid is,

=  Length × Width × Height Cubic units.

= 9 x 8 x 2

= 144 cubic centimeters.

And we have missing part of the cuboid.

And the height of the missing cuboid is 2 centimeters.

Length = 9-4 = 5 centimeters.

Width = 8 - 4 = 4 centimeters.

The volume of the missing cuboid is,

=  Length × Width × Height Cubic units.

= 5 x 4 x 2

= 40 cubic centimeters.

So, the required volume,

= Total volume - missing volume

= 144 - 40

= 104 cubic centimeters.

Therefore, the required volume is 104 cubic centimeters.

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Answer:

The graph of the equation "y - 1 = (x - 3)" is a straight line.

To graph this equation, we can start by rearranging the equation to get "y = x - 3 + 1". This simplifies to "y = x - 2".

This equation is in slope-intercept form, which means that the slope of the line is given by the coefficient of the x term, and the y-intercept (the point where the line crosses the y-axis) is given by the constant term. In this case, the slope is 1 and the y-intercept is (-2, 0).

To graph the line, we can start by plotting the y-intercept at the point (0, -2). Then, we can use the slope of 1 to find a second point on the line and draw a straight line through these two points. The graph of the equation "y = x - 2" is shown below:

[asy]

unitsize(1.5cm);

draw((-1.5,0)--(1.5,0));

draw((0,-2.5)--(0,2.5));

draw((-1.5,-2)--(1.5,2),dashed);

label("$x$", (1.5,0), E);

label("$y$", (0,2.5), N);

[/asy]

The graph of the equation "y - 1 = (x - 3)" is the same as the graph of the equation "y = x - 2", except that all the y-values on the graph are increased by 1. This means that the graph of the equation "y - 1 = (x - 3)" is obtained by shifting the graph of "y = x - 2" upward by 1 unit. The graph of the equation "y - 1 = (x - 3)" is shown below:

[asy]

unitsize(1.5cm);

draw((-1.5,0)--(1.5,0));

draw((0,-2.5)--(0,2.5));

draw((-1.5,-1)--(1.5,3),dashed);

label("$x$", (1.5,0), E);

label("$y$", (0,2.5), N);

[/asy]

The answer choices given in the question do not match the description of the graph of the equation "y - 1 = (x - 3)". "O" does not match the description of the graph, as it is not a graph of a straight line. "(-31)" and "10" do not match the description of the graph, as they are not graphs at all. "CO" does not match the description of the graph, as it is the graph of a circle, not a straight line. "8" does not match the description of the graph, as it is the graph of an exponential function, not a straight line. "fi" does not match the description of the graph, as it is not a graph of a function. "Q" does not match the description of the graph, as it is not a graph at all. "4." does not match the description of the graph, as it is not a graph of a function. "y" does not match the description of the graph, as it is not a graph at all.

Answer:

Choose the right container: Select a container that is appropriate for the size and type of plant you want to grow. Make sure the container has drainage holes to allow excess water to drain away.

Use the right soil: Use a well-draining soil mix that is appropriate for the type of plant you are growing. Avoid using soil from your garden, as it may contain pests or diseases that can harm your plant.

Provide proper lighting: Most plants need plenty of sunlight to grow, so choose a location that gets plenty of light. If you are growing plants indoors, you may need to use grow lights to provide adequate lighting.

Water properly: Water your plants regularly, but avoid overwatering, as this can lead to root rot. Check the soil moisture level regularly and water when the top inch of soil is dry.

Fertilize: Use a balanced fertilize to provide your plants with the nutrients they need to grow. Follow the instructions on the fertilize package for the proper amount and frequency of application.

Pest control: Keep an eye out for pests such as aphids, thrips, and mealybugs, and take action if necessary. There are many natural ways to control pests, such as introducing predatory insects or using neem oil.

By following these general tips, you should be able to successful

There are three popular choices when it comes to growing - Hydroponics, Soil and Coco. These methods vary widely according to the source, understanding the source of your media can lead to a grower getting better results.

Answer: -18

Step-by-step explanation:

Distribute the -3 to the values inside the parentheses, (x and 8) which equals -3x-24.

Then, use inverse operations by adding 24 on both sides (it will cancel on the left) to get -3x=53

Then divide -3 on both sides to get x by itself

Answer:

-18

Step-by-step explanation:

-3(x+8)=30

by dividing 3 from both sides

-(x+8)=10

by multiplying -1 for both sides

(x+8)= -10

by subtracting 8 from both sides

x = -18