Find The Exact Lengths Of The Sides Of Quadrilateral ABCD With VerticeA(4, 5), B(-3, 3), C(-6, -13) And (2024)

The total number of feathers lost in 14 days if you lose 30 feathers every hour is 10,080 feathers.

How many feathers will you loose?

Feathers lost every hour = 30 feathers

How many feathers is lost in 14 days?

1 day = 24 hours

14 days = 24 × 14

= 336 hours

Total number of feathers lost in 14 days = Feathers lost every hour × number of hours in 14 days

= 30 × 336

= 10,080 feathers

Therefore, the total number of feathers lost in 14 days is 10,080 feathers

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If it took the class 30 minutes to paint 1 square foot of the mural created about Martin Luther King by Mr. Elliot's class, it will take 7 hours and 43 minutes to complete the task, based on mathematical operations.

What are mathematical operations?

Mathematical operations basically involve addition, subtraction, division, and multiplication.

The area of the mural is determined by the multiplication of length and width.

The time taken to complete the whole painting is derived by proportionately equating the time it takes to paint 1 ft² to the time it would take to paint 15.4375 ft².

The length of the mural created = 4.75 feet

The width = 3.25 feet

The area of the mural = 15.4375 ft² (4.75 x 3.25)

The time to pain 1 ft² = 30 minutes

The total time to paint the whole mural = 463.125 minutes (15.4375 x 30)

= 7 hours 43 minutes (463.125/60).

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The table is not linear nor exponential.

Hence, The answer is neither.

What is linear expression?

A linear expression is an algebraic statement where each term is either a constant or a variable raised to the first power.

We know that;

The coordinates in a graph show the relationship between the information plotted on the given x-axis and y-axis.

We have,

From the table, we can make coordinates points.

(-10, 3)

(-5, 30)

(0, 300)

(5, 3000)

If the relationship is linear we must have the rate of change between two coordinates equal.

Rate of change between (-10, 3) and (-5, 30) is,

⇒ (30 - 3) / (- 5 - (-10))

⇒ 27 / 5

And, Rate of change between (-5, 30) and (0, 300)

⇒ (300 - 30) / (0 - (-5))

⇒ 270 / 5

⇒ 270/5

So, The relation is not a linear relation.

Now, If we plot the graph we get a curve shape.

This means, The relation is not exponential.

Thus, The table is not linear nor exponential.

The answer is neither.

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3x - 4y = -14

-3x + 2y = -2

--------------------Adding the two equation we solve for y:

-2y = -16

y = 16/2

y = 8

Now by back substitution, we get:

3x - 4y = -14

3x - 4(8) = -14

3x - 32 = -14

3x = -14 + 32

3x = 18

x = 18

x = 6

Therfore, x = 6 and y = 8

Thus the solution.

What is substitution?A substitute, or substitutable good, in economics and consumer theory refers to a product or service that consumers see as essentially the same or similar-enough to another product. Put simply, a substitute is a good that can be used in place of another.Substitutes play an important part in the marketplace and are considered a benefit for consumers. They provide more choices for consumers, who are then better able to satisfy their needs. Bills of materials often include alternate parts that can replace the standard part if it's destroyed.In economics, products are often substitutes if the demand for one product increases when the price of the other goes up.

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Answer:

Step-by-step explanation:

3 x 2.75 = 8.25

3 x 1.50 = 4.50

3 x 4.25 = 12.75

then add all answers

$25.50

Resort is located on the shore in of Lake Michigan, near the town of Saugatuck, Michigan.

What is unit?

It is true that the probability symbol '^' represents the probability of an event happening.

What is probability?

Probability can be defined as the ratio of favorable outcomes to the total number of events.

The probability symbol '^' represents the probability of an event happening in a manner of dependent probabilities. Which describes the dependent relationship between the probability of certain events.

Thus, It is true that the probability symbol '^' represents the probability of an event happening.

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Answer: 2/3, 5/6, 3/4

Step-by-step explanation:

Answer:

[tex] \frac{2}{3} \: \frac{3}{4} \: \frac{5}{6} [/tex]

Step-by-step explanation:

[tex] \: \: \: \frac{2}{3 } \: \: \frac{3}{4} \: \: \: \frac{5}{6} \\ = \frac{8}{12} \frac{9}{12} \frac{10}{12} [/tex]

The required solution to the given equation is x = 20. The correct answer would be an option (C).

What is the equation?

The equation is defined as mathematical statements that have a minimum of two terms containing variables or numbers that are equal.

The equation is given in the question, as follows:

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

Apply the distributive property of multiplication,

4x - 8 = 3x + 12

Rearrange the likewise terms and apply the arithmetics operation,

4x - 3x = 12 + 8

x = 20

Thus, the required solution is x = 20.

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Answer: When simplified, (-3x2 + 2x − 4) − (-2x2 − x + 4) is:

-x2 + 3x − 8.

To simplify the expression you can start by combining like terms:

-3x^2 - (-2x^2) = -3x^2 + 2x^2 = -x^2

then,

-x^2 + 2x -4 - (-x -4) = -x^2 + 2x -4 + x +4 = -x^2 + 3x

And finally,

-x^2 + 3x − 8.

Step-by-step explanation:

Equation that could be used to determine c is 21.75m + 70.and the equation is s = 16.98m + 99.50.

What is equation?

D/ If x=10, √√2x=32 is not true. The correct result would be √√2x = √√20 = √4 = 2.

What is the square root?

There are many kinds of roots

square rootcube root4th root5th root

etc

square=2D so it means 2 identical numbers that multiply to get that number

The square root of a number is a value that, when multiplied by itself, gives the original number.

The double square root of a number is the square root of the square root of that number. For example, the double square root of 20 is the square root of the square root of 20, which is the square root of √20 = √4 = 2.

In the statement "If x=10, √√2x=32", the value of x is set to 10, so the statement is asking to find the double square root of 2x when x = 10. So it would be √√2(10) = √√20 = √4 = 2 which is not equal to 32.

Hence, D/ If x=10, √√2x=32 is not true. The correct result would be √√2x = √√20 = √4 = 2.

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Answer:

(x - 5) - (x + 1) ➡️ -4.(x - 5) - (x - 1) ➡️ -6.(x - 5) + (x + 1) ➡️ 2x - 4.(x - 5) + (x - 1) ➡️ 2x - 6

Answer:

k) Alternate exterior angles

l) Same-side exterior angles

Step-by-step explanation:

Part k∠3 and ∠6 and alternate exterior angles.

Alternate exterior angles

When two lines are intersected by a transversal, the angles that are exterior to the two lines and are on opposite sides of the transversal line are called "alternate exterior angles".

Part l∠2 and ∠12 are same-side exterior angles.

Same-side exterior angles

When two lines are intersected by a transversal, the angles that are exterior to the two lines and on the same side of the transversal line are called "same-side exterior angles".

Answer:

D) 182

Step-by-step explanation:

there are 14 possibilities for first place and 13 possibilities for second place because one person has already gotten first. 14*13 = 182

mark brainliest if this is correct thx

An inequality system that reflects this circumstance is C. 8x + 12y 240 since the dyers must produce at least 22 rugs in fewer than 240 hours.

How to determine inequality?

Both mathematical phrases, equations and inequalities, are created by connecting two expressions. The equal sign (=) indicates that two expressions in an equation are believed to be equivalent. The symbols >,,, or indicate that the two expressions in an inequality are not always equal.

The small-size rug and medium-size rug would first receive the following variable assignments:

Give x the rug in the small size.Let y be the area rug of medium size.

When the problem is converted into an equation, we get;

It takes 8 hours to dye a small-sized rug: 8 times.

12 hours are needed to colour a medium-sized rug.

Given that the dyers must produce at least 22 carpets in less than 240 hours, the following system of inequality best captures the situation:

8x + 12y < 240.

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By simplifying 8 to 23 to make both powers base two and subtracting the exponents.

Explain how the Quotient of Powers property was used to simplify this expression?The Quotient of Powers property is used to simplify an expression with two powers, or exponents, that have the same base. To simplify this expression, first find the quotient of the bases.In this case, the bases of both powers are 8, so the quotient is 8/8 or 1. Then cancel out any common factors. 8/8 cancels out to 1, leaving the expression as 2^3/2^5.Next, simplify the expression further by making both powers have the same base. Since the base of the first power is two, we can simplify 8 to 23 to make the base of the second power two. This leaves us with 2^3/2^8.Finally, use the Quotient of Powers property to simplify the expression by subtracting the exponents. The subtraction results in 2^3-2^5, which simplifies to 2^-2. This is the simplified version of the expression.

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a. You 97 or more should be scored to get an A grade. b You should score less than 67 to lose B grade.

What is arithmetic mean?

The arithmetic mean is defined as the ratio of the sum of observations to the total number of observations. It can be referred to as the average of a specific set of data or the arithmetic mean.

The formula for the mean of a given set of data is as follows:

Mean = Sum of Observations/Total number of observations

a) Average of the three examinations should be greater than or equal to 90 to get an A grade

Let x represent the grade in the third exam

So, (82+91+x)/3=90

⇒ x= 270 - (82+91) = 270 - 173 = 97

Thus, 97 or more should be scored to get an A grade.

b) Let x represent the grade in the third exam

Then;

(x+82+91)/3 = 80

⇒ x = 240 - 173 = 67

Thus, you should score less than 67 to lose B grade.

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The question seems incomplete, the complete question would be as:

On two​ examinations, you have grades of 81 and 92. There is an optional final​ examination, which counts as one grade. You decide to take the final in order to get a course grade of​ A, meaning a final average of at least 90. a. What must you get on the final to earn an A in the​ course?

Part B: By taking the​ final, if you do​ poorly, you might risk the B that you have in the course based on the first two exam grades. If your final average is less than​ 80, you will lose your B in the course. Describe the grades on the final that will cause this to happen.

The approximate values for the given expressions, will be 240, 250, 220 and 270

What is an expression?

An expression in math is a sentence with a minimum of two numbers or variables and at least one math operation. This math operation can be addition, subtraction, multiplication, or division.

Given are some expressions, we need to solve them by adding or subtracting, and then approximate the results,

1) 349.6 - 112.8 = 236.8 ≈ 240

2) 173.3 + 78.4 = 251.7 ≈ 250

3) 817.2 - 597.1 = 220.1 ≈ 220

4) 108.8 + 159.3 = 268.1 ≈ 270

Hence, the correct values will be 240, 250, 220 and 270

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Answer:

#1 hot dogs and 38 seventh graders, pizza and 32

Step-by-step explanation:

look at the chart

Answer:

92.1

Step-by-step explanation:

Answer:

18

40

41

do the operations in parentheses first according to pemdas.

Answer:

Step-by-step explanation:

The table below shows the number of tickets and the amount charged based on this pricing structure:

Number of tickets | Amount charged

2 tickets | $16

4 tickets | $32

6 tickets | $48

8 tickets | $64

10 tickets | $80

And so on.

Answer:

False

Step-by-step explanation:

To make this true the proportion would be 3

Answer:

The proportion is true

Step-by-step explanation:

3/5 = 0.6

3/5/2 = 0.6/2 = 0.3

1.8/6 = 0.3

So the proportion is true

The linear inequality that will represent the third side of the triangle will be x<40 where x=third side.

What is a triangle?

Triangles are polygons in geometry that have three sides and three vertices. This figure is two-dimensional and has three straight sides. A triangle is a three-sided polygon. A triangle's three angles added together equals 180°. A single plane contains the triangle. The triangle is classified into six forms based on its sides and angles.

A triangle is categorized into three categories based on its sides, namely:

Scalene Triangle - Each side has a distinct length.

Isosceles Triangle - A triangle with two sides of equal length and one side of a different length.

Equilateral Triangle - A triangle has three sides that are of the same length.

A triangle is categorized into three categories based on its angles, namely:

Acute Angle Triangle - A triangle with all of its angles smaller than 90°.

Obtuse Angle Triangle - A triangle with one of its angles larger than 90°.

Triangle with a Right Angle - A triangle with one of its angles equal to 90°.

Now,

As sum of two sides of a triangle>third side.

Hence,

x<12+28

x<40, x=third side

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Order of numbers from least to greatest is -2.14<|-2.8|<3.2. Therefore, the option D is the correct answer.

What is the order of an integers?

Numerical order is a way of arranging a sequence of numbers. This could be in ascending or descending order.

Ascending order: Ascending order means to arrange numbers in increasing order, that is, from smallest to largest.

The given numbers are -2.14, √10, |-2.8|.

Here, √10=3.2

Order of numbers from least to greatest is

-2.14<|-2.8|<3.2

Therefore, the option D is the correct answer.

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It will take the object 7.4 seconds to hit the ground

How to determine how long it takes the object to hit the ground?

A model function is a way of describing a real-life system or situation using mathematical concepts and language

Since the time for the object is modelled by t = √(h/4.9).

In order to determine how long it takes the object to hit the ground if the object is dropped from the top of a building that is 266.56 meters tall, substitute h = 266.56 into t = √(h/4.9). That is:

t = √(h/4.9)

t = √(266.56/4.9)

t = 7.4 seconds

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This is an inequality in the standard form of "ax + b > c" where a, b, and c are constants. In this case, a = 1.70, b = 41.70, and c = 153.90.

To solve this inequality, we need to get x alone on one side of the inequality. We can do this by subtracting 41.70 from both sides, which gives us:

1.70x > 112.20

Then we can divide both sides by 1.70, to get:

x > 66.12

So the solution set to this inequality is all the values of x that are greater than 66.12. This can be written as x > 66.12.

It's important to note that this inequality means that x can be any number greater than 66.12 (66.12 is not included in the solution set)

I hope this helps :)

A cone with a diameter of 16 centimeters has a volume of 320π cubic centimeters, the height of the cone is 15 cm.

What is volume of cone?

A cone should be emptied at a time after being filled with water. The cylinder is filled to a third with each cone. Since there are three of them, the cylinder will be filled. As a result, the volume of a cone is equal to one-third of the volume of a cylinder.

Cone volume is calculated using the method V=1/3πhr².

Given that,

diameter(d) = 16 cm

radius (r) = d/2 = 8 cm

volume = 320π cubic centimeters

πr²h/3 = 320π

or, [π × (8)² × h]/3 = 320π

or, h = (3 × 320)/(8)²

or, h = 15 cm

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