19. Identify the wrong statement. A. At equilibrium, the market clears for there is neither burdensome surplus for the suppliers nor inconvenience storage for the buyers. The market demand (supply) curve is flatter than the individual demand (supply) monopoly market. curves in a non- C. Your demand for soap represents the amount that you are willing to buy at all possible prices, citrus paribus. D. If population size for a market decreases, the price of the commodity in that market will fall, citrus paribus. 20. Which of the following is a basic economic question that every economy should try to resolve? What to produce C D B. How to produce 21. One of the following statements commits a post-hoc fallacy A. B. A. C B. Ethiopia is a developing country. It is because of president bush's visit to Germany that the Ethiopian agriculture is backward. Rise in prices leads to fall in quantity demand All of the above. D 22. From the PPF the law of increasing opportunity cost is implied by A. C. The negative slope of the curve The concavity of the curve For whom to produce All of the above. Worksheet-Introduction to Economics D. the menu of alternatives All of the above 2​

Answers

Answer 1

19. We can see here the wrong statement is:

B. The market demand (supply) curve is flatter than the individual demand (supply) monopoly market.

20. D. All of the above reveals basic economic question that every economy should try to resolve.

21. The statement that commits a post-hoc fallacy is: B. It is because of president bush's visit to Germany that the Ethiopian agriculture is backward.

22.  From the PPF the law of increasing opportunity cost is implied by

A. The negative slope of the curve

What is post-hoc fallacy?

A logical fallacy known as post hoc occurs when one occurrence is assumed to be the reason for a subsequent event just because it happened earlier (also known as post hoc, ergo propter hoc).

We see here that the given answers above are actually correct.

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Related Questions

what 2+2 +2x2x2x22x2

Answers

Answer:

356 i think this is it sorry if its not

Step-by-step explanation:

Answer:

356

Step-by-step explanation:

2 + 2 +2 x2 x2 x2 2x 2 = 356

the graph pf a linear function passes through the points (4,21) and (12,35). write an equation for the function. Write your answers in the blank

Answers

Answer:

y = 7x - 7

Step-by-step explanation:

The equation for the function can be found using the slope-point form of a linear equation: y = mx + b, where m is the slope of the line and (x, y) is a point on the line.

To find the slope, we can use the two points:

m = (35 - 21) / (12 - 4) = 7

To find the y-intercept, we can substitute one of the points and the slope into the equation:

21 = 7 * 4 + b

Solving for b, we get:

b = 21 - 28 = -7

So, the equation of the line is:

y = 7x - 7

the following datais taken from henock plc.

Answers

The accounts receivable turnover in 20Y3, and 20Y2 are 5. 9 and 5. 4 respectively.

How to find the accounts receivable turnover ?

The accounts receivable turnover for Henock can be found by the formula :

= Sales / Average assets

For the year 20Y3, the accounts receivable turnover would be:

= 646, 050 / ( ( 106, 000 + 113, 000 ) / 2 )

= 646, 050 / 109, 500

= 5. 9

For year 20Y2, the accounts receivable turnover is:

= 630, 720 / ( ( 113, 000 + 120, 600 ) / 2 )

= 630, 720 / 116, 800

= 5. 4

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The full question is:

The following data are taken from henock plc.

Terms of all sales are 2/10, n/45. 20Y3 20Y2 20Y1 Accounts receivable, end of year $106,000 $113,000 $120,600 Sales on account 646,050 630,720.

For 20Y2 and 20Y3, determine (1) the accounts receivable turnover

finally, you meet a group of six natives, u, v, w, x, y, and z, who speak to you as follows. u says: none of us is a knight. v says: at least three of us are knights. w says: at most three of us are knights. x says: exactly five of us are knights. y says: exactly two of us are knights. z says: exactly one of us is a knight. which are knights? (select all that apply.) u v w x y z incorrect: your answer is incorrect. which are knaves? (select all that apply.)

Answers

None of U, V, W, X, Y, and Z are knights, but some of them are knaves. V, W, X, and Y are knaves because their statements are false, and Z is a knight because their statement is true.

The group of six natives, U, V, W, X, Y, and Z, all make statements about how many of them are knights. U says that none of them are knights, which is false. V says that at least three of them are knights, which is also false. W says that at most three of them are knights, which is false. X says that exactly five of them are knights, which is also false. Y says that exactly two of them are knights, and this is false. Finally, Z says that exactly one of them is a knight, and this is true. Therefore, none of U, V, W, X, Y, and Z are knights, but some of them are knaves. V, W, X, and Y are knaves because their statements are false, and Z is a knight because their statement is true.

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One side of a triangle is 9 cm shorter than the base, x. The other side is 17 longer than the base.
What lengths of the base will allow the perimeter of the triangle to be at least 32 cm? Write your
answer as an interval.

Answers

Answer:

(26, ∞)

Step-by-step explanation:

(I am assuming the question has been copied and pasted properly because the answer is not as simple as computing inequalities. It also involves using triangle properties)

Let the sides of the triangle be
x, y and z where x is the base

Let y be the side which is 9cm shorter than x:
y = x - 9

Let z be the side which is17cm longer than x:
z = x + 17

Perimeter = x + y + z

= x + (x-9) + (x + 17)

= x + x + x -9 + 17

= 3x + 8

We are told that the perimeter should be at least 32 cm

So 3x + 8 ≥ 32

Subtract 8 from both sides of the inequality:
==> 3x + 8 - 8 ≥ 32 - 8

==>  3x ≥ 24

Divide by 3 both sides:
==> 3x/3 ≥ 24/3

==> x ≥ 8

If these were inequalities in x, then this would be the solution and the interval will be [8, ∞ ]

However, we can see that some of the values for x are impossible within this inequality

For example, for x = 8, y = -1
for x = 9 y = 0 and both these are not possible in a triangle

Since these are the sides of a triangle. In any triangle, the sum of any two sides must be greater than the third side

In this particular triangle, the shortest side is y=  x - 9 and the longest side is z = x + 17

So the shortest side + x > longest side

x + y > z

==> x + x -9 > x +17

2x - 9 > x + 17

Moving x to the left side and -9 to the right side

2x - x > 17 + 9

x > 26

So x must be greater than 26 and it can go all the way to infinity. Remember x need not be an integer

The interval is (26, ∞)

Jori ordered packets of beads. Three packets contained a total of 36 beads. Four packets had a total of 48 beads, 5 packets had a total of 60, and 6 packets had a total of 72.
This a proportional relationship.
Let p represent the number of packets and b represent the number of beads.
Given that the relationship between packets and beads is proportional, which equation models this relationship?

Answers

Answer:

Step-by-step explanation:

We can use the concept of unit rate to find the constant of proportionality between the number of packets and the number of beads.

For the first case, with 3 packets and 36 beads, the unit rate is 36/3 = 12 beads per packet.

For the second case, with 4 packets and 48 beads, the unit rate is 48/4 = 12 beads per packet.

We can see that the unit rate is the same for both cases, so we can conclude that the relationship between the number of packets and the number of beads is proportional, and the constant of proportionality is 12 beads per packet.

Therefore, the equation that models this relationship is:

b = 12p,

where b is the number of beads and p is the number of packets.

Find the mean, median, and mode for the set of numbers. If necessary, round the mean to one decimal place.
26, 31, 19, 23, 16

Answers

Mean of the set of numbers = 23

Median of the set of numbers = 23

Mode of the set of numbers = 16, 19, 23, 26, 31

What are Mean, Median and Mode?

The arithmetic mean is found by adding the numbers and dividing the sum by the number of numbers in the list. This is what is most often meant by an average. The median is the middle value in a list ordered from smallest to largest. The mode is the most frequently occurring value on the list.

Given numbers,

26, 31, 19, 23, 16

Putting in Ascending order

16, 19, 23, 26, 31

No. of elements N = 5

Mean = (26 + 31 + 19 + 23 + 16)/5

Mean = 115/5

Mean = 23

Since N = 5 (Odd)

Median = (N+1)/2th term

            = (5+1)/2th term

            = 6/2th term

            = 3rd term

            = 23

Every element has same frequency,

Mode = 16, 19, 23, 26, 31

Hence, Mean = 23, Median = 23 and Mode = 16, 19, 23, 26, 31

of the set of the numbers.

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if we increase the compounding interval (from annual to daily) what will be the impact on 1) future value of an investment 2) present value of an investment.

Answers

Increasing the compounding interval from annual to daily has a positive impact on the future value of an investment and a negative impact on the present value of an investment.

The compounding interval refers to the frequency at which interest is calculated and added to the balance of an investment. Increasing the compounding interval from annual to daily will impact the future value and present value of an investment.

Future value of an investment: The future value of an investment increases with a higher compounding interval. With daily compounding, interest is calculated and added to the balance more frequently, leading to a higher future value of the investment. This is because each new interest calculation builds on the previous interest, which compounds over time to increase the overall value of the investment.Present value of an investment: The present value of an investment decreases with a higher compounding interval. This is because with a higher compounding interval, the expected future value of the investment is higher, making the present value lower. The present value represents the value of an investment today, and a higher future value means that the investment is worth more in the future, making the present value lower.

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A total of 444 tickets were sold for a school play. They were either adult tickets or student tickets. There were 56 fewer student tickets sold than adult tickets. How many adult tickets were sold?

Answers

Answer:

250 adult tickets

Step-by-step explanation:

s = number of student tickets

a = number of adult tickets

s = a - 56  ==> 56 fewer student tickets sold than adult tickets

s + a = 444   ==> 444 total tickets were sold

(a - 56) + a = 444  ==> plug in a - 56 for s to solve for one variable

a - 56 + a = 444

a + a - 56 = 444  ==> combine like terms

2a - 56 = 444

2a = 500  ==> add 56 on both sides

a = 250 adult tickets

s:

s + a = 444

s + 250 = 444 ==> plug in 250 for a

s = 194 student tickets sold

a - s = 56

250 - 194 = 56 √

Hence, the difference between the number of student and adult tickets is 56.

In a triangle ABC with an orthocenter O, prove that angle BOC plus angle BAC equal to 180°​.
Prove: <BOC + <BAC = 180°​

Answers

This can be proved by considering triangle BOC and triangle BAC as right triangles. The sum of the angles in a triangle is 180°, and in a right triangle, one of the angles is 90°. So, in each of triangles BOC and BAC, the sum of the other two angles must be 90°.

What is a triangle?

A triangle is a geometric shape that consists of three points, called vertices, connected by three line segments, called sides. The sum of the interior angles of a triangle is always 180 degrees. Triangles can be classified based on their sides (equilateral, isosceles, scalene) and their angles (acute, right, obtuse).

Hence, the sum of angle BOC and angle BAC must be 180°

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3. For a different shipment, cars are loaded first, and then trucks are loaded afterwards. a. Write an equation you could enter into a calculator or a spreadsheet tool to find the number of trucks that can be shipped if the number of cars is known. SEMI
b. Use vour equation and a calculator or a computer to find the number of trucks that can be shipped if the cargo already has 1,000 cars. What if the cargo already has 4,250 cars?

Answers

a) The solution to the equation is y = ( 21,600 - 3.6x ) / 7.5 , where y is the number of trucks and x is the number of cars

b) when x = 1,000 cars , y = 2,400 trucks and

when x = 4,250 cars , y = 840 trucks

What is an Equation?

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

It demonstrates the equality of the relationship between the expressions printed on the left and right sides.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

Given data ,

Let the equation be represented as A

Now , the value of A is

Let the number of cars be x

Let the number of trucks be y

The total cargo the ship can hold = 21,600 tons

The weight of one car = 3.6 ton

The weight of one truck = 7.5 tons

Now , the equation will be

3.6x + 7.5y = 21,600

On simplifying the equation , we get

Subtracting 3.6x on both sides of the equation , we get

7.5y = ( 21600 - 3.6x )

Divide by 7.5 on both sides of the equation , we get

y = ( 21,600 - 3.6x ) / 7.5

The number of trucks y = ( 21,600 - 3.6x ) / 7.5

b)

Now , when x = 1000 cars

Substitute the value of x in the equation , we get

y = ( 21,600 - 3.6 ( 1000 ) ) / 7.5

y = 2,400 trucks

And , when x = 4250 cars

Substitute the value of x in the equation , we get

y = ( 21,600 - 3.6 ( 4250 ) ) / 7.5

y = 840 trucks

Hence , the equation is y = ( 21,600 - 3.6x ) / 7.5

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Write the "to prove" statement for the following theorem.
If one angle of a triangle is 90°, then the other two add to 90°.

Answers

To prove: If one angle of a triangle is 90°, then the sum of the other two angles is equal to 90°. is sum of angles on a triangle is 180 degrees

What is sum of angles on a triangle?

In a triangle, the sum of the interior angles in the triangle is 180 degrees

For right triangle, that is angle that has one side as 90 degrees, the sum of the other two sides will be 90 degrees

Assuming the other angles are x and y, then a side is 90 degrees

x + y + 90 = 180 (sum of interior angles on a triangle)

x + y = 180 - 90

x + y = 90 degrees

hence the sum of the interior angles is 90 degrees

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Pierre is 3 years older than his brother, Claude. 1. Write an equation that represents how old Pierre is (p) when Claude is c years old.

Answers

The equation which is used to represent the ages of Pierre and Claude is given by p = c + 3.

The question can be formulated in the form of Linear equation in two variables.

Linear equation in two variables can be written in the form of ax + by = c where a, b and c are constant terms and x, y are independent and dependent variables respectively. Here in this question the age of Pierre is represented as p and the age of Claude is represented as c. Since, Pierre is 3 years older than Claude then the equation representing their age can be formulated as:

p = c + 3 where p is Pierre's age and c is Claude's age and this represents that Pierre's age will be given when we will add 3 years more in the age of Claude.

Thus, the equation representing the age of Pierre is p = c + 3.

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Answer:

p=c+3

20 years old

Step-by-step explanation:

You have a beginning balance of $200.00. You purchase groceries at Albertson’s on November 13th, 2004 for $42.63. Next you receive a check on November 14th, 2004 for $20.45 and deposit into your account. Finally, you write another check to Ms. Talisman on November 15th, 2004 for a textbook that costs $35.10.

Answers

The ending balance on your account on November 15, 2004, was $142.72.

What is the ending balance?

The ending balance is the arithmetic difference between the beginning balance, deposits, and withdrawals, including interest and finance charges.

To determine the ending balance, add all deposits to the beginning balance and deduct all charges against the account

Beginning balance                           $200.00

Nov. 13, 2004 Groceries Purchase    $42.63    $157.37

Nov. 14 Deposit                                   $20.45   $177.85

Nov. 15, 2004 Check for textbook     $35.10   $142.72

Thus, based on your beginning balance, deposits, purchases, and checks, the ending balance has been determined as $142.72.

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Question Completion:

Indicate your remaining balance.​

Luis tiene bolitas azules y rojas.
Cada día gana 2 bolitas azules y pierde
3 rojas.
Al cabo de 5 días tiene igual cantidad de azules que de rojas.
Al cabo de 9 días tiene el doble de azules que de rojas.
¿Cuántas bolitas rojas tenía al principio?

Answers

Answer:

47

Step-by-step explanation:

a = número original de bolitas azules

r = número original de bolitas rojas

Al cabo de 5 días:

a + 5 × 2 = r - 5 × 3

Al cabo de 9 días:

a + 9 × 2 = 2(r - 9 × 3)

a + 10 = r - 15

a + 18 = 2r - 54

a = r - 25

a + 18 = 2r - 54

a = r - 25

r - 25 + 18 = 2r - 54

a = r - 25

-r = -47

r = 47

Answer: 47

Is the given set, taken with the usual addition and scalar multiplication, a vector space? Give reason. If your answer is yes, find the dimension and basis. A. All skew-symmetric 3 times 3 matrices. B. All functions y(x) = a cos(2x) + b sin(2x) with arbitrary real constants a and b.

Answers

A. No, B. Yes, dimension is 2 and basis is y(x) = cos(2x), y(x) = sin(2x).

A. No, this set is not a vector space. The set of all skew-symmetric 3x3 matrices does not contain the zero matrix, which is a requirement for a vector space.

B. Yes, this set is a vector space. The dimension is 2, and the basis is the functions y(x) = cos(2x) and y(x) = sin(2x). To verify this is a vector space, we need to check that the set is closed under addition and scalar multiplication. For arbitrary real constants a and b, the function y(x) = a cos(2x) + b sin(2x) is a linear combination of the basis vectors. This means that it is closed under addition and scalar multiplication, so the set is a vector space

A. No, B. Yes, dimension is 2 and basis is y(x) = cos(2x), y(x) = sin(2x).

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Solving inequalities #2

Answers

White dots mean < so this inequality is -1So the number can be -1,0 or 1 ;)
The inequality is 1
Cause it starts from negative 1 and ends at 2 whereas in between there’s 1

Math pre-calculus NEED HELP ASAP I’m doing this right now please someone give me the right answers

Answers

3) The value of function is,  cos² θ

4) The value of function are,

⇒ cos 3π/2 = - 1

⇒ sin 5π/3 = - √3/2

5) The value of k is, 4.

What is an expression?

Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.

3) The function is,

⇒ sin θ cos θ / tan θ

Simplify as;

⇒ sin θ cos θ / (sin θ / cos θ)

⇒ cos² θ

4) The value of function are,

⇒ cos 3π/2 = cos (π + π/2)

                  = - cos (π/2)

                  = - 1

⇒ sin 5π/3 = sin (2π - π/3)

                 = - sin π/3

                 = - √3/2

5) The expression is,

⇒ √(2k² + 17) - x = 0

⇒ √2k² + 17 = x

Square both side,

⇒ 2k² + 17 = x²

Substitute x = 7;

⇒ 2k² + 17 = 7²

⇒ 2k² + 17 = 49

⇒ 2k² = 49 - 17

⇒ 2k² = 32

⇒ k² = 16

⇒ k = 4

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Which of the following arguments are valid? [At least one of the arguments is valid.] No polynomial functions have horizontal asymptotes. This function does not have a horizontal asymptote. ... This function is a polynomial function. Any function that is a polynomial will not approach a fixed value as its input grows without bound, positive or negative. This function approaches the value 0 as its input grow without bound in both the positive and negative directions. ... This function is not a polynomial No polynomial functions have horizontal asymptotes. This function has a horizontal asymptote. ... This function is not a polynomial function. No polynomial functions have horizontal asymptotes. This function is a polynomial function. This function does not have a horizontal asymptote.

Answers

Answer:

Sera drove 450 miles (y) and his car used 18 gallons (x) of gas. How many gallons of gas will Sera use if she drives 875 miles?

1. Identify x:

2. Identify y:

3. Calculate k using k =y/x:

4. Write an equation for the proportional relationship using y =kx:

5. Solve the problem and show your work: How many gallons of gas will Sera use if she drives 875 miles?

Step-by-step explanation:

Sera drove 450 miles (y) and his car used 18 gallons (x) of gas. How many gallons of gas will Sera use if she drives 875 miles?

1. Identify x:

2. Identify y:

3. Calculate k using k =y/x:

4. Write an equation for the proportional relationship using y =kx:

5. Solve the problem and show your work: How many gallons of gas will Sera use if she drives 875 miles?

What is the area of the shape?
24
10
25
hint: decompose the shape into rectangle and triangle

Answers

The solution is, the area of the given figure is 156 ft^2.

What is area of trapezoid?

The area of a trapezoid is found using the formula, A = ½ (a + b) h,

where 'a' and 'b' are the bases (parallel sides) and 'h' is the height .

here, we have,

from the given figure , we get,

the trapezoid's,

parallel sides are, 10 ft. & 3ft.

height =24 ft.

so, area = ½ (a + b) h,

i.e. A =156ft^2

Hence, The solution is, the area of the given figure is 156 ft^2.

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Is the question below
(one solution)
(infinite number of solutions) or
(no solution)

Answers

The graph of the equation shown above has infinite number of solutions.

What is no solution?

In Mathematics, no solution is sometimes referred to as zero solution, and an equation is said to have no solution when the left hand side and right hand side of the equation are not the same or equal.

What are infinitely many solutions?

In Mathematics, an equation is said to have an infinitely many solution (infinite number of solutions) when the left hand side and right hand side of the equation are the same or equal.

Since the line representing this equation extends infinitely, we can reasonably infer and logically deduce that it has infinitely many solution (infinite number of solutions). Therefore, every point located on this line would satisfy the equation.

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The solid below is made from centimeter cubes. Find the total surface area of the solid. Be sure to include the correct unit in your answer.

Answers

The total surface area of the solid cubes is 62 cm².

Your question is incomplete but most probably your full question was:

The solid below is made from 1 centimeter cubes. Find the total surface area of the solid. Be sure to include the correct unit in your answer.

A 1 cm cube has length = width = height = 1 cm.

So area of cube = length x length 1× 1= 1cm²

Consider a particular body view or part.

Left Surface Area = Right Surface Area = 1 × 10 = 10 cm²

Front area = Back area = 1x 9 = 9 cm²

Its plan area = its floor area = 1 x 12= 12 cm²

Total solid surface area = 10 + 10 + 9+9+12+12 = 62cm²  

What is cube

A cube is a geometric shape where all the sides are square and all the edges are the same length. Examples of these shape objects include rubik's cubes, dice, and gift boxes.

Cube properties It has six square sides All sides of a cube have the same size and dimensions All angles of the cube form a 90 degree plane line Each side of the cube is opposite the other four sides and is the same size Has 12 ribs of the same length Has 12 diagonal sides or diagonal fields It has four diagonal spaces Has six diagonal rectangular fields.

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lesson 15 hinduism assingment

Answers

Vaishyas were merchants and farmers, Shudras were manual laborers, and Dalits, also known as Untouchables, were considered outside the caste system and faced significant social and economic discrimination.

How to explain the social caste

These are the traditional castes or social classes in Hinduism. The Brahmins were highly respected as they were members of this highest caste. Priest, scholars, and teachers were some of the jobs in this cast so I chose praying hands and a book to represent them.

The praying hands shows they were religious leaders who passed down oral and written traditions. The book represents the teachers in this caste, they would share knowledge and Information about their way of life.

Kshatriyas were warriors and rulers,

However, the caste system has been officially abolished in India, and discrimination based on caste is now illegal.

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What is the inequality shown?
45 POINTS!!

Answers

Answer:

x <  1

Step-by-step explanation: A closed dot means "includes" such as ≤ and ≥. An open dot means that it does not include the integers in the direction the arrow is pointing so the symbols are: <, or >. Think of it as closed dot: case closed know answer, and open dot the question is up or open for discussion. meaning it could be ANY of the integers the arrow is pointing.

Suppose that the perimeter of a rectangle is 34 feet, and the length is 7 feet more than the width. Find the width of the rectangle, in feet.

Answers

Answer:

5 feet

Step-by-step explanation:

Let's call the width of the rectangle "w". Then, the length would be "w + 7".

The perimeter of the rectangle is given as 34 feet, so we can set up an equation using the two sides of the rectangle:

2w + 2(w + 7) = 34

Expanding the second term and simplifying the equation, we get:

2w + 2w + 14 = 34

4w + 14 = 34

4w = 20

w = 5

Therefore, the width of the rectangle is 5 feet.

Write a polynomial function of least degree that has the following zeros. 3,6 square root of 6

Answers

there are four factors, giving it a fourth degree. This is the polynomial function of least degree that has the zeros 3, 6, and √6.

f(x) = (x - 3)(x - 6)(x - √6)(x + √6)

We start by listing out the zeros

3, 6, √6

Now, we can write the polynomial function of least degree that has these zeros

f(x) = (x - 3)(x - 6)(x - √6)(x + √6)

Note that this is a fourth degree polynomial because it has four factors.

We can write a polynomial function of least degree that has the following zeros: 3, 6, and √6. This polynomial function is a fourth degree polynomial, which means it has four factors. We can write it as f(x) = (x - 3)(x - 6)(x - √6)(x + √6). This polynomial function has the zeros 3, 6, and √6, and any other x-value that makes the equation equal to 0. The degree of the polynomial depends on how many factors are in the equation, and in this case, there are four factors, giving it a fourth degree. This is the polynomial function of least degree that has the zeros 3, 6, and √6.

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The graphs below have the same shape. What is the equation of the blue graph?
A. G(x) = (x - 1)^2 - 3
B. G(x) = (x - 1)^2 + 3
C. G(x) = (x + 1)^2 - 3
D. G(x) = (x + 1)^2 + 3

Answers

A. is the correct answer

The graph of y = |x| is reflected across the x-axis and then scaled vertically by a factor of
1/4

What is the equation of the new graph?

A.y= -4|x|
B.y= |x| -4
C.y= -1/4 |x|
D.y= |x-4|

Answers

The most appropriate choice for dilation and vertical dilation will be given by:

Equation of new graph => C.y= -1/4 |x|

What is  dilation and vertical dilation?

Dilation is the process of changing the dimension of an object by some scale factor.

Suppose the scale factor is K. Let the equation be y=f(x) . Then vertical dilation of  is y= K.f(x)

Here, we have,

y = |x| ,

is reflected across the x-axis

Equation after reflection from x - axis = - |x|

Now, y = - |x|, is  scaled vertically by a factor of 1/4

Equation of new graph => y= -1/4 |x|

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A figure can have more than one line of symmetry.
How many lines of symmetry does this flag have?
(Hint: How many ways can you cut the figure in
half?)

Answers

The number of lines of symmetry that the flag has is; 2

How to identify the lines of symmetry?

A line of symmetry is defined as the line that divides a shape or an object into two equal and symmetrical parts.

The given flag represents a rectangle and we know that there are 2 symmetry lines of a rectangle which are from its length and breadth. These two symmetry lines cut the rectangle in two similar halves which are mirror images of each other.

Thus, this flag given will have 2 symmetry lines.

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the graph shows the relationship between miles and kilometres​

Answers

Graph shows the relationship between miles and kilometers​ so 20 mile = 32.2 km and 64 km= 39.768 mile.

One mile equals how many miles?

A survey mile is equal to 1609.344 / (1200/3937 5280) (=0.999998) international miles. Before the 1959 international yard and pound agreement, which determined the yard to be precisely 0.9144 meters, the actual length of the land mile varied somewhat across English-speaking nations, yielding a mile of exactly 1,609.344 meters.

we know that :-

1 mile = 1609.344 km

1 km = 0.621 miles

a) 20 miles= 20* 1609.344 km= 32.187km = 32.2km

b) 64km = 64*0.621 miles = 39.744 miles

So, Relationship between miles and kilometers​ so 20 mile = 32.2 km and 64 km= 39.768 mile.

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