The interior angles formed by the sides of a regular octagon have measures that total 1080. What is the measure of each angel

The correct statement regarding the two functions is given as follows:

f(1) = g(1).

Considering the graph containing the equations for the system, the solution of the system of equations is given by the point of intersection of all the equations of the system.

The point of intersection for this problem is given as follows:

(1,3).

Which means that at x = 1, function f(x) and g(x) have the same numeric value, thus the correct statement is given as follows:

f(1) = g(1).

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Answer: The problem states that the proportion of people who throw away a portion of what they buy at the grocery store is p = 0.4. We want to find the probability that the sample proportion exceeds a certain value, which we will denote as p-hat.

The sample size is n = 100, which is large enough to use the normal approximation to the binomial distribution.

The formula for the standard error of the sample proportion is:

SE = sqrt[p * (1 - p) / n]

Substituting the values given in the problem, we get:

SE = sqrt[0.4 * 0.6 / 100] = 0.049

To find the z-score corresponding to a sample proportion of , we use the formula:

z = (p-hat - p) / SE

Substituting the values given in the problem, we get:

z = ( - 0.4) / 0.049 = -2.04

Using a standard normal table, we find that the probability of obtaining a z-score of -2.04 or lower is 0.0207. Therefore, the probability that the sample proportion exceeds is approximately 0.0207, rounded to three decimal places.

Step-by-step explanation:

The rounded number to 1 significant figure is 10000m.

Significant figures are a way of indicating the precision of a measurement or calculation. They represent the digits in a number that are known with certainty, plus one additional digit that is estimated. The rules for determining significant figures include:

Significant figures are important because they allow us to communicate the accuracy and precision of a measurement or calculation. By using the appropriate number of significant figures, we can avoid misleading others with inaccurate or imprecise information.

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4,396 flowers are needed to surrond the circular garden.

We know that the circumference of a circle of radius R is:

C = 2*3.14*R

Here the radius is 175ft, then the circumference is:

C = 2*3.14*175ft = 1,099ft

And we know that:

1ft = 12in

Then the circumference in inches is:

1,009*12 in = 13,188 in

If each flower is separated by 3 inches, the number needed is:

13,188 in/3in = 4,396 flowers.

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Answer:

To find the probability of choosing a hat, we divide the number of hats by the total number of choices = #hat / #clothes = 5 / (5+10+15+20) = 5 / 50 = 1 / 10 = 0.1.

Step-by-step explanation:

Answer: 7/9

Step-by-step explanation:

To find how many reams of paper the printing press used for each book, we need to divide the total number of reams used by the number of books printed.

Let's convert 2 1/3 reams of paper to an improper fraction:

2 1/3 = (2 × 3 + 1) / 3 = 7/3

So the printing press used 7/3 reams of paper to print 3 books. To find how many reams of paper were used per book, we can divide the total amount of paper used by the number of books:

(7/3) ÷ 3 = 7/9

Therefore, the printing press used 7/9 of a ream of paper for each book.

The surface area for each package is given as follows:

Hence:

Package A has the greater surface area.

The surface area of a rectangular prism of height h, width w and length l is given by:

S = 2(hw + lw + lh).

This means that the area of each rectangular face of the prism is calculated, and then the surface area is given by the sum of all these areas.

For Package A, the dimensions are given as follows:

l = 14 in, h = 12 in, w = 3 in.

Hence the surface area is given as follows:

S = 2 x (12 x 3 + 14 x 3 + 12 x 14)

S = 492 in².

For Package B, the dimensions are given as follows:

l = 11 in, h = 6 in, w = 8 in.

Hence the surface area is given as follows:

S = 2 x (11 x 6 + 11 x 8 + 6 x 8)

S = 404 in².

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The equivalent expression of this 19 - 6(-k + 4) will be 6k + 5.

Given that:

Expression, 19 - 6(-k + 4)

The equivalent is the expression that is in different forms but is equal to the same value.

The definition of simplicity is making something simpler to achieve or grasp while also making it a little less complicated.

Simplify the expression, then we have

⇒ 19 - 6(-k + 4)

⇒ 19 + 6k - 24

⇒ 6k - 5

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There is a volume of  14,000 gallons of water in the tank after 4 minutes.

To answer your question, let's consider the given terms: the rate at which water is poured into the tank (2000t + 1000 gallons per minute) and the initial volume of water in the tank (5000 gallons).

Since the rate is given in terms of time t, we can find the volume of water poured in after 4 minutes by plugging t = 4 into the rate equation:

Volume poured in 4 minutes = 2000(4) + 1000
Volume poured = 8000 + 1000
Volume poured = 9000 gallons

Now, add this to the initial volume of water in the tank:

Total water in tank after 4 minutes = Initial volume + Volume poured
Total water = 5000 + 9000
Total water = 14,000 gallons

So, after 4 minutes, there are 14,000 gallons of water in the tank.

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To price the derivative using the two-period binomial model, we need to calculate the expected payoff of the derivative using the risk-neutral probabilities.

The possible outcomes for the two-period binomial model are H and T,  there are four possible states of the world: HH, HT, TH, and TT.

To calculate the expected payoff we need to calculate the probability of each state occurring. The probability of HH occurring is pp=0.60.6=0.36, the probability of HT and TH occurring is pq+qp=0.60.4+0.40.6=0.48, and the probability of TT occurring is qq=0.40.4=0.16.

Next, we can calculate the expected payoff in HH and TT states, the derivative pays off 1, and in the HT and TH states, the derivative pays off 0. The expected payoff of the derivative in the HH and TT states is 10.36=0.36, and the expected payoff in the HT and TH states is 00.48=0.

We need to discount the expected payoffs back to time 0 using the risk-neutral probabilities.

The probability of that state occurring multiplied by the discount factor, which is 1/(1+r), where r is the risk-free interest rate.

Since this is a risk-neutral model, the risk-free interest rate is equal to 1. Therefore, the risk-neutral probability of each state occurring is

HH: 0.36/(1+1) = 0.18

HT/TH: 0.48/(1+1) = 0.24

TT: 0.16/(1+1) = 0.08

Finally, we can calculate the price of the derivative

Price = 0.181 + 0.240 + 0.240 + 0.081 = 0.26

Therefore, the price of the derivative is 0.26.

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An association class is frequently required for a many-to-many relationship.

In object-oriented programming, an association class is a class that is used to represent an association between two or more other classes. An association class is typically used when the relationship between the other classes is many-to-many, which means that each instance of one class can be associated with multiple instances of another class, and vice versa.

For example, consider a database that stores information about students and the courses they are enrolled in. Each student can be enrolled in multiple courses, and each course can have multiple students.

To represent this many-to-many relationship between students and courses, we can create an association class called "Enrollment" that has attributes such as the date of enrollment and the grade received. The Enrollment class would have a many-to-one relationship with both the Student class and the Course class.

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An association class is frequently required for a "c. many to many" relationship. therefore, option c. many to many is correct.

In this type of relationship, multiple instances of one class can be associated with multiple instances of another class.

The association class helps to capture additional information about the relationship between these instances.

An association class is most commonly required for a many-to-many relationship between two classes.

a relationship that explains the causes of the relationship and the rules that control it between two classifiers, such as

classes or use cases.

An association class is frequently required for a "c. many to many" relationship. therefore, option c. many to many is correct.

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Gary's average speed is approximately 44.4 mph. This is found by dividing the total distance traveled (800 miles) by the total time taken (18 hours) and rounding to the nearest tenth.

To calculate Gary's average speed, we need to use the formula

Average speed = Total distance ÷ Total time

In this case, the total distance is 800 miles, and the total time is 18 hours. So we can plug these values into the formula and simplify

Average speed = 800 miles ÷ 18 hours

Average speed = 44.444444... miles per hour

Rounding to the nearest tenth, we get

Average speed ≈ 44.4 miles per hour

Therefore, Gary's average speed during his 800-mile trip was approximately 44.4 miles per hour.

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Answer:1288

Step-by-step explanation:

Answer:  1,288.

The Picture Below and the explanation

Step-by-step explanation: You Multiply 6 times 8 to get 48. Then you put 4 on top of 46. Next, you multiply 4 times 8 and add 4 to add 36 as two digits below the first line of multiplication. Next, you cross out the 8 then you do a new set of multiplication starting with 6 times two which is 12 carry the one above four in a different direction ( it might look like a capital I but it is just 1). Then, multiply 4 times 2 plus 1 is 9. Last, you add 368+920= 1,288 and there is your answer. I hope this will help.

Using composite figures, we can find that the area of the shape is 18unit² and the perimeter of the shape is 20 + √8 units.

A composite shape is a shape that is made by connecting a few polygons to form a different shape. These shapes or figures can be formed from a variety of shapes, including triangles, squares, quadrilaterals, etc. Divide a composite item into basic forms such a square, triangle, rectangle, or hexagon to get its area.

In essence, a composite shape is a combination of fundamental shapes. It goes by the name's "composite" or "complex" shapes.

In this composite figure,

We have 2 rectangles and a triangle.

Dimension of rectangle:

Base = 2units

Height = 2 units.

Hypotenuse = √ (2² + 2²)

= √8

Area of the triangle = 1/2 × b × h

= 1/2 × 2 × 2

= 2unit².

Now, the rectangles are equal in shape and size.

Dimensions are:

Length = 4 units

Breadth = 2 units.

Area = l × b

= 4 × 2

= 8unit².

We have 2 rectangles so total area = 2 × 8

= 16unit².

Total area of the shape = area of triangle + area of 2 rectangles

= 2 + 16

= 18unit²

Now coming to the perimeter of the shape, we have to find the sum of the measure of the sides of the shape:

So, we have

2 + 4 + 2 + 6 + 6 + √8

= 20 + √8 units.

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Answer:

780

Step-by-step explanation:

To find out what number 117 is 15% of, you can use the following formula

(15/100) x n = 117

where n is the number you're trying to find.

To solve for n, you need to isolate it on one side of the equation. You can do this by dividing both sides by (15/100):

n = 117 / (15/100)

n = (117 x 100) / 15

n = 11700 / 15

n = 780

Therefore, 117 is 15% of 780.

Answer: 7x+4y=12 answer is x = (12/7, 0) and y (0,3) and the x+2y=-4 is

x intercepts (-4,0) and y intercepts is (0,-2)

Step-by-step explanation:

Add to one side and then divide

The measure of ∠CFE is 40°

To solve for triangle ∠CEF, we know that

Parallel to DE is BC

Arc length BD = 58°

Arc length DE = 142°

We can then draw a diameter across the center of the circle and give it a name as the first step. The diameter in this situation is line ZT.

The arcs BD and DE are split in half by the line ZT.

Which is:

Arc SC = 1/(1/2(arc BC) = 1/(58)

Arc SC = 29°

142 = 1/2(arc DE) + arc TE

Arc TE = 71°

Sum of the angles of a semicircle is 180 degrees: Arc SC + Arc CE + Arc TE

29° + Arc CE + 71° = 180°

Arc CE + 100° = 180°

Arc CE = 180-100

Arc CE = 80°

Angle inscribed equals half of angle intercepted

CFE = 1/2 of Arc CE

<CFE = 1/2(80)

< CFE = 40°

The above answer is based on the full question below;

In circle A shown, BC || DE , mBC=58° and mDE=142°. Determine the measure of ZCFE . Show how you arrived at your answer

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Answer:

z > - [tex]\frac{11}{9}[/tex]

Step-by-step explanation:

7z + 7 > - 2z - 4

9z + 7 > -4

9z > - 11

z > - [tex]\frac{11}{9}[/tex]

Answer: 5 (first round) + 25 (second round) + 125 (third round) + 625 (fourth round) = 780

So, at the end of 4 rounds, including Jacob himself, 780 people will have gotten fliers.

Step-by-step explanation: In the first round, Jacob hands out fliers to 5 people.

In the second round, each of the 5 people from the first round hands out 5 fliers to 5 other people. So, there are now 5 x 5 = 25 people with fliers (including the original 5).

In the third round, each of the 25 people from the second round hands out 5 fliers to 5 other people. So, there are now 25 x 5 = 125 people with fliers (including the original 5 and the 25 from the second round).

In the fourth round, each of the 125 people from the third round hands out 5 fliers to 5 other people. So, there are now 125 x 5 = 625 people with fliers (including the original 5, the 25 from the second round, and the 125 from the third round).

Answer:

Step-by-step explanation:

see it simple it's not asking quite much if I do my calculation right it would be 8[tex]\pi[/tex]

The equation of the circle centered at (4, -5) with radius 7 is (x - 4)²+ (y + 5)² = 49.

A circle is a two-dimensional form that may be described as a collection of points (locus) that are equally spaced apart from a central fixed point. The radius of a circle is the separation between its centre and any other point on the circle. Another way to think of a circle is as the collection of all points at a certain radius from the centre.

The equation of a circle with center (h, k) and radius r is given by:

(x - h)² + (y - k)²= r²

In this case, the center of the circle is (4, -5), and the radius is 7. So the equation of the circle is:

(x - 4)² + (y - (-5))² = 7²

(x - 4)² + (y + 5)² = 49

Therefore, the equation of the circle centered at (4, -5) with radius 7 is (x - 4)² + (y + 5)² = 49.

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Sara used 3/5 cup of milk in the recipe. The answer corresponds to option (B) in the given answer choices.

The total amount of liquid used by Sara in the recipe is 1 cup. Out of this 1 cup, Sara used 2/5 cup of vinegar. Therefore, the amount of milk she used would be the difference between the total amount of liquid used and the amount of vinegar used.

Mathematically, we can represent this as:

Amount of milk = Total amount of liquid - Amount of vinegar

Amount of milk = 1 cup - 2/5 cup

Simplifying the expression on the right side, we get:

Amount of milk = 5/5 cup - 2/5 cup

Amount of milk = 3/5 cup

Therefore, Correct option is B.

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Complete question is:

Sara used a total of 1 cup of liquid for a recipe. She used 2/5 cup of vinegar, and the rest of the liquid she used was milk.

How much milk, in cups, did sara use for the recipe?

A) 2/5

B)3/5

C)5/5

D) 1 2/5​

We have shown that the diagonals of rectangle MNOP bisect each other and are congruent.

In geometry, a diagonal is a line segment connecting two non-adjacent vertices of a polygon, such as a triangle, quadrilateral, or higher-order polygon. For example, in a rectangle, the diagonals are the line segments connecting opposite corners.

A diagonal can also refer to a line segment connecting two opposite corners of a three-dimensional solid, such as a cube or rectangular prism.

In many cases, diagonals have important properties and can be used to solve geometric problems. For example, in a rectangle, the diagonals are congruent and bisect each other. In a regular polygon with n sides, the number of diagonals can be calculated using the formula (n(n-3))/2. The length of a diagonal in a right triangle can be found using the Pythagorean theorem.

To show that the diagonals of rectangle MNOP bisect each other, we need to prove that the midpoint of diagonal MP is the same as the midpoint of diagonal NO.

Let's find the coordinates of the midpoints of MP and NO:

Midpoint of MP:

((x1 + x2)/2, (y1 + y2)/2)

= ((-7 + 5)/2, (1 - 7)/2)

= (-1, -3)

Midpoint of NO:

((x1 + x2)/2, (y1 + y2)/2)

= ((5 - 7)/2, (1 - 7)/2)

= (-1, -3)

As we can see, the midpoint of MP and NO are both (-1, -3), which means the diagonals bisect each other.

To show that the diagonals of rectangle MNOP are congruent, we need to find the length of both diagonals and prove that they are equal.

Let's find the length of diagonal MP:

MP = √((5 - (-7))² + ((-7) - 1)²)

= √(12² + (-8²)

= √(144 + 64)

= √(208)

Let's find the length of diagonal NO:

NO = √((5 - (-7))² + (1 - (-7)²)

= √(12² + 8²)

= √(144 + 64)

= √(208)

As we can see, the length of both diagonals is sqrt(208), which means the diagonals are congruent.

Therefore, we have shown that the diagonals of rectangle MNOP bisect each other and are congruent.

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The area of 0.6808 to its left using the Standard Normal Table.

steps: 1. Identify the area: In this case, the area to the left of the z-score is given as 0.6808.

2. Consult the Standard Normal Table: This table shows the area to the left of various z-scores, ranging from negative to positive values.

3. Locate the closest area value: Look for the value in the table that is closest to the given area (0.6808). The table is typically organized into rows and columns, with the row header representing the first two digits of the z-score and the column header representing the third digit.

4. Identify the z-score: Once you've found the closest area value, determine the corresponding z-score by combining the row and column headers where the value is located.

Upon checking the Standard Normal Table, the closest area value to 0.6808 is 0.6800, which corresponds to a z-score of 0.47.

Keep in mind that the Standard Normal Table may not have the exact area value of 0.6808, so you need to find the closest possible value.

In summary, the z-score with an area of 0.6808 to its left using the Standard Normal Table is approximately 0.47.

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Each box needs to have a minimum space of 576 cubic inches to hold the toy.

What is a cuboid?

A cuboid is a three-dimensional solid shape that has six rectangular faces, where each face meets at right angles with adjacent faces.

To calculate the space required for each box to hold a toy that is 8 inches tall by 12 inches wide and 6 inches deep, we need to calculate the volume of the toy.

The volume of the toy can be calculated as:

Volume = height x width x depth

Volume = 8 inches x 12 inches x 6 inches

Volume = 576 cubic inches

Therefore, each box needs to have a minimum space of 576 cubic inches to hold the toy.

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Answer:

24 points

Step-by-step explanation:

Maria scored a total of 6 points, and Suzanne scored 4 times as many.

something times as many, means to multiply, so 6 x 4=24 points total

The sample space of the spinner after spinning it twice is given by { (A, A) , (A, B ) , (A, C ), (A, D ) , ( B, A ), ( B, B ) , ( B, C ) ,  ( B, D ) ,  ( C, A ),

(C, B ) , ( C, C ) , (C, D ) , ( D, A ) , ( D, B ) , ( D, C ) , ( D, D ) }

Game played by Savannah using a spinner.

She spin the spinner twice.

To create a sample space for two spins of a spinner,

List all the possible outcomes of the first spin in one column.

And then list all the possible outcomes of the second spin in another column.

Then combine each outcome from the first column with each outcome from the second column to create all possible pairs of outcomes.

For example, suppose the spinner has 4 equally sized sections labeled A, B, C, and D.

The sample space for two spins would be,

{ (A, A) , (A, B ) , (A, C ), (A, D ) , ( B, A ), ( B, B ) , ( B, C ) ,  ( B, D ) , ( C, A ),

(C, B ) , ( C, C ) , (C, D ) , ( D, A ) , ( D, B ) , ( D, C ) , ( D, D ) }

Here, there are 16 possible outcomes for two spins of the spinner.

Therefore, the sample space of all possible outcomes of two spins is equal to  { (A, A) , (A, B ) , (A, C ), (A, D ) , ( B, A ), ( B, B ) , ( B, C ) ,  ( B, D ) ,  ( C, A ), (C, B ) , ( C, C ) , (C, D ) , ( D, A ) , ( D, B ) , ( D, C ) , ( D, D ) } .

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Answer:

Step-by-step explanation:

Therefore, the sample space of all possible outcomes of two spins is equal to  { (A, A) , (A, B ) , (A, C ), (A, D ) , ( B, A ), ( B, B ) , ( B, C ) ,  ( B, D ) ,  ( C, A ), (C, B ) , ( C, C ) , (C, D ) , ( D, A ) , ( D, B ) , ( D, C ) , ( D, D ) } .

Answer: a=2 b= -2 c= -2

Step-by-step explanation: you replace y with a and you plug the x for them in so a= -1^2 -3 (-1) - 2 and you solve that to equal 2 then you solve for the others