Olivia's Cupcake Shoppe sells small and large cupcakes in three flavors.
Niamh paid $3 for a cupcake with buttercream icing.
Bethany bought a small vanilla cupcake.
Mateo paid $3.50 for a cupcake with strawberry icing
and a chocolate cupcake.
Use the axioms to make two conclusions about the
cakes that were purchased

The pair of angles ∠4 and ∠5 should be classified as corresponding angles.

In Mathematics, corresponding angles can be defined as a postulate (theorem) which states that corresponding angles are always congruent when the transversal intersects two (2) parallel lines.

This ultimately implies that, the corresponding angles will be always equal (congruent) when a transversal intersects two (2) parallel lines.

By applying corresponding angles theorem to parallel lines h and k, we have the following:

∠1 ≅ ∠8

∠3 ≅ ∠6

∠4 ≅ ∠5

∠7 ≅ ∠2

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The answer to thus question is 140 degrees.

To solve this problem we must know about vertical angles,

Vertical angles are always congruent (congruent means having the same measure or size). Therefore, if one angle measures x degrees, the other angle also measures x degrees. If we know that one of the angles measures 40 degrees, we can use that information to find the measure of the other angle, which is x.

Since the angles are vertical angles, the sum of both angles will be equal to 180 degrees, therefore

x + 40 = 180

        x = 140

Therefore, the value of x is 140 degrees.

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Answer:

Phone 1 will allow Ellie to talk the longest

Step-by-step explanation:

Phone 1:

     (0.10x) + 6 = y

(0.10x) + 6 - 6 = 22 - 6

     0.10/0.10x = 16/0.10

                    x = 160 minutes

Phone 2:

      (0.25x) + 5 = y

(0.25x) + 5 - 5  = 22 - 5

     0.25/0.25x = 17/0.25

                      x = 68 minutes

Answer:

Check pdf

Step-by-step explanation:

The sorted array after applying the PARTITION algorithm using the first element (5) as the pivot.

To illustrate the operation of the PARTITION algorithm on the given array {5, 1, 2, 7, 9, 3, 7, 8, 4}, we'll follow the steps of the algorithm and show the array at each step.

1: Choose the first element, 5, as the pivot.

{5, 1, 2, 7, 9, 3, 7, 8, 4}

2: Reorder the array so that all elements smaller than the pivot (5) come before it, and all elements larger than the pivot come after it. This is done by swapping elements.

{4, 1, 2, 3, 5, 9, 7, 8, 7}

3: The pivot is now in its final sorted position. Divide the array into two subarrays, one to the left of the pivot (elements smaller than the pivot) and one to the right of the pivot (elements larger than the pivot).

Left subarray: {4, 1, 2, 3}

Right subarray: {9, 7, 8, 7}

4: Recursively apply the PARTITION algorithm to the left and right subarrays.

For the left subarray:

Choose the first element, 4, as the pivot.

{4, 1, 2, 3}

Reorder the array:

{3, 1, 2, 4}

The left subarray is now sorted.

For the right subarray:

Choose the first element, 9, as the pivot.

{9, 7, 8, 7}

Reorder the array:

{7, 7, 8, 9}

The right subarray is now sorted.

5: The entire array is now sorted.

{3, 1, 2, 4, 5, 7, 7, 8, 9}

This is the final sorted array after applying the PARTITION algorithm using the first element (5) as the pivot.

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Answer:

Step-by-step explanation:

Answer:

answers are below

Step-by-step explanation:

5*1.6=8

10*1.6=16

w*1.6=1.6w

15*1.6=24

hope this helps:)

The evolution of the Korean fashion industry has had strategic implications for Korean fashion firms' global expansion strategies. As the market has become stagnant and global luxury and SPA brands have aggressively entered the market, local fashion firms have faced challenges in sustaining their growth momentum.

To overcome these challenges, Korean fashion firms have adopted diverse strategies, including direct entry, licensing, and acquisitions, to successfully tap into the global market. Kolon FnC, one of the five affiliates of Kolon Industries, has focused on its strength in the sports and outdoor segment to differentiate itself from its global competitors.

Kolon FnC has implemented several strategic moves to enhance its global expansion. Firstly, it has diversified its fashion portfolio by acquiring small-sized designer shops and fashion accessory shops since 2010. This allows the company to offer a wider range of products and create a young and vibrant brand image.

Additionally, Kolon FnC has collaborated with artists to create new value and attract consumers. By leveraging its R&D capability for new garment materials, led by its sister affiliate Kolon Fashion Material, the company can stay innovative and meet the demands of the global market.

In comparison to its major local competitors, Kolon FnC's global expansion strategy stands out. While Korean fashion firms typically focus on licensing or acquiring foreign brands, Kolon FnC has taken a different approach by acquiring small-sized designer shops and fashion accessory shops. This unique strategy allows them to have more control over their brand image and product offerings.

Based on the comparative analyses of Kolon FnC and its competitors, future strategic directions for Kolon FnC can be recommended. Firstly, the company should continue to focus on attracting talented young designers in Korea to differentiate itself from global competitors. This can be a viable source of competitive advantage in the global fashion industry.

Additionally, Kolon FnC should further enhance its R&D capability to develop new garment materials. This will enable the company to stay ahead in terms of innovation and meet the changing demands of consumers.

Overall, the strategic implications of the evolution of the Korean fashion industry have prompted Korean fashion firms, including Kolon FnC, to adopt diverse global expansion strategies. By focusing on their strengths, diversifying their fashion portfolio, collaborating with artists, and enhancing their R&D capability, these firms can position themselves competitively in the global market.

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Answer:

0.4 is equal to the fraction 2/5

Step-by-step explanation:

0.4 = 4/10

= 2/5

Thus, 0.4 = 2/5

Hope it helps.

Answer:

=> 0.4 × 10 = 4

=> 0.4 = 4/10

Therefore 0.4 =

Hope this helps you...

Answer:

1.02

Step-by-step explanation:

hopefully it helped

Answer:

-2 13/1000

Step-by-step explanation:

Answer:

-2 13/1000

Step-by-step explanation:

It takes approximately 86.67 hours for Alex, Bethany, and Carol to collectively finish a total of 26 miles. This is determined by calculating the harmonic mean of their individual running speeds.

To determine how many hours it takes for Alex, Bethany, and Carol to collectively run a total of 26 miles, we need to consider their individual running speeds. Alex runs at a rate of 26 miles in 6 hours, Bethany runs at a rate of 26 miles in 5 hours, and Carol runs at a rate of 26 miles in 4 hours.

To find the total time it takes for them to finish 26 miles together, we can calculate the harmonic mean of their individual running speeds. The harmonic mean is used because it accounts for the different rates at which they run.

The formula for the harmonic mean is given by:

Harmonic Mean = Total Distance / (1 / Speed1 + 1 / Speed2 + 1 / Speed3)

Substituting the values, we have:

Harmonic Mean = 26 / (1 / 6 + 1 / 5 + 1 / 4)

To simplify the equation, we find the common denominator:

Harmonic Mean = 26 / ((5 + 6 + 7) / 60)

Harmonic Mean = 26 / (18 / 60)

Harmonic Mean = 26 / (3 / 10)

Harmonic Mean = 26 * (10 / 3)

Harmonic Mean ≈ 86.67

Therefore, it takes approximately 86.67 hours for Alex, Bethany, and Carol to collectively finish a total of 26 miles.

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Answer:

E

Step-by-step explanation: 1+12=13

Answer:y = 3x + 5 is a linear equation in two variables and it has infinite possible solutions.

Step-by-step explanation:

Answer:

y = 3 x + 1

y = 3 x + 5

(no solutions exist)

Step-by-step explanation:

The third option is the correct option.

The equation in slope point form is given as y-1= -1(x-4).

A equation which is satisfied by every point on the line is known as equation of the line. There are various method to find the equation of lines, such as two point form, slope point form, slope intercept form.

We are given two points (4,1) (-2,7)

We first find the slope of the line which is the ratio of change in y to the change in x

Slope = (7-1)/-2-4)

Slope = 6/-6

Slope = -1

Hence the equation can be given as

y - = m(x-)

Substituting the values, we get the equation as

y - 1 = -1(x-4)

The third option is the correct option

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hope it will help you..........

Answer:

Taylor will earn $27.60 after the raise.

Step-by-step explanation:

If you take $24.00 and multiply it by $1.15, your answer should be $27.60. Therefore, this is the answer to your question.

Hopefully this helps, did the best I could!

The amount invested in the 3% interest account is $11,342.11, and the amount invested in the 1.1% interest account is $10,000 - $11,342.11 = $-342.11.

What is the interest?

Interest is the price you pay to borrow money or the cost you charge to lend money. Interest is most often reflected as an annual percentage of the amount of a loan. This percentage is known as the interest rate on the loan.

Let's call the amount invested in the 3% interest account x. Then, the amount invested in the 1.1% interest account is $10,000 - x.

The interest earned in the 3% interest account is 0.03x, and the interest earned in the 1.1% interest account is 0.011($10,000 - x).

The total interest earned is equal to the sum of the interest earned in each account:

0.03x + 0.011($10,000 - x) = $215.04

Expanding and solving for x:

0.03x + 0.011 * $10,000 - 0.011x = $215.04

0.019x = $215.04 + 0.011 * $10,000 - 0.011 * $10,000

0.019x = $215.04

x = $215.04 / 0.019

x = $11,342.11

Hence, the amount invested in the 3% interest account is $11,342.11, and the amount invested in the 1.1% interest account is $10,000 - $11,342.11 = $-342.11.

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To answer this question, we need to know the median and upper quartile of the data set. Once we have these values, we can determine what percentage of the data falls to the right of the median and to the left of the upper quartile.
Let's say the median of the data set is 50 and the upper quartile is 75. To find the percentage of measurements to the right of the median, we need to look at the data values that are greater than 50 and divide that number by the total number of measurements. Let's say there are 40 data values greater than 50 and a total of 100 measurements.

Then, the percentage of measurements to the right of the median would be:

(40/100) x 100% = 40%

To find the percentage of measurements to the left of the upper quartile, we need to look at the data values that are less than or equal to 75 and divide that number by the total number of measurements. Let's say there are 60 data values less than or equal to 75 and a total of 100 measurements. Then, the percentage of measurements to the left of the upper quartile would be:

(60/100) x 100% = 60%


Your answer:
1. 40% of the measurements lie to the right of the median.
2. 60% of the measurements lie to the left of the upper quartile (Q3).

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The equation y = 3x +a / 2x - 5 can be expressed in terms of a and y as x = (a - 5y) / (2y-3)

Given equation y = 3x + a / 2x - 5

= y(2x - 5) = 3x + a

= 2xy - 5y = 3x + a

= 2xy - 3x = a - 5y

= x(2y-3) = a - 5y

Hence, x = (a - 5y) / (2y - 3)

First, we will move the denominator 2x-5 and multiply it by y giving us 2xy-5y. Next, we will move all the terms which contain only a and y to one side and the rest remaining to another side, giving us 2xy - 3x = a - 5y. Since we need to express the equation in terms of x we take it as common from left-hand side of the equation and the remaining part we move to the right-hand side as the denominator. Hence we get our equation in terms of a and y as x = (a - 5y) / (2y - 3).

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Answer:

Bruh, this is really easy. Answer is no.

Step-by-step explanation:

Do you not know what 6 times 15 is??

Answer: No

Step-by-step explanation:

90 + 12 = 102

6(15 + 12) = 162

hope this helps

Answer:

biquadratic polynomial

Step-by-step explanation:

it has degree 4

Answer:

64,339 = π(r^2)(20)

r^2 = 1,023.987

r = 32 ft

Answer:

4

Step-by-step explanation

The probability of choosing 2 red and one marbles of each other color is 0.268 .

Given,

Green marbles: 4

Red marbles: 4

White marbles: 3

Purple marbles : 2

Now,

Total marbles to be taken = 5.

Out of 5, 2 will be red and 1 each of three different colors.

Total number of marbles = 13

Choosing 5 marbles from 13,

\(13C_5\\13!/5!(13 - 5)!\\\)

=  6435.

So,

2 will be red and 1 each of three different colors.

\(4C_2 * 4C_1* 3C_1*2C_1\)

= 6*24*6*2

= 1728

So,

Probability = 1728/6435

= 0.268

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The number of ways to choose a dance committee of 8 students is 6,096,454 ways.

The number of ways to choose a dance committee with 2 freshmen, 2 sophomores, 2 juniors, and 2 seniors is 1,134,000 ways.

The number of ways to choose a dance committee with 4 juniors and 4 seniors is 12,870 ways.

The probability of selecting a committee consisting of 2 freshmen, 2 sophomores, 2 juniors, and 2 seniors is 0.186.

The probability of selecting a committee consisting of 4 juniors and 4 seniors is 0.002.

To solve these problems, we can use the concept of combinations. The number of ways to choose k items from a set of n items is given by the binomial coefficient, also known as "n choose k," denoted as C(n, k) or nCk.

In general, the formula for the binomial coefficient is:
C(n, k) = n! / (k! * (n - k)!)

Now, let's solve each problem:

In how many ways can a dance committee of 8 students be chosen?
We have a total of 35 eligible students (8 freshmen + 10 sophomores + 9 juniors + 8 seniors). To choose a committee of 8 students, we need to calculate C(35, 8):
C(35, 8) = 35! / (8! * (35 - 8)!)
= 35! / (8! * 27!)
Therefore, the number of ways to choose a dance committee of 8 students is:
35! / (8! * 27!) = 6,096,454 ways

In how many ways can a dance committee be chosen if it is to consist of 2 freshmen, 2 sophomores, 2 juniors, and 2 seniors?
We need to choose 2 students from each category. The number of ways can be calculated by multiplying the number of ways to choose 2 students from each category:
C(8, 2) * C(10, 2) * C(9, 2) * C(8, 2)
Therefore, the number of ways to choose a dance committee with 2 freshmen, 2 sophomores, 2 juniors, and 2 seniors is:
C(8, 2) * C(10, 2) * C(9, 2) * C(8, 2) = 1,134,000 ways

In how many ways can a dance committee be chosen if it is to consist of 4 juniors and 4 seniors?
We need to choose 4 juniors from the 9 available and 4 seniors from the 8 available. The number of ways can be calculated as:
C(9, 4) * C(8, 4)
Therefore, the number of ways to choose a dance committee with 4 juniors and 4 seniors is:
C(9, 4) * C(8, 4) = 12,870 ways

Probability of selecting a committee consisting of 2 freshmen, 2 sophomores, 2 juniors, and 2 seniors.
To find the probability, we need to divide the number of ways to choose the desired committee (as calculated in question 2) by the total number of ways to choose a committee of 8 students (as calculated in question 1):
Probability = (Number of ways to choose the desired committee) / (Total number of ways to choose a committee of 8 students)
Therefore, the probability of selecting a committee consisting of 2 freshmen, 2 sophomores, 2 juniors, and 2 seniors is:
1,134,000 / 6,096,454 ≈ 0.186

Rounded to the nearest thousandth, the probability is approximately 0.186.

Probability of selecting a committee consisting of 4 juniors and 4 seniors.
Similarly, to find the probability, we divide the number of ways to choose the desired committee (as calculated in question 3) by the total number of ways to choose a committee of 8 students (as calculated in question 1):
Probability = (Number of ways to choose the desired committee) / (Total number of ways to choose a committee of 8 students)
Therefore, the probability of selecting a committee consisting of 4 juniors and 4 seniors is:
12,870 / 6,096,454 ≈ 0.002

Rounded to the nearest thousandth, the probability is approximately 0.002.

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So, there are (n!)^2 ways to arrange n men and n women in a row if they alternate genders.

We need to use the principle of multiplication. We first choose the position of the first person in the row, which can be any of the n men or n women. Without loss of generality, let's say we choose a man. Then, for the next position, we need to choose a woman since we are alternating genders. There are n women to choose from. For the third position, we need to choose another man, and there are n-1 men left to choose from (since we already used one). For the fourth position, we need to choose another woman, and there are n-1 women left to choose from. We continue this pattern until all n men and n women are placed in the row.

Using the principle of multiplication, we can find the total number of ways to arrange the people by multiplying the number of choices at each step. Therefore, the total number of ways to arrange the people in a row if the men and women alternate is:

n * n-1 * n * n-1 * ... * 2 * 1

This can be simplified to:

(n!)^2

So, there are (n!)^2 ways to arrange n men and n women in a row if they alternate genders.

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