The GCM of 16 and 24 is ​

There are a total of 3 x 10 x 10 = 300 possible combinations of suits, ties, and shirts that a person can select from. However, when selecting a traveling wardrobe, there are only 10 possible suit combinations, 10x10 = 100 possible tie combinations, and 10x10x10 = 1000 possible shirt combinations. This makes a total of 10 x 100 x 1000 = 100,000 possible selections of two suits, four ties and six shirts.

The sheer number of possible combinations indicates how important it is to choose wisely. The two suits should be complementary and appropriate to the occasion; the four ties can be chosen to match the suits, and the six shirts should be selected to mix and match with the ties and suits. Care should be taken to avoid repeating clothing items, and the person should also consider the climate and purpose of the trip in order to select the most suitable wardrobe.

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Answer:

\(2p^2\)

Step-by-step explanation:

Step 1: Apply the exponentiation property:

\((8p^6)^\frac{1}{3} = 8^\frac{1}{3} * (p^6)^\frac{1}{3}\)

Step 2: Simplify the cube root of 8:

The cube root of 8 is 2:

\(8^\frac{1}{3} =2\)

Step 3: Simplify the cube root of \((p^6)\):

The cube root of \((p^6)\) is \(p^\frac{6}{3} =p^2\)

Step 4: Combine the simplified terms:

\(2 * p^2\)

So, the simplified expression is \(2p^2\).

Answer:

Small box = 9 Large box = 27

Step-by-step explanation:

135 divided by 5 = 27. 27 divided by 3 = 9

Repeat same process for second half of the equation.

The numbers 2, -2, and -2 can replace the letters A, B, and C respectively in the table of values.

We use table of values when we have to graph out a linear equation. We can make use of the table of values to map out the corresponding values of x and y for a given line equation.

For y = x² - 3x - 2:

when x = -1;

y = (-1)² - 3(-1) -2

y = 1 + 3 - 2

y = 4 - 2

y = 2

when x = 0;

y = (0)² - 3(0) -2

y = 0 - 0 - 2

y = -2

when x = 3;

y = (3)² - 3(3) - 2

y= 9 - 9 - 2

y = 0 - 2

y = -2

Therefore, the values 2, -2, and -2 replace letters A, B, and C respectively in the table of values for y = x² - 3x - 2.

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The percentage mark up when purchasing avocados individually is 77.08%

Data;

To find the percentage mark up of one avocado, let's find the price of one avocado in 6 package of avocado.

\(6 avo = 11.10\\1 avo = x\\x = \frac{11.10}{6} \\x = 1.85\)

The percentage mark up can be calculated as

\(\% mark up = \frac{1.85}{2.40} * 100 = 77.08\%\)

The percentage mark up when purchasing avocados individually is 77.08%

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The correct statement for the given relation being a function is -

B: No, because for each output there is not exactly one input.

What is a relation?

In mathematics, a relation describes the connection between two distinct collections of data. If more than two non-empty sets are taken into consideration, the relationship between them will be determined if there is a connection between their components.

To determine if the relation is a function, we need to check if there is exactly one output (y-value) for each input (x-value).

Looking at the mapping diagram, we see that the input value of 1 and -3 has arrows pointing to one output value which is 0.

Similarly, the input value -1 and 3 has arrows pointing to one output value which is 2.

Therefore, there is not exactly one input for the output value of 0 and 2.

Thus, the relation is not a function because for at least one output there is not exactly one input.

Therefore, this relation cannot be considered a function.

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Answer:

The last two options.

Step-by-step explanation:

y=2x+4 (replace the x with 1) y=2(1)+4  Y=6

y= 2x+4 replace the x with 2) y= 2(2)+4  Y= 8

So the y coordinate can be 6 or 8.

(x,y)

ANSWER: (1,6) and (2,8)

HOPE THIS HELPS!!!

Answer:

last two options

Step-by-step explanation:

if x=1

2*1+4=6

if x=2

2*2+4=8

Their young daughter was starting to feel threatened by her father's actions. Despite Sara's pleadings for him to show her compassion, he maintained that he had the right to act however he pleased because he was her father.

Sara's husband harassed the couple through texts, calls, and threats to take their kid away while Sara and her husband were away from the house. Once, when he visited the house, he acted in such a menacing and violent way that Sara was worried and called the police. Despite being jailed, her spouse was not charged. He asserted that she had called the police to support her case against him. Red may be blood or even the result of a clean cut. Because individuals are hurt and bleed when they do, I believe blood would be the best. According to Johari Window, Sara is a Hidden Area or Hidden Self form of self. We refer to the information you withhold from others as a secret area.

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Answer:

1/9

Step-by-step explanation:

slope = rise/run

slope = (-3--4)/(7--2)=1/9

Answer:

Cosa/2-tana+sina

Step-by-step explanation:

Cosatana

Answer:

d)    \(\frac{13 - 5x}{2x -8}\)    

Step-by-step explanation:

Explanation:-

Given expression

                               \(\frac{\frac{3}{x-2}-5 }{2-\frac{4}{x-2} }\)

we will do L.C.M  both numerator term and denominator term

                     ⇒    \(\frac{\frac{3-5(x-2)}{x-2} }{\frac{2(x-2)-4}{x-2} }\)

on simplification , we get

                ⇒    \(\frac{\frac{13-5x}{x-2} }{\frac{2x-8}{x-2} }\)

cancellation 'x-2'

we will get

          \(\frac{13 - 5x}{2x -8}\)    

Answer:

c. y= 0.5(2)^x

Step-by-step explanation:

i hope this helps :)

Answer:

O C. 5.76 in2

Step-by-step explanation:

To find the area of a square, the formula is

length x width = area

length = 2.4

width = 2.4

2.4in x 2.4in = 5.76 in2

in2 is the part of the answer since  in x in = in2

Answer:

about =502.65

Step-by-step explanation:

Based on the given conditions,

= 9600/118.5

Multiply the both numerator and denominator,

= 96000/1185

Cross out the common factor,

= 6400/79

Alternative forms is,

= 81.012658 , \(81\frac{1}{79}\)

The missing data value according to the given z-score is 39.

We can determine how distant a data point is from the mean using its z-score. It is a crucial subject in statistics. Z-scores are a way to compare data to a population that is considered "normal." When attempting to compare someone's weight to that of the "average" person, for instance, it might be intimidating to look at a large table of data even though we know they weigh 70 kg. A z-score offers us an indication of how that person's weight compares to the mean weight of the general population. We shall discover what the z score is in this post.

The z score is a measurement of how many standard deviations a raw score is below or above the population mean. If the value is higher than the mean, it will be positive; if it is lower, it will be negative. The standard score is another name for it. It shows how far away from the mean an object is, in terms of standard deviations. The mean and population standard deviation must be known to apply a z-score. The likelihood of a score happening inside a typical normal distribution may be calculated with the use of a z score. We may also compare two scores from other samples thanks to it. A z score table is a table that contains the values of, which represent the cumulative distribution function of the normal distribution.

The equation is given by z = (x – μ)/ σ.

μ = mean

σ = standard deviation

x = test value.

In the question, z = -2.1, μ = 43, and σ = 2.

Substituting the values, we get:

-2.1 = (x - 43)/2,

or, x - 43 = -2.1*2,

or, x = -4.2 + 43,

or, x = 38.8 ≈ 39.

Thus, the missing data value according to the given z-score is 39.

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Using the extended version of Markov's inequality with the function φ(x) = (x^c)^2, where c is a positive constant, we can show that the probability of a random variable X being greater than or equal   to a positive constant k can be bounded by E[X^(2c)]/k^(2c).

The extended version of Markov's inequality states that for a non-negative random variable X and any positive constant k, we have:

P(X ≥ k) ≤ E[X^c]/k^c

In this case, we are using the function φ(x) = (x^c)^2. Substituting this function into the inequality, we get:

P(X ≥ k) ≤ E[(X^c)^2]/k^(2c)

This inequality provides an upper bound on the probability that X is greater than or equal to k, based on the moment E[(X^c)^2]. The moment E[(X^c)^2] is a measure of the "spread" or variability of X raised to the power of c. By dividing this moment by k^(2c), we obtain an upper bound on the tail probability.

Overall, the extended version of Markov's inequality with the function φ(x) = (x^c)^2 allows us to establish an upper bound on the probability of a random variable X being greater than or equal to a positive constant k, based on its moment E[(X^c)^2]. This inequality provides a useful tool for bounding tail probabilities and studying the behavior of random variables.

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Etta needs to add the source of the information to better arrange these notes.

A note is a place where information about a specific item is recorded for later reference. The main goals of taking notes are to promote active learning and create study materials for tests. You should be able to organise material into an understandable format that will aid in your learning process by developing note-taking skills.

As a result, it is clear from the question that Etta is making notes for the purpose of creating a webpage about healthy eating. Once her notes have been organised with the relevant facts and information, Etta will need to cite her sources.

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Answer:

20!

Step-by-step explanation:

Did the test and got it correct!

In the worst-case scenario, the company should use the following values: price = $799 per unit, variable cost = $289 per unit, fixed costs = $2.89 million, and quantity = 60,950 units.

In the best-case scenario analysis for Automatic Transmissions, Inc.'s new gear assembly project, the company assumes the upper limit of the ±15 percent range for its estimates. For the price per unit, they take a 15 percent increase, resulting in a value of $1081. Similarly, the variable cost per unit is increased by 15 percent to $391. The fixed costs are also adjusted upwards by 15 percent, reaching $3.91 million. Finally, the quantity is decreased by 15 percent, leading to a value of 45,050 units.

On the other hand, in the worst-case scenario analysis, the company assumes the lower limit of the ±15 percent range for its estimates. The price per unit is decreased by 15 percent, resulting in $799. The variable cost per unit is decreased to $289. The fixed costs are adjusted downwards to $2.89 million. Lastly, the quantity is increased by 15 percent to 60,950 units.

Therefore, in the worst-case scenario, the company should use the following values: price = $799 per unit, variable cost = $289 per unit, fixed costs = $2.89 million, and quantity = 60,950 units

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\(24^{1/3}=\sqrt[3]{24}=\sqrt[3]{8 \cdot 3}=\sqrt[3]{8}\sqrt[3]{3}=\boxed{2\sqrt[3]{3}}\)

Answer:

24÷6+7 is the correct answer

The relationship the ratios of sin x° and cos y° share is The ratios are both identical (five thirteenths and five thirteenths). Option B

Trigonometric Identities are defined as the qualities involving trigonometry functions and also holds true for all the values of the variables given in the equation.

The different types of trigonometric identities are given as;

From the information given, we have that

sin = opposite/hypotenuse

cos = adjacent/hypotenuse

But;

Hypotenuse= 13

Opposite = 5

Adjacent = 12

Substitute the value

sin x = 5/13

cos y = 5/13

Hence, the values are identical

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Answer:

B!

Step-by-step explanation:

took the testt

Answer:  The correct answer is x = 19 / 5

Step-by-step explanation:

Solve the equation

5x + 3 = 22

Subtract 3 from both sides

5x + 3 − 3 = 22 − 3

5x = 19

Divide both sides by 5

5x/5 = 19/5

x = 19 / 5

Answer:

A. That he is often blamed for things that are not his fualt.

Step-by-step explanation:

no you dumb

boiiiiiiiiiiii

Answer:   Choice A)

Yes, the value x = 3 satisfies the inequality 4x -5 ≥ 3

======================================================

Explanation:

Replace x with 3. Then simplify

4x -5 ≥ 3

4*3 -5 ≥ 3

12 -5 ≥ 3

7 ≥ 3

The last inequality is true which means the original inequality 4x -5 ≥ 3 is true when x = 3.

Therefore, x = 3 is in the solution set for 4x -5 ≥ 3

We don't need to worry about the 5 - x > 8 inequality since we only need to satisfy at least one inequality (due to the keyword "or").

Yes, the value of x = 3 satisfies the inequality 4x -5 ≥ 3 ( optionA)

In mathematics, a relationship between two expressions or values that are not equal to each other is called 'inequality. '

There are two expressions of inequality here ;

4x - 5 ≥ 3 and

5 - x > 8

To check if the statements will be true for value of x = 3, we need to substitute 3 for x in each.

4(3) -5 = 12 -5 = 7

7 is still in range of ≥ 3

5 - 3 = 2

2 is not greater than 8

Therefore only the inequality 4x -5≥ 3 will x = 3 satisfy.

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Answer:

Statement:

1. C

2. A

3. B

Reason:

1. F

2. E

3. H

Step-by-step explanation:

C is very clearly the given so it goes first and B is what you're trying to prove so that goes last

Hope this helped <3

d. dV/dt = -0.15V³ is a differential equation that could describe the relationship between the rate of change of the volume V with respect to time t of water leaking from a tank, and the cube of the volume.

A differential equation is an equation that relates a function and its derivatives. In this case, the function is the volume V of water in the tank, and the variable is time t. The problem states that the rate of change of the volume V with respect to time t is proportional to the cube of the volume. This means that the rate at which the volume is changing is directly proportional to the cube of the volume, and the proportionality constant is a negative number.

The differential equation that describes this relationship is dV/dt = -0.15V³, where dV/dt represents the rate of change of the volume with respect to time, and -0.15V³ represents the proportionality constant times the cube of the volume. The negative sign indicates that the volume is decreasing over time, as water is leaking out of the tank. This differential equation can be used to model the behavior of the water leaking from the tank, and can be used to determine the volume of water remaining in the tank at any given time.

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To determine the set of reflections that would carry hexagon ABCDEF onto itself, we need to identify the lines of reflection that preserve the hexagon's symmetry.

A hexagon has six sides and six vertices. The lines of reflection that can carry the hexagon onto itself are those passing through the midpoints of opposite sides or through the midpoints of opposite vertices.

In this case, there are three possible lines of reflection that would preserve the hexagon's symmetry:

1. The line passing through the midpoints of AB and CD.

2. The line passing through the midpoints of BC and DE.

3. The line passing through the midpoints of CD and EF.

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