Find the equation of the linear function represented by the table below in slope-intercept form .x: 0, 1, 2, 3, 4
y: -8, -5, -2, 1, 4

Yao Ming was 24 inches taller than Earl Boykins, as 7 feet is equal to 84 inches and 5 feet 5 inches is equal to 65 inches. Therefore, 84 - 65 = 19 inches, and Ming was 19 inches taller than Boykins.

Yao Ming, standing at 7'5" (7 feet 5 inches), was significantly taller than Earl Boykins, who was 5'5" (5 feet 5 inches) tall in the NBA in 2003. To calculate the difference in height, first convert their heights to inches: Yao Ming = (7 * 12) + 5 = 89 inches and Earl Boykins = (5 * 12) + 5 = 65 inches. Now subtract Boykins' height from Ming's: 89 - 65 = 24 inches. Yao Ming was 24 inches taller than Earl Boykins.

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Answer:

Irrational

Step-by-step explanation:

A rational number is a number that can be express as the ratio of two integers. A number that cannot be expressed that way is irrational.

The soccer team can have 1,716 different starting lineups. The number of ways to choose 1 player out of 13 for the goalkeeper position is given by the combination formula: C(13, 1) = 13.

To calculate the number of different starting lineups, we need to determine the combinations of players that can be chosen for the starting lineup. Since there are 13 players on the team and 11 positions in the starting lineup, we need to choose 1 player for the goalkeeper position and 10 players for the regular positions. Similarly, the number of ways to choose 10 players out of the remaining 12 players for the regular positions is given by the combination formula:

C(12, 10) = 66.

To find the total number of different starting lineups, we multiply the number of choices for the goalkeeper position by the number of choices for the regular positions: 13 * 66 = 858.

However, the order of the players in the lineup doesn't matter, so we need to divide the result by the number of permutations of the 10 regular players: 858 / 10! = 1716. The soccer team can have 1,716 different starting lineups.

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Answer:

V=128

Step-by-step explanation:

Answer:

V =128ft^3

Step-by-step explanation:

V=lwh=4*4*8=128

Answer:

18

Step-by-step explanation:

Always remember negative x negative = positive

-51-(-60)-51-(-60)

-51+60-51+60

9+9

18

I don't know what are the expressions but try yourself

Believe in yourself you can do it

Answer:

D. The slope of the line is 23. This means that the value of the stock increases $23 for each additional month since purchase.

Step-by-step explanation:

In the basic equation y = mx + b, m is the slope. In this situation, 23 is the slope because it is the coefficient.

42 is not the slope because it is the y-intercept.

D is the correct answer because the slope is 23, which means in this situation that the stock's value increases by $23 for each additional month after the purchase.

Answer:

D.

Step-by-step explanation:

The slope is the coefficient of n ( the month) which is 23.

This means the stock increases each month by a factor of 23.

I believe your answer should be: (A) (x+1)^2=4

Answer:

a) is the correct answer

Step-by-step explanation:

When we expand a) we get

x^2+2x+1=4

Subtracting 4 on both sides we get x^2+2x+1-4=0

x^2+2x-3=0

Answer:

b i think

Step-by-step explanation:

Answer:

(-3, 4)

Step-by-step explanation:

First, substitute y=-2x-2. We have 3(-2x-2)=9-x ---> -6x-6=9-x Then isolate the x. -5x=15 Simplify, we have x=-3. Then we can input this x-value back into one of the equations. We have 3y=9--3 ---> 3y=12 ---> y=4. So the solution to this system is (-3, 4).

Answer:

$600

Step-by-step explanation:

We know

2/5 = $240

1/5 = $120

5/5 - 2/5 = 3/5

So, we need to find the 3/5 missing

1/5 = $120

3/5 = $360

So, we add both numbers to find the trip cost

240 + 360 = $600

So, the trip costs $600

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a) Using the 1.5x IQR rule, calculate the upper and lower fences.

Use the following five-number summary for your calculations:

Min =61, Q1=75, Median =82, Q3=83,

Max =97

Lower fence and Upper fence can be calculated as follows:

Lower fence = Q1 - 1.5 × IQR

Upper fence = Q3 + 1.5 × IQRIQRI

QR = Q3 - Q1

= 83 - 75

= 8

Lower fence = 75 - (1.5 × 8)

= 63

Upper fence = 83 + (1.5 × 8)

= 95

Therefore, the lower fence is 63 and the upper fence is 95.

b) To find any outliers in the data, we need to compare each data point with the fences.

61 < 63:

Not an outlier75 < 63:

Outlier75 < 63:

Outlier75 < 63:

Outlier77 < 63:

Outlier78 < 63:

Not an outlier79 < 63:

Not an outlier82 > 63:

Not an outlier83 > 63:

Not an outlier83 > 63:

Not an outlier90 > 63:

Not an outlier90 > 63:

Not an outlier97 > 63: Outlier

The outliers in the data are 77 and 97.

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Answer:

I don't see the number line

Step-by-step explanation:

i would love to help you out, but I don't see the number line I'm supposed to be referencing.

There are 64 9-bit strings that have a weight of 5 and start with the sub-string 101.



To find the number of 9-bit strings that have a weight of 5 and start with the sub-string 101, we can use the following steps:

1. Since the first three bits are fixed as 101, we only need to consider the remaining 6 bits.

2. To have a weight of 5, there must be exactly 2 more 1's in the remaining 6 bits.

3. We can use the combination formula to find the number of ways to choose 2 positions from the 6 remaining bits to place the 1's:

C(6,2) = 6! / (2! * (6-2)!) = 15

4. Therefore, there are 15 ways to choose 2 positions from the 6 remaining bits to place the 1's, and each of these ways corresponds to a unique 9-bit string that has weight 5 and starts with the sub-string 101.

5. Finally, we can multiply the number of ways to choose 2 positions from the 6 remaining bits by the number of ways to choose the first three bits (which is 1, since they are fixed as 101) to get the total number of 9-bit strings that have weight 5 and start with the sub-string 101:

1 * 15 = 15

Therefore, there are 15 9-bit strings that have a weight of 5 and start with the sub-string 101.

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Answer:

175 ml

Step-by-step explanation:

you will have to multiply 700 by .25 as that is the rate that it's evaporating.

Usually "of" means to multiply

Therefore:

700 x 0.25 = 175

To establish the existence of a causal relationship between the thickness of the packaging material and the shelf life of the cheese,

In a dairy factory, the best study that would be a reliable source of evidence is a randomized controlled trial (RCT).In an RCT, the participants are randomly assigned to two or more groups,

where one group receives the intervention (in this case, cheese packaged with thicker material) and the other group receives the standard treatment (cheese packaged with the usual material).

To ensure the reliability of the study, the RCT should be conducted in a double-blind manner, where neither the participants nor the researchers know which group is receiving the intervention. This will prevent any bias that may influence the results.

The participants should also be selected carefully to ensure that they represent the target population of the study. In this case, the participants should be cheese consumers or distributors who are interested in the shelf life of the cheese.

By comparing the shelf life of the cheese packaged with thicker material to that packaged with the usual material, the RCT can establish the existence of a causal relationship between the thickness of the packaging material and the shelf life of the cheese.

The results of the study can then be used to inform the dairy factory's packaging practices and improve the shelf life of their cheeses.

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Answer:

Step-by-step explanation:

The perimeter of a rectangle is given by the formula:

perimeter = 2(length + width)

In this case, the length is 14.3 yards and the width is 12 yards. Substituting these values into the formula, we get:

perimeter = 2(14.3 + 12)

perimeter = 2(26.3)

perimeter = 52.6 yards

Therefore, the perimeter of the rectangle is 52.6 yards.

The area of a rectangle is given by the formula:

area = length x width

Substituting the length and width values, we get:

area = 14.3 x 12

area = 171.6 square yards

Therefore, the area of the rectangle is 171.6 square yards.

The center of the circle is (6,7) and the radius of the circle is 1.414 units

The diameter with endpoints = (5, 8) and (7, 6)

The mid point of the diameter = The center of the circle

The center of the circle = \((\frac{x_1+x_2}{2},\frac{y_1+y_2}{2})\)

Substitute the values in the equation

The center of the circle = ( (5+7)/2 , (6+8)/2 )

= (12/2 , 14/2)

= (6, 7)

The radius of the circle = The distance between (6, 7) and (7, 6)

The distance between two points = \(\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}\)

The distance between (6, 7) and (7, 6) = \(\sqrt{(7-6)^2+(6-7)^2}\)

= \(\sqrt{1^2+(-1)^2}\)

= \(\sqrt{1+1}\)

= \(\sqrt{2}\)

= 1.414 units

Hence, the center of the circle is (6,7) and the radius of the circle is 1.414 units

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Answer: There will be 30 tiles in each row.

Step-by-step explanation:

To find the number of tiles in each row, we need to determine the room's dimensions and the size of each tile. Given that the area of the square room is 225 square feet, we know that the room is a perfect square. Let's denote the length of one side of the square as "x" feet.

We can calculate the length of one side of the square by taking the square root of the area:

x = √225 = 15 feet

Since each tile is 6 inches by 6 inches, we need to convert the measurements to feet: 6 inches = 6/12 = 0.5 feet

To determine the number of tiles in each row, we divide the length of the side of the room by the length of each tile:

Number of tiles in each row = (Side length of the room) / (Length of each tile)

Number of tiles in each row = 15 feet / 0.5 feet = 30 tiles

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a) A department manager receiving an allocation of costs will care about management's methodology of overhead allocation because the overhead costs allocated to their department will have a direct impact on the department's profitability and cost efficiency.

b) The allocation base is the measure used to determine how much of the overhead costs should be allocated to a particular department or product, while the allocation rate is the amount of overhead costs allocated to each unit of the allocation base

c) Budgets are an important tool for cost planning, but their effectiveness depends on how well they are developed and implemented.

a) If the allocation method used by management is not accurate or fair, it could result in the department being burdened with more costs than they actually incur, which could affect their ability to meet their targets and objectives. It is, therefore, important for department managers to ensure that the allocation of costs is done fairly and accurately.

b) The allocation base and rate are important because they determine how the overhead costs are allocated to different departments or products.

Different allocation bases and rates can result in significantly different amounts of overhead costs being allocated to different departments or products, which can impact their profitability. While all of the overhead costs eventually make their way to the income statement, the allocation of these costs can have a significant impact on the accuracy of the income statement and the ability of the organization to make informed decisions.

c) Budgets can be helpful in providing a roadmap for achieving the organization's goals and objectives, but they need to be flexible enough to adapt to changing circumstances and priorities.

The budget(s) that are most important to the organization's success will depend on the nature of the organization and its objectives. However, typically the operating budget, capital budget, and cash budget are the most important budgets for most organizations.

The government's budget process is similar to the operating budgeting process described in the chapter in that it involves the development of a budget to allocate resources and achieve goals. However, the government's budget process is more complex and involves additional considerations such as political priorities and public opinion. Additionally, the government's budget process involves a more detailed review and approval process than the operating budgeting process.

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1. A person should choose one family pizza.

2. The area of two medium pizza < area of 1 large pizza.

3. The area of two medium pizza is 1413.8 square cm and the area of one large pizza is 1661.9 square cm.

What is area?

An object's area is how much space it takes up in two dimensions. It is the measurement of the quantity of unit squares that completely cover the surface of a closed figure.

I would one family pizza.

I would choose one family because the total area of two medium pizzas is less than the area of a family pizza.

This means that the two medium pizzas will have less pizza to share between the same number of people, so everyone will get a smaller slice of pizza.

To calculate the areas of the pizzas, we need to use the formula for the area of a circle -

Area of a circle = π × (radius)²

For the family pizza with a diameter of 46 cm, the radius is 23 cm. Therefore, the area of the family pizza is -

Area of family pizza = π × (23 cm)² ≈ 1661.9 square cm

For two medium pizzas with a diameter of 30 cm, the radius is 15 cm. Therefore, the area of each medium pizza is -

Area of each medium pizza = π × (15 cm)² ≈ 706.9 square cm

The total area of two medium pizzas is -

Total area of two medium pizzas = 2 × (Area of each medium pizza) ≈ 1413.8 square cm

Since the total area of two medium pizzas is less than the area of the family pizza, it means that two medium pizzas have less pizza to share between the same number of people.

Therefore, choosing one family pizza would be a better option.

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A family pizza or two medium?

* Each medium pizza is 30 cm in diameter

* The family pizza has only a diameter of 46 cm

1. What do you choose?

2. Why?

3. Please conclude your facts

Chester has 18 pennies and 54 dimes. This is determined by solving a system of equations, where the total number of coins is 72 and the dimes are three times the pennies.

Let's assume Chester has 'x' pennies and 'y' dimes. According to the problem, he has a total of 72 pennies and dimes, which can be expressed as:

x + y = 72 (Equation 1)

The problem also states that he has three times as many dimes as pennies, which can be written as:

y = 3x (Equation 2)

To solve the system of equations, we can substitute Equation 2 into Equation 1:

x + 3x = 72

4x = 72

Dividing both sides by 4:

x = 18

Substituting the value of x back into Equation 2:

y = 3(18)

y = 54

Therefore, Chester has 18 pennies and 54 dimes.

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Answer: c

when you square a number you multiply it by itself

Answer:

B, C, D

Step-by-step explanation:

its correct

Answer:

B. The x-value is between 3 and 4.

C. The y-value is between –2 and –1.

D. The x-value is positive.

Answer:

  2. 26.2 m

  3. 117.2 cm

Step-by-step explanation:

You want the perimeters of two figures involving that are a composite of parts of circles and parts of rectangles.

The circumference of a circle is given by ...

  C = πd . . . . . where d is the diameter

The length of the semicircle of diameter 12.6 m will be ...

  1/2C = 1/2(π)(12.6 m) = 6.3π m ≈ 19.8 m

The two lighted sides of the rectangle have a total length of ...

  3.2 m + 3.2 m = 6.4 m

The length of the light string is the sum of these values:

  19.8 m + 6.4 m = 26.2 m

The length of the string of lights is about 26.2 meters.

The perimeter of the figure is the sum of four quarter-circles of radius 11.4 cm, and 4 straight edges of length 11.4 cm.

Four quarter-circles total one full circle in length, so we can use the formula for the circumference of a circle:

  C = 2πr

  C = 2π·(11.4 cm) = 22.8π cm ≈ 71.6 cm

The four straight sides total ...

  4 × 11.4 cm = 45.6 cm

The perimeter of the figure is the sum of the lengths of the curved sides and the straight sides:

  71.6 cm + 45.6 cm = 117.2 cm

The design has a perimeter of about 117.2 cm.

__

Additional comment

The bottom 12.6 m edge in the figure of problem 2 is part of the perimeter of the shape, but is not included in the length of the light string.

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The two statements that are true about the company's Market share going from 50 to 65 percent of the total market . The initial market share and multiply by 100, which gives 30 percent. Option B is correct answer.

The two statements that are true about the company's market share going from 50 to 65 percent of the total market are:

The company's market share increased by 30 percent: The difference between the initial market share of 50 percent and the final market share of 65 percent is 15 percentage points. To calculate the percentage increase, we can divide the difference by the initial market share and multiply by 100, which gives (15/50) x 100 = 30 percent.

The company's relative market position improved: With a market share of 65 percent, the company now holds a greater proportion of the total market than before. This means that its relative market position has improved compared to its competitors, who have a smaller share of the market. This could translate into increased bargaining power, profitability, and other benefits for the company.

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a company’s market share went from 50 to 65 percent of the total market. of the following choices, which two statements about the company's market shares are true?
A) 40

B) 30

C) 35

D) 45

The slope of the line passing through the given points is 0.4 or 2/5.

From the table given below, we have (2, 23) and (5, 24.3).

Use the slope formula to find the slope of a line given the coordinates of two points on the line. The slope formula is m=(y2-y1)/(x2-x1), or the change in the y-values over the change in the x-values.

Put the points (2, 23) and (5, 24.3) in the slope formula and find the slope.

That is, m=(24.3-23)/(5-2)

=1.3/3

=0.4

=4/10 = 2/5

Put m=2/5 and the coordinate points (2, 23) in y=mx+c.

That is, 23=2/5 (2)+c

⇒23 - 4/5 =c

⇒111/5 = c

⇒ c=22.2

Now, equation is y=0.4m+22.2

Therefore, the slope of the line passing through the given points is 0.4 or 2/5.

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Answer:

−1≤x<3

Step-by-step explanation:

2 ≤ 2x+4 <10

Subtract 4 from all sides.

2-4 ≤ 2x+4-4 <10-4

-2 ≤ 2x <6

Divide 2 from all sides.

-2/2 ≤ 2x/2 <6/2

-1 ≤ x < 3

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False. if you are given a graph with two shif table lines, the correct answer will always require you to move both lines.

In a graph with two shiftable lines, the correct answer may or may not require moving both lines. It depends on the specific scenario and the desired outcome or conditions that need to be met.

When working with shiftable lines, shifting refers to changing the position of the lines on the graph by adjusting their slope or intercept. The purpose of shifting the lines is often to satisfy certain criteria or align them with specific points or patterns on the graph.

In some cases, achieving the desired outcome may only require shifting one of the lines. This can happen when one line already aligns with the desired points or pattern, and the other line can remain fixed. Moving both lines may not be necessary or could result in an undesired configuration.

However, there are also situations where both lines need to be shifted to achieve the desired result. This can occur when the relationship between the lines or the positioning of the lines relative to the graph requires adjustments to both lines.

Ultimately, the key is to carefully analyze the graph, understand the relationship between the lines, and identify the specific criteria or conditions that need to be met. This analysis will guide the decision of whether one or both lines should be shifted to obtain the correct answer.

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