Paula has 10 forks and 15 knives to place in silverware holders at the fast food restaurant where she works. She wants to distribute them equally, with no forks or knives left over. What is the greatest number of silverware holders Paula can stock?

an expression is a combination of symbols and numbers that is well-formed according to rules that depend on the context :)

Answer:

464m^2

Step-by-step explanation:

Given data

Dimension of the regular playground

Length= 28m

Width= 15 m

We want to extend both sides by 1 m

Length= 28+1= 29m

Width= 15+1= 16m

Hence the area

Area=Length*Width

Area= 29*16

Area= 464m^2

The Area is 464m^2

Answer: 7

Step-by-step explanation:

First set up your equation 40+21x=187

Subtract 40 from each side 187-40=147 40-40=0 Bring down your 21x than divide 147 by 21. 147÷21=7

Answer:

- 8n -4 +n+7

like terms (-8n, n) and (-4, 7)

so; -8n+n-4+7

    = -7n+3

Answer:

-7n + 3

Step-by-step explanation:

   Like terms are terms that have same variable with same power.

-8n and n are like terms.  subtract or add the coefficient of the like terms.

(-8) and 1. So, subtract and it is -7n

(-4) and 7 are like terms(constants).

-8n - 4 + n + 7 = -8n + n - 4 + 7

                        = -7n + 3

Answer:  10.169

Step-by-step explanation: To add decimals like this we have to line up them in order.

2.859

+

7.31 =

10.169

Above I have to line them up in order.

If you can please give me a Brainliest, I only need 3 more to become an Ace, thank you!

The cubic function that satisfies the given conditions is f(x) = -0.5x³ + 7x² - 27.5x + 23.

To find a, b, c, and d, we first use the fact that the derivative of f(x) is zero at the relative maximum and minimum points, so we can set up two equations:

9a + 6b + c = 0 (at x = 3)

15a + 10b + c = 0 (at x = 5)

Next, we use the fact that the second derivative of f(x) is zero at the inflection point, so we get another equation:

18a + 6b = 0 (at x = 4)

Finally, we plug in the coordinates of any point to get the last equation:

a(4³) + b(4²) + c(4) + d = 11

Solving these equations simultaneously gives us the values:

a = -0.5, b = 7, c = -27.5, and d = 23.

Therefore, the cubic function that satisfies the given conditions is f(x) = -0.5x³ + 7x² - 27.5x + 23.

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The length of BC in this problem is given as follows:

BC = 3.6.

Two triangles are defined as similar triangles when they share these two features listed as follows:

The similar triangles for this problem are given as follows:

ABC and ADE.

Hence the proportional relationship for the side lengths is given as follows:

3/5 = BC/6.

Applying cross multiplication, the length BC is given as follows:

BC = 6 x 3/5

BC = 3.6.

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Answer:

Translation 5 units left, 1 unit up

Step-by-step explanation:

the blue is the main shape

Answer: Translation 5 units up and 1 unit down

Answer: 9.4

a² + b² = c²

5² + 8² = c²

25+64=c²

89 = c²

√89 = √c²

9.4 = c

Step-by-step explanation:

Answer: 9.4

a² + b² = c²

5² + 8² = c²

25+64=c²

89 = c²

√89 = √c²

9.4 = c

Answer:

A

Step-by-step explanation:

It is A because it is very precise and it can make a bar graph.

Answer: Choice A) You ask 20 people what their favorite season is.

Choices B and C are best represented with a line graph to show the growth over time.

A bar graph is useful to see how many categories get a certain response. In the case of choice A, we have four categories for each season. The height of each bar represents how many responses were made for that given category.

Answer:

4.5

Step-by-step explanation:

I just did this lesson and i just guessed, but i got it wrong and it said the answer was 4.5. basically, you multiply the fractions and the number value first,(like 1/6 X 0) and you do that to all of them. and then you add up all your answers, simplify them and put it in decimal form. and you get 4.5. hopefully that made enough sense.

If you perform multiple t-tests, the Type I error increases.

When conducting multiple t-tests, each individual test has a certain probability of committing a Type I error, which is the probability of incorrectly rejecting the null hypothesis when it is actually true. The standard threshold for Type I error is typically set at 5% (or 0.05).

However, when multiple tests are performed, the probability of committing at least one Type I error across all the tests increases. This is known as the problem of multiple comparisons or multiple testing.

The more tests you perform, the higher the likelihood of observing a significant result by chance alone, leading to an increased Type I error rate.

To address this issue, it is common to adjust the significance level (e.g., using Bonferroni correction) or conduct post hoc comparisons using methods such as Tukey's test or Bonferroni adjustment.

These methods help control the overall Type I error rate when multiple comparisons are made.

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Answer:

You bake 21 chocolate chip cookies.

Step-by-step explanation:

Since the ratio of chocolate chip to oatmeal is 7:5, the ratio is now ?:15. You multiplied the number of oatmeal cookies by 3, which means you must now multiply the number of chocolate chip cookies by the same number. 7 times 3 is 21.

The units for the cost and the income of doing the jobs are C(x) = 900 + 215x and I(x) = 305x

Let's use the variable "x" to represent the number of jobs done.

The cost of doing x jobs can be calculated as

Cost = 360 + 540 + (70 + 145) * x

Cost = 900 + 215x

C(x) = 900 + 215x

The income from doing x jobs can be calculated as

Income = 305x

I(x) = 305x

If Howard completes six jobs, the cost will be:

C(6) = 900 + 215(6) = 2190

The income from completing six jobs will be:

Income = 305(6) = 1830

Here, we have

C(x) = 4125

So, we have

900 + 215x = 4,125

215x = 3225

x = 15

So, Howard could do 15 jobs if the cost was $4,125.

This means that

305x = 5185

So, we have

x = 17

The number of jobs is 17

This means that

305x = 900 + 215x

So, we have

90x = 900

This gives

x = 10

The number of jobs is 10

See attachment for the graph

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Answer:

No

Step-by-step explanation:

I believe at the point of (1,1)  there is a distinct sort of point where it looks like an edge or corner which means that it is not continuous.

Continuous means that there is no abrupt changes (google) and im sure you know this already (im just saying no offence to anyone's intelligence)

The given function is not continuous. The correct option is D.

A function is defined as the expression that set up the relationship between the dependent variable and independent variable.

A continuous function in mathematics is one that causes the value of the function to continuously vary as the input changes over time. This indicates that there aren't any discontinuities or sudden changes in value.

The point of (1,1)  there is a distinct sort of point where it looks like an edge or corner which means that it is not continuous. Continuous means that there are no abrupt changes.

It is shown in the graph that the function is reducing continuously at the point ( 1,-1) and after that, there is a sudden change in the function after that it becomes constant or parallel to the x-axis.

Because there is a sudden change in the function it will be termed a discontinuous function.

Hence, the function is not continuous, and the correct option is D.

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The cost of each music video is $1.99.

A subject of mathematics known as arithmetic operations deals with the study and use of numbers in all other branches of mathematics. Basic operations including addition, subtraction, multiplication, and division are included.

Given total cost of 2 music videos, a TV series and a movie is $42.95

and TV series cost 2 times as much as the movie,

cost of the movie = $12.99

cost of  TV series = 2*12.99

cost of  TV series = $25.98

let the cost of a video be x

so according to condition,

2x + cost of  TV series + cost of the movie = $42.95

2x + 25.98 + 12.99 = 42.95

2x = 42.95 - 25.98 - 12.99

2x = 3.98

x = 3.98/2

x = $1.99

Hence the cost of a music video is $1.99.

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The domain of the function is all real numbers and  range is  y ≥ -1.

Since the vertex is at (1,-1), the axis of symmetry is x = 1.

This means that the domain of the function is all real numbers.

To find the range, we need to consider the y-values of the graph. Since the vertex is the lowest point of the graph, the range must be all y-values greater than or equal to -1.

However, since the parabola opens upwards, there is no upper bound on the y-values.

Therefore, the range is given by y ≥ -1.

Hence, the domain of the function is all real numbers and  range is  y ≥ -1.

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Answer:

6/18 or 3/9 they are the same!

Hope this helps! Brainliest thanks!

Answer:

About 26.67 percent.

A firm experiences increasing returns to scale if inputs are doubled and output more than doubles.

When the firm's output grows at a faster rate than the growth in inputs, increasing returns to scale result. In this case, the company experiences economies of scale, which makes it more effective as it grows its production.

The firm is able to boost productivity and efficiency as it expands its scale of operations if inputs are doubled and output more than doubles.

This can be ascribed to a number of things, including specialisation, labour division, the use of capital-intensive technology, discounts for bulk purchases, and spreading fixed costs over a higher output. Lower average costs per unit of output result in higher profitability and competitiveness for the company.

The firm gains a number of benefits from growing returns to scale. First off, it lets the company to benefit from cost savings brought about by economies of scale, allowing it to manufacture goods or services for less money per unit. This may enable more competitive pricing on the market or result in larger profit margins.

Second, raising returns to scale can result in better operational effectiveness and resource utilisation. As the company grows in size, it will be able to use resources more wisely and profit from production volume-related synergies.market prices that are competitive.

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There are approximately 11.25 cups of granulated sugar in a 5 pound bag.

To determine the number of cups of granulated sugar in a 5 pound bag, we can use the conversion factor of 2.25 cups per pound.

First, we multiply the number of pounds (5) by the conversion factor:

5 pounds * 2.25 cups/pound = 11.25 cups

Therefore, there are approximately 11.25 cups of granulated sugar in a 5 pound bag.

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A connection is shown to be positive at 0.3. As a result, there is a good chance that the predicted value will be fairly close to the actual Value.

The correlation coefficient reveals the magnitude and axis of the association between two variables. The Correlation Coefficient, or R, has a range of values from - 1 to 1, with values closer to -1 and 1 denoting strong negative and positive relationships, respectively. This value can only be reached if the data is very accurately modeled.

calculation

0.3 > -1  ( so its not negative relationship )

and 0.3 is much closer to 1 so its show positive relationship

A connection is shown to be positive at 0.3. As a result, there is a good chance that the predicted value will be fairly close to the actual Value.

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The value of q is -27.

Recall Vieta's Formulas, which state that for a quadratic equation \(ax^2\) + bx + c = 0 with zeroes alpha and beta, the sum of the zeroes is equal to -b/a, and the product of the zeroes is equal to c/a.

In our equation \(x^2\) - 3x + q, the sum of the zeroes alpha and beta is -(-3)/1 = 3.

We are given that 2 alpha + 3 beta = 15. Substitute alpha = (15 - 3 beta)/2 into the equation.

Replace the value of alpha in the sum of zeroes equation: (15 - 3 beta)/2 + beta = 3.

Simplify the equation by multiplying both sides by 2: 15 - 3 beta + 2 beta = 6.

Combine like terms: 15 - beta = 6.

Subtract 15 from both sides: -beta = -9.

Multiply both sides by -1 to solve for beta: beta = 9.

Substitute the value of beta into the sum of zeroes equation: alpha = (15 - 3 * 9)/2 = -3.

Since we have the values of alpha and beta, we can find q using the product of the zeroes formula: q = alpha * beta = -3 * 9 = -27.

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Start by drawing a clear diagram representing the energy stores and pathways in the given scenario.

Identify the different energy stores involved. These may include kinetic energy, thermal energy, chemical energy, gravitational potential energy, etc.

Label each energy store with the appropriate name, such as "KE" for kinetic energy or "PE" for potential energy.

Determine the energy pathways between the stores. For example, if a moving object is slowing down due to friction, indicate the transfer of kinetic energy to thermal energy.

Label the pathways with arrows and use appropriate labels, such as "kinetic energy transferred to thermal energy" or "chemical energy converted to kinetic energy."

Remember to consider the specific context of the question and accurately represent the energy transfers and transformations occurring in the system.

If you have any specific questions or need further assistance with a particular scenario, please provide the details, and I'll be glad to assist you further.

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The ratio of chairs to tables in the conference room is 6 to 1. For every table, there are 3 tables, then, the amount of chairs is 18.

The unitary method is a method for solving a problem by the first value of a single unit and then finding the value by multiplying the single value.

The ratio of chairs to tables in the conference room is 6 to 1.

For every table, there are 3 tables,

if the ratio of chairs to tables is 6 : 1 and there are 3 tables in the room  

Then, the amount of chairs = 6 x 3

                                             = 18

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An ogive is used to plot cumulative frequency or cumulative relative frequency of each class against the upper limit of the corresponding class when displaying quantitative data. Option B.

An ogive is a graph that represents a cumulative distribution function (CDF) of a frequency distribution. It shows the cumulative relative frequency or cumulative frequency of each class plotted against the upper limit of the corresponding class. In other words, an ogive can be used to represent data through graphs by plotting the upper limit of each class interval on the x-axis and the cumulative frequency or cumulative relative frequency on the y-axis.

An ogive is used to display the distribution of quantitative data, such as weight, height, or time. It is also useful when analyzing data that is not easily represented by a histogram or a frequency polygon, and when we want to determine the percentile or median of a given set of data. Based on the information given above, option B: "Cumulative frequency or cumulative relative frequency of each class against the upper limit of the corresponding class" is the correct answer.

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The sides of the triangle are;

c = 5√2

b = 3√3

A right triangle is a triangle that has a right angle that measures 90 degrees. The hypotenuse, which is the side that faces the right angle, is the longest side. The right triangle's other two sides are referred to as its legs.

1) Cos 45 = 5/c

√2/2 = 5/c

c√2 = 10

c = 10/√2

c = 5√2

2) Tan 30 = b/3

√3/3 = b/3

3√3= 3b

b = 3√3/3

b = 3√3

We have used to concept of the special angles to solve the problem above.

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For no more than, the inequality used is → ≤ and for no less than, the inequality used is → ≥.

We have the following statements in inequalities -

no more than and no less than

For no more than, the inequality used is → ≤

For no less than, the inequality used is → ≥

Therefore, for no more than, the inequality used is → ≤ and for no less than, the inequality used is → ≥.

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Andace needs to score at least 98 on her fifth exam to have an average of 90 or better for the five exams.

To find out what score Andace needs to get on the fifth exam, we can use the formula for the average (also known as the mean):

Average = (sum of all scores) / (number of scores)

We know that Andace needs an average of 90 or better for the five exams. Therefore, the sum of all five scores must be at least 450 (90 multiplied by 5).

The sum of Andace's first four scores is:

96 + 84 + 95 + 82 = 357

To get an average of 90 or better for the five exams, Andace needs to get a total of:

450 - 357 = 93

on her fifth exam.

Since she has already taken four exams and the maximum score she can get on her fifth exam is 100, we can subtract her first four scores from 93 to find out what she needs to score on her fifth exam:

93 - 96 - 84 - 95 - 82 = -164

Since it's not possible for Andace to score a negative number on her fifth exam, we can conclude that she needs to score at least 98 (93 - 5) to have an average of 90 or better for the five exams.

In conclusion, Andace needs to score at least 98 on her fifth exam to have an average of 90 or better for all five exams.


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Answer:

it classified as a

error.

Step-by-step explanation: