Use multiplication to find the quotient. 5 / 1/4

Answer:

-3(x - 3) (x + 1)

Step-by-step explanation:

Let's check

-3(x - 3) (x + 1)

(-3x + 9) (x + 1)

-3\(x^{2}\) -3x + 9x + 9

-3\(x^{2}\) + 6x + 9

Answer:

-3(x-3)(x+1)

Step-by-step explanation:

A common factor that all three numbers share is that they are divisible by 3, so we can factor 3 out. Typically, I take out the negative first:

-3(\(x^2-2x-3\)) (always remember to change signs!)

Now, we are left with \(x^2-2x-3\), and to factor that out, we need to find two numbers that add up to -2 and multiply to -3. These two numbers will be 1 and -3, so we can write our factor like this:

(x-3)(x+1)

Let's add back in the -3 from earlier to complete our factoring:

-3(x-3)(x+1)

Answer:

x = 25

Step-by-step explanation:

Angle 1 = 2x + 10

Angle 2 = 4x + 20

These two angles are going to add up to 180 because 180 is a straight line so we get the equation:

2x + 10 + 4x + 20 = 180

6x + 10 + 20 = 180

6x + 30 = 180

6x = 150

x = 25

No, a fraction is not a term. The distributive property can be applied to fractions because it is a general mathematical principle.

A fraction is not considered a term in the traditional sense. It is a mathematical expression that represents division. However, the distributive property can still be applied to fractions because the property itself is a fundamental rule of arithmetic that extends beyond specific types of expressions.

The distributive property states that for any real numbers a, b, and c:

a × (b + c) = (a × b) + (a × c).

When working with fractions, we can apply the distributive property as follows:

Let's consider the expression: a × (b/c).

We can rewrite this as: (a × b)/c.

Now, let's distribute the 'a' to 'b' and 'c':

(a × b)/c = (a/c) × b.

In this step, we applied the distributive property to the fraction (a/c) by treating it as a whole.

Although fractions represent division, we can still use the distributive property because it is a general mathematical principle that allows for manipulating expressions involving addition, subtraction, multiplication, and division.

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Answer:

500/31.25=16

Step-by-step explanation:

The school bought 16 calculators

Company: Amazon, 8 Steps in the Business Model: Define the value proposition. What value does Amazon offer its customers? Amazon offers a convenient and affordable way to shop for a wide variety of products.

Identify the target market. Who are Amazon's customers? Amazon's target market is people who want to buy products online.

Determine the revenue streams. How does Amazon make money? Amazon makes money through product sales, advertising, and subscription fees.

Assess the cost structure. What are Amazon's costs? Amazon's costs include salaries, rent, and marketing.

Develop a marketing plan. How will Amazon reach its target market? Amazon's marketing plan includes online advertising, search engine optimization, and social media marketing.

Create a sales strategy. How will Amazon sell its products? Amazon's sales strategy includes a focus on customer service and convenience.

Build a team. What skills and experience does Amazon need to build a successful business? Amazon needs a team with a variety of skills, including product development, marketing, and sales.

Continuously improve. How will Amazon ensure that its business model is successful? Amazon will continuously improve its business model by listening to customer feedback and adapting to changes in the market.

The 8 steps in the business model are essential for any company that wants to be successful. By following these steps, companies can ensure that they are offering a valuable product or service to the right customers, and that they are able to make money.

In the case of Amazon, the company has clearly defined its value proposition, target market, and revenue streams.

Amazon's marketing plan is also effective, and the company has built a team with the skills and experience necessary to be successful. Finally, Amazon is committed to continuous improvement, which is why the company has been so successful over the years.

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The required number of employees after 11 years is given as 427.62 employees.

The equation model is defined as the model of the given situation in the form of an equation using variables and constants.

Here,
The number of employees for a certain company has been decreasing each year by ​4%. If the company currently has 670 employees and this rate​ continues,

An equation model for the given scenario is given as for y [decreasing employees] in x years.
y = 670[1 - 4%]ˣ
y = 670[0.96]ˣ

Put x = 11
y = 670[0.96]¹¹
y = 427.62 employees

Thus, the required number of employees after 11 years is given as 427.62 employees.

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When using the "rule of thirds" when examining an extremity, the bone is divided into thirds. Therefore, the correct option is option C.

First aid is the initial and urgent help provided to anyone who has a little or major disease or injury,[1] with the goal of preserving life, preventing the condition from getting worse, or promoting recovery until medical help arrives. First aid is typically administered by a person with only little medical training. The idea of first aid is expanded to include mental health in mental health first aid. When using the "rule of thirds" when examining an extremity, the bone is divided into thirds.

Therefore, the correct option is option C.

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Answer:

Divide 3 on both sides to get x < 1

Step-by-step explanation:

Hope this helps :)

a) To calculate the pressure at 12 hours of shut-in:

substitute the given values into the pressure buildup equation and solve for P(t=12).

b) Superposition in time is used in pressure buildup analysis by adding or summing the responses of multiple transient tests to analyze and interpret reservoir behavior and properties.

We have,

a) To calculate the pressure in the production well at 12 hours of a shut-in, we can use the equation for pressure transient analysis during shut-in periods, known as the pressure buildup equation:

P(t) = Pi + (Q / (4πKh)) * log((0.14ϕμCt(t + Δt)) / (Bo(ΔP + Δt)))

Where:

P(t) = Pressure at time t

Pi = Initial reservoir pressure

Q = Flow rate

K = Permeability

h = Reservoir thickness

ϕ = Porosity

μ = Viscosity

Ct = Total compressibility

t = Shut-in time (12 hours)

Δt = Time since the start of the flow period

Bo = Oil formation volume factor

ΔP = Pressure drop during the flow period

Given:

Pi = 3100 psi

Q = 200 STB/day

K = 45 md

h = 60 ft

ϕ = 15%

μ = 1.2 cp

Ct = 15x10^-6 psi^-1

Bo = 1.3 bbl/STB

t = 12 hours

Δt = 48 hours

ΔP = Pi - P(t=Δt) = Pi - (Q / (4πKh)) * log((0.14ϕμCt(Δt + Δt)) / (Bo(ΔP + Δt)))

Substituting the given values into the equation:

ΔP = 3100 - (200 / (4π * 45 * 60)) * log((0.14 * 0.15 * 1.2 * 15x\(10^{-6}\) * (48 + 48)) / (1.3 * (3100 - (200 / (4π * 45 * 60)) * log((0.14 * 0.15 * 1.2 * 15 x \(10^{-6}\) * (48 + 48)) / (1.3 * (0 + 48))))))

After evaluating the equation, we can find the pressure in the production well at 12 hours of shut-in.

b) Superposition in time is a principle used in pressure transient analysis to analyze and interpret pressure build-up tests.

It involves adding or superimposing the responses of multiple transient tests to simulate the pressure behavior of a reservoir.

The principle of superposition states that the response of a reservoir to a series of pressure changes is the sum of the individual responses to each change.

Superposition allows us to combine the information obtained from multiple tests and obtain a more comprehensive understanding of the reservoir's behavior and properties.

It is a powerful technique used in reservoir engineering to optimize production strategies and make informed decisions regarding reservoir management.

Thus,

a) To calculate the pressure at 12 hours of shut-in:

substitute the given values into the pressure buildup equation and solve for P(t=12).

b) Superposition in time is used in pressure buildup analysis by adding or summing the responses of multiple transient tests to analyze and interpret reservoir behavior and properties.

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Answer:

a.c,means ac or ca and 5.5=25,So 10 ac is not equivalent

Cylindrical shape.

To model the volume of the cut tree, the appropriate geometric shape is a cylinder.

This is because a cylinder's volume is equal to the product of the base's area and the height of the cylinder,

which can be determined by the length of the equal sections of the tree trunk.

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Answer:

2x(x+3)=0

x=0, -3

Step-by-step explanation:

2x^2+6x=0

2(x^2+3x)=0

2x(x+3)=0

x=0, -3

first, find all the common terms/factors and divide them out of the entire term, then solve for x. If the equation is equal to 0, set each part equal to 0. In this example, it would be 2x=0 and x+3=0. for 2x=0, what times 2 is equal to 0? the answer is zero. For x+3=0 the goal would be to get x by itself on one side of the rquation. to do that we need to subtract 3 from x+3 and what you do to one side you must do to the other. 0-3= -3

A number that represents the property of the sample is the statistics.

Statistics refer to that number that describes a particular property of a sample set of numbers. It is the common property shared by all the numbers of the sample set. It involves the collection of data and information and then categorizing them according to their properties and inferences.

'Mean and proportion' is mathematical calculations that can be carried out on statistic number sets.

Mean refers to the average of the number set that is provided to us. It is calculated by adding the numbers and dividing them by the number of terms.

Proportion refers to the fraction of the number set according to some characteristics shared by the numbers.

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Answer:

y = 2x + 5

Step-by-step explanation:

For this question we have to use the equation y=mx+c

m represents the gradient

c represents where the line crosses the y-axis (the y-intercept)

1) Find the gradient

To find the gradient we have to divide the change in y by change in x

In this question that means we have to divide 2 by 1

2) Find the y-intercept

We can see that the line crosses the y-axis on the point (0,5) meaning the y-intercept is 5

y = 2x + 5

Hope this helps, have a lovely day! :)

The function is an exponential function because the y values increase by an equal factor over equal intervals of x-values.

An equation is an expression that shows the relationship between two or more numbers and variables.

At point (1, 9):

9 = ab¹

At point (2, 36):

36 = ab²

b = 4, a = 2.25

y = 2.25(4)ˣ

The function is an exponential function because the y values increase by an equal factor over equal intervals of x-values.

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Answer:

0.00462962962

Step-by-step explanation:

Total 4 dummy variables would be needed to include this categorical variable in a regression model.

A regression analysis serves as the foundation for many types of forecasting and determining the effects on target variables. When you hear about studies in the news about fuel efficiency, pollution causes, or the effects of screen time on learning, a regression model is frequently used to back up their claims.

A dummy variable (also known as an indicator variable or simply dummy) in regression analysis is one that takes the values 0 or 1 to indicate the absence or presence of some classification impact that may be predicted to shift the result.

Total 4 dummy variables would be needed to include this categorical variable in a regression model.

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Health Sciences or Teacher Prep?

Answers are B, C & E.

Answer:

Terms: 7, 5c, 2k, 15

Variables: C, K

Co efficients: 5, 2

Constants: 7, 15

To find the values of k for which the quadratic expression 5x^2 + kx - 8 factors into two binomials, we can use the factoring method or the quadratic formula. Let's use the factoring method.

Step 1: Write the quadratic expression in the form of (ax^2 + bx + c).

The given quadratic expression is already in the correct form: 5x^2 + kx - 8.

Step 2: Find two numbers that multiply to give ac (product of the coefficient of x^2 and the constant term) and add up to give b (the coefficient of x).

In this case, ac = 5 * -8 = -40.

We need to find two numbers that multiply to -40 and add up to k.

Step 3: List all the possible pairs of numbers that multiply to -40.

The pairs of numbers are (-1, 40), (1, -40), (-2, 20), (2, -20), (-4, 10), (4, -10), (-5, 8), and (5, -8).

Step 4: Determine which pair of numbers adds up to k.

Since the coefficient of x is k, we need to find the pair of numbers that adds up to k.

For example, if k = -4, the pair (-5, 8) adds up to -4.

Step 5: Write the factored form of the quadratic expression.

The factored form of the quadratic expression is obtained by writing the binomials with x and the two numbers found in step 4.

For example, if k = -4, the factored form would be (5x - 8)(x + 1).

To find all the values of k, repeat steps 4 and 5 for each pair of numbers. The values of k will be the sums of the pairs of numbers.

For example, if the pairs are (-5, 8) and (5, -8), the values of k would be -4 and 4.

In summary, the values of k that make the quadratic expression 5x^2 + kx - 8 factor into two binomials are -4 and 4.

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The probability that all nationalities are represented is 0.5%.

What does the math term "probability" mean?

Simply put, probability measures how probable something is to occur. We can discuss the probabilities of various outcomes, or how likely they are, whenever we are unsure of how an event will turn out.

                              Statistics is the study of events subject to probability.

Given that a foreign student club lists as its members 3 Canadians, 2 Japanese, 4 Italians, and 3 Germans, if a committee of 4 is selected at random, to fi nd the probability that (A) all nationalities are represented; (B) all nationalities except Italian are represented; the following calculations must be performed:

3 + 2 + 4 + 3 = 12

3/12 x 2/11 x 4/10 x 3/9 = X

0.0050 = X

0.0050 x 100 = 0.5

Therefore, the probability that all nationalities are represented is 0.5%.

7/12 x 6/11 x 5/10 x 4/9 = X

0.070 = X

0.070 x 100 = 7

In turn, the probability that all nationalities except Italian are represented is 7%.

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The word sum for 439 and 514 = 953

Word sum simply means the addition of two or more whole numbers.

This means that to calculate the word sum of 439 and 514, the both given figures are added up together.

Given, 439 plus 514

That is,

439 + 514 = 953

Therefore, the word sum for 439 and 514 = 953

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The closest answer among the given options is B) 2,100.

To estimate the number of people in the town who would name chocolate as their favorite ice-cream flavor, we can use proportions. We know that 7 out of 50 people in the sample named chocolate as their favorite. To find the proportion of chocolate lovers in the sample, we can divide the number of chocolate lovers by the total number of people surveyed:

7 chocolate lovers / 50 people surveyed = 0.14

Now, we can apply this proportion to the total population of the town to estimate the number of chocolate lovers:

0.14 * 14,878 (total population) ≈ 2,082.92

Since we can't have a fraction of a person, we can round this number to the nearest whole number:

Approximately 2,083 people in the town would be expected to name chocolate as their favorite ice-cream flavor.

The closest answer among the given options is B) 2,100.

Answer:

k=100

y the varies inversely as x

\(y \alpha {x}^{ - 1} \)

that is y is equal to inverse of x

introducing a constant k, you have

\( k = x \times y \\ 5 \times 20 \\ 100\)

Answer: y = 3x+9

Step-by-step explanation:

points are -2,3 and -1,6

6-3/-1-(-2) = 3

y-int is 9 since its given

The first law of thermodynamics is a fundamental principle in physics that states energy cannot be created or destroyed, only converted from one form to another. It can be expressed in terms of heat and work through the equation:

ΔU = q - w

where ΔU represents the change in internal energy of a system, q represents the heat added to the system, and w represents the work done on or by the system.

Now, let's address when the quantities q and w would be negative numbers.

1) When q is negative: This occurs when heat is removed from the system, indicating an energy loss. For example, when a substance is cooled, heat is extracted from it, resulting in a negative value for q.

2) When w is negative: This occurs when work is done on the system, decreasing its energy. For instance, when compressing a gas, work is done on it, leading to a negative value for w.

In both cases, the negative sign indicates a reduction in energy or the transfer of energy from the system to its surroundings.

In summary, the first law of thermodynamics can be expressed as ΔU = q - w, and q and w can be negative numbers when energy is lost from the system through the removal of heat or when work is done on the system.

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How you calculate this is this:

So, any two given sides much be greater than the other side.

7. The answer is no. 1 plus 5 is 6 right? 6 is less than 11, so it can never be a triangle.

8. The answer is yes. 3 plus 6 is greater than 7. 3 plus 7 is greater than 6. 6 plus 7 is greater than 3.

9. The answer is yes. 9 plus 11 is greater than 12. 9 plus 12 is greater than 11. 11 plus 12 is greater than 9.

Answer:

All you need to do is plug the values and then simplify!

\( \large{ \tt{ - 2x + 3y}}\)

\( \longrightarrow \: \large{ \tt{ - 2 \times ( - 2) + 3 \times ( - 5)}}\)

\( \longrightarrow \large{ \tt4 + ( - 15){}}\)

\( \longrightarrow \large{ \tt{4 - 15}}\)

\( \longrightarrow{ \large{ \boxed{ \tt{ - 11}}}}\)

~Hope this helps! *Let me know if you have any other queries regarding my answer ! <3