3. Haley ran 14 miles in 84 minutes. She ran each mile in the same amount of time. How long
did it take Haley to run 1 mile?

OLAP is used for the analysis of accumulated data, and it requires a data warehouse.

while OLTP is used for transaction processing and requires a database optimized for real-time transaction processing. The analysis of accumulated data is known as Online Analytical Processing (OLAP), and it involves a data warehouse. OLAP is a business intelligence tool used for multi-dimensional analysis of large data sets, while a data warehouse is a central repository that stores historical and current data from multiple sources in a structured manner. OLAP allows users to perform complex queries on large data sets, analyze trends, and make informed business decisions. It is often used in data mining and decision support systems. OLAP tools can be used to slice and dice data, drill down to more detailed data, and roll up to higher levels of summary data. OLAP is primarily used for analytical purposes and is not designed for transaction processing. On the other hand, a data warehouse is designed to support OLAP and is used for storing large amounts of historical data that can be queried and analyzed. Data is extracted from various sources, transformed, and loaded into the data warehouse in a structured format, enabling efficient querying and analysis. OLTP (Online Transaction Processing), on the other hand, is a type of transaction processing that is designed for processing real-time transactions in databases. It is used for day-to-day operations such as order processing, inventory management, and customer management. OLTP is optimized for processing large volumes of transactions in real-time, and is not suitable for analytical purposes.

In summary, OLAP is used for the analysis of accumulated data, and it requires a data warehouse, while OLTP is used for transaction processing and requires a database optimized for real-time transaction processing.

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.

Gender and marital status and Job title.

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Answer:

Since the line is not filled in it has to be greater than or less than it cannot be equal to so x<-1.

The inequality relating −2\(e^{(-n/n^2)}\) to 121/\(n^2\) for n ≥ 1 is -2\(e^{(-n/n^2)}\) ≤ 121/\(n^2\).

To derive the inequality, we start by comparing the expressions −2\(e^{(-n/n^2)}\)  and 121/\(n^2\).

Since we want to express the numbers in exact form, we keep them as they are.

The inequality states that −2\(e^{(-n/n^2)}\)  is less than or equal to 121/\(n^2\).

This means that the left-hand side is either less than or equal to the right-hand side.

The exponential function e^x is always positive, so −2\(e^{(-n/n^2)}\)  is negative or zero.

On the other hand, 121/\(n^2\) is positive for n ≥ 1.

Therefore, the inequality −2\(e^{(-n/n^2)}\)  ≤ 121/\(n^2\) holds true for n ≥ 1.

The negative or zero value of −2\(e^{(-n/n^2)}\)  ensures that it will be less than or equal to the positive value of 121/\(n^2\).

In symbolic notation, the inequality can be written as −2\(e^{(-n/n^2)}\)  ≤ 121/\(n^2\) for n ≥ 1.

This representation captures the relationship between the two expressions and establishes the condition that must be satisfied for the inequality to hold.

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(x1 , y1) = (-4, -2)

(x2 , y2) = (5 , -2)

A translation is a transformation that occurs when a figure is moved from one location to another location without changing its size, shape or orientation.

How to Translate a Triangle

Step 1: Identify the coordinates of each of the vertices of the triangle.

Step 2: Translate each point by adding the horizontal translation value to the x-coordinate of each vertex and the vertical translation value to the y-coordinate of each point. For these translations, add a negative number if the horizontal translation is to the left or if the vertical translation is downward.

Step 3: Plot the three translated points and draw the triangle by connecting each pair of points with a straight line.

Coordinates are written as (x, y) meaning the point on the x axis is written first, followed by the point on the y axis.

Given data

(x1 , y1) = (-4, -2)

(x2 , y2) = (5 , -2)

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To find f(16), we can use the given recursive formula. Since 16 is an even number, we apply the formula:

f(16) = 2 * f(16/2) + 3 = 2 * f(8) + 3.

Next, we apply the formula again with 8 as an even number:

f(8) = 2 * f(8/2) + 3 = 2 * f(4) + 3.

Repeating the process with 4:

f(4) = 2 * f(4/2) + 3 = 2 * f(2) + 3.

Finally, applying the formula with 2:

f(2) = 2 * f(2/2) + 3 = 2 * f(1) + 3 = 2 * 5 + 3 = 13.

Therefore, f(16) = 13.

To estimate the function f with big-O notation, we observe that each step in the recursion doubles the input size while adding a constant term of 3. Hence, we can say that f(n) is O(log n) since it grows logarithmically with respect to n.

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Answer:

7

Step-by-step explanation:

Answer:

√52 = 2√13

Step-by-step explanation:

The measure of arc JML is -46/17.

To find the measure of arc JML, we need to equate it to the measure of angle JKL.

Given:

Measure of JKL = 8x - 6

Measure of JML = 25x - 13

Since angle JKL and arc JML correspond to each other, they have the same measure.

Therefore, we can set up the equation:

8x - 6 = 25x - 13

Next, we solve for x:

8x - 25x = -13 + 6

-17x = -7

x = -7 / -17

x = 7/17

Now, substitute the value of x back into the equation for the measure of JML:

Measure of JML = 25x - 13

Measure of JML = 25 × (7/17) - 13

Measure of JML = (175/17) - (221/17)

Measure of JML = -46/17

Therefore, the measure of arc JML is -46/17.

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Answer: area =45   perimeter=28

Step-by-step explanation:    height is 9, length is 5   5x9 =45

9+9+5+5= 28

In general, different refrigerants should not be mixed or recovered into the same cylinder.

Different refrigerants have unique chemical compositions and properties that make them incompatible with one another. Mixing different refrigerants can lead to unpredictable reactions, loss of refrigerant performance, and potential safety hazards. Therefore, it is generally recommended to avoid recovering different refrigerants into the same cylinder.

When recovering refrigerants, it is important to use separate recovery cylinders or tanks for each specific refrigerant type. This ensures that the refrigerants can be properly identified, stored, and recycled or disposed of in accordance with regulations and environmental guidelines.

The refrigerant recovery process involves capturing and removing refrigerant from a system, storing it temporarily in dedicated containers, and then transferring it to a proper recovery or recycling facility. Proper identification and segregation of refrigerants during the recovery process help maintain the integrity of each refrigerant type and prevent contamination or cross-contamination.

To maintain the integrity and safety of different refrigerants, it is best practice to recover each refrigerant into separate cylinders. Mixing different refrigerants in the same cylinder can lead to complications and should be avoided. Following proper refrigerant recovery procedures and guidelines helps ensure the efficient and environmentally responsible management of refrigerants.

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The number of different refrigerants that may be recovered into the same cylinder is zero.

When it comes to refrigerants, it is important to understand that different refrigerants should not be mixed together. Each refrigerant has its own unique properties and should be handled and stored separately. mixing refrigerants can lead to chemical reactions and potential safety hazards.

The recovery process involves removing refrigerants from a system and storing them in a cylinder for proper disposal or reuse. During the recovery process, it is crucial to ensure that only one type of refrigerant is being recovered into a cylinder to avoid contamination or mixing.

Therefore, the number of different refrigerants that may be recovered into the same cylinder is zero. It is essential to keep different refrigerants separate to maintain their integrity and prevent any adverse reactions.

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99% Confidence Interval for the Population Percentage of Defective Disks = (0.1004, 0.1196).

Rules for Decimals. Align up the decimal points. To ensure that every one of the values have the same number of places following the decimal, add 0s. Add the same way you would with complete numbers.

Step 1:

Sample Size: n=7002

Number of non-defective disks =6232

Number of defective disks: x = 7002-6232=770

Sample proportion \(\widehat{p}\) = x/n = 770/ 7002 = 0.110

Estimated proportion of disks which are defective: Sample proportion: \(\widehat{p}\) = 0.110

Step 2:

Range of confidence for the population proportion:

\(=\widehat{p}\pm z_{\alpha /2}\sqrt{(\widehat{p}(1-\widehat{p}))/n}\)

\(\alpha = (100-99)/100 = 0.01; \alpha/2 = 0.005\)

99% Confidence interval =

\(=\widehat{p}\pm z_{0.005}\sqrt{(\widehat{p}(1-\widehat{p}))/n}\)

from standard normal tables z0.005 = 2.58

99% Confidence Level for the Population Percentage of Defective Disks =

\(=\widehat{p}\pm z_{0.005}\sqrt{(\widehat{p}(1-\widehat{p}))/n}\)

\(=0.11\pm 2.58\sqrt{(0.11(1-0.11))/7002}\)

\(=0.11\pm 2.58\sqrt{(0.110\times 0.89)/7002}=0.11\pm 2.58\sqrt{\frac{0.0979}{7002}}\)

\(=0.11\pm 2.58\times 0.0037 = 0.11\pm 0.0096 =(0.1004, 0.1196)\)

99% Confidence interval for population proportion of disks which are defective= (0.1004, 0.1196).

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The distance between these two numbers on a number line is equal to -10.6.

A number line can be defined as a type of graph with a graduated straight line which contains both positive and negative numbers (numerical values) that are placed at equal intervals along its length.

In Mathematics, a number line can be used to determine the difference between two numbers such as -2.2 and 8.4. Also, a number line typically increases in numerical value towards the right and decreases in numerical value towards the left.

Now, we can determine the distance by taking the difference between both values as follows:

Distance = -2.2 - 8.4

Distance = -10.6.

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Answer:

i think it is, the second one and the fourth one

Step-by-step explanation:

Answer:

The answer is C

Step-by-step explanation:

The final solution of the given problem is X = 2.82, Y = 1.04 for an Optimal solution Value of -16.93.

Given the optimization problem in 2X2 – 14X + 2XY + Y2 – 18Y + 50s.t. X + 4Y ≤ 8, we have to find the minimum solution to the given problem.

Solution To find the solution to the given optimization problem, we need to use the Lagrange multiplier method. Using this method, we have the following system of equations: 2x - 14 + 2y = λ4y - λ = 0x + 4y ≤ 8Solving the above equations, we get the following solutions:x = 3, y = 1, λ = 6

The optimal solution is X = 3, Y = 1, for an optimal solution value of -17. If the right-hand side of the constraint is increased from 8 to 9, the objective function would change by -2.29. (Decrease by 2.29)Now, we have to resolve the problem with a new right-hand side of 9.

The new optimization problem will be in 2X2 – 14X + 2XY + Y2 – 18Y + 50s.t. X + 4Y ≤ 9

Using the same method as above, we have the following system of equations:2x - 14 + 2y = λ4y - λ = 0x + 4y ≤ 9Solving the above equations, we get the following solutions:x = 2.82, y = 1.04, λ = 6.07

The objective function value is -16.93 so the actual increase/decrease is only -0.07 rather than -2.29. Hence, the actual change is very different from the estimated change.

Therefore, the final solution of the given problem is X = 2.82, Y = 1.04 for an optimal solution value of -16.93.

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Answer:

\(a_n=(-1) \cdot 7^{n-1}\)

Step-by-step explanation:

\(\boxed{\begin{minipage}{5.5 cm}\underline{Geometric sequence}\\\\$a_n=ar^{n-1}$\\\\where:\\\phantom{ww}$\bullet$ $a$ is the first term. \\\phantom{ww}$\bullet$ $r$ is the common ratio.\\\phantom{ww}$\bullet$ $a_n$ is the $n$th term.\\\phantom{ww}$\bullet$ $n$ is the position of the term.\\\end{minipage}}\)

Given sequence:

The given sequence is a geometric sequence since there is a common ratio between consecutive terms.

To calculate the common ratio, divide consecutive terms:

\(\implies r=\dfrac{a_2}{a_1}=\dfrac{-7}{-1}=7\)

\(\implies r=\dfrac{a_3}{a_2}=\dfrac{-49}{-7}=7\)

Therefore, the common ratio, r, is 7.

Substitute the found value of r and the first term, -1, into the formula to create an equation for the nth term:

\(\implies a_n=(-1) \cdot 7^{n-1}\)

Answer:

a(n) = \( - \frac{ {7}^{n} }{7} \)

The probability that both selected people like bananas is: (0.68) * (0.89) = 0.6052

We want to find the probability that both of the selected people like bananas

Let's define the following sets:

A: Set of people who like apples.

B: Set of people who like bananas.

O: Set of people who like oranges.

We are given the following information:

|A ∩ B ∩ O| = 12 (The number of people who like all three fruits is 12)

|A| = 34 (The number of people who like apples is 34)

|A ∩ B - O| = 7 (The number of people who like apple and banana but not oranges is 7)

|B ∩ O| = 16 (The number of people who like bananas and oranges is 16)

|A' ∩ B' ∩ O'| = 4 (The number of people who don't like any of the fruits is 4)

|O| = 25 (The number of people who like oranges is 25)

|O - (A ∪ B)| = 0 (All people who like oranges also like at least one other fruit)

To calculate the probability that both selected people like bananas, we need to find the probability of selecting two individuals who both like bananas out of the total population of 50 people.

Let's calculate the probability step by step:

1. Calculate the probability of selecting the first person who likes bananas:

  P(B) = |B| / 50

  P(B) = 34 / 50

  P(B) = 17 / 25

  P(B) = 0.68

2. Calculate the probability of selecting the second person who likes bananas given that the first person already likes bananas:

  P(B|B) = (|B| - 1) / (50 - 1)

  P(B|B) = (34 - 1) / 49

  P(B|B) = 33 / 49

  P(B|B) = 0.89

3. Calculate the overall probability of both selected people liking bananas:

  P(B and B) = P(B) * P(B|B)

  P(B and B) = (17 / 25) * (33 / 49)

  P(B and B) = 0.68 * 0.89

  P(B and B) = 0.6052

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Answer:

<ABC = 63

AB = 26.432

AC = 23.551

Step-by-step explanation:

here are the steps

Answer:

3x + 4

.................

The factor 3x + 4 have common in both the given expressions.

A whole number that is a factor of two or more numbers is referred to as a common factor. The largest factor that will divide into two or more numbers is known as the highest common factor (HCF). The smallest multiple shared by two or more numbers is known as the lowest common multiple (LCM).

The given expressions are,

\(9x^2 + 24x + 16, 9x^2 - 16\)

The expression \(9x^2 + 24x + 16\) is of the form \((a + b)^2\)

where \(a = 3x , b = 4\)

Therefore,   \(9x^2 + 24x + 16 = (3x + 4)^2.\)

The expression \(9x^2 - 16\)   is of the form \(a^2 - b^2\).

It can be written as, \(a^2 - b^2 = (a - b)(a + b)\)

Here, \(a = 3x , b = 4\)

Therefore,

\(9x^2 - 16 = (3x - 4)(3x + 4)\)

So, in both the expressions the factor (3x + 4) is common.

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Answer:

2 liters. 8 divided by 2 lol

Answer: 2

Your welcome

Answer:

2/15

Step-by-step explanation:

Answer:

2/15 hope this helps :)

Step-by-step explanation:

Answer:

the answer is 2

Step-by-step explanation:

The area of the rhombus with each side 2cm and angle between two adjacent sides is 60° is equals to the 2√3 cm².

We have, rhombus ABCD, with length of rhombus = 2 cm

The angle between two adjacent sides of a rhombus = 60°

We have to calculate the area of the rhombus ABCD. A rhombus is a type of quadrilateral with both pairs of opposite sides parallel and all sides the same length, i.e., an equilateral parallelogram. The area of a rhombus with and height is, A = base× height. Draw an altitude/prependicular from D to E (refer in the above figure). This form a 30-60-90 right triangle. Now, angle DAE = 60°, angle ADE =30°. Since AB = AD = 2cm , then the side opposite the 30° angle is half of the hypotenuse, or half of AD = 2. The side opposite angle ADE is AE, so,

AE = 1 cm. Using the Pythagoras threoem,

AD² = AE² + DE²

=> DE² = AD² - AE²

=> DE² = 2² - 1 = 3

=> DE = √3

Thus, remaining side, DE is equal to √3 cm. The height of the figure is equal to √3 and the base equals to 2cm. So,

Area of rhombus, A = base × height

=> A = 2× √3

Hence, the total area is 2√3 cm².

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a. The expression for dτ/dP is (-P(q)q) / ((1 - τ)q - dC(q)/dP).

a. To derive an expression for dτ/dP, we need to differentiate the profit function with respect to τ and P. Let's assume that P(q) is the price function and C(q) is the cost function. The profit function is given by:

π = (1 - τ)P(q)q - C(q)

Differentiating π with respect to τ, we get:

dπ/dτ = -P(q)q

Next, let's differentiate π with respect to P:

dπ/dP = (1 - τ)(dP(q)/dP)q + P(q)(dq/dP) - dC(q)/dP

Since dP(q)/dP = 1 and dq/dP = 0 (monopolist's quantity does not depend on price), the above expression simplifies to:

dπ/dP = (1 - τ)q - dC(q)/dP

Finally, to find dτ/dP, we divide dπ/dτ by dπ/dP:

dτ/dP = (dπ/dτ) / (dπ/dP) = (-P(q)q) / ((1 - τ)q - dC(q)/dP)

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The measure of the side 'x' is 16.31 m. The correct option is C.

Trigonometry is a branch of mathematics that deals with the study of the relationships between the sides and angles of triangles. It is a fundamental part of geometry that has many practical applications in fields such as physics, engineering, navigation, and surveying.

Given that in a right-angled triangle, the value of side RS is x, angle R is 25° and the side RT is 18 m.

The value of x will be calculated as,

sin65° = x / 18

x = 18 x sin65°

x = 16.31 m

Hence, the correct option is C.

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Answer: 0.09m > 56.60 + 0.07m, where m > 2830.

Step-by-step explanation:

Let's assume that Plan A costs more than Plan B for monthly phone use greater than some value m, where m is the number of minutes of phone use in a month.

For Plan A, the monthly cost can be expressed as:

Cost_A = 0 + 0.09m = 0.09m

For Plan B, the monthly cost can be expressed as:

Cost_B = 56.60 + 0.07m

To find the value of m for which Plan A costs more than Plan B, we need to set the two costs equal to each other and solve for m:

0.09m = 56.60 + 0.07m

0.02m = 56.60

m = 56.60 / 0.02

m = 2830

Therefore, for monthly phone use greater than 2830 minutes, Plan A will cost more than Plan B.

In mathematical notation, we can express this as:

0.09m > 56.60 + 0.07m, where m > 2830.

Answer:

It’s correct

Step-by-step explanation:

You‘ve got the first angle correct! You‘ve got the second angle correct. The third angle is also correct! angle.

Now the third angle has a way of Tricken ya! So heres a way to solve:

5 x 20= 100

100-40= 60

GOOD JOB! have a good night!

The basic function equivalent to the piecewise-defined function f(x) = x if x ≥ 0 and -x if x < 0 is f(x) = |x|, which represents the absolute value of x.

The given piecewise-defined function f(x) has different expressions for different intervals. For x greater than or equal to zero, f(x) takes the value of x. For x less than zero, f(x) is equal to -x. We need to find a basic function that captures this behavior.

Among the options provided, f(x) = |x| is equivalent to the given piecewise function. The absolute value function, denoted by |x|, returns the positive value of x regardless of its sign. When x is non-negative, |x| equals x, and when x is negative, |x| is equal to -x, mirroring the conditions of the piecewise-defined function.

The function f(x) = |x| represents the absolute value of x and matches the behavior of the given piecewise-defined function, making it the equivalent basic function.

In summary, the basic function equivalent to the piecewise-defined function f(x) = x if x ≥ 0 and -x if x < 0 is f(x) = |x|, which represents the absolute value of x.

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Answer:

Right scalene

Step-by-step explanation: