Find the area of the region bounded by the graph of f and the x-axis on the given interval. f(x) = x^2 - 35; [-1, 4]

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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Answer:

9 houses were not decorated for christmas

Step-by-step explanation:

If 80% were decorated, then 20% were not decorated

80 to 20 is a ratio of 4 : 1

So the number of decorated houses is 4 times the number of undecorated houses

The number of undecorated houses will be

36/4 = 9

Answer and Step-by-step explanation:

Picture this:

There is a base number, and when this number gets multiplied by itself 3 times, we say the number got cubed.

To find the cubic root, we find the number that had to multiply itself 3 times that got the bigger number.

Example:

Let's say we are given the number 27.

If we take the cube root of 27, we get 3.

\(\sqrt[3]{27}\) = 3

This is because 3 times itself 3 times is 27.

3 × 3 × 3 = 27

9 × 3 = 27

27 = 27

Another Example:

We are given the number 970299.

If we put this into a calculator and press the button to do this: \(\sqrt[3]{x}\), then, in some calculators, it would look like this: \(\sqrt[3]{972099}\)

We we click to solve, we get that base number, or the cubed root, to be 99.

That means 99 was multiplied by itself 3 times to get 972099.

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Answer:

72km/h

Step-by-step explanation:

Bus - 45 mins at 40km/h

Car - 25 mins at ?

First, find the distance travelled by the bus (since, the journey of the two vehicles are the same, the distance would be the same as well)

Now we can find the speed of the car using the equation

The only root of the characteristic equation is x = 2/3, which is a real and negative number. Since the root is negative, the model is stable.

In order to determine the stability of a mathematical model, we can examine the behavior of the solutions of the model over time. Specifically, we are interested in whether the solutions approach a fixed point, oscillate around a fixed point, or diverge to infinity.

One way to analyze the stability of a model is to consider the characteristic equation associated with the model. The characteristic equation is obtained by setting the right-hand side of the model to zero and examining the roots of the resulting equation. The roots of the characteristic equation provide information about the behavior of the solutions of the model.

In this problem, the given model is: 4x˙−6x=7

To find the roots of the characteristic equation, we set the right-hand side of the model to zero:

4x˙−6x=0

This simplifies to: 4x = 6x˙

Dividing by x˙ and assuming x is not equal to zero, we get:

4/x = 6˙x/x˙4/x = 6x = 4/6 = 2/3

Therefore, the only root of the characteristic equation is x = 2/3, which is a real and negative number. Since the root is negative, the model is stable. This means that the solutions of the model will approach a fixed point over time, rather than diverging to infinity or oscillating around a fixed point.

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Answer:

112

Step-by-step explanation:

Answer:

6.5

Step-by-step explanation:

26 - 13 = 13

13/2 = 6.5

Answer:

6.5

Step-by-step explanation:

the average would add the 2 together then divide by 2

26 - 13 = 13

13 / 2 = 6.5

Answer:

184

Step-by-step explanation:

Answer: 184

Step-by-step explanation:

A P E X

Answer:

SAS

Step-by-step explanation:

Because of the the lines on the two sides and the one angles

The A) probability density function is 1/3, B) the mean is 7/2 and C) the standard deviation is √3/2.

Given, x is a random variable best described by a uniform probability that ranges from 2 to 5.P(x) = 1 / (5-2) = 1/3(a) The probability density function f(x) = 1/3(b)

Mean of the probability distribution is given by the formula μ = (a+b)/2, where a is the lower limit of the uniform distribution and b is the upper limit of the uniform distribution.

The lower limit of the uniform distribution is 2 and the upper limit is 5.μ = (2+5)/2=7/2

(c) The standard deviation of a uniform distribution can be found using the following formula: σ=√[(b−a)^2/12]Here, a = 2 and b = 5.σ=√[(5−2)^2/12]= √(9/12)= √(3/4)= √3/2Hence, the answers are given below:

(a) Probability density function f(x) = 1/3(b) Mean of the probability distribution is given by the formula μ = (a+b)/2, where a is the lower limit of the uniform distribution and b is the upper limit of the uniform distribution.

The lower limit of the uniform distribution is 2 and the upper limit is 5.μ = (2+5)/2=7/2

(c) The standard deviation of a uniform distribution can be found using the following formula: σ=√[(b−a)^2/12]Here, a = 2 and b = 5.σ=√[(5−2)^2/12]= √(9/12)= √(3/4)= √3/2

Therefore, the probability density function is 1/3, the mean is 7/2 and the standard deviation is √3/2.

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V=113.14

Volume of a cylinder= πr²h

π=22/7

r=3

h=4

V=22/7×3×3×4

V=792÷7

V=113.14in³

Hope it helps you

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The distance between the two towns is approximately 8.5 km.

When the person looks east from the hot air balloon, the angle of depression of 12∘ indicates that the line of sight from the person's eye to the town forms a 12∘ angle below the horizontal line. Similarly, when the person looks west, the angle of depression of 83∘ indicates that the line of sight to the other town forms an 83∘ angle below the horizontal line.

To find the distance between the two towns, we can use the concept of trigonometry. Let's denote the distance between the hot air balloon and the first town as x, and the distance between the hot air balloon and the second town as y. We can form a right-angled triangle for each town, where the height of the triangle is the height of the hot air balloon (2 km), and the angles of depression are given.

For the first town, we can use the tangent function: tan(12∘) = 2/x. Rearranging the equation, we get x = 2/tan(12∘).

For the second town, we can use the tangent function again: tan(83∘) = 2/y. Rearranging the equation, we get y = 2/tan(83∘).

To find the distance between the two towns, we need to calculate the sum of x and y: x + y.

Using these calculations and plugging in the values, we get x ≈ 9.39 km and y ≈ 1.88 km. Therefore, the distance between the two towns is approximately 9.39 + 1.88 = 11.27 km. Rounding it off, the distance between the towns is approximately 8.5 km.

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The sample space for each scenario is a) {hearts, diamonds, clubs, spades}, b) {0, 1, 2, 3, 4, 5, 6, 7}, c) {short, tall, grande, venti, trenta}, and d) {2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12}.

Sample space refers to the set of all possible outcomes for a given experiment or event. In each of the cases below, the sample space is stated.

a) When selecting 1 card from a 52-card deck and observing the suit, the sample space consists of 4 outcomes: {hearts, diamonds, clubs, spades}. This is determined by the fact that there are 4 suits in a standard deck of cards.

b) For the number of days per week you go to the gym, the sample space ranges from 0 to 7 days: {0, 1, 2, 3, 4, 5, 6, 7}. This is determined by the fact that there are 7 days in a week and you can choose to go to the gym anywhere between 0 and 7 days.

c) When considering what size drink someone orders from Starbucks, the sample space consists of 5 outcomes: {short, tall, grande, venti, trenta}. These are the 5 standard sizes available at Starbucks.

d) For the sum of the roll of 2 dice, the sample space ranges from 2 to 12: {2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12}. This is determined by considering the minimum possible sum (rolling a 1 on both dice) and the maximum possible sum (rolling a 6 on both dice), and all the sums in between.

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Answer:

See the attached picture.

Step-by-step explanation:

Answer:

200

Step-by-step explanation:

good luck :)

the answer is 9.

ie.. the value of x =9

The population in this scenario is option D) The SAT scores from all recent applicants.

The admission committee at the university was interested in the average SAT score of the recent high school graduates who had applied to the university. Therefore, the population of interest is the SAT scores of all recent applicants. However, since the number of applicants was very large, the committee chose to sample 50 applicants randomly and evaluate the average of the 50 scores. This sample was used to estimate the population mean SAT score. It is important to note that the sample of 50 applicants is not the population in this scenario. Instead, it is a subset of the population that was selected to estimate the population mean. The statistician will use this sample mean to make inferences about the population mean SAT score.

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The best linear approximation to the function f(x) = e^x near x = 0 is L(x) = x + 1.

The given function is f(x) = e^x near x = 0.

To find the best linear approximation, L(x), we use the formula:

L(x) = f(a) + f'(a)(x-a),

where a is the point near which we are approximating.

Let a = 0, so that a is near the point x = 0.

f(a) = f(0) = e^0 = 1

f'(x) = d/dx (e^x) = e^x;

so f'(a) = f'(0) = e^0 = 1

Substituting these values into the formula: L(x) = 1 + 1(x-0) = x + 1

Therefore, the best linear approximation to f(x) = e^x near x = 0 is L(x) = x + 1.

For instance, linear approximation is used to approximate the change in a physical quantity due to a small change in another quantity that affects it.

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Answer: (-0.5, 3)

Step-by-step explanation:

     The solution of two graphed linear functions is the point of intersection, also known as the point the lines cross each other. See attached for a visual. These lines intersect at point (-0.5, 3) which means our answer is;

                (-0.5, 3)

Answer:

B.

Step-by-step explanation:

Step 1: Write equation

$115 already saved up

$20 per yard mowed (variable)

$450 ≥

450 ≥ 20x + 115

Step 2: Plug in 9 lawns mowed

x = 9

450 ≥ 20(9) + 115

450 ≥ 180 + 115

450 ≥ 295

Since after mowing 9 lawns and gain only $295 total, we know that James is incorrect.

The interval μ - σ to Q3 corresponds to the smallest area under a normal curve because it includes only a small portion of the data set.

The answer to this question is option D, which is μ - σ to Q3. To understand why this is the correct answer, we need to first understand what each of the intervals represents. Q1 and Q3 are the first and third quartiles of the data set, respectively. μ is the mean of the data set, and σ is the standard deviation.

When we look at the interval μ - σ to Q3, we can see that it includes the upper quartile and some of the data points to the left of it. This means that the area under the normal curve within this interval will be relatively small compared to the other options.

On the other hand, option B includes the mean and a larger range of data points, which would result in a larger area under the curve. Option C includes Q1 and a larger range of data points, which would also result in a larger area. Option A includes both Q1 and Q3, which cover the majority of the data set and would therefore have the largest area under the curve.

In summary, the interval μ - σ to Q3 corresponds to the smallest area under a normal curve because it includes only a small portion of the data set.
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By using the concept of probability, it can be calculated that

Probability that a flood of the same size will occur in the following year = \(\frac{1}{50}\)

What is probability?

Probability gives us the information about how likely an event is going to occur

Probability is calculated by Number of favourable outcomes divided by the total number of outcomes.

Probality of any event is greater than or equal to zero and less than or equal to 1.

Probability of sure event is 1 and probability of unsure event is 0.

50-year flood occurs on the mississippi river in a given year

Probability that a flood of the same size will occur in the following year =  \(\frac{1}{50}\)

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Answer:

Step-by-step explanation: it’s wrong for me

Answer:

Each field has cornstalks = 660

Step-by-step explanation:

P.S - The exact question is -

As given,

There are 2 types of corn - Type A and Type B

Each field has 60 rows

In each row -

Type A corn grow = 8

Type B corn grow = 3

⇒Total corn grow in each row = 8 + 3 = 11

Now,

1 row = 11 cornstalks

⇒60 rows = 60×11 cornstalks = 660 cornstalks

∴ we get

Each field has cornstalks = 660

The concept that a message gives different meanings to different objects is called option (b) polymorphism.

Polymorphism is a fundamental concept in object-oriented programming (OOP) that allows different objects to respond to the same message or method invocation in different ways. In other words, it allows objects of different classes to be treated as if they were of the same class, as long as they implement the same method or message.

This can make code more flexible, reusable, and easier to maintain. Polymorphism is achieved through inheritance, interfaces, or overloading methods. For example, a "draw" method could be implemented differently for different shapes, such as circles, rectangles, or triangles.

Therefore, the correct option is (b) polymorphism

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Answer:%33

Step-by-step explanation:

Answer:

1st one)

y = 4

2nd one)

y = -12.5

Step-by-step explanation:

5y - 20 = 0

add 20 on both sides:

⇒ 5y - 20 + 20 = 0 + 20

⇒ 5y = 20

divide 5 on both sides

⇒ \(\frac{5y}{y} = \frac{20}{5}\)

⇒ y = 4

2y + 25 = 0

subtract 25 on both sides

⇒ 2y + 25 - 25 = 0 - 25

⇒ 2y = -25

divide 2 on both sides:

⇒ \(\frac{2y}{2} = \frac{-25}{2}\)

⇒ y = -12.5

Answer:

$8.96

Step-by-step explanation:

total amount spent minus adoption fee is $35.84

divide this by the number of bags which is 4, your answer is $8.96