Don placed a ladder against the side of his house as shown in the diagram below. Determine and state the distance the foot of the ladder is from the wall, to the nearest foot, and the angle the ladder makes with the house, to the nearest degree.

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:

w = -8

Step-by-step explanation:

We can solve for w by first simplifying on both sides:

\(12-6(w-3)=3(-5-3w)+21\\12-6w+18=-15-9w+21\\-6w+30=-9w+6\)

Now, we can solve by isolating w:

\(-6w+30=-9w+6\\-6w+24=-9w\\24=-3w\\-8=w\)

It can be helpful to check that our solution is correct by plugging it back into the equation:

\(12-6(-8-3)=3(-5-3(-8))+21\\12-6(-11)=3(-5+24)+21\\12+66=3(19)+21\\78=57+21\\78=78\)

Answer:

Approximately 7.8 units

Step-by-step explanation:

To find the distance between any two points, we can use the distance formula:

\(d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}\)

From the graph, we can see that A is (0,0). Let's let this be x₁ and y₁.

B is (-5,6). Let's let this be x₂ and y₂. So, substitute:

\(d=\sqrt{(-5-0)^2+(6-0)^2}\)

Simplify:

\(d=\sqrt{(-5)^2+(6)^2}\)

Square:

\(d=\sqrt{25+36}\)

Add:

\(d=\sqrt{61}\)

Take the square root. Use a calculator:

\(d\approx7.8\)

So, the distance between them is about 7.8 units.

And we're done!

Answer:

- - - - - - - - - - - - > 1+0.06m (I think)

9514 1404 393

Answer:

  {2, 2.001, 2.01, 2.1, 3, 5, 7, 10}

Step-by-step explanation:

The symbol ≥ means "greater than or equal to", so any values 2 or greater will make the inequality true. From your list, those are ...

  2 2.001 2.01 2.1 3 5 7 10

Answer:

  A)  2C

Step-by-step explanation:

The relevant rule of logarithms is ...

  log(x²) = 2·log(x)

__

We know that 64 = 8². So, ...

  log(64) = log(8²) = 2·log(8)

We are given that log(8) = C, so 2·log(8) = 2C

__

Here, all logarithms are to the base 9. That does not change the relations shown.

Answer:

Step-by-step explanation:

The given system of equations is:

28d + 9.5n = 552

d + n = 25

We can solve for one of the variables in the first equation and substitute that value into the second equation. Let's solve for d:

28d + 9.5n = 552

d = (552 - 9.5n) / 28

Now we can substitute this expression for d into the second equation:

d + n = 25

(552 - 9.5n) / 28 + n = 25

552 - 9.5n + 28n = 700

18.5n = 700 - 552

18.5n = 148

n = 8

So, we have found that n = 8, which represents the number of nighttime hours. To find the number of daytime hours, we can use the value of n and the first equation:

28d + 9.5n = 552

28d + 9.5 * 8 = 552

28d + 76 = 552

28d = 476

d = 17

Therefore, Esther was charged for 17 daytime hours and 8 nighttime hours, so the answer is (c) 17 daytime hours and 8 nighttime hours.

Answer:

II and III only

Step-by-step explanation:

The number of ways in which the lottery ticket can be chosen are,

999.

Given, a lottery number is of 4 digits

we have to find the number of ways a lottery number can be chosen.

as, we have to choose 4 digits then, each place has 10 choices

so, the number of ways in which the lottery ticket can be chosen are,

10×10×10×10

10000

now, 0000 can not be any lottery number so,

the number of ways in which the lottery ticket can be chosen are,  

1000 - 1 = 999.

Hence, the number of ways in which the lottery ticket can be chosen are,

999.

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The distance covered by the scooter during the 6-hour time period is 540 km.

A scooter travels along a straight line at a constant speed of 90 km/h for a time period of 6 hours. We need to calculate the distance covered by the scooter during this time.

To calculate the distance covered, we can use the formula:

Distance = Speed × Time

In this case, the speed is provided as 90 km/h, and the time is provided as 6 hours.

Plugging in these values into the formula, we get:

Distance = 90 km/h × 6 hours

Multiplying the speed and time, we have:

Distance = 540 km

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Answer:

729 : 9 = 80 +1 is correct

The first four nonzero terms of the Taylor series for f(x) = 5xex, centered at a = 0, are 5x, \(5x^2\), \(5x^3^/^2, 5x^4^/^6.\)

The Taylor series expansion allows us to express a function as an infinite sum of terms, providing an approximation of the function near a specific point. In this case, we are given the function f(x) = 5xex and the center a = 0.

To find the first four nonzero terms of the Taylor series, we need to compute the derivatives of f(x) at x = 0.

Starting with the first derivative, we differentiate f(x) with respect to x, which gives us f'(x) = 5(1+x)ex.

Next, we evaluate the second derivative by differentiating f'(x) with respect to x. This yields f''(x) = 5(2+x)ex.

Continuing this process, we find the third derivative f'''(x) = 5(3+x)ex and the fourth derivative f''''(x) = 5(4+x)ex.

The terms of the Taylor series are obtained by evaluating each derivative at x = 0 and dividing it by the corresponding factorial term. The first four nonzero terms of the series for f(x) centered at a = 0 are 5x, \(5x^2\), \(5x^3^/^2\), and \(5x^4^/^6\).

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Answer:

7%

Step-by-step explanation:

Out of the 75 people who ordered a hot drink, only 5 ordered a small.

5/75 = 0.066 or 7%

Answer:

40 did it on edge

Step-by-step explanation:

The unit rate of calories per ounce will be 40 calories/ ounce

A proportion is a fraction of a total amount, and the measures are related using a rule of three.

The relations between variables, either direct or inverse proportional, can be built to find the desired measures in the problem.

We are given that 4-ounce container of Greek yogurt contains 160 calories and it is to calculate for one ounce calories contain in Greek yogurt :

4-ounce = 160

1- ounce = 160/4

=40

Therefore, the unit rate of calories per ounce = 40 calories/ ounce.

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\({\Large \begin{array}{llll} y=ab^x \end{array}} \\\\[-0.35em] ~\dotfill\\\\ f(-4)=1\hspace{5em}1=ab^{-4}\implies 1=\cfrac{a}{b^4}\implies b^4=a \\\\[-0.35em] ~\dotfill\\\\ f(4)=69\hspace{5em}69=ab^4\implies \stackrel{\textit{substituting from the 1st equation}}{69=(b^4)b^4\implies 69=b^8} \\\\\\ \sqrt[8]{69}=b\implies (69)^{\frac{1}{8}}=b \\\\[-0.35em] ~\dotfill\)

\(y=\sqrt{69}\left( (69)^{\frac{1}{8}} \right)^x\implies \boxed{y=\sqrt{69}(69)^{\frac{x}{8}}} \\\\\\ \textit{when x=6.5, what is "y"?}\qquad y=\sqrt{69}(69)^{\frac{6.5}{8}}\implies y\approx 1522.73\)

The best way to remedy Ask customers throughout the day on both weekdays and weekends.

The cause of the bias in the survey is likely sampling bias. This means that the sample of 110 customers may not be representative of the entire population of food court shoppers. The bias can arise if the sample is not selected randomly or if certain groups of shoppers are overrepresented or underrepresented in the sample.

To remedy the sampling bias, the best way would be to  Ask customers throughout the day on both weekdays and weekends.

By surveying customers at different times, including both weekdays and weekends, a more diverse and representative sample can be obtained. This will help to capture the preferences of a wider range of food court shoppers and reduce the bias introduced by sampling only weekday mornings.

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The manager of a shopping mall wishes to expand the number of shops available in the food court. He has a market researcher survey the first 110 customers who come into the food court during weekday mamings in distin what types of food the shoppers would like to see added to the food court,

Which of the following is the best way to remedy this problem?

OA cisne the sample size so that more people respond to the question OB Ask customers throughout the day on both weekdays and hands

OC Reward the question so that it is balanced

Answer:

11

Step-by-step explanation:

You would add 5 + 4.2 + 5 - 2.2 - 1 in a calculator and it would come out to be 11.

Answer:

The values of x is -7 and 7.

Step-by-step explanation:

First, you have to make the equation equals to 0 :

x² = 49

x² - 49 = 0

Given that x² and 49 are perfect square of x and 7 so you have to apply (a + b)(a - b) = a² - b² :

x² - 49 = 0

(x + 7)(x - 7) = 0

Lastly, you have to solve it :

(x + 7)(x - 7) = 0

x + 7 = 0

x = -7

x - 7 = 0

x = 7

If 7 is less than a number, x, it means that x is greater than 7. The symbol for representing greater than is >

Thus, the inequality that matches the given situation is

x >7

Option c is correct

The part of the coordinate plane that is equidistant from two points is the perpendicular bisector of the line segment connecting those two points.

The perpendicular bisector is a line or line segment that intersects the line segment connecting the two points at a right angle and divides it into two equal halves. Any point on the perpendicular bisector is equidistant from the two given points.

To find the perpendicular bisector, we can follow these steps:

1. Calculate the midpoint of the line segment connecting the two points. The midpoint is the average of the x-coordinates and the average of the y-coordinates of the two points.

2. Determine the slope of the line segment connecting the two points. The slope is calculated using the formula: slope = (change in y)/(change in x).

3. Find the negative reciprocal of the slope. This will give us the slope of the perpendicular bisector.

4. Use the midpoint and the slope of the perpendicular bisector to determine the equation of the line using the point-slope form: y - y1 = m(x - x1), where (x1, y1) is the midpoint and m is the slope.

5. The resulting equation represents the line that is equidistant from the two given points and divides the coordinate plane into two equal halves.

Any point on this perpendicular bisector will be equidistant from the two given points.

The part of the coordinate plane that is equidistant from two points is the perpendicular bisector of the line segment connecting those two points.

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The population of Pennsylvania is: 1304503 people

Population density is calculated by taking the total area of a region in question and dividing it by the total number of people that live in that area. The result will give the average number of inhabitants per square kilometre, mile, acre, meter, etc.

The parameters given are:

Population of colorado = 5,770,000 people

Area of colorado = 280 * 380

= 106,400 mi²

Population density here = 5,770,000/106,400

54.23 people per mi²

Area of Pennsylvania = 283 * 170

= 48110 mi²

Thus:

Population of Pennsylvania/48110 mi² = 5 * 54.23 people per mi²

Population of Pennsylvania = 48110 * mi² * 5 * 54.23 people per mi²

= 1304503 people

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The probability of both rice and carrots being served with dinner is 23.4%.

The probability of Alvin's mother serving rice with dinner can be expressed using the formula P(Rice) = 0.78. This means that the probability of Alvin's mother serving rice with dinner is 78%. The probability of Alvin's mother serving carrots with dinner can be expressed using the formula P(Carrots) = 0.30. This means that the probability of Alvin's mother serving carrots with dinner is 30%. To calculate the combined probability of both rice and carrots being served with dinner, we can use the formula P(Rice and Carrots) = P(Rice) * P(Carrots) = 0.78 * 0.30 = 0.2340. This means that the probability of both rice and carrots being served with dinner is 23.4%.

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Answer:

Given below

Step-by-step explanation:

First we state the objective of our research, whether what we have to find out.

Then we choose a random sample.

Then we collect the data about it, sort it and find out the statistics like mean etc.

The fourth step is to infer population parameters based on sample statistics.

The last step is to draw conclusions whether our objective is proved or not or what we can deduce from the results.

In this experiment the steps are as follows.

1) it is required to study how many hours  households have internet usage.

2) The random sample in this experiment is 50000 households.

3) Finding out how many hours a day the household spends streaming video from the internet by asking from different households and then finding the mean etc.

4) The population mean prediction in this experiment depends on the sample mean.

5)The conclusion is drawn that how many hours a day the household spends streaming video from the internet.

68 millimeters is approximately equal to 2.68 inches.

It is important to note that when converting between metric and imperial units of measurement, it is often necessary to round to the nearest decimal place. This is because the two systems use different scales of measurement, and there may not be an exact conversion between them.

When working with precise measurements, it is important to use the appropriate number of significant figures to maintain accuracy. For example, if a measurement is given to the nearest millimeter, the converted measurement in inches should also be rounded to the nearest hundredth of an inch.

Finally, it is worth noting that there are many online tools and conversion charts available to help with unit conversions. These can be especially helpful when working with unfamiliar units of measurement or when precision is important.

To convert 68 millimeters to inches, you need to divide 68 by 25.4, because there are 25.4 millimeters in one inch.

68 mm ÷ 25.4 mm/inch = 2.68 inches

Therefore, 68 millimeters is approximately equal to 2.68 inches.

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Answer:

0.60

Step-by-step explanation:

becouse of two probability within added gives the above answer

Answer:

4.375

Step-by-step explanation:

s=1/t

s=k/t

0.5=k/7

k=7x0.5=3.5

s=3.5/0.8

s=4.375

Answer:

A!

Step-by-step explanation:

open circle = the number it's on isn't an answer

the arrow is pointing left, the negative side so it's less than :)

j=7 if you plot both out on a graph you can verify the answer