Evaluate 6k − j2 + 2k ÷ l when j = 5, k = 12, and l = 3.

The conversion of 300 lbs to kg is 136.054 kg.

Measurement is the method of comparing the properties of a quantity or object using a standard quantity.

Measurement is essential to determine the quantity of any object.

Given,

Total units = 300 lbs

We have the conversion factor that,

1 kilogram = 2.205 pounds

Or,

2.205 pounds = 1 kilogram

1 pounds = 1 / 2.205 kg

lbs is same as pounds.

300 lbs = 300 × (1 / 2.205) kg

             = 136.054 kg

Hence the measurement of conversion of 300 lbs is 136.054 kg.

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The value of length of 65-inch after converting in decimals is 165.1 centimeters.

The conversion is important because some countries, such as those in Europe and Asia, use the metric system, which is based on centimeters, while others, such as the United States, use the imperial system, which is based on inches.

Knowing the conversion rate between these two systems can be useful in many situations, especially when it comes to purchasing electronics or other goods that are measured in different units of measurement.

Here,  to convert inches to centimeters the formula used is:

1inch is equal to 2.54 cm.

In this case, 65 x 2.54 equals 165.1 centimeters.

The length of 65-inch  is equal to approximately 165.1 centimeters.

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The correct conclusions about the triangle reflections are -

        {y} - axis.

        {x} - axis.

In statistics, a quartile is a type of quantile which divides the number of data points into four parts, or quarters, of more-or-less equal size. The data must be ordered from smallest to largest to compute quartiles.

Given is the boxplot as shown in the image.

From the box - plot, we can write the results as -

Therefore, We c

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The customer pays $0.72 for a filled balloon.

Let's denote the cost of the balloon and the helium as x.

According to the problem statement, we know that:

x + 80% of x = $0.50

We can simplify this equation by multiplying both sides by 1.8, which is the same as multiplying the right-hand side by 180%:

1.8x + 1.44x = $0.90

2.24x = $0.90

Dividing both sides by 2.24, we get:

x = $0.40

So the cost of the balloon and helium is $0.40.

The price that the customer pays for the balloon is the cost plus the markup, which is 80% of the cost:

Price = Cost + Markup

Price = $0.40 + 80% of $0.40

Price = $0.40 + $0.32

Price = $0.72

Therefore, the customer pays $0.72 for a filled balloon.

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Answer:

$0.90

Step-by-step explanation:

100%= $0.50

100%+80%= 180%

1%= $0.50/100

   = $0.005

180%= $0.005*180

        = $0.90

Option A. AA Similarity Postulate. The AA Similarity Postulate is a geometric principle that states that if two angles of one triangle are congruent to two angles of another triangle, then the triangles are similar.

This means that their corresponding sides are in proportion, and the triangles have the same shape, but not necessarily the same size. This postulate is one of the ways to prove the similarity of two triangles. In the case of the given question, if we know that two angles of one triangle are congruent to the two angles of another triangle, then we can use the AA Similarity Postulate to prove that the triangles are similar. This principle is widely used in geometry and helps to establish relationships between different shapes and figures.

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After converting 1.77 meters to feet its value is equal to 5.8071 feet ( approximately ) .

Conversion of meters to feet we get,

1 meter is equal to 3.28084 feet

Substitute the value given meters to convert into feet.

Now convert 1.77 meters to feet

⇒ 1.77 meters =  ( 1.77 ) × ( 3.28084 ) feet

⇒ 1.77 meters =  5.8070868 feet

⇒ 1.77 meters =  5.8071 feet ( approximately )

Therefore, the conversion unit of 1.77 meters to feet is given by 5.8071 feet ( approximately ) .

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Answer:

x = 5.88

Step-by-step explanation:

by simplifying both sides of the equation, then isolating the variable.

Answer:

1) Put equation or function in y= form.

2) Multiply out (expand) any factored polynomials in the numerator or denominator.

3) Remove everything except the terms with the biggest exponents of x found in the numerator and denominator. These are the "dominant" terms.

The binomial probability formula is used to calculate the probability of a specific number of successes in a fixed number of independent trials, where each trial can only result in success or failure. It is used to model situations where there are only two possible outcomes for each trial, and where the trials are independent and identically distributed.

The formula for binomial probability is:

[tex]P(x) = (n choose x) * p^x * (1 - p)^{n-x}\\[/tex]

where P(x) is the probability of x successes in n trials, p is the probability of success on each trial, (n choose x) is the binomial coefficient which gives the number of ways to choose x successes from n trials, and (1 - p) is the probability of failure on each trial.

The binomial probability formula can be used in a variety of applications, such as:

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5 kilograms (kg) is equivalent to 11.02 pounds (lbs). To convert kilograms to pounds, you need to use the conversion factor of 2.20462 pounds per kilogram.

This means that you can multiply the number of kilograms by this conversion factor to get the equivalent weight in pounds. The conversion from kilograms to pounds is commonly used in daily life, especially for weighing objects such as produce, parcels, and personal belongings.

Understanding how to convert between different units of weight is also important for international travel and trade, where different countries may use different units of measurement.

It's important to note that while kilograms and pounds are both units of weight, they are not interchangeable with other units of measurement such as volume or length. Additionally, some countries use different units of weight such as grams or ounces, so it's important to pay attention to the units used in a given context.

In summary, 5 kilograms is equal to 11.02 pounds, and understanding how to convert between different units of weight is important in daily life, international trade, and other applications that involve measuring weight.

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Since there appear to be no outlier in the data set, and since the mean is close to the median, the range can be considered best to describe the variability in the quiz scores

The dataset is given as

87, 88, 89, 90, 90, 90, 92, 92, 93, 94, 95, 96, 96, 97, 98, 98, 98, 99, 99, 99, 100, 100, 100, 100

There are no outliers in the dataset

This means that the measure of variability to use is the range

Also, it means that the median and the mean are close to one another

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To convert meter into miles we simply have to divide meter by 1609.34 so we have 1000 m as 6.21 miles.

Unit conversion is the process of converting the measurement of a given amount between various units, often by multiplicative conversion factors that alter the value of the measured quantity without altering its effects.

The SI base unit of length is the metre (or metre; US spelling), which is denoted by the letter m.

first described in 1793 as a ten millionth of the distance between the equator and the North Pole, but was later redefined in 1799 to refer to a prototype metre bar (this bar was changed again in 1889).

The imperial unit system uses the symbol mi to designate the mile as a unit of length.

Although it was initially an English unit, it was adopted by numerous nations, each of which had a somewhat different definition. However, the English mile is 63,360 inches, 5280 feet, or 1760 yards.

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The length of side {x} in simplest radical form with a rational denominator is 2√6.

According to the Pythagoras theorem, we can write -

        (hypotenuse)² = (base)² + (perpendicular)²

        (h)² = (b)² + (p)²

Given is the right - angled triangle.

We can write using the Pythagoras theorem as -

x² = √12² + √12²

x² = 12 + 12

x² = 24

x = √2 x 2 x 2 x 3

x = 2√6

Therefore, the length of side {x} in simplest radical form with a rational denominator is 2√6.

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Answer: 2 15/22

Step-by-step explanation: To solve this, let's first turn the mixed numbers into improper fractions. When we do so, we get 13/2 and 42/11. Now, we make a common denominator. We can turn both denominators into 22. When we do so, we get 143/22 and 84/22. Now, we subtract. When we subtract the two fractions, we get 2 15/22.

Online calculators can solve for sides, angles, area, and perimeter of special right triangles, such as 45-45-90 and 30-60-90.

There are numerous web-based number crunchers that can assist you with addressing exceptional right triangles, like the 45-45-90 and 30-60-90 triangles. A few instances of extraordinary right triangle mini-computers are:

Calculator.net: This site has a unique right triangle number cruncher that can settle for the sides, points, and area of 45-45-90 and 30-60-90 triangles.

Omni Number cruncher: This site has a unique right triangle mini-computer that can settle for the sides, points, region, and border of 45-45-90 and 30-60-90 triangles.

Mathsisfun.com: This site has an intelligent apparatus that can help you comprehend and address exceptional right triangles, including 45-45-90 and 30-60-90 triangles.

These adding machines can save you time and assist you with rapidly tackling extraordinary right triangles, particularly assuming that you are chipping away at calculation issues or developments.

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The complete question is:

Explain about special right triangles calculator.

Answer:

7:11

Step-by-step explanation:

The ratio is 56:88

We simplify by 8 and get the ratio

7:11

We can't simplify anymore, so the answer is 7:11

Therefore , the solution of the given problem of area comes out to be

the actual area of the basketball court is 4,700 square feet.

Its surface area is a reliable indicator of its overall size. When figuring out the right triangle's squared, the environment is taken into account. The surface area of everything determines its overall size. The total of the volumes from each of the twelve vertical sides makes up the water volume inside a cuboid. Utilize the following formula to get the box's dimensions: The region is represented by 2lh, 2lw, & 2hW. (SA). The area is represented by the flexible shape's entire surface area.

Here,

First, let's find the length and width of the basketball court in feet using the scale:

Length = 1 inch on the drawing represents 8 feet in reality

Length of the drawing = 11.75 inches

Actual length = 8 feet/inch × 11.75 inches = 94 feet

Width = 1 inch on the drawing represents 8 feet in reality

Width of the drawing = 6.25 inches

Actual width = 8 feet/inch × 6.25 inches = 50 feet

Now, we can find the actual area of the basketball court:

Actual area = Actual length × Actual width

Actual area = 94 feet × 50 feet

Actual area = 4,700 square feet

Therefore, the actual area of the basketball court is 4,700 square feet.

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Option C. The transformation that does not preserve congruence is a dilation by a scale factor of 5.

Congruence is the property of having the same size and shape. In geometry, transformations are operations that change the position, size, or orientation of a figure. Some transformations, such as reflections, translations, and rotations, preserve congruence, meaning that the resulting figure is congruent to the original figure. Other transformations, such as dilations, do not preserve congruence, meaning that the resulting figure is not congruent to the original figure.

A dilation is a transformation that changes the size of a figure by stretching or compressing it. A dilation by a scale factor of 5 means that every point of the figure is multiplied by 5 with respect to a fixed point called the center of dilation. The resulting figure is similar to the original figure, but not necessarily congruent.

On the other hand, reflections, translations, and rotations preserve congruence. A reflection across the x-axis reflects the figure across the x-axis while preserving its shape and size. A translation 4 units up moves the figure up without changing its shape or size. A rotation 90° counter-clockwise rotates the figure 90 degrees counter-clockwise while preserving its shape and size.

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A transformation is applied to create a new figure. Which transformation does not preserve congruence?

A. A reflection across the x-axis

B. A translation 4 units up

C. A dilation by a scale factor of 5

D. A rotation 90° counter clockwise

As they want to compare who takes the longest time to ride their bike to school, such data will be considered as numerical because it involves quantitative measurements (time taken to ride a bike) and can be represented by numbers.

Numerical data, also known as quantitative data, is information that is typically presented in the form of numbers and does not include any language or descriptive information. It's always measurable and can be added up.

We can perform mathematical and arithmetic operations on this type of data, and it can be expressed in decimal or fraction form. It can be useful in presenting information such as height, weight, distance and age, for example.

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Answer:I think its A.

Step-by-step explanation:

I'm too lazy too explain you got your answer please be happy

Answer:

68 kilometers per hour

Step-by-step explanation:

Rosetta's average speed is 85 kilometers per hour. This can be determined by dividing the total distance traveled (85 kilometers) by the total time taken (1 hour and 15 minutes, or 1.25 hours). Therefore, 85 kilometers divided by 1.25 hours is equal to 68 kilometers per hour.

Answer: 68 kilometers per hour (look at the image for the explanation)

Step-by-step explanation:

1. The division expression represents the average number of people per minute is (1.04 x 10⁶) / 25

2. The divisor in scientific notation is (2.5 x 10¹)

3. The rewritten expression is (1.04 x 10⁶) / (2.5 x 10¹)

4. The simplified expression is (1.04 x 10⁶) / (2.5 x 10¹)

5. The average number of people who entered Estadio Azteca per minute is 4.16 x 10⁴.

1. The division expression that represents the average number of people per minute is the total number of spectators who filled Estadio Azteca (1.04 x 10⁶)  divided by the amount of time it took them to enter (25 minutes). This expression can be written as

=> (1.04 x 10⁶) / 25

2. To express the divisor (25) in scientific notation, we would need to move the decimal point three places to the left, giving us

=> (2.5 x 10¹)

3. Rewriting the division expression from Exercise 1 with the divisor expressed in scientific notation, we get

=> (1.04 x 10⁶) / (2.5 x 10¹)

4. We can use the Associative Property to regroup the expression as

=> (1.04 x 10⁶) / (2.5 x 10¹)

=>  4.16 x 10⁴.

5. In scientific notation, the average number of people who entered Estadio Azteca per minute was 4.16 x 10⁴.

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Answer:

Arranging the temperature data in descending order, we get:

45, 44, 44, 43, 42, 42, 41, 40, 40, 40, 39, 38, 38, 37, 36

The range of a set of data is the difference between the highest and lowest values.

Here, the highest temperature is 45°C and the lowest temperature is 36°C. Therefore, the range is:

Range = highest value - lowest value = 45°C - 36°C = 9°C

So the range of the temperature data is 9°C.

The Z score for a 99% confidence interval is approximately 2.576.

A confidence interval is a range of values that, with a given degree of certainty, is likely to contain the real value of a population parameter.

For example, a 99% confidence interval means that if we were to take repeated samples of the same size from the same population

To figure the interval estimate for each sample,

Approximately 99% of these intervals would contain the true population parameter.

To find the Z score for a 99% confidence interval,

We can make use of a calculator or a conventional normal distribution table.

The Z score for a 99% confidence interval corresponds to the point on the standard normal distribution

Where the area to the right of the Z score is 0.01

(As the confidence interval is split evenly into two tails, each with a probability of 0.005).

Utilizing a standard normal distribution table or calculator,

We find that the Z score for a 99% confidence interval is approximately 2.576.

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Answer:

Step-by-step explanation:

0.14285714285714286

An inverse function is defined as a function, which can reverse into another function.

I'm not sure if this is right I can't exactly remember

The manager's claim that the new stadium can seat exactly 45% more people than previously is not correct. Instead, the new stadium can accommodate 145% of the previous number of seats, which is an increase of 45% over the original capacity

If a football club increases the number of seats in its stadium by 45%, it means that the new stadium can accommodate 145% of the previous number of seats.

Suppose the previous capacity of the stadium was x seats. Then, the new capacity of the stadium can be calculated by multiplying the previous capacity by 1.45 (which represents the 45% increase in capacity):

New capacity = x × 1.45 = 1.45x

However, the manager of the club claims that the new capacity of the stadium is exactly 45% more than the previous capacity, which means that the new capacity should be:

New capacity = x + (0.45x) = 1.45x

This equation suggests that the increase in capacity is not 45%, but rather an increase of the original capacity by 45%. This is not the same as the increase of 45% over the original capacity.

Therefore, the manager's claim that the new stadium can seat exactly 45% more people than previously is not correct. Instead, the new stadium can accommodate 145% of the previous number of seats, which is an increase of 45% over the original capacity.

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The scale Giselle used to create the scale drawing of the school cafeteria is 1 inch : 8 feet.

Length is a measure of dis dancer size it can be measured in a variety of waste including inches sentiment of metres feet miles and more. Playing these an important concept mathematics science engineering and many others build it is used to calculate the dimensions of this area and more it is also used to measure the time it takes to travel A certain distance link this and important concept that is used to measure and compare objects.

To answer this question, we can use the ratio of the length of the cafeteria in the scale drawing compared to the actual length of the cafeteria. The ratio is 11 inches : 88 feet. We can simplify this ratio to 1 inch : 8 feet. Therefore, the scale Giselle used to create the scale drawing of the school cafeteria is 1 inch : 8 feet.

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