What is the distance between (2, -1.2) and (2, 5.4)?​

The length of midsegment of the trapizoid with bases 35 and 71 is 53.

A trapezoid, commonly referred to as a trapezium, is a quadrilateral or a polygon with four sides. It has a set of parallel opposing sides and a set of non-parallel sides. The bases and legs of the trapezoid are known as the parallel and non-parallel sides, respectively.

A trapezoid is a closed, four-sided, two-dimensional shape that has both a perimeter and an area. The bases of the trapezoid are the two sides of the form that are parallel to one another. The legs or lateral sides of a trapezoid are the non-parallel sides. The altitude is the smallest distance between two parallel sides. Calculating a trapezoid's area is easy since its opposite sides are parallel to one another.

A trapezoid differs from other quadrilaterals in that it has the following characteristics:

The length of midsegment is sum of bases divided by 2

therefore midsegment = (35 + 71)/2 = 53.

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Answer: 1) Error response times

2) Memory Scanning, visual search

3) Stimulus identification

Step-by-step explanation:1) response times reflext the time it takes to interpret a stimulus,get info from memory, initiate a muscle response

2) The hippocampus retrieves info from the working memory and begins to change the brains physical neural wiring

3) A decisive role in our perception and cognition

In general, there are two areas of psychology where mathematics is heavily utilized: mathematical modeling of psychological theories and experimental phenomena, which gives rise to mathematical psychology, and statistical approaches to quantitative measurement practices in psychology, which give rise to psychometrics.

Fernando will have traveled 63 miles after 3.5 hours.

To find the distance Fernando will have traveled after 3.5 hours, we can determine his average speed and then calculate the total distance covered.

We are given that after 0.5 hours, Fernando had ridden 9 miles, and after 1 hour, he had ridden 18 miles. By comparing these two data points, we can see that Fernando is traveling at a constant speed of 18 miles per hour.

To calculate the distance traveled after 3.5 hours, we can multiply the speed (18 miles per hour) by the time (3.5 hours):Distance = Speed × Time = 18 miles/hour × 3.5 hours = 63 miles.

Therefore, Fernando will have traveled 63 miles after 3.5 hours.

It is important to note that this calculation assumes a constant speed throughout the entire race. If the speed varied during the race, the result may be different. However, based on the given information of constant speed, we can conclude that Fernando will have traveled 63 miles after 3.5 hours.

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Answer: D) -20.99

Step-by-step explanation:

-4.97-2.36+-5.19-8.47 = -20.99

Personal car would be the best option to manage both tasks efficiently. While the train is a reliable mode of transportation, it may have fixed schedules that might not align perfectly with Patrick's needs.

On the other hand, using his personal car provides more flexibility and allows him to tailor the departure time according to his daughter's coding class schedule.

If Patrick decides to take the train, he would need to check the train schedule to see if there are convenient departure and arrival times for both the soccer game and the coding class. This option would require planning and coordination to ensure he arrives at the game on time and can pick up his daughter afterward.

Using his personal car gives Patrick the freedom to leave at a time that accommodates both the soccer game and the coding class. He can drop off his daughter at her coding class, attend the soccer game, and then pick her up afterward without being restricted by train schedules.

Considering the circumstances, Patrick might find it more convenient to use his personal car to manage both tasks effectively and ensure he can attend his son's soccer game while also ensuring his daughter arrives at her coding class on time.

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A boxplot is a graphical representation of data distribution, and it can be used to compare the salary distributions of construction workers and teachers. To determine the percentage of teachers that a person making the minimum salary for a construction worker is making more than, we must first understand the data for both groups.

The minimum salary for a construction worker is a specific value, representing the lowest amount paid to workers in that profession. In contrast, teachers' salaries can vary based on various factors such as experience, education level, and location. Comparing these two distributions can provide insights into the relative earnings of these professions.

Using a boxplot, the minimum, first quartile, median, third quartile, and maximum values can be visually represented for each group. The comparison between the minimum salary for a construction worker and the distribution of teachers' salaries can be observed by looking at the overlap of these two boxplots.

If the minimum salary for a construction worker falls within the first quartile of teachers' salaries, it would mean that a person earning that salary is making more than 25% of teachers. If it falls within the second quartile (between the first and median), the person is making more than 50% of teachers. Similarly, if it falls within the third quartile, they would be making more than 75% of teachers.

To provide a precise percentage, the data for both groups needs to be analyzed and compared. However, without specific numbers, a definitive answer cannot be given. In summary, a boxplot can be used to visualize and compare the salary distributions of construction workers and teachers to determine what percentage of teachers a person making the minimum salary for a construction worker is earning more than.

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Answer:

5.48

Step-by-step explanation:

add 2.98 1.75 and 0m75

Answer:

It's 6.23

Step-by-step explanation:

just add them and add the decimals

Answer:

100°

Step-by-step explanation:

40+100=140.

140+120=260.

There is 360° in a quadrilateral, so

360-260=100.

so, the last angle is 100°.

Answer:

slope is 1

Step-by-step explanation:

Answer:

36

Step-by-step explanation:

length=6

width=3

height=2

6 x 3 x 2 = 36

Answer: 4, 2

Step-by-step explanation:

This is a sine/cosine wave.

we can see one full revolution from 0 to 4; this means that the period is 4.

the amplitude refers to how "high" or "low" the graph goes from its center.

we can see it hits a maximum of 2, (and a minimum of -2). Since the amplitude is the absolute value of this high/low value, it will always be positive. so the amplitude is 2

In conclusion:

Period = 4

Amplitude = 2

Answer:

2x - 2

Step-by-step explanation:

Here is the completer question

lim as Δx → 0 [(x + Δx)²- 2(x + Δx) + 3 - (x² - 2x + 3)]/Δx

Solution

lim as Δx → 0 [(x + Δx)²- 2(x + Δx) + 3 - (x² - 2x + 3)]/Δx

Expanding the brackets, we have

lim as Δx → 0 [(x² + 2xΔx + (Δx)²- 2x - 2Δx + 3 - x² + 2x - 3)]/Δx

Collecting like terms. we have

lim as Δx → 0 [(x² - x² + 2xΔx - 2Δx + (Δx)²- 2x  + 2x + 3 - 3)]/Δx

Simplifying, we have

lim as Δx → 0 [(0 + 2xΔx - 2Δx + (Δx)² + 0 + 0)]/Δx

lim as Δx → 0 [2xΔx - 2Δx + (Δx)²]/Δx

Dividing through by Δx, we have

lim as Δx → 0 [2x - 2 + (Δx)]

Inserting Δx = 0, we have

= lim as Δx → 0 (2x -2 + 0)

= 2x -2

So lim as Δx → 0 [(x + Δx)²- 2(x + Δx) + 3 - (x² - 2x + 3)]/Δx = 2x -2

Determine the distance covered by a car traveling 80 km/h for each unit and time given. The answer should be in meter in one hour.

What is a kilometer?

1,000 meters is one metric unit of measurement (approximately 0.62 miles).

The car is travelling at the speed of 80 kilometers per hour.

One hour is  60 minutes.

So car will travel in ideal conditions 80 kilometers in one hour which is 60 minutes.

So just convert the kilometers into meters.

1 kilometer = 1000 meters,

Thus,

80 kilometers = 80,000 meters.

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7)(3,8)

8)90 °

9)AZ is not a median

Explanation

Step 1

An altitude of a triangle is the perpendicular segment from a vertex of a triangle to the opposite side,so

in the graph, we would have

hence, th coordinate A is

Step 2

what is angle ZAX

due to the lines AZ and XY are perpendicular, the intersetion of the lines form an 90 ° angle

Step 3

b)Is AZ also a median? Justify your answer.

median is the line segment from a vertex to the midpoint of the opposite side. It is also an angle bisector when the vertex is an angle in an equilateral triangle or the non-congruent angle of an isoceles triangle.

therefore, the altitude is also the median ONLY for ISOSCELES TRIANGLES,

hence

AZ is not a median

I hope this helps you

Answer:

I think its false

Step-by-step explanation:

the car went 8 second faster

Answer:

The value of y is unknown bas there is no equation

Answer:

slope is 0.6

Step-by-step explanation:

y1-y2     2-11

x1-x2     -5-10

equals

-9 over 15

simplify

3/5, decimal form is 0.6

hoped this helped

Answer:

C

Step-by-step explanation:

Using the sine ratio in the right triangle and the exact value

sin30° = \(\frac{1}{2}\)

sin30° = \(\frac{opposite}{hypotenuse}\) = \(\frac{8}{n}\) = \(\frac{1}{2}\) ( cross- multiply )

n = 16 → C

There is no inverse for this matrix since only square matrices that are orthogonal have inverses.

To determine if the matrix is orthogonal, we need to check if the columns (or rows) of the matrix form an orthonormal set. In an orthogonal matrix, the columns are orthogonal to each other and have a magnitude of 1 (i.e., they are unit vectors).

Let's calculate the dot product of each pair of columns to check for orthogonality:

Column 1 • Column 2 = (2*3) + (3*-2) + (1*3) = 6 - 6 + 3 = 3

Column 1 • Column 3 = (2*1) + (3*3) + (1*2) = 2 + 9 + 2 = 13

Column 2 • Column 3 = (3*1) + (-2*3) + (3*2) = 3 - 6 + 6 = 3

Since the dot products of the columns are not zero, the matrix is not orthogonal.

Therefore, there is no inverse for this matrix since only square matrices that are orthogonal have inverses.

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Answer:

  8006 km

Step-by-step explanation:

The radius of the Earth can be used to find the circumference. The difference in latitude compared to the full circle of 360° will give the fraction of that circumference that is the distance of interest.

Reportedly, the radius of the Earth is about 6371 km. Then the circumference is ...

  C = 2πr

  C = 2π(6371 km) ≈ 40,030.2 km

The angle between the two cities as measured at the center of the Earth is given by the difference in latitude. We can consider North Latitude to be positive, and South Latitude to be negative. Then the difference is ...

  (10° -(-62°)) = 72°

As a fraction of the full central angle, that is ...

  72°/360° = 1/5

This fraction of the entire circumference is ...

  (1/5)(40,030.2 km) ≈ 8,006 km

The distance between the two cities is about 8,006 km.

__

Additional comment

The shape of the Earth is called an "oblate spheroid." It has a bulge south of the equator, so is not a perfect sphere. Reportedly the longitudinal circumference is about 40,075 km, a little farther than we computed. One-fifth of that distance is 8015 km.

In the subtraction using 8-bit representation and 2's complement, the given numbers are converted to binary. The 2's complement of the subtrahend is found by inverting the bits and adding 1. The subtraction is performed by adding the minuend and the 2's complement of the subtrahend. If the result is negative, its 2's complement is taken to find the positive value. The final answer is obtained as the positive value with a minus sign if applicable.

a. To perform the subtraction 42 - 18 using 8-bit representation and 2's complement of the subtrahend:

Convert the numbers to their binary representation:

42 (decimal) = 00101010 (8-bit binary)

18 (decimal) = 00010010 (8-bit binary)

Find the 2's complement of the subtrahend (18):

Invert all the bits: 00010010 → 11101101

Add 1: 11101101 + 00000001 = 11101110

Perform the subtraction by adding the minuend (42) and the 2's complement of the subtrahend (-18):

00101010 (42) + 11101110 (-18's 2's complement) = 10011000 (-40 in decimal)

Since the result is negative (-40), we take its 2's complement to find the positive value:

Invert all the bits: 10011000 → 01100111

Add 1: 01100111 + 00000001 = 01101000 (40 in decimal)

Therefore, 42 - 18 = 40.

b. To perform the subtraction 17 - 38 using 8-bit representation and 2's complement of the subtrahend:

Convert the numbers to their binary representation:

17 (decimal) = 00010001 (8-bit binary)

38 (decimal) = 00100110 (8-bit binary)

Find the 2's complement of the subtrahend (38):

Invert all the bits: 00100110 → 11011001

Add 1: 11011001 + 00000001 = 11011010

Perform the subtraction by adding the minuend (17) and the 2's complement of the subtrahend (-38):

00010001 (17) + 11011010 (-38's 2's complement) = 11101011 (-21 in decimal)

Since the result is negative (-21), we take its 2's complement to find the positive value:

Invert all the bits: 11101011 → 00010100

Add 1: 00010100 + 00000001 = 00010101 (21 in decimal)

Therefore, 17 - 38 = -21, or in positive form, 21 with a minus sign (-21).

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Answer: i think method of least squares (d.)

Step-by-step explanation: i’m pretty sure this is correct because mean is good for unimodal, unskewed histograms, median is good for unimodal asymmetrical histograms, and mode is good for bimodal histograms. i’m not sure tho bcs i learned this in statistics.

Answer:

The fundamental counting principle states that if there are p ways to do one thing, and q ways to do another thing, then there are p×q ways to do both things. possible outcomes of the experiment. The counting principle can be extended to situations where you have more than 2 choices.

Step-by-step explanation:

9514 1404 393

Answer:

Step-by-step explanation:

The y-coordinates of the given points are both -2, so the line through those points is the horizontal line, y = -2. It will have a y-intercept of -2 at x=0.

Answer:

it will take 10 times for option a to be equal to a membership

and 5 times for option b

it will take 2x as many times as option a than option b

Step-by-step explanation:

Answer:

5 1/2

Step-by-step explanation:

You would have to pay 5 1/2 times for the cost of Option A to be equal to the cost of Option B.

20+2=22

Now 20/4 equals 5. And another half time because 2 is half of four. Rounding it would make it 6 times.

Statistics help present data precisely and draw meaningful conclusions. While presenting data, one should be aware of using adequate statistical measures.

Readers are generally interested in knowing the variability within the sample, descriptive data should be precisely summarized with SD. The use of SEM should be limited to computing CI which measures the precision of population estimate. Journals can avoid such errors by requiring authors to adhere to their guidelines.

Studying the entire population is time and resource-intensive and not always feasible; therefore studies are often done on the sample, and data are summarized using descriptive statistics. These findings are further generalized to the larger, unobserved population using inferential statistics.

For example, to understand the cholesterol levels of the population, the cholesterol levels of the study sample, drawn from the same population are measured.

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The graph of y = x(x² - 2)(x² + x + 1) intersects the x-axis in three different points.

The answer is (C) Three.To determine the number of points where the graph of the equation y = x(x² - 2)(x² + x + 1) intersects the x-axis, we need to find the x-values that make the equation equal to zero.

Setting y = 0, we have:

0 = x(x² - 2)(x² + x + 1)

Since the product of three factors is zero, at least one of the factors must be zero.

1. Setting x = 0:

0 = 0(x² - 2)(x² + x + 1)

This gives us one solution: x = 0.

2. Setting x² - 2 = 0:

x² = 2

Taking the square root of both sides:

x = ±√2

This gives us two additional solutions: x = √2 and x = -√2.

3. Setting x² + x + 1 = 0:

To solve this quadratic equation, we can use the quadratic formula:

x = (-b ± √(b² - 4ac)) / (2a)

In this case, a = 1, b = 1, and c = 1. Substituting these values into the quadratic formula:

x = (-1 ± √(1² - 4(1)(1))) / (2(1))

Simplifying:

x = (-1 ± √(-3)) / 2

Since the discriminant is negative, there are no real solutions for this quadratic equation.

In summary, we have found three different x-values where the equation intersects the x-axis: x = 0, x = √2, and x = -√2.

Therefore, the graph of y = x(x² - 2)(x² + x + 1) intersects the x-axis in three different points. The answer is (C) Three.

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By applying interior angles of triangles concept, it can be calculated that:

Triangle is a 2D shape that is bounded by three sides and has three vertices.

The three interior angles of triangles will always have a sum of 180°.

ΔABC:

            ∠A + ∠B + ∠C = 180°

4x + (7x - 2) + (5x - 10) = 180°

                       16x - 12 = 180°

                              16x = 192°

                                  x = 12°

Thus, ∠A = 4x = 4*12 = 48°

∠B = 7x - 2 = 7*12 - 2 = 82°

∠C = 5x - 10 = 5*12 - 10 = 50°

ΔDEF:

     ∠D + ∠E + ∠F = 180°

3x + 18x + (5x - 2) = 180°

                26x - 2 = 180°

                      26x = 182°

                           x = 7°

Thus, ∠D = 3x = 3*7 = 21°

∠E = 18x = 18*7 = 126°

∠F = 5x - 2 = 5*7 - 2 = 33°

ΔGHI:

 ∠G + ∠H + ∠I = 180°

16x + 16x + 13x = 180°

                 45x = 180°

                      x = 4°

Thus, ∠G = 16x = 16*4 = 64°

∠H = 16x = 16*4 = 64°

∠I = 13x = 13*4 = 52°

ΔJKL:

                  ∠J + ∠K + ∠L = 180°

(x + 8) + (6x - 5) + (2x - 3) = 180°

                                    9x = 180°

                                      x = 20°

Thus, ∠J = x + 8 = 20 + 8 = 28°

∠K = 6x + 5 = 6*20 - 5 = 115°

∠L = 2x - 3 = 2*20 - 3 = 37°

ΔMNO:

∠M + ∠N + ∠O = 180°, if ∠M = x, then:

     x + 5x + 4x = 180°

                  10x = 180°

                      x = 18°

Thus, ∠M = x = 18°

∠N = 5x = 5*18 = 90°

∠O = 4x = 4*18 = 72°

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Organizations that build strategic information systems create systems that are paramount to business success. The correct option is(D).

Strategic information systems are those that support the long-term goals and objectives of an organization, aligning the use of technology with the strategic direction of the business. These systems provide a competitive advantage by enabling the organization to achieve its strategic goals and objectives more efficiently and effectively.

They typically involve the integration of different types of information systems, such as transaction processing systems, decision support systems, and executive information systems, to support the decision-making process at all levels of the organization.

By building strategic information systems, organizations can improve their overall performance, enhance their operational efficiency, and gain a competitive advantage in the marketplace.

Such systems can help organizations to better understand their customers, identify new market opportunities, improve supply chain management, and optimize business processes.

In today's rapidly changing business environment, strategic information systems are essential for organizations to remain competitive and achieve long-term success.

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