Which relation represents a function?
StartSet (0, 0), (2, 3), (2, 5), (6, 6) EndSet
StartSet (3, 5), (8, 4), (10, 11), (10, 6) EndSet
StartSet (negative 2, 2), (0, 2), (7, 2), (11, 2) EndSet
StartSet (13, 2), (13, 3), (13, 4), (13, 5) EndSet



A
B
C
D

Answer:

The coordinates of D is;

Explanation:

The question can be illustrated diagramatically as;

The drawing is not to scale. it is just a way of explainuing the scenario.

To find the coordinates of the end point D(x,y).

Let us apply the mid point formula;

The same applys to y coordinates.

Given;

Substituting we have;

Also,

Therefore, the coordinates of D is;

Answer:

Step-by-step explanation:

x^2+20=2x move 2x to the left

x^2-2x+20=0

Quadratic formula =

x=1± i√19

Answer:

It is D on ed2020

1+-\(\sqrt 19 i\)

Step-by-step explanation:

Answer:

1 : 2.5

Step-by-step explanation:

Ratio expresses the relationship between two or more numbers. It shows the frequency of the number of times that one value is contained within other value(s).

2(x-y)=3y

divide both sides of the equation by 2

x - y = 3y/2

x - y = 1.5y

combine like terms together

x = 1.5y + y

x = 2.5y

ratio of x : y

1 : 2.5

Answer:

the answer is 80.75

Step-by-step explanation:

u add all the test scores together and then u divide it by 8 then that's ur answer hope this helps..

Answer:

 16. 1.56

17. 0.8625

18.0.04

Step-by-step explanation:

A formula for calculating the area of a triangle is A=1/2(b*h), where b is the length of the base and h is the height  of or length of the altitude, of the triangle.

Identify the base and sketch in the height on each type of triangle.

right triangle - One of the sides that touches the 90-degree angle constitutes the foundation of a right triangle.

The height of a triangle is measured from its base to its highest point, and in a right triangle, that height can be determined from the side that forms a right angle to the base.

acute triangle - Three sides and three vertices make up the fundamental polygon known as the triangle. It has three sides, which results in three interior angles. An acute angle is one that is between 0° and 90° in length. When all three of the triangle's internal angles are acute, the triangle is said to be acute.

obtuse triangle - In an obtuse triangle, the height or altitude from the acute angles is outside the triangle. To find the height of the obtuse triangle, we extend the base as illustrated.

what is a triangle?

Three edges and three vertices make up a triangle, which is a polygon. It is among the fundamental shapes in geometry. Triangle ABC refers to a triangle with vertices A, B, and C. In Euclidean geometry, any three points that are not collinear identify a distinct triangle and a distinct plane at the same time.

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Answer:

-2x/100 + 35

Step-by-step explanation:

Step 1:

12x ÷ 100 + 35,000 - 14x ÷ 100

Step 2:

- 2x ÷ 100 + 35,000 ÷ 100

Step 3:

- 2x ÷ 100 + 35

Answer:

- 2x/100 + 35

Hope This Helps :)

The answer is option A. No, there is a good chance that 12 randomly selected adult male passengers will exceed the elevator capacity.

Probability that it is overloaded if 12 adult male passengers have a mean weight greater than 157 lb is 0.0229.Round to four decimal places as needed.Based on the calculations the elevator does not appear to be safe.The solution for the given problem is as follows:

Given that, the maximum capacity of the elevator is 1884 lb - 12 passengers.

We can write as below:

Maximum capacity per person=1884/12=157lb.

And, weights of males are normally distributed with a mean of 165 lb and a standard deviation of 32 lb.Thus, Z = (157-165) / (32 / √12) = -1.7321Then, P(Z > -1.7321) = 0.9586

Hence, the probability that it is overloaded if 12 adult male passengers have a mean weight greater than 157 lb is:P(Z > -1.7321) = 1 - P(Z < -1.7321) = 1 - 0.0229 = 0.9771 (rounded off to 4 decimal places).This probability is greater than 5% and therefore, the elevator does not appear to be safe.

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1.1 The relationship between sampling distribution and confidence interval is that the sampling distribution helps us understand the distribution of sample statistics (such as the sample mean or proportion) when repeatedly sampling from a population.

The confidence interval, on the other hand, provides a range of values within which we can be confident that the true population parameter lies based on the sample data.

In other words, the sampling distribution gives us information about the variability and distribution of sample statistics, while the confidence interval uses this information to estimate the range of likely values for the population parameter.

1.2 To calculate the probability that the sample mean is between 9.0 and 11.0, we need to standardize the values using the z-score formula and then look up the corresponding probabilities from the standard normal distribution.

First, calculate the z-scores:

z1 = (9.0 - 10) / (3 / √40) = -1.8257

z2 = (11.0 - 10) / (3 / √40) = 1.8257

Next, look up the probabilities associated with these z-scores using a standard normal distribution table or a calculator. The probability that the sample mean is between 9.0 and 11.0 can be calculated as the difference between the two probabilities:

P(9.0 < x < 11.0) = P(z1 < Z < z2)

1.3 (a) To calculate the probability that the percentage of voters who support the candidate is between 40% and 45% in a sample of 200 voters, we can use the sampling distribution of sample proportions. Assuming the sample proportion follows a normal distribution, we can standardize the values using the z-score formula and then calculate the corresponding probabilities.

First, calculate the z-scores:

z1 = (0.40 - 0.40) / √[(0.40 * (1 - 0.40)) / 200] = 0

z2 = (0.45 - 0.40) / √[(0.40 * (1 - 0.40)) / 200]

Next, look up the probabilities associated with these z-scores using a standard normal distribution table or a calculator. The probability that the percentage of voters who support the candidate is between 40% and 45% can be calculated as the difference between the two probabilities:

P(40% < p < 45%) = P(z1 < Z < z2)

(b) To calculate the probability that the percentage of voters who support the candidate is more than 50%, we can again use the sampling distribution of sample proportions. We standardize the value using the z-score formula and calculate the corresponding probability.

Calculate the z-score:

z = (0.50 - 0.40) / √[(0.40 * (1 - 0.40)) / 200]

Look up the probability associated with this z-score using a standard normal distribution table or a calculator. The probability that the percentage of voters who support the candidate is more than 50% can be calculated as:

P(p > 50%) = P(Z > z)

1.4 To determine the 95% confidence interval for the true mean resistance, we can use the formula:

Confidence Interval = sample mean ± (critical value * standard error)

First, calculate the standard error:

Standard Error = population standard deviation / √(sample size)

              = 0.35 / √10

Next, find the critical value corresponding to a 95% confidence level from a t-distribution table with 9 degrees of freedom (n-1). The critical value for a 95% confidence level is approximately 2.

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Seraphina's speed has increased by a factor of around 23% compared to the first hour.

What Is a Change in Percentage?

The ratio of the difference in the amount to its starting value multiplied by 100 is known as the percentage change. When a number's final value is determined by increasing or decreasing a percentage of its starting value, the percentage change of that quantity will always change.

How can you determine the percentage to the closest tenth?

Rounding to the closest tenth entails adding one integer after the decimal point. The number in the thousandths place, or the second number from the right of the decimal, must be considered while rounding. If the amount is five or more, we add one percent to the number in the tenth position.

Percent Change Formula = \(\frac{ (Final value -Initial value)}{ (Initial value)}\)× 100

Percent Change               = \(\frac{(74-60)}{60}\)× 100

…                                     = \(\frac{14}{60}\) × 100

...                                     ≈ 0.23333 × 100

Percent Change             ≈ 23.33%

The pace of Seraphina increased by around 23% in the second hour compared to the first.

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The major methods of recording unstructured observational data are Narrative Description, Field Notes, Audio or Video Recording, Photography, Diagrams or Maps.

The major methods of recording unstructured observational data are:

1. Narrative Description: This method involves writing a detailed, chronological account of the observed events or behaviors, capturing the context and interactions as they occur naturally.

2. Field Notes: In this method, the observer takes brief, concise notes during the observation, focusing on key events, behaviors, or interactions. These notes can be expanded and organized later for further analysis.

3. Audio or Video Recording: Using audio or video equipment, the observer captures the events and interactions in their entirety. This allows for a more accurate record and the ability to review and analyze the data multiple times.

4. Photography: Taking photographs during the observation can provide a visual record of the events and behaviors. These images can supplement other data collection methods and help to illustrate specific aspects of the observation.

5. Diagrams or Maps: Drawing diagrams or maps of the observation setting can help capture the spatial relationships between individuals and objects, as well as the overall layout of the environment.

These methods can be used individually or in combination, depending on the research question and the specific needs of the study. Remember to always respect participants' privacy and obtain informed consent when necessary.

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the work required to move a 10 nC charge from infinity to point P is 4.80 x 10^-4 J.

To calculate the work required to move a charge from infinity to point P, we need to use the formula:

W = q * (ΔV)

where q is the charge being moved and ΔV is the change in electric potential energy.

To calculate the electric potential energy at point P, we need to first calculate the electric potential at point P due to each of the three charges. The electric potential at a point due to a point charge q is given by:

V = k * (q / r)

where k is Coulomb's constant, q is the charge, and r is the distance between the point charge and the point at which the potential is being calculated.

Using this formula, we can calculate the electric potential at point P due to each of the three charges:

V1 = k * (-2.0 µC) / (0.2 m) = -8.99 x 10^9 V

V2 = k * (4.0 µC) / (0.2 m) = 1.80 x 10^10 V

V3 = k * (6.0 µC) / (0.2 m) = 2.70 x 10^10 V

The total electric potential at point P is the sum of the individual potentials:

V = V1 + V2 + V3 = 4.80 x 10^10 V

The change in electric potential energy as the charge is moved from infinity to point P is:

ΔV = V - 0 = 4.80 x 10^10 V

Finally, we can calculate the work required to move the charge:

W = q * ΔV = (10 nC) * (4.80 x 10^10 V) = 4.80 x 10^-4 J

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Without specific information about the data set, it is not possible to determine which equation is the best fit.

To determine the linear function equation that best fits the data set, we need more information about the data set itself. Without the data points or any other details, we cannot accurately determine which linear function equation is the best fit.

However, I can provide a general explanation of the four options:

y = -2x + 5: This is a linear equation with a negative slope of -2. It represents a line that decreases as x increases. The y-intercept is 5.

y = 2x + 5: This is a linear equation with a positive slope of 2. It represents a line that increases as x increases. The y-intercept is 5.

y = -1/2x + 5: This is a linear equation with a negative slope of -1/2. It represents a line that decreases at a slower rate as x increases. The y-intercept is 5.

y = 1/2x - 5: This is a linear equation with a positive slope of 1/2. It represents a line that increases at a slower rate as x increases. The y-intercept is -5.

Without specific information about the data set, it is not possible to determine which equation is the best fit. The best fit would depend on how well the equation aligns with the actual data points.

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Answer:

1st term a1=8

2nd term a2=13

3rd term a3=18

Step-by-step explanation:

Answer:

Step-by-step explanation:

12

Answer:

3:5 mm

Step-by-step explanation:

2 cm = 20 mm. the answer will be 12:20 simplified will be 6:10 that simplified will be 3:5. so yeah

2x = 2 x 25?

50 + ? = 150

50 + 100 = 150

x = 50?

2x + 50 = 150

2 x 50 + 50 = 150

100 + 50 = 150

The measure of x is 50.

Vertical angles are generated by the junction of two straight lines that are not contiguous. Vertical angles are positioned across from each other in the corners of the "X" created by two straight lines. Because they are opposite each other, they are also known as vertically opposite angles.

Using Vertical Angle property as

(50+ 2x) = 150

So, subtract 50 from side we get

50 + 2x - 50= 150 - 50

2x = 100

Now, divide both side by 2 we get

2x/2 = 100 / 2

x = 50

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The area of the trapezoid is 140√3 square inches, in simplest radical form.

To find the area of a trapezoid, we can use the formula:

Area = (1/2) * (a + b) * h,

where "a" and "b" are the lengths of the parallel sides and "h" is the height of the trapezoid.

In this case, the lengths of the parallel sides are 20 + 6 = 26 inches and 14 inches, and the height of the trapezoid is not given. However, we can find the height by using the given angle of 60 degrees.

To find the height, we can draw a perpendicular line from one of the parallel sides to the other, forming a right triangle. The given angle of 60 degrees is opposite the side with length 14 inches. Using trigonometry, we can determine the height:

height = 14 * sin(60) = 14 * (√3/2) = 7√3 inches.

Now we can substitute the values into the area formula:

Area = (1/2) * (26 + 14) * (7√3)

= (1/2) * 40 * (7√3)

= 20 * (7√3)

= 140√3 square inches.

Therefore, the area of the trapezoid is 140√3 square inches, in simplest radical form.

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Answer:

Y = 3

X = 2

Step-by-step explanation:

(6x2) = 12

(8x3) = 24

12 + 24 = 36

(6x2) = 12

(5x3) = 15

12 + 15 = 27

The structure of cell organelles directly influences their function by providing specialized compartments and membranes that facilitate specific cellular processes.

The structure of cell organelles plays important role in determining their function within the cell. Each organelle possesses unique structural features that allow it to carry out specific tasks efficiently.

For example, the mitochondria have double membrane structure with numerous folds which is known as cristae that provide a large surface area for energy production through cellular respiration.

Also, the endoplasmic reticulum (ER) consists of network of interconnected tubules and sacs which enables it to synthesize and transport proteins and lipids.

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The money left is $296.54

The total number of people in the track team is 25

The total amount that all members will pay for the shirt is $463.50

Only 9 members have purchased the shirt

The change left can be calculated as follows

25= 463.50

1= x

cross multiply

25x= 463.50

x= 463.50/25

x= 18.54

18.54 × 9

= 166.86

463.50-166.86

= 296.54

Hence the change left is $296.54

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The area of a parallelogram, you need to multiply the base by the height is 10 cm.

The height, you need to draw a perpendicular line from the top of the parallelogram to the base. This perpendicular line is the height, and it measures 7 cm.
So the area of the parallelogram is \(10 cm x 7 cm = 70 \)square centimeters.

It is important to note that the height is perpendicular to the base, and that the length of the opposite sides of the parallelogram are equal.
It is also worth mentioning that there are different formulas to find the area of a parallelogram, depending on the information given.

For example, if you are given the lengths of both the base and the height, you can use the formula A = bh. If you are given the lengths of two sides and the angle between them,

you can use the formula A = ab sin C,

where a and b are the lengths of the two sides, and C is the angle between them.

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The comparison between the Puritan governments of Massachusetts and Connecticut is that both were theocracies. Meanwhile, the contrast between the two is the government. The effectiveness of each form of government and its impact on American democracy are different.

Compare and contrast the Puritan governments of Massachusetts and Connecticut:

The Puritan governments of Massachusetts and Connecticut were both theocracies, meaning that they were governed by religious leaders. However, there were some key differences between the two. In Massachusetts, the government was more authoritarian, with strict laws and punishments for those who did not follow the Puritan faith. In contrast, Connecticut had a more democratic government, with elected officials and a system of checks and balances.

Evaluate the effectiveness of each form of government:

The authoritarian government of Massachusetts was effective in maintaining strict adherence to the Puritan faith, but it also led to the persecution of those who did not conform. On the other hand, the democratic government of Connecticut allowed for more religious freedom and was able to adapt to changing circumstances.

Impact on American democracy:

The Puritan governments of Massachusetts and Connecticut had a lasting impact on American democracy. The authoritarian government of Massachusetts influenced the development of strong central governments, while the democratic government of Connecticut influenced the development of representative democracy and the separation of powers.

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Answer:

Follow the steps shown below.

Step-by-step explanation:

12cos(30)+2tan(60)

\(12*\frac{\sqrt{3} }{2} + 2\sqrt{3}\)

\(6\sqrt{3} + 2\sqrt{3}\)

\(8\sqrt{3}\)

\(\sqrt{64*3}\)

\(\sqrt{192}\)

When something decreases by 15.7%, the growth factor is about 1.182 and when something decreases by 0.12%, the growth factor is about 1.00012.

In math, what is the definition of multiplying?

Multiplication is a mathematical process that shows the amount of times a number has been added to itself. It is represented by the multiplication symbols (x) or (*). Division is a mathematical process that shows how many equal amounts add up to a given quantity.

If something decreases by 15.7%, the increase in the factor is 100 / (100 - 15.7) Equals 1.182.

As a result, when something decreases by 15.7%, the growth factor is about 1.182.

When something falls by 0.12%, the expansion factor is 100 / (100 - 0.12) = 1.00012.

As a result, when something decreases by 0.12%, the growth factor is about 1.00012.

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To increase real GDP and bring it closer to potential GDP during a recession, the government could increase government spending and/or decrease taxes.

During a recession, when real GDP is below potential GDP, the government can use fiscal policy tools to stimulate economic growth and close the GDP gap. The two options that can be effective in this situation are increasing government spending and decreasing taxes.

Increase government spending: By increasing spending on infrastructure projects, education, healthcare, or other sectors, the government can create demand in the economy, which leads to increased production and employment, ultimately raising real GDP.

Decrease taxes: Reducing taxes can provide individuals and businesses with more disposable income, encouraging consumption and investment. This increased spending and investment can boost aggregate demand, leading to higher production levels and closing the GDP gap.

Decreasing government spending and increasing taxes, on the other hand, would have contractionary effects, potentially exacerbating the recessionary conditions by reducing overall demand in the economy. Therefore, these options are not suitable for increasing real GDP during a recession.

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Answer:

48m

Step-by-step explanation:

The perimeter is the length of the outline of a shape. To find the perimeter of a rectangle or square you have to add the lengths of all the sides. x is in this case the length while y is the width.