HELP GEOMETRY WILL GIVE BRAINLY PLEASE SHOW STEPS

HELP GEOMETRY WILL GIVE BRAINLY PLEASE SHOW STEPS

Answers

Answer 1

Answer:

396 pi mm²

Step-by-step explanation:

The surface area of a cylinder:

The total surface area (A) of a cylinder is calculated by adding the areas of the two bases and the lateral surface area.

A = 2πr^2 + 2πrh

Given:

The surface area of the first cylinder (A1) = 594π mm^2

Height of the first cylinder (h1) = 24 mm

Height of the second cylinder (h2) = 16 mm

We can use the property of similarity and set up the proportion:

A1 / A2 = (h1 / h2)^2

Plugging in the given values, we get:

594π / A2 = (24 / 16)^2

Simplifying, we get:

594π / A2 = 3/2)^2

594π / A2 = 9/4

Cross-multiplying, we get:

A2 = (594π * 4) / 9

A2 = 264π mm^2

So, the correct surface area of the second cylinder is 264π mm^2.


Related Questions

PLEASE HELP! This is due tomorrow and I'm stuck on this question.


Who is correct? Elijah or Emma? Please explain who's correct and how. Thank you.

Answers

Elijah claim is true, the median of the data is likely to be less than or equal to six because most of the team has six or less years of experience.

What is Number line ?

A number line can be defined as a pictorial representation of numbers in a straight line. The numbers  are placed consecutively at the same distance along the number line. It can be infinitely extended  in any direction and is usually presented horizontally.

Based on the information provided, we can conclude that the Boston Celtics roster has players with 2-12 years of experience.

Elijah claim is true, three quarters of the team's total  players  have six or less experience

Since the total number of players in the team is not given, we cannot determine the exact number of players with six  years of experience or less. However, we can say that the median of the data is likely to be less than or equal to six because most of the team has six or less years of experience.

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Diversification can reduce portfolio risk even in the case when correlations across stock returns equal zero. (True or False)

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Given statement: Diversification can reduce portfolio risk even when correlations across stock returns equal zero.

Given statement is true.

Because, By diversifying, you spread your investments across various assets, which can help reduce the overall risk of your portfolio. When correlations are zero, it means that the stock returns move independently of each other, further supporting the benefit of diversification in this case.

Diversification can reduce portfolio risk by combining assets with different return patterns, but even when the correlations between the returns are zero, there is still systematic risk (market risk) that cannot be diversified away.

This is because all stocks are subject to macroeconomic factors such as inflation, interest rates, and changes in consumer confidence, which can affect the entire market.

Therefore, even if the correlations across stock returns are zero, diversification cannot completely eliminate portfolio risk.

However, it can still reduce it to a certain extent by spreading the risk across different assets.

The more uncorrelated the assets are in a portfolio, the greater the potential for risk reduction.

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the sides of a triangle have lengths 7.5, 11, and x. if x is an integer, what is the least possible value of x ? 1

Answers

In the given triangle the least possible value of x is 4.

What is triangle?

In Geometry, a triangle is a three-sided polygon which consists of three edges, three sides and three vertices. One of  the property of a triangle is that the sum of the internal angles of a triangle is equal to 180° or two right angle.

By the property of triangle the third side of the triangle should more than the difference of the other two sides and less than the sum of the another two sides.

The sides of a triangle have lengths 7.5, 11, and x.

So the inequality will be,

11- 7.5 < x < 7.5+11

3.5 < x < 18.5

As x is an integer and a integer number which is least with the criteria that it must be greater than 3.5 so it must be 4.

Hence, the value of x is 4.

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barron's reported that the average number of weeks an individual is unemployed is 18.5 weeks. assume that for the population of all unemployed individuals the population mean length of unemployment is 18.5 weeks and that the population standard deviation is 4 weeks. suppose you would like to select a sample of 40 unemployed individuals for a follow-up study. what is the probability that a simple random sample of 40 unemployed individuals will provide a sample mean within 1 week of the population mean? (round your answer to four decimal places.)

Answers

The probability that a sample mean of 40 unemployed individuals will be within 1 week of the population mean of 18.5 weeks with a population standard deviation of 4 weeks is 0.6827, rounded to four decimal places.

Given that the population mean length of unemployment is 18.5 weeks and the population standard deviation is 4 weeks, we want to find the probability that a simple random sample of 40 unemployed individuals will provide a sample mean within 1 week of the population mean.

The standard error of the sample mean is given by the formula

standard error = population standard deviation / sqrt(sample size) = 4 / sqrt(40) = 0.6325

Using the central limit theorem, we can assume that the sample mean follows a normal distribution with a mean of 18.5 weeks and a standard deviation of 0.6325 weeks.

To find the probability that the sample mean will be within 1 week of the population mean, we need to calculate the z-score for the lower and upper limits of the sample mean

z1 = (18.5 - 1 - 18.5) / 0.6325 = -1

z2 = (18.5 + 1 - 18.5) / 0.6325 = 1

Using calculator, we can find that the area between z = -1 and z = 1 is 0.6827.

Therefore, the probability that a simple random sample of 40 unemployed individuals will provide a sample mean within 1 week of the population mean is 0.6827 or 68.27% (rounded to four decimal places).

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Nicole took out a 30-year mortgage for $90,000 at 7.5%. How much is her monthly mortgage payment?

Answers

Answer:

Nicole pays 629 dollars per month.

Step-by-step explanation:

I think Nicole pays $629.29 per month

Step-by-step explanation:

HELP PLEASE !!!!!
Subtract.
(9w² + 3w) - (6w² + w)

Answers

Answer:

3w²+2w

Step-by-step explanation:

(9w² +3w)-(6w²+w)

=9w²+3w-6w²-w

collecting like terms

=9w²-6w²+3w-w

=3w²+2w

=w(2+3w)

what type of data pattern or patterns do you see most prominently in the time series plot of marriages? select all that apply. group of answer choices seasonal horizontal/stationary trend downward trend upward

Answers

The specific patterns that are most prominent would depend on the data and the time period being analyzed.

The time series plot of marriages shows a clear seasonal pattern, with peaks occurring in the summer months and troughs in the winter months.

However, there does not seem to be a significant horizontal or stationary trend, as the overall level of marriages appears to fluctuate around a relatively stable mean. Additionally, there is no clear upward or downward trend over time, as the number of marriages appears to remain relatively stable despite some fluctuations. Overall, the most prominent pattern in the time series plot of marriages is the seasonal pattern, with little evidence of other types of patterns.

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solve the following inequality for b 5b - 3 > 8b +4 write your answer in the simplest form

Answers

Answer:

b < [tex]\frac{7}{4}[/tex]

Step-by-step explanation:

5b - 3 > 9b + 4

-4b - 3 > 4

-4b > 7

b < [tex]\frac{7}{4}[/tex]

So, the answer is b < [tex]\frac{7}{4}[/tex]

1) Consider the quadratic function: f (x) = (x + 3)2 – 2 and a function, g(x), which is created by translating
f (x) three units to the right, two units up, and reflected vertically over the x-axis. Complete the following tasks:
a) 15 points: Graph f (x) on the axes below and label it. Graph g(x) on the axes below and label it.
b) 10 points: Write the vertex form equation for g(x) below.

Answers

The graph of both functions are in the image at the end, and the vertex of g(x) are (0, 0).

How to graph the function g(x)?

Here we know that the function f(x) is:

f(x)= (x + 3)² - 2

And g(x) is a translation of 3 units to the right, 2 units up, and reflected over the x-axis, then we have:

g(x) = -[ f(x - 3) + 2]

Replacing f(x) we get:

g(x) = -[ (x + 3 - 3)²  -2 + 2]

g(x) = -x²

The graphs of both functions are the ones in the image at the end, there we can see that the vertex of g(x) is (0, 0).

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At 2:48 what is the degree measure of the smaller angle formed by the hour and minute hands of a 12-hour clock? - Please help, I have 10 minutes

Answers

The degree measure of the smaller angle formed by the hour and minute hands of a 12-hour clock at 2:48 is 85 degrees.

The hour hand is between the 2 and the 3, and since it's 2:48, it's closer to the 3. To be more precise, it's at 2.8 on the clock face .

The minute hand is pointing at the 8, as it's 48 minutes past the hour.

To find the angle between the hands, we need to find the difference between their positions and multiply it by 30 .

So the angle formed by the hour and minute hands at 2:48 is:

| 30 × (2.8/12 - 8) | = | -85 | = 85 degrees.

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find the mean

99, 66, 94, 100, 54, 57, 74, 91

Answers

To find the mean, you add up all the numbers and then divide by the total number of numbers:

(99 + 66 + 94 + 100 + 54 + 57 + 74 + 91) / 8 = 731 / 8 = 91.375

So the mean is 91.375.

~~~Harsha~~~

I would imagine that X is a portion of the entire arc measure of the circle, which would be 360°, but the problem is that 360-270 does not equal any of the answer choices.
For 100 points, is anyone able to help me with this math problem?
If it's any help, this is geometry.

Answers

The value of x is 72°

What is an arc?

An arc is any smooth curve joining two points. The length of an arc is known as its arc length.

A sector is the area bounded by two radii and an arc.

The measure of an arc is defined to be equal to the central angle of its sector.

Since the angle of the sector formed is 72° and it has been stated that the measure of an arc is defined to be equal the central angle of its sector, then we can say that the value of arc x is 72°.

Therefore the value of x is 72°.

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9) For each right triangle, find the length of the side that is not given:

Answers

Answer:

A) 11.66190379

B) 9.74679

C)10.24695

D)6.32455532

Step-by-step explanation:

All of these are done by using the equation A^2 + B^2 = C^2, C being the long side and a and b being the short side.

The population density in orange land is 18 oranges per acre exactly 792 oranges grow in orange land how many acres are there in orange light

Answers

Answer:

44 acres

Step-by-step explanation:

Population density is the number of individuals per unit area. It is a useful concept to measure how crowded or sparse a region is. For example, if we want to compare the population density of different countries, we can divide the total population by the total land area. This will give us the number of people per square kilometer or square mile.

In this case, the population density of oranges is 18 oranges per acre. This means that on average, there are 18 oranges in every acre of land that grows oranges. This can help us estimate how much land is needed to produce a certain amount of oranges. For example, if we want to know how many acres of land can produce 1000 oranges, we can divide 1000 by 18 and get 55.56 acres.

To find the area of orange land, we need to divide the total number of oranges by the population density. This will give us the number of acres that can fit 792 oranges. The formula is:

Area = Number of oranges / Population density

Plugging in the given values, we get:

Area = 792 / 18

Simplifying, we get:

Area = 44

Therefore, there are 44 acres in orange land. This means that if we have 792 oranges, we can distribute them evenly in 44 acres of land and have 18 oranges per acre.

A pair of fair dice is rolled. What is the probability that the number landing uppermost on the first die is a 6 if it is known that the sum of the numbers landing uppermost is 7?

Answers

The probability that the landing uppermost of the first die is 6 given the conditions as required is; 1/36.

What is the probability given the requirements as stated?

It follows from the task content that; the probability that the number landing uppermost on the first die is a 6 if it is known that the sum of the numbers landing uppermost is 7 is to be determined.

This implies that the first die gives 6 and the second die gives 1 so that the required probability is;

P = (1/6) × (1/6)

P = 1 / 36.

Ultimately, the required probability as described is; 1/36.

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A 4-cup bottle of soda costs $6.80. What is the price per pint?

Answers

Answer: $0.85

:)

hope this hellps

Answer:

$3.40 per pint

Step-by-step explanation:

4 cups is equal to 2 pints, as there are 4 cups in 2 pints.

So let's set up an equation:

6.80/2

3.40

pls hlp thx so much !!!!!!!!!!!!!!

Answers

On solving the provided question, we can say that

the measurement of angle B is 40 degrees.

What is equation?

A mathematical equation is a formula that connects two statements and denotes equivalence with the equals symbol (=). An equation is a mathematical statement that shows the equality of two mathematical expressions in algebra. In the equation 3x + 5 = 14, for example, the equal sign separates the variables 3x + 5 and 14.

A mathematical formula describes the connection between the two sentences that occur on opposite sides of a letter. The symbol and the single variable are frequently the same. As in 2x - 4 equals 2, for instance.

Supplementary angles add up to 180 degrees. Therefore, we can write the equation:

A + B = 180

Substituting the given expressions for A and B, we get:

(4x - 16) + (x + 1) = 180

Simplifying the left side, we get:

5x - 15 = 180

Adding 15 to both sides, we get:

5x = 195

Dividing both sides by 5, we get:

x = 39

Therefore, the measurement of angle B is:

B = x + 1 = 39 + 1 = 40 degrees.

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Chipwich Summer Camp surveyed 100 campers to determine which lake activity was their favorite. The results are given in the table.


Lake Activity Number of Campers
Kayaking 15
Wakeboarding 11
Windsurfing 7
Waterskiing 13
Paddleboarding 54


If a circle graph was constructed from the results, which lake activity has a central angle of 54°?
Kayaking
Wakeboarding
Waterskiing
Paddleboarding

Question 12

A recent conference had 750 people in attendance. In one exhibit room of 70 people, there were 18 teachers and 52 principals. What prediction can you make about the number of principals in attendance at the conference?

There were about 193 principals in attendance.
There were about 260 principals in attendance.
There were about 557 principals in attendance.
There were about 680 principals in attendance.

Answers

The activity with a central angle of 54° is Kayaking and there were about 557 principals in attendance based on the prediction

The activity with a central angle of 54°

The formula to calculate the central angle for an activity is:

central angle = (number of campers for the activity / total number of campers) x 360°

Using this formula, we can calculate the central angle for each activity:

Kayaking: (15/100) x 360° = 54°

Wakeboarding: (11/100) x 360° = 39.6°

Windsurfing: (7/100) x 360° = 25.2°

Waterskiing: (13/100) x 360° = 46.8°

Paddleboarding: (54/100) x 360° = 194.4°

Therefore, the activity with a central angle of 54° is Kayaking.

Predicting the number of principals in attendance at the conference?

To make a prediction about the number of principals in attendance at the conference, we can assume that the proportion of principals in the exhibit room is similar to the proportion of principals in the whole conference.

In the exhibit room, out of 70 people, 52 were principals.

So, the proportion of principals in the exhibit room was 52/70

We can predict the number of principals in attendance at the conference as follows:

Number of principals = proportion of principals x total number of attendees

If we plug in the values, we get:

number of principals = 52/70 x 750 = 557

So, based on this prediction, we can say that there were 557 principals in attendance at the conference.

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Luby's MIS algorithm is likely to finish in O(log n) parallel steps, where n is the number of vertices.true or False

Answers

The statement "Luby's MIS algorithm is likely to finish in O(log n) parallel steps, where n is the number of vertices." is true because a vertex selecting each group is equal.

An independent set in a graph is a set of vertices that do not share any edges.

The algorithm starts by having each vertex randomly assign itself to one of two groups. The processors then communicate with each other to identify vertices that belong to a group with no neighbors in the same group. These vertices are then marked as part of the MIS.

In each round of communication, the number of vertices in the MIS doubles. This means that the algorithm will converge in O(log n) parallel steps, where n is the number of vertices in the graph.

The complexity of the algorithm is therefore very efficient, and it can handle large graphs with many vertices.

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the purse shown is a trapezoidal prism. the front face of the purse has a stripe. of the stripe is the midsegment of the front face, how long is the stripe

Answers

Answer:

(1/2)(7 + 12) = 19/2 = 9.5 inches

The requried measure of the middle strip of the trapezoidal prism is 9.5 inches.

What is simplification?

Simplification involves applying rules of arithmetic and algebra to remove unnecessary terms, factors, or operations from an expression. The goal is to obtain an expression that is easier to work with, manipulate, or solve.

Here,
The purse shown is a trapezoidal prism. the front face of the purse has a stripe.

The measure of the mid stripe is given by,
= 1 / 2[ sum of lower and upper strip]
= (1/2)(7 + 12)
= 19/2
= 9.5 inches

Thus, the requried measure of the middle strip of the trapezoidal prism is 9.5 inches.

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Un concensario de coches rebaja a 16000 un vehiculo que valia 18300 en que porcentaje lo han rebajado?

Answers

As a car dealer lowers a vehicle that was worth 18300 to 16000 by applying the formula of change in percentage we get that by 12.569 percentage (approximately) the price gets lowered .

The initial price of the car is set at P = 18300 (units)

The price after lowering drom P becomes A= 16000 (units)

Hence the change in price (or value) of the car, that is the price of the car is lowered by, C = (initial price - lowered price) = (P - A) = (18300 - 16000) units = 2300 units.

The formula for calculating percentage change is given as follows,

Change in percentage = [(Change in value)/ ( Initial value) ]*100

⇒Change in percentage = (C/ P)*100

⇒ Change in percentage =( 2300/ 18300)*100 = 12.569% (approximately)

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what are the best displays for bivariate categorical data

Answers

The best displays for bivariate categorical data depend on the nature of the data and the research question. Here are a few common types of displays for bivariate categorical data:

Clustered Bar Charts: This display shows the frequency of each category of two variables side-by-side.

Stacked Bar Charts: This display shows the frequency of each category of two variables stacked on top of each other.

Mosaic Plots: This display shows the relative proportion of each combination of two categorical variables by area.

Heat Maps: This display is a two-dimensional table that is color-coded to show the relationship between two categorical variables.

Tree Maps: This display shows the proportion of each category of two variables by area.

The choice of display should be guided by the nature of the data and the research question being addressed.

~~~Harsha~~~

Which angles in standard position have their terminal side in quadrant II?

Select all that apply.

Answers

Angles in standard position with their terminal side in quadrant II have measures between 90 and 180 degrees.

Therefore, the angles that have their terminal side in quadrant II are

120 degrees

135 degrees

150 degrees

165 degrees

So, all of the above angles apply.

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It is recommended that a ramp have at least 5 feet of horizontal distance for every 1 foot of horizontal rise along an incline. The ramp shown has a vertical rise of 3 feet. Does the ramp shown match the recommended​ specifications? Explain.

Answers

Yes ,inclination in between 4in / 15 in < 4in / 18 in

What is incline?

An inclined plane, also known as a ramp, is a flat supporting surface that is tilted at an angle from the vertical direction with one end higher than the other. It can be used to lift or lower a load.

What is horizontal and vertical?

The horizontal line in coordinate geometry is the line perpendicular to the x-axis, and the vertical line is the line perpendicular to the y-axis. Horizontal lines and vertical lines will be parallel to the x-axis and the y-axis, respectively. As a result, lines that share at least one point are perpendicular to one another when they are drawn.

6 feet of horizontal distance for every 1 foot,

ramp shown has a vertical rise of 5 feet.

Therefore

M ≤ 1foot / 6 feet

Converting both to a single units of ( inches )

M ≤ 12 inches / 72 inches

Dividing by 4

M ≤ 4 inches / 18 inches

Where 5 feet = 60 inches

12 inches / 60 inches

= 4 inches / 15 inches

Therefore:

4in / 15 in < 4inch / 18 inch

The condition states the ramp has to be at least 6feet, what this means is it has to be between 0-6 so since it is lesser. Yes it meets the recommendations.

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Yes, inclination in between 4in / 15 in < 4in / 18 in

What is incline?

A flat supporting surface that is inclined at an angle from the vertical direction with one end higher than the other is referred to as an inclined plane or a ramp. A load may be raised or lowered using it.

What is horizontal and vertical?

In coordinate geometry, the horizontal line is the line parallel to the x-axis, while the vertical line is the line parallel to the y-axis. Vertical and horizontal lines will be perpendicular to the x- and y-axes, respectively. As a result, when lines are drawn, they are perpendicular to one another if they share at least one point.

6 feet of horizontal distance for every 1 foot,

ramp shown has a vertical rise of 5 feet.

Therefore

M ≤ 1foot / 6 feet

Converting both to a single units of ( inches )

M ≤ 12 inches / 72 inches

Dividing by 4

M ≤ 4 inches / 18 inches

Where 5 feet = 60 inches

12 inches / 60 inches

= 4 inches / 15 inches

Therefore:

4in / 15 in < 4inch / 18 inch

The condition states the ramp has to be at least 6 feet, what this means is it has to be between 0-6 so since it is lesser. Yes it meets the recommendations.

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191 cm
191 cm

162 cm
162 cm

170 cm
170 cm

152 cm
152 cm

192 cm
192 cm

168 cm
168 cm

201 cm
201 cm

205 cm
205 cm

190 cm
190 cm

161 cm
161 cm

193 cm
193 cm

195 cm
195 cm

177 cm
177 cm

Answers

Answer:

152 cm, 161 cm, and 162 cm

Question 2(Multiple Choice Worth 2 points)
(Appropriate Measures MC)

The box plot represents the number of tickets sold for a school dance.

A horizontal line labeled Number of Tickets sold that starts at 8, with tick marks every one unit up to 30. The graph is titled Tickets Sold for A Dance. The box extends from 17 to 21 on the number line. A line in the box is at 19. The lines outside the box end at 10 and 27.

Which of the following is the appropriate measure of center for the data, and what is its value?

The mean is the best measure of center, and it equals 19.
The median is the best measure of center, and it equals 4.
The median is the best measure of center, and it equals 19.
The mean is the best measure of center, and it equals 4.

Answers

For the given problem, The correct answer will be option 3: The median is the best measure of center, and it equals 19.

What is a box plot?

A box plot,also known as a box-and-whisker plot, is used for graphical representation of summary statistics from a data set. It helps by providing a visual representation of a data set's central tendency, dispersion, and skewness, making it straightforward to identify important data aspects.

As box ranges from (17 to 21), the interquartile range (IQR) is [tex](21 - 17 = 4)[/tex].

The median is represented by the line inside the box, which is at 19. This shows that 50% of whole data is less than 19 and 50% of it is greater than 19.

Outside the box, the lines finish at 10 and 27, representing the lower and upper whiskers, respectively. Data range is represented by these lines, where lower whisker extends to a minimum of 10 and the higher whisker reaching to a maximum upto 27.

Since the median represents the middle value of the data when sorted in ascending order, and it is not influenced by outliers or extreme values, it is considered a robust measure of center. In this case, the median is 19, as it is the value at the center of the data according to the box plot.

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a quality control inspector wants to test whether the average weight of product on the line has varied from the specified value of 16 ounces. he takes a simple random sample of 100 products and obtains a mean of 16.3 and a standard deviation of 2.5. what are the hypotheses of this test?

Answers

Answer: The hypotheses of this test are:

Null hypothesis: The average weight of the product on the line is equal to the specified value of 16 ounces.

Alternative hypothesis: The average weight of the product on the line is different from the specified value of 16 ounces.

Step-by-step explanation:

sorry to bother but can yall help me with this?

Answers

17, 19 and 20 are modes

Mode is the value that appears the most and in this question 17 19 and 20 all appear 3 times which is max so they’re the modes

What is the equation of the line that is perpendicular to the given line and passes through the point (2, -2) and is perpendicular to the line represented by y=2/5x+2?

Answers

The equation of line passes through the point (2, -2) and is perpendicular to the line represented by y=2/5x+2 is y = -5x/2+3

Given that a line is passing through the point (2, -2) and is perpendicular to the line y = 2x/5+2, we need to find the equation of the line,

The equation of line is, y = mx + c, where m is the slope,

So, we know that the slopes of the perpendicular lines are negative reciprocal of each other,

So, the slope of the required line is -5/2.

Therefore, the equation will be

y = -5x/2 +c

To find c put x = 2, y = -2

-2 = -5(2)/2 + c

-2 = -5 + c

c =3

Hence, the equation is, y = -5x/2+3

Therefore, the equation of line passes through the point (2, -2) and is perpendicular to the line represented by y=2/5x+2 is y = -5x/2+3

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how many functions are there from the set {1, 2,...,n}, where n is a positive integer, to the set {0, 1} a) that are one-to-one? b) that assign 0 to both 1 and n? c) that assign 1 to exactly one of the positive integers less than n?

Answers

Answer: a) To count the number of one-to-one functions from the set {1, 2,...,n} to the set {0, 1}, we can use the formula for the number of permutations of n distinct objects, which is n!.

However, since we are only considering one-to-one functions, we can only choose 0 or 1 for the image of each element of the domain. The first element can be assigned 2 choices, the second can be assigned 1 of the remaining 2 choices, the third can be assigned 1 of the remaining 1 choice, and so on. Therefore, the number of one-to-one functions from {1, 2,...,n} to {0, 1} is:

2 × 1 × 1 × ... × 1 = 2^(n-1)

b) To count the number of functions that assign 0 to both 1 and n, we can treat the remaining elements {2, 3,...,n-1} as a new set and count the number of functions from this set to {0, 1}. This is the same problem as in part (a), but with n-2 elements instead of n. Therefore, the number of functions from {1, 2,...,n} to {0, 1} that assign 0 to both 1 and n is:

2^(n-3)

c) To count the number of functions that assign 1 to exactly one of the positive integers less than n, we can choose which element of the domain is assigned 1 in n ways. The remaining elements can be assigned 0 or 1 independently, for a total of 2^(n-1) choices. Therefore, the number of functions from {1, 2,...,n} to {0, 1} that assign 1 to exactly one of the positive integers less than n is:

n × 2^(n-1)

Step-by-step explanation:

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