The speed of the air or water increases and its pressure decreases as it circles the longer-path side of the sail or keel. The air or water will attempt to migrate from the side of high pressure to the side of low pressure as it moves along the sail or keel in response to the consequent pressure difference.
How is sailing speed determined?Theoretical displacement hull speed is determined by the following equation: velocity in knots = 1.35 x waterline length in feet squared.
Use x to symbolise the slower boat's speed.
Therefore, the faster boat's speed would be x + 20 mph.
They met for 8 hours, hence the distance they travelled overall during that period is depicted as
Distance: (x + 20) * 8 + x * 8
Thus, we have
Distance: 16x plus 160
At twilight, the two boats were separated by 400 kilometres.
The distance equation is as follows.
400 = 16x + 160
Analyze similar terms
16x = 240
multiply by 16
x = 15
Remember that
20 mph faster boat equals x.
Thus, we have
Speedier boat = 15 plus 20
Speedier boat = 35
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Jonelle spends $22.50 at a library book sale.she spends $4.50 on a paperback books and buys 6 hardcover books of equal value.
Answer: 3
Step-by-step explanation:
Subtract the cost of paperback books from Jonelle's total amount.
(22.50 - 4.50)
Then, you'll get ($18).
Divide (18) by the number of hardcover books.
(18/6)
Finally, you'll get $3 for the cost of each hardcover book.
Rewrite the equation so it does not have fractions. 5-3/4x=3/8
Answer: 6x=37
Step-by-step explanation: Because it is.
What did the authors of the A map of an amusement park is shown on the coordinate plane with the approximate location of several rides.
coordinate plane with points at negative 14 comma 1 labeled Woozy Wheel, negative 6 comma 2 labeled Bumper Boats, negative 2 comma negative 4 labeled Roller Rail, negative 2 comma negative 6 labeled Trolley Train, 2 comma negative 3 labeled Silly Slide, and 6 comma 11 labeled Parachute Plunge
Determine the distance between the Woozy Wheel and the Roller Rail.
119 units
11 units
169 units
13 units
The distance between Woozy Wheel and the Roller Rail is 13 units.
What are the Coordinates?Coordinates are the set of points in a geometrical plane or space, which is used to denote the exact point in the coordinate plane or space.
Distance between two points (x, y) and (x', y') is,
D = √[(x' - x)² + (y' - y)²]
Coordinates of Woozy Wheel = (-14, 1)
Coordinates of Roller Rail = (-2, -4)
Distance = √ [(-2 - -14)² + (-4 - 1)²]
= √ [(12)² + (-5)²]
= √169
= 13 units
Hence the required distance is 13 units.
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The distance between the Woozy Wheel and the Roller Rail is 13 units.
The correct option is D.
What is the distance between two points?Distance between two points with coordinates (x₁ , y₁) and (x₂ , y₂). is given by
D = √[(x₁ - x₂)² + (y₁ - y₂)²]
This formula is derived from the Pythagoras Theorem, as the points form a right triangle in plane, with the hypotenuse representing the distance between them.
The coordinates of the Woozy Wheel and the Roller Rail are:
Woozy Wheel: (-14, 1).
Roller Rail: (-2, -4).
Hence the distance between these two points is given as follows:
D = √[(-14 - -2)² + (1 - -4)²]
D = √(-12² + 5²)
D = √(144 + 25)
D = √169
D = 13
Hence, 13 units is the distance between Woozy Wheel and Roller Rail.
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for what values of a and b is the following function continuous at every x?
Answer:By solving a system of equations, we will see that the function is continuous for all values of x
Step-by-step explanation:
Compare the key feature (slope and y-intercept) of each linear function g with those of the graph of f(x)= 2x + 3. Describe how the value of k affects the key features.
Please explain all the questions.
23. g(x)=3(2x+3) has a slope of 6 and y-intercept of 9.
24. g(x)=2(0.5x) +3 has a slope of 1 and y-intercept of 3.
25. g(x)=1(2x+3) has a slope of 2 and y-intercept of 3.
26. g(x)=2(1)x+3 has a slope of 2 and y-intercept of 3.
The value of k in the linear function g(x)=k(mx+b) affects the slope of the function by multiplying the slope of the original function m by k. The y-intercept of the function remains unchanged.
How did we arrive at the assertions?23. g(x)=3(2x+3) can be written as g(x)=6x + 9. This shows that the slope of the function is 6 and the y-intercept is 9.
24. g(x)=2(0.5x) +3 can be written as g(x)=x + 3. This shows that the slope of the function is 1 and the y-intercept is 3.
25. g(x)=1(2x+3) can be written as g(x)=2x + 3. This shows that the slope of the function is 2 and the y-intercept is 3.
26. g(x)=2(1)x + 3 can be written as g(x)=2x + 3. This shows that the slope of the function is 2 and the y-intercept is 3.
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There are 160 boys and girls playing in the soccer tournament 32 of the students are wearing orange What percent of the players are wearing orange?
Answer:
20%
Step-by-step explanation:
the question for this problem is basically 32/160*100
32/160=1/5=0.2. We need to make it into a percent so 0.2*100= 20%
En un día normal la temperatura en un aeropuerto es de 20ºF. Indicar si podrán despegar los vuelos. Explica
Yes, the flights can take off at this temperature.
What is temperature?Temperature is a physical quantity that expresses quantitatively the perceptions of hotness and coldness.
Given is that on a normal day the temperature at an airport is 20ºF.
Yes, flights can take off at this temperature. Commercial airplanes can cruise at an altitude of nearly 40,000 feet, where temperatures hover around -70 degrees Fahrenheit.
Therefore, Yes, the flights can take off at this temperature.
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{Complete question in english -
On a normal day the temperature at an airport is 20ºF. Indicate if the flights will be able to take off. Explain}
describe where on earth from which you can travel one mile south, then one mile east, and then one mile
North and end up at the starting point. The unique geographic properties of the North Pole allow you to travel one mile south, then one mile east, and then one mile north, and end up back at thepo starting point. This property is unique to the North Pole and cannot be found anywhere else on the planet.
The only place on earth where you can travel one mile south, then one mile east, and then one mile north and end up at the starting point is the North Pole. This is because at the North Pole, all directions are north, and so no matter which direction you travel, you will always be moving away from the equator and towards the North Pole. Additionally, since all longitudes converge at the North Pole, traveling one mile in any direction will not change your latitude or longitude, meaning that you will end up back at the North Pole after traveling one mile south, then one mile east, and then one mile north.
At the North Pole, there is no concept of east and west as all lines of longitude converge at the pole. Hence, traveling one mile east or west will bring you back to the same location. The same applies to traveling one mile north or south as all directions at the North Pole are north.
It's important to note that the North Pole is a remote and inhospitable environment, with temperatures that remain below freezing throughout the year. As a result, there are no permanent settlements at the North Pole, and accessing the area requires specialized equipment and training.
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Which of the following equations represents
a line that passes through the points (3, 3)
and (4,2)?
I. y - 3 - (x − 3)
II. y = -x + 6
The equation of the line passing through the given points y=3-(x-3)
What are linear equations?Linear equations help in representing the relationship between variables such as x, y, and z, and are expressed in exponents of one degree. In these linear equations, we use algebra, starting from the basics such as the addition and subtraction of algebraic expressions.
Given here: The point (3,3) and (4,2)
Using the two point form to construct the line that passes through both the points by following the standard equation. Point-slope is the general form y-y₁=m(x-x₁) for linear equations. It emphasizes the slope of the line and a point on the line (that is not the y-intercept).
Thus
y-3=2-3/4-3 (x-3)
y-3=-1(x-3)
y-3=-x+3
y+x=6
or it can also be rearranged as y=3-(x-3)
Thus the equation of the line that passes through the two given points is y=3-(x-3)
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we draw 200 numbers from n(50, 10). we consider any number greater than 70 to be an outlier. using the empirical rule how many outliers do we expect to have in our sample of 200?
The empirical rule states that for a normal distribution, approximately 68% of the data will fall within one standard deviation of the mean.
Approximately 95% of the data will fall within two standard deviations of the mean, and approximately 99.7% of the data will fall within three standard deviations of the mean.
If we have a sample of 200 numbers drawn from a normal distribution with mean 50 and standard deviation 10, then using the empirical rule we would expect:
Approximately 68% of the data to fall between 50 - 10 = 40 and 50 + 10 = 60
Approximately 95% of the data to fall between 50 - 2 * 10 = 30 and 50 + 2 * 10 = 70
Since we consider any number greater than 70 to be an outlier, we would expect approximately 0.03 * 200 = 6 outliers in our sample of 200.
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1. Which of the following are in direct variation? i. Money deposited in the bank and interest earned on it. ii. Number of workers and the time taken to complete a work. iii. Area of land and its cost. iv. Distance travelled by a taxi and the fare charged
Answer:
Step-by-step explanation:
(i) We know that more is the number of workers to do a job, less is the time taken to finish the job.
So, it is a case of inverse proportion.
(ii) Considering uniform speed, as the distance to be travelled increases, the time taken to cover it will also increase.
So, this is a case of direct variation.
(iii) Clearly, more is the area of cultivated land, more is the crop harvested.
So, it is a case of direct proportion.
(iv) We know that the more will be the speed of the vehicle, the distance will be covered in lesser time.
So, it is a case of inverse proportion.
(v) Clearly, more is the population, less is the area of land per person in a country.
So, it is a case of inverse proportion.
Answer:
Step-by-step explanation:
If y = 27 when x = 6, write the direct variation equation. If y = -7 when x = -14, write the direct variation equation and find y when x = 20. If x = 8 when y = 4, write the direct variation equation and find y when x = 5. y = 1/6x; If x = 36 when y = 6, find x when y = 42. If y = -16 when x = 4, find x when y = 20.
How do you find the regression equation in summary statistics?
Summary statistics, especially the mean and covariance of the two variables, can be used to find the regression equation.
What is equation?In its most basic form, an equation is a mathematical statement that indicates that two mathematical expressions are equal. 3x + 5 = 14, for example, is an equation in which 3x + 5 and 14 are two expressions separated by a 'equal' sign.
Here,
In simple linear regression with one independent variable (x) and one dependent variable (y), the regression equation can be expressed as:
y = β0 + β1x
where β0 and β1 are the regression coefficients. The coefficients can be estimated using the following formulas:
β1 = covariance(x, y) / variance(x)
β0 = mean(y) - β1 * mean(x)
Here, covariance(x, y) is the covariance between the two variables, variance(x) is the variance of the independent variable x, mean(x) and mean(y) are the means of x and y, respectively.
These formulas assume that the data has been standardized (mean = 0, variance = 1) for convenience, but the results can be easily transformed back to the original scale by using the actual mean and variance of the data.
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23. dr. yantz, dr. darrough, and dr. wilson have decided to re-organize the pop-cubes. they have 5915 red cubes and 1715 blue cubes. they are going to put the cubes into bags in this way: a. each bag will have the same number of red cubes. b. each bag will have the same number of blue cubes. (note: the number of red cubes does not have to equal the number of blue cubes.) c. there will not be any cubes left over. what is the greatest number of bags that can be made, and what will each bag contain? show your reasoning
There can be a maximum of 1183 bags, each containing 5 red cubes and 5 blue cubes.
Let x be the number of red cubes in each bag and y be the number of blue cubes in each bag. Then, the number of red cubes in all bags is 5915/x, and the number of blue cubes in all bags is 1715/y.
Since the number of cubes in each bag is the same and there will not be any cubes left over, we must have 5915/x = 1715/y = z, where z is the number of bags.
To find the greatest value of z, we need to find the greatest common factor (GCF) of 5915 and 1715. We can use the Euclidean algorithm:
5915 = 1715 × 3 + 720
1715 = 720 × 2 + 275
720 = 275 × 2 + 170
275 = 170 × 1 + 105
170 = 105 × 1 + 65
105 = 65 × 1 + 40
65 = 40 × 1 + 25
40 = 25 × 1 + 15
25 = 15 × 1 + 10
15 = 10 × 1 + 5
10 = 5 × 2 + 0
The GCF of 5915 and 1715 is 5, so each bag will contain 5 red cubes and 5 blue cubes. The number of bags is z = 5915/5 = 1183.
Therefore, there can be a maximum of 1183 bags, each containing 5 red cubes and 5 blue cubes.
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para un experimento. La pieza de hierro pesaba 9 3/8 libras y la pieza de aluminio pesaba 7 1/8 libras. ¿Cuánto más pesó la pieza de hierro que la pieza de aluminio?
In mass, the weight more than aluminum that the iron piece weighs is 2 pounds
How to find the difference in weight ?First, convert the weight of the pieces to improper fractions by multiplying the denominator with the mixed portion of the fraction and then adding the numerator.
The weight of the iron piece is:
= ( 9 x 8 + 3 ) / 8
= 73 / 8 pounds
The weight of the aluminum piece is :
= ( 7 x 8 + 1 ) / 8
= 57 / 8 pounds
The difference in weight is:
= 73 / 8 - 57 / 8
= 16 / 8
= 2 pounds
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Three hundred students were surveyed about whether they are right- or left-handed.
Enter the correct answers in the boxes to complete the two-way relative frequency table.
Show Hints
7th graders
8th graders
TOTAL
Right-handed Left-handed TOTAL
0.89
0
0.05
0.49
1.00
The values of the spaces in columns are x,a,b,c,y which is equal to 0.46, 0.43, 0.06, 0.11, 0.51 respectively
How to find the values?Remember that the probability of the certainty of an event is equal to 1
Lethe spaces be labelled according to the table:
right hand left hand total
7th grade x 0.05 y
8th grade a b 0.49
Total 0.89 c 1.00
To find the value of y:
y + 0.49 = 1.00
Making y the subject of the relation
y = 1.00-0.49
y = 0.51
To find the value of x:
x + 0.05 = 0.51
Making x the subject of the formula
x = 0.51-0.05
x= 0.46
To find the value of a:
x+a = 0.89
0.46+a = 0.89
Making a the subject we have
a = 0.89-0.46
a = 0.43
To find the value of b:
0.43+b = 0.49
Making b the subject of the relation
b= 0.49-0.43
b= 0.06
To find the value of c:
0.89+c = 1.00
Collecting like terms
c = 1.00-0.89
c= 0.11
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what’s the y-int and y-int of the inequality 10x + 9y (> with a line) 180
The inequality equation is 10x + 9y ≥ 180 and the y-intercept is y ≥ 20 and the x-intercept is x ≥ 18
What is an Inequality Equation?Inequalities are the mathematical expressions in which both sides are not equal. In inequality, unlike in equations, we compare two values. The equal sign in between is replaced by less than (or less than or equal to), greater than (or greater than or equal to), or not equal to sign.
In an inequality, the two expressions are not necessarily equal which is indicated by the symbols: >, <, ≤ or ≥.
Given data ,
Let the inequality equation be represented as A
Now , the value of A is
10x + 9y ≥ 180 be equation (1)
On simplifying the equation , we get
To calculate the y-intercept , substitute the value of x = 0
when x = 0
9y ≥ 180
Divide by 9 on both sides of the equation , we get
y ≥ 20
To calculate the x-intercept , substitute the value of y = 0
when y = 0
10x ≥ 180
Divide by 10 on both sides of the equation , we get
x ≥ 18
Hence , the x and y intercepts are x ≥ 18 and y ≥ 20 respectively
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the type of research that quantifies observations and makes predictions about populations based on samples is referred to as .
Quantitative research is defined as research that quantifies observations and makes population predictions based on samples.
a research method that entails measuring variables with a numerical system, analysing these measurements with any of a number of statistical models, and reporting relationships and associations between the variables studied.
There are four main types of Quantitative research: Descriptive, Correlational, Causal-Comparative/Quasi-Experimental, and Experimental Research. attempts to establish cause- effect relationships among the variables. These designs are very similar to true experiments, but there are some significant differences.
The overarching goal of quantitative research is to investigate a specific topic or activity using quantitative methods.
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Two teams need to raise $100 each for their end-of-the-year field trips. Team A wants to sell popcorn at the Spring Fling Carnival, and Team B wants to sell cotton candy. It costs $15 to rent a popcorn machine, whereas it costs $25 to rent a cotton candy maker. The cost of additional supplies for the popcorn is $0.05 per bag, and the additional cost for the cotton candy is $0.10 per stick. Team A will sell the bags of popcorn for $0.75 each. Team B will sell the cotton candy for $0.80 per stick.
How many sticks of cotton candy will Team B need to sell to reach their goal?
The number of sticks of cotton candy Team B needs to sell to reach their goal is 125.
What is division?The division in mathematics is one kind of operation. In this process, we split the expressions or numbers into the same number of parts.
Given:
Two teams need to raise $100 each for their end-of-the-year field trips. Team A wants to sell popcorn at the Spring Fling Carnival,
and Team B wants to sell cotton candy.
It costs $15 to rent a popcorn machine,
whereas it costs $25 to rent a cotton candy maker.
The cost of additional supplies for the popcorn is $0.05 per bag,
and the additional cost for the cotton candy is $0.10 per stick.
Team A will sell the bags of popcorn for $0.75 each.
Team B will sell the cotton candy for $0.80 per stick.
The number of sticks of cotton candy Team B needs to sell to reach their goal is,
= 100/0.80
= 125
Therefore, the required number is 125.
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Which bank should Marco choose to get the most interest over the 3-year period?
Answer:
Bank Of Trust
Step-by-step explanation:
plese hurrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrry
Drag and drop the descriptions into the boxes to correctly classify each pair of numbered angles. Each description may be used more than once.
Put responses in the correct input to answer the question. Select a response, navigate to the desired input and insert the response. Responses can be selected and inserted using the space bar, enter key, left mouse button or touchpad. Responses can also be moved by dragging with a mouse.
Two lines intersecting making four angles with one labeling the left most angle and two labeling the right most angle directly opposite it Three lines intersected to make six angles with the top left angle labeled five and the top middle angle next to it labeled six
30 points
Answer:
1 and 2: Vertical angles
5 and 6: Adjacent angles
Step-by-step explanation:
In the first image, the two angles are opposite from each other and formed by the intersection of two lines, making 1 and 2 vertical angles.
In the second image, the two angles are right next to each other making 5 and 6 adjacent angles.
Vertical angles: opposite angles formed by the intersection of two lines
Adjacent angles: two angles that share a common vertex and a common side, but do not overlap
____ is a letter or a symbol that takes place of a value
Answer:
Variable
Step-by-step explanation:
Khalil is going to invest in an account paying an interest rate of 6.6% compounded daily. How much would Khalil need to invest, to the nearest dollar, for the value of the account to reach $1,470 in 9 years?
Answer:
$1,000 to the nearest dollar
Step-by-step explanation:
We can use the formula for compound interest to calculate the amount that Khalil would need to invest:
A = P * (1 + r/n)^(nt)
where A is the final amount, P is the initial amount (the amount invested), r is the interest rate as a decimal (6.6% = 0.066), n is the number of times compounded in a year (daily = 365), t is the number of years, and ^ is the exponent operator.
We want to find P, so we can rearrange the formula:
P = A / (1 + r/n)^(nt)
Plugging in the values:
P = $1,470 / (1 + 0.066/365)^(365 * 9)
Calculating this expression to the nearest dollar, we get P = $1,000.
So, Khalil would need to invest $1,000, to the nearest dollar, in order for the value of the account to reach $1,470 in 9 years
largest possible value of x and smallest possible value of x
If the mode is 1 , the largest number of x is 11
If the mode is 2, the smallest number of x is 13
What is mode?The mode of a set of data is the most frequent item in the set. For example , The mode of {4 , 2, 4, 3, 2, 2} is 2 because it occurs three times, which is more than any other number.
Therefore the mode of a set is the item that appeared most in the set.
In the table above , the table shows the number of students that read books
4 students reads 0 and 12 reads 1.
If 1 is the mode of the data, it means the highest possible value of x should be less than 12 l, which is 11.
If the mode is 2, the smallest number of x, should be greater than x which is 13
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pls help plssssss
it would really help
Sandeep started making oatmeal cookies at 9:48 A.M. It took him 1 hour and 13 minutes to make the dough and 2 hours and 20 minutes to bake all of the cookies. What time was it when Sandeep finished making cookies?
Each graph shows a linear function. Find an equation for it’s inverse and graph it’s inverse. The first one is done for you.
4. 5.
6. Examine the graphs you drew in problems 4 and 5. How does the dotted like y=x relate to the graphs of f(x) and f^-1(x)?
The inverses of the functions f(x) = x + 3 and f(x) = 2x + 4 are
y = x - 3 and x = (y + 4)/2.
What is an inverse function?First to be an inverse function that function needs to one to one function, meaning every different preimage must correspond to a different image.
We can obtain the inverse of a function by switching the variables x and y with their respective positions and solving for y in terms of x.
The first graph y = x + 3.
To find the inverse we'll solve for 'x'.
y = x + 3.
x = y - 3.
y = x - 3.
f⁻¹(x) = x - 3.
And,
y = 2x - 4.
2x = y + 4.
x = (y + 4)/2.
f⁻¹(x) = (x + 4)/2.
The graph of the function y = x + 3 is shifted 3 units up to y = x.
And the graph y = 2x - 4 is shifted 4 units down and is steeper than y = x.
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what would the order of these quadratic functions when they are arranged from the narrowest graph to the widest graph
The order of the graphs from the narrowest to the widest would be:
f(x) = ax², where |a| < |b| < |c|
f(x) = ax² + bx, where |a| < |b|
f(x) = ax² + bx + c, where |a| < |b| < |c|
Quadratic functions are mathematical functions that have a specific shape when plotted on a coordinate plane. The shape of a quadratic function is called a parabola and it opens either upwards or downwards.
When we compare the width of different parabolas, we can arrange them from the narrowest graph to the widest graph. The order is determined by the value of the coefficient in front of the x-squared term in the equation of the quadratic function. If the coefficient is positive, the parabola opens upwards, and if the coefficient is negative, the parabola opens downwards.
The width of the parabola can be calculated using the equation,
=> f(x) = ax² + bx + c,
where a is the coefficient in front of x-squared, b is the coefficient in front of x and c is the constant term. If the absolute value of the coefficient a is smaller, the graph will be narrower. If the absolute value of the coefficient a is larger, the graph will be wider.
Complete Question:
What would be the order of these quadratic functions when they are arranged from the narrowest graph to the widest graph?
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measuring the number of completed written homework assignments, or the number of completed arithmetic problems, or the number of thrown pencils is what type of measurement?
Quantitative measurement, as it involves counting or measuring numerical values
Quantitative measurement involves collecting and analyzing data that is expressed in numerical form. This type of measurement is often used to measure physical or behavioral characteristics, such as the number of completed written homework assignments, the number of completed arithmetic problems, or the number of thrown pencils. Quantitative measurement involves quantifying or assigning numerical values to certain characteristics. These numerical values are then used to compare different individuals or groups, or to measure changes over time. This type of measurement allows for reliable and valid data to be collected, which can be used to draw valid conclusions about the characteristics being measured.
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you may have found the limit from one side instead of from both sides as notated. how might you consider the limit as x approaches a from both sides?
LHL is equal to RHL then limit exist
LHL is not equal to RHL then limit does not exist.
As per the given data the graph of the function is given
Here we have to determine the limit at the indicated value of a, if it was exists.
You may have found the limit from one side instead of from both sides as notated.
Now we have to find:
[tex]$\lim _{x \rightarrow a} f(x)$[/tex] when a = 1
We find the left hand side limit and the right hand side limit at a = 1
So,
The Left hand limit is [tex]$\lim _{\mathrm{x} \rightarrow 1^{-}} \mathrm{f}(\mathrm{x})=\frac{3}{2}$[/tex]
The Right hand limit is [tex]$\lim _{x \rightarrow 1^{+}}[/tex] f(x) = 3
Here [tex]$\lim _{x \rightarrow 1^{-}} f(x) \neq \lim _{x \rightarrow 1^{+}} f(x)$[/tex]
Hence [tex]$\lim _{x \rightarrow a}[/tex] f(x) = DNE
From the graph we find the left hand limit and the right hand limit:
If Left hand limit = Right hand limit then limit exist
If then Left hand limit ≠ Right hand limit then limit does not exist.
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Use the graph of the given function f to determine the limit at the indicated value of a, if it exists.(If an answer does not exist, enter DNE.)
Graph attached at the end of solution
you may have found the limit from one side instead of from both sides as notated. how might you consider the limit as x approaches a from both sides?
The cross section of a prism is an n sided polygon.
Circle the number of edges that the prism has.
2n
n+2
n+ 3
3n
The number of edges that the prism has is
n + 2What does a prism's cross section look like?When a plane intersects a prism, the shape formed is known as the cross section. The cross section of the prism will have the same form as the base if it is divided by a plane that runs horizontally and parallel to the base.
A prism is a 3-dimensional object with two congruent and parallel bases (which are polyggonal) connected by rectangular lateral faces. The number of edges of a prism is equal to the sum of the number of edges of the two bases and the number of lateral faces.
Each base of the prism has n edges, so the two bases together have 2n edges. The number of lateral faces of the prism is equal to the number of edges of one of its bases, so there are n lateral faces. Each lateral face has 4 edges, so the total number of edges of the lateral faces is 4n.
Therefore, the total number of edges of the prism is equal to the sum of the number of edges of the two bases (2n) and the number of lateral faces (4n), which is 2n + 4n = 6n.
In conclusion, the cross section of a prism is an n-sided polygon and the prism has n + 2 edges.
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