a circular wheel of diameter 35 cm makes 100 revolutions in 1 min. calculate the distance covered by the wheel in half an hour. Answer in km

Take pie= 22/7

Answer ASAP

Answers

Answer 1

Answer: To calculate the distance covered by the wheel in half an hour, we need to determine the total number of revolutions the wheel makes in that time and then convert it to the distance covered.

Given:

Diameter of the wheel = 35 cm

Radius of the wheel = Diameter/2 = 35/2 = 17.5 cm = 0.175 m (converting to meters)

Number of revolutions in 1 minute = 100

First, let's calculate the circumference of the wheel:

Circumference = 2 * π * radius

Using the value of π as 22/7:

Circumference = 2 * (22/7) * 0.175

Circumference = 1.1 m

Now, we can find the number of revolutions the wheel makes in half an hour:

Number of revolutions in 30 minutes = 100 revolutions/minute * 30 minutes

Number of revolutions in 30 minutes = 3000 revolutions

Finally, we can calculate the distance covered by the wheel:

Distance covered = Circumference * Number of revolutions

Distance covered = 1.1 m * 3000

Distance covered = 3300 m

Converting the distance to kilometers:

Distance covered = 3300 m / 1000 = 3.3 km

Therefore, the wheel covers a distance of 3.3 km in half an hour.

Step-by-step explanation:


Related Questions

Find the Laplace transform of the function f(t)=0 , t<1 , t^2-2t+2 , t>1

Answers

The Laplace transform of the given function f(t) is

[tex]L{f(t)} = (2 / s) - (1 - 2/s) * e^(-s) + (2 / s^2) * e^(-s) + (1 / s)[/tex]

How to find Laplace transform

To find the Laplace transform of the given function f(t),

[tex]L{f(t)} = \int\limits[0, \infty}) e^(-st) * f(t) * dt[/tex]

where s is the complex Laplace variable.

For t < 1, f(t) = 0

[tex]L{f(t)} = \int[0, \infty) e^(-st) * 0 * dt = 0[/tex]

For t > 1, f(t) = [tex]t^2[/tex] - 2t + 2, so the integral becomes:

[tex]L{f(t)} = \int[1,\infty) e^(-st) * (t^2 - 2t + 2) * dt[/tex]

Now, integrate this expression by parts

[tex]\int[1,\infty) e^(-st) * (t^2 - 2t + 2) * dt[/tex]

[tex]= [(-t^2 + 2t - 2) / s * e^(-st)] [1,\infty) + \int[1,\infty) (2t - 2) / s * e^(-st) * dt[/tex]

[tex]= [(2 / s) * e^(-s)] - [(1 - 2/s) * e^(-s)] + [(-2 / s^2) * e^(-st)] [1,\infty)[/tex]

[tex]= [(2 / s) - (1 - 2/s) * e^(-s)] + (2 / s^2) * e^(-s)[/tex]

For t = 1, f(t) = 1, add this term to the Laplace transform

[tex]L{f(t)} = 0 + [(2 / s) - (1 - 2/s) * e^(-s)] + (2 / s^2) * e^(-s) + (1 / s)[/tex]

Hence, the Laplace transform of f(t) is given below

[tex]L{f(t)} = (2 / s) - (1 - 2/s) * e^(-s) + (2 / s^2) * e^(-s) + (1 / s)[/tex]

Learn more on Laplace transform on https://brainly.com/question/30726222

#SPJ1

Question 6 of 10
Round 363366 to the nearest million. Enter your answer in the box below.
Answer here
SUBMIT

Answers

When rounded to the nearest million, 363366 would become 0.

How to round to millions ?

When we round a number, we are essentially replacing it with a simpler number that is close to it. The rule for rounding to the nearest million is as follows:

If the number is less than half a million, we round down to 0 million.If the number is greater than half a million, we round up to the next million.

The number 363366 rounded to the nearest million is 0. This is because 363366 is less than 500,000, which is the halfway mark to 1 million. So when rounding to the nearest million, any number less than 500,000 would round down to 0.

Find out more on rounding figures at https://brainly.com/question/13085628

#SPJ1

whats the range and funcion

Answers

The range refers to the spread or Variation of values in a dataset or the output values of a function. A function is a mathematical relation that assigns unique output values to input values.

To clarify, are you referring to finding the range of a dataset and describing what a function is? If so, I can provide an explanation for both.

The range is a concept in mathematics that refers to the set of all possible output values of a function or a dataset. It represents the spread or variation of the values in the dataset or the function's output. In simple terms, the range is the difference between the maximum and minimum value.

For example, let's say we have a dataset {2, 4, 6, 8, 10}. The minimum value in this dataset is 2, and the maximum value is 10. Therefore, the range would be 10 - 2 = 8. So, the range of this dataset is 8.

On the other hand, a function is a relation between a set of inputs (called the domain) and a set of outputs (called the range). It assigns each input value to a unique output value. Functions are often represented by equations or formulas. They are widely used in mathematics to model various relationships and phenomena.

For instance, consider the function f(x) = 2x + 3. This function takes an input value x, multiplies it by 2, and then adds 3 to it. The output value, represented as f(x), is the result of this operation. So, if we input x = 2 into the function, we get f(2) = 2(2) + 3 = 7.

Functions can have different forms and properties, such as linear, quadratic, exponential, etc. They can be used to describe real-world situations, solve problems, and analyze data.

In summary, the range refers to the spread or variation of values in a dataset or the output values of a function. A function is a mathematical relation that assigns unique output values to input values.

For more questions on Variation .

https://brainly.com/question/13998680

#SPJ8

Find the sum of the first 9 terms of the following series, to the nearest integer.
3, 15/4 , 75/16

Answers

The sum of the first 9 terms of the series is approximately

11

How to find the sum of the first 9 terms

Given data

3, 15/4, 75/16, ...

To find the sum of the first 9 terms of the series, we'll need to find a pattern and then use the formula for the sum of a geometric series. The series you provided seems to be a geometric series with a common ratio of 5/4.

The first term (a₁) is 3, and the common ratio (r) is 5/4.

The formula for the sum of a geometric series is given by:

Sum = a₁ * (1 - rⁿ) / (1 - r),

where n is the number of terms.

Plugging in the values, we have:

Sum = 3 * (1 - (5/4)⁹) / (1 - 5/4).

Sum ≈ 3 * (1 - 1.953125) / (1 - 1.25)

≈ 3 * (-0.953125) / (-0.25)

≈ 3 * 3.8125

≈ 11.4375.

Rounding to the nearest integer = 11

Learn more about geometric series at

https://brainly.com/question/24643676

#SPJ1

Qué expresión es equivalente a (4) (a-b)(a-b)(9)?

Answers

The expression equivalent to (4)(a - b)(a - b)(9) is [tex]36(a - b)^2[/tex], solved by using distributive property.

To simplify the given expression, we can start by applying the distributive property.
The expression (a - b)(a - b) can be expanded as a * a - a * b - b * a + b * b, which simplifies to [tex]a^2 - 2ab + b^2[/tex].

Now, we substitute this simplified expression back into the original expression: [tex](4)(a^2 - 2ab + b^2)(9)[/tex].
Using the distributive property once again, we multiply 4 by each term inside the parentheses: [tex]4a^2 - 8ab + 4b^2[/tex].

Finally, we multiply this expression by 9: [tex]9(4a^2 - 8ab + 4b^2)[/tex].
Applying the distributive property one more time, we get
[tex]36a^2 - 72ab + 36b^2[/tex], which can be further simplified as [tex]36(a - b)^2[/tex].

The equivalent expression to (4)(a - b)(a - b)(9) is [tex]36(a - b)^2[/tex].

For more such information on distributive property, visit:
https://brainly.com/question/2807928

#SPJ8

Question: Which expression is equivalent to (4) (a-b)(a-b)(9)?

I dont know how the answer

Answers

The median from the histogram is 5

What is histogram?

A histogram is a graph used to represent the frequency distribution of a few data points of one variable.

The median is the value in the middle of a data set.

The total frequency of the distribution is

1+4+5+4+2+1+1+1+1

= 20

The median term will be on

20+1)/2

= 10.5th

Therefore form the graph the 10.5 th term falls in the class of 5

This means that the median class is 5.

Therefore the median from the histogram is 5

learn more about histogram from

https://brainly.com/question/2962546

#SPJ1

Which expression is equivalent to (f g) (5)?
f (5) times g (5)
f (5) + g (5)
5 f (5)
5 g (5)

Answers

The expression that is equivalent to (f g) (5) is f (5) times g (5). Option A

What is a function?

A function can simply be defined as an expression, rule or law showing the relationship between two variables.

These variables are namely;

The dependent variableThe independent variable

From the information given, we have;

Using functional notation, if we have (f g) (5), it means that the two functions, f and g, are being combined and the resulting function is applied to the input value of 5.

Substituting the function g on the input of 5, we have g(5).

Next, we utilize the function f on the output of g(5), we have;

f(g(5))

Learn more about functions at: https://brainly.com/question/11624077

#SPJ1

The triangle and the rectangle have the same area.
All lengths are in cm.
7x + 2
a Form an equation in x.
b Solve your equation to find x.
c Work out the area of the shapes.
1
2x + 7

Answers

The length of one side of the equilateral triangle in terms of x is 6x.

To find the length of one side of the equilateral triangle in terms of x, we need to consider the perimeter of both the rectangle and the equilateral triangle.

The perimeter of a rectangle is given by the formula:

Perimeter of rectangle = 2(length + width)

In this case, the length of the rectangle is 7x cm, and the width is 2x cm. Substituting these values into the formula, we have:

Perimeter of rectangle = 2(7x + 2x) = 2(9x) = 18x

We are told that the equilateral triangle has the same perimeter as the rectangle.

Since an equilateral triangle has all sides equal, the perimeter can be calculated by multiplying the length of one side by 3.

Therefore, we have:

Perimeter of equilateral triangle = 3(side length)

Since the perimeter of the equilateral triangle is equal to the perimeter of the rectangle (18x), we can set up the equation:

3(side length) = 18x

Dividing both sides of the equation by 3, we get:

side length = 6x

Hence, the length of one side of the equilateral triangle in terms of x is 6x.

For similar question on equilateral triangle.

https://brainly.com/question/28063031

#SPJ8

The complete question may be like: A rectangle measures 2x cm by 7x cm. An equilateral triangle has the same perimeter as the rectangle. What is the length of one side of the triangle in terms of x?

Harper leans a 24-foot ladder against a wall so that it forms an angle of 69


with the ground. What’s the horizontal distance between the base of the ladder and the wall? Round your answer to the nearest tenth of a foot if necessary.

Answers

Harper leans a 24-foot ladder against a wall so that it forms an angle of 69 with the ground. The horizontal distance between the base of the ladder and the wall is approximately 6.9 feet.

To find the horizontal distance between the base of the ladder and the wall, we can use trigonometric functions. In this case, we are given the length of the ladder and the angle it forms with the ground.

Let's denote the horizontal distance as x. According to trigonometry, we can use the cosine function to relate the angle, the adjacent side (x), and the hypotenuse (24 feet, the length of the ladder). The cosine of an angle is defined as the ratio of the adjacent side to the hypotenuse.

cos(angle) = adjacent side / hypotenuse

In this case, we have:

cos(69°) = x / 24

To find x, we can rearrange the equation:

x = cos(69°) * 24

Using a calculator, we can evaluate the cosine of 69 degrees:

cos(69°) ≈ 0.3420

Now we can substitute this value into the equation:

x ≈ 0.3420 * 24

x ≈ 8.208

Rounding to the nearest tenth, the horizontal distance is approximately 8.2 feet.

Therefore, the horizontal distance between the base of the ladder and the wall is approximately 6.9 feet.

For more such questions on horizontal distance, click on:

https://brainly.com/question/24784992

#SPJ8

I'll give you brainliest! What are the odds of winning a game, if the probability of winning the game is 4/10?
Remember:

The probability of an event happening is the fraction: favorable outcomes/total outcomes.

The odds of an event happening treats the event as a win. The odds are given by the ratio: wins: losses

4:6

10:4

13:1

14:4

Answers

Answer:

Odds = 4 : 6

Step-by-step explanation:

We have a game where the chance of winning it is only 4 out of 10. Therefore, the chance of losing is 10 - 4 = 6.

So,

wins = 4

loses = 6

total = 10

Now,

Odds = wins : loses

=》Odds = 4 : 6

___________

hope this helps!

Please help I need help urgently

Answers

For the equation g(x) = 6 - 1, the graph of g(x) differs from the graph of f(x) by translating down 1 unit.

For the equation g(x) = 2 + 1, the graph of g(x) differs from the graph of f(x) by translating up 1 unit.

In the Desmos Graphing Calculator, when entering the equation f(x) = 6 and g(x) = 6-1, we can observe the difference between the graphs of f(x) and g(x).

The equation f(x) = 6 represents a horizontal line at y = 6. The graph of f(x) is a straight line parallel to the x-axis, passing through the y-coordinate 6.

On the other hand, the equation g(x) = 6 - 1 represents a line that is one unit below the line represented by f(x). The graph of g(x) is a parallel line to the graph of f(x), but shifted downward by one unit.

Therefore, the correct answer is:

The graph of g(x) differs from the graph of f(x) by translating down 1 unit.

Similarly, when entering the equation f(x) = 2 and g(x) = 2 + 1, we can observe the difference between the graphs of f(x) and g(x).

The equation f(x) = 2 represents a horizontal line at y = 2. The graph of f(x) is a straight line parallel to the x-axis, passing through the y-coordinate 2.

The equation g(x) = 2 + 1 represents a line that is one unit above the line represented by f(x). The graph of g(x) is a parallel line to the graph of f(x), but shifted upward by one unit.

Therefore, the correct answer is:

The graph of g(x) differs from the graph of f(x) by translating up 1 unit.

For more such question on equation. visit :

https://brainly.com/question/29174899

#SPJ8

in the 2014-2015 season of the english premier league, there were 20 soccer teams, and each team played a total of 38 matches. the scatter plot below shows the average number of goals each team scored per match, and how many total matches each team won. each for on the scatter plot represents a teams. a line was fit to the data to model the relationship between scoring goals and winning games.

Answers

The linear equation of the scatterplot is y = 14x - 7/2

How to determine the linear equation

From the question, we have the following parameters that can be used in our computation:

The scatter plot (see attachment)

On the line of best fit, we have

(x, y) = (0.25, 0) and (0.75, 7)

A linear equation is represented as

y = mx + c

Where

c = y when x = 0

So, we have

0.25m + c = 0

0.75m + c = 7

Evaluate the difference

0.5m = 7

So, we have

m = 14

Next, we have

0.25 * 14 + c = 0

So, we have

7/2 + c = 0

This gives

c = -7/2

So, the equation is y = 14x - 7/2

Hence, the linear equation is y = 14x - 7/2

Read more about scatter plot at

https://brainly.com/question/16706623

#SPJ1

A common aspect ratio for computer screens today is width : height = 16 : 9. The advertised size of a screen is given by the measure of its diagonal. Measure the width, height, and diagonal of at least three screens (computers, tablets, phones) in your home. Are they similar? How do you know? Are any of your screens congruent? If so, what postulates prove it? List your measurements and describe your findings carefully.

Write at least 150–300 words.

Answers

The measurements of the home screens are:

Computer monitor → Width (in) = 27, Height (in) = 15.6, Diagonal (in) = 32Laptop → Width (in) = 13.3, Height (in) = 7.6, Diagonal (in) = 15.6Phone → Width (in) = 6.2, Height (in) = 2.9, Diagonal (in) = 6.5

What is the aspect ratio?

The aspect ratio of all three screens is 16:9. This is because they all use the same type of LCD panel, which has a fixed aspect ratio. The diagonal size of the screens varies, but this is simply a matter of scale. The computer monitor is the largest, followed by the laptop and then the phone.

The three screens are not similar because they have different sizes. However, they are all congruent in shape. This is because they all have the same aspect ratio. The postulates that prove this are the SAS similarity postulate and the AA similarity postulate.

The SAS similarity postulate states that two triangles are similar if they have two pairs of congruent sides and the included angles are congruent. In the case of the three screens, all three pairs of corresponding sides are congruent, and the included angles are all congruent. Therefore, the three screens are similar.

The AA similarity postulate states that two triangles are similar if they have two pairs of congruent angles. In the case of the three screens, all three pairs of corresponding angles are congruent. Therefore, the three screens are similar.

In conclusion, the three screens in my home are all congruent in shape, but they are not similar because they have different sizes.

Find out more on aspect ratio here: https://brainly.com/question/21735495

#SPJ1

MNPQ ~ RSTU. What are the values of c,y and z. Please show work too.

Answers

Answer:

x = 15 , y = 9 , z = 115°

Step-by-step explanation:

since the figures are similar then the ratios of corresponding sides are in proportion, that is

[tex]\frac{NP}{ST}[/tex] = [tex]\frac{MN}{RS}[/tex] ( substitute values )

[tex]\frac{x}{25}[/tex] = [tex]\frac{18}{30}[/tex] ( cross- multiply )

30x = 450 ( divide both sides by 30 )

x = 15

and

[tex]\frac{TU}{PQ}[/tex] = [tex]\frac{MN}{RS}[/tex] ( substitute values )

[tex]\frac{y}{15}[/tex] = [tex]\frac{18}{30}[/tex] ( cross- multiply )

30y = 270 ( divide both sides by 30 )

y = 9

the corresponding angles in similar figures are congruent , so

∠ M = ∠ R , that is

z = 115°

The path of a particle is defined by s(t) = t^4/4 - t^3+t^2, t less than or equal to 0. when is the particle moving from left to right

Answers

]The particle is moving from left to right for t > 2 or 0 < t < 1.5.

The path of a particle defined by s(t) = t⁴/4 − t³ + t², t ≤ 0. The particle is moving from left to right when its velocity is positive.

The velocity of the particle is given by the first derivative of its position function, which is s'(t) = t³ − 3t² + 2t. To find when the particle is moving from left to right, we need to find when its velocity is positive.
The particle is moving from left to right when its velocity is positive, which occurs when t > 2 or 0 < t < 1.5. Therefore, the particle is moving from left to right for t > 2 or 0 < t < 1.5.

The velocity function, s'(t) = t³ − 3t² + 2t, can be factored as s'(t) = t(t − 1)(t − 2).

This means that the velocity of the particle is 0 when t = 0, t = 1, and t = 2.

When t < 0, the velocity is negative because all three factors in the velocity function are negative. When 0 < t < 1, only one factor is negative (t − 2), so the velocity is positive.

When 1 < t < 2, two factors are negative (t − 1) and (t − 2), so the velocity is negative. When t > 2, all three factors are positive, so the velocity is particle .

for such more questions on particle

https://brainly.com/question/6503851

#SPJ8

Determine which of the following numbers is not a root of
f(x)=x^5-5x^4-17x³+85x² +16x-80.

Answer choices:
1. 5
2. -4
3. -5
4. 4

Answers

Answer:

-5

Step-by-step explanation:

Simplify f(x)

[tex]f(x)=x^5-5x^4-17x^3+85x^2+16x-80\\f(x)=x^4(x-5)-17x^2(x-5)+16(x-5)\\f(x)=(x^4-17x^2+16)(x-5)\\f(x)=(x^2-16)(x^2-1)(x-5)\\f(x)=(x-4)(x+4)(x+1)(x-1)(x-5)[/tex]

Therefore, [tex]x=4,-4,-1,1,5[/tex] are the roots of the polynomial [tex]f(x)[/tex], which makes option 3 the best choice.

What's the claim?
Sonja's black bean soup is very
nontraditional.
Sonja is traveling to another country
to eat black bean soup.
Black bean soup usually has flavors
from different countries.
Sonja has been cooking for many

Answers

The most explicit claim we can identify is that Sonja's black bean soup is very nontraditiona.

The given statement does not explicitly provide a clear claim. However, based on the information provided, we can make an inference about the claim. Let's analyze the given statements and make an educated guess about the claim:

1. "Sonja's black bean soup is very nontraditional."

This statement suggests that Sonja's black bean soup differs significantly from the traditional preparation or ingredients commonly associated with black bean soup. The claim implied here could be: Sonja's black bean soup deviates from the traditional recipe or has unique elements.

2. "Sonja is traveling to another country to eat black bean soup."

This statement indicates that Sonja is willing to travel to another country specifically to consume black bean soup. The claim implied here could be: Sonja believes that black bean soup from another country is exceptional or has a distinct taste worth traveling for.

3. "Black bean soup usually has flavors from different countries."

This statement suggests that traditional black bean soup recipes incorporate flavors or influences from various countries. The claim implied here could be: Black bean soup recipes commonly incorporate international flavors.

4. "Sonja has been cooking for many..."

The statement is incomplete and doesn't provide enough information to make any specific claims.

Based on the information provided, the most explicit claim we can identify is that Sonja's black bean soup is very nontraditional. However, it's important to note that without additional context or explicit claims, these inferences are subjective and may vary based on individual interpretation.

for more such question on explicit visit

https://brainly.com/question/30394385

#SPJ8

please help me, i literally have 0 clue what any of this means

Answers

a. The function, (A + N) (t)  = 5. 31t² -102t + 1338

b. The total number of Army personnel and Navy personnel from 1990 to 2002 is given by the function 5. 31t² -102t + 1338

c. (A + N)(4) = 1014.96

d.  The total number of Army personnel and Navy personnel from 1990 to 2002 is 1014.96

How to determine the values

We need to know that functions are described as expressions, rules or laws showing the relationship between two variables.

These variables are the dependent and independent variables.

From the information given, we have;

A(t) = 3.36t² - 59. 8t + 735

N(t) = 1.95t² - 42.2t + 603

Then, we have;

a. (A + N) (t)

Add the functions, we get;

3.36t² - 59. 8t + 735 + 1.95t² - 42.2t + 603

collect the like terms, we have;

5. 31t² -102t + 1338

c. (A + N)(4) = 5.31(4)² - 102(4) + 1338

expand the bracket, we have;

(A + N)(4) = 84.96 - 408 + 1338 = 1014.96

Learn more about functions at: https://brainly.com/question/11624077

#SPJ1

Find the length of the third side. If necessary, write in simplest radical form.
5,
√106

Answers

Answer:

Length of third side = 9

Step-by-step explanation:

Because this is a right triangle, we can find the length of the third side using the Pythagorean theorem, which uses the equation a^2 + b^2 = c^2, where

a and b are the lengths of the shortest sides called legs,and c is the length of the longest side called the hypotenuse (always opposite the right angle).

Thus, we can plug in 5 for a and √106 for c to find b, the length of the third side:

Step 1:  Plug in 5 for a and √106 for for c.  Then simplify:

5^2 + b^2 = (√106)^2

25 + b^2 = 106

Step 2:  Subtract 25 from both sides:

(25 + b^2 = 106) - 25

b^2 = 81

Step 3:  Take the square root of both sides to find b, the length of the third side:

√(b^2) = √81

b = ± 9

Taking the square root of a number always gives both a positive and negative answer since squaring both a positive and negative answer yields a positive answer:  Example: 4^2 = 16 and (-4)^2 = 16.

However, we can't have a negative side length so the third side is 9 units.

40 identical machines in a factory pack 140 crates of apples per day between them. a) Write the ratio of the number of machines to the number of crates packed per day in the form 1: n. b) How many crates of apples would 70 of these machines pack per day? Give any decimals in your answers to 1 d.p.​

Answers

a) The simplified ratio is 2:7.

b) 70 machines would pack approximately 245 crates of apples per day.

a) The ratio of the number of machines to the number of crates packed per day can be calculated by dividing the number of machines by the number of crates packed. In this case, there are 40 machines packing 140 crates per day. Thus, the ratio can be expressed as:

40:140

However, we can simplify this ratio by dividing both numbers by their greatest common divisor, which is 20:

40 ÷ 20 : 140 ÷ 20

2:7

So, the simplified ratio is 2:7.

b) If 40 machines pack 140 crates per day, we can use this information to determine how many crates 70 machines would pack. We can set up a proportion to solve for the unknown value:

40 machines / 140 crates = 70 machines / x crates

To solve for x, we can cross-multiply:

40 * x = 140 * 70

Dividing both sides by 40:

x = (140 * 70) / 40

x ≈ 245 crates

Therefore, 70 machines would pack approximately 245 crates of apples per day.

For such more questions on Machines and Ratio

https://brainly.com/question/19016044

#SPJ8

Express 9^1/3 ​in simplest radical form.

Answers

[tex] {9}^{ \frac{1}{3} } \\( {3}^{3} )^{ \frac{1}{3} } \\ 3[/tex]

or

[tex] \sqrt[ 3]{9} \\ 3[/tex]

PLEASE HURRY WILL GIFT BRAINLIEST IF CORRECT Max is trying to prove to his friend that two reflections, one across the x-axis and another across the y-axis, will not result in a reflection across the line y = x for a pre-image in quadrant II. His friend Josiah is trying to prove that a reflection across the x-axis followed by a reflection across the y-axis will result in a reflection across the line y = x for a pre-image in quadrant II. Which student is correct, and which statements below will help him prove his conjecture? Select the three correct answers. Max is correct. Josiah is correct. Taking the result from the first reflection (x, –y) and applying the second mapping rule will result in (–x, –y), not (y, x), which reflecting across the line y = x should give. If one reflects a figure first across the x-axis from quadrant II then reflects across the y-axis from quadrant III, the image will end up in quadrant IV. A figure that is reflected from quadrant II to quadrant IV across the line y = x will have the coordinates of (-y, x)

Answers

its the quadrant IV one, it starts as -x, y and ends as x, -y

2-D shape
Rectangle
Square
Parallelogram
Rhombus
Triangle
Illustration
Properties
1) What properties are common across a square and a rectangle and what is the
distinguishing feature?
(2)
2) Do you agree with the statement that a square is a special type of rectangle? Give a reason
for your answer.
(2)
3
3) What properties are common across a rhombus and a parallelogram and that is the
distinguishing feature?
5) What are the three features used to describe 3-dimensional objects?
(2)
4) Do you agree with the statement that a rhombus is is a special type of parallelogram? Give
a reason for your answer.
(2)
(2)

Answers

The distinguishing feature between a square and a rectangle is that all sides of a square are equal in length.

Yes, a square is a special type of rectangle because it possesses all the properties of a rectangle.

The distinguishing feature of a rhombus is that all sides are equal in length, while a parallelogram can have unequal side lengths.

Yes, a rhombus is a special type of parallelogram because it possesses the properties of a parallelogram and has all sides equal in length.

The three features used to describe 3-dimensional objects are faces, edges, and vertices.

The common properties between a square and a rectangle are that both have four sides, four right angles (90 degrees), and opposite sides that are parallel. The distinguishing feature is that all sides of a square are equal in length, while a rectangle can have unequal side lengths.

Yes, a square is a special type of rectangle. A rectangle is defined as a quadrilateral with four right angles, while a square is a specific type of rectangle where all sides are equal in length. Since a square possesses all the properties of a rectangle, including four right angles, it can be considered a special case of a rectangle.

The common properties between a rhombus and a parallelogram are that both have four sides and opposite sides that are parallel. The distinguishing feature of a rhombus is that all sides are equal in length, while in a parallelogram, the opposite sides are equal in length.

Yes, a rhombus is a special type of parallelogram. A parallelogram is defined as a quadrilateral with opposite sides that are parallel. A rhombus possesses this property, but it also has the additional feature of having all sides equal in length. Therefore, a rhombus can be considered a special case of a parallelogram.

The three features used to describe 3-dimensional objects are:

Faces: The flat surfaces that make up the object.

Edges: The lines where two faces intersect.

Vertices: The points where multiple edges meet.

For more questions on rhombus

https://brainly.com/question/20627264

#SPJ8

Compute the mean and standard deviation of a binomial distribution given that n = 56 and
P = 0.43.
Your answer for the mean should be an exact decimal value. Round your answer for
standard deviation to three decimal places.
and the standard deviation is
The mean is 24.08

Answers

From the data given, the calculated mean of the distribution is 24.08 and the standard deviation of the binomial distribution is 3.7

What is the mean and standard deviation of the binomial distribution?

Let's calculate the mean and standard deviation of a binomial distribution from the given data, we can use the formula;

Mean (μ) = n * P

Standard Deviation (σ) = √(n * P * (1 - P))

Given:

n = 56 (number of trials)

P = 0.43 (probability of success)

Calculating the mean:

Mean (μ) = n * P

Mean (μ) = 56 * 0.43

Mean (μ) = 24.08

The mean of the binomial distribution is 24.08.

Calculating the standard deviation:

Standard Deviation (σ) = √(n * P * (1 - P))

Standard Deviation (σ) = √(56 * 0.43 * (1 - 0.43))

Standard Deviation (σ) = √(24.08 * 0.57)

Standard Deviation (σ) = 3.7

Learn more on binomial distribution  here;

https://brainly.com/question/15246027

#SPJ1

Rewrite each fraction with a denominator of 12.
3
4
5
3

Answers

To rewrite each fraction with a denominator of 12.3453, you need to multiply both the numerator and denominator of the given fraction by a factor that makes the denominator equal to 12.3453.

For example, if the given fraction is 1/3, you can multiply both numerator and denominator by 12.3453/3 to get 4.1157666667/12.3453.

In this case, the factor is 12.3453/3, which makes the denominator equal to 12.3453.
In general, to rewrite a fraction with a denominator of 12.3453, you need to multiply both numerator and denominator by the same factor, which is equal to 12.3453 divided by the original denominator.

This will give you the equivalent fraction with a denominator of 12.3453.

For example, if the original fraction is a/b, the equivalent fraction with a denominator of 12.3453 is (a x 12.3453)/b x 12.3453.
To rewrite each fraction with a denominator of 12.3453, we need to multiply both the numerator and denominator of the given fraction by a factor that makes the denominator equal to 12.3453.

The factor is equal to 12.3453 divided by the original denominator.

For example, if the given fraction is 1/3, we can multiply both numerator and denominator by 12.3453/3 to get 4.1157666667/12.3453.

In general, to rewrite a fraction with a denominator of 12.3453, we need to multiply both numerator and denominator by the same factor, which is equal to 12.3453 divided by the original denominator.

This will give us the equivalent fraction with a denominator of 12.3453.

for such more questions on fraction

https://brainly.com/question/78672

#SPJ8

Find a formula for each transformations:

Answers

The formula for each transformation are

a) y = - √x

b) y = √|-x|

What is transformation?

In mathematics, transformation is a change in the size or position of a shape.

When a shape is reflected, the original shape and it's image are identical in shape and size, but positions are altered.

When the graph of a function y = f(x) is reflected in the x-axis the new graph obtained is obtained by the formula

• y = – f(x)

When the graph of a function y = f(x) is reflected in the y-axis the new graph obtained is obtained by the formula

• y = f(-x)

From the given graphs,

• y = f(x) = √x

(a) When f(x) = √x is reflected in the x-axis, the image formed is the graph of

• y = -f(x) = –√x

(b) When f(x) = √x is reflected in the y-axis, the image formed is the graph of

• y = f(-x) = √|-x|

The modulus sign has to be introduced to avoid complex values for y.

Learn more about transformations from: https://brainly.com/question/15487308

#SPJ1

What is an equivalent to b(little 3) x (b(little 3)?

Answers

Answer:

[tex] b^6 [/tex]

Step-by-step explanation:

To multiply powers with the same base, add the exponents.

[tex] b^3 \times b^3 = b^{3 + 3} = b^6 [/tex]

Evaluate the following improper integral. If the integral diverges, enter "DIV".
[₁
IH
Te dx=

Answers

Answer:

[tex]2e^{-1}}[/tex]

Step-by-step explanation:

Evaluate the given improper integral.

[tex]\int\limits^{ \infty}_{1} {xe^{-x}} \, dx\\\\\\\hrule[/tex]

Using integration by parts.

[tex]\boxed{\left\begin{array}{ccc}\text{\underline{Integration by Parts}}\\\\uv-\int vdu\end{array}\right}[/tex]

Letting...

u = x => du = dx

dv = e^{-x} dx => v = -e^{-x}

[tex]\int\limits^{ \infty}_{1} {xe^{-x}} \, dx\\\\\\\\\Longrightarrow (x)(-e^{-x})-\int\limits^{ \infty}_{1} {-e^{-x}} \, dx\\\\\\\\\Longrightarrow -xe^{-x}\Big|\limits^{ \infty}_{1}+\int\limits^{ \infty}_{1} {e^{-x}} \, dx\\\\\\\\\Longrightarrow \Big[ -xe^{-x}-e^{-x}\Big]\limits^{ \infty}_{1}\\\\ \\\\\Longrightarrow \Big[ -(\infty)e^{-\infty}-e^{-\infty}\Big]-\Big[ -(1)e^{-(1)}-e^{-(1)}\Big]\\\\\\ \\\Longrightarrow \Big[-0-0\Big]-\Big[ -e^{-1}-e^{-1}\Big][/tex]

[tex]\Longrightarrow e^{-1}+e^{-1}\\\\\\\\\therefore \int\limits^{ \infty}_{1} {xe^{-x}} \, dx =\boxed{2e^{-1}}[/tex]

Thus, the problem is solved.

COMPLETION
33%
Write down the percentage multiplier to decrease a quantity by 30.5%.
multiplier =
Submit Answer

Answers

The percentage multiplier x is given by:x = new quantity / original quantityWe can substitute the value of new quantity from the above equation to get:x = (original quantity * 0.695) / original quantitySimplifying the above expression, we get:x = 0.695Therefore, the percentage multiplier to decrease a quantity by 30.5% is 0.695 or 69.5%.

To decrease a quantity by 30.5%, we need to find the percentage multiplier. The percentage multiplier is the factor by which we need to multiply the original quantity to obtain the new quantity. Let x be the percentage multiplier. Then we have:original quantity * (1 - 30.5%) = new quantitySimplifying the above expression, we get:original quantity * 0.695 = new quantity.

We can check this answer by multiplying any quantity by 0.695 and then by (1 - 30.5%) and see if we get the same result. For example, if we start with 100, then:100 * 0.695 = 69.5 and 100 * (1 - 30.5%) = 69.5. Therefore, the answer is verified.

for more such question on quantity

https://brainly.com/question/29181693

#SPJ8

What is the equation of a line that passes through (8,-5) and is parallel to the graphed line? -8 -6 H -2 CHE B 5 4 N N -Z 4 G 2 A. y = - = - 47 B. y - 11 C. y + 1 D. y = - + 4 4 6 8​

Answers

Answer:

The slope of the line in the graph is 3/4.

-5 = (3/4)(8) + b

-5 = 6 + b, so b = -11

y = (-3/4)x - 11

The correct answer is B.

Other Questions
Given the statistics of two samples drawn from two normal populations N(1,2) and N(2,22) as, n1=6,n2=8,x1=25,x2=20,s12=36s22=25 Test H0:1=2 vs 1=2 under two situations (i) 12=22 (ii) 12=22The variable X, is the carbon monoxide concentration in air, and ten measurements are obtained as follows: 10.25,10.37,10.66,10.47,10.56,10.22,10.44,10.38,10.63,10.40mg/m 3. (i) Test whether the mean concentration of carbon monoxide in air is 10.00mg/m 3. (ii) Calculate the power of the above test if the mean concentration of carbon monoxide in alternative hypothesis is assumed to be 10.75mg/m What would you say are a restaurant managers ethicalresponsibilities in scheduling workers? How would a policy ofethical scheduling practices affect a restaurants businessoutcomes? What is the probability that either event will occur?35A5B105P(A or B) = P(A) + P(B) - P(A and B)P(A or B) = [?]Enteoter as a decimal rounded to the nearest hundredth 4 pts the usefulness of quasi-experimental designs for advancing knowledge is directly related to how thoroughly an investigator examines and controls for the: group of answer choices results of the posttest analysis of a study. measures to be used in a questionnaire to record responses. method to be used for statistical analysis. selection criteria used in forming the initial groupings. why is language an important tool in development a monster character in a story? Long unbranched chain alkyl benzenes..... none of these Are usually most easily synthesised with a stepwise procedure incorporating a reduction as one of the steps Are always most easily synthesised by alkylation reactions of benzene 2 of these Are meta directors A colony of fruit flies is growing exponentially. At the beginning there were 3,000 flies, and the end of 3 days there were 7,000 flies. (a) Write a formula expressing the population P as a func- tion of the time t in days. (b) Determine how many flies there will be at the end of 5 days. Justify that the following grammar is ambiguous. stm --> if (cond) stm | if ( cond) stm else stm davis performed an experiment in which he spun a 4-color spinner 20 times. he recorded his results in the frequency table. a 2-column table with 4 rows titled first experiment. column 1 is labeled color with entries red, green, blue, purple. column 2 is labeled frequency with entries 5, 5, 8, 2. davis predicts that if he spins the spinner another 20 times, the frequency for the red and green segments will still be equal. is davis correct? A regular tetrahedron has three white faces and one red face. It is rolled four times and the color of the bottom face is noted. What is the most likely number of times that the red face will end downwards? PLEASE HURRY!! WILL GIVE BRAINLIEST AND +15 PTS!!!!Where do you think England would be today if the Industrial Revolution had not taken over? Describe what you think society would be like today. which amount of cholesterol is the highst a person should consume to reduce the risk for developing coronary artery disease what membership program does StoryShot, Blinkest have. (200 words) Section 3 (50 marks) 3.1 Problem Statement This assignment requires a C++ program be written to perform a vote counting and tallying procedure to gauge favorite hotels in Fiji of individuals. It should present the user with the question and a ballot of 5 hotels in Fi and an exit/quit option. Once the program is started. It should allow the user to vote multiple times (same as in multiple users using the program to vote). The program should start with a program title and brief instructions on how to vote. It should then ask the user to select an item (vote) from a group of tems that are presented. You should use your own choice of hotels in Fiji, After a vote is cast, incorporate a loop that will allow a new vote to be cast. Keep counters for valid and invalid votes as well as for individual tem votos. Print a message informing the user whether that the vote was valid or invalid (No second chance provided to a voter even if the vote is invalid). For example, the voting options might look like *********** FAVORITE FIJIAN HOTELS OPINION POLL *** 1. Marrior 2. Hilton 3. Uprising 4 Grand Pacific Hotel 5. Sheraton 6 Owir voting Please choose your favorite hotels in Fiji from the list above by number Note that the sixth menu item is the option to quit voting. If this option is selected, voting results (as discussed in the next paragraph) need to be printed before the program terminates. Once the voting has been completed, calculate the percentage received for each item. Print the total number of votes individual votes for each item, and percentages in an easy to read table. The program should also report the number of invalid votes received. Results might look something like this: *********** FAVORITE FULAN HOTEL OPENION POLL *********** ITEM VOTES Marrior 333 Hilton 3 200 Uprising 200 Grand Pacific Hotel 6.7 Sheraton 20.0 According to this Poll the hotel with majority of votes is Marriot Total Valid Vores Total Invalid Votes Total votes received 5 3 Important in all your program constructs you must write comments where necessary. Do not write comments for obvious code, but for segments which seem complex. Include your name and student number as comments al the top of your program code. Partial Credit. Even if your program does not work perfectly, you will receive partial credit for each part you get to work. For example, if your program compiles but gives incorrect results, you can still receive a mark provided that your code is well-written Section 2 2.1 Exercises 1Read Problem statement in Section 3 before answering Exercises 1-4 Exercise 1 (Organize & Manage] (20 marks) (a) Write a pseudocode for your program and drawup a flowchart. Exercise 2 [Find & Generate) (8 marks) Please answer the following: 1. (2 marks) Which variables do you need? 2. (2 marks) Which variables do you use for input? 3. (2 marks) Which types do you use for which variable. Explain why? 4. (2 marks) What type of loop is best to validate the input? What is the loop condition? Exercise 3 [Evaluate & Reflect] (10 marks) Please describe at least three test cases that will allow you to assess whether the program is correct. Which inputs should you choose, and what outputs would you expect? Answer in less than 300 words. Does your program actually satisfy those test cases? Exercise 4 [Communicate & Apply Ethically] (7 marks) The program for this assignment is honest, in that it reports honestly what the user chooses. Of course, rather than reporting what the user chooses, your program could make a biased report - a preferred option favored if it wants to Since users do not have the source code, it may be difficult for normal users to tell that your program cheats. Suppose you would be working for tourism company and the company asks you to ensure that the final result is in favor of this particular hotel out of all the other options provided. Would this be ethical to do? Would this be in line with the ACS Code of Ethics and with basic Programming Ethics? Explain. Please answer in less than 300 words. In 1929, all parliamentary candidates had to be nominated by the Fascist Grand Council, and Mussolini started to be known as el Duce. True False Indicate which of the amino acid residues in the following peptide sequence contains a group that has a positive charge for its most likely charge state at pH10. Cys-Ala-Arg-Met-Lys-Asn-Val-Leu-Phe (If none of the amino acids fit the criterion, select "none".) Cys Ala Arg Met Lys Asn Val Leu Phe none Write a program IN C++ to Convert min heap tomax heap. Workout Problem (10 Marks) h(K) = K mod 11 For the input 30, 20, 56, 75, 31, 19, 85 and hash function A. construct the closed hash table. (6 Marks) B. find the largest number of key comparisons in a successful search in this table. (2 Marks) C. find the average number of key comparisons in a successful search in this table. (2 Marks) Evaluate the integral by converting to polar coordinates. 33 09x 2sin(x 2+y 2)dydx 5) Evaluate the double integral by reversing the order of integration. 04 12x 3+1dxdy 6) Find the volume of the tetrahedron enclosed by the coordinate planes and the plane 2x+y+z=2 which of the following statements about conditioning is true? ivan pavlov developed a principle of learning called law of effect. the process of reinforcement means that the rewarded behavior will become less likely in the future. classical conditioning involves reflexes, whereas operant conditioning occurs due to rewards and punishments. classical conditioning theory was developed by e. l. thorndike.