How many ways are there to arrange $6$ beads of distinct colors in a $2 \times 3$ grid if reflections and rotations are considered the same

Answers

Answer 1

There are 90 ways to arrange 6 beads of distinct colors in a 2*3 grid if reflections and rotations are considered the same.

In order to reach this result, we may use Burnside's Lemma, which states that the average number of arrangements of a symmetric object's symmetric parts, is taken throughout the set of all possible symmetry operations of the object.

You may fix one element and position the rest around it because of the rotation. You now have a total of 90 configurations available.

Thus, If reflections and rotations are treated equally, there are 90 ways to arrange 6 beads of different colors on a 2*3 grid.

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Related Questions

Can somebody help please .

Answers

Answer:

easy just think thoroughly

Step-by-step explanation:

1 is A

2 is C

3 is B

4 is D

What is the relationship between xzw and wzv on a vertical angle?

Answers

The relationship between xzw and wzv on the vertical angle is as follows:

∠ xzw + ∠ wzv = 180

How to find the relationship between angles?

Vertically opposite angles are angles that are opposite one another at a specific vertex and are created by two straight intersecting lines. Vertically opposite angles share the same vertex and they are congruent to each other.

Therefore,

∠vzy ≅ ∠wzx(vertical angles)

Hence, the relationships between angles xzw and wzv  is as follows:

∠ xzw + ∠ wzv = 180 (sum of angles on a straight line)

3x + 17 + x - 9 = 180

4x + 8 = 180

4x = 180 - 8

4x = 172

x = 172 / 4

x = 43

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Is algebra.
PLEASE HELP NO LINKS OR FILES.
I don't want links.
I don't want links.
I don't want links.
I don't want links.

Answers

The answer is 3(x-6)(x+5) no problem

Answer:

3(x+5)x(x-6)

Just fyi download photo math and it literally answers the question for you so you dont waste any more points

Step-by-step explanation:

15 points !!!!! Given: x - y = 11.
If x = -17, what is y?
Please put your answer in the format “y=____”

Answers

Answer:

y=-28

Step-by-step explanation:

-17-y=11

-y=11+17

-y=28

y=-28

NO LINKS

Two containers designed to hold water are side by side, both in the shape of a cylinder. Container A has a radius of 9 feet and a height of 10 feet. Container B has a radius of 5 feet and a height of 20 feet. Container A is full of water and the water is pumped into Container B until Containter B is completely full.

To the nearest tenth, what is the percent of Container A that is empty after the pumping is complete?

Answers

Answer:

61.74%

Step-by-step explanation

Find the vol of container one: Volume = Pi(r^2)(height) = 3.14159*81*10 = 2544.69 cu.ft.

Find the vol of container two: Pi(r^2)(height) = 1570.79 cu.ft.

Now the % of container A that is empty is

(1 - ((Volume A - Volume B)/Volume A))*100% = 61.73%

Eating at the all-you-can-eat buffet at your favorite restaurant currently costs $18.50, and increases in cost by 6% each year.
1. Write a function that correctly depicts this scenario.
2. How much will this buffet cost 10 years from now? Round your answer to the nearest cent.
3. How much did this buffet cost 15 years ago? Round your answer to the nearest cent.

Answers

The function of the scenario is f(x) = 18.5(1.06)^x

The cost 10 years from now is $33.13The cost 15 years ago is $7.72

How to determine the function of the scenario

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

Initial value = $18.50

Rate = 6%

The function of the scenario is then represented as

f(x) = Initial value * (1  + rate)^x

Substitute the known values in the above equation, so, we have the following representation

f(x) = 18.5(1 + 6%)^x

Evaluate

f(x) = 18.5(1.06)^x

How much will this buffet cost 10 years from now

This means that

x = 10

So, we have

f(10) = 18.5(1.06)^10

Evaluate

f(10) = 33.13

How much did this buffet cost 15 years ago?

This means that

x = -15

So, we have

f(-15) = 18.5(1.06)^(-15)

Evaluate

f(-15) = 7.72

Hence, the price is $7.72

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Find the area of triangle XYZ​

Answers

Answer:

[tex] \displaystyle A _{XYZ - \text{triangle}} = 24 {cm}^{2} [/tex]

Step-by-step explanation:

we have two right angle triangles

we want to figure out the area of XYZ triangle

we are given the base not the altitude (height) so we need to figure the height of XYZ to figure out the area of XYZ

in that case we can use Pythagoras theorem given by

[tex] \displaystyle {a}^{2} + {b}^{2} = {c}^{2} [/tex]

given that, c=5 and b=3 thus

substitute:

[tex] \displaystyle {3}^{2} + {a}^{2} = {5}^{2} [/tex]

simplify squares:

[tex] \displaystyle 9 + {a}^{2} = 25[/tex]

cancel 9 from both sides:

[tex] \displaystyle {a}^{2} = 16[/tex]

square root both sides:

[tex] \displaystyle {a}^{} = 4[/tex]

we have figured out the height of XYZ triangle

remember that,

[tex] \displaystyle A _{ \text{triangle}} = \frac{1}{2} bh[/tex]

we have h=4 and b=9+3=12

substitute:

[tex] \displaystyle A _{ \text{triangle}} = \frac{1}{2} \times 12\times 4[/tex]

reduce fraction:

[tex] \displaystyle A _{ \text{triangle}} = 12\times 2[/tex]

simplify multiplication:

[tex] \displaystyle A _{ \text{triangle}} = 24[/tex]

hence,

the area of triangle XYZ is 24 cm²

What is median?
the sum of values in a set of data multiplied by the number of values in the set
the sum of values in a set of data divided by the number of values in the set
the middle value in a data set when the values are put in order
the value that occurs most often in a data set

Answers

Answer:  Choice C

the middle value in a data set when the values are put in order

For example, the set {3,1,2} sorts to {1,2,3} where the median is 2.

Another example: The set {1,2,3,4} has 2 and 3 tied for the middle most position. The midpoint is (2+3)/2 = 5/2 = 2.5 which is the median.

If AT = 12 and KN = 18, find OB.​

Answers

Answer:

15

Step-by-step explanation:

There is a formula for this it is,

B1+B2/2

B1= Base one or TA in this case

B2= Base two or NK in this case

You replace the values with the variable:

B1=12

B2=18

12+18/2 = 30/2= 15

OB=15

The midsegment of the trapezium OB is 15

Mid segment of a trapezium:

The midsegment of a trapezoid is parallel to each base, and its length is one-half the sum of the lengths of the bases.

OB = mid segment

Therefore, mathematically,

OB = 1 / 2 (AT + KN)

where

AT = 12

KN = 18

Therefore,

OB = 1 / 2(12 + 18)

OB = 30 / 2

OB = 15

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A car is traveling at a rate of 48 miles per hour. What is the car's rate in miles per minute? How many miles will the car travel in 20 minutes? Do not round your answers.

Will give brainliest. Please Help

Answers

Answer:

Speed of car in miles per minute = 0.8 miles per minute

Distance cover by car in 20 minutes = 16 miles

Step-by-step explanation:

Given:

Speed of car = 48 miles per hour

Time taken by car = 20 minutes

Find:

Speed of car in miles per minute

Distance cover by car in 20 minutes

Computation:

Speed of car = 48 miles per hour

1 hour = 60 minutes

So,

Speed of car = 48/60 miles per minute

Speed of car in miles per minute = 0.8 miles per minute

Distance cover by car in 20 minutes = 20 x Speed of car in miles per minute

Distance cover by car in 20 minutes = 20 x 0.8

Distance cover by car in 20 minutes = 16 miles

10. Express the following as a single fraction.
x-1 +x+2 + x
2
5
4

Answers

Answer:

x+x+x=3x

2-1=1

3x+1

this is ansver

Which is the best estimate for the average rate of change for the quadratic function graph on the interval 1 ≤ x ≤ 3?

Answers

Answer:

I think it's either 1/2 or 1/3.

The game has 12 three-minute rounds. If the players stop after two minutes of the twelfth round, for how many minutes did they play?​

Answers

First of all we know he is at the 12th round, so 11 rounds of 3 minutes passed, so 11 x 3= 33 minutes passed, but we also know that he passed two minutes of the 12th round so 33+2= 35 minutes.
The player played for 35 minutes.

Please Help!! Offering 8 points to each answerer and a Brainliest! Please answer the following parts of this question.

(02.05 HC)

The linear functions f(x) and g(x) are represented on the graph, where g(x) is a transformation of f(x):

Part A: Describe two types of transformations that can be used to transform f(x) to g(x). (2 points)

Part B: Solve for k in each type of transformation. (4 points)

Part C: Write an equation for each type of transformation that can be used to transform f(x) to g(x). (4 points)

Answers

Answer:

Part A: Two types of transformations: translation and reflection.

Part B: g(x)=f(x)+k

-1= -1+ k

k= -1+1=0

g(x)=f(x)+k

-1= 5+k

k= -1-5=-6

g(x)=f(x)+k

14= 14+k

k= 0

k= -6,0,-6,0

Part C: For horizontal translation, g(x)=f(x+2)

In case of vertical translation, g(x)=f(x)+10

Therefore, the equation of transformation can be written as g(x)=f(x+2)+10.

Step-by-step explanation:

I thought. :') Ever since yesterday, and today. Hope this helps!

help me pleaseeeeeeeee!!

Answers

Answer:

2nd

Step-by-step explanation:

Answer: They are not proportional.

Step-by-step explanation: The numerator is multiplied my 0.5 but the denominator is not.

Han has to build the figure below, which will serve as a counterweight, for his robotics project. Find the VOLUME of the finished object assuming it is empty inside.

Answers

Given:

A figure of a robotics project.

To find:

The volume of the finished object assuming it is empty inside.

Solution:

The given figure contains a triangular prism and a cuboid.

The dimensions of the cuboid are 6 cm, 8 cm and 5 cm. So, the volume of the cuboid is:

[tex]V_1=length\times width\times height[/tex]

[tex]V_1=6\times 8\times 5[/tex]

[tex]V_1=240[/tex]

So, the volume of the cuboid is 240 cubic cm.

The area of a triangle is:

[tex]Area=\dfrac{1}{2}\times base\times height[/tex]

So, the area of the base of the triangular prism whose base is 8 cm and height 4 cm, is:

[tex]B=\dfrac{1}{2}\times 8\times 4[/tex]

[tex]B=16[/tex]

The volume of a triangular prism is:

[tex]V_2=Bh[/tex]

Where, B is the base area and h is the height of the prism.

The base area of the triangular prism is 16 square cm and the height is 5 cm. So, the volume of a triangular prism is:

[tex]V_2=16(5)[/tex]

[tex]V_2=80[/tex]

Now, the volume of the given figure is:

[tex]V=V_1+V_2[/tex]

[tex]V=240+80[/tex]

[tex]V=320[/tex]

Therefore, the volume of the finished object is 320 cubic cm.

In describing the cost equation, Y = a + bX, "a" is:
- A) The dependent variable cost.
- B) The independent variable the level of activity.
- C) The total fixed cost.
- D) The variable cost per unit of activity.

Answers

Answer:

C) The total fixed cost.

if 12 men complete a piece of work in 10 days in how many days would 15 men complete the same work​

Answers

12 men = (1/10) work per day

15 men = (1/8) work per day

So 8 days

Step-by-step explanation:

number of men =12

time taken = 10 days

time taken to complete the work by 15 men = 12÷10=1.2

= 1.2 ×15 = 18

therefore, 18 days is taken to complete the work by 15 men

PLEASE HELP. Simplify the expression
-4x - 2 + 3x - 4​

Answers

Answer:

-x-6

Step-by-step explanation:

-4x - 2 + 3x - 4​

Combine -4x and 3x  -x - 2 - 4​

Combine -2 and -4 -x - 6

[tex]\huge\text{Hey there!}[/tex]

[tex]\huge\text{-4x - 2 + 3x - 4}[/tex]​

[tex]\underline{\underline{\huge\text{COMBINE the LIKE TERMS }}}[/tex]

[tex]\huge\text{= (-4x + 3x) + (-2 - 4)}[/tex]

[tex]\huge\text{-4x + 3x = \bf -1x}[/tex]

[tex]\huge\text{-2 - 4 = \bf -6}[/tex]

[tex]\huge\text{= \underline{\bf -1x - 6 }\huge\text{\textsf{\underline{\underline{\underline{or}}}}\underline{ \bf -x - 6 }}}[/tex]

[tex]\boxed{\boxed{\huge\text{Answer: \boxed{\bf -1x - 6} (also known as \boxed{\bf -x - 6})}}}\huge\checkmark[/tex]

[tex]\huge\text{Good luck on your assignment \& enjoy your day!}[/tex]

~[tex]{\huge\text{\frak{Amphitrite1040:)}}}[/tex]

Solve for the indicated values.
For both

Answers

Answer:

CH = 22°

Step-by-step explanation:

We know that Arc AC and Arc CH both equal to 180°, therefore we can say;

AC + CH = 180°

158 + CH = 180°

CH = 180 - 158

CH = 22°

Hope this helps!

CPM 6-18
AP statistics
Consider a random variable X with μx = 40 and σx = 5. Let Z = X + X + X + X.
a. Find μz and σz.
d. Find μ1/4z and σ1/4z.

Answers

Consequently, the solution of the given question of probability comes out to be  P(x<5.67 = 0.63

What is probability?

Probability fundamentals. A probability is a number that expresses the possibility or likelihood that a specific event will take place. Probabilities can be stated as proportions with a range of 0 to 1, or as percentages with a range of 0% to 100%.

Here,

we use the z-score algorithm to answer this query.

Score Z = x - 40/5

x = the raw score

 

 population mean= μ 

Population standard deviation is σ

Hence,

x = 40  μ = 5.67, σ =5

Z = 5.67 - 40/5

z=0.37

Probability based on the Z-Table:

P(x<5.67 = 0.63

Consequently, the solution of the given question of probability comes out to be  P(x<5.67 = 0.63 .

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QUESTION 1 OF 10
If √62-9 =z, what is the value of ?

Answers

The required value of z is "i√6" to the given expression√(6/2 - 9) = z.

What is a complex number?

A complex number is a combination of real values and imaginary values. It is denoted by z = a + ib, where a, and b are real numbers and i is an imaginary number.

The expression is given in the question, as follows:

√(6/2 - 9) = z

We have to determine the value of z to the given expression.

As per the question, we have

⇒ √(6/2 - 9) = z

⇒ √(3 - 9) = z

⇒ √(- 6) = z

⇒ √(6 × -1 ) = z

⇒ (√6 × √-1 ) = z    [∵ imaginary number i = √-1 ]

⇒ (√6 × i ) = z

⇒ z = i√6

Therefore, the required value of z is "i√6" to the given expression.

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Which equation could be used to find the length of the missing side of
the right triangle?
22 cm
7 cm
bcm

Answers

Step-by-step explanation:

use Pythagoras theorem

[tex]b = \sqrt{h ^{2} - p ^{2} } [/tex]

1/5t + 2 - 2 = 17 - 2

Answers

Answer:

[tex]t=75[/tex]

Step-by-step explanation:

Given

[tex]\frac{1}{5} t+2-2=17-2[/tex]

Lets solve for [tex]t[/tex].

Subtract 2 from 2.

[tex]\frac{1}{5} t=17-2[/tex]

Subtract 2 from 17.

[tex]\frac{1}{5} t=15[/tex]

Combine [tex]\frac{1}{5}[/tex] and [tex]t[/tex].

[tex]\frac{t}{5} =15[/tex]

Multiply both sides of the equation by 5.

[tex]\frac{t}{5}*5 =15*5[/tex]

[tex]t=75[/tex]

50% of 188 is equal to what number?

Answers

Answer:

Step-by-step explanation:

a.50%=[tex]\frac{1}{2}[/tex]

b.so 50% of 188 means 188·[tex]\frac{1}{2}[/tex]=94

answer is 94

The correct answer would be 94 because 1% of 188 is 1.88 so you would just multiply that by 50.

find value of m

[tex] {m}^{2} + 35 = 240 \div (12 \div 3)[/tex]

Answers

Answer:

5 ( or ) - 5

Step-by-step explanation:

12/3 = 4

240/4 = 60

m² + 35 = 60

m² = 60 - 35

m² = 25

m = - 5 ( or ) 5

Because,

( - 5 )² = - 5 * - 5 = 25

5² = 5 * 5 = 25

I need help please please pleade

Answers

Answer:

B

Step-by-step explanation:

Answer:

the answer is B most likely

Which segment(s) are perpendicular to overline AB ? B A. Segment CE only B. Segment CD and segment CE C. Segments CD , CE , and CF

Answers

Answer:

A letter A

Step-by-step explanation:

Segment CE only

mypoints!

The perpendicular line AB is segment CE only. The correct option is A.

What is trigonometry?

The branch of mathematics sets up a relationship between the sides and the angles of the right-angle triangle termed trigonometry.

Two geometric objects are perpendicular in simple geometry if they intersect at a right angle. If two lines cross at a right angle, they are said to be perpendicular to one another.

The line CE is making an angle of 90 degrees with the line AB, then the line CE will be perpendicular to the line AB.

Therefore, the perpendicular line AB is segment CE only. The correct option is A.

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What is Y + 4 = 3x + (-5) as a y = mx + b equation??

Answers

Answer: y = 3x -9

Step-by-step explanation:
1. You would subtract the 4 on both to get the Y alone
2. Now the equation is y = 3x + (-5) -4, simplify it by subtracting the like terms, -5 and -4
3. Subtracting -5 by -4 gives you -9
3. The equation will written as y = 3x -9

HELP DUE IN 15 MINS!

Find the length of the diagonal of the square and the variables. You can round to the nearest tenth.

diagonal =??

x =?? degrees

° y =?? degrees

Answers

Answer:

Diagonal ⇒ d = 6√2 = 8.5 iny = 90° (diagonals are perpendicular)x = 45° (isosceles right triangle)

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If you are walking away from the audience you are walking...2. Know all blocking shorthand.3. The apron is an area offstage where the actors wait before entering the stage.4. The thrust stage has audience members on ________ sides of the stage.5. The ___________ area are the offstage area that actors wait in before entering the stage.6. What is blocking?7. Which body position is best for sharing a scene with a partner?8. A __________________ is the frame that surrounds the stage and separates it from the audience.9. Stage directions are taken from the ________________ perspective.10. Know all stage area locations and their shorthand.11. The weakest position to stand in is....12. Turning 1/4 left and 1/4 right is also known as...13. The area where the audience sits is also called....14. In ancient times the stages would be raked to allow the audience to see everything. This means it was built at an angle or slanted.15. Which symbol is the shorthand for "Cross the stage"?16. 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