in how many ways can a rectangular checkboard be tiled using and pieces? (hint: make a recursive connection by analyzing what you can have in the last column). what is the answer for n=6?

Answers

Answer 1

There are 5 ways to tile a 2 x 6 checkerboard using L-shaped tiles of size 2 x 1.

We can approach this problem using recursion. Let T(n) be the number of ways to tile a rectangular checkerboard of size 2 x n using L-shaped tiles of size 2 x 1. We can analyze the possible tiles that can be placed in the last column of the checkerboard, and then use recursion to count the total number of ways to tile the remaining (2 x (n-1)) board.

Consider the last column of the checkerboard. We can place either a vertical tile, or two horizontal tiles in the column.

Case 1: Last column has a vertical tile

In this case, we can place a horizontal tile in the second-to-last column, and then we are left with a (2 x (n-2)) checkerboard to tile. So the number of ways to tile the (2 x n) checkerboard in this case is T(n-2).

Case 2: Last column has two horizontal tiles

In this case, we must also have two horizontal tiles in the second-to-last column, and then we are left with a (2 x (n-4)) checkerboard to tile. So the number of ways to tile the (2 x n) checkerboard in this case is T(n-4).

Therefore, the recursive formula for T(n) is:

T(n) = T(n-2) + T(n-4)

with the base cases:

T(0) = 1 (there is only one way to tile an empty checkerboard)

T(1) = 1 (there is only one way to tile a 2 x 1 checkerboard)

T(2) = 2 (there are two ways to tile a 2 x 2 checkerboard)

Using this formula, we can calculate T(6):

T(3) = T(1) + T(-1) = 1 (since T(-1) = 0)

T(4) = T(2) + T(0) = 3

T(5) = T(3) + T(1) = 2

T(6) = T(4) + T(2) = 5

So there are 5 ways to tile a 2 x 6 checkerboard using L-shaped tiles of size 2 x 1.

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Related Questions

Noah brought $30 to the county fair. He paid $6 for parking. Ride tickets cost $2 each.
a. Write an inequality to find the possible numbers of ride tickets he can purchase after he pays for parking. Use x to represent the number of ride tickets.
b. Use the inequality from part A to find the possible numbers of tickets Noah can purchase. For questions 15 – 16, solve each literal equation for x.

Answers

The inequality to find the possible numbers of tickets Noah can purchase is 6 + 2x ≤ 30

Inequality

Amount with Noah = $30Amount paid for packing = $6Amount per each ride tickets = $2Number of ride tickets = x

6 + 2x ≤ 30

2x ≤ 30 - 6

2x ≤ 24

x ≤ 24/2

x ≤ 12

The possible number of ride tickets Noah can purchase is x ≤ 12

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14. Which value of c makes the inequality 4 + 3c > 10 true?

Answers

Answer:

C=6

Step-by-step explanation:

3x2 is 6 and 6+4= 10.

This question can be answered using trial and error.

Hi student, let me help you out!

............................................................................................................

Which value of c makes the inequality 4+3c>10 true? We can quickly find it if we follow these steps:

Subtract 4 from both sides.Solve for c.

Step 1. Subtract 4 from both sides: \(\mathrm{3c > 10-4}\).

Upon simplifying, we get \(\mathrm{3c > 6}\).

Step 2. Solve for c by dividing both sides by 3: \(\mathrm{c > 2}\)

So the values that make this inequality true are greater than 2.

Hope it helped you out, ask in comments if any queries arise. :)

19. Helen has 2 more than twice as many stamps as Gail. If Gail
buys 10 more stamps, she and Helen will have the same
number of stamps. How many stamps does each person have
now?

Answers

Answer:

x(Gail)=8 and y(Helen)=18

Step-by-step explanation:

2x+2=y and x+10=y

Plug y in and solve for x

2x+2=(x+10)

2x-x=10-2

x=8

Plug x in and solve for y

(8)+10=y

y=18

People use water to​ cook, clean, and drink every day. An estimate of 19.8​% of the water used each day is for cooking. If a family uses 69.3 gallons of water a day for cooking​, how many gallons do they use every​ day?

Answers

Answer: 350 gallon

Step-by-step explanation:

If 19.8% is 69.3gallons

1% is 69.3/19.8

100% used is 69.3/19.8 × 100/1

Combine any like terms in the expression. If there are no like terms, rewrite the expression. 10f + 6 + 5-8​

Answers

The expression when evaluated is 10f + 3

How to evaluate the expression

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

10f + 6 + 5-8​

Collect the like terms

So, we have the following representation

10f + 6 + 5-8​ = 10f + 6 + 5-8​

Evaluate the like terms in the expression

So, we have the following representation

10f + 6 + 5-8​ = 10f + 3

Hence, teh expression is  10f + 3

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PLEASE HELPPPPP, what is the meaning of 1.5 terms context?

PLEASE HELPPPPP, what is the meaning of 1.5 terms context?

Answers

Answer: #2 that's an absolute anser i am not sure if there are more or if this is just a multiple choice question

Step-by-step explanation:

4. If the train travels at a constant speed of 460 kilometers per hour 1 for hour, how far does the train travel? 5 5. If the train traveled at a constant rate of its top speed for 6 kilometers, what is the approximate amount of time the train would have traveled? A train reaches rates up to 480 km per hour

4. If the train travels at a constant speed of 460 kilometers per hour 1 for hour, how far does the train

Answers

4)

Given data:

The given speed is s=460 km/h.

The given time is t= 1/5 h.

The expression for distance is,

\(d=s\times t\)

Substitute the given values in the above expression.

\(\begin{gathered} d=(460\text{ km/h)(}\frac{1}{5}\text{ h)} \\ =92\text{ km} \end{gathered}\)

Thus, the distance traveled is 92 km.

5)

Given data:

The given speed is s= 480 km/h.

The given distance is d= 6 km.

The expression for the time is,

\(\begin{gathered} t=\frac{d}{s} \\ =\frac{6\text{ km}}{480\text{ km/h}} \\ =0.0125\text{ h} \\ =0.75\text{ min} \\ =45\text{ seconds} \end{gathered}\)

Thus, the value of time is 45 seconds.

Answer: 1/80

Step-by-step explanation: The train traveled for about 1/80 hours. (simplified)

What is the surface area of this shape??? Help please!

What is the surface area of this shape??? Help please!

Answers

The area of the composite figure is equal to 216 square inches

How to calculate for the area of the figure

The composite figure can be observed to be made up of six identical squares, so we shall calculate for the area of one square and then multiply the result by six to get the total area of the composite figure as follows:

area of a square = length²

area of the one square = 6 in × 6 in

area of the one square = 36 in²

total area of the composite figure = 36 in² × 6

total area of the composite figure = 216 in²

Therefore, the area of the composite figure is equal to 216 square inches.

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Most interesting way to write 6 billion is...? Why?

Answers

Answer:

Its 6 bill because people think its flashy

Step-by-step explanation:

6,000,000,000 => 6.0 x 10^9

The most interesting way to write 6 billion is in scientific notation. In scientific notation, 6 billion would be written as 6.0 x 10^9. I personally believe so since scientific notation is important in ways of shortening lengthy numbers when writing. Though this is mostly for scientists to use, I find it fun to convert from standard form to scientific notation!

please answer :,)
What is the median of this data set?

The line graph is titled Amount of Rainfall. The Y axis is labeled inches. The X axis is labeled weeks. Week 1 has a dot at 2 inches. Week 2 has a dot at 3 inches. Week 3 has a dot at 1 inch. Week 4 has a dot at 3 inches. Week 5 has a dot at 5 inches. Week 6 has a dot at 4 inches. The dots are connected one to the next by a line to show a change in the amount of rainfall.

4
3
2
1

Answers

Answer: 2.5 is the answer. To find median you make a list of numbers from least to greatest then simply find the middle number if theres two in the middle add them both together then divide by two thats your answer.

Step-by-step explanation:

Tran is making fasnachts (deep-fried German doughnuts) to sell the
Tuesday before Ash Wednesday, her bakery's biggest fasnacht day of
the calendar year. She has 8 pounds of butter and her recipe calls for
1/4 cup of butter per 2 dozen

fasnachts. If 1 pound of butter is 2 cups,
then how many individual fasnacht doughnuts will Tran be able to
make?

Answers

Answer:

1,536

Step-by-step explanation:

1 pound equals 2 cups, so 8 pounds will be 16 cups.

\(\frac{16}{\frac{1}{4} }\) = 16 x 4 = 64

She can make 64 2 dozen fasnachts.  There are 24 fasnachts in 2 dozen.

64 x 24 = 1536 individual fasnachts doughnuts.

HELP PLS HELPP egrhsdjtkfylkfjhtrgthynbvrshtndgvrehtbgd

HELP PLS HELPP egrhsdjtkfylkfjhtrgthynbvrshtndgvrehtbgd

Answers

Answer:

126

Step-by-step explanation:

The area of the top triangle is (6)(6)/2 = 18 square meters.

The area of the bottom rectangle is (9)(12)=108 square meters.

Adding these, we get the total area to be 126 square meters.

What is the difference between Glasgow and Copenhagen. (Glasgow= -7.8 Copenhagen=-3.8)

Answers

Answer:

Step-by-step explanation:

The difference of the two values is 4 as calculated by subtraction.

An arithmetic operation called subtraction is the process of deleting or removing items from a collection. The negative symbol (-) denotes subtraction.

Subtraction can mean eliminating or lowering physical and abstract quantities utilizing a variety of things, such as fractions, matrices, vectors, irrational numbers,  decimals, functions, and  however negative integers. it is typically linked with natural numbers in mathematics.There are several significant patterns in subtraction. It is anticommutative, which means that altering the sequence alters the answer's sign. Additionally, it is not associative, which means that when subtracting more than two numbers, the method used matters. 0 is the additive identity, hence subtracting it has no effect on a number. In relation to related operations like addition and multiplication, subtraction also abides by predictable principles.

The given values for Glasgow and Copenhagen are given as -7.8 and -3.8 .

Therefore difference = -3.8 - (-7.8) = -3.8 +7.8 = 4

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ILL BRAINLIEST YOU
PLEASE HELP ME

ILL BRAINLIEST YOU PLEASE HELP ME

Answers

Answer:

From greatest to least: AB, AC, BC

The grade of a road is the slope of a road. In the u. S. , grade is often expressed as a percent by finding the product 100(slope). Approximate the grade of a road that has a rise of 950 ft over 3 mi.

Answers

A road's grade can be thought of as its slope. In the US, grades are frequently reported as percentages by dividing the result by 100. (slope). A road with a rise of 950 feet over three miles is roughly 3% grade.

The slope or gradient of a line in mathematics is a numerical representation of the steepness and direction of the line. Slope is usually represented with the letter m; the rationale for this is unclear, although O'Brien (1844) stated the equation for a straight line as "y = mx + b," which is the first recorded use of the letter in English. It was also written as "y = mx + c" by Todhunter in 1888. The ratio of the "vertical change" to the "horizontal change" between (any) two distinct points on a line is used to calculate slope.

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What is 7 didved 5436

Answers

Solution:

The exact form of the given expression would be \(\frac{7}{5436}\).

Hope this helps! If not, feel free to comment below on what else I can do to better assist you. Other than that, I wish you the best of luck on your studies!

the sum of three consecutive numbers is 45. what is the lowest

Answers

Answer:

Step-by-step explanation:

5,1, 9

Answer:

5,1 and 9 like said above sksksk

Step-by-step explanation:

What is the x-intercept ?

What is the x-intercept ?

Answers

Answer:

-3

Step-by-step explanation:

2.5 kg cost £1.40

work out the cost of 4.25kg

Answers

Calculating the cost of 4.25 kilogram(kg) is £2.38, by multiplying it by 4.25 kg by 1 kg.

Cost

Costs are the expenses incurred in the manufacture, marketing, or preparation of a good or asset for regular use. In other terms, it's the cost incurred to produce a good, buy inventories, sell goods, or prepare equipment for use in a commercial activity.

Given,

2.5 kg cost  £1.40 i.e,

2.5 kg = £1.40

For 1 kg= \(\frac{1.40}{2.5}\)

= £0.56

To find the cost of 4.25 kg:

Then,

1 kg = £0.56

4.25 kg = 0.56 x 4.25

= £2.38

£2.38 is the cost of 4.25kg after calculating it.

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A painter charges a flat fee and then an additional hourly fee for his work. The table below shows the amount of money the painter ears and the number of hours he works. Create an equation to match the table
of value

1. y - 50x + 25 2. y=100x + 25
3. y=30x + 65
4. y=1502 - 25

A painter charges a flat fee and then an additional hourly fee for his work. The table below shows the

Answers

Answer:

1.  y = 50x + 25

Step-by-step explanation:

See attached image.

A painter charges a flat fee and then an additional hourly fee for his work. The table below shows the

a kindergarten teacher has 14 books about a holiday. in how many ways can she select 4 of the books to read to her class in the week before the holiday?

Answers

she selects 4 of the books to read to her class in the week before the holiday=  \(^{14}C_{4}\)

Permutation and combination are methods for representing a collection of objects by selecting them from a set and forming subsets. It specifies the various ways to arrange a specific set of data. Permutations are when we select data or objects from a specific group, whereas combinations are the order in which they are represented.

The combination is a way of selecting items from a collection, such that (unlike permutations) the order of selection does not matter. In smaller cases, it is possible to count the number of combinations. Combination refers to the combination of n things taken k at a time without repetition. To refer to combinations in which repetition is allowed, the terms k-selection or k-combination with repetition are often used.

A kindergarten teacher has 14 books about a holiday. in how many ways can she select 4 of the books to read to her class in the week before the holiday,

he can select \(^{14}C_{4}\)

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what is the slope between the points (-3,-4) & (7,6)

Answers

Answer:

The slope is 1 I believe.

Answer:

The Slope is 1

Step-by-step explanation:

Slope (m) =  

ΔY

ΔX

=  

1

1

= 1

θ =  

arctan( ΔY )

ΔX

= 45° =  

1

4

π

ΔX = 7 – -3 = 10

ΔY = 6 – -4 = 10

Distance (d) = √ΔX2 + ΔY2 = √200 = 14.142135623731

Equation of the line:

y = x – 1

When x=0, y = -1

When y=0, x = 1

there are 6 donut with sprinkles and 7 with filling. if there are 3 donut that have both sprinkles and filling, how many have sprinkles or filling?

Answers

There are 6 donut with sprinkles and 7 with filling. if there are 3 donut that have both sprinkles and filling, 10 have sprinkles or filling

What is Venn Diagram ?Circles that overlap or do not overlap each other are used in a Venn diagram to illustrate similarities and distinctions between objects or groups of objects.Objects that share characteristics are represented as overlapping circles, whereas objects that are unique stand alone.Venn diagrams are currently utilized in many academic and business settings as demonstrations.

Let S represent the set for donut with Sprinklers.

Let F represent the set for donut with Filling.

To find :- How many have sprinkles or filling?

i.e. n ( S ∪ F )

Formula,

n ( S ∪ F ) = n ( S ) + n ( F ) + n ( S ∩ F )

Given,

n ( S ) = 6

n ( F ) = 7

n ( S ∩ F ) = 3

Putting in formula

n ( S ∪ F ) = n ( S ) + n ( F ) - n ( S ∩ F )

                = 6 + 7 - 3

                = 10

Donuts with Sprinklers or Filling = 10

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an spc chart shows that a process has an overall average measurement of 12.5 and an average moving range of 0.5. what are the control limits for the x chart? a ucl

Answers

The Upper Control Limit (UCL) for the X-chart is approximately 14.028.

To calculate the control limits for the X-chart (also known as the process mean chart) in a Statistical Process Control (SPC) chart, we need the average moving range (MR-bar).

The control limits for the X-chart can be determined using the following formulas:

\(Upper $ Control Limit (UCL) = X-double-bar + A2 \times MR-bar\)

\(Lower $ Control Limit (LCL) = X-double-bar - A2 \times MR-bar\)

In these formulas:

X-double-bar represents the overall average measurement.

MR-bar represents the average moving range.

A2 is a constant that depends on the sample size.

The value of A2 can be obtained from statistical tables or calculated using the following formula for sample sizes greater than or equal to 2:

\(A2 = 3.267 - (0.15 \times \sqrt{(N)} )\)

In your case, the overall average measurement is 12.5, and the average moving range is 0.5.

Assuming you have a sample size greater than or equal to 2, we can calculate the value of A2 as follows:

\(A2 = 3.267 - (0.15 \times \sqrt{(N)} )\)

\(= 3.267 - (0.15 \times \sqrt{(2)} ) (assuming N = 2, the $ minimum sample size)\)

\(\approx 3.267 - (0.15 \times 1.414)\)

≈ 3.267 - 0.2121

≈ 3.0559

Now, we can calculate the control limits for the X-chart:

\(UCL = X-double-bar + A2 \times MR-bar\)

\(= 12.5 + 3.0559 \times 0.5\)

= 12.5 + 1.52795

≈ 14.028

Therefore, the Upper Control Limit (UCL) for the X-chart is approximately 14.028.

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The diagrams below show two cereal boxes of different sizes and prices. (a) big box 500 g $8.00 small box 300 g $5.40 Which of the boxes is better value for money? Show your workings.​

Answers

Answer: Small box has the lowest amount when divided, that box has the best value.

Step-by-step explanation:

Given data,

Big box = 500 g

It cost is $8.00

Small box = 300 g

It cost is $ 5.40

First switch the box that's in kilograms into grams.

One kilogram=1000 grams.

Then,    Big box = 500 g = $ 8.00

            Small box = 300 g = $ 5.40

Next divide the amount in each box by the cost of each box.

           Big box = 500/8

           Big box  = 62.5

           Small box = 300/540

           Small box  = 0.5555

Therefore,

So, since small box has the lowest amount when divided, that box has the best value.

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9.4. During the course of a normal workday, Sandra and Bob interact with each other more than they do with anyone else. Bob works more closely with Gloria than he does with Joe. Sandra does not work much with Joe but she does work somewhat more with Gloria. If the offices of these individuals were arranged in a linear fashion, one following the other and Sandra's office was first, in what order should they be arranged for maximum communication efficiency?
(1 Point) A. Sandra-Bob-Joe-Gloria B.Sandra-Gloria-Bob-Joe C. Sandra-Gloria-Joe-Bob D.Sandra-Bob-Gloria-loe
10. Reason (2 points)​

Answers

The ordering that will be important to illustrate maximum communication efficiency is D. Sandra-Bob-Gloria-loe.

What is communication?

It should be noted that communication simply means the passing of information from the sender to the receiver.

In this case, ordering that will be important to illustrate maximum communication efficiency is Sandra-Bob-Gloria-loe. This is because Sandra communicates more with Bob than anyone else.

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NI (Factonal of an integer number N) is aperoximated using Stirling s approximation wing the function given below. F(∄)= 2mn

( e
n

) n
Write this fanction in C+1

Answers

The given function is: F(∄) = \(2mn e^(n)\) n, which is to be written in C++.Here's the solution to this question:

In C++, we can use the pow() function from the math library to implement exponents.

So, the given function can be written in C++ as:

#include <iostream>

#include <cmath>

using namespace std;

double stirlingApproximation(int n) {

   double pi = 3.14159;

   double numerator = pow(2 * pi * n, 0.5);

   double denominator = pow(n, n) * exp(-n);

   double result = numerator / denominator;

   return result;

}

int main() {

   int n = 5;

   double result = stirlingApproximation(n);

   cout << "The value of the function F(" << n << ") is: " << result << endl;

   return 0;

}

The above code will return the value of the function F(5) using Stirling's Approximation.

Note that we can change the value of n in the main() function to get the value of the function for a different value of n.

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HELP ASAPPPPpppppppp

HELP ASAPPPPpppppppp

Answers

Answer:

1/12

Step-by-step explanation:

Answer:

1/12

Step-by-step explanation:

1 x 1 = 1

3 x 4 = 12

a survey asks a simple random sample of 500 adults in ohio if they support an increase in the state sales tax from 5% to 6%, with the additional revenue going to education. let denote the proportion in the sample who say they support the increase. suppose that 53% of all adults in ohio support the increase. what is the probability that less than half the sample will say they support the increase? use your calculator. do not round any answer until your final answer. that answer should be rounded to exactly 3 decimal places.

Answers

The probability that less than half of the sample will say that they support the increase is given as follows:

0.0885 = 8.85%.

How to obtain probabilities using the normal distribution?

The z-score of a measure X of a variable that has mean symbolized by \(\mu\) and standard deviation symbolized by \(\sigma\) is obtained by the rule presented as follows:

\(Z = \frac{X - \mu}{\sigma}\)

The z-score represents how many standard deviations the measure X is above or below the mean of the distribution, depending if the obtained z-score is positive or negative.Using the z-score table, the p-value associated with the calculated z-score is found, and it represents the percentile of the measure X in the distribution.By the Central Limit Theorem, for a proportion p in a sample of size n, the sampling distribution of sample proportion is approximately normal with mean \(\mu = p\) and standard deviation \(s = \sqrt{\frac{p(1 - p)}{n}}\), as long as \(np \geq 10\) and \(n(1 - p) \geq 10\).

The parameters for this problem are given as follows:

n = 500, p = 0.53.

Hence the mean and the standard error are given as follows:

\(\mu = 0.53\)\(s = \sqrt{\frac{0.53(0.47)}{500}} = 0.0223\)

Hence the probability of less than half is the p-value of Z when X = 0.5, hence:

\(Z = \frac{X - \mu}{\sigma}\)

By the Central Limit Theorem

\(Z = \frac{X - \mu}{s}\)

Z = (0.5 - 0.53)/0.0223

Z = -1.35

Z = -1.35 has a p-value of 0.0885.

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Accumulation Functions and FTC 1: Problem 6 (8 points) The curve C is the graph of y = Som t2 -3t+6 dt. Determine x-interval(s) on which the curve is concave downward. C is concave downward on: ___

Answers

The curve C is concave downward on the x-interval (-∞, 3/2).

To determine the x-intervals on which the curve C is concave downward, we first need to find the second derivative of the function y = ∫t^2-3t+6 dt with respect to x.

Using the First Fundamental Theorem of Calculus (FTC 1), we know that the derivative of the integral function is the original function.

Therefore, we have:
dy/dx = d/dx [∫t^2-3t+6 dt]
dy/dx = t^2-3t+6

Now, to find the second derivative, we differentiate again with respect to x:
d^2y/dx^2 = d/dx [t^2-3t+6]
d^2y/dx^2 = 2t-3

To determine the concavity of curve C, we need to find where the second derivative is negative (i.e., concave downward).

Setting d^2y/dx^2 < 0, we have:
2t-3 < 0
2t < 3
t < 3/2

Therefore, the curve C is concave downward on the x-interval (-∞, 3/2).

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What is a consideration when forcing interior walls?A.C.D.The wall coverings often hide interior metal framing.The walls may be load-bearing and affect structural integrity.Power tools must be used since all interior walls are reinforced.Forcing the wall will require firefighters to work in a team of two. A major criticism of the social cognitive theory is that theya. can't account for observational learning.b. put too much emphasis on person variables.c. can't explain trait development and self awareness.d. claim behavior can be acquired in the absence of reinforcement. in the entrepreneurial snapshot, buck knives found itself in the situation that the only way to save the three-generation family business was to Consider two interrelated product markets 1 and 2 with the following inverse demand functions.p1=54-2q1+q2p2=54-2q2+q1Assume that there is no production cost.Using the inverse demand functions derive the demand functions.Suppose the firms simultaneously compete in prices. Use the inverse demand functions that you have derived in part (ii) to determine the best response functions. Are the prices strategic substitutes or complements? Explain your answer.Determine the Bertrand equilibrium outcomes consisting of the equilibrium outputs, prices and profits of each firm. Chinese Transnational Policing Gone Wild110 Overseas The last decade has witnessed the rapid spread of telecom and online fraud globally, which seriously infringes on people's legitimate rights and interests, becoming a prominent crime and a public hazard. To address this problem, the Chinese police have been committed to intensifying their efforts in the combat against and control of such crimes, and strengthening international law enforcement cooperation, which has enabled them to accumulate successful experience, build up best practices and set examples for their counterparts around the world.Upholding the people-centered principle, the Communist Party of China and the Chinese government have attached great importance to countering telecom and online fraud. Equal importance has been given to both combat and control. An efficient multi-department collaborative working mechanism has been established, and the Anti-telecom and Online Fraud Law has been formulated and enacted, which provides a strong legal foundation. Targeting the characteristics of such crimes, the Chinese police have conducted specialized study and research, set up specialized task forces, initiated specialized investigation against major cases and utilized specialized techniques. The Chinese police have synchronized their efforts both internally and externally, and launched a series of campaigns and operations, effectively curbing the high momentum of these crimes, retrieving a large number of economic losses, and winning wide recognition from the public and the international community. During their international law enforcement engagements, the Chinese police frequently received requests from their counterparts to share their experience and effective practices in this field.Telecom and online fraud is a typical transnational organized crime. Fraud dens are often located across countries and regions, targeting vulnerable individuals and groups regardless of their nationalities. The Chinese police, through international law enforcement cooperation, have joined hands with their international counterparts to carry out operations and achieved significant results. Operation Great Wall, jointly launched with the Spanish police in 2019, has become a successful example of transnational law enforcement cooperation. From March to June this year, China, together with 76 INTERPOL member states, jointly participated in the anti-fraud Operation First Light initiated by INTERPOL, which destroyed 1,770 fraud dens in as many countries, arrested over 2,000 suspects and intercepted more than US$50 million in illicit funds. It was also found that some Chinese citizens were involved in fraud activities abroad, and the majority of them were tempted by the promise of high payments, cheated and coerced into being smuggled abroad, and some of them were kidnapped and detained illegally, and a few of them were even beaten and abused to death in the criminal dens. The Chinese police, together with relevant departments, have actively carried out rescue and education, and encouraged them to return home through international law enforcement cooperation, and made every effort to provide assistance and employment. The immigration authorities, in accordance with the provisions of the Exit and Entry Administration Law, have taken necessary measures such as restricting the exit of persons engaged in telecom and online fraud.According to an officer with the Ministry of Public Security, the criminality of telecom and online fraud is characterized by its specialization, industrialization and being increasingly organized and transnational, amid the rapid development of global digitalization. As an emerging new-type crime, it is a very difficult problem for governments of various countries to tackle and control, and thus it has become one of the major challenges facing police forces across the world. Joining hands in combating this newly developed fraud is the shared responsibility of the police of all countries and also the unanimous consensus of the international community. Public security agencies across China are determined to earnestly enforce the Law of Anti-telecom and Online Fraud through strengthened cooperation with their international counterparts and reinforced domestic efforts in fighting the crime, so as to prevent it from further spreading, and to bringing the fraudsters at large to justice. 3. Let R be the region bounded by y = 2-2r, y = 0, and x = 0. Find the volume of the solid generated when R is rotated about the x-axis. Use the disk/washer method. 2. Find the area of the region bounded by x= = 2y, x = y + 1, and y = 0. I need help on 3, 4, 5, 6, 7 A white pool ball of mass 0.5 kg moving at 10 m/s collides with a 0.4kg red pool ball initially at rest. After the collision, the white pool ballcontinues in the same direction with a velocity of 1.1 m/s. Neglectingfriction, the velocity of the red ball after the collision is m/s. most taste buds are located in __________, peglike projections of the tongue mucosa. In the figure below, =m2=134. Find m1. Proteins go to the _____ for packaging. You are a member of an alpine rescue team and must get a box of supplies, with mass 3.00 kg , up an incline of constant slope angle 30.0 so that it reaches a stranded skier who is a vertical distance 2.60 m above the bottom of the incline. There is some friction present; the kinetic coefficient of friction is 6.00102. Since you can't walk up the incline, you give the box a push that gives it an initial velocity; then the box slides up the incline, slowing down under the forces of friction and gravity. Take acceleration due to gravity to be 9.81 m/s2 .Use the work-energy theorem to calculate the minimum speed v that you must give the box at the bottom of the incline so that it will reach the skier.Express your answer numerically, in meters per second. In 2017, a rock band held a concert in Atlanta, Georgia. The attendance was 53,500. However, in 2018, they returned to Atlanta, but the crowd was only 41,900. What was the percent change in crowd attendance from 2017 to 2018? *An increase of 21.68%An increase of 27.68%A decrease of 21.68%An decrease of 27.68%