Decide whether R \ Q is countable or uncountable, and prove your answer. You can use what you know about the sizes of R and Q.

Q: Find the value of n(An B) if n(A)= 6, n(B)= 9, and n(A U B)= 11. n(An B) =(Type a whole number.)

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Q: If 4cos2θ+8=12, where 0≤θ<2π, what are the values of θ?

A: values=?

Q: Produce the least positive number that is divisible by​ 2, 3,​ 4, 5,​ 6, 7,​ 8, 9,​ 10, and 11.…

A: Given Produce the least positive number that is divisible 2, 3,​ 4, 5,​ 6, 7,​ 8, 9,​ 10, 11.…

Q: a d * a a b a b b a d a d d d d

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Q: et A = {1,2,3,4, 5, 6}. a. How many subsets of A are there? That is, find |P(A)|. 64 b. How many…

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Q: Use the Venn diagram to determine n(A'). one 2$ four 15 seven ... n(A') = %3D

A: In order to find n(A') we need to find set A' by using the Venn diagram.

Q: If a number N is divisible by both 4 and 12, then which of the following must be true? i. N is…

A: We have to find a integer such that that number is divisible by 4 and 12 and check whether which…

Q: 3. Consider a set of numbers B = {n E Z|1<n< 900} Answer the following questions. (a) How many…

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Q: Let the set B={−23,−16,−7,−2,20,36,48,72}. How many ways are there to choose a positive or an odd…

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Q: Answer the following questions. Give justifications and explanations when needed. c) At an…

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Q: 4. The Rocket Coaster has 15 cars, some that hold 4 people and some that hold 6 people. There is…

A: Let the number of 4 -passenger car is x. and, the number of 6 -passenger car is y. then as the given…

Q: determine the value of c(n,5) /p(n,5) where n can be any integer thats 5 or greater

A: Recall the following. Permutations Number of permutations of n things taken r at a time: pn,r=n!n-r!…

Q: If a number N is divisible by both 4 and 12, then which of the following must be true? i. Nis…

A: Thanks for the question :) And your upvote will be really appreciable ;)

Q: Which Pythagorean triple can be created with the restrictions 4≤x≤5,6≤y≤7, and x≠y? Assume the…

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Q: d the number of permutations of a rectang

A: Concept: Since total number of permutation of choosing "r" points out of "n" point is:

Q: Determine whether the statement is true or false. If it is true, explainwhy. If it is false, explain…

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Q: What is the smallest subset containing v100? Irrational Numbers Whole Numbers Natural Numbers…

A: Given query is to find that which subset contains the number given number.

Q: determine whether −→AB is equivalent to −→P Q. A = (1, 1, 1) B = (3, 3, 3)P = (1, 4, 5) Q = (3, 6,…

A: determine whether −→AB is equivalent to −→P Q. A = (1, 1, 1) B = (3, 3, 3)P = (1, 4, 5) Q = (3, 6,…

Q: (d) Given the word PERMISSION, in how many ways can all the letters be arranged if (ii) Number of…

A: (d) (ii) It is been asked to find the number of possible arrangement of all letters in word…

Q: ​Find, if​ possible, the number of elements in sets​ A, B, and C using the given information. If…

A: Given information A∩B=∅ n(A∩C)=2​ n(B∩C)=12 n(C−A)=20 n(A−C)=9 n(U)=31 We have to find the ​n(A),…

Q: D) What is (goh) '(I)? E) Is h(R) countable?

A: Please find the answer in the next step

Q: Write all permutations of the letters A, B, C, and D if the letters B and C must remain between the…

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Q: Given N is a positive integer less than 31, how many values can n take if (n + 1) is a factor of n!?…

A: When n+1 can be factored, such that the numbers are available in n!, then we get the required n…

Q: If a number N is divisible by both 4 and 12, then which of the following must be true? . Nis…

A: Number system problem

Q: 18) If a and b are negative and c is positive, determine whether the following are positive or…

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Q: w many different three-letter codes are there if only the letters A, B, C, D, and E can be used and…

A: Given query is to find the number of 3 latter code can be made out of ABCDE .

Q: Assume that n(U)=130, n(B′)=62, n(A∩B′)=31 , and n(A∩B)=35. Find n(A∪B):

A: Given that n(U)=130, n(B′)=62, n(A∩B′)=31 , and n(A∩B)=35.   From n(B′)=62 we…

Q: a) Arrange the digits 0, 0, 2, 2, 3, 5, 7, 8, 9 to make a 9-digit number that is divisible by 2, 3,…

A: Use divisibility rules to easily solve the problem in the least time possible.

Q: O real, irrational, and unequal

A: Given: The polynomial is 9x2 + 3x - 4 = 0 .

Q: d) Let A be the set of integer multiples of 8 and let B be the set of odd integers. Is {A, B} a…

A: We have to solve above question

Q: Let ab be a two-digit number where a is the tens digit and b is the ones digit. Find the number of…

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Q: Determine whether the below given statement is true or false. If the statement is false, make the…

A: Given statement is 4×103+3×102=4.3×103 To determine whether statement is true or false. Solution:…

Q: 2. Which of the following sets does not contain any inrational numbers? a. (-5.12, 1, 30) c.(, VT00,…

A: The sets are, -5.12, π, 30 92, 100, 5.123 80, 100, 6.56 5.123....,12, -65

Q: Is it true that, if k > n and B is full rank, then rank AB (ii) = rank A? Justify your answer.

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Q: Let A = {8,√17^2−15^2  , 34mod7}   and   B = {14mod8} Is A ⊆ B? Explain why or why not.     Is B…

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Q: a) Arrange the digits 0, 1, 1, 1, 2, 4, 5, 6, 7 to make a 9-digit number that is divisible by 2, 3,…

A: (a) Divisibility test of 2: The last digit of the number will be 0, 2, 4,  6, 8. So, the required…

Q: Evaluate z=x−μσn if x=92.4​, μ=17.8​, σ=1.2​, and n=63

A: Given, n=63, x=92.4​, μ=17.8​, and σ=1.2​

Q: Let B = {dog, house, cheese, book, car, phone, egg, square}. How many subsets does B have? How many…

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Q: 22. Marcus recorded the side lengths of four squares in the table below. Side Figure Length Square A…

A: Area= side  square

Q: Written Respons 1) A school's debate team consists of 9 students and must consist of at most 3 boys.…

A: Given- A school's debate team consists of 9 students. 12 boys and 9 girls try out for the team. The…

Q: Use the 'Permutations' formula to evaluate the expression P(29, 3).

A: Given that the expression: P (29, 3) The permutation formula is given by, Pn,r=Prn=n!n-r!…

Q: .. Consider the word "ADDISABABA" In how many ways can the letters of the word be arranged? In how…

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Q: 3. Find and show how to find I (6.45). T(5.45)= 48.3038. T(6.45)=

A: 3 Given that 5.45=48.3038. We have to find the 6.45. Use the gamma function property, If x&gt;0 then…

Q: If a number N is divisible by both 4 and 12, then which of the following must be true? i Nis…

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Q: 3. Let r and y be positive integers. If r divides y and y divides r, then r y. 4. Let a, b, c E Z.…

A: According to our guidelines we can answer only one question and rest can be reposted.

Q: [Q1] How many 4-letters codes can be formed from the 9 digits {1, 2, ..., 9} if: (a) the order of…

A: First understand,  Order matters=  permutation  Order doesn't matter = combination We have to…

Q: Assume that n(U)=140, n(B′)=68 , n(A∩B′)=35, and n(A∩B)=36.   Find n(A∪B):

A: From the given information we find number of A union B.

Q: Prove (without expansion) a b c d |-b -d d -b = (a? + b? + c? + d?)? a a |-d -c b a

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Q: Let n(A) = 4, n(A ∩ B) = 4, n(A ∪ B) = 10. How many elements are there in B?

A: Given,  n(A) = 4, n(A ∩ B) = 4, n(A ∪ B) = 10