Find the order of 175 in Z_245

Q: Suppose you draw n lines in the plane so that every pair of lines cross (no lines are parallel) and…

A: Let n be the number of non parallel lines. Given that number of regions= Rn Let Un represent maximum…

Q: Prove that Master Cheng has won precisely 21 times in a row during some consecutive days.

A: Please find the solution

Q: Find all three-digit numbers with different digits with the property that those numbers are…

A: Given that it is to be found all three-digit numbers with different digits with the property that…

Q: Find the number of positive integers X smaller than 12849 which have exactly 2022 positive divisors

A: Theory : Total no of divisor of a number, If its prime factorization, given by ∏i=1hpiai Where p is…

Q: he Thomas algorithm

A: What is Thomas algorithm ?

Q: Show that 8.

A: A∞=Max∑j=1naij  for i=1 to n=maximum row sumA*=AT=ajiA*1=Max∑i=1naji  for j=1 to n=maximum column…

Q: If there are a total of 8 chocolates be given to to three children such that each children receives…

A: Given: 8 chocolates  are to  given  to 3 children such that  each children receieves at least two…

Q: Find gcd(1000, 65) and lcm(1000, 65) and verify that gcd(1000, 65) · lcm(1000, 65) = 1000 · 65

A: find the gcd of two numbers 1000 and 65 as follows  make factors of 1000 1000=2×2×2×5×5×565=5×13…

Q: Expand with help of Binomial Theorem (- +)

A: Using the Binomial theorem, the binomial expansion formula for (a+b)n is given by the formula,…

Q: Show that im n /-

A: Limit of the sequence

Q: 2. From this model what is the simple model for Covid19 (corona) virus and how do you interpret.…

A: See the attachment

Q: One day you saw a news on Facebook about COVID-19. At 1 PM. you tagged the post to 1% of your…

A: This problem can be considered as recurrence relation problem.

Q: Use generating functions to determine the number of differentways 15 identical stuffed animals can…

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Q: How many bit strings contain exactly eight 0s and 10 1s if every 0 must be immediately followed by a…

A: Here we will use the concept of combination and the formula for combination is given by C(n,r) =…

Q: ZACB = LECD because of what theorem?

A: Given, Angle ACB= Angle ECD

Q: Define an odd number and show that the product of odd even numbers is also even.

A: We need to first define an odd number. And layer prove product of an odd and an even number is…

Q: Find: The sum of all positive integers less than 400 which are not divisible by 5.

A:

Q: Consider the partial order with domain{3,5,6,7,10,14,20,30,60,70}and withx≤yifxevenly dividesy.…

A: Here the given  set is {3,5,6,7,10,14,20,30,60,70} and the partial order upon  this is defined by x…

Q: What least number must be added to each of the number 6,15,20 and 43 so that the resulting number…

A:

Q: Show that nlgn+3n ≠ θ(n2) , give visualization of the functions in a graph as well. This Question is…

A: Let us check  whether nlogn+3n=ϑ(n²) or not Definition for f(n)=(g(n)):ϑ(g(n)) Let f(n) and g(n) be…

Q: How many bijective functions have [10] as both the domain and codomain

A: Given, 10

Q: Show that, selecting 91 positive integers guarantees that there are at least 10 integers with the…

A:

Q: Use generating functions to find the number of ways toselect 14 balls from a jar containing 100 red…

A:

Q: Find the sum of those integers between 1 and 500 which are multiples of 2 as well as of 5

A:

Q: Find gcd(1000, 34) and lcm(1000, 34) and verify that gcd(1000, 34) · lcm(1000, 34) = 1000 · 34

A: 1000 can be written in the form of prime factors as 1000=2×2×2×5×5×5 34 can be written in the form…

Q: Prove that (1-x*)у ,-ху, +р'у-0

A:

Q: Prove ZDBF LEBF

A: To prove: ∠DBF≅∠EBF

Q: Create a proof for the fc

A: Given,           1.        ~R⊃~Q2.        ~R

Q: Provide 3 examples of the application of derivates (Indeterminate forms and L'Hospital's rule).

A:

Q: Find the recursive and explicit rule for -1, 3, 7, 11,... Recursive rule

A: This is a problem of series . Based on concepts and formulas we will answer the question.

Q: Find [7]^-1 in Z55 under multiplication.

A:

Q: Let Z, = {0,1,2,3,4, 5,6} where each x € Z, is a least residue when an integer is divided by 7. %3D…

A:

Q: Use generating functions to find the number of ways tochoose a dozen bagels from three…

A: Consider the provided question, Each variety is present at least 2 times in the dozen bagels, the…

Q: How many strings of length 6 decimal digits are there such that the first digit or the last digit is…

A: Since you have asked multiple questions here, we will solve the first question for you. To get the…

Q: Assume that 2n tennis player play 2n -1 days in a tournament, playing each day one match against a…

A:

Q: Define Recurrence relation and discuss its applications?

A: It is required to define recurrence relation.

Q: arrays used in both mul

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Q: Use syntheti division t deknnime k= -i in a zero of explaiin. fex)=x*+2x²+3X +2 the functui and

A:

Q: Find the ordinary generating function for the sequence 0,0,0,0,1,1,1...(Hint: it is not a…

A: We need to find an ordinary generating function. The sequence is 0,0,0,0,1,1,1,.... Consider:…

Q: Question 1. Show that if seven integers are selected from the first 10 positive integers, there must…

A:

Q: Find the sum of the first 80 positive even intergers.

A: Sum of the arithmetic progression with for n terms where a1 is the first term and an is the last…

Q: Find the number of words of 5 letters such that each can be formed with the letters of the word…

A: We need to find number of 5 letters that can be formed by given word without repetition.

Q: Find two positive integers such that the four times loo0 and the product large as possible. the .…

A:

Q: Write down the the cardinal functions for these 5 nodes , and use the Lagrange polynomials to…

A: Given- Consider the hyperbolic tangent function tanhx = expx - exp-xexpx + exp-x where x ∈ -2, 2.…

Q: Suppose that the number of bacteria in a colony triples every hour.a) Set up a recurrence relation…

A:

Q: Find the first 4 terms of Toaylor Polyuocuial generated by fCx)= xlnx at a=2.

A: We find first four terms of Taylor polynomial generated by f(x)=xln(x) at a=2.

Q: Let Z, = { 0, 1, 2, 3, 4, 5, 6 } where each x e Z, is a least residue when an integer is divided by…

A: (4) Given that ℤ7=0, 1, 2, 3, 4, 5, 6, where each x∈ℤ7 is a least residue when an integer is divided…

Q: Find the CharacterIstic of za

A: Consider  Z9