7. Let n E Z. Prove that 9n3 6 (mod 27).

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Q: 20.4 m 22.4 m I 17.6 m 8.4 m 27.6 m

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Q: Solve the quadratic equation using the quadratic formula.

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Q: 62 62-25 9. 6+5 9. 1 62-25 6-5

A: a2 - b2 = (a+b)(a-b)

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Q: 7. Fred has 5 dogs. He is giving out b amount of treats to each of his five dogs. Write an…

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Q: Find a basis for the nullspace of the matrix. (If there is no basis, enter NONE in any single cell.)…

A: The given matrix,  A=7224-3-1-1-26212-12-4-2-3

Q: a. 4.25 X 3.10 = b. 3.75 X 7.35 = c. 83.126 X 8.12 = %3D

A: We can solve this as follows:

Q: (a) Let v, = and V3 = 2. -9 - Express v as a linear combination of those vectors. 8. Let v = 8 V =…

A: Here we have to find the vector.

Q: Neatly graph the rational function f(x) = X. Show all asymptotes with dashed lines. Fill in the…

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Q: 3. Simplify. 12ab-4b a) 10xy b) 5x²y-15xy -6ab

A: Part a,Given,           12ab-4b2-6abTo find : Simplify

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Q: Foctor Completely. ithe pynunmialis nat fuclorable, write prime. Lon -lln-2

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Q: 4c + 36 ÷ 3 + 4(1+2) if c = 5

A: BODMAS Rule: B - Brackets O - Order of powers or roots D - Division M - Multiplication A - Addition…

Q: A father deposited a total amount of P88,500 on two different investments. The first investment…

A: Formula:final amount = principal amount(1+rt) Let, the first investment=xThe second investment…

Q: AzL1,2,3,43: B= {2,4,0 ,83, what is AUB? P: is Nontay what' is p what is x -y<32 in words? 10n8…

A: The union set includes all the elements in the given sets Please note: in bartleby we are allowed to…

Q: Given A(4,5) B(5,5) and C(-4,-7) What is the perimeter of ABC?

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Q: Convert the equation f(t) = 185(1.18)' to the form f(t) = ae. write your answer using function…

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Q: In the set of functions C[0, 7] determine what of these two functions is convex (f"(x) > 0) and what…

A: In this question we have to find the which function is concave or convex.

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Q: Suppose you are given a square with an inscribed circle as shown below. If the area of the square is…

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Q: determine whether the binary  operation * defined by a*b=ab gives group structure of Z. if it is not…

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Q: Solve the logarithmic equation. Write the answer in exact, simplified form. log(y)81=4  (y>0)

A: We can solve the given problem as follows:

Q: Write v as a linear combination of u and w, if possible, where u = (2, 2) and w = (2, -3). (Enter…

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Q: Write a Program to reverse a given 5 digit Integer number.

A: To find: The reverse of a 5 digit integer number

Q: 3. How many groups van can be formed from 8 students taking at least two at a time?

A:

Q: ​Betsy, a recent​ retiree, requires ​$5,000 per year in extra income. She has ​$70,000 to invest and…

A: Besty a recent retiree and she required $5000per year in extra income.$70000 invest in b rated bonds…

Q: Question Two Solve For x in the following i. 2x+3 = 21-x + 15

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Q: For each set of three lengths, determine if they can be the side lengths of a triangle. Can be side…

A: Explanation of the answer is as follows

Q: Find a basis for the eigenspace corresponding to each listed eigenvalue of A below 7 20 A= -4…

A:

Q: Determine whether the set of vectors in M2.2 is linearly independent or linearly dependent. -2 52 2…

A: A= [2  -2]     B = [5  2]            C = [2  -7]       [5  4]             [-3  3]…

Q: 2x3 + x? 9 a Find the quotient and remainder when x b Hence find a and b so that x* - 2x + x2 + ax +…

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Q: In a geometric sequence, the first term is 3 and the common ratio is 2. What is the sum of the first…

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Q: Conside polynor Based c degree or odd? leading -5 Use cursor to interact with graph The degree is…

A: We have to choose the correct option from the given options according to the given information

Q: The population of a town has been growing, following the equation P number of restaurants in the…

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Q: Solve for the following: 1. A team of 17 softball players needs to choose three players to refill…

A: Note: In the given questions there are only 4 questions.there is no question number 5. So according…

Q: Prove that GL(2,R) is not an abelian group

A: Solution is given below:

Q: An ant colony resided in a once-empty home that was recently purchased and treated for pests. The…

A: Note: Since you have posted questions with multiple subparts we will solve the first three parts for…

Q: 0 0 1. The eigenvalues of the matrix B = 2 -1 0 are given by Select one or more: 1 = 3, 1 =1 and A =…

A: The given matrix is: B=1002-10315   To calculate the eigenvalues, B-λI=0

Q: In a student organization, there are 11 freshmen, 8 sophomores, 19 juniors and 24 seniors. 1. How…

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Q: 3x+5 3. 2x-X メ-3

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Q: the rAm t twico a and b A Jumby! f(x]=X-/ a(x)=5xj What is tglx)?

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Q: 8 The eigenspace of the matrix C = -3 corresponding to the eigenvalue d = -1 is given b 18 -7 Select…

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Q: QUESTION 6 Simplify the following and leave in radical form. V52 +4/24 -54

A: Simplify the following

Q: 2. For a certain type of tree the diameter D in feet depends on the tree's age t in 5.4 years. This…

A: Find the diameter of a 20 year tree

Q: The measure of the largest angle in a triangle is 100° larger than the sum of the measures of the…

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Q: Find the area of this trapezoid. Be sure to include the correct unit in your answer. 3 in S in 7 in…

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Q: In 1983, the bison population in Yellowstone National Park was estimated to be only 50 animals…

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Q: In a study on the speed of muscle contraction in a certain species of frogs under various loads,…

A: (A) Here, the approaching value of v(x) is the limiting value of v(x) when x tends to infinity.

Q: Let X = {-2, 0, 2} and let P(X) be the power set of x (the set of all subsets of X). A relation U is…

A: Given: Here, we have X=-2,0,2 and PX is the power set of X. The relation U is defined on PX, such…