Equation: Prove that x + y =n where x and y are any two primes n is 24

Q: Determine whether the statement is true or false. If it is false, explain why or give an example…

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Q: What is 15% of 60? Showing all work.

A: x% of y =xy100

Q: Every number n in the interval 2.75 < n < 2.85 equals 2.8 when n is rounded to the nearest tenth.…

A: Given :  Every number n in the interval  2.75 ≤ n &lt;2.85 equals 2.8 when n is rounded to the…

Q: A teacher places n seats to form the back row of a classroom layout. Each successive row contains…

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Q: find all possible values of integer n if x^n - y^n is harmonic.

A: The objective is to find all possible values of integers n such that xn-yn is harmonic. Suppose…

Q: З and an - - 3ап-1 + an-2 for integers n>2. Evaluate and d4: Let a, = 2, a2

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Q: Use the formula for nCr to solve, A four-person committee is to be elected from an organization’s…

A: Given that total number of people = n= 11 We have to pick r=4 people from those 11 people.  We know…

Q: The student health center at a university treats an average of seven cases of mononucleosis per day…

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Q: a. Find all pairs of integers such that one is a multiple of 7 and the other is a multiple of 11 and…

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Q: n = P₁P2···Ppk where the pi are distinct primes. Show that µ(d) = (−1)k µ|

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Q: B. Solve for the indicated term of each expansion. 1. The 7" term of (xi -- 10

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Q: Alan, while snooping around his grandmother's basement stumbled upon a shiny object protruding from…

A: Given,  If you flip this coin an infinite number of times you will notice that heads will show 60%…

Q: On the math exam, 5 tasks were given. 25% of students solved at least two tasks. Prove that there…

A: Given: 5 task  Total students : 32

Q: Using direct proof method, prove the following. If n is an even integer then n² + 11 is odd. Answer:

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Q: (3і - i = 1 2 (3i – 2) = n(3n - 1) 2

A: By using the principle of mathematical induction prove that  ∑i=1 n(3i-2)=n3n-12

Q: You begin solving a jigsaw puzzle by finding two pieces that match and fitting them together. Every…

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Q: Choose what method of proof to use always provide solution.   a) Prove that if the sum of any two…

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Q: Express in terms of sums and differences of logarithms

A: According to the given information it is required to write the expression in terms of sum and…

Q: 0. Is it possible to find nonzero whole numbers m andn such that 11" = 13"? Explain. %3D

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Q: V5 +3 v3 - E-2 where k is an integer to be found. V5 + V3 Without using a calculator, show that Cs…

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Q: ) verity by induction the correctness of the solution of recusive equation for the ruming time of…

A: Since you have asked multiple questions, we will solve the first question for you. If you want any…

Q: To = 5; 2Tn = nTn-1+3 n!, for n>

A: *Answer:

Q: Discrete

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Q: Using an algebraic proof, prove that x is an even number, then x2 + x is an even number.

A: Here we have to prove that, If x is an even number, then p(x)=x2+x is an even number.

Q: Show all your work to get credit 7 Find a formula for l, where m is a positive integer.

A: To find - Find a formula for ∑s=1ms3, where m is a positive integer.

Q: 10. Determine three positive numbers whose sum is 48 and such that their product is as large as…

A: find the three positive number.

Q: 3 find the muItiplicity find the end behaviar

A: Explanation of the answer is as follows

Q: At 7 a.m., a colony of 100 bacteria is placed on a petri dish where the population will triple every…

A: Given that: At 7 am, Number of bacteria  = 100The bacteria population triples every 6 years.

Q: Sum (n=0, infinity) (-1)n 22n+1/(2n+1)!

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Q: 3rd term of gp is -108 6th term of gp is 32. Find 1st term

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Q: using

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Q: Q1) Find the value of the eighth term for the consequence after finding nth * terms 8, 4.5, (5/3),…

A: Sol:- Given,    8,4.5,53,5.512By fitting the first four terms of the givensequency by third degree…

Q: (a) Use Newton's binomial theorem to calculate √50 with 4 terms. (b) What is the coefficient of rir,…

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Q: Stretch Three positive integers have a sum of 10. How can you place the integers in the square…

A: Sum to3 positive integer is 10

Q: 6h term of a G.P. is 9375 and its 4th term is 375. ind its 9th term.

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Q: O Find mLABc 14° the Sum of the interi

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Q: A sequence a,jaziazo.. IS defmed by. a=9 anti= Zan-7 where q ヘ27 %3D IS a constant Given that: ak ム3…

A: The value of q is 8.

Q: (i) (ii) Show that 8; &k = &k Әхк Әхі Əхі Әхі чо

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Q: Please help me to write this as a proof.  Let n be an integer. If n is the sum of three consecutive…

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Q: Prove using direct proof. Include explanation.   If n is an even integer, then 7n + 4 is an even…

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Q: 6. Find the root using Regula-Falsi Method a) x* -x- 10 = 0 Ans. x = -1.697 and 1.855

A: As per our company guidelines, we can solve first question for you. If you want other question to be…

Q: 0 Explain why it is true that for any positive integer n, D" 0

A: Given statement is,

Q: Using direct proof method, prove the following. If n is an even integer then n2 + 13 is odd. Answer:

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Q: prove using proof of contradiction. include your explanation in writing your solution    If n is…

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Q: n+1-r (a) Suppose r is an integer amongst 0, 1, n. Prove that

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Q: (b) Use Newton's method to construct a sequence of rational numbers con- verging to √2. Google…

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Q: 6. (i) Sketch the proof of the existence of a positive number satisfying the equation a2 = 5. We…

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Q: rove that the sum of an even integer and an odd integer is odd.

A: Prove that the sum of an even integer and an odd integer is odd.

Q: Find the cube root 219 by using Bisection method, the initial guess are [5, 7]. After 3 iterations,…

A: The bisection method is used to find the approximation of the root of the equation fx=0 by…

Equations and Inequations

Equations and inequalities describe the relationship between two mathematical expressions.

Linear Functions

A linear function can just be a constant, or it can be the constant multiplied with the variable like x or y. If the variables are of the form, x2, x1/2 or y2 it is not linear. The exponent over the variables should always be 1.