If m:n is equal to 3:4,what is m if n=16

Q: 2. If mZMKL = 83', MZJKL = 127', and MZJKM = (9x – 10)", find the value of x. M. K

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Q: 2. If P = {x|0 ≤ x ≤ 10} and Q = {x|5 < x < 20}, a) Find Pn Q b) Is 5 € Pn Q? c) Is 10 € Pn Q?

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Q: If m and n are integers and m x n = 0, then what is true for the values of m and n?

A: If m and n are integers and m×n=0

Q: Based on Theorem 4.4.3 P.169, when n > 2, which of the following is biggest? 1. n! 2. n^n 3. (n!)^2…

A: We have to find biggest number among of them

Q: 7. Apply Lagrange interpolation formula to find k, given that P2(3) = 35 2 5 f (x) 2 k 275

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Q: Given n(S)=31n(S)=31, n(T)=18n(T)=18, and n(S∪T)=45n(S∪T)=45, determine n(S∩T)n(S∩T).

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Q: Are (D+(m*13/12))/2 and ((D+M)/2) +2.5 and [D+ (m+5)]/2 equivalent? If so, show how. If not explain…

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Q: : Answer the following 1- Let s = = {+:n € N}. Find max(s), min(s), sup(s), inf(s).

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Q: 2- Show that: (-1)m (2m + 1)! NIE

A: Solution:     Definition of Bessel's function:

Q: and g(n) is O(H), the

A: Given: f(n)=O(n2) and g(n)=O(n) We have to check that given statement is true or false.

Q: If (ax+bx) = and k-1 n+1 8. E = 4 , then ar (ar-br) - k-1 n+2 k-1 O None 2 1/2

A: •  using elimination • find limit for n =infinity

Q: If e = 23, then z 4x

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Q: Given the explicit definition: tn = 3" - 8n, find t7.

A: Given that:  tn= 3^n -8n

Q: Let floor(1) + floor(1/2) + floor(1/3) + …· + floor(1/n) = ceiling(0/1) + ceiling(1/2) +…

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Q: n is increasing, and those on w 3x + 5.

A: Introduction: The input values of a function f(x) where f(x) has minimum or maximum values are…

Q: Find a formula for sn, n > 1, if s, is given by 2 3 4 6 - - - 3' 5'7' 9 ' 11

A: We have to find Sn

Q: for n>2, 5 . Deermine for whpch n, n2-2 let |anlく,

A: Given  an = 5nn2-2

Q: Show that for any n E N, 7(15".

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Q: Given W WN = 5x + 1 IN= 12 N WI= 6x – 14 Find x Find WI

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Q: 4 A. 1 B. 2 C. 3 D. 4 If the correct answer in (2) is equal to -λ, how many case/s is/are possible?

A: If the equation obtained after the separation of variable is equated with -λ. then the number of…

Q: #4 (Greenwell, #52, p. 271) The number of people P(t) (in hundreds) infected t days after an…

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Q: 2. If X is N(3, o² = 4) find (a) P(X < 3). (b) P(X <5), (c) P(X < 1).

A: Given that X is Nμ=3, σ2=4 i.e. X~N(μ=3,σ=2) Then Z=X-μσ follows standard normal distribution i.e.…

Q: E, Ilmakes Ing (а) 0. (b) {1}. (с) 0. (а) {1,2}. (е) 1024 (f) 3002 _{1,2} _{1,2} {2" |n € N} {3п —…

A: We have to use simple logic to solve the given problem.

Q: The exact answer is egual to e 26(e - 1)/2 or approximatelv 4.3894 x 1O-12.

A: Let's find.

Q: If the mth term of an A.P is 1/n and the nth term is 1/m, show that the sum of mn terms is 1/2(mn+1)

A: In this question we have to prove sum of mn terms is 12mn+1 We know, A.P, for mth termam=a+m-1dand…

Q: a) Suppose, T(n) = 1²+2²+3²+..+n2. Show that, T(n) is in O(n³). %3D .....

A: Big-⊖Notation: Let f and g be real valued functions and assume g is eventually position. We say that…

Q: For how many n E {1,2, ..., 490} is na multiple of one or more of 9, 8, or 7?

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Q: Consider, C = {x: x = 3n, 1 ≤ n ≤ 4, n ∈ N} D = {x: x = 2n, 1 ≤ n ≤ 6, n ∈ N} What is C ∪ D?

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Q: Show that for all n e Z, n? – 3n +17 2. -

A: Given: For all n∈ℤ, n2-3n+1≠2

Q: 1. If RX is 9, XV is 2 and TX is 6, find XS.

A: As per guidelines, we will solve first question only. 1. Given  RX¯=9, XV¯=2, TX¯=6

Q: If 2 and 3 are two geometric means between m and n, find the value of m.

A: We use the formula Tn=T1rn-1 where r is the common ratio.

Q: If mZNSM = 71°, then what is mZLSP? L. R 1 K 3 2 M

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Q: If SSY is 25.5 and SSY' is 18.3, what is SSE?

A: It is given that SSY=25.5 and SSY’=18.3 Assuming that SSY is the total sum of squares and SSY’ is…

Q: If (ar + br) : 8n and n+1 %3D k-1 (ak - br) +, then E ak = n+2 k-1 k-1 None 2.

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Q: It is known to be Q∼N.Show that QxQ∼N

A: I have proved using infinite cardinal numbers and its algebra

Q: It is known ", but it is clear that n=0 +1+4+16 + 64 +... Why does choosing x 2 not work in the…

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Q: If mZLKO = 82°, then what is mZJKG? B E →F N K M

A: lines OJ and GL intersect each other at K so the angles form through these lines are vertical angles…

Q: If z1=cis(pi/3) and   z2=cis(pi/5),  what is      (z13/2)( z25/2 )  ?

A: Here , we will use De Moivre's  formula.  We know ,    i = sqrt( -1)                      i2 = -1

Q: c) Multiple Segments for n = 5

A: In this question, concept of Simpson Rule is applied. Simpson Rule We'll utilize parabolas to…

Q: If (ar + bx) = 4n and n+1 k-1 (ak - bx) = , then > ak = n+2 k-1 k-1

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Q: (a) If n=(A)=2 and n=(A')=6, find n(E)

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Q: Find a formula for Sn, n > 1, if sn is given by 6 7 3' 5' 7' 9' 11 4 8 - Sn =

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Q: In Euler's method, wk = y(tx) for k = 1, ..,n. Select one: O True O False

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Q: 5. Theorem ZM = LL=. K 110° 60° M N

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Q: Find a formula for sn, n > 1, if sn is given by 4 5 7 8 8' 11' 14' 17 Sn =

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Q: If var(e) → 0 as n → 0, then 8 is said to be

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Q: 9. In the given problem in #8, If John buys 10 bolts, what is the maximum number of nuts he can buy?…

A: Given that  Total money does John had =php2000 Cost of each nuts=Php 80 Cost of each bolt=Php 100 To…

Q: (35 Show that the following grephes are Hameltonian 8) e a) d c) a ol

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Q: Consider the problem of choosing r students from a group of 32 students, m of them are men, to work…

A: The number of men in students is m. The number of other students is 32-m. A team of r persons is to…

Q: Show that yn Z, if n³+5 is odd then n is even

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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.