1-In ) + In(2x³) = In3

Q: Solve    In 5/3

A: According to the natural logarithm quotient rule, lnxy=ln x-ln y. Expand the expression ln 53 by…

Q: How many 3-digit positive integers exist that when divided by 7 leave a remainder of 57

A: 3 digit positive integers start from 100 and ends with 999. Least positive 3 digit integer which…

Q: Explain why In 4 is greater than 1 but is less than 2.

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Q: How many independent variables are there in a 10 x 2 x 6 x 2 factorial design?

A: Independent variables in 10×2×6×2.

Q: Find the largest number δ such that if |x − 2| < δ, then |5x − 10| < ε, where ε = 1.

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Q: The sum of any two integers of the from 4k+ is always: a) prime b) zero c) Even

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Q: Show that the sum of the cubes of the first n positive integers is (n(n + 1)/2)^2

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Q: . Bricks are stacked in 20 rows such that each row has a fixed number of bricks more than the row…

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Q: Show calculations

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Q: 8. Theorem . mCF 41 53

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Q: V23n2 –1 In=1

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Q: how many coefficients must be determined?

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Q: Prove that the sum of any three consecutive numbers is divisible by 3

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Q: does there exists   ______such that if n is divided by 5 the remainder is 2 and  if   ?

A: We have to check whether there exist n such that if n is divided by 5 then remainder is 2. Let if n…

Q: Can a number N, sum of whose digits is 21345, be a square of a natural number?

A: Given: a number N, sum of digit is 21345

Q: not sigmal square is equal to sigma 2 square

A: From Given Information  To test: H0:σ12=σ22VersusH1:σ12≠σ22

Q: In=) + In(2x³) = In3

A: Use the property, ln a +ln b=ln (a·b) to simplify the left hand side of the equation, ln 1x +…

Q: How many mombers between 50 and 200 can be expressed as 4k-1, where k is an integer?

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Q: In(n)

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Q: In n

A: Given as, an =Innn3

Q: 2 In (x + 2) – į In x = 1.

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Q: The height of 10 plants is measured in inches and found to be 12,6,15,3,12,621,15,18 and 12. Verify…

A: We know that, Mean, X bar = (summation Xi)/m Here n= 10 X bar = (12+6+15+3+12+6+21+15+18+12)/10 = 12

Q: Expand the expression for Mr Taylor.

A: The previous solution is incorrect. Please follow this one.

Q: What is the largest number x such that x<200 and x has exactly 4 factors?

A: Factors:    Number that are multiplied together to get a product                              Factor…

Q: Find the largest number δ such that if |x − 4| &lt; δ, then |2x − 8| &lt; ε, where ε = 0.1.δ ≤ 1…

A: When ε=0.1 and δ≤1Simplifying the absolute value inequality:

Q: Find the largest number 8 such that if |x – 3| < 8, then |2x – 6| < ɛ, where ɛ = 0.5. Repeat and…

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Q: Assume that in a given year the National Basketball Association has 28 teams, which are split into…

A: The Orlando magic plays four games against each of the other four teams in the division. So, in the…

Q: Factor. 85. х — хt 86. х + хh 87. х2 + бху + 9y2 88. х2 - 10ху + 25у2 89. х2 — 2х - 15 90. х2 + 8х +…

A: Since you have posted a question with multiple sub-parts, we will solve first three sub-parts for…

Q: %24 Find the amount of mor answer completely. Ass

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Q: How many integer solutions to x1 + x2 + x3 + x4 = 32 are there for which x1≥6, x2 ≥5, x3 ≥3 and x4…

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Q: 3 Show thet x+3x+2 has four in 76 zenos.

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Q: A person coughed up 6 COVID viral particles, which infected their best friend. The infected friend…

A: Here, a person coughed up 6 COVID viral particles, which infected their best friend. The infected…

Q: So what's the final value of x1 x2 x3 and x4? indivually

A: Answer :  No value  the system of equations does not converge to any value. so there doesn't exist…

Q: that if 3 divides the sum of the digits of n, then 3|n

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Q: A new square is formed by joining the midpoints of the consecutive sides of a square 8 inches on a…

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Q: Prove that the sum of the squares of three consecutive integers cannotbe a square.

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Q: How many zeroes does 188! end with?

A: count number of five's in 188, 5*2=10 . Divide 188 and write quotient again divide quotient again by…

Q: Without expanding completely, find the indicated term(s) in the expansion of the expression.

A: The expansion of an general expression is given by (a+b)n=∑nkan-kbkk=0n  so any term can be found…

Q: How many integer solutions to x1+ x2+ x3+ x4 = 36 are there for which æ1 > 5, x2 > 3, x3 > 5 and æ4…

A: We have to find the number of solutions to x1+x2+x3+x4=36 for which x1≥5, x2≥3, x3≥5 &amp; x4≥6.

Q: proximat 5 in [2, 3) 11

A:

Q: countable in number, such that

A: Given : W=Iα:α∈A is a collection of open intervals, then there exists a sub-collection , say Ii :…

Q: Find of 12.2U2)

A: Solution: The objective is to find the arc length of the given curve

Q: How many squares of any size are in an 8x8 checkerboard using Polya's Four step method

A: Polya's created a famous four step process for problem solving which is used all over to aid people…

Q: How many integer solutions are there to 1 +X2+X3+X4+Xs=31 with

A: Given, x1+x2+x3+x4+x5=31 Number of Solutions when xi≥0 and xi&gt;0.

Q: A box with a square base and no top is to be made from a square piece of carboard by cutting 2 in.…

A:

Q: If A= Matric shown in photo, what is the entry in the second row, third column of A^2?

A: The given matrix is A=a-b1-d-1-ba0d. Matrix Multiplication: Multiplying matrices can be performed…

Q: the acdjainbaf square of As of 2.

A:

Q: Solve the equation.

A: given,         log x=1- log (x+2)

Q: Show that a 6 × n board (n ≥ 2) can be tiled with L-shaped tiles, without gap and overlapping. Each…

A: Before we begin proving the statement, we shall understand the shapes. An L-shaped three-square tile…