Find the remainder when 1! + 2! + 3! + **. + 1000! is divided by 13.

Q: Find two consecutive positive integers whose product is 240.

A: (X)(X+1)=240X2+X=240X2+X-240=0(X+16)(X-15)=0

Q: : Express as a fraction with no indices.

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Q: Ifx= 211, what is the remainder whenx is divided by 227

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Q: What is the value of the 5th term of the expansion (2x-4)^4

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Q: of 8t^2 *

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Q: perform the operations as described. Subtract -x2 - 7x - 1 from the sum of 4x2 + 3 and -7x2 + 2x.

A: We have to subtract -x2-7x-1 from the sum of 4x2+3 and -7x2+2x. First finding the sum of 4x2+3 and…

Q: What two integers have a product of -63 and a sum of -2?

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Q: (b) Express 346 as the sum of the least possible number of squares of integers.

A: Question: Express 346 as the sum of the least possible number of squares of integers.

Q: find two consecutive positve odd integers whose product is 63.

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Q: express as a single fraction involving positive exponents only. a-2 - 2a-1b-1

A: Given expression is a-2-2a-1b-1.

Q: Explain why the product of an even number of negativenumbers is a positive number.

A: To prove: Product of even number of negative numbers result into a positive number.

Q: Express as a single fraction 3 2 + x+6 (a) x+1 4 (b) x+2 2 (x+2)2

A: Given expression.   (A) 3x+6+2x+1   Take Least common Multiple of x+6 and x+1. We get, LCM=x+6x+1…

Q: If 13th and 19th term of an AP are 4 and 8 respectively .which term of AP is zero

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Q: What is the last digit in the product of 31x3?x33x...x32018 x32019x32020?

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Q: what will be the remainder in 52020 is divided by 6?

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Q: hat is the coefficient of xk in 1+x+x4 divided by (1+x)5

A: This is the problem of combinatorial.

Q: find x ,x+2tanx=90degree

A: Start by converting degrees on the right side to equivalent radian angle:

Q: What is the 6tht term in the

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Q: Find the largest two-digit integer that leaves the remainders 2 and 3 when divided by 5 and 7.

A: Let x be the largest two-digit number which gives the remainder 2 and 3 when divided by 5 and 7 The…

Q: What is the Quotient and Remainder of 0 / 2?

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Q: Find all integers that leave a reminder of 3 when divided by 5,5 when divided by 7 and 7 when…

A: The given problem is to find all the integers that satisfies the given conditions. We have to…

Q: please help me with subpart 2! from 4-6

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Q: Find all integers that leave a reminder of 3 when divided by 5, 5 when divided by 7 and ´ when…

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Q: Find the 4th term ( 2x + 3)4

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Q: Find (5+2)² using identify.

A: Identity of perfect square: (a+b)2=a2+2ab+b2 We have, (5+2)2 We need to find the value of the given…

Q: SHow how to calculate 19 x 35 step by step by writing equations that use the distributive property…

A: In this question we have to do multiplication of 19×35 using partial product algorithm.

Q: What is the remainder when 3x – 2 is divided by 5x – 4?

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Q: Vhat is the remainder when 3x -2 is divided by 5x-4?

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Q: Find the positive integer which leaves the remainder 2, 3, 2  when it is divided by 7, 9 and 11…

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Q: List all the pairs of integers with a product of 30. Then find a pair whose sum is 13

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Q: insert 2 rational number between 1/3 and 1/2

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Q: Express as a single fraction 4 (b) x+ 2 (x + 2)2

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Q: 4. (4x + )(4x - ) +

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Q: give an example of a positive and a negative number whose product is somewhere between the two…

A: We know that    - 0.5< -(0 .25 )<0.5 We use this fact further.

Q: Express x8 - 9x9 + 2x5 + 3x -1 in big-O notation.

A: The given polynomial is: x8-9x9+2x5+3x-1 Let, T=-9x9+x8+2x5+3x-1

Q: List the possible remainders when the positive integer n is divided by 7.

A: We have to calculate possible remainders when the positive integer n is divided by 7

Q: Find the least four-digit number that gives the remainder 2 when it is ided by any composite one-…

A: The least four-digit number that gives the remainder 2 when it isdivided by any composite…

Q: Evaluate. n(3) = -x + 4x

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Q: Divide 25x3 13x + 1 by X 1. Indicate the quotient in the first blank - - and the remainder in the…

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Q: List all the pairs of integers with a product of 24. Then find the pair whose sum is -25.

A: We have to find all the pairs of integers whose product is 24 and the sum is -25.

Q: express as a single fraction involving positive exponents only. (2x)-1 + 3y-2

A: Given expression,  (2x)-1 + 3y-2 To express in single fraction involving positive exponents only.

Q: find Za/2 For a=0.13

A: Given:Significance level = 0.13

Q: Find zα/2 for α=0.14.

A: For the two-tailed test, Area on each tail is given by on each tail

Q: 2. What is the last digit in the product of 31x3 x3x --x32018 x32019x320207

A: Given, 31×32×33× · · · ×32018 ×32019×32020 = 3(1+2+3+ . . . +2020) = 32020(1+2020)2     since…

Q: Use long division to divide. Express any numbers as integers simplified fractions. or x+2

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