If 3 does not divide n then 3|2n^2+1

Q: Express in partial fraction x³ - x² - 4 divided by x² - 1

A: We can make it easier for you.

Q: If five times the fifth term of an AP is equal to 8 times its eighth term, show that its 13th term…

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Q: to Sum of two numbers 1. And:-f

A: Use the concept of basic algebra.

Q: If the 10 term of an AP is 21 and the sum of its first ten terms is 120 find its n term

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Q: When a positive and a negative number are added, sometimes the sum is positive, sometimes it is…

A: When a positive and a negative number are added, sometimes the sum is positive, sometimes it is…

Q: pair of these integers with a sum equal to 9.

A: Let us take set under consideration {1,2,3,4,5,6,7,8}Possible pairs {{1,8}, {2,7}, {3,6}, {4,5}}…

Q: A rectangular plot of farmland is to be constructed on one side of a river and with the other three…

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Q: how can i find the output if the input is n

A: Given inputs and output are: Input 3 6 8 n Output 7 10 12   The inputs are 3,6,8,n. Here we…

Q: what are ways to express that 6 is a multiple of 2?

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Q: In a two-digit number, the tens-digit is greater than the units-digit. The product of these two…

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Q: Find two non negative integers whose sum is 25 and whose product with the square of the other number…

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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: 5. Right now your countertop has 1 e-coli cell. In the right environment, e-coli can double every 13…

A: Here, it is given that the right environment, e-coil can double every 13 minutes.

Q: What is the number product of two that add to 10? What number yield this product?

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Q: At 12:00 noon, there were 250 bacteria present. By 4:00 pm, there were 474 bacteria. If the bacteria…

A: NOTE: Refresh your page if you can't see any equations. . the exponential function is in the form of…

Q: Can someone explain how (n + 1) and (n + 2) can be integers? and also how can they be bigger than 1?

A: Answer: 1:  The solution is as given below:

Q: Express 4 as sum of suares of two rational numbers

A: Let one rational number be = xSecond rational number be = yThen,According to question, the sum of…

Q: Suppose I choose two numbers from the set {1, 2, 3,... 100}. How many have an even sum? Show all…

A: Hello. Since your question has multiple parts, we will solve first question for you. If you want…

Q: The number of 3-digit numbers less than 400 that can be created if the last digit is either 4 or 5…

A: Solution  :

Q: A job can be done in as many days as there are men in the group. If the number of men is reduced by…

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Q: True or False The sum of the odd numbers is always an odd number.

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Q: Among all of the pairs of numbers whose sum is 6, find the pair with the largest product. What is…

A: Let one of the numbers from the pair be x. Then the second number will be 6-x.

Q: A certain number is doubled and then divided by 8. If after subtracting 4 from this result, one gets…

A: The statements involving algebraic operations and expression namely addition , subtraction ,…

Q: At 12:00 noon, there were 225 bacteria present.  By 4 pm, there were 427 bacteria.  If the bacteria…

A: Let y=cax where y= amount of bacteria c=225 , a= growth factor  Now, At4pm,t=4,y=427 so,…

Q: A tennis player keeps track of the number of successful first serves he makes. During the first 8…

A: After x successful serves, his total number of serves is going to bex+8, as he had already served 8…

Q: Find the sum of positive divisor of 5,020 and also find the pair of this number so that they can be…

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Q: When 32 is divided by an integer, the remainder is 4. When 51 is divided by the same integer, the…

A: We can use concept of HCF to solve the problem

Q: At 12:00 noon, there were 225 bacteria present. By 4:00 pm, there were 427 bacteria. If the bacteria…

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Q: When an integer n is divided by 6, the remainder is 5. What are the possible values of the remainder…

A: From the statement, we can say that

Q: If a class of children is separated into groups of 5 children, 2 children will be left over. If the…

A: Let the number of children in the class is N. 1. It is given that when the children are seperated…

Q: In an AP the 9th term id 2 times the 4th term and the 12th term is 78. What is the sum of the first…

A: Let the first of the AP is a. Let the common difference of the AP is d. the nth term of the AP is…

Q: What is the smallest number that can be represented as the sum of four positive squares (not…

A: Consider the given statement. Since we need to find a number, which is the smallest number of sum of…

Q: Show A and Show B are two of the most popular television shows of all time. The number of episodes…

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Q: Today, Stephen is three times as old as Gautham. Ten years ago Stephen turned 2. How old will…

A: Given : Today, Stephen is three times as old as Gautham. Ten years ago Stephen turned 2

Q: How many zeroes are at the end of 1000!/(500!500!)?

A: Calculate number of zeroes in 1000! and then subtract it from the number of zeroes in (500!500!).

Q: The 24th term of an AP is twice its 10th term .Show that its 72th term is 4 times its 15th term

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Q: If the 10th term of  an AP is 52 and 17th term is 20 more than the 13th term find the AP

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Q: What is the smallest sum possible sum of 25 consecutive positive integers which s a perfect square?

A: Let's take the 25 consecutive positive numbers as an Arithmetic Progression with first term a.…

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: Find two concecutive odd integers such that when the smaller is added to twice the larger, the…

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

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Q: 2. Write as the sum/difference of logs. Express powers as factors. (r+2)71 In LyVz-5

A: Givenlnx+27yz-5To wrtite the sum/difference of log Formula:ln ab=ln a -ln bln ab=ln a + ln bln ak=k…

Q: The sum of an integer and 4 less than that integer is even.

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Q: Suppose a company offers you a job which will last only 100 days. The job pays $110 the first day…

A: First term= a1= 110 Common difference=d= 2.50 Number of terms = n = 100 a) My earning on the 100 th…

Q: If the sum of the digits is divisible by 2, then the number is divisible by 2. true or false

A: If the sum of the digits is divisible by 2, then the number is divisible by 2.

Q: Number 332 – 1 has exactly two divisors greater than 75 and less than 85. What is their product?

A: We need to find two divisors of 332-1 between 75 and 85.  Now, we can use the identity a2-b2=a-ba+b…