How many zeroes does 188! end with?

Q: Prove that the difference of squares of any two odd numbers is multiple of 8. (SOlve this task…

A: To proveDifference of squares of any two odd numbers is multiple of 8.

Q: How many real sixth roots does 64 have?

A: We have to find real sixth roots of 64.                      x^6=64   We have to find the real…

Q: Show that 8(-n--8()

A: By properties we know that,

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: 6. A. Show that 81 – x²dx : 81n %3| 4

A: According to company rule we can answer only first question and rest can be reposted

Q: Find the smallest integer greater than 100 that is divisible by 3 but leaves the remainder 1, 5 when…

A: Let x be the required number. The number is divisible by 3, so it leaves the remainder 0 when it is…

Q: Find the number of positive integers X smaller than 12849 which have exactly 2022 positive divisors

A: Theory : Total no of divisor of a number, If its prime factorization, given by ∏i=1hpiai Where p is…

Q: Find the largest value of n such that: >(3k - 8) < 2021. k=1

A: NOTE: Refresh your page if you can't see any equations. .

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

A:

Q: of the first 150 positive integers?

A:

Q: how many coefficients must be determined?

A:

Q: If x is an odd integer then 5x – 7 is an even integer.

A: 5 and x are odd integers. Multiplication of two odd integers is always odd. Hence, 5x is an odd…

Q: Show that if any eight positive integers are chosen, two of them will have the same remainder when…

A: Pigeonhole Principle- If n items are assigned to m containers, and m&lt;n,then at least one…

Q: Which term of the expansion of (x° + 7) contains x 28 ,36 Term number contains æ36

A:

Q: a) Find the number of positive integers not exceeding 120 that are divisible by 3 or 4.

A:

Q: Which member of binomial expansion of (2x^3 + x^-1)^10 contains x^6 ?

A:

Q: What two nonnegative real numbers with a sum of 23 have thelargest possible product?

A: we have to find the two non negative real number with a sum of 23 which will have largest possible…

Q: Show that x2 + 9 is prime.

A: To show x2 + 9 is prime.

Q: Use direct proof to show that product of two consecutive integers is even.

A:

Q: How many three-digit numbers can be formed under each condition? (a) None of the digits can be 5. X…

A: when there are no condition applied we have 10 choices for each digit : 0, 1, 2, 3, 4, 5, 6, 7, 8, 9

Q: what two consective odd integers have a product of 63?

A: Find two odd integers.

Q: Which integers leave a remainder of 1 when divided by 2 and also leave a remainder of 1 when divided…

A:

Q: Find the least positive integer n for which 2" + 5" - n is a multiple of 1000.

A: To find the value of n substitute n=1,2,3... multiple of 1000 is a certain number divided by 1000…

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

A:

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

A:

Q: Prove: “The sum of two even integers is even.”

A: To prove: The sum of two even integers is even. n is an even number if it can be expressed as n =…

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

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Q: Show that 3 + V5 is irrational number

A:

Q: SHOW THAT 3^2N - 1 IS DIVISIBLE BY 8 FOR ALL POSITIVE INTEGERS.

A: We prove this by induction.

Q: Find an integer that leaves a remainder of 2 whan divided by either 3 or 5, but that is divisible by…

A:

Q: if two even integers are multiflied, then the product is also even

A: Ans. True

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

A:

Q: How many positive integers not exceeding 3000 are divisible by exactly two of 4, 10, 12? (Steps…

A:

Q: The sum of all positive integers less than 400 which are divisible by 5.

A: Positive integers less than 400 which are divisible by 5 are⇒n=79 5,10,15,20,...,395 The above…

Q: Find the least natural number a with the property that the sum a + 2a + 3a + .. + 9a is the number…

A: Given sum is  a+2a+3a+4a+5a+6a+7a+8a+9a

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

A:

Q: Find the largest negative integer leaves a remainder 2 when divided by 3, 5, and 12. (If it is not…

A: Let us  solve the question in the next step.

Q: how many positive integers n satisfy 22-5n>-3?

A: 22-5n&gt;-3

Q: R.2. Show that among 29 distinct integers, there must be a set of 5 integers all of which have the…

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Q: Which term of the expansion of (x + 7)° contains x° Term number contains x°.

A:

Q: In a round-robin chess tournament, each player is paired with every other player once. The formula 2…

A:

Q: Can you think of the smallest number N such that ot can be expressed as a product of the two factors…

A: We have to find out the number N that can be expressed as a product of the two factors which are…

Q: 4. ( it as linear combination of both numbers. Find the greatest common divisor of the numbers 1520…

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Q: Show that every odd integer is the difference between two consecutive perfect squares.

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Q: How many zeros are there at the end of 1001?

A: This question is related to Number Theory

Q: 5 divides n -n whenever

A:

Q: Let ab5c be all four-digit multiples of number 36 with different digits. If someone found 7 numbers…

A: Let ab5c be all four digit multiples number 36 with different digits. As 36= 4x9, so the number ab5c…

Q: Find the least natural number a with the property that the sum a + 2ā + 3a + ...+ 9a is the number…

A: