The product of (q-1) consecutive integers where `qgt1` is divisible by ___________

The product of (q-1) consecutive integers where `qgt1` is divisible by ___________
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The product of (q-1) consecutive integers where `qgt1` is divisible by ___________
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What are 4 consecutive even integers where the product of the smaller two numbers is 72 less than the product of the two larger numbers?

Description : What are 4 consecutive even integers where the product of the smaller two numbers is 72 less than the product of the two larger numbers?

Last Answer : 6 x 8 = 4810 x 12 = 120120 - 48 = 72

What is the largest of three consecutive odd integers if the product of the first and third integers is 6 more than three times the second integer?

Description : What is the largest of three consecutive odd integers if the product of the first and third integers is 6 more than three times the second integer?

Last Answer : Let the middle one be n, then:(n - 2)(n + 2) = 3n + 6→ n² - 4 = 3n + 6→ n² - 3n - 10 = 0→ (n + 2)(n - 5) = 0→ n = -2 or 5-2 can be discounted as n is odd→ n = 5→ largest of the three odd numbers is 5 + 2 = 7.

An integer is chosen at random from the first two hundred positive integers. What is the probability that the integer chosen is divisible by 6 or 8 ? -Maths 9th

Description : An integer is chosen at random from the first two hundred positive integers. What is the probability that the integer chosen is divisible by 6 or 8 ? -Maths 9th

Last Answer : As there are 200 integers, total number of exhaustive, mutually exclusive and equally likely cases, i.e, n(S) = 200 Let A : Event of integer chosen from 1 to 200 being divisible by 6⇒ n(A) = 33 \(\bigg(rac{200}{6}=33rac{1}{3}\ ... (rac{25}{200}\) - \(rac{8}{200}\) = \(rac{50}{200}\) = \(rac{1}{4}\).

If the roots of the equation x^3 – ax^2 + bx – c = 0 are three consecutive integers, then what is the smallest possible value of b ? -Maths 9th

Description : If the roots of the equation x^3 – ax^2 + bx – c = 0 are three consecutive integers, then what is the smallest possible value of b ? -Maths 9th

Last Answer : Let the roots of the equation x3 – ax2 + bx – c = 0 be (α – 1), α, (α + 1) ∴ S2 = (α – 1)α + α(α + 1) + (α + 1) ( ... ; 1 = b ⇒ 3α2 – 1 = b ∴ Minimum value of b = – 1, when α = 0.

What are 4 consecutive integers of the sum of 182?

Description : What are 4 consecutive integers of the sum of 182?

Last Answer : 182/4 = 45.5so of the four numbers 45 will be the second44 + 45 + 46 + 47 = 89 + 93 = 182

What are three consecutive integers the sum is 186?

Description : What are three consecutive integers the sum is 186?

Last Answer : 45, 46, 47, 48 = 186

When the smaller of the two consecutive integers is added to five times the larger the result is 47?

Description : When the smaller of the two consecutive integers is added to five times the larger the result is 47?

Last Answer : x + 5x + 5 = 476x = 42x = 7x + 1 = 8

What The sum of 3 consecutive integers that equals 252?

Description : What The sum of 3 consecutive integers that equals 252?

Last Answer : Need answer

When the smaller of the two consecutive integers is added to five times the larger the result is 47?

Description : When the smaller of the two consecutive integers is added to five times the larger the result is 47?

Last Answer : x + 5x + 5 = 476x = 42x = 7x + 1 = 8

What are three consecutive integers the sum is 186?

Description : What are three consecutive integers the sum is 186?

Last Answer : 45, 46, 47, 48 = 186

How do i solve this Find three consecutive odd integers so that three times the second is 9 more than twice the third. What is the smallest number?

Description : How do i solve this Find three consecutive odd integers so that three times the second is 9 more than twice the third. What is the smallest number?

Last Answer : Yeah, I hate these too. Identify the unknowns. Three consecutive odd integers will be x, x + 2 and x + 4 Set up the equation with the information you know. Three times the second is 3 times (x + 2) ... Since 39 is 9 more than 30, we got it right. The answer asked for (the smallest integer) is 11.

Find three consecutive even integers whose sum is -132?

Description : Find three consecutive even integers whose sum is -132?

Last Answer : 42, 44, 46.

What two consecutive integers does pi lie?

Description : What two consecutive integers does pi lie?

Last Answer : Pi is between 3 and 4 (3.1415...)

Find three consecutive odd integers whose sum is (-75)?

Description : Find three consecutive odd integers whose sum is (-75)?

Last Answer : Those three odd integers are 43, 45, and 47.

The sum of three consecutive integers is 36. What is the largest of the three integers? The correct answer is 13.?

Description : The sum of three consecutive integers is 36. What is the largest of the three integers? The correct answer is 13.?

Last Answer : The sum of three consecutive integers is 36. (x - 1) + x + (x + 1) = 36 13 is the largest of the three integers.

The value of 1.999… in the form of p/q, where p and q are integers and -Maths 9th

Description : The value of 1.999… in the form of p/q, where p and q are integers and -Maths 9th

Last Answer : Value of 1.999 is given below .

The value of 1.999… in the form of p/q, where p and q are integers and -Maths 9th

Description : The value of 1.999… in the form of p/q, where p and q are integers and -Maths 9th

Last Answer : Value of 1.999 is given below .

Express 0.6bar +0.7bar+0.47 bar in the form p/q where p and q are integers and q is not equal to 0 -Maths 9th

Description : Express 0.6bar +0.7bar+0.47 bar in the form p/q where p and q are integers and q is not equal to 0 -Maths 9th

Last Answer : Let x = 0.7Bar ⇒ x = 0.777.......... .........(1) Multiplying (1) by 10 ⇒ 10x = 7.7...... = 7.777 ...........(2) Subtracting (1) from (2) ⇒ 10x - x = 9x ⇒ 7.777 - 0.777 = 7 ... and then solving it, we get. ⇒ (594 + 770 + 470)/990 ⇒ 1834/990 ⇒ 917/495 Hence, 0.6 + 0.7Bar + 0.47Bar = 917/495

Express 0.6bar +0.7bar+0.47 bar in the form p/q where p and q are integers and q is not equal to 0 -Maths 9th

Description : Express 0.6bar +0.7bar+0.47 bar in the form p/q where p and q are integers and q is not equal to 0 -Maths 9th

Last Answer : Let x=0.666....... (1) Multiply equation (1 by 10 10x = 6.666....... (2) Subtract equation (1) from (2) x=6/9 Similarly 0.7bar =7/9 and 0.47bar = 47/99. 6/9+7/9+47/99=190/99

Express 0.6 in the form p/q, where p and q are integers and q is not equals to 0. -Maths 9th

Description : Express 0.6 in the form p/q, where p and q are integers and q is not equals to 0. -Maths 9th

Last Answer : Let x = 0.6 recurring Then, x = 0.666..... ....(i) implies 10x = 6.666........ .....(ii) Substracting (i) from (ii),we get 9x = 6 implies x = 6/9 implies x = 2/3

Express 0.00323232... in the form p/q, where p and q are integers and q is not equals 0. -Maths 9th

Description : Express 0.00323232... in the form p/q, where p and q are integers and q is not equals 0. -Maths 9th

Last Answer : Solution :-

Express 0.35777... in the form p/q,where p and q are integers and q is not equals to 0. -Maths 9th

Description : Express 0.35777... in the form p/q,where p and q are integers and q is not equals to 0. -Maths 9th

Last Answer : Solution :-

Express:2.0151515... in the p/q form, where p and q are integers and q is not equals to 0. -Maths 9th

Description : Express:2.0151515... in the p/q form, where p and q are integers and q is not equals to 0. -Maths 9th

Last Answer : Solution :-

If the expression (px^3 + x^2 – 2x – q) is divisible by (x – 1) and (x + 1), then the values of p and q respectively are ? -Maths 9th

Description : If the expression (px^3 + x^2 – 2x – q) is divisible by (x – 1) and (x + 1), then the values of p and q respectively are ? -Maths 9th

Last Answer : Let f(x)=px3+x2−2x−q Since f(x) is divisible by (x−1) and (x+1) so x=1 and −1 must make f(x)=0. Therefore, p+1−2−q=0, i.e., p−q=1; and −p+1+2−q=0, i.e., p+q=3 Thus p=2 and q=1

If the polynomial x^6 + px^5 + qx^4 – x^2 – x – 3 is divisible by x^4 – 1, then the value of p^2 + q^2 is : -Maths 9th

Description : If the polynomial x^6 + px^5 + qx^4 – x^2 – x – 3 is divisible by x^4 – 1, then the value of p^2 + q^2 is : -Maths 9th

Last Answer : The divisor is x4−1=(x−1)(x+1)(x2+1) By factor theorem, f(1)=f(−1)=0 Thus, 1+p+q−1−1−3=0 and 1+q−1−3=p−1 i.e., p+q=4 and p−q=−2 Adding the two, 2p=2 i.e. p=1 and ∴ q=3. ∴ p2+q2=1+9=10

There are two sets of five numbers each – set P and set Q. P is a set of consecutive even numbers and Q is a set of consecutive numbers. The sum of the numbers of P is 230. The second least number in Q is 33 less than twice the least number in P. Find the sum of the numbers in Q. 1 : 260 2 : 250 3 : 240 4 : 270 5 : None of these

Description : There are two sets of five numbers each - set P and set Q. P is a set of consecutive even numbers and Q is a set of consecutive numbers. The sum of the numbers of P is 230. The second least number in Q is 33 less ... the sum of the numbers in Q. 1 : 260 2 : 250 3 : 240 4 : 270 5 : None of these

Last Answer : 1 : 260

If n integers taken at random are multiplied together, then the probability that the last digit of the product is 1, 3, 7 or 9 is -Maths 9th

Description : If n integers taken at random are multiplied together, then the probability that the last digit of the product is 1, 3, 7 or 9 is -Maths 9th

Last Answer : (d) 226 × 52C26 | 104C26Since there are 52 distinct cards in a deck and each distinct card is 2 in number.∴2 decks will also contain only 52 distinct cards, two each.∴ Probability that the player gets all distinct cards = \(rac{^{52}C_{26} imes2^{26}}{^{104}C_{26}}\).

What two integers whose sum is negative 9 and whose product is 20?

Description : What two integers whose sum is negative 9 and whose product is 20?

Last Answer : Up

Find two integers that have a product of -48 and a sum of -2?

Description : Find two integers that have a product of -48 and a sum of -2?

Last Answer : -46

Two integers whose sum is 0 and product is -64?

Description : Two integers whose sum is 0 and product is -64?

Last Answer : 64

Which 2 Integers have a sum of -7 & a Product as 12?

Description : Which 2 Integers have a sum of -7 & a Product as 12?

Last Answer : Two integers that have a sum of -7 and a product of 12 are -3 and -4.

What three consecutive numbers have a product of 720?

Description : What three consecutive numbers have a product of 720?

Last Answer : They are: 8*9*10 = 720

Both q & w are __________ function & q + w is a ___________ function :-

Description : Both q & w are __________ function & q + w is a ___________ function :-

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So, I think my mind just broke. Why is the sum of all integers -1/12?

Description : So, I think my mind just broke. Why is the sum of all integers -1/12?

Last Answer : answer:The video lost me about 40 seconds in then he made this leap from 1+2+3+4… to 1+ x2 + 2x squared and so on. That may be obvious to a mathematician, but to me it was a giant leap of faith. And logically it doesn’t make sense either. So I am just as confused as you are.

How can I swap two integers without temporary variables using JavaScript code?

Description : How can I swap two integers without temporary variables using JavaScript code?

Last Answer : answer:This is a trick using the exclusive or operator ^ that was used when computers were short on memory. a = (a ^ b) /* a^b, b */ b = (a ^ b) /* a^b, a */ a = (a ^ b) /* b, a */ You can also do it using subtraction for numeric ... = a - b /* a - b, b */ b = b -a /* a-b, a */ a = b - a /* b, a */

What are the properties of the power set of the set of all integers?

Description : What are the properties of the power set of the set of all integers?

Last Answer : answer:Do you know what a power set is? If not, see the definition. Basically, you are dealing with sets instead of numbers. Each element of the domain and codomain is either a set of integers or ... or not explained enough in this answer. If you need me to elaborate on anything here, let me know.

When the celebrated German mathematician Karl Friedrich Gauss (1777-1855) was nine he was asked to add all the integers from 1 through 100. He quickly added 1 to 100, 2 to 99, and so on for 50 pairs of numbers each adding to 101. 50 X 101=5,050.Now find the sum of all the digits in integers from 1 through 1,000,000,000.That's all the digits in all the numbers, not all the numbers themselves. -Riddles

Description : When the celebrated German mathematician Karl Friedrich Gauss (1777-1855) was nine he was asked to add all the integers from 1 through 100. He quickly added 1 to 100, 2 to 99, and so on for 50 pairs ... 1,000,000,000.That's all the digits in all the numbers, not all the numbers themselves. -Riddles

Last Answer : The numbers can be grouped by pairs: 999,999,999 and 0; 999,999,998 and 1' 999,999,997 and 2; and so on.... There are half a billion pairs, and the sum of the digits in each pair is 81. The digits in the unpaired number, 1,000,000,000, add to 1. Then: (500,000,000 X 81) + 1= 40,500,000,001.

How many integers are there between two successive interesting? -Maths 9th

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Cbqs (case base study ) of chapter 1 Integers maths class 7th -Maths-7

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Description : Which number is a counterexample for the following conjectureConjecture: All integers are either positive or negative.?

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