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1. ### given that 1^2+2^2+3^2+.....+k^2=k*(k+1)*(2k+1)/6,what is the smallest integer k such that?

k(k+1)(2k+1)/6 must be divisible by 100 means k(k+1)(2k+1) divisible by 600 which is 5x5x2x2x2x3 2k+1 is odd, and only one of k or k+1 can be even so you need k or k+1 divisible by 8 one of k, k+1, and 2k+1 will always be divisible...

4 Answers · Science & Mathematics · 18/12/2013

2. ### Show that the following equation has real roots for all values of k ?

(k-1)x^2+2x-(k-3)=0 suppose k-1=a and k-3=b so,a-b=k-1-k+3=2 so the equation becomes ax^2+(a-b)x-b=0 => ax^2+ax-bx-b=0 =>ax(x+1)-b(x+1)=0 =>(ax-b)(x-1)=0 x=-1 or x=b/a=(k-3)/(k-1)

5 Answers · Science & Mathematics · 31/01/2011

3. ### Rate Contant (k)..........?

k = rate/(mol/L)^3 If the rate is in mole/sec, then k = L^3/(mole.sec)

4 Answers · Science & Mathematics · 17/05/2011

4. ### what is 5k divided by -k?

k-8/7+k = -1/5 okay :P afraid? maths <3 awesome :P love XD 5(k-8) = -1 (7+k) 5k - 40 = -7 - k 5k+k= -7 + 40 6k = 33 k= 33/6

2 Answers · Education & Reference · 07/10/2012

5. ### Show that p_k = p_(k-1) + (3k-2) for k >=2. Conclude that p_n = sum from k=1 to n of (3k-2).?

Let k ≥ 2. Then p_(k - 1) + 3k - 2 = (k - 1)[3(k - 1) - 1]/2 + (6k - 4)/2 = [(k - 1)(3k - 3 - 1) + 6k - 4]/2 = [(k - 1)(3k - 4) + 6k - 4]/2 = (3k² - 7k...

1 Answers · Science & Mathematics · 13/09/2009

6. ### Find the values of k?

...1 ... equation 1 (given)     - x  +         y  +  kz  =  k ... equation 3 (given)    ——————————<ADD...

2 Answers · Education & Reference · 24/04/2013

7. ### k-4 divided by 9=3 help me?

k-4/9=3 you want to isolate k to find the answer, so you have to do the operations in reverse. so k-4=3x9 k-4=27 k=27+4 k=31

3 Answers · Education & Reference · 28/02/2010

8. ### For what values of the constant k will the following function NOT be its own inverse.?

Let (x - k) / (x - 1) = y x - k = yx - y x = yx - y + k x - yx = y + k x(1 - y) = y + k x = (-y + k) / (1 - y) x = (y - k) / (y - 1) It would seem that the function is generally its own inverse...

2 Answers · Science & Mathematics · 12/08/2010

9. ### What is so special about Special K??

Depends which Special K you mean....... if your enquiry is in regards to cereal then the...

14 Answers · Entertainment & Music · 11/01/2008

10. ### From the formula, k(x)=2sin(x+pi)/(sin(x+pi)-3), what is k^-1(x)?

k(x) = 2 sin (x+π) / (sin (x+π) - 3) = 2 (- sin x) / (- sin x - 3) = 2 sin x / (sin x + 3) = [2 (sin x + 3) - 6] / (sin x + 3) = 2 - 6 / (sin x + 3) So for k^-1(x) we get x = 2 - 6 / (sin k^-1(x) + 3) => 6 / (sin k^-1(x) + 3) = 2 - x =>...

1 Answers · Science & Mathematics · 16/12/2013