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... displacement from the equilibrium position is given by: F = -

**k***y, where y is the displacement, and**k**is the spring constant (a measure of...2 Answers · Science & Mathematics · 06/08/2019

Let n be odd so n = 2h+1 where h is an integer then n^2 = 4h^2 + 4h + 1 = 4h(h+1) + 1 Of h and (h+1) one has to be even since they are consecutive integers; it follows that h(h+1) = 2k So n^2 = 8k+1

3 Answers · Science & Mathematics · 02/08/2019

... vertex form of a parabola is written as y = a( x - h )² +

**k**where ( h,**k**) is the vertex of the graph. x² - 16y - 4x - 12 = 0 16y...2 Answers · Science & Mathematics · 30/07/2019

...notation is different (y, Y and n used rather than x and X and

**k**respectively).1 Answers · Science & Mathematics · 30/07/2019

(A) 20 = 200(1 - e^(-5k)) => 9/10 = e^(-5k) => ln(10/9) = 5k =>

**k**= 0.02107. (B) L = 200(1 - e^(-0.2107)) = 38. (C) 180 = 200(1 - e^(-0.02107 t)) => 1/10 = e^(-0.02107 t) => ln(10) = 0.02107 t => t = 109 minutes.1 Answers · Science & Mathematics · 28/07/2019

The given series is ∑[

**k**= 0,∞] 5(-2z)**ᵏ**. initial term = 5 common ratio = -2z If the series ...3 Answers · Science & Mathematics · 27/07/2019

... all of the rates that you have, gives you some number

**k**. This number is also equivalent to some other rate that is...2 Answers · Science & Mathematics · 26/07/2019

...notation as c(i) = the i-th term. You have things like c0 and b subscript

**k**which might be part of your confusion. You want to show c(**k**) = 4c(**k**-1...1 Answers · Science & Mathematics · 25/07/2019

Really? With ones along the diagonal, you can just read off the solution: x1 = -5 x2 = 3 x3 = -3 x4 = 0

2 Answers · Science & Mathematics · 21/07/2019

...sum of each row is 10 higher than the sum of the previous row (you add

**k**on the left but and you drop**k**-10 on the right which is a difference of**k**- (**k**...2 Answers · Science & Mathematics · 18/07/2019

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