decimals, Mathematics

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how to multiply 8654.36*59

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Congruence, a) Let n = (abc) 7 . Prove that n ≡ a + b + c (mod 6). b) U...

a) Let n = (abc) 7 . Prove that n ≡ a + b + c (mod 6). b) Use congruences to show that 4|3 2n   - 1 for all integers n ≥ 0.

Addition and subtraction of rational expressions, Now come to addition and ...

Now come to addition and subtraction of rational expressions.  Following are the general formulas.  (a/c) + (b/c) = (a + b)/c

Business math, David invests $17,000 into an account and at the end of 7 ye...

David invests $17,000 into an account and at the end of 7 years, his account has a balance of $ 26,417.77. What is the interest rate (assuming annual compounding)?

Find the equation to the pair of lines - coordinate geometry, 1. Find the n...

1. Find the number of zeroes of the polynomial y = f(x) whose graph is given in figure. 2 Find the circumcentre of the triangle whose vertices are (-2, -3), (-1, 0) and (7,-6).

Find k to three decimal places, The population of a city is observed as gro...

The population of a city is observed as growing exponentially according to the function P(t) = P0 e kt , where the population doubled in the first 50 years. (a) Find k to three

Example of binomial distribution, Example:  Joanne is given a four-question...

Example:  Joanne is given a four-question multiple-choice quiz.  She hasnt studied the material to be quizzed, so she decides to answer the questions by randomly guessing the answe

Equation of the line which passes through the two points, Example: Write do...

Example: Write down the equation of the line which passes through the two points (-2, 4) and (3, -5). Solution At first glance it might not appear which we'll be capable to

Definition of the laplace transform, Definition Assume that f(t) is a ...

Definition Assume that f(t) is a piecewise continuous function. The Laplace transform of f(t) is denoted L{ f (t )} and defined by, There is an optional notation for L

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