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1. Suppose n ≡ 7 (mod 8). Show that n ≠ x 2 + y 2 + z 2 for any x, y, z ε Z. 2. Prove ∀n ε Z, that n is divisible by 9 if and only if the sum of its digits is divisible by 9.
Write 3.5 × 104 in decimal notation? Move the decimal point 4 places to the right to get 35,000.
Evaluate following limits. (a) (b) Solution There in fact isn't a whole lot to this limit. In this case because there is only a 6 in the denominator we'l
Conditional probability - Rules of Probability This is the probability associated with combinations of events but given that some prior result has already been achieved with o
The sum of -4 and a number is equal to -48. What is the number? Let x = the number. Because sum is a key word for addition, the equation is -4 + x = -48. Add 4 to both sides o
on april 26, jonh dough wrote a check#374 to Miller Pharmacy for $16.00 , is this a deposit or withdrawal
find the value of 0 that makes cos 21 degrees = sin 0 statement true.
Question: The following payoff table shows profit for a decision analysis problem with two decision alternatives and three states of nature. (a) Construct a decision tr
do you have 3 digit and 4 digit number problem
Problem1: Find the general solution on -π/2 Dy/dx +(tan x)y =(sin 2 x)y 4
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