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Consider the following multiplication in decimal notations: (999).(abc)=def132 ,determine the digits a,b,c,d,e,f. solution)a=8b=6c=8d=8e=6f=7In other words, 999 * 877 = 876132.You don''t need to find out d,e,f, as they''re dependent. You only need to find out a,b,c.Now, start with c, because it''s in the ones place and thus easiest. What digit, when multiplied by 9, gives a "2" in the ones? The answer: 8. because 8 * 9 = 72. That the "2" you have there.Now we need to find out b. What digit, when multipled by 9, and added 9 (from the step above, the tens digit), gives a "4" in the ones? The naswer: 6. because 6 * 9 = 54, and added 9 to 4 gives us 13. That''s the "3" we have there. Now we need to find out c. what digit when multiplied with 9 and added 19 (from the step above) , gives a "1" in the ones..? the answer :8 because 8*9 = 72 and added 2 to 19 gives 21. that''s "1" we have therenow we have a=8 , b=6 , c=8 therefore we have 999*868=def132. multiply both the numbers and you get d, e and f..
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The distance around a square photograph is 12.8 centimeters. What is the langth of each side of the fotograph?
Consider the differential equation give by y′ = -10(y - sin t) (a) Derive by hand exact solution that satis?es the initial condition y(0) = 1. (b) Numerically obtain the s
Derive the probability distribution of the completion times: a. The following probability distributions relate to the completion times, in weeks, T A and T B of two independ
1 . The probability that a couple will have a child with black hair is 0.6. If this couple has 7 children what is (a) the probability that exactly 3 of these children have bl
After a lot of effort, 8-year-old Hari worked out 2 x 88 = 176. When asked to say what 2 x 89 was, after a lot of hard work, he produced the answer 178. How would you help him to r
Provided a homogeneous system of equations (2), we will have one of the two probabilities for the number of solutions. 1. Accurately one solution, the trivial solution 2.
Inverse Functions : In the last instance from the previous section we looked at the two functions f ( x ) = 3x - 2 and g ( x ) = x /3+ 2/3 and saw that ( f o g ) ( x )
If the roots of the equation (a-b) x 2 + (b-c) x+ (c - a)= 0 are equal. Prove that 2a=b+c. Ans: (a-b) x 2 + (b-c) x+ (c - a) = 0 T.P 2a = b + c B 2 - 4AC = 0
How to Dealing With Exponents on Negative Bases ? Exponents work just the same way on negative bases as they do on positive ones: (-2)0 = 1 Any number (except 0) raised to the
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