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QUESTION
(a) Draw a graph model with the following adjacency matrix.
(b) The diagram below shows different cities labelled a to g and z. Also shown on the diagram, the possible paths from one city to another. A number represents the distance between two cities. Find the length of the shortest path from a to z. Give appropriate explanations and show all your workings.
Your bank has a loan outstanding with a current balance of $1,000,000 that is payable in quarterly equal instalments of $49,924. This loan has another 6 years to maturity. The bo
Eliminate the parameter from the subsequent set of parametric equations. X = t 2 + t Y = 2t - 1 Solution: One of the very easy ways to eliminate the parameter is to
y+7 3y-2 --- = 1 + ---- 3 5
Here are a few examples of some team games. The teams can be small (1-3 children) or big (15-20 children). We start with some games for small children. a) One team places a numb
Luis runs at a rate of 11.7 feet per second. How far does he run in 5 seconds? You must multiply 11.7 by 5; 11.7 × 5 = 58.5. To multiply decimals, multiply generally, then coun
Write the doubles fact you used to solve the problem. 7 + 8 = 15
5a^2b^2-5ab(6)
Let 0 ! V1 ! ! Vk ! 0 be a long exact sequence of vector spaces with linear maps. Show that P (??1)i dim Vi = 0.
Prove that one of every three consecutive integers is divisible by 3. Ans: n,n+1,n+2 be three consecutive positive integers We know that n is of the form 3q, 3q +1, 3q +
The average age of a woman and her daughter is 16 years. The ratio of their ages is 7: 1. Then the woman''s age is
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