Solve the problem.A certain bacterial culture grows in such a way that each hour the increase in the number of bacteria in the culture is 70% of the total number present at the beginning of the hour.(a) Write the difference equation for yn, the number of bacteria in the culture after n hours.(b) If there are 5000 bacteria present initially, approximately how many bacteria are there at the end of three hours?
What will be an ideal response?
| (a) | yn = 1.7yn-1 (b) 24,565 |
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Solve the problem by applying the Fundamental Counting Principle.An apartment complex offers apartments with four different options, designated by A through D.A = number of bedrooms (one through four)B = number of bathrooms (one through three)C = floor (first through fifth)D = outdoor additions (balcony or no balcony)How many apartment options are available?
A. 14 B. 120 C. 16 D. 240
Use an Euler diagram to determine whether the syllogism is valid or invalid.All businessmen wear suits.Aaron wears a suit. ? Aaron is a businessman.
A. Valid B. Invalid
Solve the problem.Which of the following statements is true about Kruskal's algorithm.
A. It is an efficient algorithm, and it always gives the minimum spanning tree. B. It is an efficient algorithm, but it doesn't always give the minimum spanning tree. C. It is an inefficient algorithm, and it never gives the minimum spanning tree. D. It is an inefficient algorithm, but it always gives the minimum spanning tree. E. none of these
Write the set in set builder notation.The odd natural numbers less than 53.
A. {x ? N?x is odd and x ? 51} B. {x ? N?x < 53} C. {x ? N?x < 52} D. {x ? N?x is odd and x ? 53}