The total number of ancestors that an individual has going back 12 generations, if first generation have 2 parents, second generation have 4 grandparents, third generation have 8 great grandparents. The terms of the sequence 2 , 4 , 8 , 16 , .... give the additional number of ancestors for each generation back on time. 1 st Generation 2 nd Generation 3 rd Generation 2 parents 4 grandparents 8 great-grandparents
The total number of ancestors that an individual has going back 12 generations, if first generation have 2 parents, second generation have 4 grandparents, third generation have 8 great grandparents. The terms of the sequence 2 , 4 , 8 , 16 , .... give the additional number of ancestors for each generation back on time. 1 st Generation 2 nd Generation 3 rd Generation 2 parents 4 grandparents 8 great-grandparents
Solution Summary: The author calculates the total number of ancestors that an individual has going back 12 generations.
To calculate:The total number of ancestors that an individual has going back 12 generations, if first generation have 2 parents, second generation have 4 grandparents, third generation have 8 great grandparents. The terms of the sequence 2,4,8,16,.... give the additional number of ancestors for each generation back on time.
Points z1 and z2 are shown on the graph.z1 is at (4 real,6 imaginary), z2 is at (-5 real, 2 imaginary)Part A: Identify the points in standard form and find the distance between them.Part B: Give the complex conjugate of z2 and explain how to find it geometrically.Part C: Find z2 − z1 geometrically and explain your steps.
A polar curve is represented by the equation r1 = 7 + 4cos θ.Part A: What type of limaçon is this curve? Justify your answer using the constants in the equation.Part B: Is the curve symmetrical to the polar axis or the line θ = pi/2 Justify your answer algebraically.Part C: What are the two main differences between the graphs of r1 = 7 + 4cos θ and r2 = 4 + 4cos θ?
A curve, described by x2 + y2 + 8x = 0, has a point A at (−4, 4) on the curve.Part A: What are the polar coordinates of A? Give an exact answer.Part B: What is the polar form of the equation? What type of polar curve is this?Part C: What is the directed distance when Ø = 5pi/6 Give an exact answer.
Elementary Statistics: Picturing the World (7th Edition)
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