Problem 7)
The answer is choice B. Only graph 2 contains an Euler circuit.
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To have a Euler circuit, each vertex must have an even number of paths connecting to it. This does not happen with graph 1 since vertex A and vertex D have an odd number of vertices (3 each). The odd vertex count makes it impossible to travel back to the starting point, while making sure to only use each edge one time only.
With graph 2, each vertex has exactly two edges attached to it. So an Euler circuit is possible here.
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Problem 8)
The answer is choice B) 5
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Work Shown:
abc base 2 = (a*2^2 + b*2^1 + c*2^0) base 10
101 base 2 = (1*2^2 + 0*2^1 + 1*2^0) base 10
101 base 2 = (1*4 + 0*2 + 1*1) base 10
101 base 2 = (4 + 0 + 1) base 10
101 base 2 = 5 base 10
Answer:
5. is the answer
Step-by-step explanation:
Answer:
That is, you'd expect of the rolls to be 1, of the rolls to be 2, of the rolls to be 3, and so on.
Step-by-step explanation:
Answer:
The surface area is 40
Step-by-step explanation:
It is 40 because you have to find the area of each face so you would do 3*4 which equals 12 and since there is 4 of the triangles you do 12*4 which is 48 but when it's a triangle you have to cut it in half so it would really be 24.
Then for the square on the bottom you would do 4*4 which is 16 and then you would add the totals to get 40.
Answer:
the square root of 10 is 3.16
