A certain connected graph has 68 vertices and 72 edges. Does it have a circuit? Explain.

What will be an ideal response?


Yes. The graph does has a circuit because if it did not have a circuit, then, since it is connected, it would be a tree and would have 67 edges instead of 72 edges.

Mathematics

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A. -  
B.  
C. -  
D.

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Use truth tables to test the validity of the argument.p ? qq  ? p

A. Valid B. Invalid

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Match the equation with the surface it defines. +   +  = 1 

A. Figure 4 B. Figure 2 C. Figure 1 D. Figure 3

Mathematics

Aberwald Corporation expects to sell 120,000 memory chips this year. Aberwald has determined that it costs $3 to carry each chip in inventory and $50 each time an order for raw materials is placed. Assuming Aberwald always orders the EOQ amount, what will be its total ordering cost this year?

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Mathematics