You have six errands to run around​ town, in no particular o…

You have six errands to run around​ town, in no particular order. You plan to start and end at home. You must go to the post office​ (P), deposit a check at the bank​ (B), drop off dry cleaning​ (D), visit a friend at the hospital (H), get a flu shot at the medical clinical (M), and pick up a groceries at the store (G). A weighted graph is shown with the distances​ (in miles) to the locations shown on the edges. If each Hamilton circuit represents a route to run your​ errands, how many different routes are​ possible? Enter a numerical answer.   

A connected graph has 94 even vertices and no odd vertices. …

A connected graph has 94 even vertices and no odd vertices.   Determine whether the graph has an Euler path​ (but not an Euler​ circuit), an Euler​ circuit, or neither an Euler path nor an Euler​ circuit, and explain why. By​ Euler’s theorem, this is because the graph has

A medical assistant is talking with a patient who just learn…

A medical assistant is talking with a patient who just learned that she has Advanced Breast cancer. The patient says, “it’s just an infection. I’m way too young to have cancer!” Which of the following actions should the medical assistant take to help this patient during this stage of grief?