Solve the problem.The floor plan of a building is shown in the figure below. Is it possible to start in one of the rooms of the building, walk through each door exactly once, and end up in a different room from the one you started in? (Consider the outside a "room".) Justify your answer.

What will be an ideal response?


Yes. Exactly two rooms have an odd number of doors. Thus, an Euler path starting and ending in different rooms is possible.

Mathematics

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Determine the standard equation of the ellipse using the given graph.

A.  +  = 1
B.  +  = 1
C.  +  = 1
D.  +  = 1

Mathematics

Attending concerts is a favorite form of entertainment for many people. The graph shows concert attendance gradually increased from 1994 to 2004 for concerts at a small town's outdoor concert venue. In 1994, the average attendance was 935, as represented by the point  In 2004, the average attendance was 2350, as represented by the point  We can find an equation of the line segment PQ using a system of equations, and then we can use the equation to approximate the attendance in any of the years between 1994 and 2004. 

src="https://sciemce.com/media/4/ppg__tttt0623191144__f1q90g3.jpg" alt="" style="vertical-align: 0.0px;" height="213" width="361" />What is the equation of the segment PQ? A. y = 103.5x - 204,239 B. y = 92.0x + 34,590 C. y = 145.7x - 239,394 D. y = 141.5x - 281,216

Mathematics

Graph the function by hand. Solve the equation f(x) = 0 by observing your graph. Round approximations to two decimal places.f(x) = 

A. {4} B. {2.83} C. {2} D. {16}

Mathematics

Use the given vectors to find the indicated expression.v = -4i + 2j - 3k,  u = -4i - 3j + 4kFind v × (-5u).

A. 5i - 140j - 100k B. -1i - 0j + 20k C. -5i + 140j + 100k D. 115i + 155j - 50k

Mathematics