Decide whether the game is strictly determined.                   B
?              a    b    c
?
__________ (answer strictly determined or not strictly determined)If it is, what are the players' optimal pure strategies?
A__________B__________?
What is the value of the game?  __________

What will be an ideal response?


not strictly determined; blank; blank; blank

Mathematics

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Any sound from one focus of an ellipse reflects off the ellipse directly back to the other focus. This property explains whispering galleries such as Statuary Hall in Washington, D.C. The whispering gallery shown in the illustration below has the shape of a semi-ellipse. Find the distance sound travels as it leaves focus F and returns to focus F'. ? ? Please enter your answer as a number without the units, rounded to the nearest tenth.

Fill in the blank(s) with the appropriate word(s).

Mathematics

Find the equation that the given graph represents and give the domain, range, and interval(s) over which the function is increasing and decreasing.

A. P(x) = x5 - 10x4 - 100x2 + 100;  domain: (-?, ?); range: (-?, -99.85];  Increasing over (-?, -5.16] and [-1.81, 0] and [1.81, 5.16]; Decreasing over [-5.16, -1.81] and [0, 1.81] B. P(x) = -x6 + 10x4 - 100x2 - 100;  domain: (-?, ?); range: (-?, 100];  Increasing over (-?, -4.41] and [-.61, 0] and [1.70, 3.14]; Decreasing over [-4.41, -.61] and [0, .61] and [1.70, ?) C. P(x) = -x5 - 20x4 - 100x2 + 100x;  domain: (-?, ?); range: (-?, -100];  Increasing over (-?, -3.98] and [-1.11, 0] and [1.11, 3.98]; Decreasing over [-3.98, -.32] and [0, .32] D. P(x) = -x6 + 20x4 - 100x2 + 100;  domain: (-?, ?); range: (-?, 99.85];  Increasing over (-?, -3.14] and [-1.81, 0] and [1.81, 3.14]; Decreasing over [-3.14, -1.81] and [0, 1.81] and [3.14, ?)

Mathematics

Use the even-odd properties to find the exact value of the expression. Do not use a calculator.cos 

A. - 
B.
C. - 
D.  

Mathematics

Use a graphing utility to find the sum of the geometric sequence. Round answer to two decimal places, if necessary.-5 - 15 - 45 - 135 - 405 - ... - 5 ? 39

A. -147,618 B. -147,583 C. -147,640 D. -147,620

Mathematics