Consider a soldier facing in a given direction (say north). Let us denote "left face" by l, "right face" by r, "about face" by a, and "stand fast" by f. (The element f means "don't move from your present position". It does not mean "return to your original position"). Then we define 
and an operation 
meaning "followed by". Thus, ![]()
data-wiris-created="true" src="https://sciemce.com/media/3/ppg__cognero__5.1_Natural_Numbers__media__ca9d2d92-10f1-49f6-954f-2c539022d637.PNG" style="vertical-align: middle;" /> means "left face" followed by "left face" and is the same as the single command "about face". Complete the following table.
a f l r a________________________________________ f________________________________________ l____________________ a__________ r________________________________________
What will be an ideal response?
f; a; r; l; a; f; l; r; r; l; f; l; r; f; a
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Solve the problem.You are considering renting a computer. The first option is to pay a $280 base fee upon signing the rental agreement plus $15 per week, while the second option is to pay no base fee but to pay $22 per week. After how many weeks does the first option become the better deal?
A. 6 B. 40 C. 9 D. 7
Find the area of the shaded region. Use 3.14 to approximate ?, if needed. Round to the nearest tenth if necessary.
A. 1133.5 sq ft B. 310.5 sq ft C. 4534.2 sq ft D. 2577.5 sq ft
Provide an appropriate response.Let A = 
and B = 
.Does the matrix A + B have an inverse?
A. No B. Yes
Solve the problem.When a coin is tossed n times, there are 2n possible results. For example, if a coin is tossed three times, there are 23 = 8 possible results. How many more different results are there when a coin is tossed ten times than when it is tossed six times?
A. 960 B. 64 C. 1024 D. 1088