Each of the following measurements can be identied as a scalar or a vector. For the vectors only, which one has the greatest numerical value? Measurement A velocity of 45 mph A wind blowing at 55 mph A velocity or215 mph South A time of5 hours and 6 minutes A weight of 369 oz on a scale A force of 4?50 N applied West A temperature of 3:. F in Alaska A displacement of 5000 ii A mass of220 pounds lifted upwards D 3692 A weight 0f369 IDS on a scale 0 50002 A distance of 5000 11 D 2152 A velocity OT215 mph South 0 47502 A force of 41350 N applied West Which of the following systems of linear equations has a solution of (9,3)? 2x + 2y = 24 1-y= -2x + 21 O 2x + 2y = 24 ly= -2x + 21 O 2x - 2y = 24 ly= -22 + 21 O 2x - 2y =24 -y = -2x + 21 Solve for y in the following system of equations: -3x + 3y = 51 4x + y = -23 O : O 10 O & What is the value of : in the following matrix equation? O 33 O 11 O 19 O 21The following diagram represents a hub and spoke matrix for a transportation network. A B C D Which of the following matrices represents direct travel in the network if "1" represents there is a direct connection between the cities A,B,C and D "0" represents there is no direct travel.A A 1 0 0 O From B 0 1 1 1 C 0 1 D A D A 0 O From 0 1 1 D 1 0 0 A B D A 1 1 O From B 1 1 C 1 D 1 0 A B D A 0 1 1 1 O From B 1 0 0 0 1 0 0 D 1Given the following matrix equation, which of the following is the correct matrix solution, A? 5 5 2 1 A = 2.5 + 3.6 5 7 3 15 T 6 7 -11 A 2 -19.7 16.1 O A = 23 -35.2 13.3 69 -5.5 2.5 O A = 3.4 -4.2 1 6.3 -23 20.5 19.7 -31.9 11.1 59.1A soccer league collected the following statistics over eight games. Bulldogs Titans Rovers Win 4 2 Tie 3 2 Loss 0 4 Each team earns 2 points for a win, 1 point for a tie, and 0 points for a loss. Which of the following matrix operations could be used to determine the points earned by each team after eight games? 7 [2 1 0] x 3 1 2 4Find A-1, if A = 3 2] 0 :3 2 0 -1 3 2 0 -#[3 23] The owner of a small parking lot near a city festival represents the number and type of vehicles that are in the parking lot on a particular Thursday , Friday, and Saturday, using the matrix below. Car Bus A: Day of Week 105 12 143 17 202 33 The owner makes a second matrix to indicate the parking cost of $10 per car and $35 per bus. Parking Cost ] B: Type of Vehicle Car 10 Bus 35 Use matrix multiplication to calculate the revenue for each of the three days. Which of the following statements best describes the result of this multiplication? 20347 The result is the revenue matrix [ R] = 1488 , that shows the revenue generated by cars and busses over each of the three days. 3222 O The result is the revenue matrix [R] = [4500 2170], that shows the revenue generated by cars and busses over the three days. O You cannot multiply A by B, because a 2 x 3 matrix cannot be multiplied by a 1 x 2 matrix. 14707 O The result is the revenue matrix [R) = 2025 , that shows the revenue generated by cars and busses over each of the three days. 3175Kelley and Stuart each have a sweet tooth and bought candy at the same store. Kelley spent $2.65 for 15 Sour Keys and 2 Mars bars. Stuart bought 3 Mars bars and 10 Sour Keys for $3.35. What was the cost of a Mars bar? (Hint: The equation for Kelley's purchases is: 15.9 ; 211:! 2.6.5 First determine the equation for Stuart's purchases, and then solve the system of equations using matrices.) 0 $1.05 fora Mars bar G $0.95 for a Mars bar G $1.25 fora Mars bar 0 $0.90 for a Mars bar Determine the resulting vector when "- _ :_a. .1; is rotated u clockwise and increased in size by a multiple of 4. O {a 2w. 2 his} O {6 "'3. 263:: Q0 {12 8'33. 8 Ply-3: O .{1 V's. (av-'3; Three forces are simultaneously acting on an object. The rst force is 1200 N upward, the second force is 1000 N to the east, and the third force is 1000 N to the west. As a result of these three forces, the object will 0 not move 0 move up and t0 the west 0 move straight up (3 move up and t0 the east AABO is shown in the diagram below. y H Suppose the following sequence of matrix operations was used to translate AABO. How would you describe the magnitude and direction of the horizontal and vertical translations applied to AABC? O A horizontal translation of 6 units left and a vertical translation of 8 units up has been applied to AABC. O A horizontal translation of 9 units right and a vertical translation of 5 units down has been applied to AABC. O A horizontal translation of 5 units left and a vertical translation of 9 units up has been applied to AABC. O A horizontal translation of 8 units right and a vertical translation of 6 units down has been applied to AABC. Dunng a three-way tug-ofwar competition, each of the three ropes is tied to a center knot. One man pulls his rope North with a force of 301 N. Another man pulls his rope at 10 South Of East with a force of 280 N. If the Knot i5 station an}: in which direction does the third man pull his rope? O 42.5" East of South O 32.5" South of West 0 42.5" West of South O 42.5" South of West A large aircraft is flying on a bearing of 300" (60 west of north) with an airspeed of 500 mph. It is being affected by a 60 mph wind blowing towards the west, as shown in the diagram below. 60 mph N 500 mph R 60 W E S The distance, R, as indicated in the diagram, that the plane has travelled after 1 hour is, to the nearest mile, O 553 miles 591 miles 527 miles O 493 milesTwo tugboats are pulling a ship, as shown below. Each tugboat exerts a force of 500 MegaNewtons (MN) to the right. Tugl 40 . . Ship 40 Tug2If R represents the resultant force, then which of the following diagrams is an appropriate vector diagram for this situation? {j Graph 1 (I) Graph 3 0 Graph 4 (I) Graph 2 A snowflake gets blown sideways 5 ft for every 5 ft it falls downward. In one such movement, what is the total distance the snowflake travels and in what direction? O 7.07 ft at 45' from straight downwards. O 6.01 ft at 45' from straight downwards. O 6.01 ft at 30' from straight downwards. O 6.01 ft at 50' from straight downwards. If z = (6, -5) and d = (-2, 6), find |28 + 3.5d)- O 16 O 5VII O 2V/73 O V146Two people are trying to raise an object from a hole using two ropes: as shown in the diagram below. Person 1 exerts a force of 355 N and Person 2 exerts a force of 425 N. What is the magnitude ofthe combined force applied by both people? (I) 554 N (I) 273 N 780 N r' '. 1') 336 N _,- Given the equation 2; | 3-, a, a second equation that forms a system with no solution is: (I) 41% fig; 6 I C) .c i; .'l