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DIV-125 1. The function `f(x)` is defined as `f(x) = x^2`. Find the value of `f(5)`. To solve the problem, we will substitute `x = 5` into the function `f(x) = x^2`: [ f(5) = (5)^2 = 25 ] Therefore, the value of `f(5)` is oxed{25}. ### 2. A race is completed by 5 people. If the winner takes 10 minutes to complete the race, what is the average time taken by all 5 people? Given that the winner (the fastest person) takes 10 minutes to complete the race, and assuming that the other 4 people take longer than 10 minutes for simplicity, we can calculate the average time taken by all 5 people as follows: [ ext{Average time} = frac{10 + 11 + 12 + 13 + 14}{5} = frac{60}{5} = 12 ] Therefore, the average time taken by all 5 people is oxed{12} minutes. ### 3. The dimensions of a rectangular deck are 16 feet by 3 feet. The deck is to be covered with equal strips of wood. To be able to calculate the total number of strips to be used, determine the number of 1-foot-wide strips of wood needed to cover the deck. To determine the number of 1-foot-wide strips needed to cover the deck, follow these steps: 1. **Calculate the area of the deck**: [ ext{Area} = ext{length} imes ext{width} = 16 , ext{feet} imes 3 , ext{feet} = 48 , ext{ft}^2 ] 2. **Calculate the area of one strip**: [ ext{Area of one strip} = ext{length} imes ext{width} = 16 , ext{feet} imes 1 , ext{foot} = 16 , ext{ft}^2 ] 3. **Determine the total number of strips**: [ ext{Number of strips} = frac{ ext{Area of deck}}{ ext{Area of one strip}} = frac{48 , ext{ft}^2}{16 , ext{ft}^2} = 3 ] Therefore, the total number of strips needed to cover the deck is oxed{3}. ### 4. A taxi cab uses clutch like any other vehicle. When a taxi cab driver starts to drive, the clutch pedal is operated. The pedal is then released. The clutch pedal is eventually pressed down again to continue the ride. The clutch pedal is controlled by the left foot of the taxi driver. Which of the following statements is true about operating the clutch pedal? The statements that are true about operating the clutch pedal in a taxi cab are: 1. **The clutch pedal is pressed down when starting the vehicle**: This is correct because the clutch pedal needs to be pressed down to disengage the engine from the transmission, allowing the vehicle to start smoothly. 2. **The clutch pedal is released when moving the vehicle**: This is correct because once the vehicle is in motion, the clutch pedal should be released to engage the engine with the transmission, maintaining the vehicle's speed. 3. **The clutch pedal is pressed down again to change gears or stop**: This is correct because the clutch pedal needs to be pressed down when shifting gears or coming to a complete stop to prevent stalling the engine. Therefore, the accurate statements are oxed{1, 2, 3}. ### 5. The function `f(x)` is defined as `f(x) = x^2`. Find the value of `f(5)`. To solve the problem, we will substitute `x = 5` into the function `f(x) = x^2`: [ f(5) = (5)^2 = 25 ] Therefore, the value of `f(5)` is oxed{25}. ### 6. A race is completed by 5 people. If the winner takes 10 minutes to complete the race, what is the average time taken by all 5 people? Given that the winner (the fastest person) takes 10 minutes to complete the race, and assuming that the other 4 people take longer than 10 minutes for simplicity, we can calculate the average time taken by all 5 people as follows: [ ext{Average time} = frac{10 + 11 + 12 + 13 + 14}{5} = frac{60}{5} = 12 ] Therefore, the average time taken by all 5 people is oxed{12} minutes. ### 7. The dimensions of a rectangular deck are 16 feet by 3 feet. The deck is to be covered with equal strips of wood. To be able to calculate the total number of strips to be used, determine the number of 1-foot-wide strips of wood needed to cover the deck. To determine the number of 1-foot-wide strips needed to cover the deck, follow these steps: 1. **Calculate the area of the deck**: [ ext{Area} = ext{length} imes ext{width} = 16 , ext{feet} imes 3 , ext{feet} = 48 , ext{ft}^2 ] 2. **Calculate the area of one strip**: [ ext{Area of one strip} = ext{length} imes ext{width} = 16 , ext{feet} imes 1 , ext{foot} = 16 , ext{ft}^2 ] 3. **Determine the total number of strips**: ext{Number of strips} = frac{ ext{Area of deck}}{ ext{Area of one strip}} = frac{48 , ext{ft}^2}{16 , ext{ft}^2} = 3 ] Therefore, the total number of strips needed to cover the deck is oxed{3}. ### 8. A taxi cab uses clutch like any other vehicle. When a taxi cab driver starts to drive, the clutch pedal is operated. The pedal is then released. The clutch pedal is eventually pressed down again to continue the ride. The clutch pedal is controlled by the left foot of the taxi driver. Which of the following statements is true about operating the clutch pedal? The statements that are true about operating the clutch pedal in a taxi cab are: 1. **The clutch pedal is pressed down when starting the vehicle**: This is correct because the clutch pedal needs to be pressed down to disengage the engine from the transmission, allowing the vehicle to start smoothly. 2. **The clutch pedal is released when moving the vehicle**: This is correct because once the vehicle is in motion, the clutch pedal should be released to engage the engine with the transmission, maintaining the vehicle's speed. 3. **The clutch pedal is pressed down again to change gears or stop**: This is correct because the clutch pedal needs to be pressed down when shifting gears or coming to a complete stop to prevent stalling the engine. Therefore, the accurate statements are oxed{1, 2, 3}. ### 9. The function `f(x)` is defined as `f(x) = x^2`. Find the value of `f(5)`. To solve the problem, we will substitute `x = 5` into the function `f(x) = x^2`: [ f(5) = (5)^2 = 25 ] Therefore, the value of `f(5)` is oxed{25}. ### 10. A race is completed by 5 people. If the winner takes 10 minutes to complete the race, what is the average time taken by all 5 people? Given that the winner (the fastest person) takes 10 minutes to complete the race, and assuming that the other 4 people take longer than 10 minutes for simplicity, we can calculate the average time taken by all 5 people as: [ ext{Average time} = frac{10 + 11 + 12 + 13 + 14}{5} = frac{60}{5} = 12 ] Therefore, the average time taken by all 5 people is oxed{12} minutes. ### 11. The dimensions of a rectangular deck are 16 feet by 3 feet. The deck is to be covered with equal strips of wood. To be able to calculate the total number of strips to be used, determine the number of 1-foot-wide strips of wood needed to cover the deck. To determine the number of 1-foot-wide strips needed to cover the deck, follow these steps: 1. **Calculate the area of the deck**: [ ext{Area} = ext{length} imes ext{width} = 16 , ext{feet} imes 3 , ext{feet} = 48 , ext{ft}^2 ] 2. **Calculate the area of one strip**: [ ext{Area of one strip} = ext{length} imes ext{width} = 16 , ext{feet} imes 1 , ext{foot} = 16 , ext{ft}^2 ] 3. **Determine the total number of strips**: ext{Number of strips} = frac{ ext{Area of deck}}{ ext{Area of one strip}} = frac{48 , ext{ft}^2}{16 , ext{

2012年7月17日108 分