Power + time - practice problems
Number of problems found: 84
- Trigonometric fx
When an acute angle φ is in the standard position, its terminal side passes through point P (1,3). Find trigonometric functions of angle θ : sin φ, cos φ, tan φ, cotan φ. - False positive, false negative
Suppose the likelihood of someone being allergic to cats is 1/1000 of the general population. A test to determine if you're allergic to cats has a false positive rate of 5%; that is, 5% of the time, the test will indicate incorrectly that you are allergic - Simple interest 5
At what simple interest rate should Renel invest his P45,000 so that it earns P5,500 in 1 year and 5 months? - Triangle 82
Triangle PQR has vertices located at (2, 2), (5, -4), and (-4, -1). What type of triangle is triangle PQR?
- Seamstresses 83192
Three sewers sew 7 skirts in 15 hours. How many skirts can 2 seamstresses make in 50 hours? - Strawberries 82738
Three classmates worked part-time during the summer vacation harvesting strawberries. Jan collected 145 baskets of strawberries during the entire time of the brigade. Peter collected 185 baskets. How many baskets did their classmate Stan collect, if we kn - Electrical 82513
How long will it take for a current of 8A in a resistance of 30 ohms to develop thermal energy of 3 MJ if the efficiency of converting electrical energy into heat is 90%? - Municipal 81852
Six workers repair 48 meters of municipal road in 2 days. How many days will 3 workers with the same output repair 60 meters of the road? - ELECTRICAL 81742
A cooker connected to a 40 V voltage source draws a current of 0.5 A. DOES THE SIZE OF THE ELECTRICAL WORK DETERMINE WHICH COOKER DOES IN 3 MINUTES?
- Effectiveness 80711
When testing the effectiveness of an electric cooker with data of 220 V, 1200 W, 1 kg of water at a temperature of 15 degrees Celsius was boiled for 8.5 minutes. Calculate the stove efficiency corresponding to these data - Determine 80705
The bulb is rated 6 V, 0.2 A. Determine the current rating of the bulb. - Resistance 80703
An immersion cooker has a resistance of 30 ohms and is connected to a voltage of 120 V. How much heat is generated in 2 hours? - Consumption 80702
A current of 500 mA passed through the filament of a light bulb with a resistance of 400 ohms. What is the consumption of a light bulb in 5 hours? - Resistance 80700
Determine the largest voltage on a resistor with a resistance of 150 ohms if the largest permitted electrical power current in the resistor is 2 W.
- Electrical 80549
The factory hall is lit by 76 light bulbs, each of which has an input of 200W. Determine how much electrical work will be saved annually if the light is on an average of 100 minutes less per day. Consider 260 business days. - Two brothers 4
Peter is 24 years, and his brother Tom is 6 years. For how long will Peter be three times as Tom? - Mr. Erel
Mr. Erel earns 12% compounded quarterly. He projected to collect Ᵽ500,000 after ten years. What is the amount he needs to invest? - Power during takeoff
The aircraft weighing 3.5 tons will disembark 1 km in 1 minute after takeoff and reach a speed of 290 km/h. Find the average power of its engines during this time. - Pump power
Determine the pump power if: I pour 3 m³ of water from the tank in 120 seconds with a hose. The height of the hose mouth above the tank is 1.5 m. The water's speed from the hose outlet is 20 m/s.
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