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31. A club with eight members from grade 11 and five members from grade 12 is to elect a president, vice-president, and secretary. What is the probability (as a percentage to one decimal place) that grade 12 students will be elected for all three positions, assuming that all club members have an equal chance of being elected? 37 de th po th
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15. An 89 kg man runs up a flight of stairs as shown in the figure. What average “useful power” must the man exert to get to the top of the stairs in 5.0 seconds? < 4m -> A 523 W B 17.8 W C4,360 W D 3,490 W E 2,620 W
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8. A 0.10 kg tennis ball, dropped from a height of 1.0 m, bounces off the floor and returns to a height of 0.80 m. How much energy was “losť in the collision? A B C D E 0.088 J 0.196 J 0.980 J 0.784 J 0.091 J
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A child swings on a swing with a small amplitude so that its motion can be considered simple harmonic motion. If the child swings with a period of 6.3 seconds, what is the length of the swing? 6. A 9.9 m 3.8 m 3.2 m 6.1 m D 4.4 m E
Can you please show me how to find the absolute max and min of this? Please show 4 decimals. 2 foc) = 0.504 + 4 x3 3x +4 3 on [0,2 Please show all your work and show your steps. Use BLACK PEN AND PAPER. No typing. Clearly explain your answer and the steps you take. Write neatly, no cursive, and write in a linear fashion.
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equations and units.
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4. The position vs. time plot below shows the displacement of a 2.0 kg mass on a spring. What is the spring constant, k? y(cm) 0 0.2 0.3 0.4 >t(s) 0.5 A B C D E 293 N/m 1,970 N/m 493 N/m 333 N/m 604 N/m
Vx+1-1 Evaluate: lim x>0 х Please solve it in detail and show all your steps./
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Please show all work & explain your steps! pLease include
all units as well, thank you!