I m not so sure about this hehe

etically engineered killer hounds patrolling the grounds of the FORTRESS OF MISERY. Fortunately, Captain Proton has a piece of bone to whittle into a flute (assume this is a tube open at both ends). A sound with a frequency of 23015 Hz will disable the Killer hounds. Assuming a speed of sound of 334 m/s, how long must the flute be so that its fundamental frequency will disable the Killer Hounds? (3 points) 2. The delivery entrance of the FORTRESS OF MISERY is guarded by a Destructo-Bot that is programmed not to respond to any sound less than 50 dB in relative intensity. Captain Proton will set off a small explosion 10.0 m from the Bot. How much power must the explosion’s sound carry in order to exceed 50 dB at the Bot’s position. Assume that I0 is 1.0*10-12¬¬ W/m¬2. Surface area of a sphere = 4πr2. (5 points) that is due tonight

ersity maths). I would like some assistance as soon as possible (in the next few hours), so if you are unavailable, I would love it if another tutor could help. These are the questions that are similar to, but are not exactly the ones I am struggling with. Solving these would give me a better chance of solving my assignment. I don't know where to begin with these: Provide a non-solvable finite group G with solvable subgroups L, K, M such that G = LK = LM, M \neq K , and show that it fits the criteria. ///// Define G, a finite p -group, such that G isn't abelian. Let K \le G such that |G:K| = p , where K is abelian. Prove that there are either 1 or p + 1 such abelian subgroups, and if there are p + 1 , then the index of Z(G) in G is p^2 ///// Define N normal subgroup, G finite group, O the intersection of all maximal subgroups of G . Prove that G = ON and N \cap O is nilpotent. ///// Define p a prime number, G a finite group, K a Sylow p -subgroup of G . Assume M \le K and g^{-1}Mg \le K , where g \in G . Prove that g = km for some k \in N_G(K) (normaliser of K in G ) and some m \in C_G(M) (centraliser of K in G)

n, I completed parts A and B, but can't get C. We get all the answers to the questions but not how to get to the answer. The question is: Patrick changes velocity from 2.0 m/s North to 4.0 m/s South with an acceleration of 0.50 m/s/s South. (A) Determine how much time this process takes (ANSWER: 12 s). (B) Find his displacement (magnitude and direction) (ANSWER: 12 m South). (C) Find how much distance Patrick covered (ANSWER: 20 m). Another question I was having trouble with was this (I got part A but not parts B or C): Two cars are traveling along a straight line in the same direction, the lead car at 25.0 m/s and the other car at 30.0 m/s. At the moment the cars are 40.0 m apart, the lead driver applies the brakes, causing his car to have an acceleration of -2.00 m/s/s. (A) How long does it take for the lead car to stop? (ANSWER: 12.5 s). (B) Assuming that the chasing car brakes at the same time as the lead car, what must be the chasing car's minimum negative acceleration so as not to hit the lead car? (ANSWER: -2.29 m/s/s). (C) How long does it take for the chasing car to stop? (ANSWER: 13.1 s).