Find the other non zero gamma function.
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- Find numbers a and b such that ax + by =(9, -1, 10), where x =(3, -1, 0) and y =(0, 1, 5). Is there more than one solution?Find the general solution of the equation using the Cauchy–Euler law.A machine to manufacture fasteners has a setup cost of $1,500 and a unit cost of $0.003 for each fastener manufactured. A newer machine has a setup cost of $1,750 but a unit cost of only $0.0025 for each fastener manufactured. Find the break point. (Round your answer to the nearest whole unit.)
- A media personality argues that global temperatures are not rising, because every year an increase is reported such as 0.08 degrees C. The difference from the previous year is less than the margin of error of about 0.15 degrees C, so that difference should be ignored. What is a strong counterarguement? A. Even 0.08 degrees is a lot and thus should be considered. B. The margin of error is just extra information and thus can be ignored. C. The difference with any previous decade is much greater than the margin of error. D. 0.15 - 0.08 is 0.07, which is still an increase and thus should be considered.Assume that the production of 1 unit of magnesium requires 0.8 units of magnesium and 0.2 units of aluminum, and that the production of 1 unit of aluminum requires 0.3 units of magnesium and 0.2 units of aluminum.One of your duties is the selection and disposal of boxes of obsolete files. According to regulations, ordinary files become obsolete after 24 months, confidential files after 36 months and classified files after 48 months. Which of the following boxes of files can be disposed of: A box containing ordinary files dated 26 months ago and classified files dated 34 months ago. A box containing ordinary files dated 38 months ago and confidential files dated 28 months ago.
- A man launches his boat from point A on a bank of a straight river, 3 km wide, and wants to reach point B, 8 km downstream on the opposite bank, as quickly as possible. He could row his boat directly across the river to point C and then run to B, or he could row directly to B, or he could row to some point D between C and B and then run to B. If he can row 6 km/hr and run 8 km/hr, where should he land to reach B as soon as possible? (Assume that the speed of the water is negligible compared with the speed at which the man rows)How many days would a 67-unit construction activity lasts if this activity have a parameter of 0.9manhours per unit would last and that there's only 9hrs per day allotted to construction work. Neglect any additional allowances for overtime.Solve g), h), i), j) please
- The doughnuts look the same on the outside, but have different fillings inside. Each box contains the same number of each kind: 4 lemon, 2 chocolate and 2 jelly. If Mr. Te gave one doughnut to his brother to each each day, how likely is it that his brother didn't get a lemon-filled doughnut on either day? Express your answer in 2 decimal places.Lane 1 at your local track is 0.24 mi long. You live 0.5 mi away from the track. Which of the following results in the shortest term? a). Jogging 6 times around the track in Lane 1. b). Jogging to the track and then 5 times around the track in Lane 1. c). Jogging to the track, 3 times around the track in Lane 1, and then home. d). Jogging 8 times around the track in Lane 1.You wish to cross the 11 m x 10 m courtyard without being detected by the two guards and escape through a door located on the western wall. Guard 1 is located in a tower at the northeast corner of the yard and Guard 2 is located in the yard, in the southwest corner, as shown in the figure below. Guard 1 can hear you if anything more than 1/36 of the footstep sound energy reaches them; similarly Guard 2 can hear you if anything more than 1/16 of the footstep sound energy reaches them (Guard 1 can hear more due to his elevated height in the tower). Assume for now that both guards are fixed at these locations and cannot move unless they detect you. Based on this information, answer the following questions. 1. determine if it exists, the safe distance between the two hearing zones of the guards for you to pass through undetected? (Hint: use Pythagorean Theorem or distance formula) Distance between two red dots is:________________ . (5 pts) We know that the radius of the hearing zones are:…