Determine size of a standard square key made of 1045 hot rolled steel for a 2 inch DIA shaft transmitting 100 HP at 500 rpm with factor of safety 2.5 for yield in direct shear. W____inch L_____inch

Description (with words) of water just above melting temperature. What intermolecular forces do you expect to find in water in liquid state The diagram below shows the stages of succession in a forest ecosystem. A diagram showing 4 stages of succession in a forest ecosystem. Stage A: A mature forest. A fire occurs, resulting in Stage B, a burnt forest where nothing is growing. Stage C, pioneer plant species grow in the bare ground. More species follow and grow bigger. Stage D: A mature forest with several tree species and younger trees. Which area shows the climax community of secondary succession? 3^x+x=17solve for x A piece of aluminum with a mass of 100.0 g has a temperature of 20.0C. It absorbs 1100 J of heat energy. What is the final temperature of the metal? Which of the following is the sum of the slopes of the line 3x+y=1 and a line perpendicular to this line? A 0 B 13 C 83 D 6 Given O O below, the arcs G and JK must be congruent.G#A. True70"B. False125KSUBM A pentavalent cation atom has 20 and 15 neutrons as protons. Find the electron quantity and mass number respectively. (40 pts.) a) 20 and 15 b) 15 and 20 c) 15 and 35 d) 35 and 15 e) 10 and 20 Characteristics of competitive markets The model of competitive markets relies on these three core assumptions:1. There must be many buyers and sellersa few players can't dominate the market.2. Firms must produce an identical productbuyers must regard all sellers' products as equivalent. 3. Firms and resources must be fully mobile, allowing free entry into and exit from the industry. The first two conditions imply that all consumers and firms are price takers.While the third is not necessary for price-taking behavior, assume for this problem that a market cannot maintain competition in the long run without free entry.Identify whether or not each of the following scenarios describes a competitive market, along with the correct explanation of why or why not. Scenario Competitive?The government has granted the U.S. Postal Service the exclusive right to deliver mail.There are hundreds of high school students in need of algebra private teachers services in Dallas. Dozens of companies offer private teaching services, and the parents who seek out private teachers view the quality of the at the different companies to be largely the same.There are hundreds of colleges that serve millions of students each year. The colleges vary by location, size, and educational quality, which enables students with diverse preferences to find schools that match their needs.A few major airlines account for the vast majority of air travel. Consumers view all airlines as providing basically the same service and will shop around for the lowest price. help can you also show how you do it too Sehun (1986) finds that the practice of monitoring insider trade disclosures, and trading on that information, would be Group of answer choices extremely profitable for short-term traders. extremely profitable for long-term traders. not sufficiently profitable to cover trading costs. marginally profitable for short-term traders. marginally profitable for long-term traders. QUESTION 22costs.Deductions that may be taken from the paycheck before the employee receives it include___social security, and___ cost. The gift from Rebecca Smith (see previous question) earned $50,000 this year. The city council decides that these resources should be used to construct new sand volleyball courts for public use. Which fund should be used to account for the construction of the courts You have a wire that is 50 cm long. You wish to cut it into two pieces. One piece will be bent into the shape of a square. The other piece will be bent into the shape of a circle. Let A represent the total area of the square and the circle. What is the circumference of the circle when A is a minimum Julie has three boxes of pens. The diagram shows expressions for the number of pens in each box. Look at these equations.Equals B +12B equals C +4Write an equation to show the relationship between a + c What happens to the price and the quantity bought and sold in the cocoa market if countries producing cocoa experience a drought and a new study is released demonstrating the health benefits of cocoa Which phrase includes alliteration?O A. That cookie tastes like heaven on Earth.O B. The kitchen doors pulled me in, and before I knew it, I had gobbleddown the whole cake.O C. Ice cream is my savior on days like today.O D. Some sweet smells are wafting through the kitchen door. Describe the Atlantic Trade route. Which three locations did the trade route meet? What was traded along the route? What was the Middle Passage? Write your response in a complete paragraph. 1. Light from a laser shines through two narrow slits 0.300 mm apart and produces an interference pattern on a screen 4.35 m away consisting of 9 bright fringes over a distance of 6.4 cm. a) Draw a labeled diagram of this scenario and briefly explain how the interference pattern is created b) Calculate the wavelength of the laser. What color is it? Currently, a U.S. trader notes that in the 6-month forward market, the Japanese yen is selling at a premium (that is, you receive more dollars per yen in the forward market than you do in the spot market), while the British pound is selling at a discount. Which of the following statements is correct?a) If interest rate parity holds among the three countries, the United States should have the highest 6-month interest rates and Britain should have the lowest rates.b) If interest rate parity holds among the three countries, the United States should have the highest 6-month interest rates and Japan should have the lowest rates.c) If interest rate parity holds among the three countries, Japan should have the highest 6-month interest rates and Britain should have the lowest rates.d) If interest rate parity holds, 6-month interest rates should be the same in the U.S., Britain, and Japan.e) If interest rate parity holds among the three countries, Britain should have the highest 6-month interest rates and Japan should have the lowest rates. Use the given degree of confidence and sample data to construct a confidence interval for the population proportion p. n = 130x = 69; 90% confidencea. 0.463 < p < 0.599 b. 0.458 < p < 0.604c. 0.461 < p < 0.601 d. 0.459 < p < 0.603