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In the long run, a firm in a perfectly competitive industry will supply output only if its total revenue covers its. 1717 (a)17 (b)Three friends Amir, Barry and Chloe always meet on Monday evenings.Each suggests one of three activities: shopping (S), a meal (M) or the cinema (C).Independently of each other.The probability of each activity being suggested by each friend is given in the table.AmirBarryChloeS0.40.250.2M0.30.550.30.30.20.5Find the probability that on a particular Monday they each suggest a different activity.[2 marks]Assuming independence, find the probability that in a period of four consecutiveMondays they all suggest the same activity on exactly two of the four Mondays.[4 marks] Molly has a rectangular piece of cardboard. If the length of the cardboard can be modeled by 3x - 1 and the width of the cardboard can be modeled by 2x + 5, which polynomial models the area of her piece of cardboard? * Both Charles Dickens and James Joyce incorporate dialogue into their passages. Use evidence you have gathered from both passages to write an essay analyzing how the dialogue in each passage functions to reveal aspects of the characters. You should discuss more than one character from each passage. Write a multiparagraph essay (4 paragraphs) addressing this prompt Factor completely. If the polynomial is not factorable, write prime. a^8 - a^2 B^6 Please help me will give brainlyist If an aqueous solution is 5.321m, which of the following statements is incorrect?A) Freezing point of solution will lower by 10 CB) Boiling point of solution will increase by 2.72 CC) Boiling point of solution will be 100 CD) Osmotic pressure of solution will be higher than water 40 points for this question! Using the library resources, I would like you to find an article that is related to juvenile justice that specifically addresses juvenile violence and provide the necessary support to show that you have a solid understanding of the article. I would like you to give me your perspective concerning the article. However, I do not want the entire article to be your perspective. Make sure to properly reference any and all support for the article. The Library Guide tab will provide resources to search for an applicable article for this assignment. your paper should:Summarize the article contentsIdentify any applicaple criminological theories that applyIdentify and detail best practices for reducing juvenile violenceCite support from at least three credible academic sources Estimate the area under the curve f(x)=1/x on [1,2] by using 4 approximating rectangles with a) left endpoints, b) right endpoints, then c) take the average. Consider the following triangle. A right triangle. The hypotenuse is 5 feet, the side opposite to angle theta is 3 feet, the side adjacent to angle theta is 4 feet. If sin Theta = three-fifths, what is the measure of the angle? a. 53.1 b. 36.9 c. 30.1 d. 59 HELP MARKING BRAINLEIST IF CORRECT What is the maximum speed of a point on the outside of the wheel 15 cm from the axle?. Find the molarity of 194. 55 g of sugar (C12H22O11) in 250. ML of water have they abandoned the institutions? change into passive voice A triangular prism has a net as shown below.4m5m5m3mWhat is the surface area of this triangular prism?20 points if you help me out! Eva invests $6700 in a new savings account which earns 5.8% annual interest, compounded daily. what will be the value of her investment after 3 years? round to the nearest cent. A 1.5 M solution of HCl has 145 g of HCl dissolved, what is the volume of the solution? the construction industry has a large impact on societyand the gereration of wealth. dicuss the impact under the following headingdirect and indirect employment the creation of weaththe impact of building on society Determine the takeoff of 2 x 12's needed for the floor framing and sum it all up into a total linear feet of 2 x 12's required. For example, ten - 2 x 12's at 12' would be 120 linear feet.