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find the slope of each line Sammy buys his clothes at SuperDuper Discount Store. On Saturday, he bought shoes regularly priced at $40 for 25% off, and a jacket regularly priced at $100 for 30% off. What is the total amount that he will have to pay? (Omit sales tax.) write each precent as a fraction in simplest from. 2%= Student ID number consists of 6 characters. The first fourcharacters can be any number 1-9 without restrictions. Thelast two characters are letters and cannot repeat. Howmany student IDs are possible?a) 6,760,000b) 4,264,650O C) 6,500,000d) 78Please hurry Prove that the conjecture is false by providing a counter example. How many missionaries lived on a mission? 1. 4 2 7 What does the distinction of black slaves tell you about the institution of slavery? 8(7k+5m) simplify the expression The southern colonies in America... *made money from shippingbelieved slavery was wrong and wanted it abolishedmade money from plantation farming and trading of enslaved peoplewere very diverse in their industry and citizens. PLZZZZZZZZZZZZZZZZ HELP ME !!!!!!!!!!!!!!!!!!!!!!!!!!!ravis received a letter from his bank saying that his checking account balance fell below zero. His account transaction log is shown below.A. On which line did Travis make a mathematical error? Explain Traviss mistake.Show all your work and explanation in order to receive full points.B. The bank charged Travis a $20 fee because his balance dropped below $0. He knows that he currently has an outstanding charge for $7.85 that he has not recorded yet. How much money will Travis have to deposit into his account so that the outstanding charge does not create another bank fee? Explain.Show all your work and explanation in order to receive full points. The following account balances were listed on the trial balance of Edgar Company at the end of the period: AccountBalance Accounts Payable$31,600 Cash 49,900 Common Stock 35,000 Equipment 16,000 Land 47,500 Notes Payable 62,500 The companys trial balance is not in balance and the companys accountant has determined that the error is in the cash account. What is the correct balance in the cash account? A 30-mm-diameter shaft, made of AISI 1018 HR steel, transmits 10 kW of power while rotating at 200 rev/min. Assume any bending moments present in the shaft to be negligibly small compared to the torque. Determine the static factor of safety based on:a) The maximum-shear-stress failure theory.b) The distortion-energy failure theory. I need to turn that into an equation but I cant figure it out. Three statistics professors and seven chemistry professors are available to be advisors to a student organization. The student organization needs two of the professors to be advisors. If each professor has an equal chance of being selected, what is the probability that both professors are chemistry professors? PLZ HELP EXTRA POINTS!!! ASAP!!Question 1 When food processors take the fat out of their products they add lots of sugar. True FalseQuestion 2The McGovern report was not allowed to tell Americans about the dangers of too much red meat, sugar and fat because those producers paid their congressional representatives to take part out of the report. True FalseQuestion 3Insulin turns sugar into energy. True FalseQuestion 4Sugar is 8 times more addictive than cocaine. True FalseQuestion 5The most common name sugar hides behind is dextrose. True FalseQuestion 6Sugar rich foods, drugs and alcohol are all addictive. True FalseQuestion 7Food companies use cartoon characters and celebrities to advertise their foods with too much sugar to young people. True False whats a ouji board ? Bill has candy from trick-or-treating. He has 15 Reese's and 20 Kit-Kat's.What is the ratio of Reese's to all candy? Nicotinic acid, HC6H4NO2, is a B vitamin. It is also a weak acid with Ka = 1.4 10-5. Calculate [H+] and the pH of a 0.041 M solution of HC6H4NO2. Explain and reason why the the moon rotates around the earth every lunar cyclePls explain ASAPBest answer will be marked as BRAINLIEST Can an opposite and an absolute value of an integer be the same?