Your neighbor is digging a hole in his back yard for an in-ground swimming pool. The rectangular hole is 21 feet wide, 42 feet long, and 12 feet deep. If his pickup truck can haul one cubic yard, how many trips will it take him to haul all of the dirt away?


a. 32

b. 392

c. 3528

d. 10584

The demand for a new computer game can be modeled by p (x )equals 48.5 minus 5 ln x, for 0less than or equalsxless than or equals800, where p(x) is the price consumers will pay, in dollars, and x is the number of games sold, in thousands. Recall that total revenue is given by R (x)= x * p (x). Complete parts (a) through (c) below.a. Find R(x).b. Find the marginal revenue, R'(x)c. Is there any price at which revenue will be maximized? Why or why not? Choose the correct answer below. a. No, because p(x)R'(x). Therefore, the revenue cannot be maximized. b. No, because the marginal revenue, R'(x), has no maximum. Therefore, revenue will always increase c. Yes, because the revenue will be maximized when R(x)-R'(x). The price to the consumer would be $:_____ d. Yes, because the revenue will be maximized when R'(x)=0. The price to the consumer would be $:_____ WILL GIVE BRAINLIEST ANSWER!! How are the steps for graphing a lineusing slope-intercept similar to usingpoint-slope? How are they different? Which President had a very strong stand against the Soviet Union and increased the U.S military spending.a. Nixonb. Ford c. Kennedy d. Reagan is x = 4 a solution to this . 2x2 - 3x + 2 = 54 Why is the Toulmin Method so successful? A. Because it is used so often B. Because it takes account of an opposing argument and refutes it C. Because it involves supporting data and a warrant D. It is often unsuccessful What phone apps would Thomas Jefferson use back when he was alive? give at least 3 apps with an explanation. Why did the US and UN send troops when North Korea attacked South Korea?to create an allianceto protect colonial intereststo follow the containment policyto create a demilitarized zone 13This week Andres will practice with his band for 15 hours on Monday, 1 - hours on Tuesday, and 224hours on Wednesday. Next week Andres will practice with his band for the same number of hourson Monday, Tuesday, and Wednesday.What is the total number of hours Andres will practice with his band over these 6 days? Can someone plz help me Im being timed hurry!!!!!!!!!!!! f(x) = x+4g(x) = 3x2 - 7Find (fg)(x) The surface area of the square pyramid is 96 square inches. Find the value of x. Marigold Corp. uses the periodic inventory system. For the current month, the beginning inventory consisted of 477 units that cost $65 each. During the month, the company made two purchases: 715 units at $68 each and 364 units at $70 each. Marigold Corp. also sold 1197 units during the month. Using the LIFO method, what is the amount of cost of goods sold for the month? Creativity within organizations can be enhanced by Group of answer choices employing only those individuals from environments that nurture creativity. encouraging employees to have less risk propensity. making it part of the organization's culture. setting ambiguous goals and objectives. training individuals to have an external locus of control. The passage most clearly implies that Nick, the narrator, believes:A. Gatsby is guilty of murder.B. Gatsby is hiding his true background.C. Gatsby is taking part in illegal activities.D. Gatsby never studied at Oxford . What structure in amoebas aids in phagocytosis? Which of the following statements best describes how both liberal andconservative social forces affected women's lives in the 1920s? What is the vertex of the quadratic function: y=1/2(x-3)2+8?(3,8)(-3,-8)(-3,8)(3,-8) Which expression is equivalent to (6. p) + 3? An increase in the price of a good will cause suppliers / producers to__________the amount of the good (quantity supplied). the According to these directions, when should you test yourphone by turning it on?1. after you take the phone out of the water and remove the SIM card2. after you remove the phone from the bowl or bag of riceafter you complete Step 9 and wait 24 hours3. after you complete Step 12 and get help from a professional