A 14 kilogram beam is hinged at one end. A 6.0-kilogram triangular object and a 7.5-kilogram capital I-shaped object are placed as shown in the figure. The dots indicate the individual centers of gravity of the beam and objects. The center of mass of the entire system must be:

Please complete the attached proof. Thanks. We decided to ____the plan of going to London due to lack of money.put uppull throughgive uplook up True or False - the following scenario depicts an independent relationship between variables (tree growth and air quality): 20% of trees growing in a particular region are not growing to their expected height. In a particular neighborhood in that region, the Air Quality Index is labeled as "Unhealthy for Sensitive Groups" or worse 30% of the time. 10% of the trees in the region grow in this neighborhood. If you randomly measured the growth of a tree in that neighborhood, then the probability that that tree is not growing to its expected height is 33.33%. -3 n is an integer.Write down the possible values of n.I Jim and Jane purchased their house a year ago and have been transferred out of town. They paid $275,000 for the property and ended up after expenses with only $225,000. Their percentage of loss on the sale was: If AB = CA and m1 = 45, what is m3? A. 47 B. 45 C. 43 D. 90 Find the equation for the plane through the points Upper P0 (-2 ,2 ,-5),Q0 (1,2,-1), and Upper R0 (-1,-5,4 ).The equation of plane is:________ True or False? About 20% of female high school students have tried smoking at some point. what is the function of guard cells? Find the value of x. Leave your answer in simplest radical form. The chord measures 14, the diameter measures 18. Hint: use pythagorean theorem The pressure of sulfur dioxide (SO2) is 2.27 x 104 Pa. There are 418 moles of this gas in a volume of 57.9 m3. Find the translational rms speed of the sulfur dioxide molecules. Balance sheet and income statement data indicate the following: Bonds payable, 11% (due in 15 years) $1,023,237 Preferred 8% stock, $100 par (no change during the year) $200,000 Common stock, $50 par (no change during the year) $1,000,000 Income before income tax for year $383,882 Income tax for year $115,165 Common dividends paid $60,000 Preferred dividends paid $16,000 Based on the data presented above, what is the times interest earned ratio (round to two decimal places) Phone company A conducted a study that showed 97% customer satisfaction, with a standard deviation of 1%. The sample included 25 people who appear in one of their commercials during the past three years phone company B conducted a study to show 94% customer satisfaction with a standard deviation of 4% a random sample consisting of 100 customers which of the company claims is more believable and why? A.Phone Company A because the time span was longerB. Phone company B bc the sample was not biasedC. Company A bc the standard deviation is smallerD.Company B because the standard deviation is larger The functions f(x) and g(x) are shown on the graph.Ax) = 1xWhat is g(x)?10f(x) = x1g(x) = ?1010-5A. g(x) = [x - 51O B. g(x):= [X1 - 5O.C. g(x) = 1x1 + 5D. g(x) = (x + 51 Need help ASAP !! Give your intended audience some idea of what to expect choose a situation or problem that the play will discuss your problems can be something you've observed in your own daily life or in events of your time Amherst Metal Works produces two types of metal lamps. Amherst manufactures 20,000 basic lamps and 5,000 designer lamps. Its simple costing system uses a single Indirect-cost pool and allocates costs to the two lamps on the basis of cirect manufacturing labor-hours. It provldes the following budgeted cost Information: Calculate the total budgeted costs of the basic and designer lamps using Amherst's simple costing system. Begin by Calculating the budgeted indirect cost rate for the single indirect cost pool. First select the formula, then enter the applicable amounts and calculate the rate Abbreviations used: MOH = Manufacturing Overhead Budgeted indirect manufacturing costs Budgeted manufacturing labor hours- Budgeted MOH rate per manutacturing labor-hour 234,000 13,000 S 18 Now calculate the total budgeted costs and per unit costs of the basic and designer lamps using Amherst's simple costing system. (Round all per unit amounts to two decimal places.] Basic lamps Total Per unit Direct materials Direct manufacturing labor Total direct costs Indirect costs allocated Total costs 180,000 $ 200,000 380,000 9.00 10.00 19.00 A substance in a solid phase (state) of matter has what? (3^2y^3)^3 =3x^5y^69^6y^927x^5y^627x^6y^9 Elana and her father inflict pain on Georyn as part of his training true or false Vicente has a prism- like water tank whose base area is 1.2 square meters. He bought 6 goldfish at the store and the store owner told him to make sure their density in the tank isnt more than 4 fish per cubic meter. What is the lowest possible height so the fish arent too crowded