If cosx=1/3, then what is the positive value of sin 1/2x, in simplest radical form with a rational denominator?

Create appropriate range namnes for Total Production Cost (cel B18) and Gross Profit (cell B21) by selection, using the values in the left column Edit the existing name range Employee Houtty Wage to Hourly_Wages 2018 Note, Mac users, in the Define Narne dialog box, add the new named range, and delete the original one. Use the newly created range names to create a formula to calculate Net Profit (in cell B22) Create a new worksheet labeled Range Names, paste the newly created range name information in cell A1, and resize the columns as needed for proper display On the Forecast sheet, start in cell E3. Complete the series of substitution values ranging from 10 to 200 at increments of 10 gallons vertically down column E. Enter references to the Total Production...Cost. Gross. Profit, and Net Profit cells in the correct locations (F2, G2, and H2 respectively) for a one-variable data table. Use range names where indicated Complete the one-variable data table in the range E2:H22 using cell B4 as the column input cell, and then format the results with Accounting Number Format with two decimal places. Apply custom number formats to make the formula references appear as descriptive column headings. In F2, Total Costs, in G2, Gross Profit, in H2, Net Profit. Bold and center the headings and substitution values. Copy the number of gallons produced substitution values from the one-variable data table, and then paste the values starting in cell E26. Type $15 in cell F25. Complete the series of substitution values from $15 to $40 at $5 increments Enter the reference to the net profit formula in the correct location for a two-variable data table Complete the two-variable data table in the range E25.645 Use cell B6 as the Row input cell and B4 as the Column input cell Format the results with Accounting Number Format with two decimal places according to recent data from the federal election commission, which of the following generates the greatest voter turnout? What conclusions can you draw about the battle of San Juan Hill? trucks in a delivery fleet travel a mean of 120 miles per day with a standard deviation of 11 miles per day. the mileage per day is distributed normally. find the probability that a truck drives between 99 and 128 miles in a day. round your answer to four decimal places. A student walks 1.0 kilometer due east and 1.0 kilometer due south. Thenshe runs 2.0 kilometers due west. The magnitude of the student'sresultant displacement is closesttoA. 3.4 kmB. 1.4 kmC. 4.0 kmD. O km Question 2State the probability that a randomly selected, normallydistributed value lies betweena) o below the mean and o above the mean (round tothe nearest hundredths)b) 20 below the mean and 20 above the mean (roundto the nearest hundredths) 0.0125 inches thickQuestion 41 ptsThe combined weight of a spool and the wire it carries is 13.6 lb. If the weight of the spool is 1.75 lb.,what is the weight of the wire?Question 51 pts in the passage from othello: act ii, scene iii, which of the following rhetorical devices does iago use to emphasize the severity of his intentions? ab and bc are perpendicular lines find the value of x of 25 If the area of one side of this cube is 25 cm^2 2 , what is the area of the whole surface of the cube? cm^2 2 QUESTION 4 He walked to the gas station. What is the noun in this sentence? a. He b. walked c. to the d. gas station a. in the sample: i. what is the average value of birthweight for all mothers? ii. for mothers who smoke? iii. for mothers who do not smoke? b. i. use the data in the sample to estimate the difference in average birth weight for smoking and nonsmoking mothers. ii. what is the standard error for the estimated difference in (i)? iii. construct a 95% confidence interval for the difference in the average birth weight for smoking and nonsmoking mothers. Place the three sets of conditions in order. Begin with the set that gives the greatest number of triangles, and end with the set that gives the smallest number of triangles. Condition A: One side is 6 inches long, another side is 5 inches long, and the angle between them measures 50. Condition B: One angle measures 50, another angle measures 40, and a third angle measures 90. Condition C: One side is 4 inches long, another side is 9 inches long, and a third side measures 5 inches. Match the term with the correct definition.Put responses in the correct input to answer the question. Select a response, navigate to the desired input and insert the response. Responses can be selected and inserted using the space bar, enter key, left mouse button or touchpad. Responses can also be moved by dragging with a mouse.SerifModifierTypefacePunctuationDescribes the subject in the sentence.A small cross line, often perpendicular to the stroke of the letter, that is decorative but also makes the letter easier to read.The visual design of symbols, including letters and numbers.Indicators in the written word that help with navigation of the text.9.Match the examples of a style revision with its name.Put responses in the correct input to answer the question. Select a response, navigate to the desired input and insert the response. Responses can be selected and inserted using the space bar, enter key, left mouse button or touchpad. Responses can also be moved by dragging with a mouse.Only time will tellWhat's UpYou know what I meanHeretoforeArchaic expressionFillerSlangCliche which approach to analysis of trade deficits indicates that in the absence of excess capacity in the economy, currency devaluation provides only a temporary improvement in a country's trade deficit, and that long-term improvement requires either a smaller fiscal deficit or a larger excess of domestic savings over domestic investment? Given that x is a positive integer less than 100, how many solutions does the congruence x+13=55 (mod 34) have? On January 15th, Linus transfers property to a trust over which he retains a right to revoke one-fourth of the trust. The trust is to pay Patti 5% of the trust assets valued annually for her life with the remainder to be paid to a qualified charity. On September 1st, Linus dies and the trust becomes irrevocable. Which of the following statements is/are correct? 1. The trust is created January 15th. 2. The trust is created when it becomes irrevocable at September 1st. 3. Linus receives a charitable deduction equal to the present value of 25% of the remainder interest. 4. Linus receives a charitable deduction equal to the present value of 75% of the remainder interest 3 and 4 3 only O1 only. 1 and 2 Read the following excerpt from William Shakespheres The Tempest. PROSPEROAbhorred slave,Which any print of goodness wilt not take,Being capable of all ill! I pitied thee,Took pains to make thee speak, taught thee each hourOne thing or other: when thou didst not, savage,Know thine own meaning, but wouldst gabble likeA thing most brutish, I endow'd thy purposesWith words that made them known. But thy vile race,Though thou didst learn, had that in't which good naturesCould not abide to be with; therefore wast thouDeservedly confined into this rock,Who hadst deserved more than a prison.Apex Learning - ExamCALIBANYou taught me language; and my profit on'tIs, I know how to curse. The red plague rid youFor learning me your language!Discuss two of this excerpt's themes. How does Shakespeare develop these two themes over thecourse of the entire play? Support your argument with evidence from the text. (30 points) Baker School's hockey games are 60 minutes long. Nico played for 30 minutes of the last game. What percent of the game time did Nico play?Pick the model that represents the problem. (a) Compute the specific heat at constant volume of nitrogen (N2) gas, and compare it with the specific heat of liquid water. The molar mass of N2 is 28.0 g/mol. (b) You warm 1.00 kg of water at a constant volume of 1.00 L from 20.0C to 30.0C in a kettle. For the same amount of heat, how many kilograms of 20.0C air would you be able to warm to 30.0C? What volume (in liters) would this air occupy at 20.0C and a pressure of 1.00 atm? Make the simplifying assumption that air is 100% N2.