Question Solved1 Answer You are a newly hired air-traffic controller in the town of Newton. An aircraft pilot, under your observation, must reach the town of Euclid, 2000 km east of Newton, in exactly 4 hours. There is a wind coming from the south at a bearing of [N 28° E] at a speed of 47 km/h. Determine a plan that will direct the pilot in the correct direction and arrive on time.

An aircraft is flying horizontally at a constant height of 5000 ft above a fixed observation point (see the figure below). At a certain instant the angle of elevation 0 is 30° and decreasing, and the speed of the aircraft is 210 mi/h. 5000 ft Use 1 mi= 5280 ft. (a) How fast is a decreasing at this instant? Express the result in units of deg/s. Round your answer to one decimal place. O is decreasing at a rate of i ! deg/s. (b) How fast is the distance between the aircraft and the observation point changing at this instant? Express the result in units of ft/s. Round your answer to the nearest integer.

4-4. In a lie-detector test, an individual answers a series of questions, while connected to a polygraph (lie detector). This instrument measures and records several physiological responses of the individual on the basis that false answers will produce distinctive measurements. Assume that 99 percent of the individua who go in for a polygraph test tell the 4-4. In a lie-detector test, an individual answers a series of questions, while connected to a polygraph (lie detector). This instrument measures and records several physiological responses of the individual on the basis that false answers will produce distinctive measurements. Assume that 99 percent of the individua who go in for a polygraph test tell the truth. These tests are considered to be 95 percent reliable. In othe words, there is a 95% chance that the test will detect a lie if an individual actually lies. Let there also be 0.5% chance that the test erroneously detects a lie even when the individual is telling the truth. An individual has just taken a polygraph test and the test has detected a lie. What is the probability that the individual was actually telling the truth?

For what value of the constant c is the function f continuous on (−∞, ∞)? f(x) = cx2 + 8x if x < 3 x3 − cx if x ≥ 3 For what value of the constant c is the function f continuous on (-00,00)? s cx² + 8x if x < 3 f(x) = x3 if x 2 3 - CX C=

Item 13 No one has yet succeeded in creating a commercially viable way to produce energy through nuclear fusion. However, suppose we could build fusion power plants using the hydrogen in water as a fuel Energy Comparisons Item Energy (joules) 1.3 x 10 1 x 106 Energy of sunlight at Earth (per m” per second) Energy from metabolism of a candy bar Energy needed to walk for 1 hour Kinetic energy of a car going 100 km/hr Daily food energy need of average adult 1 x 10 1x 10° 1 x 10 Energy released by burning 1 liter of oil 1.2 x 10 1 x 10 5.6 x 1015 7 x 1013 Thermal energy of parked car Energy released by fission of 1 kilogram of uranium-235 Energy released by fusion of hydrogen in 1 liter of water Energy released by 1-megaton H- bomb Energy released by magnitude 8 earthquake Annual U.S. energy consumption Annual energy generation of Sun 5 x 10 2.5 x 1016 1020 10% Part A Based on the data in the table, how much water would we need each minute in order to meet U.S. energy needs? (Hint: Use the annual U.S. energy consumption to find the energy consumption per minute, and then divide by the energy yield from fusing 1 liter of water to figure out how many liters would be needed each minute.) Express your answer in liters per minute using two significant figures. PO AE O 31 ? 1/inin Submit Request Answer

Cash Register Assume that a local event coordinator asks you to write a Java application (CashRegister.java) to accept an event reservation with a payment option as cash only. This application must allow a clerk to enter the required information and display output for the reservation details. It must also enable the clerk to enter an amount of cash recelved Cash Register Assume that a local event coordinator asks you to write a Java application (CashRegister.java) to accept an event reservation with a payment option as cash only. This application must allow a clerk to enter the required information and display output for the reservation details. It must also enable the clerk to enter an amount of cash recelved and display a change amount. Required Information a. Customer's name, which includes both first name and last name b. Date of reservation c. Number of tickets purchased d. Cash Received (After balance due is shown) The cost per one ticket is \( \$ 25.50 \). The total price of the ticket purchased must include a sales tax of 7\%. After a clerk enters all information, the program will calculate a balance due for the customer. Then it must allow the clerk to enter an amount of cash received from the customer, which will calculate the change amount returned to the customer. Sample Runs Note: Your application must prompt the inputs and display the outputs precisely, as shown below in the sample runs. \( > \) run CashPegister \( \quad> \) run CashPegister Event Ticket Reservation (Cash Only) Event Ticket Resezvation (Cash Caly) Wiant of Custoner: Hane of Custoner: \( \begin{array}{ll}\text { Date of Resezyation: } & \text { Date of Pesetvation: } \\ \text { Thaber of Ticket(g): } & \text { Nubber of Ticket }(9) \text { 1 }\end{array} \) Reservation Decalls \( \quad \) Reservacion Details Yaate of Customer: John Doe Make of Custoner: Jane 5aith Date of Pesezvations 02/25/2016 Date of Peservationt 02/25/2016 thaber of Ticket(s): \( \epsilon \) Muaber of Ticketis is : Cost of Ticket(s) \( (25.50 \times 6): \$ 153.00 \) Cost of Ticket(9) \( (25.50 \times 2): \$ 51.00 \) Sales Tax: 410,71 Sales Tax: \( \$ 3,57 \) Balance Due: \( \{1 \in 3,71 \) Balance Due: \( \$ 54.57 \) Cash Peceivedi \( 4200.00 \quad \) Cash Peceived: 5600 Change Due: 436.29 Chenge Duez \( 45.43 \) Thank you toe yout resetvation. Thank you tor yout reservation.

- A particle travels along a straight-line path y = 0.52 shown in (Figure 1). The x component of the particle's velocity is ve (2+²) m/s, where t is in seconds. Figure у y = 0.5x Part A Determine the magnitude of the particle's velocity when t = 5 s. Express your answer to three significant figures and include the appropriate units. μΑ ? = Value Units Submit Previous Answers Request Answer X Incorrect; Try Again Part B Determine the magnitude of the particle's acceleration when t = 5 s. Express your answer to three significant figures and include the appropriate units. μΑ ? a = Value Units Submit Previous Answers Request Answer * Incorrect; Try Again