Applied Mathematics Final Exam Latest

Applied Mathematics Final Exam Latest A veterinarian uses a spring scale to weigh a cat... Which expression represents the spring constant? (1 kg=9.8 N) - -19.6 N/4 A tow truck accelerates at a rate of 0.5 meters per second... What is the force applied by the tow truck? - 600 N 6 liters of a gas has a pressure of 4 atmospheres... Enter your answer as a decimal to the 10th place, like this: 4.2 l - 4 Which situations are best modeled by exponential growth or decay? Select all that apply. - - the population of an invasive species that reproduces at a rate of 20% each year - the amount Carbon-14 a fossil has over time given the half-life of Carbon-14 is 5730 years Gold (Au) has a synthetic isotope that is relatively unstable... What is the half-life of this isotope? - 4.25 Minutes Examine The Graph The motion of a drone is modeled as velocity over time. What is the equation for this model? Select all that apply. - V = 2t^2 - 3t - 4 An engineer draws an assembled gear in perspective. How does this gear appear when viewed from above? - The Washington Monument is 169 meters tall with a square base 16.8 m wide... What is the area of the replica's base in square meters rounded to two decimal places? - XX = 2.10 COULD BE = 4.41 An architect designs a building with glass on all sides, solar panels on the roof, and an underground garage... What amount of glass, in square meters (m^2) is needed for the building? - 37,440 m^2 A landscape architect designs a walkway around a pond, as shown in the image. The architect uses a 30-60-90 right triangle to estimate the total length of the walkway. She measures the shortest side of the triangle as 15 meters. What are the lengths of the other two sides? - Side b = 25.98 meters Side h = 30.0 meters A civil engineer plans to build an incline bridge over a river as shown. The bridge will span a section that is 35 meters wide, with ends of the bridge set back 2.5 m from each river bank. The engineer must apply right angle relationships because one river bank is 9 m higher than the other. What is the final length of this bridge? - 41 m High-definition (HD) televisions today have a 16:9 aspect ratio (width to height)... Allowing for 2 inches of Styrofoam padding on all sides of the TV, what is the smallest possible length and width of a shipping box for a 75- inch HD TV? - 68 by 40 A biologist on a 50-meter observation tower at the edge of a beach sees a great white shark swimming near the surface. The biologist sees the shark at an angle of depression of 10° How far is the shark from the observation tower? - 283.56 m An architect designs a wheelchair ramp for a historical building. The entry way is a level platform at the top of stairs that are 3 meters above ground level and extend 4 m out from the building. There is an obstacle 25 m from the stairs, and the city code for ramps limits the incline angle to 6° Is there sufficient distance for a ramp within this limit? How do you know? - No, Because the ratio of 3/25 is greater than tan 6°