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Then, find out the points on line \(ax+by=c\) for a,b,c positive which are closest to origin (0,0). Draw the picture to illustrate that answer is possible.
Observers in two towns A and B on either side of the 12,000 ft mountain estimate th angles of elevation between ground and top of mountain.
Problem the model for population growth is P(t)=P0e^kt where t is eztimted in years in this case. if population doubles every five years, how long it takes to triple, quadruple?
The ship sails due west from the harbor for 28 nautical miles. It then sails S66°W for another 18 nautical miles. How far is ship from harbor?
The angle of depression from the helicopter 3000 feet directly above the allied mortar station to the enemy supply depot is 13 degrees. How far is depot from mortar station?
The Observer on opposite side of river measures the angle of 9 degrees between her line of sight to tope of flagpole and her line of sight to top of cliff. Determine the height of the flagpole.
Suppose the percentage score is the linear-to- linear function of number of hours which you study. If you wish the score of 80%, how long do you require to study?
Determine work done when the constant force F=300i + 400j is applied to the object which moves along vector D=10i-2j. where units are in pounds and feet. Find magnitude of F and intepret result.
The rectangular piece of sheet metal with the area of 1200in^2 is to be bent into the cylindrical length of stovepipe having the volume of 600in^3. Find dimensions of sheet metal?
The group of high school students is renting the bus for $600 to take to the amusement park day after prom. Determine the function, C(x), which represents cost of trip per student.
The airplane is flying at 230 mph with the bearing of N 20degree W. Wind is blowing from East to West at 18mph. Determine true velocity of airplane as the vector.
(a) verify the given factors of function, (b) determine remaining factors of f, (c) employ results to write complete factorization of f, and (d) write all real zeros of f function: f(x)=3x^3+2x^2-19
At the point 200 feet from the base of the building, angle of elevation to bottom of the smokestack is 35 degrees, while angle of elevation to top is 53 degrees. Determine the height of smokestack
The basketball player shoots ball with velocity of 19.7 ft/s at the angle of 42.8 degrees with horizontal. To nearest tenth, determine magnitude of horizontal component of resultant vector?
Given the magnitude of vectors u an v and angle, theta, between them, determine magnitude of sum u+v to nearest whole number and angle which sum vector makes with u to nearest degree lul= 34 lvl=43 th
You observe that angle of depression to the car is 29.5°. Observation deck is 1450 feet above ground. How far is it from building to car?
Assume you had the graph, but not the algebraic rule or table of values, for the function f. How is graph of y=2f(-x) got from the graph of f?
40 watt bulb intensity was estimated in otherwise dark room. Determine the power function which provides light intensity as the function of distance.
Driving time is inversely proportional to velocity. Compute constant of proportionality K, and then write the power function formula for time as the function of velocity.
Draw the graph of depth of water over time if there is low tide starting at time = 0 (at 12:00 noon). Label graph indicating high and low tide over 24 hours.
Pressure P (lbs/ft2) in the pipe varies over time. Draw the oscillating graph of pressure vs time where time is in minutes.
Earth has the period of 365 days and is 93 million miles from sun. Using the power function equation, determine k and then express P as the function of d.
When traveling to different countries there are exchange rates for individual country's currency. Find a formula for Dollars as the function of yen utilizing composite functions.
When weight is moved it moves up and down. Use these two graphs to reply the following questions. Which weight is closest to ceiling when not in motion?
This age has been disputed by several scholars. Using age, compute what percentage of original amount of C-14 remained in cloth as of 1988.