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The propellers of Amazon Paradise have the radius of 1.2m. At full throttle propellers turn at 135rpm. Determine linear speed at tip of propeller blade in meters per seconds.
The angle of elevation from the point A on ground to top of water tower is 19.9 degrees. Point B, 50 feet closer, has the angle of elevation of 21.8 degrees. Determine height of water tower?
Plot zeros of f(x) you found in part (a) on the unit circle and label coordinates. Determine all zeros of f(x) State the answers in terms of z where z is integer.
) Rock reaches 8 feet above creek half second after child throws it, and then begins to fall. This is vertex of parabola describing rocks height. Find coordinates of vertex in terms of (time, height
Determine a, b, c, and e. Find coordinates of center of sun is center of hyperbolic orbit is (0,0) and Sun lies on positive x-axis?
Graph function f = log2x. Then utilize transformations of the graph to graph log2(x-2)+2 in same rectangular coordinate system.
If half life of the compound is 1500 years, determine continuous rate of decay for that compound? Write function which will provide amount of the compound after t years.
When sun is in east and = 0o when sun is in south. What percentage of R 0 is striking wall when is equal to 45o and sun is in southeast?
You observe the plane approaching overhead and suppose that its speed is 500 miles per hour. Angle of elevation of plane is 17° at one time and 55° one minute later. Find altitude of plane.
Determine the height of the flagpole which sits atop a hill, if it makes the angle of 122 degrees with hillside, and angle of elevation between side of hill to top of flagpole is 35 degrees at the d
Suppose that earth is the sphere of radius 6378 kilometers, find difference in latitude of two cities, one of which is 800 kilometers due north of other?
Write an equation of line passing through (1,-3) and is parallel to given line. Write an equation of line passing through (-2,4) and is perpendicular to given line.
Joe invested 16,000, the portion earning the simple interest rate of 5% per year and rest earning 10% per year. How much did he invest at given rate if total interest he earned was $1150?
Two ships depart from Honolulu Harbor at same time. One travels at 15 knots (nautical miles per hour) bearing 150 degrees, and other travels at 12 knots bearing 200 degress. How far apart two ships
The fossilized leaf has 70% of its normal amount carbon 14. how old is fossil? The thermometer reading 72oF is placed in the refrigerator where is constant 38oF.
The population of the Midwestern city follows exponential law. If N is population of city and t is time in years, state N as the function of t. If population decreased from 900,000 to 800,000 from 200
The business bought for 650,000 in 2001 is sold in 2004 for $850,000. Determine annual rate of return for the investment?
Suppose that scientist has sample of 100 grams of iodine 131. when will 70 grams of iodine 131 be left? Determine half life of iodine 131?
The number N of bacteria present in culture at time t(in hours) obeys law of uninhibited growth N(t) = 1000e0.01t. Find number of bacteria at t = o hours.
$100 invested at 12% compounded continuously after the period of 3years. Which two rates would yield larger amount in 1 year in problem
Determine atmospheric pressure at summit of Mount Pico de Orizaba (mexico), whose summit is at 5657 m. Assume temperature at summit is T=12 C.
Graph function utilizing transformations of basic function, then strategically plot the few points to check the work and round out graph. Sketch and label asymptote. y=2-x -1.
During first seconds of the rocket flight, rocket is propelled straight up so in t seconds rocket reaches the height of s=5t3(to the third power). Find average velocity of rocket in first 135 feet o
How many pounds of peanuts and how many pounds of cashews are in bag? Describe how to set up and solve any equations you use.
From city B to city C, plane flies 810 miles at the bearing of 115 degrees. Determine distance from A to C and bearing of A to C?