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When hawk is at the height of 60 meters, snake sees hawk, that is diving at 30 meters/second. Approximately how much time does snake have to escape?
Write and graph the piecewise-defined function which provides depth of snow during snowstorm. How many inches of snow accumulated from storm?
Assume f(x) = -1/4(x-2)^2 (x-5)^5 (x-3)^3 and g(x)= x 4. Determine y=k(x)=f[g(x)]. Determine leading term of k(x) and state the end behavior.
The ant is traveling around the circle with the radius of 30 meters. If in 10 seconds the central angle of 1/6 radian is swept out, determine the speed of the ant? Illustrate work.
Create the mathematical model for each plan which provides total monthly cost in terms of total number of minutes of calls placed in a month.
S.S. Sprockets company produces sprockets which cost company dollars each to build, and company's other expenses total dollars.
The ball is thrown straight upward at the initial speed of v0 = 40 ft/s. When it reaches the height of 56 ft? Find the greatest height reached by ball?
Write the formula for the linear function which models situation described where x is number of years after 1900. Determine the domain of function?
Determine the area of largest rectangle which can inscribed in the right triangle with legs of lengths 24 cm and 10 cm if two sides of rectangle lie along legs of triangle.
She has been wondering whether or not to lower the prices, so she takes the survey and finds that for each dollar decrease she would gain 3 sales per day. What must her selling price be to maximize
Assume it is evaluated that in year 2070, A will be 800 if r = 2.5% and A will be 560 if r = 1.5%. If, in 1990, A = 340 and r = 1%, determine year in which amount of carbon dioxide in atmosphere wil
Household using 1000 cubic feet was billed $40, as one using 1600 cubic feet was billed $55. Determine the charge per cubic foot?
The open box with the square base is needed to have the volume of 10 cubic feet. State amount "A" of material used to make such box as the function of length 'x' of the side of square?
If two vertices of the equilateral triangle are (0, 4) and (0, 0), determine third vertex. How many of these triangles are possible?
Write the function which represents the polynomial model of stock market, plotting net change in total stock market and the day.
Mass of particle at rest and c is speed of light. Where m0 is rest mass of particle and c is speed of light in the vacuum. Determine inverse function of f and describe its meaning.
From 125 feet uphill from base of the tree, angle of depression to top of tree is 8.1 degrees, and the additional 6.5 degrees to base. Determine distances x and y, and how tall is tree h?
Two angles of elevation from opposite sides of the helicopter, and from 200 feet apart, are 12.3 degrees and 17 degrees. How high is copter off ground?
The open rectangular box is to be made from the piece of cardboard 32 inches wide and 32 inches long by cutting the square from each corner and bending up sides.
Determine the formula for function which exchange dollars in return for Euros. How many Euros would receive for exchanging 350 dollars after going through two step exchange process?
The spherical weather balloon is being inflated. Starting at 25 cm, radius of balloon is increasing at rate of 6 cm per second. State surface area of balloon as the function of time T (in seconds).
Buzz also wishes to use fencing to split enclosure into 4 parts. Interior sides are parallel to two of the sides. What dimensions must enclosure have to maximize total area?
The new running track is to be constructed in shape of the rectangle with semicircles at every end. Track is to be 440 yards long. State the area of region enclosed by track, A, as the function of i
Between 1996 and 2004, number of subscribers to cell-phone plans grown about exponentially. Find continuous growth rate of number of cell-phone subscribers?
Math problem, Student's surveyed boys and girls seperatley to determine which sport was enjoyed the most.after completing the boy survey it was determined that for every 3 boys who enjoyed soccer,5 bo