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Angle of depression from skier to roof of lodge is 9 degree. 1 mile = 5280 feet. Determine direct line radio distance from skier to lodge?
Assume that the nuclear accident occurs and releases 60 grams of strontium-90 into atmosphere. How long will it take for strontium-90 to decay to the level of 10 grams?
Determine the expression for volume V of balloon in terms of time, that is, determine V(t). This is the demonstration of function composition and work must make clear.
Write coordinates of vertex for parabola. y2 -2y+25 + 3x = 0 Express equation of directrix for given parabola. y2 = -8x. Express equation of axis of symmetry for given parabola. (x-7)2 = - 4b + 2).
Write the given in standard form for the parabola. x2 + 2 x + 6 + 5y = 0. Write given in standard form for the parabola. y2- 16y + 89 4- 5 x = 0.
rite equation of circle with center (-2, -1) and radius of length 2 √3. Write equation of circle whose diameter has endpoints (-2, -2) and (-2, 8).
Two towns are situated at points A (20, 73) and B (45,10). Big City is situated at the origin. distances are in kilometers. Write displacement vector from Artesia to rest stop.
Hot air balloon takes off from edge of the plateau. Impose the coordinate system and suppose that path balloon follows is graph of quadratic function y=f(x)=-4/2500x^2+4/5x.
On y-axis indicate value and on x-axis the years. Write the linear equation which explains book value of machine each year. Determine book value of machine at the end of year four?
Find out equation of straight line through point (-1,5) with slope m=1. Illustrate all work. Determine slope of any line perpendicular to that in above equation? Describe?
Determine the slope of the line in an equation? Use the graph and slope of the line to describe meaning of the slope.
Use Descartes rule of signs and Rational Zeroes Theorem to determine all real zeros of polynomial function. Secondly, utilizing zeroes you found factor polynomial.
Graph of y=log(x) is translated 7 units to right, reflected about x-axis, and then translated 3 unit up. Find the equation of function which has new graph? Determine domain and range of new function
Determine the equation of the rational function which passes through (3,3), has y=x-2 as the oblique asymptote, and has x=-5 as its only vertical asymptote.
Function f(x) = 1 + 1.5 ln (x+1) models average number of free-throws basketball player can make consecutively. After how many days of practice can basketball player make the average of ten consecutiv
Stopping distance D of the car after brakes have been applied differs directly as square of speed s. Certain car traveling 50 mi/hr can stop in 240 ft. Find maximum speed it can be traveling if it
If final exam score counts for two-thirds of grades and tests count for one-third, then what range of scores on final exam would give her the final average over 70?
No 2 successive stories can be yellow, but they could both be green. How many different colour styles are possible for the n-storey building?
The poster has the rectangular printed area 100 cm by 140 cm and the blank strip of uniform width around edges. Perimeter of poster is 1.5 times perimeter of printed area. Determine the width of th
If the cow is tehtered to one corner of the rectangular barn, 10 x 20 feet, with the rope 100 feet long. Compute maximum grazing area for cow?
Ohio Turnpike is 241 miles in length and has service plazas situated 75 and 160 miles from Eastgate, entrance to turnpike at Pennsylvania line.
Cost "C" (in dollars) of manufacturing "x" chairs at Ashley's Furniture Factory is provided by function C(x) = 0.1x^2 - 52x + 13,525. How many chairs should be made to minimize cost?
The architect wishes to design the window with the area of 24 square feet in shape of the rectangle with semicircle on top. If "x" is width of window, state perimeter "P" as the function of "x".
The store decreases its prices before the sale and then returns prices to their previous levels when sale is over. If sale was 20% discount, by what percent are decreased prices raised after sale?
For the certain kind of tree diameter D (in feet) depends on tree's age t( in years) according to logistc growth model: