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Suppose you have a sample of a pure glyceraldehydes of the specific rotation [α] = -8.70. Can you determine from this experimental fact alone, and without consulting the literature, if this is
Determine the heat evolved in freezing water at -10.°C, given that ΔH = -6004 J/mol at 273K for H2O(l) → H2O(s) and that CP,m(l) = 75.3 J/K⋅mol and CP,m(s) = 36.8J/K⋅mol.
The town had the population of 60,000 in 2000 and 70,000 in 2010. Determine the exponential function which will forecast the populations as the function of number of years since 2000.
Solve given quadratic equation exactly using quadratic formula. Write solutions in simplest form. Using the calculator, find all irrational solutions to nearest thousandth.
The rectangular field is to be subdivided in ten equal fields. There is 5050 feet of fencing available. Determine dimensions of field which maximizes total area.
Population of the certain species of fish has the relative growth rate of 1.6% per year. It is evaluated that population in 2000 was 11 million. Evaluate fish population in year 2005.
Half-life of radium-226 is 1600 years. Assume we have 27-mg sample. After how long will only 19 mg of sample remain?
After three days sample of radon-222 has decayed to 58% of its original amount. How long will it take sample to decay to 30% of its original amount?
3 forces with magnitudes of 210 newtons, 145 newtons, and 23 newtons act on the object at angles of 90 degrees, 225 degrees, and 55 degrees, respectively. Determine direction and magnitude of result
Use the grapher to sketch graph of function from part (a) incorporating restrictions from part b. d. use the grapher to find value of x for which volume is the maximum. also determine maximum volume
Write an equation of the polynomial function p having only roots -4,-2,1, and 3 and with given characteristics. There are several possible solutions.
Find tallest 9-foot wide truck which can pass through arch? Provide height accurate to two decimal places and find widest 16-foot high truck which can pass through arch?
The open rectangular box (no top) with volume six cubic meters has the square base. State surface area of box as the function of length of one of the sides.
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.