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The 30-ft tree casts the 16-foot shadow on horizontal ground. Girl standing at the tip of shadow is looking at the bird nesting at top of tree. At what angle is girl looking up?
Assume that terminal side of angle a lies in quadrant II and terminal side of angle B lies in quadrant I. If tan a=-3/4 and cos B=3/8, determine exact value of cos (a-B).
Determine amount of radioactive lead remaining after (a) three years, (b) eight years, (c) fifteen years, (d) compute the half life.
After 15 minutes, temperature of coffee is 39 F. Utilize newtons law of cooling to compute coffee's temperature after 20 minutes.
The rectangle is inscribed with its base on a x axis and its upper corners on curve y=16-x^4. Determine dimensions of such a rectangle which has greatest possible area?
In Physics, the radioactive decay is the procedure in which the unstable atom spontaneously emits particles and radiation. Determine k if 25% of Radium disappears after 120 years.
Determine the volume of air at moment. Illustrate the steps which lead to the solution with correct units of measure.
The projectile is fired from the tall building in such a way that it is h meters above ground and t seconds after firing. Compute maximum height reached by projectile.
A difference quotient of given funtion y=f(x) is stated as. Determine difference quotient for f(x)=3x-2. Illustrate the steps and substutution for the solution.
If the car runs over the nail at 55 mph and nail is lodged in tire tread 13 in. from center of wheel, then find angular velocity of nail in radians per hour?
On same set of axes, draw the graph of transformation of log given by f (x + 2) + 3 . Show on your graph where the three points from parts (a) and (b) are on the transformed graph.
If function f is even, find other point that should be on the graph of function? If function f is odd, find other point that should be on the graph of function?
Write the possible rational zeros of the function. Factor the polynomial completely over set of complex numbers.
Write and graph the piecewise function which shows the employee's weekly pay, W, as the function of number of hours, h, that employee works.
If g(x) is transformation of f (x) = x after the vertical compression by 3 / 4 , the shift left by 2, and the shift down by 4. Write the equation for g (x).
Determine the Median Pay for Mathematicians in 2010? What do Mathematicians Do for the living? How do you become the Mathematician?
Describe how numbers 7, 1.4 and 5 are associated to situation modeled by equation. Determine slope of equation and interpret slope in context of problem. Provide units for slope.
The 16 inch wire is to be cut. One piece of wire is to bent into shape of the square, whereas other piece is to be bent into shape of the rectangle whose length is twice width.
Write equation in standard form. Find significant features of graph. Determine intersection points, if any, for each system of equations.
Initial amount of money is placed in the account at the interest rate of 3% per year, compounded continuously. After 3years, there is 3227.81 in account. Determine initial amount placed in account.
Determine complex-number representation for E. E = volts (Simplify the answer. Use integers or decimals for numbers in expression.
Provided that sin x= 5/13, cos y = (-3/5), and both x and y are in quad II. Find exact value of tan(x+y). Write down sin(pi/4 + arcsin x) as the algebraic expression.
After 8 minutes, temperature of coffee is 122F. By how many degrees will temperature of coffee decrease in next 8 minutes?
The bacterial culture has the initial population of 10,000. If the population declines to 7000 in 8 hours, what will it be at the end of 10 hours?
The cellular phone plane had given schedule of changes. Create the piecewise function which associates monthly charge C for x minutes od calls.