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When car is 30 meters from crossing, car's new collision detector warns driver that there is atrain 50 meters from car and heading toward same crossing. How far is train from crossing?
If aircraft flew same distance in 2 hours with wind speed as it flew in 3 hours against wind, find wind speed? Use either subsitution method or elimination method of solving simultaneous equations.
If we y denote depth of water x hours after midnight, determine a sine function of form y=Asin(Bx+C)+D , where A > 0, B > 0, and 0 ≤ c < 2Π, to model water's depth (in feet) as functio
Describe briefly, and then illustrate how the explanation works by finding speed of river's current (in kilometers per anhour), if paddle wheel revolves 40 times per minute.
The engineer is asked to create the water sprinkler which will cover the field of 90 square yards which is in shape of the sector of the circle with radius 10 yards. By what angle must sprinkler rot
When the clock reads 4:00, determine radian measure of the(smaller) angle between hour and minute hand? When the clock reads 5:30, find radian measure of the(smaller) angle between hour hand and minut
An area of the rectangle is product of it length and width, and equals 1062. If lengh is 5 more than 3 times width, determine width of rectangle.
Assume that it cost $100 to manufacture 50 pairs of mittes and $150 to manufacture 150 pairs of mittens. Write the quadratic cost equation. If there is no overhead [that is, if f(0)=0]
Assume that instead of linear growth, town experiences quadratic growth in form P=8t2+P0 where t is time in years from 2010.
Assume c is directly proportional to square of d. If c=45 when d=3, determine constant of proportionality and write formula to determine c when d=5.
Additionally, workers get place work rate of $0.75 per unit produced. Write the linear equation for hourly wage W in terms of number of units X produced per hour.
Find probability that the student will get all correct answers by chance if he or she is guessing? If 12 correct answers has passing grade, find probability that he or she will pass?
How to account for the difference when compared to linear equations? At what step in process make sure to get two solutions if using Completing Square method?
It seems that when using Quadratic Formula equation x2 - 2x + 1 = 0 has only one answer. Why is this? If this same equation were factored as (x - 1)(x - 1) = 0. Desribe why solution is called double
What facts regarding solution of the quadratic equation can be reduced from discriminant of quadratic formula? Or we can say, what different kinds of solutions are possible depending on value of dis
The culture of bacteria obeys law of unihibited growth. If 500 bacteria are present initially and there are 800 after one hour, how many will be there in culture after five hours.
Determine coordinates of points of intercection of the graphs algebraically. Illustrate steps to support answer. Write equation of tangent to graph f(x) at its relative minimum point.
The profit in dollars in making x- items of some commodity is provided by equation P = - 2 x^2 + 2400 x - 10000. How many items must be made to break even?
So P(y) represents percentage of returns filed electronically for filing year. Determine average of change of percentage of e-filed returns from 1998-2000.
The open box with the square base is needed to have the volume of 10 cubic feet. State amount A of material utilized to make such a box as the function of length x of side of square base.
Solve equation x3 - 1 = 0 by factoring left side as sum of two cubes and setting every factor equal to 0. Apply quadratic formula as needed.
Determine y-intercept of line containing points(6,-1) and (-8,0). Write the answer correct to three decimal places. Determine slope of line having the points (6,4)and (-7,8).
Determine the radius of circle with equation. Compute coordinates of center of circle with equation. Determine sum of h and k coordinates of center?
What function predicts for percent of freshmenentering college in 2002 who did volunteer work during their last year of high school? How this compares to actual percent of 82.6?
Graph function using equation in part i. Describe why it is not essential to plot points to graph when using y = a (x - h)2 + k. Illustrate graph. Explain graphing.