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Determine maximum volume of the box which is created by cutting the square of side x inches from every corner of a 12 inch by 18 inch piece of paper and folding up flaps.
Prove that each of indicated numbers is a zero of given polynomial function f. Determine all other zeros and then provide complete factorization of f(x) 1/4, 3/2; f(x) =8x^4-30x^3+23x^2+8x-3.
Graph equations, solve equations simultaneously to determine coordinates of any intersection points of the graphs.
Two methods in which you can find the graph are by plotting some points, or by utilizing the graphing calculator,y = |3x - 2| + 4. . Describe how you could determine the graph not using either of th
The total of $12,000 is invested in 2 corperate bonds which pay 7.5% and 9% simple interest. Investor wishes the annual interest income of $990 from the investments. Find amount must be invested in
Constant of proportionality K is poditive and depends on tension and density of string. What effect douibling length of string has on the frequency of vibration.
Find vertical asymptotes? Write the list of x-values of asymptotes separated by commas. If there are none, enter None.
The picture frame has the width of 2 inches. If area of frame is 128 square inches, and if picture itself is 4 inches longer than it is wide, determine the dimensions of picture?
The jeweler wishes to make the 1oz ring composed of gold and silver utilizing $200 worth of metal. If gold costs $600 per oz and silver $50 per oz, how much of each metal must jeweler utilize?
Illustrate that if x and y intercepts of the line are nonzero numbers a and b, then equation of line can be written in form: x/a + y/b = 1 and determine equation of line whose x-intercept is 6 and y
Distances from Earth to moon and to sun are about 4 x 108 km, respectively. Diameter of moon is about 3500 km. Find approximate diameter of sun?
The 13 foot long pole leans against the wall. Bottom is 5 feet from wall. How much farther must bottom be pulled away from wall so that same amount down wall?
At last walks for 90 minutes. Determine rule of function which expresses the distance traveled as the function of time.
Determine average rate of change of function y = f(x) between x = 1 and x = 2. Write the difference quotient which can be used to find slope of tangent to f(x) at x = 1.
The manufacturer discovers that revenue generated by selling x units of the certain commodity is provided by function R(x)=80x-0.4x2.
The fishery stocks the pond with 5000 young trout. Number of trout t years later is P(t)=5000e^-0.4t. Determine average change in population in first month.
Four corner posts are 30 (dollars) each, consider x be length of sides perpendicular to river. Find length of side perpendicular to river in feet?
Manufacturers total cost comprise of the fixed ovrhead cost of $12000 plus production cost of $400 per unit. How many refrigerator should be sold to break even?
Determine coordinates of center of circle. What radius must carpenters use to draw arch? Illustrate the work, formulas, rules, and computations for the problem.
Use information given to determine minimum amount of aluminum needed. Express values of r and h which minimize amount of aluminum used.
The perimeter of the triangle plot of land is 2400ft. Longest side is 200 ft less than twice the shortest. Middle side is 200ft less than longest side. Determine lengths of three sides of triangle
Suppose that earth is the sphere of radius 6378 km, determine difference in latitude of 2 cities, one of which is 400 km due north of other.
After mowing even rectangular strip around outside, he has mowed 1024square feet of lawn. Find how wide is strip of lawn which he has mowed.
Determine linear equation relating V with t, time in years since computer was bought. Determine the units for the slope?
Runner was situated 6 miles from intersection. Runner continues toward intersection at steady speed of 17 feet per second. When will runner's feet get wet?