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From two points P and Q which are 140 feet apart, lines of sight to the flagpole across the river makes angles of 79 degrees and 58 degrees, respectively, with line joining P and Q. Find distances
Invest money in account bearing 51/2% annual interest compound quarterly. Find equation for value of investment as the functioin of time for each of three options.
Sound waves can be given by equations of form y=20sin(3t+θ). Find what kind of interference results when sound waves modeled by equations y=20sin(3t+90) and y=20sin(3t+270) are combined.
Determine the linear equation which provides maximum healthy weight y for person whose height is x inches over 4 feet 4 inches. x = 0 corresponds to 4 feet 4 inches and x = 8 to 5 feet,etc.
The coporate office gives demand curve to its ice cream shop franchises. At the price of $1.00 per scoop, 240 scoops per day can be sold. Evaluate how many scoops could be sold per day at the price
The airplane has the spee of 450 mph. Assume that wind verlocity is provided by vector w= (22, 37). In what direction (vector) must airplane head to fly due west.
Alex has the mass of 60 kg. He utilized 345 calories in 45 minutes by riding the stationary bike followed by the swim. How much time did Alex spend on every activity?
Compute total cost to produce 100,000 items. Compute marginal cost of items to be made in this plant and what does this mean to manager?
Directions are to determine the quadratic function f(x)= ax^2 + bx + c which satisfies given condition. Graph passes through (2, -1), zeros of f are 1 and 3.
Write equation for the line which is parallel to y=2/3x-4 and passes through point (-3,8). Write an equation for the line that i perpendicular to y=-4x+7 and passes through point(2,-5).
The boat is traveling at 10 mph heading NE and is pushed by the current of 3 mph from south of west. Find speed of boat and resultant direction.
Utilize the algebraic approach to solve problem. If complement of an the is 10° less than one-sixth of the supplement, determine the measure of angle.
The time T essential to make the enlargement of the photo negative differs directly as area A of enlargement. If 24 seconds are needed to make the 3-by-4 enlargement, determine time required for 5-
Gravitional attraction A between two masses differs inversely as square of distance between them. Force of attraction is 9lb when masses are 2ft apart, find attraction when masses are 6ft apart?
Students in mathematics class were provided exam and then tested monthly with equivalent exam. Average score for class was provided by human memory model.
Angles of elevation to the airplane from two points A and B on level ground and 51 degrees and 68 degrees, respectively. Points A and B are 2.5 miles apart, and airplane is east of both points in s
The person walks part of way at 5 miles per hour, then jogs rest of way at 9 mph. Determine the formula which expresses total amount of time for trip, T, as the function of d, distance walked.
Decay of Iodine, How long will it take quantity of iodine 131 to decay to 25% of initial amount, suppose that it decays according to function stated by A(t)=A0e-.087t , where t is time in days?
To create the open rectangular box from the 38x44 piece of cardboard by cutting congruent squares from corners and folding up sides.
Demonstrate that maximum possible area for the rectangle inscribed in the circle of radius R is 2R2. Maximize a square of area.
The farmer is enclosing the rectangular plot of land which will be bounded on one side by the river and fenced on other three sides. Determine maximum area which can be enclosed if 880 yards of fen
Determine probability which there are no arrivals in the given half hour period. The nurse works for the two hour period. Determine probability that there are fewer than 10 casualties during period.
Evaluate slope of tangent at c1, and similarly at c2. Explain the observations. d. Graph function, along with line equations of evaluated tangents through points (c1,f(c1)) and (c2,f(c2)).
In the alternating current circuit, voltage E is provided by E=IZ, where I is current (in A) and Z is impedance (in ohms). If I = .728-.462j amperes and Z = 210 140j ohms, determine complex number r
Let u1,u2,...,u6 be centers of sub-intervals. Calculate f(u1),...,f(u6), and use the values to find area under curve. b. Partition interval into 12 sub-intervals.