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If ten grams is present now, how much will be present in 100 years? In 1000 years? The fossilized leaf has 70% of its normal amount of carbon 14. How old is the fossil?
Because of head winds, average speed on returning was 15 km/h less than average speed going out. Determine the two speeds.
Its height(in ft.) after t seconds is provided by: s(t) = -16t^2 + 96t +256. Determine when is ball at its maximum height?
Consider balloon to be sphere geometrically. Determine function A(t) that explains surface area of balloon as t differs.
The cost in millions of dollars for the company to produce x thousand automobiles is provided by function C(x) = 4x^2 - 24x +81. Determine number of automobiles which should be made to minimize cost.
Though, she knows that for each 10 extra trees she plants, she will lose four apples per tree. How many trees must she have in orchard to maximize production of apples?
Two pulleys of diameters 4m and 2m are connected to the belt. Larger pulley rotates 80 times per minute. Determine speed of belt in meters per second and angular velocity of the smaller pulley.
The typical tire for the compact car is 22 inches in diameter. If car is traveling at the speed of 60mph, determine number of revolutions tire makes per minute.
If specifications need base of box to have the area of 700 sq. in., what size squares must be cut from every corner?
Find minimum electric rate in cents per kwh for which 12-year total cost (purchase price + electricity costs)will be less for 1st freezer?
Consider f be the quadratic function whose graph is a concave up parabola with the vertex at (1,-4) and zero at the origin. Find the formula for f(x).
From the window in building it is observed that angle of elevation to top of tower is 39 degrees and angle of depression to bottom of tower is 25 degrees. How tall is tower? How high is window?
In what time will trains be able to completely pass each other, provided that trains are moving in same direction with faster train approaching the slower train?
Write down the difference between shape of the quadratic and cubic function? Describe relationship between zeroes of fuction y=f(x)and roots (or solutions) to equation f(x)=0?
The medians of the triangle are line segments from each vertex to midpoint of opposite side. Determine lengths of medians of trangle with vertices at A=(0,0), B=(6,0), and C= (4,4).
One half second after springing from the high diving board the diver reachers her highest point above water at 4.225m. If diving board is 3m aboove water, determine how long is diver in air?
The proposed energy tax T on gasoline, that would affect cost of driving vehicle, is to be calculated by multiplying number x of gallons which you purchase by 125,000.
On the single set of axes, draw horizontal line through ( -2, -1) and vertical line through (-2, 3). Find intersection of the lines? Write the equations of the lines?
Compute the polar coordinate point which is equivalent to (-3,6). Determine rectangular coordinate point that is equivalent to point -2cos60°.
The typical tire for the compact car is 22 inches in diameter. If car is traveling at the speed of 60 mi/hr, determine number of revolution tire makes per minute.
According to the function, find maximum number of households which will use product? According to the function, how many households will be using product 2 months after its introduction?
Growth rate y (in pounds per month) of the infant is associated to present weight x (in pounds) by formula y=cx(21-x), where c is the positive constant and 0<x<21. At what weight maximum gowth
Create the sketch of box and include labels. Formulate the suitable equation. Determine dimensions of box. Compute area of base of finished box.
I current which flows throughit (in amperes), then R=V/I. If voltage is 110, what values of resistance will result in the current which does not exceed 10 amperes?
Which function contributes most to magnitude of sum when 0 < x< 2? Which function contributes most to magnitude of sumwhen x> 6? f(x) = 3x =2 g(x) = -sqrt(x + 5).