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the function defined by s(t)= 576+144t-16t2 describes the heigh, in feet, of a rock t seconds after it has been thrown upward at 144 feet per second from the top of a 50-story building.
a. sketch the graph of sb. how long does it take the rock to hit the ground?c. determine the maximum height and the time it takes the rock to reach itd. determine physically reasonable definitions for the domain and range of x
A manufacturing cell claims they make 500 parts per day. D etermine if their claim is correct.
If the point A (3,4) is translated by the column vector (2,-5), what would be the co-ordinates of its image?
A certain club is collecting money for a charity. A local company has agreed to contribute $1 to the charity for every $3 collected by the club. How much money must the club collect in order for the total amount for the charity,
Jill's father bought Jill a car with the understanding that she would pay the car off in four years by making equal monthly installments. The car cost her father $5000 plus 9% sales tax. How much are the monthly payments Jill must make to her fath..
A grocer has three baskets of peaches. One holds 45 peaches and weighs 19 pounds, a second holds 55 peaches and weighs 23 pounds, and the third holds 65 peaches and weighs 26 pounds. what is the mean weight of a peach?
Calculating the probability that the player wins in a game of craps. The dice game craps is played as follows. The player throws two die, and if the sum is seven or eleven then she wins. If the sum is two, three, or twelve, then she loses
How many rectangles are there in a line of fifteen squares where sides are lined up with the adjacent sides touching the entire length of the side?
A manufacturer of lightning fixtures has a daily production costs of C(x)=800-10x+0.25x^2 where C is the total cost (in dollars) and x is the number of units produced.How many fixtures should be produced each day to yield a minimum cost?
The buyer of women's gloves currently has an average inventory of $20500, with an annual turnover rate of 4.0. Because this rate of stock turn is below the industry average, a 7.82% increase in turnover is sought.
Find the equation of the line that passes through the points (3,1) and (2,-1). Write the equation in slope-intercept form.
The plane y + z = 3 intersects the cylinder x^2 + y^2 = 5 in an ellipse. Find the parametric equations for the tangent line to this ellipse at the point (1,2,1)
Test your formula by evaluating both sides in the case.
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