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A rancher with 750 ft of fencing wants to enclose a rectangular area and then divide it into four pens with fencing parallel to one side of the rectangle.
(a) Find a function that models the total area of the four pens. (Use w to represent the width of the field, and write the function A in terms of w.)
(b) Find the largest possible total area of the four pens.
If the price of an item drops 10 cents per dozen, it becomes possible to buy 2 dozen more items for $6.00 than was possible at the original price. Find the original price.
Find the probability of random co-incidence, if the probability to get a certain value in both studies was the same, I would expect to have (125/1389)*38=3.41973 data-points with a larger value than the largest value in my study
A bag contains 5 yellow marbles, 16 green marbles, and 2 red marbles. What is the chance of drawing a yellow marble? If a yellow marble is drawn the first time and then a second marble is drawn without replacement
Find the slope and y intercept of the line. Graph the line 7x-5y=35. Decide whether the given linear equations are parallel, perpendicular or neither. y=4x+9 y=-1/4x+5/4
A particle passes through the point P = (6, 5, -2) at time t = 4, moving with constant velocity v = i - 3j + 6k. Find parametric equations for the motion of the particle.
To make a conjecture about the tangent lines and the graph with the proof of the conjecture - Find the distance between the functions is greatest, and prove your conjecture.
Write down 2 equations to compute a and P, one when t=2 and the other when t= 6.
chance of sitting in front of a crying baby all during a flight from California to Chicago does the poll show that Americans prefer buttered popcorn?
The base of an aquarium with volume V = 325 is made of slate and the sides are made of glass. If slate costs five times as much (per unit area) as glass, find the dimensions of the aquarium that minimize the cost of the materials.
Conversion of angle measures from degrees to radians - Fill in the missing blanks by using the conversions between radians and degrees to find your solutions
Probability- Considering Failure Rates, The records of Midwestern University show that in one semester, 38% of the students failed mathematics, 27% of the students failed physics
Find the true mean completion time of the task
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