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How many solutions do systems of linear inequalities have? Do solutions to systems of linear inequalities need to satisfy both inequalities? How does a solution set of a system of equations differ from that of a system of inequalities?
A particle moves along the x-axis in such a way that its acceleration at time t for t>0 is given by a(t)=3/t^2. When t=1, the position of the particle is 6 and he velocity is 2.
According to this model when will the earth's population reach 20 billion, 39.9 billion?
Given an alphabetically sorted list of 500,000 people’s names and telephone numbers, describe an algorithm that you could implement that would allow you to find a given person’s telephone number in the shortest amount of time.
Probabilities, A survey of MBA students obtained the following data on "student's first reason for application to the school in which they matriculated".
A man with a tibia length of 40 cm long should be about 176 cm tall, and a man with a 44 cm long tibia should be 188 cm tall. By letting x represent the length of the tibia and y the height of the person; write and equation of a line relating the ..
number of correct answers on a test and test score 4) number of students in a class and number of students of with brown hair
Let E be a metric space, S a subset of E, and let f:E-R be the function which takes the value 1 at each point of S and 0 at each point of the complement of S. Prove that the set of points of E at which f is not continuous is precisely the boundary..
a plane travels 470 mi 340 mi against the wind. wind speed is 26mph. what is the distance traveled in still air?
Aki's Bicycle Designs has determined that when x hundred bicycles are built, the average cost per bicycle is given by C(x)= 0.1x^2-1.4x+5.509, where C(x) is in hundreds of dollars. How many bicycles should the shop build to minimize the average co..
V3(R) represents the set of vectors in 3D space. What kind of geometrical objects are represented by the various subspaces of V3(R)?
She borrowed the maximum amount she could at 3.5% simple annual interest and the remainder at 7% simple annual interest. At the end of the first year, she owed $259 in interest. How much was borrowed at each rate?
The height of a circular cone is changing at 1 inches per second (in/sec) and the diameter of its base is changing at -7/10 in/sec. What is the rate of change of its volume when the height is 100 inches and the diameter is 50 inches?
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