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Question: a) Define the floor and ceiling functions from the set of real numbers to the set of integers.
b) For which real numbers x is it true that
Find the angle between the diagonal of a cube of side length 18 and the diagonal of one of its faces. The angle should be measured in radians.
Two circles of different radii touch internally at C. A tangent at P on the smaller inner circle touches the larger circle at A and B. Join ABC. Prove that CP bisects angle
explain how you could form five ordered pairs that would represent a function and five ordered pairs that would represent a relation. Explain your reasoning.
When the numbers of rows is equal to the numbers of columns equal to 'n'. Where m=n. Then is called.. A.a square matrix B.a column
Villages A , B , C and D are connected by overhead telephone lines joining AB , AC , BC , BD and CD . As a result of severe gales, there is a probability p (the same for each link) that any particular link is broken. Show that the probability that..
Determine the number of points in the sample space of the possible arrangements of boys and girls.
Why is it important to simplify radical expressions before adding or subtracting? How is adding radical expressions similar to adding polynomial expressions?
What is the appropriate negotiation strategy that would be most advantageous for Sharon and Jim in this scenario
Compute the probability of each of the following events
The scatter plot and best-fit line show the relation between the price per item (y) and the availability of that item (x) in arbitrary units. The correlation coefficient is -0.95. Determine the amount of variation in pricing explained by the varia..
A farmer has 90 feet of fencing with which to enclose two rectangular pens adjacent to a long existing wall, as shown below. He will use the wall for one side and the available fencing for the long side parallel to the wall
Find the slope of the tangent line to the graph of each function at the given point.
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