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Consider the unary relational symbols P and L, and the binary relational symbol On, where P(a) and I(a) encode that a is a point and a (straight) line in the 2-dimensional space, respectively, while On(a,b) encodes that a is a point, b is a line, and o lies on b.
Write first-order formulas over these relational symbols expressing the following (you can use the equality relation between lines/points):
(a) On every line, there lie at least two different points.
(b) Any two lines sharing at least two different points are identical.
(c) For any two different points, there exists exactly one line on which they lie.
A student is allowed to select at most n-blocks from a collection of (2n + 1) books. If the total number of ways in which he can select a book is 63, find the value of n. Solution
there are 300 students in the sixth grade. if 40% of them were girls, how many boys were there?
Determine how many square centimeters of paper are needed to make a label on a cylindrical can 45 cm tall with a circular base having diameter of 20 cm. Leave answer in terms of π.
Prove that cosec2theta+ sec2theta can never be less than 2
a boy is six months old his sister was given birth to three month after him. if their cousin is 0.33years old, arrange their ages in ascending order
#question.Find the slope of the line that passes through (7, 3) and (9, 6). Simplify your answer and write it as a proper fraction, improper fraction, or integer. .
Ashow that sec^2x+cosec^2x cannot be less than 4
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