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Find all solutions of each of the systems of congruences:-
(a) x is congruent to 1 (mod 2) (d) 4x is congruent to 2 (mod 6)x is congruent to 2 (mod 3) 3x is congruent to 5 (mod 7)x is congruent to 3 (mod 5) 2x is congruent to 4 (mod 11)
(b) x is congruent to 1 ( mod 3) (e) x is congruent to 1 (mod 3)x is congruent to 3 ( mod 5 ) x is congruent to 2 (mod 4)x is congruent to 5 ( mod 7) x is congruent to 3 ( mod 7)x is congruent to 4 (mod 11)
(c) 3x is congruent to 1(mod 5) (f ) 2x is congruent to 1 (mod 5)
4x is congruent to 6 (mod 14) 3x is congruent to 9 (mod 6)5x is congruent to 11 ( mod 3) 4x is congruent to 1 (mod 7)5x is congruent to 9 (mod 11)
The director of a summer day camp estimates that 120 children will join if the camp fee is $250, but for each $25 decrease in the fee, five more children will enroll.
A plumber charges $315 for 3 hrs works, and $635 for 7 hrs work. How much will he charge for 6 hrs work?
how do you use all four basic mathematical operations addition subtraction multiplication and division in combination
Find an example from daily life that represents an extremely large or small number. An example of a very large number is 1 light year = 9.4605284 x 1012 kilometers or 9460528400000 kilometers.
In exercise (1), show that W is a subspace of V. Let { } be a basis of W. Show that { } is a basis of V.
Use substitution method
A parachutist and her parachute have a combined mass of 80 kg. She steps out from an aircraft travelling horizontally at 90m s-1 at a height of 300m above the ground, and falls for 5 seconds before instantaneously opening her parachute.
Solve the following equation for x.
Write a system of two equations in two unknowns for each problem. Solve each system by the method of your choice. What was the price of a book and what was the price of a magazine?
Find the coordinates of the point shown on the graph. What are the coordinates of the point?
Calculating the function values
Indentify the upper triangular matrix, square matrix, symmetric matrix.
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