Two aircraft A and B are at the same height and are travelling horizontally at 500km/h. A is flying due north and B is flying due west. The bearing of B from A is 15 and the distance AB is 10km. (i)...

Two aircraft A and B are at the same height and are travelling horizontally at 500km/h. A is flying due north and B is flying due west. The bearing of B from A is 15 and the distance AB is 10km. (i)...

A particle moves in a straight line so that its distance, s m, from a fixed point A on the line is given by s=2t2−4t+9, for t less than or equal to 3, where t is the time in seconds after passing...

A particle moves in a straight line so that its distance, s m, from a fixed point A on the line is given by s=2t24t+9, for t less than or equal to 3, where t is the time in seconds after passing...

Given that g(x)=4/x , x is not equal to 0 and fg(x)=2x+3 find the function f. This is composition functions/

Given that g(x)=4/x , x is not equal to 0 and fg(x)=2x+3 find the function f.

Find the number of ways in which a team of 6 batsmen, 4 bowlers and a wicket keeper may be selected from a squad of 8 batsmen, 6 bowlers and 2 wicket keepers. 8C6x6C4x2C1=840 Find...

Find the number of arrangements using all of the letters in the word LOGARITHMS. How many of these arrangements have the consonatns G and H separated? Ans 2903040

A committee of 6 members is to be chosen from 6 women and 5 men. Calculate the number of ways this can be done if a minimum of 4 men must be chosen. Ans:81

In a row of 6 counters, 3 are red, 2 are blue and 1 is white. Find the number of arrangements in which no red counter is next to another red counter. Ans is 12

In a row of 6 counters, 3 are red, 2 are blue and 1 is white. Find the number of arrangements in which no red counter is next to another red counter.

Find the total number of permutations of the 9 latters of the word ISOSCELES which have no two of the letters C,L,S,S,S consecutive.

In a row of 6 counters, 3 are red, 2 are blue and 1 is white. Find the numver of arrangements in which no red counter is next to another red counter.

Find the total number of different permutations of all the letters of the word RESERVE Find the number of these permutations in which (i) E is the first letter (ii)...

A row of 10 houses is to be painted in 3 colors. 2 houses are to be red, 3 to be blue and 5 to be white. Find the number of different ways in whih the row of the houses can be painted (I)...

Six distinct points are marked on each of two parallel lines. (i)Calculate the number of distinct quadrilateral which may be formed using 4 of the 12 points are vertices. (ii)...

A Sixth form contains the Head Boy, the Head Girl and 8 other students. The form is asked to send a group of 4 representatives to a conference. Calculate the number of different ways in which the...

Construct the equation for the reaction between iron(II) ions, hydrogen ions, H+ and oxygen to form iron(III) ions and water. The answer is 4Fe2+(aq) + 4H+(aq)...

``Given that dy/dx=(a/x^2)+1 and that when x=1 dy/dx=3 and y=3 find the value of y when x=2.''.

A conical vessel with a base radius 3 cm and a vertical height of 20 cm is arranged with its vertex facing downwards. Water is being added at a constant rate of 1 cm^3/s and leaks away through a small...

N is a fixed point on the circumference of a circle, centre O, radius 12cm. A variable point moves round the circumference with a constant speed of 4cm/s. The angle PON is denoted by θ. Find...