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- Use the trapezium rule to estimate the area under the curve y = x2 + x – 6 over the interval 0 = x =...(Solved)
Use the trapezium rule to estimate the area under the curve y = x2 + x – 6 over the interval 0 ≤ x ≤ 8 using 4 trapezia.
Date posted: September 19, 2019. Answers (1)
- a)Expand (2 + x/4)5 upto the term in x3. b) Use your expansion to estimate the value of (1.975)5. Give your answer in 3 significant...(Solved)
a)Expand (2 + x/4)5 upto the term in x3.
b) Use your expansion to estimate the value of (1.975)5. Give your answer in 3 significant figures.
Date posted: September 19, 2019. Answers (1)
- A industrialist has 450 litres of a chemical which is 70% pure. He mixes it with a chemical of the same type but 90% pure...(Solved)
A industrialist has 450 litres of a chemical which is 70% pure. He mixes it with a chemical of the same type but 90% pure so as to obtain a mixture which is 75% pure. Find the amount of the 90% pure chemical used.
Date posted: September 19, 2019. Answers (1)
- The sum of two numbers m and n is 7. The sum of m and the reciprocal of n is 3 ¼. Find the two...(Solved)
The sum of two numbers m and n is 7. The sum of m and the reciprocal of n is 3 ¼. Find the two possible values of m and n.
Date posted: September 19, 2019. Answers (1)
- Show that;(Solved)
Show that;
Date posted: September 19, 2019. Answers (1)
- Ruth deposited sh20,000 in a fixed deposit account for a period of 1½ years. The bank pays compound interest on quarterly basis. At the end...(Solved)
Ruth deposited sh20,000 in a fixed deposit account for a period of 1½ years. The bank pays compound interest on quarterly basis. At the end of this period her account had shs46,200. Determine the rate at which interest was paid per annum.
Date posted: September 19, 2019. Answers (1)
- The average of the first and fourth terms of a G.P is 140. Given that the first term is 64, find the common ratio. (Solved)
The average of the first and fourth terms of a G.P is 140. Given that the first term is 64, find the common ratio.
Date posted: September 19, 2019. Answers (1)
- Simplify(Solved)
Simplify 
Date posted: September 19, 2019. Answers (1)
- Make A the subject of the formula given that(Solved)
Make A the subject of the formula given that 
Date posted: September 19, 2019. Answers (1)
- Given that 1.5 = x = 3.8 and 2.4 = y = 5, determine the smallest and the greatest value of x – y and...(Solved)
Given that 1.5 ≤ x ≤ 3.8 and 2.4 ≤ y ≤ 5, determine the smallest and the greatest value of x – y and hence the range of x – y.
Date posted: September 19, 2019. Answers (1)
- A ball is kicked vertically upwards from a point 0.5m above the ground at a velocity of 16m/s. Assuming that acceleration due to gravity is...(Solved)
A ball is kicked vertically upwards from a point 0.5m above the ground at a velocity of 16m/s. Assuming that acceleration due to gravity is 10m/s2
Determine
a)An expression for its velocity t seconds later
b)An expression for its height above the ground t seconds later
c)The maximum height reached by the ball
Date posted: September 19, 2019. Answers (1)
- a)Using a ruler and a pair of compass only construct triangle ABC in which angle BAC = 120o AB = 6.4cm and AC = 7.0cm (Solved)
a)Using a ruler and a pair of compass only construct triangle ABC in which angle BAC = 120o AB = 6.4cm and AC = 7.0cm
Measure
i) angle ABC
ii) BC
b) Construct the circumscribed circle of triangle ABC with O as its centre. Describe the circumscribed circle as a locus
Date posted: September 19, 2019. Answers (1)
- A particle moving along a straight line covers a distance 5 metres in time t seconds from a fixed point O on the line where...(Solved)
A particle moving along a straight line covers a distance 5 metres in time t seconds from a fixed point O on the line where s = t3 – 6t2 + 8t – 4
Find
a)The velocity of the particle when t = 5
b)The acceleration when t = 5 seconds
c)The time when the velocity of the particle is constant
Date posted: September 19, 2019. Answers (1)
- Mukai travels from A to B at xkm/h. The two towns are 40km apart. She then travels to town C at (x + 6)km/h. Town...(Solved)
Mukai travels from A to B at xkm/h. The two towns are 40km apart. She then travels to town C at (x + 6)km/h. Town B and C are 100km apart. If the time she takes from B to C is the same time from A to B, find the value of x
Date posted: September 19, 2019. Answers (1)
- Simplify completely(Solved)
Simplify completely
Date posted: September 19, 2019. Answers (1)
- A two-digit number is made by combining any of the two digits 1, 3, 5, 7 and 9 at random.
a)Make an array of possible combinations
...(Solved)
A two-digit number is made by combining any of the two digits 1, 3, 5, 7 and 9 at random.
a)Make an array of possible combinations
b)Find the probability that the number formed is prime
Date posted: September 19, 2019. Answers (1)
- Grade x and grade y sugar cost sh60 and sh50 per kilogram respectively. In what proportion must the two grades be mixed to produce a...(Solved)
Grade x and grade y sugar cost sh60 and sh50 per kilogram respectively. In what proportion must the two grades be mixed to produce a blend that cost sh53 per kilogram
Date posted: September 19, 2019. Answers (1)
- A point T divides a line AB internally in the ratio 5:2. Given that A is (4,10) and B(11,3). Find the coordinates of T(Solved)
A point T divides a line AB internally in the ratio 5:2. Given that A is (4,10) and B(11,3). Find the coordinates of T
Date posted: September 19, 2019. Answers (1)
- In mr Mukala’s shop, a radio has marked price of ksh10000. Mr mukala can allow a reduction of 15% on the marked price and still...(Solved)
In mr Mukala’s shop, a radio has marked price of ksh10000. Mr mukala can allow a reduction of 15% on the marked price and still make a profit of 25% on the cost price of the radio. What was the cost price of the radio?
Date posted: September 19, 2019. Answers (1)
- An arc of a circle radius 3.5cm is 9.1cm long. Find the angle it substends at the centre of the circle(Solved)
An arc of a circle radius 3.5cm is 9.1cm long. Find the angle it substends at the centre of the circle
Date posted: September 19, 2019. Answers (1)