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- Expand ( 1 + 3x)7 up to x3, hence use the expansion to estimate the value of (1.3)7 correct to three decimal places.(Solved)
Expand ( 1 + 3x)7 up to x3, hence use the expansion to estimate the value of (1.3)7 correct to three decimal places.
Date posted: August 28, 2019. Answers (1)
- Two bags M and N are on a desk. Bag M contains 6 red pens and 4 black pens; bag N contains 2 red pens...(Solved)
Two bags M and N are on a desk. Bag M contains 6 red pens and 4 black pens; bag N contains 2 red pens and 8 black pens. A bag is chosen at random and two pens drawn from it, one at a time without replacement. Find the probability of picking two pens of the same colour.
Date posted: August 28, 2019. Answers (1)
- Make ?? the subject of the formula(Solved)
Make 𝐻 the subject of the formula
Date posted: August 28, 2019. Answers (1)
- By rationalizing the denominator, evaluate the following surds(Solved)
By rationalizing the denominator, evaluate the following surds
Date posted: August 28, 2019. Answers (1)
- Use logarithms table to evaluate.(Solved)
Use logarithms table to evaluate.
Date posted: August 28, 2019. Answers (1)
- A particle moving in a straight line passes a fixed point O on the line with velocity 7m/s (Solved)
A particle moving in a straight line passes a fixed point O on the line with velocity 7m/s. The acceleration 9m/s2 of a particle t seconds after passing O is given by the equation a = 4 – 6t. Calculate:
(a) The velocity of particle 2 seconds after passing O.
(b) The time taken to reach the maximum distance from O in the direction of the initial motion.
(c) The value of the maximum distance.
Date posted: August 28, 2019. Answers (1)
- Three warships X, Y and Z are at the ocean such that ship Y is 500km on a bearing of 0300 FROM SHIP x....(Solved)
Three warships X, Y and Z are at the ocean such that ship Y is 500km on a bearing of 0300 FROM SHIP x. Ship Z is 750km from ship Y and on a bearing of 1400 from X. An enemy ship S is sighted 900km due East of ship Y. Calculate:
(a) The bearing of Z from Y.
(b) The distance of X from Z.
(c) The distance S from Z.
(d) The shortest distance from X to the direct route between Y and Z.
Date posted: August 28, 2019. Answers (1)
- The length of two shorter sides of a right angled triangle are (x+1)cm and (3x- 2)cm. While the length of the hypotenuse is (2x+1)cm. Form...(Solved)
The length of two shorter sides of a right angled triangle are (x+1)cm and (3x- 2)cm. While the length of the hypotenuse is (2x+1)cm. Form a quadratic equation that can be used to solve for x in the triangle.
Date posted: August 28, 2019. Answers (1)
- The table below shows the analysis of examination marks scored by 160 candidates.
(a) Draw a cumulative frequency curve for the data.
(b) State the modal...(Solved)
The table below shows the analysis of examination marks scored by 160 candidates.
(a) Draw a cumulative frequency curve for the data.
(b) State the modal class.
(c) Use the graph to estimate:
(i) The quartile deviation.
(ii) How many candidates passed if a mark of 35% and above was a pass?
Date posted: August 28, 2019. Answers (1)
- Nelly drew a square ABCD of sides 5cm accurately. While refilling her pen, a drop of ink (I) landed inside the square ABCD.Given that IA...(Solved)
Nelly drew a square ABCD of sides 5cm accurately. While refilling her pen, a drop of ink (I) landed inside the square ABCD.Given that IA < 5cm, IA > IC and the area of triangle DCI > 10cm2. Locate by construction the region I.
Date posted: August 28, 2019. Answers (1)
- How much water must be added to 36 litres of a liquid containing 65% alcohol to obtain a liquid containing 45% alcohol?(Solved)
How much water must be added to 36 litres of a liquid containing 65% alcohol to obtain a liquid containing 45% alcohol?
Date posted: August 28, 2019. Answers (1)
- A poultry farmer in Lelmokwo vaccinated 540 of his 720 chicken against a disease. Two months later 5% of the vaccinated and 80% of the...(Solved)
A poultry farmer in Lelmokwo vaccinated 540 of his 720 chicken against a disease. Two months later 5% of the vaccinated and 80% of the unvaccinated chicken contracted the disease. Calculate the probability that the chicken chosen at random contracted the disease.
Date posted: August 28, 2019. Answers (1)
- A solid has a base in the shape of a rhombus whose diagonals AC and BD are 32cm and 24cm respectively. The height CE which...(Solved)
A solid has a base in the shape of a rhombus whose diagonals AC and BD are 32cm and 24cm respectively. The height CE which is perpendicular to AC, BC and DC is 24cm.
Calculate: the angles between the planes EBD and ABCD.
Date posted: August 28, 2019. Answers (1)
- Find the co-ordinates of a point at which the gradient of the curve y = x2 – 3x + 3 is seven.(Solved)
Find the co-ordinates of a point at which the gradient of the curve y = x2 – 3x + 3 is seven.
Date posted: August 28, 2019. Answers (1)
- If a = -i + 3j, b = i + 6j and c = 5i + 12j. Show that the points are collinear.(Solved)
If a = -i + 3j, b = i + 6j and c = 5i + 12j. Show that the points are collinear.
Date posted: August 28, 2019. Answers (1)
- Mr. Bett wants to buy a flat screen TV set on hire purchase. The cash price is sh. 28,000. He can pay the cash Price...(Solved)
Mr. Bett wants to buy a flat screen TV set on hire purchase. The cash price is sh. 28,000. He can pay the cash Price or make a down payment of sh. 8,000 and 15 monthly installments of sh. 2000 each. Calculate the rate of interest charged per month.
Date posted: August 28, 2019. Answers (1)
- The first and the last terms of an arithmetic progression is -5 and 270 respectively.
(a) Find the number of terms; if the common difference is...(Solved)
The first and the last terms of an arithmetic progression is -5 and 270 respectively.
(a) Find the number of terms; if the common difference is 2.75.
(b) How many terms will be able to give the same last term, if the common difference is 5.
Date posted: August 28, 2019. Answers (1)
- Find all the integral values of x which satisfy the inequalities 3(3 – x) < 5x – 9 < 2x + 8(Solved)
Find all the integral values of x which satisfy the inequalities 3(3 – x) < 5x – 9 < 2x + 8
Date posted: August 28, 2019. Answers (1)
- Work out the following:(Solved)
Work out the following:
Date posted: August 28, 2019. Answers (1)
- The velocity of a particle, Vm/s, moving in a straight line after t seconds is given by
V = 3t² - 3t – 6
Find:-
(i) The acceleration...(Solved)
The velocity of a particle, Vm/s, moving in a straight line after t seconds is given by
V = 3t² - 3t – 6
Find:-
(i) The acceleration of the particle after 2 seconds.
(ii) The distance covered by the particle between t = 1 and t = 4 seconds.
(iii) The time when the particle is momentarily at rest.
(iv) The minimum velocity attained by the particle.
Date posted: August 28, 2019. Answers (1)