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- A particle moves along a straight line such that its displacement S metres from a given point is(Solved)
A particle moves along a straight line such that its displacement S metres from a given point is
S = t3 – 5t2 + 3t + 4 where t is time in seconds.
Find:
(a) The displacement of the particle at t = 5
(b) The velocity of the particle when t = 5
(c) The values of t when the particle is momentarily at rest.
(d) The acceleration of the particle when t = 2.
Date posted: August 19, 2019. Answers (1)
- The frequency distribution table below shows lengths in cm for 41 pieces(Solved)
The frequency distribution table below shows lengths in cm for 41 pieces
Calculate the:
(a) Mean.
(b) Median
(c) Standard deviation
Date posted: August 19, 2019. Answers (1)
- Mr. Omwega is employed. His basic salary is Kshs. 21, 750 and is entitled(Solved)
Mr. Omwega is employed. His basic salary is Kshs. 21, 750 and is entitled to a house allowance of
Kshs 15, 000 and a travelling allowance of Kshs 8, 000 per month. He also claims a family monthly relief of Kshs 1, 056 per month. Other deductions are; Union dues Kshs 200 and Co-operative shares Kshs 4, 500 per month.
The table below shows the tax rates for the year.
Calculate;
(a) Mr. Omwega’s annual taxable income.
(b) The tax paid by Mr. Omwega in the year.
(c) Mr. Omwega’s net income per month
Date posted: August 19, 2019. Answers (1)
- A fritter bought 144 pineapples atsh100 for every six pineapples. She sold them of at sh72 for every three and rest at sh60 for every...(Solved)
A fritter bought 144 pineapples atsh100 for every six pineapples. She sold them of at sh72 for every three and rest at sh60 for every two.if she made 65% profit. Calculate the number of pineapples sold at sh72 for every three.
Date posted: August 18, 2019. Answers (1)
- Triangle ABC has co-ordinates A(2,7) B (2,2) and C (7,-2) .The triangle is reflected in the y-axis followed by a reflection in the line x=2,...(Solved)
Triangle ABC has co-ordinates A(2,7) B (2,2) and C (7,-2) .The triangle is reflected in the y-axis followed by a reflection in the line x=2, without drawing determine the co-ordinates of the final image
Date posted: August 16, 2019. Answers (1)
- A madline is valued at Ksh. 100,000. If the rate of depreciation is 0.9% per month .Calculate the time it takes for the value to...(Solved)
A madline is valued at Ksh. 100,000. If the rate of depreciation is 0.9% per month .Calculate the time it takes for the value to drop to Ksh .50, 000.
Date posted: August 16, 2019. Answers (1)
- Mary is four times as old as her last born John. In seven years time, the sum of their ages will be 59 years. Determine...(Solved)
Mary is four times as old as her last born John. In seven years time, the sum of their ages will be 59 years. Determine their ages three years ago.
Date posted: August 16, 2019. Answers (1)
- In the figure below ABX is a tangent to the circle at B . Angle CAB = 17o and < ACB = 36o.Calculate < CBX.
(Solved)
In the figure below ABX is a tangent to the circle at B . Angle CAB = 17o and < ACB = 36o.Calculate < CBX.
Date posted: August 16, 2019. Answers (1)
- Find the value of x in the following equation
25x-1 + 52x = 130(Solved)
Find the value of x in the following equation
25x-1 + 52x = 130
Date posted: August 16, 2019. Answers (1)
- Solve the inequality -3x + 2(Solved)
Solve the inequality -3x + 2
Date posted: August 16, 2019. Answers (1)
- The gradient of a line L through points A (2x, 4) and B (-1, X) is 1/7.Find the equation of a line perpendicular to L...(Solved)
The gradient of a line L through points A (2x, 4) and B (-1, X) is 1/7.Find the equation of a line perpendicular to L through B
Date posted: August 16, 2019. Answers (1)
- Without using a calculator , evaluate.(Solved)
Without using a calculator , evaluate.
Date posted: August 16, 2019. Answers (1)
- A particle travels in a straight line through a fixed point O such that its displacement S metres, from O is given by S =...(Solved)
A particle travels in a straight line through a fixed point O such that its displacement S metres, from O is given by S = 3t3 – 27t2 + 72t + 4 where t is the time in seconds after passing O.
Calculate;
a) The displacement of the particle at t = 3.
b) The value of t for which the particle is momentarily at rest.
c) The acceleration when t = 4.
d) At what time is its minimum velocity?
Date posted: August 16, 2019. Answers (1)
- A garden measures 10m long and 8m wide. A path of uniform width is made all round the garden. The total area of the garden...(Solved)
A garden measures 10m long and 8m wide. A path of uniform width is made all round the garden. The total area of the garden and the path is 168m2.
a) Find the width of the path.
b) The path is to be covered with square concrete slabs. Each corner of the path is covered with a slab whose side is equal to the width of the path.The rest of the path is covered with slabs of side 50cm. The cost of making each corner slab is Shs.600 while the cost of making each smaller slab is shs.50.
Calculate;
i) The number of the smaller slabs used.
ii) The total cost of the slabs used to cover the whole path.
Date posted: August 16, 2019. Answers (1)
- In the figure below K, L, M and N are points on the circumference of a circle centre O. The points K,O, M and P...(Solved)
In the figure below K, L, M and N are points on the circumference of a circle centre O. The points K, O, M and P are on a straight line. PN is a tangent to the circle at N. Angle KOL = 1300 and Angle MKN = 400.
Find the values of the following angles stating the reasons in each case.
a)MLN
b)OLN
c)LNP
d)MPN
e)LMP
Date posted: August 16, 2019. Answers (1)
- A businessman buys beans directly from farmers in 90kg bags at Kshs.2,000 per bag and spends Kshs.100 per bag on transport and other overhead costs....(Solved)
A businessman buys beans directly from farmers in 90kg bags at Kshs.2,000 per bag and spends Kshs.100 per bag on transport and other overhead costs. He sells the beans in tins at Kshs.60 making a profit of Kshs.500 per bag.
a) How many tins are there in a bag?
b) In a given season, he sold 1,000 bags. How much did he get?
c) The farmer has two options of selling his beans.
i) To the food processing company at Kshs.2,000 per bag and sells 50 bags.
ii) To retailers at Kshs.60 per tin and sells 30 bags.
Which option would earn her more profit and by how much.
Date posted: August 16, 2019. Answers (1)
- Four towns R, T, K and G are such that T is 84km directly to the North of R, and K is on a bearing...(Solved)
Four towns R, T, K and G are such that T is 84km directly to the North of R, and K is on a bearing of 2950 from R at a distance of 60km. G is on a bearing of 3400 from K and a distance of 30km.
a) Using a scale of 1cm represents 10km, make an accurate scale drawing to show the relative positions of the towns.
b) Using the diagram above find;
i) The distance and bearing of T from G.
ii) The distance and bearing of K from T.
Date posted: August 16, 2019. Answers (1)
- The angles of elevation of the top of a tree form a point x on horizontal ground is 24.50. Rhoda moves 5 metres from x...(Solved)
The angles of elevation of the top of a tree form a point x on horizontal ground is 24.50. Rhoda moves 5 metres from x towards the base of the tree and observes that the angle of elevation of the tree is now 33.20. Calculate the height of the tree to one decimal place.
Date posted: August 16, 2019. Answers (1)
- Given that OA = 3i – 2j + k and OB = 4i + j – 3k. Find the distance between points A and B.(Solved)
Given that OA = 3i – 2j + k and OB = 4i + j – 3k. Find the distance between points A and B.
Date posted: August 16, 2019. Answers (1)
- Find the integral values of x which satisfy the inequalities.(Solved)
Find the integral values of x which satisfy the inequalities.
Date posted: August 16, 2019. Answers (1)