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- The position vectors of A and B are given as a = 2i - 3j + 4k and b = -2i - j + 2k. Find to 2 decimal places the length of the vector AB
The position vectors of A and B are given as a = 2i - 3j + 4k and b = -2i - j + 2k. Find to 2 decimal places the length of the vector AB
Date posted: March 1, 2019
- Given that log 3= 1.583 and log 5 = 2.322 evaluate without using table or calculator log 75.
Given that log 3= 1.583 and log 5 = 2.322 evaluate without using table or calculator log 75.
Date posted: March 1, 2019
- The distance s metres moved by a particle along a straight line after t seconds in motion is given by
s = 7 +8t2 – 2t3. Find the velocity at t = 2 sec.
The distance s metres moved by a particle along a straight line after t seconds in motion is given by
s = 7 +8t2 – 2t3. Find the velocity at t = 2 sec.
Date posted: March 1, 2019
- Kamau withdrew some money from the bank.
Date posted: March 1, 2019
- Given that the first term of an arithmetic progression (A.P) is 2 and the sum of the first 8 terms is
156,find the common difference of the A.P.
Given that the first term of an arithmetic progression (A.P) is 2 and the sum of the first 8 terms is
156,find the common difference of the A.P.
Date posted: March 1, 2019
- Kirui bought a suit for sh 1200 and marked it at a price such that after allowing his customer a 10%
discount, he would make a profit of 20%. Calculate the marked price of the suit.
Kirui bought a suit for sh 1200 and marked it at a price such that after allowing his customer a 10%
discount, he would make a profit of 20%. Calculate the marked price of the suit.
Date posted: March 1, 2019
- Thirty men working at the rate of 10 hours a day can complete a job in 14 days. Find how long it would
take 40 men working at the rate of 7 hours a day to complete the same job.
Thirty men working at the rate of 10 hours a day can complete a job in 14 days. Find how long it would
take 40 men working at the rate of 7 hours a day to complete the same job.
Date posted: March 1, 2019
- The surface area of two similar bottles is 12cm2 and 108cm2 respectively. If the larger one has a volume of 810cm3. Find the volume of the smaller one.
The surface area of two similar bottles is 12cm2 and 108cm2 respectively. If the larger one has a volume of 810cm3. Find the volume of the smaller one.
Date posted: March 1, 2019
- The size of an interior angle of a regular polygon is 3x while its exterior is (x +20) Find the number
of triangles that makes the polygon.
The size of an interior angle of a regular polygon is 3x while its exterior is (x +20) Find the number
of triangles that makes the polygon.
Date posted: March 1, 2019
- A fixed mass of a gas has a volume of 250cm3 at a temperature 27°C and 750mmHg pressure.
Calculate the volume the gas would occupy at 42°C and 750mmHg pressure. (0°C = 273K)
A fixed mass of a gas has a volume of 250cm3 at a temperature 27°C and 750mmHg pressure.
Calculate the volume the gas would occupy at 42°C and 750mmHg pressure. (0°C = 273K)
Date posted: March 4, 2019
- The table below shows the relative atomic masses and the percentage abundance of the isotopes L1 and L2 of element L.
The table below shows the relative atomic masses and the percentage abundance of the isotopes L1 and L2 of element L.
Calculate the relative atomic mass of element L
Date posted: March 4, 2019
- In an experiment to determine the solubility of solid Y in water at 300C the following results
were obtained.
In an experiment to determine the solubility of solid Y in water at 300C the following results
were obtained.
Mass of empty evaporating dish = 26.2g
Mass of evaporating dish + saturated solution = 42.4g
Mass of evaporating dish + dry solid = 30.4g
Use the data to calculate the solubility of Y at 300C per 100g water.
Date posted: March 4, 2019
- Fertilizers are added to the soil to improve crop yields. A farmer has a choice of two fertilizers,
ammonium nitrate NH4NO3 or diammonium hydrogen phosphate (NH4)2HPO4)
Fertilizers are added to the soil to improve crop yields. A farmer has a choice of two fertilizers,
ammonium nitrate NH4NO3 or diammonium hydrogen phosphate (NH4)2HPO4.Show by calculation which of these fertilizers contains the greater percentage of nitrogen by mass (N=14, H=1, O=16,P=31)
Date posted: March 4, 2019
- 10g of ethanol (C2 H5OH) were completely burnt in air. The heat evolved caused the temperature of 400cm3 of water to change from 200C to 850C.
10g of ethanol (C2 H5OH) were completely burnt in air. The heat evolved caused the temperature of 400cm3 of water to change from 200C to 850C. Calculate the molar enthalpy of combustion of ethanol.
(H = 1, C = 12, O = 16. Specific heat capacity of water = 4.2 J/kg/k)
Date posted: March 4, 2019
- 120cm3 of nitrogen gas diffuses through a membrane in forty seconds. How long will it take 240cm3 of carbon (IV) oxide to diffuse through the same membrane (C=12,N=14,O=16)
120cm3 of nitrogen gas diffuses through a membrane in forty seconds. How long will it take 240cm3 of carbon (IV) oxide to diffuse through the same membrane (C=12,N=14,O=16)
Date posted: March 5, 2019
- 100cm³ of 2M nitric acid reacted with 12.5g of a carbonate of metal M. (MCO3) according to the
following equation
100cm³ of 2M nitric acid reacted with 12.5g of a carbonate of metal M. (MCO3) according to the
following equation
a).Calculate the number of moles of MCO3 that reacted with nitric acid.
b).Calculate the relative molecular mass of MCO3.
Date posted: March 5, 2019
- Complete the table below to show the number of the sub-atomic particles of the given nuclides. X and Y are not actual chemical symbols.
Complete the table below to show the number of the sub-atomic particles of the given nuclides. X and Y are not actual chemical symbols.
Date posted: March 5, 2019
- An organic compound J has the following percentage by mass, carbon, 64.86%, hydrogen, 13.51% and
the rest oxygen. The relative molecular mass of the compound is 74.
An organic compound J has the following percentage by mass, carbon, 64.86%, hydrogen, 13.51% and
the rest oxygen. The relative molecular mass of the compound is 74. Work out the molecular formula of
compound J. [C=12. H=1 O=16]
Date posted: March 5, 2019
- Use the information in the table about group 1 elements to answer the questions that follow
Use the information in the table about group 1 elements to answer the questions that follow
When the group 1 elements react with water, hydrogen gas is given off. The diagram shows the reaction
of the above three elements with water
a) What is the general name of the group one elements
b) Which one of these elements A, B or C is Lithium
Date posted: March 5, 2019
- A rectangle whose area is 96m2 is such that its length is 4m longer than its width.
A rectangle whose area is 96m2 is such that its length is 4m longer than its width. Find
a) Its dimensions.
b) Its perimeter.
Date posted: March 5, 2019