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- Given that log (3x – 7) = 3 log 5. Calculate x.(Solved)
Given that log (3x – 7) = 3 log 5. Calculate x.
Date posted: August 30, 2019. Answers (1)
- Determine the constant term in the expansion of(Solved)
Determine the constant term in the expansion of
Date posted: August 30, 2019. Answers (1)
- In a dark room, there are 2 pairs of blue stockings and 3 pairs of yellow stockings. If John walks into the room and picks...(Solved)
In a dark room, there are 2 pairs of blue stockings and 3 pairs of yellow stockings. If John walks into the room and picks two pair of socks, one at a time, what is the probability that picks socks of different colors?
Date posted: August 30, 2019. Answers (1)
- Calculate the volume of a liquid weighing 0.9kg/litre which must be mixed with another liquid weighing 0.77 kg/litre which must be mixed with another liquid...(Solved)
Calculate the volume of a liquid weighing 0.9kg/litre which must be mixed with another liquid weighing 0.77 kg/litre which must be mixed with another liquid weighing 0.75 kg/litre to produce a blend weighing 0.8kg/litre
Date posted: August 30, 2019. Answers (1)
- Factorize and simplify(Solved)
Factorize and simplify
4x2 + 6xy + 4xz + 6yz
Date posted: August 30, 2019. Answers (1)
- Use mathematical tables to evaluate(Solved)
Use mathematical tables to evaluate
Date posted: August 30, 2019. Answers (1)
- Expand the expression below to the term in x3 and use the expansion estimate the value of the expression given below it correct to 2...(Solved)
Expand the expression below to the term in x3 and use the expansion estimate the value of the expression given below it correct to 2 decimal places.
estimate the value of
Date posted: August 29, 2019. Answers (1)
- Given that P = QXn make n the subject of the formula and simplify your answer.(Solved)
Given that P = QXⁿ make n the subject of the formula and simplify your answer.
Date posted: August 29, 2019. Answers (1)
- Differentiate with respect to x(Solved)
Differentiate with respect to x
Date posted: August 29, 2019. Answers (1)
- Two grades of coffee one costing sh.42 per kilogram and the other costing sh.47 per kilogram are to be mixed in order to produce a...(Solved)
Two grades of coffee one costing sh.42 per kilogram and the other costing sh.47 per kilogram are to be mixed in order to produce a blend worth sh.46 per kilogram in what proportion should they be mixed.
Date posted: August 29, 2019. Answers (1)
- In the figure below, EAF and EDG are tangents to the circle. AB is parallel to DC, angle FAB = 46° and angle AED =...(Solved)
In the figure below, EAF and EDG are tangents to the circle. AB is parallel to DC, angle FAB = 46° and angle AED = 110°.
Find the values of angles P and q.
Date posted: August 29, 2019. Answers (1)
- A map has a scale of 1 : 2500 and on it is square plot of land which has an area of 4cm². Calculate the...(Solved)
A map has a scale of 1 : 2500 and on it is square plot of land which has an area of 4cm². Calculate the actual area in hectares of the land.
Date posted: August 29, 2019. Answers (1)
- The initial salary of Mr. Lutta is sh. 42,000 per annum. His salary increases by 13% each year. Determine his total earnings after 15 years....(Solved)
The initial salary of Mr. Lutta is sh. 42,000 per annum. His salary increases by 13% each year. Determine his total earnings after 15 years. Give your answer to the nearest thousands.
Date posted: August 29, 2019. Answers (1)
- Solve the equation below.
72x – 8 x 7x + 7 = 0(Solved)
Solve the equation below.
72x – 8 x 7x + 7 = 0
Date posted: August 29, 2019. Answers (1)
- Use logarithms correct to 4 decimal places to evaluate.(Solved)
Use logarithms correct to 4 decimal places to evaluate.
Date posted: August 29, 2019. Answers (1)
- The roof of a classroom is in the shape of a triangle prism as shown below.
Calculate;
(a) The angle between faces RSTU and PQRS
(b) The...(Solved)
The roof of a classroom is in the shape of a triangle prism as shown below.
Calculate;
(a) The angle between faces RSTU and PQRS
(b) The space occupied by the roof
(c) The angle between plane QTR and PQRS
Date posted: August 29, 2019. Answers (1)
- A transporter wishes to transfer 1000 bags of sugar to a go down. He has two types of lorries to use. FTR with a capacity...(Solved)
A transporter wishes to transfer 1000 bags of sugar to a go down. He has two types of lorries to use. FTR with a capacity of 80 bags and a canter with the capacity of 20 bags. The canter has to make at most twice as many trips as the FTR makes. The total number of trips made by both lorries must be less than 30, and the canter has to make more than 10 trips.
(a) Write down all the possible inequalities to represent this information (take trips made by FTR be x and trips made by canter be y)
(b) Represent the information above on the grid provided
(c) If FTR uses Ksh.1800 worth of fuel per trip, while canter uses Ksh.1000 on fuel per trip Estimate the maximum amount that can be spent on fueling the lorries.
Date posted: August 29, 2019. Answers (1)
- The velocity of a particle t seconds after passing a fixed point is given by v = 2t2 – 13t + k where k is...(Solved)
The velocity of a particle t seconds after passing a fixed point is given by v = 2t2 – 13t + k where k is a constant. The particle has a maximum displacement of 13m from the fixed point when t = ½ seconds.
(a) Calculate the value of k
(b) Find the equation of the displacement of the particle i.e from the fixed point after t seconds
(c) Calculate the distance moved by the particle during the fourth second
Date posted: August 29, 2019. Answers (1)
- Mr. Karambu is a civil servant in a ministry. He earns a monthly salary of sh.N and allowance of sh.1271.all taxable. He is entitled to...(Solved)
Mr. Karambu is a civil servant in a ministry. He earns a monthly salary of sh.N and allowance of sh.1271.all taxable. He is entitled to a monthly relief of sh.1056. The table below shows the rates of taxation.
When his salary was increased by 50% the net tax increased by 66.25 % to sh.9036 per month.
(a) What was his net tax in K£ p.a before the salary increase
(b) Calculate his salary before the increase
(c) Calculate the percentage increase in his net pay after the salary increase
Date posted: August 29, 2019. Answers (1)
- Obtain the expansion of (1 + 3x)6 up to the term with x4, hence estimate (1.03)6 correct to 4 decimal places.(Solved)
Obtain the expansion of (1 + 3x)6 up to the term with x4, hence estimate (1.03)6 correct to 4 decimal places.
Date posted: August 29, 2019. Answers (1)