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Given that OA = 3i + 2j - 4k and OB = 4i -2k and P divides AB externally in the ratio 3:2. Determine...
(Solved)
Given that OA = 3i + 2j - 4k and OB = 4i -2k and P divides AB externally in the ratio 3:2. Determine the coordinates of P.
Date posted:
September 16, 2019
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Answers (1)
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A hot water tap fills a bath tab in 4 minutes, cold water tap fills the same bath tub in 8 minutes while a drainage...
(Solved)
A hot water tap fills a bath tab in 4 minutes, cold water tap fills the same bath tub in 8 minutes while a drainage tap empties the bath tub in 2 minutes. If initially the bath tub is full and the three taps are opened at the same time. Find how long it takes to empty the bath tub.
Date posted:
September 16, 2019
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Answers (1)
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The coordinates of the end points of the diameter of a circle are A(2,4)and B(-2,6). Find the equation of a circle in the form ...
(Solved)
The coordinates of the end points of the diameter of a circle are A(2,4)and B(-2,6). Find the equation of a circle in the form
ax2 + by2 + cx + dy + e = 0
Date posted:
September 16, 2019
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Answers (1)
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The cost of producing a commodity consists of transport, labour and raw materials in the ratio 8:4:12 respectively. If the transport cost increases by 12%,...
(Solved)
The cost of producing a commodity consists of transport, labour and raw materials in the ratio 8:4:12 respectively. If the transport cost increases by 12%, labour cost by 18% and materials by 40%. Find the percentage increase of producing the new commodity.
Date posted:
September 16, 2019
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Answers (1)
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Write down the inequalities that define the region IR.
(Solved)
Write down the inequalities that define the region IR.

Date posted:
September 16, 2019
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Answers (1)
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A triangle ABC is transformed by the matrix
to give a straight line. Find the acute angle x in the matrix.
(Solved)
A triangle ABC is transformed by the matrix

to give a straight line. Find the acute angle x in the matrix.
Date posted:
September 16, 2019
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Answers (1)
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Use completing squares method to solve for X
3x2 +18x + 15 = 0
(Solved)
Use completing squares method to solve for X
3x2 +18x + 15 = 0
Date posted:
September 16, 2019
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Answers (1)
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Use logarithm tables to evaluate.
(Solved)
Use logarithm tables to evaluate.

Date posted:
September 16, 2019
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Answers (1)
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Mr.Mutuku earns sh.15,500 p.m .He is housed by his employer and pay a rent of sh.1200 per month for taxation purposes his taxable income is...
(Solved)
Mr.Mutuku earns sh.15,500 p.m .He is housed by his employer and pay a rent of sh.1200 per month for taxation purposes his taxable income is raised by 155.If he gets tax relief of sh.720 per month calculate his P.A.Y.E
Date posted:
September 16, 2019
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Answers (1)
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Claire earns sh.15,900 p.m and gets a tax relief of sh.7,200 p.a.How much should she pay as income tax p.m if taxation rates are as...
(Solved)
Claire earns sh.15,900 p.m and gets a tax relief of sh.7,200 p.a.How much should she pay as income tax p.m if taxation rates are as shown below.

Date posted:
September 16, 2019
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Answers (1)
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The probability that a pupil goes to school by a boda-boda is 2/3 and by a matatu is ¼ .If he uses a boda-boda...
(Solved)
The probability that a pupil goes to school by a boda-boda is 2/3 and by a matatu is ¼ .If he uses a boda-boda the probability that he is late to school is 2/5 and if he uses a matatu the probability of being late is 3/10 . If he use other means of transport the probability of being late is 3/20 .
(a) Draw a tree diagram to represent this information.
(b) Find the probability that he will be late for school.
(c) Find the probability that he will be late for school if he does not use a matatu.
(d) What is the probability that he will not be late to school
Date posted:
September 16, 2019
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Answers (1)
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A cattle dip is 150cm wide and 12m long. The depth of the water increases uniformly from a shallow end of 60cm to a maximum...
(Solved)
A cattle dip is 150cm wide and 12m long. The depth of the water increases uniformly from a shallow end of 60cm to a maximum of 6m.
(a)Find the volume of water that can be held by the full dip in litres
(b)If the dip is drained by a pipe of radius 15cm at the rate of 6m/l, how long will it take to drain a full dip?
Date posted:
September 16, 2019
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Answers (1)
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An equilateral triangle of sides 9cm is completely enclosed in a circle of radius rcm.Find the least value of r.
(Solved)
An equilateral triangle of sides 9cm is completely enclosed in a circle of radius rcm.Find the least value of r.
Date posted:
September 16, 2019
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Answers (1)
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A variable u is partly constant and partly as the square of t. When t=2,u=0 and when t=1,u=3.Find
(a) the law connecting u and t.
(b) the value of...
(Solved)
A variable u is partly constant and partly as the square of t. When t=2,u=0 and when t=1,u=3.Find
(a) the law connecting u and t.
(b) the value of u when t= 1/4
Date posted:
September 16, 2019
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Answers (1)
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In the fig.ABCDGH is a rectangular based wedge with AD=6cm and CD=15cm.The midpoint of AD is N and DG =GA=BH=HC =9cm.If GH =7cm, calculate the...
(Solved)
In the fig.ABCDGH is a rectangular based wedge with AD=6cm and CD=15cm.The midpoint of AD is N and DG =GA=BH=HC =9cm.If GH =7cm, calculate the angle between planes ADG and the base ABCD.

Date posted:
September 16, 2019
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Answers (1)
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The position vector of A and B are a=4i+4j-6k and b =10i+4j+12k.D is a point on AB such that AD:DB is 2:1.Find the co-ordinates...
(Solved)
The position vector of A and B are a=4i+4j-6k and b =10i+4j+12k.D is a point on AB such that AD:DB is 2:1.
Find the co-ordinates of D.
Date posted:
September 16, 2019
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Answers (1)
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Find the equation of the locus of all points equidistant from P and Q where P(6,9) and Q(0,-5)
(Solved)
Find the equation of the locus of all points equidistant from P and Q where P(6,9) and Q(0,-5)
Date posted:
September 16, 2019
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Answers (1)
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Find the percentage error in calculating the volume of a sphere radius 4.9cm.
(Solved)
Find the percentage error in calculating the volume of a sphere radius 4.9cm.
Date posted:
September 16, 2019
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Answers (1)
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Find the equation of the normal to the curve y=2x2+3x+4 at x=2
(Solved)
Find the equation of the normal to the curve y=2x2+3x+4 at x=2
Date posted:
September 16, 2019
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Answers (1)
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Expand up to the fifth term
Hence use your expansion to evaluate (2.5)5 to 3dp
(Solved)
Expand
up to the fifth term
Hence use your expansion to evaluate (2.5)5 to 3dp
Date posted:
September 16, 2019
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Answers (1)