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A manufacturer discovers that a mixture of juice brand A which costs Kshs. 30 per litre and juice brand B which costs Kshs. 45 per...
(Solved)
A manufacturer discovers that a mixture of juice brand A which costs Kshs. 30 per litre and juice brand B which costs Kshs. 45 per litre would cost Kshs. 40 per litre of the same mixture.
a)How much of each would be required to produce one litre of each mixture.
b)If the cost of production of juice brand A is shs. 27 per litre and juice brand B which costs shs. 42 per litre. What price must the manufacturer sell the mixture to make a profit of 20% per litre?
c)If the cost of production decreases by 10% for juice brand B, what price must the manufacturer sell to retain the same profit margin?
Date posted:
September 17, 2019
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Answers (1)
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The diagram below shows a sketch of the line y = 16 – x2 and y = x2 – 4x intersecting at point A and...
(Solved)
The diagram below shows a sketch of the line y = 16 – x2 and y = x2 – 4x intersecting at point A and B.
a)Find the coordinates of A and B.
b)Calculate the area bounded by the curve y = 16 – x2 the y-axis and the x-axis.
c)Calculate the area of the shaded region that lies below the x – axis.
d)Calculate the area of the region enclosed by the curves y = 16 – x2, y = x2 – 4x and the y – axis.
Date posted:
September 17, 2019
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Answers (1)
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Towns P(360N, 490E) and town Q(360N, 1310W) are on the earth surface.
a)Find the difference between P and Q along the parallel of latitude...
(Solved)
Towns P(360N, 490E) and town Q(360N, 1310W) are on the earth surface.
a)Find the difference between P and Q along the parallel of latitude given that the radius of the earth is 6370km. (Give your answer to the nearest km.)
b)Another town R, is 840km East of town Q and on the same latitude, find the position of R.
c)If the local time at town Q is 12:30am on Monday, what is the local time of town R?
Date posted:
September 17, 2019
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Answers (1)
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The table below shows the values of x and y for the curve represented by;
(Solved)
The table below shows the values of x and y for the curve represented by;
Date posted:
September 17, 2019
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Answers (1)
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A mixed school can accommodate a maximum of 440 students. The number of girls must be at least 120 while the number of boys must...
(Solved)
A mixed school can accommodate a maximum of 440 students. The number of girls must be at least 120 while the number of boys must exceed 150.
Taking x to represent the number of boys and y the number of girls, write down all the inequalities representing the information above.
Date posted:
September 16, 2019
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Answers (1)
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The points with coordinates (5,5) and (-3, -1) are the ends of a diameter of a circle centre A. Determine;
a)The coordinates of A.
b)The equation of...
(Solved)
The points with coordinates (5,5) and (-3, -1) are the ends of a diameter of a circle centre A. Determine;
a)The coordinates of A.
b)The equation of a circle, expressing it inform of x2 + y2 + ax + by + c = 0 where a, b and c are constants
Date posted:
September 16, 2019
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Answers (1)
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Using trapezoidal rule of 5 strips determine the area under the curve y=3x2 – 20 between the line x=1 and x=6.
(Solved)
Using trapezoidal rule of 5 strips determine the area under the curve y=3x2 – 20 between the line x=1 and x=6.
Date posted:
September 16, 2019
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Answers (1)
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A farmer bought a tractor at Kshs.210,000 and sold at Kshs.52,500, after using it for five years. Calculate the annual rate of depreciation of the...
(Solved)
A farmer bought a tractor at Kshs.210,000 and sold at Kshs.52,500, after using it for five years. Calculate the annual rate of depreciation of the tractor.
Date posted:
September 16, 2019
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Answers (1)
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Two chords PQ and RS of a circle meet a point X outside the circle. If PX = 6cm, QX = 3.5 cm and
XS...
(Solved)
Two chords PQ and RS of a circle meet a point X outside the circle. If PX = 6cm, QX = 3.5 cm and
XS = 3 cm, find the length of the chord RS.
Date posted:
September 16, 2019
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Answers (1)
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Triangle ABC is the image of triangle XYZ when transformed under the matrix . If the area of triangle ABC is 770cm2, find the...
(Solved)
Triangle ABC is the image of triangle XYZ when transformed under the matrix 
. If the area of triangle ABC is 770cm2, find the area of triangle XYZ.
Date posted:
September 16, 2019
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Answers (1)
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The probability that Christine qualifies for a job as a marketing manager depends on whether she passes or fails in mathematics. The probability that she...
(Solved)
The probability that Christine qualifies for a job as a marketing manager depends on whether she passes or fails in mathematics. The probability that she fails in mathematics is ⅓. If she passes the probability that she qualifies for the job is ¾. If she fail there is a probability of 1/6 that she qualifies for the job. What is the probability that she qualifies for the job.
Date posted:
September 16, 2019
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Answers (1)
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Solve the equation
(Solved)
Solve the equation
Date posted:
September 16, 2019
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Answers (1)
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The length and the breadth of a rectangular floor were measured and found to be 4.1m and 2.2m respectively. If a possible error of 0.01m...
(Solved)
The length and the breadth of a rectangular floor were measured and found to be 4.1m and 2.2m respectively. If a possible error of 0.01m was made in each measurement. Calculate the percentage error in the area of the floor.
Date posted:
September 16, 2019
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Answers (1)
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Make y the subject of the formula.
(Solved)
Make y the subject of the formula.
Date posted:
September 16, 2019
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Answers (1)
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Use logarithms, correct to 4 decimal places to evaluate
(Solved)
Use logarithms, correct to 4 decimal places to evaluate
Date posted:
September 16, 2019
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Answers (1)
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The figure below shows cuboids ABCDEFGH. Given that AB=12 cm, BC= 8 cm and BF=4 cm.
(a)State the projection of AG on the plane EFGH.
(b)Determine the...
(Solved)
The figure below shows cuboids ABCDEFGH. Given that AB=12 cm, BC= 8 cm and BF=4 cm.
(a)State the projection of AG on the plane EFGH.
(b)Determine the angle between the line AG and the Plane EFGH.
(c)Given that L! M and N are the mid points DC, FG and AB respectively, determine the angle between the planes ADM and NLM.
(d)Find the angle between the skew lines AG and BC.
Date posted:
September 16, 2019
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Answers (1)
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Two variables A and B are believed to be related by a law of the form A=mnB + 1.1 where m andn are constants. The...
(Solved)
Two variables A and B are believed to be related by a law of the form A=mnB + 1.1 where m and n are constants. The table below shows corresponding values of A and B as obtained from an experiment.
By drawing a suitable straight line graph estimate the values of m and n.
Date posted:
September 16, 2019
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Answers (1)
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(a)Bag A contains 4 red balls and 5 white balls while bag B contains 6 red balls and 4 white ones.
(i)A bag is picked at...
(Solved)
(a)Bag A contains 4 red balls and 5 white balls while bag B contains 6 red balls and 4 white ones.
(i)A bag is picked at random and a ball is picked, find the probability that the ball is
white.
(ii)A ball is removed from A and placed in bag B. Two balls are then picked from B at random one at a time without replacement; find the probability that the two balls are of the same colour.
(b)Three boys and three girls sit in a row of six seats. Find the probability that:-
(i)Three girls sit together.
(ii)The girls and boys sit in alternative seats.
Date posted:
September 16, 2019
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Answers (1)
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A1B1C1D1 is the image of ABCD under a shear parallel to x – axis D(2,4) is mapped onto D1(1,4) while A(-1,1) is mapped onto A1(1,1)....
(Solved)
A1B1C1D1 is the image of ABCD under a shear parallel to x – axis D(2,4) is mapped onto D1(1,4) while A(-1,1) is mapped onto A1(1,1). If the co – ordinates of A,B,C and D are (-1,1), (0,1), (3,4) and (2,4) respectively:-
(a)Draw ABCD and A1 B1C1 and D1 under the shear on the grid provided and state
Co-ordinates of B1 and C1.
(b)State the invariant line.
(c)A1 B1C1 and D1 undergoes a stretch parallel to y – axis with scale factor -2 and invariant line y =3. On the same grid, draw A//B//C//D// the image of A1 B1C1 D1 under the stretch
(d)Describe completely the transformation that maps A//B//C//D// onto ABCD.
Date posted:
September 16, 2019
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Answers (1)
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Use a ruler and compass ONLY for all constructions in this question.
(a)Construct a triangle ABC in which AB=6 cm, BC= 7 cm and angle ABC...
(Solved)
Use a ruler and compass ONLY for all constructions in this question.
(a)Construct a triangle ABC in which AB=6 cm, BC= 7 cm and angle ABC = 750.
(b)Measure
(i)the length of AC
(ii)the angle ACB
(c)(i)Construct the locus of p such that BP = PC
(ii)Construct the locus of Q such that Q is on the opposite side of BC as A and angle
BCQ = 300.
(d)(i)the locus of P and Q meet at X, mark X .
(ii)Construct the locus of R in which angle BRC = 1200.
Date posted:
September 16, 2019
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Answers (1)