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Three litres of water (density 1gm/cm3) is added to twelve litres of methanol. (Density 0.8g/cm3). What is the density of the mixture?
(Solved)
Three litres of water (density 1gm/cm3) is added to twelve litres of methanol. (Density 0.8g/cm3). What is the density of the mixture?
Date posted:
May 7, 2019
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Answers (1)
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Construct the image ??1??1??1 of the object PQR below though a rotation of -60 using centre C.
(Solved)
Construct the image π1π1π
1 of the object PQR below though a rotation of -60 using centre C.
Date posted:
May 7, 2019
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Answers (1)
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The figure below shows the sketch of a tea farm. The measurement are in metres.Fill the information given in a field book. Take PQ as...
(Solved)
The figure below shows the sketch of a tea farm. The measurement are in metres.Fill the information given in a field book. Take PQ as the base line, 200m long.
Date posted:
May 7, 2019
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Answers (1)
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A Kenyan bank buys and sells foreign currencies as shown below.
(Solved)
A Kenyan bank buys and sells foreign currencies as shown below.
A tourist arrived in Kenya from Britain with 126,000 UK sterling pounds. He converted the pounds into Kenyan
shillings. While in Kenya he spent 4/5of the money. He changed the balance to US dollars. Calculate to the nearest Dollar,
the amount he received.
Date posted:
May 7, 2019
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Answers (1)
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Mashillingi has 21 coins whose total value is Kshs 72. There are twice as many five shillings coins as there are ten
shillings coins. The rest...
(Solved)
Mashillingi has 21 coins whose total value is Kshs 72. There are twice as many five shillings coins as there are ten
shillings coins. The rest are one shilling coins. Find the number of ten shilling coins that mashillingi has.
Date posted:
May 7, 2019
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Answers (1)
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Two similar containers have masses 256kgs and 128kgs respectively. If the surface of the smaller container has an area of 810 cm2. What is the area of...
(Solved)
Two similar containers have masses 256kgs and 128kgs respectively. If the surface of the smaller container has
an area of 810 cm2. What is the area of the corresponding surface of the large container.
Date posted:
May 7, 2019
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Answers (1)
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Given that log of 7 = 0.8451 and log of 6 = 0.7782. Find log of 25.2
(Solved)
Given that πππ7 = 0.8451 πππ πππ6 = 0.7782. ππππ πππ25.2
Date posted:
May 7, 2019
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Answers (1)
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The equation of a line is -3/5x + 3y = 6 Find
(Solved)
The equation of a line is -3/5x + 3y = 6 Find
a) The gradient of the line
b) The equation of a line passing through the point (1,2) and is perpendicular to the given line
Date posted:
May 7, 2019
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Answers (1)
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Without using mathematical tables or calculators, evaluate.
(Solved)
Without using mathematical tables or calculators, evaluate.
Date posted:
May 7, 2019
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Answers (1)
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The table below shows heights of student in a certain school.
(Solved)
The table below shows heights of student in a certain school.
a) Construct cumulative frequency distribution table. (2 marks)
b) Draw cumulative frequency curve (o-give) for the above data.
c) From the o-give curve
i) Find the percentage of students whose height is below 166cm.
ii) Find the quartile deviation.
Date posted:
May 7, 2019
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Answers (1)
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A triangle has vertices A (1,2), B (7,2) and C (5,4)
(Solved)
A triangle has vertices A (1,2), B (7,2) and C (5,4)
a) Draw ABC on the Cartesian plane.
b) Construct the image triangle π΄1π΅1πΆ1 of triangle ABC under negative quarter turn about the origin.
c) Draw triangle π΄11π΅11πΆ11 the image of triangle π΄1π΅1πΆ1 under reflection in the line y=x. State the coordinates
of π΄11π΅11πΆ11.
d) Find a single matrix of transformation which maps triangle ABC on to triangleπ΄11π΅11πΆ11
e) Describe a single transformation that maps triangle π΄11π΅11πΆ11 on triangle ABC.
Date posted:
May 7, 2019
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Answers (1)
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The probability that three dart players Akinyi, kamau and Juma hit bullβs eye are 0.2, 0.3 and 0.15 respectively.
(Solved)
The probability that three dart players Akinyi, kamau and Juma hit bullβs eye are 0.2, 0.3 and 0.15 respectively.
a) If each plays once show the possible outcomes on a tree diagram.
b) Calculate the probability that
i)All hit the bulls eye
ii)Only one hit the bulls eye
iii)Almost one misses the bulls eye.
Date posted:
May 7, 2019
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Answers (1)
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a) Using mid-ordinate rule, estimate the area under the curve y =1/2x2 - 2. Using six strips between x=2 and x=8and x-axis.
(Solved)
a) Using mid-ordinate rule, estimate the area under the curve y =1/2x2 - 2. Using six strips between x=2 and x=8
and x-axis.
b) Using intergration to determine the exact area under the curve.
c) Find the percentage error in calculating the area using the mid-ordinate rule.
Date posted:
May 7, 2019
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Answers (1)
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In the figure below A and B are centres of circles. PQ=12cm is an internal tangent AB=15cm and the ratio of the radii
is 2:3
(Solved)
In the figure below A and B are centres of circles. PQ=12cm is an internal tangent AB=15cm and the ratio of the radii
is 2:3
Calculate :
a) The radii of the circles
b) Distance AT and TQ
Date posted:
May 7, 2019
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Answers (1)
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The table shows income tax rates.
(Solved)
The table shows income tax rates.
A company employee earn a monthly basic salary of Ksh. 30,000 and is also given taxable allowances amounting to
Ksh. 10480.
a) Calculate the total income tax.
b) The employee is entitled to a personal tax relief of Ksh. 800 per month. Determine the net tax.
c) If the employee received a 50% increase in his total income. Calculate the corresponding percentage increase on the
income tax.
Date posted:
May 7, 2019
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Answers (1)
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Obtain the integral values of x for which 3 < 27x< 81
(Solved)
Obtain the integral values of x for which 3 < 27x< 81
Date posted:
May 7, 2019
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Answers (1)
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Find the equation of the normal to the curve. y = x2 + 4x - 3 at point (1,3)
(Solved)
Find the equation of the normal to the curve.
y = x2 + 4x - 3 at point (1,3)
Date posted:
May 7, 2019
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Answers (1)
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A quantity y varies partly as x2 and partly as x. When y=6, x=1 and when y=30, x=3.Find y when x=3.
(Solved)
A quantity y varies partly as x2 and partly as x. When y=6, x=1 and when y=30, x=3.Find y when x=3.
Date posted:
May 7, 2019
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Answers (1)
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Point P(400S, 450E) and point Q (400S, 600W) are on the surface of the earth. Calculate the shortest distance along a circle of latitude between...
(Solved)
Point π(400π, 450E) and point Q (400π, 600π) are on the surface of the earth. Calculate the shortest distance along a circle of latitude between the two points.
Date posted:
May 7, 2019
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Answers (1)
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The cost of the 2 brands of coffee A and B per kg are sh. 59.40 and sh. 72 respectively. The two brands are mixed...
(Solved)
The cost of the 2 brands of coffee A and B per kg are sh. 59.40 and sh. 72 respectively. The two brands are mixed in the
ratio x: y and sold at a profit of 20 % above the cost. If the selling price per kg of mixture is sh. 72. Find the value of x
and y.
Date posted:
May 7, 2019
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Answers (1)