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Simplify
a. Log 6 +log 4
b. Log 4 – log 2
c. Log 60 – log 20
Date posted:
November 15, 2017
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Express in terms of x, y, and z given that log a =x, log b =y and log c = z
a. Log a^2b
b. Log (a/b)
c. Log (a^2b/c)
Date posted:
November 15, 2017
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State the three laws of logarithms.
Date posted:
November 15, 2017
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Express the following in terms log x, log y, and log z
a. Log xy
b. Log xyz
c. Log (x/y)
Date posted:
November 15, 2017
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Write log 1000 – 2 log 50 as a logarithm of a single number
Date posted:
November 15, 2017
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Given that log 2= 0.3010 and log 3 =0.4771, simplify
a. Log 12
b. Log 0.75
c. Log 108
Date posted:
November 15, 2017
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Express the following in logarithmic notation
a. 8^2 =64
b. 8^(1/3) =2
c. 5^1 =5
Date posted:
November 15, 2017
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State the sine rule
Date posted:
November 12, 2017
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An arc subtends an angle of 1.2 rad. If radius of circle is 15 cm, find the length of the arc.
Date posted:
November 12, 2017
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What is the length of an arc which subtends an angle of 0.9 radian at the centre of a circle of radius 20cm?
Date posted:
November 12, 2017
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Convert 135⁰ into radian
Date posted:
November 12, 2017
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Find the values of the sine, cosine, and tangent of the following angles 801⁰, 1031⁰, and 1250⁰.
Date posted:
November 12, 2017
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Write down the values of sine of each of the following angles -36⁰, -142⁰, -216⁰, -322⁰
Date posted:
November 12, 2017
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Express the following in terms of the sine of an acute angle.
a. Sine -160⁰
b. Sine -320⁰
c. Sine 449⁰
d. Sine 760⁰
Date posted:
November 12, 2017
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If sine ?= 0.6, find all the possible values of ? between 0° and 360°.
Date posted:
November 12, 2017
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Given 9.6 cm ÷ 4.4 cm, find
The absolute error in the quotient
The relative error in the quotient.
Date posted:
November 11, 2017
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A rectangular card measures 6.3 cm by 3.5 cm. Find
a. The absolute error in the area of the card.
b. The relative error in the area of the card.
Date posted:
November 11, 2017
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Three bells ring such that bell A rings after 20minutes,bell B rings after 40minutes and bell C rings after 30minutes.If they rang together at 10.00am.What time will they ring together the third time?
Date posted:
November 11, 2017
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What is the error in the sum of 5.5 cm and 7.1 cm, if each represents a measurement?
Date posted:
November 11, 2017
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For each of the following functions, find the inverse of the function (a)f(x)=x³+6 (b)f(x)=4v(5x+8)
Date posted:
November 10, 2017
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If A={2,5,8} and B={0,2,6,9}, then AUB will be?
Date posted:
November 10, 2017
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A vehicle travelled for 4(1/2)hours and covered a distance of 844 km. estimate the speed of the vehicle.
Date posted:
November 10, 2017
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Truncate 661.7 to
a. 3 significant figures
b. 2 significant figures
Date posted:
November 10, 2017
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What is truncation?
Date posted:
November 10, 2017
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Determine the population of a town four years ago if the present population is 800 000 and the annual population growth rate of the town is 5%.
Date posted:
November 7, 2017
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A school bursar wishes to obtain the sum of the following amounts of money paid in as school fees for three students by the CDF: Ksh 10860, Ksh 49105 and Ksh 7352, the bursar estimates the sum by first rounding each of the amounts to 3 significant figures.
(a) Determine the estimated sum
(b) Determine the percentage error in this estimate
Date posted:
November 7, 2017
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A solid metal cuboid 1.5 m long, 0.4 m wide and 0.25 m high of material of density 7.5g/cm3. Calculate it's mass in Kilograms.
Date posted:
November 7, 2017
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The marked price of a modern camera is Kes 24, 000. A trader sold it to a customer at a 10% discount. If the trader still made a profit of 20% on the cost price, what was its cost price?
Date posted:
November 6, 2017
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A rectangular water tank has a base measuring 4m by 2.5m. This tank has water to a height of 90cm. Water is then pumped into this tank continuously from 2240 hours to 2330 hours at the rate of 1.2 litres per second. Find the new depth of water in the tank after this period of time giving your results in metres.
Date posted:
November 6, 2017
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The price of an article was raised by 10% and a week later the new price was lowered by 5%. What was the new price if the original price was sh. 100?
Date posted:
October 27, 2017