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Use logarithm table to evaluate:
(Solved)
Use logarithm table to evaluate:
Date posted:
September 20, 2019
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Answers (1)
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The curve y =3x2- 6x + 6 passes through the point s ( 2,3)(a)Determine the gradient function of the curve.(b) Find the co-ordinates of...
(Solved)
The curve y=3x2- 6x + 6 passes through the point s ( 2,3)
(a)Determine the gradient function of the curve.
(b) Find the co-ordinates of the turning point of the curve.
(c) Determine whether the point is a minima or a maxima.
(d) Find the equation of the
(i) Tangent to the curve at S.
(ii) Normal to the curve at S.
Date posted:
September 20, 2019
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Answers (1)
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The relationship between two variables S and T is given by the equation S = KTn where K and n are constants.
(a) Write down the...
(Solved)
The relationship between two variables S and T is given by the equation S = KTn where K and n are constants.
(a) Write down the linear equation relating to S and T
(b) Hence complete the table above for the linear equation relating to S and T.
(c) Draw a suitable straight line graph to represent the data.
(d) use your graph to determine the values of K and n.
(e) find the value of S when T = 3.5
Date posted:
September 20, 2019
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Answers (1)
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Three quantities P,Q,and R are such that P varies jointly with Q and the square of R . if P = 900 when...
(Solved)
Three quantities P,Q,and R are such that P varies jointly with Q and the square of R . if P = 900 when
Q = 20 and R = 3
Find (i) an equation connecting P, Q and R
(ii) the value of R when Q = 10 and P = 800
Date posted:
September 20, 2019
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Answers (1)
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A supermarket is stocked with plates which come from two suppliers A and B. They are bought in the ratio of 3:5 respectively, 10% of...
(Solved)
A supermarket is stocked with plates which come from two suppliers A and B. They are bought in the ratio of 3:5 respectively, 10% of plates from A are defective and 6% of the plates from B are defective.
(a) A plate is chosen by a buyer at random. Find the probability that;
(i) it is from A
(ii) it is from B and it is defective.
(iii) it is defective
(b) Two plates are chosen at random. Find the probability that:
(i) both are defective
(ii) at least one is not defective.
Date posted:
September 20, 2019
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Answers (1)
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In a square PQRS, A is the mid-point of PQ and B is the mid-point of QR, while C is a point on BP such...
(Solved)
In a square PQRS, A is the mid-point of PQ and B is the mid-point of QR, while C is a point on BP such that 2BC = 3CP. The co-ordinates of P, Q and S are (4,4), (14,4) and (4,14) respectively. Find:
(a) (i) the column vectors of PQ and PS.
(ii) co-ordinates of R
(b) Show that A, C, S are collinear.
Date posted:
September 20, 2019
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Answers (1)
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In the figure below O is the centre of the circle and PTQ is the tangent at T. If PT=ST and angle SRT=52o. Determine the...
(Solved)
In the figure below O is the centre of the circle and PTQ is the tangent at T. If PT=ST and angle SRT=52o. Determine the size of the angles below giving reasons:
(a) PTS
(b) RTQ
(c) TSR
(d) TQR
(e) PSQ
Date posted:
September 19, 2019
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Answers (1)
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Given that 9x2+36x-40+k is a perfect square, find the value of k.
(Solved)
Given that 9x2+36x-40+k is a perfect square, find the value of k.
Date posted:
September 19, 2019
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Answers (1)
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Find the limits within which the area of a parallelogram whose base is 8cm and height is 5cm lies. Hence find the relative error in...
(Solved)
Find the limits within which the area of a parallelogram whose base is 8cm and height is 5cm lies. Hence find the relative error in the area.
Date posted:
September 19, 2019
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Answers (1)
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At Mweinga farm, a cow takes at least 180 units of vitamin A and not less than 160 units of vitamin B. Vitamin A and...
(Solved)
At Mweinga farm, a cow takes at least 180 units of vitamin A and not less than 160 units of vitamin B. Vitamin A and B are available in two types of feeds, x and y. Type x feeds contains 45 units per kg of vitamin A and 20 units per kg of vitamin B while type Y feeds contains 30 units per kg of vitamin A and 40 units of vitamin B. Taking x and y to be the number of Kgs of feed x and y respectively taken by the cow per day.
a)Form all the inequalities that represent the above information.
b)Show the region described by the all inequalities in (a) above graphically.
c)Given that 1kg of x costs sh40 and 1kg of y costs sh50, use your graph in (b) above to determine the least cost of maintaining a cow at the Mweinga farm.
Date posted:
September 19, 2019
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Answers (1)
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The table below shows the rate of taxation in a certain year.
Income in K£ p.a Rate of taxation shs per K£
1 – 3900 2
3901 – 7800 3
7801...
(Solved)
The table below shows the rate of taxation in a certain year.
Income in K£ p.a Rate of taxation shs per K£
1 – 3900 2
3901 – 7800 3
7801 - 11700 4
11701 – 15600 5
15601 – 19500 7
Above 19500 9
In that period Mrs. Kalii earns a basic salary of kshs22,000 and is entitled to a house allowance of ksh10,000 per month. If she gets a personal relief of sh.1056 per month.
a)Calculate how much income tax she paid per month.
b)Mrs. Kalii’s other deductions per month were;
-Co-operative society contributions of Ksh.2,000
-Loan repayment kshs.2260
-Provident fund deducted through check off system at 2% of his basic salary.
Calculate his net monthly pay.
Date posted:
September 19, 2019
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Answers (1)
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A industrialist has 450 litres of a chemical which is 70% pure. He mixes it with a chemical of the same type but 90% pure...
(Solved)
A industrialist has 450 litres of a chemical which is 70% pure. He mixes it with a chemical of the same type but 90% pure so as to obtain a mixture which is 75% pure. Find the amount of the 90% pure chemical used.
Date posted:
September 19, 2019
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Answers (1)
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Ruth deposited sh20,000 in a fixed deposit account for a period of 1½ years. The bank pays compound interest on quarterly basis. At the end...
(Solved)
Ruth deposited sh20,000 in a fixed deposit account for a period of 1½ years. The bank pays compound interest on quarterly basis. At the end of this period her account had shs46,200. Determine the rate at which interest was paid per annum.
Date posted:
September 19, 2019
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Answers (1)
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The average of the first and fourth terms of a G.P is 140. Given that the first term is 64, find the common ratio.
(Solved)
The average of the first and fourth terms of a G.P is 140. Given that the first term is 64, find the common ratio.
Date posted:
September 19, 2019
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Answers (1)
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A ball is kicked vertically upwards from a point 0.5m above the ground at a velocity of 16m/s. Assuming that acceleration due to gravity is...
(Solved)
A ball is kicked vertically upwards from a point 0.5m above the ground at a velocity of 16m/s. Assuming that acceleration due to gravity is 10m/s2
Determine
a)An expression for its velocity t seconds later
b)An expression for its height above the ground t seconds later
c)The maximum height reached by the ball
Date posted:
September 19, 2019
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Answers (1)
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A two-digit number is made by combining any of the two digits 1, 3, 5, 7 and 9 at random.
a)Make an array of possible combinations
...
(Solved)
A two-digit number is made by combining any of the two digits 1, 3, 5, 7 and 9 at random.
a)Make an array of possible combinations
b)Find the probability that the number formed is prime
Date posted:
September 19, 2019
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Answers (1)
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Grade x and grade y sugar cost sh60 and sh50 per kilogram respectively. In what proportion must the two grades be mixed to produce a...
(Solved)
Grade x and grade y sugar cost sh60 and sh50 per kilogram respectively. In what proportion must the two grades be mixed to produce a blend that cost sh53 per kilogram
Date posted:
September 19, 2019
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Answers (1)
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A point T divides a line AB internally in the ratio 5:2. Given that A is (4,10) and B(11,3). Find the coordinates of T
(Solved)
A point T divides a line AB internally in the ratio 5:2. Given that A is (4,10) and B(11,3). Find the coordinates of T
Date posted:
September 19, 2019
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Answers (1)
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Use matrix method to determine the co-ordinates of the point of intersection of the two lines.
3x – 2y = 13, 2y + x + 1...
(Solved)
Use matrix method to determine the co-ordinates of the point of intersection of the two lines.
3x – 2y = 13, 2y + x + 1 = 0
Date posted:
September 19, 2019
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Answers (1)
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A mixture of sand, cement and ballast is in the ratio 5:1:3. If the cost of 7 tonnes of sand is Sh 3000,
5 tonnes of...
(Solved)
A mixture of sand, cement and ballast is in the ratio 5:1:3. If the cost of 7 tonnes of sand is Sh 3000,
5 tonnes of cement sh 50,000 and 8 tonnes of ballast Sh 4000, find the cost of 7tonnes of the mixture.
Date posted:
September 18, 2019
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Answers (1)