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Using the tables of squares, square roots and reciprocal,solve the equation below
(Solved)
Using the tables of squares, square roots and reciprocal,solve the equation below
Date posted:
August 27, 2019
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Answers (1)
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Without using tables or a calculator evaluate
(Solved)
Without using tables or a calculator evaluate
Date posted:
August 27, 2019
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Answers (1)
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By using completing square method, solve for x in 4x2 – 3x – 6 = 0
(Solved)
By using completing square method, solve for x in 4x2 – 3x – 6 = 0
Date posted:
August 27, 2019
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Answers (1)
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A plane leaves an airport x (41.50N, 36.40W) at 9.00a.m. and flies due North to airport y on latitude 53.20N.
(a) Calculate the distance covered by...
(Solved)
A plane leaves an airport x (41.50N, 36.40W) at 9.00a.m. and flies due North to airport y on latitude 53.20N.
(a) Calculate the distance covered by the plane in kilometers.
(b) After stopping for 30 minutes to refuel at Y, the plane then flies due east to airport Z, 2500km from Y. Find:-
(i) The position of Z.
(ii) The time the plane lands at Z, if its speed is 500km/h.
(Take the value of π as 22/7 and radius of the earth as 6370km)
Date posted:
August 27, 2019
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Answers (1)
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On arrival to Kenya a Canadian tourist exchanged his Canadian dollars for Ksh 199 690.Given that the currency exchange rate was 1 Canadian dollar =...
(Solved)
On arrival to Kenya a Canadian tourist exchanged his Canadian dollars for Ksh 199 690.Given that the currency exchange rate was 1 Canadian dollar = Ksh 52.55 and that the bank charged him 5% commission, find the number of dollars he exchanged.
Date posted:
August 27, 2019
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Answers (1)
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(a) Using the trapezoidal rule, estimate the area under the curve y = ½ x2– 2 between the lines x = 0 and x =...
(Solved)
(a) Using the trapezoidal rule, estimate the area under the curve y = ½ x2– 2 between the lines x = 0 and x = 6 using 6 strips.
(b) Use the integration to evaluate the exact area under the curve.
(c) Hence calculate the percentage error in calculating the area using trapezoidal rule.
Date posted:
August 27, 2019
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Answers (1)
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Three variables p, q and r are such that p varies directly as q and inversely as the square of r.
(a) When p = 18,...
(Solved)
Three variables p, q and r are such that p varies directly as q and inversely as the square of r.
(a) When p = 18, q = 24 and r = 4.Find p when q = 30 and r = 10.
(b) Express q in terms of p and r.
(c) If p is increased by 20% and r is decreased by 10% find:
(i) A simplified expression for the change in q in terms of p and r.
(ii) The percentage change in q.
Date posted:
August 27, 2019
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Answers (1)
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A spherical solid lead of diameter 12cm weighs 6.4kg. How much would a similar solid of a diameter 10cm weigh?
(Solved)
A spherical solid lead of diameter 12cm weighs 6.4kg. How much would a similar solid of a diameter 10cm weigh?
Date posted:
August 27, 2019
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Answers (1)
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The LCM of two numbers is 328,600 and the GCD is 20. If one of the numbers is 1240, use prime factorization method, find the...
(Solved)
The LCM of two numbers is 328,600 and the GCD is 20. If one of the numbers is 1240, use prime factorization method, find the other number.
Date posted:
August 27, 2019
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Answers (1)
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Solve for x in sin (x-15)-cos(x+5)=15
(Solved)
Solve for x in sin (x-15)-cos(x+5)=15
Date posted:
August 27, 2019
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Answers (1)
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The data below represents the ages in months at which 6 babies started walking; 9, 11, 12, 13, 11 and 10. Without using a calculator,...
(Solved)
The data below represents the ages in months at which 6 babies started walking; 9, 11, 12, 13, 11 and 10. Without using a calculator, find the exact value of the variance of the data.
Date posted:
August 27, 2019
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Answers (1)
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Three warships P, Q and R leave port X at 9:00am. Ship P sails at a steady speed on a bearing of 070°, 100km from...
(Solved)
Three warships P, Q and R leave port X at 9:00am. Ship P sails at a steady speed on a bearing of 070°, 100km from port X, while ship Q sails on a bearing of 320°, 80km from X. Ship R is on a bearing of 150° from port X and due south of ship P.
a) Using a ruler and compasses only construct a scale drawing to show the position of P,Q,R and X
b) Use the scale drawing to determine
i) the distance and bearing of ship P from ship Q
ii) the distance of ship R from port X
iii) the distance of ship R from ship P
Date posted:
August 27, 2019
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Answers (1)
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Use logarithm tables to evaluate
(Solved)
Use logarithm tables to evaluate
Date posted:
August 27, 2019
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Answers (1)
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Two variables P and L are such that P varies partly as L and partly varies as the square root of L. Determine the relationship...
(Solved)
Two variables P and L are such that P varies partly as L and partly varies as the square root of L. Determine the relationship between P and L given that L = 16 when P = 500 and L = 25 when P = 800.
Date posted:
August 27, 2019
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Answers (1)
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Complete the table below for the function y=7 + 2x— 2x2 for the range -3= x = 4.
(Solved)
(a) Complete the table below for the function y=7 + 2x— 2x2 for the range -3= x = 4.
(b) (i) On the grid provided draw the graph of y=7 + 2x— 2x2 .
Take the scale:2 cm to represent 1 unit on x- axis
1 cm to represent 1 unit on y- axis
(ii) Use your graph to estimate the roots of 7 + 2x— 2x2 = 0.
(c) (i) By drawing a suitable line on the same axes in (b) above solve the equation
9 + 5x— 2x2 = 0
(ii) State the co-ordinates of the turning point
Date posted:
August 27, 2019
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Answers (1)
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A point (-5, 4) is mapped onto (-1, -1) by a translation T. Find the image of (-4, 5) under the same translation.
(Solved)
A point (-5, 4) is mapped onto (-1, -1) by a translation T. Find the image of (-4, 5) under the same translation.
Date posted:
August 27, 2019
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Answers (1)
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A trader purchases four 25kg bags of sugar and packages the sugar in 2kg, 1kg and 0.5kg packs to be sold in retail. The trader...
(Solved)
A trader purchases four 25kg bags of sugar and packages the sugar in 2kg, 1kg and 0.5kg packs to be sold in retail. The trader does the packaging in a ratio of 3:2:5 respectively. He makes a profit of Kshs 10 for every 2kg pack, Kshs 8 for the 1kg pack and Kshs 6 for the 0.5kg pack.
(a) Determine;
(i) The number of packets the trader made for each type of package.
(ii) The profit he will make if the wholesale price of a 25kg bag of sugar is Kshs 2000
(iii) The selling price of each type of package.
(b) Determine his percentage profit.
Date posted:
August 27, 2019
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Answers (1)
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Two similar containers have capacities of 1000 litres and 1728 litres respectively. If it costs Ksh.750 to paint the outside surface of the smaller container,...
(Solved)
Two similar containers have capacities of 1000 litres and 1728 litres respectively. If it costs Ksh.750 to paint the outside surface of the smaller container, how much will it cost to paint the outside of the larger container.
Date posted:
August 27, 2019
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Answers (1)
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Two alloys Y and Z are each made up of zinc, tin and copper. In alloy Y, the ratio of zinc to tin is 2:5...
(Solved)
Two alloys Y and Z are each made up of zinc, tin and copper. In alloy Y, the ratio of zinc to tin is 2:5 and the ratio of copper to tin is 4:3. Determine the ratio, copper: zinc: tin in alloy Y.
Date posted:
August 27, 2019
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Answers (1)
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Obtain the binomial expansion of (1 - 2x)5 and use your expansion to evaluate (0.98)5 correct to 5d.p.
(Solved)
Obtain the binomial expansion of (1 - 2x)5 and use your expansion to evaluate (0.98)5 correct to 5d.p.
Date posted:
August 27, 2019
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Answers (1)