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A curve is given by the equation y = 5x3 – 7x3 + 3x + 2. Find the gradient of the curve at x...
(Solved)
A curve is given by the equation y = 5x3 – 7x3 + 3x + 2. Find the gradient of the curve at x = 1.
Date posted:
August 27, 2019
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Answers (1)
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A box contains 6 yellow balls, 4 white balls and 2 blue balls, all balls being similar in shape. A ball is picked at random...
(Solved)
A box contains 6 yellow balls, 4 white balls and 2 blue balls, all balls being similar in shape. A ball is picked at random without replacement and its colour noted. Use a tree diagram to determine the probability that at least one of the first two balls picked is blue.
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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Make n the subject of the formula.
(Solved)
Make n the subject of the formula.
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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R varies as the square of S. If S is increased by 10%, find the ratio of the new value of R to the original...
(Solved)
R varies as the square of S. If S is increased by 10%, find the ratio of the new value of R to the original R.
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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Three variables P, R and S are such that P varies directly as R and inversely as cube of S. When R = 10, S...
(Solved)
Three variables P, R and S are such that P varies directly as R and inversely as cube of S. When R = 10, S = 2 and P = 2.5, find R when P = 15 and S = 5.
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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The data below shows the masses in grams of 50 potatoes.
(a) On the grid provided draw a cumulative frequency curve for the data.
(b) Use the...
(Solved)
The data below shows the masses in grams of 50 potatoes.
(a) On the grid provided draw a cumulative frequency curve for the data.
(b) Use the graph in (a) above to determine:
(i) The 60th percentile mass.
(ii) Percentage of potatoes whose masses lie in the range 53g to 68g.
(iii) Median mass.
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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A car was valued at Ksh.3000000 in January 2000. Each year its value decreased by 12% of its value at the beginning of the year....
(Solved)
A car was valued at Ksh.3000000 in January 2000. Each year its value decreased by 12% of its value at the beginning of the year. Find the value of the car in January 2004 giving your answer correct to 4s.f.
Date posted:
August 27, 2019
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Answers (1)
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Find the centre and radius of a circle with equation x² + y² - 6x + 8y – 11 = 0
(Solved)
Find the centre and radius of a circle with equation x² + y² - 6x + 8y – 11 = 0
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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After being given a discount of sh.5 on every book I bought, I was able to buy 2 more books than before. I was given...
(Solved)
After being given a discount of sh.5 on every book I bought, I was able to buy 2 more books than before. I was given the discount with sh.200. What was the price of one book before the discount?
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)
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A bus left Nairobi and travelled towards Busia at an average speed of 90km/hr. After2 2/9 hours, a car left Nairobi and travelled along the...
(Solved)
A bus left Nairobi and travelled towards Busia at an average speed of 90km/hr. After 2 2/9 hours, a car left Nairobi and travelled along the same road at an average speed of 170km/hr. If the distance between Nairobi and Busia is 800km, Determine the distance the car travelled to catch up with the bus.
Date posted:
August 27, 2019
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Answers (1)
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The gradient of the curve whose equation is given by y= ax3 — 20x2 +10x at the point where x=2 is 410. Find the value...
(Solved)
The gradient of the curve whose equation is given by y= ax3 — 20x2 +10x at the point where x=2 is 410. Find the value of a.
Date posted:
August 27, 2019
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Answers (1)