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- Find the gradient of y=x2 -3x at x=1
Find the gradient of y=x2 -3x at x=1
Date posted: March 5, 2019
- A bus and a car leave Nairobi at 7.30am and 9.30am respectively. If their speeds are 60km/h and 100km/h respectively, find the time when the car catches up with the bus.
A bus and a car leave Nairobi at 7.30am and 9.30am respectively. If their speeds are 60km/h and 100km/h respectively, find the time when the car catches up with the bus.
Date posted: March 5, 2019
- Solve the inequality below and state the integral values of your solution.
Solve the inequality below and state the integral values of your solution.
2(3x-4)
Date posted: March 5, 2019
- In 100m race there are three main competitors namely Simiyu, Ondiek and Kamau. Simiyu is three times likely to win as Ondiek, while Ondiek is twice as likely to win as Kamau.
In 100m race there are three main competitors namely Simiyu, Ondiek and Kamau. Simiyu is three times likely to win as Ondiek, while Ondiek is twice as likely to win as Kamau.
Find the probability that
a) Ondiek wins the race
b) Either Simiyu or Kamau
Date posted: March 5, 2019
- An electric crane lifts a load of 2000kg through a vertical distance of 3.0m in 6 seconds
Determine:
An electric crane lifts a load of 2000kg through a vertical distance of 3.0m in 6 seconds
Determine:
i)The work done
ii) The power developed by the crane.
iii).The efficiency of the crane if it is operated by an electric motor rated 12.5kw.
Date posted: March 5, 2019
- In an experiment to determine the density of solid S which is not soluble in water. A student obtained the following;
In an experiment to determine the density of solid S which is not soluble in water. A student obtained the following;
- Mass of empty density bottle= 20g
- Mass of density bottle when full of water =45g
- Mass of density bottle with small quantity of solid S =152g
- Mass of density bottle with small amount of solids S and topped up with water =167g
Given that the density of water is 1g/cm3,
Find;
i.The volume of the density bottle
ii. The mass of the solid S
iii. The volume of the solid S
Date posted: March 5, 2019
- The level of water in a measuring cylinder rises from the 50cm3 mark to 55.7cm3 marks when a metal block weighing 45g is submerged in the water in the cylinder.Calculate the density of the metal block.
The level of water in a measuring cylinder rises from the 50cm3 mark to 55.7cm3 marks when a metal block weighing 45g is submerged in the water in the cylinder.Calculate the density of the metal block.
Date posted: March 5, 2019
- A girl ties a stone of mass 250g with a piece of thread. Holding the other end of the thread at 45cm in length, she makes the stone revolve in a circle in a vertical plane at a constant speed.
A girl ties a stone of mass 250g with a piece of thread. Holding the other end of the thread at 45cm in length, she makes the stone revolve in a circle in a vertical plane at a constant speed. If the stone is making 3 revolutions, per second calculate;
a) The angular velocity.
b) Tension in the string when the stone is vertically above the girl’s hand.
Date posted: March 5, 2019
- An oil drop forms a circular patch of an area 5.0 x 10-13cm2. If the drop has a volume of 9.0 x 10-14 cm3, estimate the diameter of the oil molecule.
An oil drop forms a circular patch of an area 5.0 x 10-13cm2. If the drop has a volume of 9.0 x 10-14 cm3, estimate the diameter of the oil molecule.
Date posted: March 5, 2019
- The figure below shows a 1 meter long uniform metal bar in equilibrium.
The figure below shows a 1 meter long uniform metal bar in equilibrium.
Determine the weight of the metal bar.
Date posted: March 5, 2019
- A Girl in a school in the Coast region plans to make a barometer, using sea water of density 1030kgm-3. If the atmospheric pressure is 103000Nm-2. Determine the minimum length of the tube she will use.
Take g =10N/kg.
A Girl in a school in the Coast region plans to make a barometer, using sea water of density 1030kgm-3. If the atmospheric pressure is 103000Nm-2. Determine the minimum length of the tube she will use.
Take g =10N/kg.
Date posted: March 5, 2019
- The figure below shows a micrometer screw gauge being used to measure the diameter of a metal rod.
The figure below shows a micrometer screw gauge being used to measure the diameter of a metal rod.
What is the reading shown?
Date posted: March 5, 2019
- A pipe of diameter 12m is connected to another of diameter 18m. If water flows in the wider at the speed of 2m/s, determine his speed of water in the narrower pipe?
A pipe of diameter 12m is connected to another of diameter 18m. If water flows in the wider at the speed of 2m/s, determine his speed of water in the narrower pipe?
Date posted: March 5, 2019
- A man lifts a weight of 300N through a vertical height of 2m, in 6 seconds. Determine the power developed.
A man lifts a weight of 300N through a vertical height of 2m, in 6 seconds. Determine the power developed.
Date posted: March 5, 2019
- Given that Log 4 = 0.6021 and Log 6 = 0.7782, without using mathematical tables or a calculator, evaluate log 0.096.
Given that Log 4 = 0.6021 and Log 6 = 0.7782, without using mathematical tables or a calculator, evaluate log 0.096.
Date posted: March 7, 2019
- Solve the equation below
Solve the equation below
Date posted: March 7, 2019
- The gradient of the tangent to the curve y = ax3 + bx at the point (1,1) is —5. Calculate the values of a and b
The gradient of the tangent to the curve y = ax3 + bx at the point (1,1) is —5. Calculate the values of a and b
Date posted: March 7, 2019
- The angle of elevation of the top of a cliff from point p is 450. From a point Q which is 10m from P towards the foot of the cliff,the angle of elevation is 480.Calculate the height of the cliff.
The angle of elevation of the top of a cliff from point p is 450. From a point Q which is 10m from P towards the foot of the cliff,the angle of elevation is 480.Calculate the height of the cliff.
Date posted: March 7, 2019
- Water flows from a tap at the rate of 27cm3/second,into a rectangular tank of length 60cm,width 30cm and height 40cm.If at 6:00p.m. the container was half full,what will be the height of the water at 6:04p.m.
Water flows from a tap at the rate of 27cm3/second,into a rectangular tank of length 60cm,width 30cm and height 40cm.If at 6:00p.m. the container was half full,what will be the height of the water at 6:04p.m.
Date posted: March 7, 2019
- The mass of 6 similar art books and 4 similar biology books is 7.2kg. The mass of 2 such art books and 3 such biology books is 3.4kg. Find the mass of one art book and the mass of one biology book.
The mass of 6 similar art books and 4 similar biology books is 7.2kg. The mass of 2 such art books and 3 such biology books is 3.4kg. Find the mass of one art book and the mass of one biology book.
Date posted: March 7, 2019