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- (a) Expand and simplify (x - 1/2x)6 up to the term in x3 and state the constant term.
(b) Use this expansion to calculate to...(Solved)
(a) Expand and simplify (x − 1/2x)6 up to the term in x3 and state the constant term.
(b) Use this expansion to calculate to 4 d.p the value of (0.96)6.
Date posted: November 12, 2019. Answers (1)
- Make h the subject of the formula.(Solved)
Make h the subject of the formula.
Date posted: November 12, 2019. Answers (1)
- In this question, show all the steps in your calculations, giving the answer at each stage. Use logarithms correct to decimal places, to evaluate.
(Solved)
In this question, show all the steps in your calculations, giving the answer at each stage. Use logarithms correct to decimal places, to evaluate.
Date posted: November 12, 2019. Answers (1)
- The speed of projectile v m/s at a given time t is given by v=10(10t-t2)(Solved)
The speed of projectile v m/s at a given time t is given by v=10(10t-t2) calculate
a. The time when the velocity is maximum
b. The maximum velocity attained
c. The distance traveled by the body in the first 6 seconds
d. The acceleration of the projectile at t=6.5sec
Date posted: November 12, 2019. Answers (1)
- (a) Complete the table below for the function y = 2x2 + 3x – 5.(b) On the grid provided draw the graph of y =...(Solved)
(a) Complete the table below for the function y = 2x2 + 3x – 5.
(b) On the grid provided draw the graph of y = 2x2 + 3x – 5 for -4 = x = 2
(c) Use your graph to state the roots of
(i) 2x2 + 3x – 5 = 0
(ii) 2x2 + 6x – 2 = 0
Date posted: November 12, 2019. Answers (1)
- Four towns A, B, C and D are such that B is 84km direct to the north of A and C is on a bearing...(Solved)
Four towns A, B, C and D are such that B is 84km direct to the north of A and C is on a bearing of N 65oW from A at a distance of 60km. D is on a bearing of 340o from C at a distance of 30km. Using a scale of 1 cm rep 10km
a) Make an accurate scale drawing showing the relative positions of the towns
b) Find the distance and bearing of B from C
c) Find the distance and bearing of D from B
d) Find the bearing of A from D
Date posted: November 12, 2019. Answers (1)
- The figure above shows two circles ABPQ and ABSR intersecting at A and B. QART, PBS and ABU are straight lines. The line TSU is...(Solved)
The figure above shows two circles ABPQ and ABSR intersecting at A and B. QART, PBS and ABU are straight lines. The line TSU is a tangent to the circle ABSR at S. Given that ˂BPQ = 80o, ˂PBU = 115o and ˂BUS = 70o.
Find & state reasons for the following angles
a) ˂BRS
b) ˂BSU
c) ˂STR
d) ˂BAR
e) ˂ARB
Date posted: November 12, 2019. Answers (1)
- (a). The price of an article is marked as sh.12,000. Mr. Mulmulwas sold the article at a discount of 10% and still made a profit...(Solved)
(a). The price of an article is marked as sh.12,000. Mr. Mulmulwas sold the article at a discount of 10% and still made a profit of 5%. Calculate the cost of the article.
(b). Mr. Mulmulwas made a loss of 30% by selling an electric kettle at sh.700. What profit would he have made if she had sold it at sh.1150?
(c). Mr. Mulmulwas is a real estate agent who is entitled to a commission on all properties bought through him. During a certain month he sold 2 mansions at sh. 2.54 million each, 4 flats at sh. 582,000 each and 5 bungalows at sh.354,000 each and he was paid a total commission of sh.458,900. Calculate the percentage rate of commission he was paid.
Date posted: November 12, 2019. Answers (1)
- Given A find AB.(Solved)
Given A 
find AB.
Date posted: November 12, 2019. Answers (1)
- Matrices P and Q are given by P = (3 1 2)and Q = (1 2 -1) Find the product PQ.(Solved)
Matrices P and Q are given by P = (3 1 2)and Q = (1 2 -1) Find the product PQ.
Date posted: November 12, 2019. Answers (1)
- Find all the integral values of ?? which satisfy the inequalities
20 - x > 5 + 2 x = x + 5(Solved)
Find all the integral values of x which satisfy the inequalities
20 − x > 5 + 2 x ≥ x + 5
Date posted: November 12, 2019. Answers (1)
- The angle of elevation of the top of a building from a point P is 45o. From another point T, 15 meters nearer the foot...(Solved)
The angle of elevation of the top of a building from a point P is 45o. From another point T, 15 meters nearer the foot of the building, the angle of elevation of the top of the building is 52o. Calculate the height of the building.
Date posted: November 12, 2019. Answers (1)
- Using tables, find the reciprocal of 0.432 and hence evaluate(Solved)
Using tables, find the reciprocal of 0.432 and hence evaluate 
Date posted: November 12, 2019. Answers (1)
- Solve the equation
3x × 3y = 1
22x-y - 64 = 0(Solved)
Solve the equation
3x × 3y = 1
22x−y − 64 = 0
Date posted: November 12, 2019. Answers (1)
- The figure below shows a solid wedge PQRSTU. Complete the solid showing all the hidden edges with dotted lines.(Solved)
The figure below shows a solid wedge PQRSTU. Complete the solid showing all the hidden edges with dotted lines.
Date posted: November 12, 2019. Answers (1)
- A Kenyan bank buys and sells foreign currency as shown in the table below.
A tourist arrived in Kenya with 15000 pounds which he converted into...(Solved)
A Kenyan bank buys and sells foreign currency as shown in the table below.
A tourist arrived in Kenya with 15000 pounds which he converted into Ksh at a commission of 8%.
He later used half of the money before changing the balance into dollars at no commission. Calculate
to the nearest dollar the amount he received.
Date posted: November 12, 2019. Answers (1)
- The sum of two numbers is 23 and their difference is 3. Find the sum of the squares of the two numbers.(Solved)
The sum of two numbers is 23 and their difference is 3. Find the sum of the squares of the two numbers.
Date posted: November 12, 2019. Answers (1)
- Simplify(Solved)
Simplify 
Date posted: November 12, 2019. Answers (1)
- The length of three wires are 36m, 48m and 72m. pieces of wire of equal lengths were cut from the three wires, calculate the least...(Solved)
The length of three wires are 36m, 48m and 72m. pieces of wire of equal lengths were cut from the three wires, calculate the least number of pieces obtained.
Date posted: November 12, 2019. Answers (1)
- Calculate the value of using factor notation.(Solved)
Calculate the value of 
using factor notation.
Date posted: November 12, 2019. Answers (1)