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- a)Expand (1 – 2x)10 up to the 4th term.
b)Hence use your expansion in (a) above to evaluate (0.98)10 correct to 4s.f(Solved)
a)Expand (1 – 2x)10 up to the 4th term.
b)Hence use your expansion in (a) above to evaluate (0.98)10 correct to 4s.f
Date posted: September 23, 2019. Answers (1)
- The cost C of operating a computer business is partly constant and partly varies as the square of labour input L. If C = 25,000...(Solved)
The cost C of operating a computer business is partly constant and partly varies as the square of labour input L. If C = 25,000 when L = 20 and C = 45,000 when L = 30. Find C when L = 8.
Date posted: September 23, 2019. Answers (1)
- Two lines, x + 2y = -1 and 2x + 3y = 3 intersect at a point P. Find the equation of the circle, Centre...(Solved)
Two lines, x + 2y = -1 and 2x + 3y = 3 intersect at a point P. Find the equation of the circle, Centre P, radius 4 units giving your answer in the form x2 + y2 + ax + by = c, where a, b and c are constants.
Date posted: September 23, 2019. Answers (1)
- The gradient function of a curve is given as 3x2 – 4x + 1. If the curve passes through the Point (1, -2). Find the...(Solved)
The gradient function of a curve is given as 3x2 – 4x + 1. If the curve passes through the Point (1, -2). Find the equation of the curve.
Date posted: September 23, 2019. Answers (1)
- Make S the subject of the formula (Solved)
Make S the subject of the formula
Date posted: September 23, 2019. Answers (1)
- Using the mid-ordinate rule with four strips, estimate the area under the curve from x = 0 to x = 4.(Solved)
Using the mid-ordinate rule with four strips, estimate the area under the curve 
from x = 0 to x = 4.
Date posted: September 23, 2019. Answers (1)
- Some Form Four students went for a contest and scored the following marks, marked out of 10 marks: 6, 5, 2, 7, 3, 9, 8...(Solved)
Some Form Four students went for a contest and scored the following marks, marked out of 10 marks: 6, 5, 2, 7, 3, 9, 8 and 8. Calculate the standard deviation.
Date posted: September 23, 2019. Answers (1)
- A student measured the length and width of a rectangular field and recorded as
9.5m by 4.0m. Calculate the percentage error in the area of...(Solved)
A student measured the length and width of a rectangular field and recorded as
9.5m by 4.0m. Calculate the percentage error in the area of the field.
Date posted: September 23, 2019. Answers (1)
- Using a ruler and a pair of compasses only, construct triangle PQR such that PQ=5cm,QR=4cm and angle PQR=1200. Measure PR. On the diagram, construct a...(Solved)
Using a ruler and a pair of compasses only, construct triangle PQR such that PQ=5cm,QR=4cm and angle PQR=1200. Measure PR. On the diagram, construct a circle centre O which passes through the vertices of the triangle PQR. Measure the radius of the circle. Measure the shortest distance from the centre of the circle to the lines PQ and QR.
Date posted: September 23, 2019. Answers (1)
- A student throws a regular tetrahedron and a die he recorded the outcome when they settled.
a) Write down the probability sample space for all...(Solved)
A student throws a regular tetrahedron and a die he recorded the outcome when they settled.
a) Write down the probability sample space for all possible outcomes.
b) Find the probability that the numbers appearing on the die and the tetrahedron have a product of 4 or 12.
c) Find the probability that the sum of the numbers on top is 5 or more than 5.
d) Find the probability that both numbers are odd.
Date posted: September 23, 2019. Answers (1)
- Mr. Wangila is a salaried civil servant. He earns a basic monthly salary of sh. 20,640, a house allowance of sh. 6,800p.m and medical allowance...(Solved)
Mr. Wangila is a salaried civil servant. He earns a basic monthly salary of sh. 20,640, a house allowance of sh. 6,800p.m and medical allowance of sh. 2800p.m. He claims a family relief of sh. 400p.m. He pays sh. 300 per month and 2% of his salary towards water bills and NHIF respectively.
Calculate his net monthly salary in Ksh using the tax rates shown in the table below.
Date posted: September 23, 2019. Answers (1)
- Solve for x in the equation(Solved)
Solve for x in the equation
Date posted: September 23, 2019. Answers (1)
- Use logarithms tables to evaluate(Solved)
Use logarithms tables to evaluate
Date posted: September 23, 2019. Answers (1)
- In the figure below, PQ//SR,SPO=SOR = 900, RS =7cm and QR = 4cm. Calculate the length of PQ correct to three significant figures.(Solved)
In the figure below, PQ//SR,SPO=SOR = 900, RS =7cm and QR = 4cm. Calculate the length of PQ correct to three significant figures.
Date posted: September 23, 2019. Answers (1)
- Solve for x given that:(Solved)
Solve for x given that: 
Date posted: September 23, 2019. Answers (1)
- If Z varies jointly as x2 and the square root of y and z = 18¾ when x = 5 and y = 9.Find...(Solved)
If Z varies jointly as x2 and the square root of y and z = 18¾ when x = 5 and y = 9.Find z when x = 3 and y=16
Date posted: September 23, 2019. Answers (1)
- Simplify:(Solved)
Simplify: 
Date posted: September 23, 2019. Answers (1)
- Momanyi deposited sh. 24,000 in a fixed account for a period of 24 months .The bank pays compound interest on quarterly basis. At the...(Solved)
Momanyi deposited sh. 24,000 in a fixed account for a period of 24 months .The bank pays compound interest on quarterly basis. At the end of this period, Momanyi’s account had ksh. 64,200. Determine the rate at which interest is paid per annum.
Date posted: September 23, 2019. Answers (1)
- Given that sin2x+cos2x=1 solve for X in the equation
Cosx + sinx = 1 for -1800=x=1800(Solved)
Given that sin2x+cos2x=1 solve for X in the equation
Cosx + sinx = 1 for -1800≤x≤1800
Date posted: September 23, 2019. Answers (1)
- If X = 33.5 and y = 33.1 both being correct to one decimal place, calculate the maximum possible percentage error in X-y(Solved)
If X = 33.5 and y = 33.1 both being correct to one decimal place, calculate the maximum possible percentage error in X-y
Date posted: September 23, 2019. Answers (1)