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- Three quantities P,Q,and R are such that P varies jointly with Q and the square of R . if P = 900 when...(Solved)
Three quantities P,Q,and R are such that P varies jointly with Q and the square of R . if P = 900 when
Q = 20 and R = 3
Find (i) an equation connecting P, Q and R
(ii) the value of R when Q = 10 and P = 800
Date posted: September 20, 2019. Answers (1)
- The sum of the first 14 of an AP is 595. Given that the sum of the first 8 terms of the same AP is...(Solved)
The sum of the first 14 of an AP is 595. Given that the sum of the first 8 terms of the same AP is 220
Find the
(i) the first term
(ii) the common difference.
Date posted: September 20, 2019. Answers (1)
- The equation of a circle is x2+y2-25y=-14x+38. Determine the centre and the radius of the circle(Solved)
The equation of a circle is x2+y2-25y=-14x+38. Determine the centre and the radius of the circle
Date posted: September 20, 2019. Answers (1)
- Find the exact area enclosed by the curve y=3x2,the x-axis and the line x=2 and x=4. (Solved)
Find the exact area enclosed by the curve y=3x2,the x-axis and the line x=2 and x=4.
Date posted: September 20, 2019. Answers (1)
- A coffee trader buys two grades of coffee at sh. 80 and sh. 100 per parket . Find the ratio at which she
should mix...(Solved)
A coffee trader buys two grades of coffee at sh. 80 and sh. 100 per parket . Find the ratio at which she
should mix them so that by selling the mixture at a sh. 120, a profit of 25% is realized.
Date posted: September 20, 2019. Answers (1)
- Find the distance in kilometers between places R(40oS,25oW) and S(40oS,120oE) along the parallel of latitude(Take radius of the earth to be 6370km and p...(Solved)
Find the distance in kilometers between places R(40oS,25oW) and S(40oS,120oE) along the parallel of latitude(Take radius of the earth to be 6370km and pi = 22/7) correct to 2 d.p.
Date posted: September 20, 2019. Answers (1)
- Find the expansion of (1+1/2 x)3
Hence use your expansion to obtain the value of (1.05)3. Correct to 4s.f. (Solved)
Find the expansion of (1+1/2 x)3
Hence use your expansion to obtain the value of (1.05)3. Correct to 4s.f.
Date posted: September 20, 2019. Answers (1)
- The table below shows the marks obtained by Form 3 students of Rehema Secondary School in Mathematics Exam. The total numbers of students were 100.Find...(Solved)
The table below shows the marks obtained by Form 3 students of Rehema Secondary School in Mathematics Exam. The total numbers of students were 100.
Find the standard deviation of the distribution.
Date posted: September 20, 2019. Answers (1)
- Solve the equation;(Solved)
Solve the equation;
Log (x2-8x+20) = Log 4 + Log (x-4)
Date posted: September 20, 2019. Answers (1)
- Find the matrix of transformation that would map triangle ABC with vertices at A(-5,2), B(-3,2) and
C(-3,5) onto triangle A1B1C1 with vertices at A1(-5,-2), B1(-3,-2)...(Solved)
Find the matrix of transformation that would map triangle ABC with vertices at A(-5,2), B(-3,2) and
C(-3,5) onto triangle A1B1C1 with vertices at A1(-5,-2), B1(-3,-2) and C1(-3,-5).
Date posted: September 20, 2019. Answers (1)
- Rationalize the following leaving your answer in the simplified surd form.(Solved)
Rationalize the following leaving your answer in the simplified surd form.
Date posted: September 20, 2019. Answers (1)
- If ? is an acute angle find the value of Cos ? in the panating:
4 Sin2?-5 Cos ?+2=0(Solved)
If θ is an acute angle find the value of Cos θ in the panating:
4 Sin2θ-5 Cos θ+2=0
Date posted: September 20, 2019. Answers (1)
- Give that x= 4 is a root of x2+kx-20=0. Find the value of k and thus other roots(Solved)
Give that x= 4 is a root of x2+kx-20=0. Find the value of k and thus other roots
Date posted: September 20, 2019. Answers (1)
- Copy and complete the table below for the function y=4+5x-x2 for -2=x=7(Solved)
Copy and complete the table below for the function y=4+5x-x2 for -2≤x≤7
Date posted: September 20, 2019. Answers (1)
- A supermarket is stocked with plates which come from two suppliers A and B. They are bought in the ratio of 3:5 respectively, 10% of...(Solved)
A supermarket is stocked with plates which come from two suppliers A and B. They are bought in the ratio of 3:5 respectively, 10% of plates from A are defective and 6% of the plates from B are defective.
(a) A plate is chosen by a buyer at random. Find the probability that;
(i) it is from A
(ii) it is from B and it is defective.
(iii) it is defective
(b) Two plates are chosen at random. Find the probability that:
(i) both are defective
(ii) at least one is not defective.
Date posted: September 20, 2019. Answers (1)
- The points X and Y are both on latitude 39oN. The longitude of X is 73oW and the longitude of Y is 18oW . Two...(Solved)
The points X and Y are both on latitude 39oN. The longitude of X is 73oW and the longitude of Y is 18oW . Two ships P and Q leave X at the same time and travel to Y along the line of latitude. The ships P and Q travel at constant speeds of 25km/hr and 20km/h respectively. Taking the radius of the earth to be 6371km and π= 22/7 ;Calculate:-
(a) The distance Q still has to travel when P reaches Y.
(b) At the same time a third ship R leaves Y traveling due west at an average speed of 15km/hr.
Calculate the longitude of the point at which R meets P.
Date posted: September 20, 2019. Answers (1)
- In a square PQRS, A is the mid-point of PQ and B is the mid-point of QR, while C is a point on BP such...(Solved)
In a square PQRS, A is the mid-point of PQ and B is the mid-point of QR, while C is a point on BP such that 2BC = 3CP. The co-ordinates of P, Q and S are (4,4), (14,4) and (4,14) respectively. Find:
(a) (i) the column vectors of PQ and PS.
(ii) co-ordinates of R
(b) Show that A, C, S are collinear.
Date posted: September 20, 2019. Answers (1)
- The nth term of a series is given by 3n+4.
(a) Write down the first four terms of the series.
(b) Find the sum of the first...(Solved)
The nth term of a series is given by 3n+4.
(a) Write down the first four terms of the series.
(b) Find the sum of the first twenty terms of the series.
(c) Find the 30th term.
(d) Show that the sum of the first n terms of the sequence is given by Sn=3/2n2+11/2n. Hence or otherwise, find the largest integral value of n such that Sn ≥130.
Date posted: September 20, 2019. Answers (1)
- Find the equation of the tangent to the circle x2+y2-8x+2y+7=0 at the point (3, 2). Give your answer in the form y=ax+b. (Solved)
Find the equation of the tangent to the circle x2+y2-8x+2y+7=0 at the point (3, 2). Give your answer in the form y=ax+b.
Date posted: September 19, 2019. Answers (1)
- Without using mathematical tables and calculators simplify:(Solved)
Without using mathematical tables and calculators simplify:
Date posted: September 19, 2019. Answers (1)