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- The curve y=ax3 - 3x2 - 2x+1 has the gradient 7 when x=1,Find the value of a.
The curve y=ax3 - 3x2 - 2x+1 has the gradient 7 when x=1,Find the value of a.
Date posted: February 20, 2019
- Use the expansion (1-x)5 upto the term with x3 to approximate the value of (0.98)5
Use the expansion (1-x)5 upto the term with x3 to approximate the value of (0.98)5
Date posted: February 20, 2019
- The equation of a circle is given by x2 + 4x + y2 - 2y - 4=0.Determine the centre and the radius of the circle.
The equation of a circle is given by x2 + 4x + y2 - 2y - 4=0.Determine the centre and the radius of the circle.
Date posted: February 20, 2019
- Two numbers p and q are such that p3 x q =189, Find p and q.
Two numbers p and q are such that p3 x q =189, Find p and q.
Date posted: February 20, 2019
- Find the number of women required to join the committee so that the ratio of men:women is changed to 5:4.
In a fundraising committee of 45 people,the ratio of men:women is 7:2.Find the number of women required to join the committee so that the ratio of men:women is changed to 5:4.
Date posted: February 20, 2019
- A bus takes 195 minutes to travel a distance of (2x+30)km at an average speed of (x-20)km/h. Calculate the actual distance traveled.
A bus takes 195 minutes to travel a distance of (2x+30)km at an average speed of (x-20)km/h. Calculate the actual distance traveled. Give your answer in kilometers.
Date posted: February 20, 2019
- The production of milk in litres of 14 cows on a certain day was recorded as follows
The production of milk in litres of 14 cows on a certain day was recorded as follows 22,26,15,19,20,16,27,15,19,22,21,
20,22 and 28.Determine:
a)the mode
b)the median
Date posted: February 20, 2019
- Given that $OA =\begin{Bmatrix}2\\3\\ \end{Bmatrix}$ and $OA = \begin{Bmatrix}-4\\5\\ \end{Bmatrix}$.Find the midpoint m of AB.
Given that $OA =\begin{Bmatrix}2\\3\\ \end{Bmatrix}$ and $OA = \begin{Bmatrix}-4\\5\\ \end{Bmatrix}$.Find the midpoint m of AB.
Date posted: February 20, 2019
- Solve for x in 2x2 + x - 36 = 0
Solve for x in 2x2 + x - 36 = 0
Date posted: February 20, 2019
- Given that sin $\alpha = \frac {2}{3} $. Find tan $\alpha$,leave your answer in surd form
Given that sin $\alpha = \frac {2}{3} $. Find tan $\alpha$,leave your answer in surd form
Date posted: February 20, 2019
- Without using logarithm tables,find the value of x;
Without using logarithm tables,find the value of x;
Log x3 + log 5x = 5log 2 – log $\frac{2}{5}$
Date posted: February 20, 2019
- The cash price of a television set is Ksh 25,000. A customer paid a deposit of Ksh 3,750. He repaid the amount owing in 24 equal monthly installments.
The cash price of a television set is Ksh 25,000. A customer paid a deposit of Ksh 3,750. He repaid the amount owing in 24 equal monthly installments. If was charged simple interest at the rate of 40% p.a,how much was each installment?
Date posted: February 20, 2019
- Make x the subject of the formula $S=w\sqrt{a^2 - x^2}$
Make x the subject of the formula $S=w\sqrt{a^2 - x^2}$
Date posted: February 21, 2019
- Two matrices A and B are such that A=$\begin{bmatrix}k&4\\3&2\\ \end{bmatrix}$ and B= $\begin{bmatrix}1&2\\3&4\\ \end{bmatrix}$. Given that the determinant of AB=4,find the value of k.
Two matrices A and B are such that A=$\begin{bmatrix}k&4\\3&2\\ \end{bmatrix}$ and B= $\begin{bmatrix}1&2\\3&4\\ \end{bmatrix}$. Given that the determinant of AB=4,find the value of k.
Date posted: February 21, 2019
- The sum of the first n terms of the sequence 3,9,15,21…is 7500. Find the value of n
The sum of the first n terms of the sequence 3,9,15,21…is 7500. Find the value of n.
Date posted: February 21, 2019
- In shooting practice three soldiers A,B and C aim at target.The probabilities of A,B and C hitting the target are
In shooting practice three soldiers A,B and C aim at target.The probabilities of A,B and C hitting the target are $\frac{1}{3}$, $\frac{1}{4}$ and $\frac{1}{2}$ respectively.If each soldier shot at the target only once,one after the other. What is the probability that the target was hit only once?
Date posted: February 21, 2019
- Given that the ratio x:y =2:3,find the ratio (5x-2y):(x+y)
Given that the ratio x:y =2:3,find the ratio (5x-2y):(x+y).
Date posted: February 21, 2019
- Use differentiation to find x coordinate of the maximum point for the curve. Y=x3+2x2-4x-8
Use differentiation to find x coordinate of the maximum point for the curve.
Y=x3+2x2-4x-8
Date posted: February 21, 2019
- The point A(5,2) undergoes the transformation $\begin{bmatrix}3&2\\-1&0\\ \end{bmatrix}$ followed by a translation $\begin{pmatrix}-6\\11\\ \end{pmatrix}$.Determine the coordinates of the image.
The point A(5,2) undergoes the transformation $\begin{bmatrix}3&2\\-1&0\\ \end{bmatrix}$ followed by a translation $\begin{pmatrix}-6\\11\\ \end{pmatrix}$.Determine the coordinates of the image.
Date posted: February 23, 2019
- A salesman sold a new motor cycle at sh.24,000.The depreciation rate was 5% per annum
A salesman sold a new motor cycle at sh.24,000.The depreciation rate was 5% per annum.What was the value of the motor cycle after 3 years?
Date posted: February 23, 2019