One pump can empty a pool in 5 days, whereas a second pump can empty the pool in 7 days. How long will it take two pumps, working together, to empty the pool?
A flower pot with a mass of 3.8kg is hanging by 2 wires that make an angle of 48° from the horizontal. what is the tension in each wire
A flower pot with a mass of 3.8kg is hanging by 2 wires that make an angle of 48° from the horizontal. what is the tension in each wire?
When the function f(x) is equal to 2xn + ax2 - 6 is divided by (x-1), the reminder is -7 and when divided by (x+3), the reminder is 129. Calculate the value of "a" and "n" and hence write the polynomial function completely.
Calculate the arc length that subtends an angle of 55 degree at the centre of a circle with radius r = 5cm.
The relationship between the vertical height and the horizontal distance of a ball thrown at 45 degree is given by the equation y = x - x^2/50, where y is the vertical height and x is the horizontal distance. (a) Find the maximum vertical height reached. (b) Find the horizonta...
The length of a rectangle is 10cm greater than its width. The perimeter of the rectangle is 1m. Find the simplest expression for the perimeter if the width is x.
Find dy/dx if y = 1/8.
Does the parabola y = -3x^2 + 2x - 1 have a maximum or minimum value?
Find the line that is perpendicular to y = -3/4 x + 2 and passes through (3,4).