The distance(s) in metres covered by a particle in motion at any time, tseconds, is given by S =120t - 16t\(^2\).Find in metres, the distance covered by the body before coming to rest.
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2020
A bag contains 5 red and 5 blue identical balls. Three balls are selected at random without replacement. Determine the probability of selecting balls alternating in color.
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2020
The variables x and y are such that y =2x\(^3\) - 2x\(^2\) - 5x + 5. Calculate the corresponding change in y and x changes from2.00 to 2.05.
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2020
A three-digit odd number less than 500 is to be formed from 1,2,3,4 and 5. If repetition of digits is allowed, in how many ways can this be done?
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2020
Calculate the variance of \(\sqrt{2}\), (1 + \(\sqrt{2}\)) and (2 + \(\sqrt{2}\))
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2020
A force of 230N acts in its direction065\(^o\). Find its horizontal component.
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2020
In what interval is the function f : x -> 2x - x\(^2\) increasing?
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2020
A function f defined by f : x -> x\(^2\) + px + q is such that f(3) = 6 and f(3) = 0. Find the value of q.
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2020
Which of the following is not an equation of a circle?
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2020
In how many ways can the letters of the word MEMBER be arranged?
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2020
Calculate, correct to two decimal places, the area enclosed by the line 3x - 5y + 4 = 0 and the axes.
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2020
A circle with centre (5,-4) passes through the point (5, 0). Find its equation.
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2020
Find the nth term of the linear sequence (A.P) (5y + 1), (2y + 1), (1- y),...
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2020
If the binomial expansion of (1 + 3x)\(^6\) is used to evaluate (0.97)\(^6\), find the value of x.
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2020
In which of the following series can be the formula S = \(\frac{a}{1 - r}\)where a is the firstterm and r is the common ratio, be used to find the sum of all the terms?
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2020
A stone was dropped from the top of a building 40m high. Find, correct to one decimal place, the time ittook the stone to reach the ground. [Take g = 9.8ms\(^{-2}\)]
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2020
Given that F = 3i - 12j, R = 7i + 5j and N = pi + qj are forces acting on a body, if the body is in equilibrium. find the values of p and q.
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2020
Find the angle between i +5j and 5i - J
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2020
Calculate the probability that the product of two numbers selected at random with replacement from the set {-5,-2,4, 8} is positive
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2020
Find the median of the numbers 9,7, 5, 2, 12,9,9, 2, 10, 10, and 18.