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A 24N force acts on a body such that it changes its velocity from 5m/s…

A 24N force acts on a body such that it changes its velocity from 5m/s to 9m/s in…
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If (2sin^{2} theta = 1 + cos theta, 0° leq theta leq 90°), find the…

If (2sin^{2} theta = 1 + cos theta, 0° leq theta leq 90°), find the value of (theta). …
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In calculating the mean of 8 numbers, a boy mistakenly used 17 instead of 25…

In calculating the mean of 8 numbers, a boy mistakenly used 17 instead of 25 as one of…
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Simplify: (^{n}C_{r} ÷ ^{n}C_{r-1})

Simplify: (^{n}C_{r} ÷ ^{n}C_{r-1}) A. (frac{n(n-r)}{r}) B. (frac{n}{r(n-r)}) C. (frac{1}{r(n-r)}) D. (frac{n+1-r}{r}) Correct Answer: Option D Explanation (^{n}C_{r} =…
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Four fair coins are tossed once. Calculate the probability of having equal heads and tails.

Four fair coins are tossed once. Calculate the probability of having equal heads and tails. A. (frac{1}{4}) B.…
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Given that (y = 4 – 9x) and (Delta x = 0.1), calculate (Delta y).

Given that (y = 4 – 9x) and (Delta x = 0.1), calculate (Delta y). A. 9.0 B.…
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A particle starts from rest and moves in a straight line such that its acceleration…

A particle starts from rest and moves in a straight line such that its acceleration after t seconds…
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Find (int frac{x^{3} + 5x + 1}{x^{3}} mathrm {d} x)

Find (int frac{x^{3} + 5x + 1}{x^{3}} mathrm {d} x) A. (x^{2} + 10x + c) B. (x…
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If (begin{vmatrix}  1+2x & -1 \ 6 & 3-x end{vmatrix} = -3 ), find the…

If (begin{vmatrix}  1+2x & -1 \ 6 & 3-x end{vmatrix} = -3 ), find the values of x.…
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Each of the 90 students in a class speak at least Igbo or Hausa. If…

Each of the 90 students in a class speak at least Igbo or Hausa. If 56 students speak…
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    If cos (theta) = x and sin 60o = x + 0.5 0o If cos (theta) = x and sin 60o = x + 0.5 0oo, find, correct to the nearest degree, the value of (theta) A. 32o B. 40o C. 60o D. 69o Correct Answer: Option D Explanation sin 60o = x + 0.5 0o(given) 0.8660 = x + 0.5 0.8660 – 0.5 = x x = 0.3660 cos(theta) = x(given) cos(theta) = 0.3660 Hence, (theta) = cos-1(0.3660) = 68.53o = 69o (nearest degree) `, props: [‘comment’], data() { return {} }, methods: {} }) {{ reply.posted_by.display_name }}:   {{ reply.created_at }}
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