Given that (3x + 4y + 6 = 0) and (4x – by + 3…
Given that (3x + 4y + 6 = 0) and (4x – by + 3 = 0) are…
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If (frac{1}{5^{-y}} = 25(5^{4-2y})), find the value of y.
If (frac{1}{5^{-y}} = 25(5^{4-2y})), find the value of y. A. 4 B. 2 C. -4 D. -5 Correct…
Simplify: ((1 – sin theta)(1 + sin theta)).
Simplify: ((1 – sin theta)(1 + sin theta)). A. (sin^{2} theta) B. (sec^{2} theta) C. (tan^{2} theta) D.…
Forces of magnitude 8N and 5N act on a body as shown above. Calculate, correct…
Forces of magnitude 8N and 5N act on a body as shown above. Calculate, correct to 2 d.p.,…
The sum, (S_{n}), of a sequence is given by (S_{n} = 2n^{2} – 5). Find…
The sum, (S_{n}), of a sequence is given by (S_{n} = 2n^{2} – 5). Find the 6th term.…
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…
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). …
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} =…
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…
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.…