x³ + 1/x³ = (x + 1/x)³ − 3(x + 1/x)
= 3³ − 3×3
= 27 − 9
= 18
tan A + tan B = √2 + 1
We know:
81 = 3⁴
So,
log₃ 81 = log₃ (3⁴) = 4
When two dice are rolled, there are 36 possible outcomes
The outcomes that result in a sum of 7 are (1,6), (2,5), (3,4), (4,3), (5,2), and (6,1), which are 6 in total.
So, the probability of getting a sum of 7 is 6/36 = 1/6.
In the essay "The Man Who Was a Hospital" by Jerome K. Jerome,
the first disease the writer discovers he is suffering from is hay fever.
Leading zeros (before the first non-zero digit) are not significant.
In 0.000801, the digits 8, 0, and 1 are significant.
So, it has 3 significant figures
Realizes (خزانہ)
In "Visit to a Small Planet" by Gore Vidal, the character Kreton says that he "picks up things."
This indicates that he absorbs or learns information quickly, implying he can understand or acquire knowledge about his surroundings.
In a Geometric Progression, the nth term is given by:
Tn=a×r^n−1
Where:
a = first term
r = common ratio
n = term number
Aₙ = a + n × d, where d = common difference
Here, A₁ = a + d, A₂ = a + 2d, ..., b = a + (n+1)d
Aₙ = a + n × [(b − a)/(n + 1)]
The continuity equation in fluid dynamics states that the product of cross-sectional area and velocity remains constant for incompressible fluids.
So, in deeper (wider) parts of a river or pipe, the velocity of water is lower — hence the phrase:
"Deep water runs still."