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Solve for x: 3(x – 1) ≤ 2 (x – 3)
Make x the subject of the formula: y = \(\frac {3x - 9c}{4x + 5d}\)
The area A of a circle is increasing at a constant rate of 1.5 cm\(^2s^{-1}\). Find, to 3 significant figures, the rate at which the radius r of the circle is increasing when the area of the circle is 2 cm\(^2\).
The interior angle of a regular polygon is five times the size of its exterior angle. Identify the polygon.
The population of a village decreased from 1,230 to 1,040 due to breakout of an epidemic. What is the percentage decrease in the population?
Evaluate \(\int_0^1 4x - 6\sqrt[3] {x^2}dx\)
Let '*' and '^' be two binary operations such that a * b = a\(^2\)b and a ^ b = 2a + b. Find (-4 * 2) ^ (7 * -1).
Evaluate: 16\(^{0.16}\) × 16\(^{0.04}\) × 2\(^{0.2}\)
How many different 8 letter words are possible using the letters of the word SYLLABUS?
8+0+2+1 = 11.
T5 = 3 + 4(5-1) = 3+16=19.
2x = 12 ?¸x=6.
C=2Îr = 2Î(22/7)Î14 = 88 cm.
d/dx of 3x¸is 6x, of 2x is 2.
6 outcomes give 7 out of 36 ?¸1/6.
Sum = (n-2)Î180 = 1080 ?¸n-2=6 ?¸n=8.
Expand: 2x - 6 = x + 5, so x = 11.
S = n/2(2a + (n-1)d) = 5(4 + 27) = 155.
Number of arrangements = 4! = 24.
Profit = 150. Percentage = (150/500) ¸100 = 30%.