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J0011+3217 is a radio galaxy, a type of galaxy that emits large amounts of radio waves, discovered using the LOFAR telescope.
Find the simplified value of the expression:
32 + 12 x 108 ÷ 12 + 4 + 32 ÷ 16 x 3
If sin⁶ x + cos⁶ x = 7/8, find sin⁴ x + cos⁴ x:
The ratio of three numbers is 7:2:5, and their squared values add up to 1248. Identify the largest number among them.
If a and b are whole numbers such that ab = 169, find the value of (a-3)(b+2).
A cylindrical water tank has a height of 12 meters and a radius of 3 meters. How many liters of water can the tank hold? (Use π = 3.14 and 1 cubic mete...
A jar initially contains 100 liters of alcohol. First, 25 liters of alcohol are stolen and replaced with water. Then, a second person takes 10 liters of...
If sin(3θ) = cos(2θ), find θ.
A person has ₹5000. He invests 40% of it in scheme A at 8% per annum and the remaining in scheme B at 10% per annum. What is the total interest earned...
The height of a solid cylinder is 30 cm and the diameter of its base is 10 cm. Two identical conical holes each of radius 5 cm and height 12 cm are dril...
