$$ if \ {1\over x}+x=4,$$ then find $${1\over x^2}+x^2$$

A hemispherical bowl of internal radius 18 cm is full of liquid. This liquid is to be filled in cylindrical bottles each of radius 3 cm and height 6 cm. How many bottles are required to empty the bowl

A spherical metallic shell with 6 cm external radius weighs 6688 g. What is the thickness of the shell if the density of metal is 10.5 g per cm3? (Take л = 22/7)

If $${8+2\sqrt{3} \over 3\sqrt{3}+5}=a\sqrt{3}-b$$, then the value of a+b is equal to:

If x + y + 3 = 0 , then find the value of x³+y³-9xy+9.

An article is listed at ₹ 7,600 and the discount offered unit is 10%. What additional discount must be given to bring the net selling price to ₹5,814?

Directions: Study the following information carefully and answer the questions given below.
 In the table, the percentage of shirts (formal and casual) sold out of the total number of shirts sold in the week and the number of casual shirts sold data related to the number of shirts sold on ve weekdays – Monday, Tuesday, Wednesday, Thursday and Friday are given.

 Total number of shirts sold in the week = x Note: Total number of shirts sold on Saturday and Sunday together = 72

What is the sum of the formal shirts sold on Monday, Tuesday and Wednesday together?

Applied to a bill for ₹ 1,00,000 the difference between a discount of 40% and two successive discounts of 36% and 4% is: