Unit squares are arranged to form a rectangular grid that is m units wide and n units tall, where m and n are

positive integers with 2n < m < 3n. The region below

one of the diagonals of the rectangle is shaded as shown.

For certain pairs m and n, there is a unit square in the

grid that is not completely shaded but whose shaded area

is greater than 0.999. The smallest possible value of mn

for which this is true satisfies

(A) 496 ≤ mn ≤ 500

(B) 501 ≤ mn ≤ 505

(C) 506 ≤ mn ≤ 510

(D) 511 ≤ mn ≤ 515

(E) 516 ≤ mn ≤ 520

An airplane consumes fuel at a constant rate while flying through clear skies, and it consumes fuel at a rate of 64 gallons per minute while flying through rain clouds. let c represent the number of minutes the plane can fly through clear skies and r represent the number of minutes the plane can fly through rain clouds without consuming all of its fuel. 56c+64r < 900056c+64r< 9000 according to the inequality, at what rate does the airplane consume fuel while flying through clear skies, and how much fuel does it have before takeoff? the airplane consumes fuel at a rate of gallons per minute while flying through clear skies, and it has gallons of fuel before takeoff. does the airplane have enough fuel to fly for 60 minutes through clear skies and 90 minutes through rain clouds?

Can you me find the missing length. i attached an image.

The functions f(x) and g(x) are shown in the graph f(x)=x^2 what is g(x) ?