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An airplane flies 600 miles with the wind in 2 hours. Against the wind, it flies 480 miles in 3 hours. What is the planes speed in still air?
Question: A cosmic radiation model is described by a cubic polynomial $ k(x) $ satisfying $ k(1) = -3 $, $ k(2) = 5 $, $ k(3) = 15 $, and $ k(4) = 30 $. Find $ k(0) $.
Equation 2 - Equation 1: $ 7a + 3b + c = 8 $.
Equation 3 - Equation 2: $ 19a + 5b + c = 10 $.
Equation 4 - Equation 3: $ 37a + 7b + c = 15 $.
A circle has a radius that is half the length of the side of a square. If the area of the square is 64 square meters, what is the circumference of the circle?
A triangle has sides of lengths 7 cm, 24 cm, and 25 cm. Is this triangle a right triangle? If so, what is its area?
A cylindrical tank has a height of 10 meters and a diameter of 6 meters. What is its volume?
A box contains 5 red, 4 blue, and 3 green balls. If two balls are drawn at random, what is the probability that both are red?
A researcher measured the growth of a bacteria culture over several days. On Day 1, the culture had 150 cells, and the number of cells doubled every day. How many cells were there at the end of Day 5?
