Across a horizontal distance of 25 feet, a roller coaster has a steep drop. the height of the roller coaster at the bottom of the drop is -125 feet, compared to its height at the top of the drop. what is the average amount that the roller coaster's height changes over each horizontal foot?

X = total horizontal distance = 25 ft

Y = total vertical distance = 125 ft

x = horizontal distance = 1 ft

y = vertical distance = ?

using the equation

y = (Y/X) (x)

inserting the values

y = (125/25) (1)

y = 5 ft

hence for each horizontal foot, the average height change is 5 ft

or

25 ft horizontal distance traveled = 125 ft vertical distance dropped

dividing both side by 25

25 ft horizontal distance traveled/25 = 125 ft vertical distance dropped/25

1 foot horizontal distance traveled = 25 ft vertical distance dropped

the temperature in kelvin of 2.0 dm3 of an ideal gas is doubled and its pressure is increased by a factor of four. what is the final volume of the gas

find the surface area of the sphere to the nearest square unit. use a calculator.

a. 254 in.2

b. 64 in.2

c. 127 in.2

d. 1,018 in.2