Answer:
16.86 ft/s
Step-by-step explanation:
Given that
Speed of the carousel, s = 14 rpm
Distance from the carousel, d = 23 ft
To start with, we convert the given speed to revolution per second, so that
s = 14/60 rev/sec
To find the needed speed, we use the formula
v =2πnR, remember that Diameter = 2R, so we substitute D for 2R and get πnD
v = πnD, and we use this to find our needed velocity
v = 3.142 * 14/60 * 23
v = 72.266 * 14/60
v = 16.86 ft/s
Therefore the boy must run at a speed of 16.86 ft/s in order to be able to match the carousel and jump on it
Answer:
Option A is the correct answer
Step-by-step explanation:
A. The difference of twice the cube of a number and 11
Y = a (b^x)
1) x = 0, y = 3500
=> 3500 = a (b^0)
=> 3500 = a (1)
=> a = 3500
2) growth percent = 3.5% => growth rate = 1.035 = b
=> y = 3500 (1.035)^ x
3) year 2020 => x = 2020 - 2000 = 20
4) y = 3500 (1.035)^ 20 = 6964
Answer: 6964.
