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:
Step-by-step explanation:
we know that
The surface area of a rectangular prism is equal to the area of its six rectangular faces
using the net
The surface area is equal to
![SA=2[(16)(6)]+2[(16)(8)]+2[(8)(6)]](https://tex.z-dn.net/?f=SA%3D2%5B%2816%29%286%29%5D%2B2%5B%2816%29%288%29%5D%2B2%5B%288%29%286%29%5D)
Convert the mixed number <span>21 <span>2/3</span></span><span> into an </span><span>improper fraction.
</span>15⋅<span>65/3
</span><span>Cancel 3 and 15.
</span><span>5⋅65
</span>Multiply 5<span> by </span>65<span> to get </span><span>325.
</span>325
Answer:
325
Answer:
All real numbers
Step-by-step explanation:
To find the range of the function 
draw the graph of ths function (see attached diagram for details).
Since the base of the logarithm is 
the graph is increasing and passes through the point (1,0).
The domain of this function is
The range of this function is
or all real numbers.
