Answer:
The linear speed of the bike is 19.242 miles per hour.
Step-by-step explanation:
If sliding between the bottom of the wheel and ground can be neglected, the motion of the wheel can be well described by rolling, which is a superposition of coplanar pure rotation and translation, The speed of the bike occurs at the center of the wheel, where resulting instantaneous motion is pure translation parallel to ground orientation. The magnitude of the speed of bike (), measured in inches per second, is:
Where:
- Radius, measured in inches.
- Angular speed, measured in radians per second.
Now, the angular speed must be converted from revolutions per minute into radians per second:
The speed of the bike is: ( and )
Lastly, the outcome is converted into miles per hour:
The linear speed of the bike is 19.242 miles per hour.
Answer:
As x increases, y decreases and then increases
Step-by-step explanation:
You need only understand your own description of the graph:
begins above the x-axis, extends below the x-axis, and ascends above the x-axis
This is a description of <em>decreasing</em>, then <em>increasing</em>:
As x increases, y decreases and then increases
240 + .15m = 360
subtract 240 from each side
.15m = 120
divide by .15 on each side
m =800
you can travel 800 miles
Answer:
Lucy: 10
Daniel: 37
Step-by-step explanation:
Let Daniel's age be d, and Lucy's age be l.
We can set up a system of equations.
d = 7 + 3l
2d-5l = 24
We can subsitute the value of d from the first equation into the second equation.
2*(7+3l)-5l = 24
Distribute:
14 + 6l - 5l = 24
Combine like terms:
l = 10
Plug this value back into the first equation:
d = 7 + 3*10
d = 37
B. 7/8 because there is 4 green and 3 red and when added up they are 7 which leaves only the yellow which is one out of the probability.