Answer: 8r+5t
Step-by-step explanation:
8t + 6r - 3t + 2r
8t-3t= 5t
6r+2r=8r
= 8r+5t
Answer:
Same angular velocity
Same angular acceleration
Point 1 has greater tangential speed
Point 1 has greater tangential acceleration
Point 1 has greater centripetal acceleration
Step-by-step explanation:
Since both points are located on the rigid wheel, their angular velocity and acceleration must be the same for all point located on the wheel.
The tangential quantities, however, would depend on how far they are from the axis of rotation:



where
are the angular velocity and acceleration, respectively, which is the same for 2 points. R is the radius of rotation. In this case point 1 has a larger radius since it lies on the rim and point 2 is only half way between.
Therefore, tangential speed, acceleration and centripetal acceleration of point 1 is larger than point 2.
Answer:
The probability that at least two homeowners will set their switches to the same code is 100%.
Step-by-step explanation:
Consider the provided information.
The total number of code can be set with 0 or 1 is:
2×2×2×2×2×2×2=128
There are 128 different codes.
The probability that code is unique is 1/128
Now, the probability that all codes are unique is:
![[\frac{1}{128}]^{150}](https://tex.z-dn.net/?f=%5B%5Cfrac%7B1%7D%7B128%7D%5D%5E%7B150%7D)
Hence, the probability that all the codes are not unique is:
![1-[\frac{1}{128}]^{150} \approx 1](https://tex.z-dn.net/?f=1-%5B%5Cfrac%7B1%7D%7B128%7D%5D%5E%7B150%7D%20%5Capprox%201)
Because the value of
is very small
As they can set 128 different codes and there are 150 homes. So, at least two homeowners will set their switches to the same code is 100%.
Hence, the probability that at least two homeowners will set their switches to the same code is 100%.