Answer:
a) 3 inch pulley: 11,309.7 radians/min
6) 6 inch pulley: 5654.7 radians/min
b) 900 RPM (revolutions per minute)
Step-by-step explanation:
Hi!
When a pulley wirh radius R rotantes an angle θ, the arc length travelled by a point on its rim is Rθ. Then the tangential speed V is related to angular speed ω as:
When you connect two pulleys with a belt, if the belt doesn't slip, each point of the belt has the same speed as each point in the rim of both pulleys: Then, both pulleys have the same tangential speed:
We need to convert RPM to radias per minute. One revolution is 2π radians, then:
The saw rotates with the same angular speed as the 6 inch pulley: 900RPM
Answer:
<u><em>16ex+1</em></u>
Step-by-step explanation:
<u>Remove parentheses: (e) = e</u>
= <em>8e2x+1</em>
<u>Multiply the numbers: 8 x 2 = 16</u>
<em>=16ex+1</em>
Step-by-step explanation:
y = ax + b
I see already the result (y = x/10 × 1/6), but let's go in formally.
we have multiple function points to use to officially calculate a and b.
1/6 = a×10 + b
2/3 = a×40 + b
5/6 = a×50 + b
1 2/3 = a×100 + b
let's e.g subtract equation 1 from equation 3.
4/6 = a×40 + 0
a = 4/40 / 6 = 4 / 240 = 1/60
1/6 = 10/60 + b
1/6 = 1/6 + b
b = 0
so, the function is
y = x/60
x = 25
y = 25/60 = 5/12 cups
Answer:
16 4/5
Step-by-step explanation:
1. Divide 5 3/5 by 2 (2 4/5)
2. Multiply 2 4/5 by 2 and multiply 5 3/5 by 2 (5 3/5) (11 1/5)
3. Add them together (16 4/5)
Answer:
The Markov chain is a description of the sequence of possible events in which the probability of an event depends only on the state attained in a previous separate event.
Step-by-step explanation:
The relation described by the Markov chain satisfies the following conditions:
1. All states communicate with themselves, that is P₁₁⁰ = 1 ≥ 0
2. There must be symmetry: if i←→j, then j ←→i
3. There must be transitivity. That is if i ←→k and k←→j, then i←→j
The conditions above imply that the communication is an example of an equivalence relation, meaning that it shares the properties with the more familiar relation, that is
i = i , if i = j ,then j = i etc
