solution:
We are going to use this property: P(A U B) = P(A) + P(B) – P(AB)
First we treat (A U B) as one event as follows:
P( (A U B) U C) = P( A U B ) + P(C) – P((A U B)C)
= P( A U B ) + P(C) – P(AC U BC)
= P(A) + P(B) – P(AB) + P(C) – P(C) – P(AC U BC )
=P(A) + P(B) – P(AB) + P(C) –P(AC) – P(BC) + P(ABC)
= P(A) + P(B) + P(C) – P(AB) – P(AC) – (BC) + P(ABC)
Step-by-step explanation:
(i) Sum the forces at point M in the x direction.
∑F = ma
-T sin 30° − T sin 30° + 5 N = 0
2T sin 30° = 5 N
T = 5 N
(ii) Sum the forces on the ring in the x direction.
∑F = ma
T sin 30° − N = 0
N = 2.5 N
Sum the forces on the ring in the y direction.
∑F = ma
T cos 30° − mg − Nμ = 0
Nμ = T cos 30° − mg
2.5 μ = 5 cos 30° − 2
μ = 0.932
(iii) Sum the forces on the ring in the y direction.
∑F = ma
T cos 30° − m₁g − m₂g + Nμ = 0
m₂g = T cos 30° − m₁g + Nμ
m (10) = 5 cos 30° − 2 + (2.5)(0.932)
m = 0.466 kg
Answer:
8r + 9p
Step-by-step explanation:
Combine like terms. Like terms are terms with the same variables as well as the same amount of said variable.
In this case, combine 12p with -3p
8r + 12p - 3p
8r + (12p - 3p)
8r + 9p
8r + 9p is your answer.
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Answer:
1360.78 grams
Step-by-step explanation:
30 * 20,000 = 600,000
30 * 500 = 15,000
615,000
Sorry if this is incorrect! Goodluck:)
