Yes you could have three groups of 11 with no marbles left over.
Answer: 16.33 feet/s
Explanation:
1) Data:
a) circular motion
b) revolutions: 12 rpm
c) r = 15 feet
d) v = ?
2) Formulae:
angular velocity: ω = number of rpm × 2π / 60 seconds
linear velocity: v = ω × r
3) Solution:
ω = 12 × 2π / 60 s = 0.4π rad / s
v = 0.4π rad / s × 13 feet = 5,2 π feet / s ≈ 5,2 (3.14159) feet / s = 16.33 feet/s.
That is the answer.
Answer: See below
Step-by-step explanation:
(f+g)(x) is another way for saying f(x)+g(x). Since we know f(x) and g(x), we can add them together.
-5x-4+(-3x-2) [distribute the 1 to (-3x-2)]
-5x-4-3x-2 [combine like terms]
-8x-6
(f+g)(x) is -8x-6. You can also factor this.
1. Factoring
-2(4x+3)