24 kg
Step-by-step explanation:
You start by calculating the linear mass density of the rod:
d = m/L = (40 kg)/(5 m) = 8 kg/m
So for a 3-m long bar, the mass can be calculated as follows:
m = d×L = (8 kg/m)(3 m) = 24 kg
The sequence is geometric. The infinite series does converge.
Note how dividing any given term by the previous one leads to the same result
-8/12 = -2/3
(16/3) divided by -8 = -2/3
and so on...
So the common ratio is r = -2/3. This proves the sequence is geometric.
Since |r| < 1 is true, this means the infinite series converges to some fixed number.<span />
There is a formula for Sum of interior angles of a polygon:

This figure has 7 sides, n = 7

Add up all the given angles,
Subtract from 900,
This will give you value of x.
We are asked to check which among the choices with given set of points satisfy the inequality
y > x +2y < 2x +3
The answer is "None" of the given choices satisfy the linear inequality. Each choice has a point (2,2) which dissatisfy the equation.
y > x +2y <2x+3
2 > 2+2(2) < 2(2)+3
2> 6 <7
Answer:i took the test
Step-by-step explanation: 76879686