Answer:

Step-by-step explanation:
From the question we are told that
Arc of 30 cm
10% reduction after each swing
Generally sum of geometric sequence is given by the equation

Mathematically solving for total distance traveled we have


Therefore the total distance traveled by the pendulum after 5 swings

Answer:
(-2, ∞)
Step-by-step explanation:
A function is "increasing" when its graph goes up to the right, the slope is positive. At a turning point (maximum or minimum), the function is neither increasing nor decreasing.
<h3>Increasing interval</h3>
The graph has a minimum at x = -2. To the left of that point, the graph goes up to the left, which is the same as down to the right (decreasing).
To the right of x = -2, the graph goes up to the right (increasing). It continues to increase for all values of x > 2. The interval where the function is increasing is said to be ...
-2 < x < ∞
The lack of "or equal to" tells you the interval is "open" and is delimited by parentheses in interval notation:
increasing; (-2, ∞)
Ok listen close. Put 538 on top and 046 on the bottom. Line them up so you don't get confused. don't forget it's multiplication. Start from right to left. Your going to have to cancel out each of the bottom numbers. Cool. Now here's the equation. multiply 8x6. it's 48. put the 8 under the 6 and the 4 small up by the 3 in the 538. That's a remainder. Now it's time for the 3x6 with the remainder of 4. it's 18. now add the remainder to 18. 4+18=22. Put the single 2 next to the other answer just to the left. It should look like blankspacebecauseequationisn'tdone 28. Now Put the remainder (2) small right by the 5 in 538. Next is 5x6 with the remainder. It's 30+remainder of 1= 31 put both those numbers down next to the 28 answer space. It's now 3,128. Now this is where it gets tricky. put a 0 DIRECTLY BELOW the 8 in 3,128. This is for an equation later. Now you worked through the 6 part of 46, now you only have the 4 to work through. Now let's work through 8x4. it's 32. put the 2 right next to the 0 in the answer part. Put the remainder next to the 3 in 538. Now it's 3x4 +the remainder of 3. It's 12+ 3 + 15. Put the 5next to the 20 in the answer section under 3,128. It should look like blablabla 520. Now let's work out 5x4 With the remainder of 1 from the 15. It's 20 + 1= 21. Put the 21 right next to 520. It should look like 21,520. Now to finish this equation, add the top number 03,128 and the bottom number 21,520. Here if it's easier the equation. 03,128+21,520 which equals 24,748. Hope that helped!