The pendulum swings at an arc of 30 cm and its successive swings reduced to 10% of the previous swings. What is the total distance travelled by the pendulum after 5 swings? This problem is an example of what sequence?

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

picture below

walter needs to make at least 5 more cookies but no more than 40. 5 ≥ x ≥ 40;

step-by-step explanation:

walter has to make a minimum of 20 cookies. he already has 15 cookies made, so he must make 5 more to meet the minimum.

the maximum amount of cookies he can make is 55. he already has 15, so he has to make no more than 40 more cookies to meet the maximum.