You and your next-door neighbor's homes are connected by a 2.5 meter long extended clothesline (a string that hangs between two buildings used to place clothing on) with each side ending on your homes, specifically your bedroom windows. Your friend thinks it would be interesting to use the clothesline as a way of transporting things from his room to your room. So, he tries an experiment where he attaches a shirt on the rope 0.2 meters from his window. Then, he disturbs the rope so that a transverse pulse is generated along the rope that travels along the entire rope. The wave pulse travels for 3 seconds before reaching your bedroom window. a. Make a labeled sketch of the rope at some point while the disturbance is passing through the shirt's position.
b. Will his plan be successful in getting the shirt from its position to your bedroom window? Explain.
c. How fast is the wave pulse traveling? SHOW ALL WORK.

where are the images of the functions i can only see the question you typed.

step-by-step explanation:

step-by-step explanation:

part a. the differences are decreasing, so we know the sequence is not arithmetic. the ratios are constant (=3/4), so we know the sequence is geometric.

part b. from part a, we know the common ratio is 3/4, so each term is 3/4 of the one before. the initial term is the number of gallons at h=1.

g[h] = (3/4)·g[h-1]

g[1] = 384 . . . . initial value required for a recursive definition

part c. the general formula for a geometric sequence is

a[n] = a[1]·r^(n-1)

we have a[1] = 384, r = 3/4, and the term number given by h. the formula that follows is

g[h] = 384·(3/4)^(h-1)

part d. filling in the value and doing the arithmetic, we have

g[12] = 384·(3/4)^11 ≈ 384·0.042235136 ≈ 16.2183 . . gallons

part e. each gallon is 4 quarts, so

16.2183 gal × 4 qt/gal = 64.8732 qt

look in attachments

step-by-step explanation:

a = (-2, 0)

b= (-4, 0)

c = (-5,2)

d = (-1,2)