A park ranger uses two drones to observe wildlife. After letting the drones hover at the same height for a while, she decreases the height of the first drone by 38 3
4

feet in order to take pictures. She also decreases the height of the second drone, but only by 20% of the decrease in height of the first drone.
Which THREE methods could be used to find the change in height, in feet, of the second drone?
A
Multiply −38
3
4

by 15.
B
Multiply −38.75 by 0.2.
C
Multiply −38 by 0.2. Then add 0.75.
D
Multiply −3834 by 110. Then multiply by 12.
E
Multiply −38 by 15. Then multiply −34 by 15. Add the products.

4a. is 3 miles every hour

4b. is 1/3 of an hour per mile

step-by-step explanation:

b) 1/3 * 1/5

step-by-step explanation:

each smallest part is 1/15 since the written one is 1/5 and it's divided by 3 equal parts. (1/5 )/3 = 1/15 = 1/3 * 1/5

step-by-step explanation:   divide the numerator by the denominator to get the decimal

it would still be 193

if divide by 100 then 1.93

i am not sure

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