Densities of Metal, a world-famous rock band, put on a show at an arena in Rome last night. The rectangular floor of the arena had an area of
32
,
000
m
2
32,000 m
2
32, comma, 000, start text, space, m, end text, squared and was packed shoulder to shoulder with fans.
The band wants to know how many people were at last night's show. They estimate that, on average, each person takes up a circular space with a diameter of
0.8
m
0.8 m0, point, 8, start text, space, m, end text. Since the floor was packed, they assume these circular spaces were tightly packed together in rows and columns.
Estimate how many people were at Densities of Metal's rock show based on their assumptions.

answer: all the values are within because it has a pattern that repeats from -6 to 4.

good luck!

maximum area = xy = (16)(32) = 512 ft2

to maximize the area of the garden, the side of the fence parallel to the side of the house should be 32 ft long, and the other two sides should both have length 16 ft.'

source

true

step-by-step explanation:

, and

for

step-by-step explanation:

we can analyze the pattern at which the terms increase. let us denote , , , so that we can call

note the following:

the pattern: to get the next term value, we just add the next term number (e.g. 1st, 2nd, to the previous term value (term values are the given numbers in the question, 1, 3, 6, 10, 15,

from , to get to , we add

from , to get to , we add

etc.

we need to form a recursive formula, a formula that has the next term as a function of the previous term. so a possible recursive formula can be

, and for