Which estimate best describes the area under the curve in square units? 20 units² 25 units² 35 units² 40 units²

The answer is 20 units².

Step-by-step explanation:

To determine the best estimate for the area under the curve we can use the area of boxes concept. It means we can estimate it by adding the area of the boxes .

It is easier to find the area of boxes as they are forming a rectangle .

Notice that

the length of the shaded area is 4 units (from 0.5 to 4.5)

Similarly the width of the shaded area is roughly 5 units (0 to 5)

we know that the area of a rectangle is length times width .

Rectangle because the boxes are roughly forming a rectangle with  l = 4 and w = 5

so area = 4·5

Area = 20 units ^2

arithmetic sequence

step-by-step explanation:

given that a sequence has terms as

19, 15, 11,

this is represented on a graph

the pattern indicates that the sequence is an arithmetic sequence with i term

a=19 and common difference d =-4

any general term

thus the sequence is reduced by 4 for each successive term starting from 1 and nth term is

24-5n.

first negative term would start after 5th term

5th term =24-25< 0

from 5th term onwards the sequence would be negative.

my answer is$ 12

step-by-step explanation:

because 15 -2=12