Arianna and hannah are conducting an experiment to test the difference threshold for sense of
touch on the forehead. for trial 1. hannah closes her eyes while arianna gently touches 2
paperclip points 3 millimeters (mm) apart on hannah's forehead. then hannah reports whether
she could feel 1 or 2 points. for each of the next trials, arianna and hannah repeat this process,
each time with the points 2 more mm apart. hannah reports feeling 1 point until the points are
15 mm apart, when she begins reporting that she feels 2 points. which inequality best
represents the trial numbers in which hannah feels 2 points?

the dimensions are:

step-by-step explanation:

we want to find the dimensions of a rectangular box with volume of

we factor to obtain;

we rewrite the rightmost factor to obtain;

recall that:

we apply difference of two squares formula to obtain;

hence the dimensions are

22

step-by-step explanation:

8

step-by-step explanation:

to find the amount of gift bags to use all the supplies, find the gcf or greatest common factor. this is the largest number which multiplies evenly into each term.

48 has factors: 1, 2, 3, 4, 6, 8, 12. 16, 24, 48

80 has factors: 1, 2, 4, 5, 8, 10, 16, 20, 40, 80

64 has factors: 1, 2, 4, 8, 8, 16, 32, 64

the highest number factor they all share in common is 8. this means there will be 8 bags with 6 pencils, 10 markers, and 8 stickers in each bag.