A box measures 4 units by 2 and 1/2 units, by 1 and 1/2 units. What is the greatest number of cubes with a side length of 1/2 unit that can be packed inside the box?

120 cubes

Step-by-step explanation:

First we need to find the volume of the box and the volume of the cube.

Volume of box = 4 * 2.5 * 1.5 = 15 cubic units

Volume of cube = 0.5 * 0.5 * 0.5 = 0.125 cubic units

Now, to find how many cubes can be packed inside the box, we just need to divide the volume of the box by the volume of the cube:

number of cubes = volume of box / volume of cube

number of cubes = 15 / 0.125 = 120 cubes

b. 6

step-by-step explanation:

we are given the table representing an exponential function.

we can see from the table that, as x is increasing, the value of y is increasing in the power of 6.

i.e. the following relation is obtained,

x = 1, y = 6

x = 2, y = 36 =

x = 3, y = 216 =

x = 4, y = 1296 =

x = 5, y = 7776 =

so, the geometric series obtained is .

thus, the common ratio is given by = = 6.

hence, the common ratio is 6.

what graph

step-by-step explanation: