At an ice cream carving competition each carver starts with a block of ice with the dimensions shown (4,2,3). the block is wrapped with special reflective material to keep it from melting. how much reflective material is needed to cover the whole block without any overlaps?

Total reflective material required = 52 square unit

Step-by-step explanation:

An ice block has the dimensions as 4 units × 2 units × 3 units

This ice block to bee covered with a special reflective paper to protect the ice block from melting.

Amount of reflective material required = Total surface area of the ice block

Since total surface area of a rectangular prism = 2(lb + bh + hl)

Where l = length of the ice block

b = width of the ice block

h = height of the ice block

Now total surface area for the given dimensions = 2(4×2 + 2×3 + 3×4)

= 2(8 + 6 + 12)

= 52 units²

Therefore, total reflective material required will be 52 units².

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.