Answer:
(n + 2)² + 6
Step-by-step explanation:
pattern 1:
Total squares = 15
3² + 6 = 16
Pattern 2:
Total squares = 22
4² + 6
Pattern 3:
Total squares = 31
5² + 6
Looking at the series,
There is an Increment of 1 in squared integer as the pattern increases; there is also a constant integer of 6
Hence, expressing the nth pattern in the form ;
(n + a)² + b
Where n is the nth pattern ; a = (Coefficient of n² in first pattern - 1) = (3 - 1) =2 ;
b = 6
Hence, we have ;
(n + 2)² + 6
Answer:
12.8 so answer 12 or 13
Step-by-step explanation:
15÷5/8= 12.8
1 yard = 3 feet = 36 in
so 1 in = 1/36 yard, 1 ft = 1/3 yard.
The volume of the layer of the topsoil, is:
5 in * 23 ft * 17 ft = 5 *(1/36)*23*(1/3)*17*(1/3) yard cubed =
(5*23*17)/(36*3*3)= 1955/324=6.034 yard cubed.
The store only sells increments of 1/4 = 0.25 cubic yards.
we need 6.034/0.25=24.136
So we need to buy 25 (24 will not be enough) increments of 1/4 cubic yards.
Answer: 25 increments of 1/4 cubic yard, that is 25*0.25=6.25 cubic yards.
X ≤ -5
x > 3
There are your Answers!
