Answer:
Step-by-step explanation:
The object shown above consists of 5 cubes having side lengths of ⅖m each.
Volume of a cube = 
Where, a = side length = ⅖ m
Volume of the object =
<span>Left & Right affect the h,
Up & Down affect the k,
Shrink & Stretch affect the "a" (which is in front of the absolute value expression).
1. shift 1 unit to the right and up 2 units → y = |x-1| + 2
2. </span><span>shift 3 units to the left and 7 units down → y = |x + 7| - 7
3. </span><span>vertical shrink by a factor of 1/3 → y =

|x|
4. </span><span>vertical stretch by a factor of 3
→ y = </span><span>3 |x|</span>
Answer: (1) Distributive (2) Commutative (3) Associative
(4) Commutative (5) Addition Property of Equality
<u>Step-by-step explanation:</u>
1) Distributive
(x + 4) was multiplied by 3 and (2x - y) was multiplied by 5
2) Commutative
10x and -5y switched places
3) Associative
The parenthesis changed partners
4) Commutative
(12y - 5y) and 10x switched places
5) Addition Property
Like terms were added together --> 3x + 10x = 13x and 12y - 5y = 7y
Answer:
252 bags of maize
Step-by-step explanation:
From the question, we are told that a farmer harvested maize
In the year 2012 = 144 bags of maize
In the year 2013(following year) the harvest decreased in the ratio 3:4
This means
3:4 = 2013: 2012.
Where number of bags harvested in 2013 = unknown = x
3/4 = x/ 144
Cross multiply 4x = 3 × 144
x = 3 × 144/ 4
× = 108
This means 108 bags of maize was harvested in 2013
The total number of bags harvested is = 108 + 144
= 252 bags of maize.
You have 6 variables with 2 levels each. Thus 2*2*2*2*2*2 or 2^6 or 64.