First we rewrite the expression:
(4x ^ 3) * (2x) ^ - 4
Using properties of exponents we have:
(4x ^ 3) / (2x) ^ 4
Rewriting:
(4x ^ 3) / 16x ^ 4
(x ^ 3) / 4x ^ 4
(1) / (4x)
answer:
An equivalent expression is:
(1) / (4x)
option 1
We know that
a) find <span>the ratio of the perimeters
</span><span>
the ratio of the perimeters is equal to the scale factor
</span>scale factor=26/6-----> 13/3
the answer Part a) is
the ratio of the perimeters is 13/3
b) find <span>the ratio of the areas of the larger figure to the smaller figure
we know that
area larger figure=[scale factor]</span>²*area smaller figure
scale factor²=area larger figure/area smaller figure
the ratio of the areas of the larger figure to the smaller figure is equal to scale factor squared
scale factor²=(13/3)²----> 169/9
the answer Part b) is
169/9
the complete answer is
13/3 and 169/9
First one is geometric
Second one is arithmetic
Because geometric sequences have patterns
Answer:
- 7 dollars
Step-by-step explanation:
27 - 7 = 20
Number of 1/2-inch cubes length-wise = 8 1/2 ÷ 1/2 = 17
Number of 1/2-inch cubes width-wise = 5 1/2 ÷ 1/2 = 11
Number of 1/2-inch cubes height-wise = 2 1/2 ÷ 1/2 = 5
Number of 1/2-inch cubes = 17 x 11 x 5 = 935
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Answer: 935 1/2-inch cubes are needed.
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