(1/9)^-2
=(9/1)^2
=81/1
=81
Answer:
Step-by-step explanation:
It is -3 to start off with, on Monday. On Tuesday morning it would be -3 - 2 degrees, = -5 degrees. By Tuesday evening it was 4 degrees lower than in the morning, so -5 - 4 degrees = -9 degrees on Tuesday evening.
Hope this helps xox :)
Option C:
is the possible expressions for length, width and height of the prism.
Explanation:
The volume of the rectangular prism is ![60 x^{3}+145 x^{2}+70 x](https://tex.z-dn.net/?f=60%20x%5E%7B3%7D%2B145%20x%5E%7B2%7D%2B70%20x)
To determine the length, width and height of the rectangular prism, let us factor the expression.
Thus, factoring 5x from the expression, we have,
![5 x\left(12 x^{2}+29 x+14\right)](https://tex.z-dn.net/?f=5%20x%5Cleft%2812%20x%5E%7B2%7D%2B29%20x%2B14%5Cright%29)
Let us break the expression
into two groups, we get,
![5x[\left(12 x^{2}+8 x\right)+(21 x+14)]](https://tex.z-dn.net/?f=5x%5B%5Cleft%2812%20x%5E%7B2%7D%2B8%20x%5Cright%29%2B%2821%20x%2B14%29%5D)
Factoring 4x from the term
, we get,
![5x[4 x(3 x+2)+(21x+14)]](https://tex.z-dn.net/?f=5x%5B4%20x%283%20x%2B2%29%2B%2821x%2B14%29%5D)
Similarly, factoring 7x from the term
, we get,
![5x[4 x(3 x+2)+7(3x+2)]](https://tex.z-dn.net/?f=5x%5B4%20x%283%20x%2B2%29%2B7%283x%2B2%29%5D)
Now, let us factor out
, we get,
![5 x(4 x+7)(3 x+2)](https://tex.z-dn.net/?f=5%20x%284%20x%2B7%29%283%20x%2B2%29)
Hence, the possible expressions for length, width and height of the prism is ![5 x(4 x+7)(3 x+2)](https://tex.z-dn.net/?f=5%20x%284%20x%2B7%29%283%20x%2B2%29)
Therefore, Option C is the correct answer.