The required number line that shows all of the possible
temperatures is option A.
<h3>Inequalities and number line</h3>
From the given question, we have that water freezes when its temperature is no more than 32 °F
The statement no more than 32 °F shows that the temperature cannot be greater than 32 but less than or equal to 32. This is written mathematically as;
t ≤ 32.
We are to select the number line that shows all of the possible temperatures. The required number line that shows all of the possible
temperatures is option A.
Learn more on number lines here: brainly.com/question/24644930
Positive sorry if it’s wrong good luck
Combinatorial Enumeration. That whole class was a rollercoaster ride of mind-blowing generating functions to prove crazy things. The exam had ridiculous questions like 'count the number of cactus trees with n vertices such that etc etc etc' and you'd do three pages of terrible terrible sums and algebra. Then your final answer would be something beautiful like n/2 and you'd breath a sigh of relief and thank the math gods.
Simple..
there is a major difference between 6z and

6z means: 6 times z
and

means: z to the power of 6(z*z*z*z*z*z)
An example...
make z=2...plug n chug..
6z----> 6(2)=12
and

--->

=64
As you can see..there is a
major difference.
Thus, your answer.
The answer is 31. 10+10+20+1=31