Answer: 1/32
Step-by-step explanation: Each day, the fraction/number is dividing by 2. Therefore, day 5 would be 1/16, and 1/16 divided by 2 would be 1/32.
Answer:
x = -22
Step-by-step explanation:
2(5– x)3 – 11 = 151
(10 - 2x)3 - 11 = 151
30 - 6x = 162
-6x = 132
x = -22
The relationship between the number of pentagons and the perimeter will be

From the diagram in the question, each side of a pentagon has length
.
Also, each time another pentagon is attached, a side is removed.
Using these observations, we can create a relationship between the number of pentagons,
, and the perimeter,
, as follows
For 

For 

For 

The relationship will be

Learn more about perimeter here: brainly.com/question/17756657
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Answer:
y = 6^x -3
Step-by-step explanation:
The graph is that of an exponential function that has been translated downward. We notice the horizontal asymptote is -3, and a couple of points on the graph are (0, -2) and (1, 3).
The shifted parent function will look like ...
y = a·b^x +c
where c is the horizontal asymptote. Using the two points we found, we have ...
-2 = a·b^0 -3 . . . . . using (x, y) = (0, -2)
1 = a . . . . . . . . . . add 3 and simplify
Then using (x, y) = (1, 3), we have ...
3 = b^1 -3
6 = b . . . . . . . . . add 3 and simplify
So, the equation is ...
y = 6^x -3
Answer:
min at x = -3
Step-by-step explanation:
steps are in the pic above.