if we look at the polygon above, hmmm is a Heptagon, or namely it has 7 sides so
[tex]\underset{in~degrees}{\textit{sum of all interior angles}}\\\\ S = 180(n-2) ~~ \begin{cases} n=\stackrel{number~of}{sides}\\[-0.5em] \hrulefill\\ n=7 \end{cases}\implies S=180(7-2)\implies S=900[/tex]
Complete the table with the following rules. y = (1/7) to the x power
x -2 -1 0 1 2 3
y ? 7 ? 1/7 1/? 1/343
The completed table with the corresponding values of y for each given value of x is as shown above.
To complete the table using the given rule y = (1/7)^x, we can substitute the values of x into the equation and calculate the corresponding values of y.
Let's calculate the values of y for each given value of x:
For x = -2:
y = (1/7)^(-2)
= 1 / (1/7)^2
= 1 / (1/49)
= 49
For x = -1:
y = (1/7)^(-1)
= 1 / (1/7)^1
= 1 / (1/7)
= 7
For x = 0:
y = (1/7)^0
= 1
For x = 1:
y = (1/7)^1
= 1/7
For x = 2:
y = (1/7)^2
= 1 / (1/7)^2
= 1 / (1/49)
= 49
For x = 3:
y = (1/7)^3
= 1 / (1/7)^3
= 1 / (1/343)
= 343
Completing the table:
x -2 -1 0 1 2 3
y 49 7 1 1/7 49 343
Therefore, the completed table with the corresponding values of y for each given value of x is as shown above.
for such more question on corresponding values
https://brainly.com/question/1675117
#SPJ8
What is the Next number in this series 7 11 19 35?
Answer:
67
Step-by-step explanation:
we have a gap between 1st and 2nd terms of 4. a gap between 2nd and 3rd of 8. 16 for next gap. the gap doubles every time.
so we expect gap between 4th and 5th terms to be 2 X 16 = 32.
35 + 32 = 67. that is the next number in the sequence.