8 for 6 is the answer I think
Answer:

Step-by-step explanation:
<u>Arithmetic Sequences</u>
The arithmetic sequences are identified because any term n is obtained by adding or subtracting a fixed number to the previous term. That number is called the common difference.
The equation to calculate the nth term of an arithmetic sequence is:

Where
an = nth term
a1 = first term
r = common difference
n = number of the term
We are given the first terms of a sequence:
-12, -28, -44,...
Find the common difference by subtracting consecutive terms:
r = -28 - (-12) = -16
r = -44 - (-28) = -16
The first term is a1 = -12. Now we calculate the term n=61:



A keypad at the entrance of a building has 10 buttons labeled 0 through 9. What is the probability of a person correctly guessing a 9-digit entry code if they know that no digits repeat?
Answer:
the probability of a person correctly guessing a 9-digit entry code if they know that no digits repeat is 0.1
Step-by-step explanation:
We know that probability= number of required outcomes /number of all possible outcome.
From the given information;
the number of required outcome is guessing a 9-digit = 1 outcome
the number of all possible outcome = ¹⁰C₉ since there are 10 numbers and 9 number are to be selected.
Since there are only 9-digit that opens the lock;
the probability of a person correctly guessing a 9-digit entry code is



P = 0.1
<u>Answer</u>:
![f^{-1}(x) = \sqrt[5]{\frac{x+7}{9} -10}](https://tex.z-dn.net/?f=f%5E%7B-1%7D%28x%29%20%3D%20%5Csqrt%5B5%5D%7B%5Cfrac%7Bx%2B7%7D%7B9%7D%20-10%7D)
<u>Explanation</u>:
given : f(x) = 9(
+ 10 ) - 7
replace x and y with each other.
- x = 9(
+ 10 ) - 7
solve for y
- x + 7 = 9(
+ 10 )
-
=
- 10
- y =
![\sqrt[5]{\frac{x+7}{9} -10}](https://tex.z-dn.net/?f=%5Csqrt%5B5%5D%7B%5Cfrac%7Bx%2B7%7D%7B9%7D%20-10%7D)
Therefore,