Answer:
Option A: 4 units is the correct answer.
Step-by-step explanation:
Given that:
Layana's house is located at (
)
Store is located at (
)
We can find distance between two points by using distance formula.
S = 
The points can also be written as;
House (8/3, 22/3)
Store (-4/3, 22/3)
Putting values in the formula.
S = 
S = 
S = 
S = 
S = 
S = 4 units
Hence,
Option A: 4 units is the correct answer.
14) (9.1*10^-5)^-6=9.1*10^-9
15) (2.19*10^4)^-6=2.19*10^-2
Given:

and,
K = 1
We would require to do the synthetic division of the above problem in order to know whether K=1 is a lower bound or not. Let's do it!
Steps of Synthetic Division:
1. Write the coefficients of the equation, and before that write 1. Like,
1 ║ 4 -2 2 4
As you can see, the coefficients of the equation are seperated by ║.
2. Drop down the first value after ║as it is. Like:
1 ║ 4 -2 2 4
:
----------------------
4
3. Multiply 4 with 1 and then place the resultant value under -2 and then add that resultant value with -2. Like
1 ║ 4 -2 2 4
:
4----------------------
4
24. Repeat Step 3 until you're done.
1 ║ 4 -2 2 4
: 4
2 ----------------------
4 2
4
1 ║ 4 -2 2 4
: 4 2
4----------------------
4
2 4
8
Now every value, +4, +2, +4, +8, under the bar(---------) is positive; therefore, it means that
K=1 is the upper bound, NOT lower bound.
Ans: K=1 is NOT a lower bound.
-i
Hi there!
We are given the function -

and are told to find the limit of the function.
The limit would be n approaches infinity, giving us an answer of
-1.
Here is how you solve this:

Divide by (n + 1)! -

Now, we can refine the function -

Now, just simplify. This gives us -

We can use the rule

to simplify the whole thing to get 1. Finally, we plug it back into our second derived equation to get 1/-1, which simplifies to -1. Therefore, the answer is
-1. Hope this helped and have a great day!
Answer:
A. Sheila lives closer to the library
Step-by-step explanation: