Answer:
Step-by-step explanation:
By drawing the point (-3,-1) in the coordinate plane we find the graph shown below. Since there are 10 points between points A and B, we need to start at point A and then we have to move 11 units either to the right, to the left, up, or down
.
1. MOVING TO THE RIGHT:
From point A, move 11 units horizontally to the right to come to point B:
(-3+11, -1) = (8, -1)
2. MOVING TO THE LEFT:
From point A, move 11 units horizontally to the left to come to point B:
(-3-11, -1) = (-14, -1)
3. MOVING UPWARD:
From point A, move 11 units vertically upward to come to point B:
(-3, -1+11) = (-3, 10)
4. MOVING DOWNWARD:
From point A, move 11 units vertically downward to come to point B:
(-3, -1-11) = (-3, -12)
So this are the basic movements you can get to find point B. You also can move diagonally upwards or downwards in whose case you would find other four points. The graph below shows a red point which is A, and the other points are in black color and represent B.
First lets start with number six. The only way to solve this is if you determine what "a" and "b" are using the first log they have given to you. 
The first variable that I solved for was "a" and ![a=e^\frac{in(b)}{2}[tex]{[tex] 0](https://tex.z-dn.net/?f=%20a%3De%5E%5Cfrac%7Bin%28b%29%7D%7B2%7D%5Btex%5D%7B%5Btex%5D%20%200%3Cb%3C1%20%5Btex%5Dor%5Btex%5D%20b%3E1%20)
}
The same is also true for "b", but when you put both "a" and "b" together the only combination that I have found to work is 
Next you plug these numbers in for "a" and "b" on the second equation to get something that looks like this: ![log_\frac{1}{2}_*_\frac{1}{4} (\frac{\sqrt{\frac{1}{2}}}{\sqrt[3]{\frac{1}{4}}} )= -\frac{1}{18}](https://tex.z-dn.net/?f=%20log_%5Cfrac%7B1%7D%7B2%7D_%2A_%5Cfrac%7B1%7D%7B4%7D%20%28%5Cfrac%7B%5Csqrt%7B%5Cfrac%7B1%7D%7B2%7D%7D%7D%7B%5Csqrt%5B3%5D%7B%5Cfrac%7B1%7D%7B4%7D%7D%7D%20%20%29%3D%20-%5Cfrac%7B1%7D%7B18%7D%20%20%20%20%20)
and the picture below shows where the answer becomes a negative fraction.
https://www.symbolab.com/solver/logarithms-calculator/%20%5Clog_%7B%5Cfrac%7B1%7D%7B2%7D%5Ccdot%5Cfrac%7B1%7D%7B4%7D%7D%5Cleft(%5Cfrac%7B%5Csqrt%7B%5Cfrac%7B1%7D%7B2%7D%7D%7D%7B%5Csqrt%5B3%5D%7B%5Cfrac%7B1%7D%7B4%7D%7D%7D%5Cright)
If you paste that link in your search bar it will give you a even more in depth understanding of how to get this answer
Next is #7, the easier of the two.There are two ways to solve for your answers. According to the graph of this equation there are four possible real solutions. 
. (This does not account for any complex solutions)
Notice that the bases are conjugates which is why the answers are so "nice"
The key is in the exponents
if 
then the sum on the conjugates will be 10 so
so 
Now for the other two
the solution is also true if 
so
the four real solutions are 
Answer:
See below.
Step-by-step explanation:
For each day number, Y means working, and N means off
Day
1 Y
2 Y
3 Y
4 N
5 N
6 N
7 N
8 Y
9 Y
10 Y
11 Y
12 N
13 N
14 N
15 Y
16 Y
17 Y
18 N
19 N
20 N
21 N
22 Y
23 Y
24 Y
25 Y
26 N
27 N
28 N
29 Y
30 Y
31 Y
32 N
33 N
34 N
35 N
36 Y
37 Y
38 Y
39 Y
40 N
41 N
42 N
43 Y
44 Y
45 Y
46 N
a. Today is day 1. 30 days from today is day 31.
She works on day 31, so she does work 30 days from today.
b. 45 days from today is day 46. She is off on day 46, so she will be off 45 days from today.
Answer:
Step-by-step explanation:
A type 1 error is committed when a true null hypothesis is rejected. Looking at the given scenario, given that the null hypothesis, H0 states is stated as follows:
The mean age of the horses on a ranch is 6 years, then a type 1 error would be made if the conclusion states that the mean age of the horses on a ranch is lesser or greater than 6 years when it is actually 6 years. Therefore, the correct option is
You cannot conclude that the mean age of the horses on a ranch is 6 years when, in fact, it is.
Answer:
3 ! = 6
Step-by-step explanation:
Using the definition of factorial
n! = n(n - 1)(n - 2) × 3 × 2 × 1 , then
3! = 3 × 2 × 1 = 6
