Answer:
24!
Step-by-step explanation:
I will refer the people to A,B,C, and D
24 is the answer.
4 choices for the first position.
3 choices for the second.
2 choices for the third.
1 for the fourth.
4*3*2*1=24
Here it is listed out where a,b,c,d are the 4 people:
abcd
abdc
acbd
acdb
adbc
adcb
bacd
badc
bcad
bcda
bdac
bdca
cabd
cadb
cbad
cbda
cdab
cdba
dabc
dacb
dbac
dbca
dcab
dcba
(of course, this assumes that there is a direction to the line, or a 'front' and a 'back'. If direction doesn't matter then the answer is 12, since every combination above has a reverse. e.g., abcd and dcba. The list becomes:
abcd
abdc
acbd
acdb
adbc
adcb
bacd
badc
bcad
bdac
cabd
cbad
Answer:
The original function was transformed by a a horizontal shift to the right in 1 unit, and also a vertical shift upwards of 5 units.
Step-by-step explanation:
Recall the four very important rules regarding translations (shifts) of the graph of functions:
1) In order to shift the graph of a function vertically c units upwards, we must transform f (x) by adding c to it.
2) In order to shift the graph of a function vertically c units downwards, we must transform f (x) by subtracting c from it.
3) In order to shift the graph of a function horizontally c units to the right, we must transform the variable x by subtracting c from x.
4) In order to shift the graph of a function horizontally c units to the left, we must transform the variable x by adding c to x.
We notice that in our case, The original function 
has been transformed by "subtracting 1 unit from x", and by adding 5 units to the full function. Therefore we are in the presence of a horizontal shift to the right in 1 unit (as explained in rule 3), and also a vertical shift upwards of 5 units (as explained in rule 1).
Answer:
Mars is 6.79 X 10^6 m
Step-by-step explanation:
Mars is at a distance of 206,600,000 km from the Sun at perihelion At aphelion, Earth is at a distance of 152,100,000 km from the Sun. This is a difference of 54,500,000 km, or 34,000,000 miles.
Answer:
<u>The number is 125 and the equation is 0.8x = 100</u>
Step-by-step explanation:
80% of x is equal to 100.
Write an equation that shows the relationship of 80%, x, and 100
80% = 0.8
0.8x = 100
x = 100/0.8
x = 125
<u>The number is 125 and the equation is 0.8x = 100</u>
