The 2nd selection is correct.
_____
If your relation has some point (x1, y1), the inverse relation has the point (y1, x1). For example, one of the points of your relation is (-1, 0), so (0, -1) will be a point in the inverse relation.
A relation is a function if it does not contain two or more points with the same x-value.
(The relation shown in the graph is NOT a function, but its inverse relation IS a function.)
Answer:
3.63 * 10^19
Step-by-step explanation:
Given that :
Number of choices to select = 12
Category available :
Blues - 14
Country - 25
Disco - 21
To select an equal number of song for each category ; then 4 songs will be selected from each :
Using combination :
(14C4 * 25C4 * 21C4)
Since the order matters for the 12 selected songs ; it thus requires 12 permutation
Thus ;
(14C4 * 25C4 * 21C4) * 12!
nCr = n! / (n-r)!r!
Using calculator;
14C4 = 1001 ;
25C4 = 12650
21C4 = 5985
12! = 479001600
Hence,
(1001 * 12650 * 5985) * 479001600
= 36301596217286400000
=3.63 * 10^19
Answer:
See explanation.
Step-by-step explanation:
Let BC be the diameter of the circle with center at point O, AB be the chord and ∠ABC=30°. OD is the distance from the center to the chord.
Consider triangle BDO. This triangle is special 30°-60°-90° right triangle. The leg OD is opposite to the angle of 30° and is half of the hypotenuse. The hypotenuse of the triangle BDO is BO. BO is the radius of the circle and is equal to half of the diameter AB. Thus,
$2 / 0.3 = $6.67
Check:
$6.67 * 0.3 = $2 :)
I believe it is 2c^8, but I'm not sure.
