Answer:
The value of y that satisfies the system of equations is 20
Step-by-step explanation:
we have
we know that
The solution of the system of equations is the intersection point both graphs
using a graphing tool
the intersection point is (-3,20)
see the attached figure
therefore
The value of y that satisfies the system of equations is 20
Take the radius squared 10*10=100 then times that by pi which equals 314 then by 16 which is 5,024 then multiply that by 75 and get 376,800
Answer:
40 total rocks
Step-by-step explanation:
100 * 36 / 90 = 40
Answer:
3540
2
Step-by-step explanation:
Total number of members = 60
Number of members to be elected = 2
Since the order of selection matters as the first is president and second is vice president ;
Using the permutation formula :
nPr = n! ÷ (n-r)!
60P2 = 60! ÷ (60 - 2)!
60P2 = 60! ÷ 58!
60P2 = 3540
B.) 2 members A and B will accept to serve only if they are selected to serve together ;
Since only 2 members (president and vice president) are to be chosen ; Hence, only the tow of them (A and B) will be chosen, to do this ;
2P2 = 2! /(2 - 2)! = 2! / 0! = (2*1)/1 = 2
9514 1404 393
Answer:
A. 6
Step-by-step explanation:
The wording "set A and set B" means you're interested in elements that belong only to both. In your diagram, that is Region II. There are 6 elements that belong to A and B.
AB = 6
_____
<em>Additional comment</em>
"A and B" is also called the "intersection" of the two sets: A ∩ B.
The number you have chosen is the number in Regions I, II, and III. That is the set of elements that belong to A <u>or</u> B. You have identified the "union" of the two sets: A ∪ B. (It might also be represented as A+B.)
