the number of elements in the union of the A sets is:5(30)−rAwhere r is the number of repeats.Likewise the number of elements in the B sets is:3n−rB
Each element in the union (in S) is repeated 10 times in A, which means if x was the real number of elements in A (not counting repeats) then 9 out of those 10 should be thrown away, or 9x. Likewise on the B side, 8x of those elements should be thrown away. so now we have:150−9x=3n−8x⟺150−x=3n⟺50−x3=n
Now, to figure out what x is, we need to use the fact that the union of a group of sets contains every member of each set. if every element in S is repeated 10 times, that means every element in the union of the A's is repeated 10 times. This means that:150 /10=15is the number of elements in the the A's without repeats counted (same for the Bs as well).So now we have:50−15 /3=n⟺n=45
The answer is B. I hope it help :)
Answer:
Cylinder Surface Area = (2 • π • r²) + (2 • π • r • height)
Surface Area = (2 * PI * 7^2) + (2*PI*7*22)
Surface Area = 307.8760800518 + 967.6105373057
Surface Area = 1,275.4866173575 Square Inches
Cylinder Volume = π • r² • height
Volume = PI * 7^2 * 22
Volume = 3,386.6368805698 Cubic Inches
Surface Area to Volume = 1,275.4866173575 / 3,386.6368805698 =
0.3766233766
Answer is A
Source: https://www.1728.org/diam.htm
Step-by-step explanation:
Smaller because off the number value and places.