Let U = {1,2,3,4,5,6,7,8,9,10}, A = {1,3,5,7,9}, B = {2,4,6,8,10} and C = {1,2,3,4} find (i) U' ii) A∩A' iii) A – ( B U C) iv) A
Artyom0805 [142]
Answer:
(i) U' = Φ
(ii) A∩A' = Φ
(iii) A – ( B U C) = {5,7,9}
(iv) A' U ( B U C ) = {2,4,6,8,10}
(v) A' U ( B' ∩ C') = {2,4,5,6,7,8,9,10}
Step-by-step explanation:
Step-by-step explanation:
We want to find two things-- the speed of the boat in still water and the speed of the current. Each of these things will be represented by a different variable:
B = speed of the boat in still water
C = speed of the current
Since we have two variables, we will need to find a system of two equations to solve.
How do we find the two equations we need?
Rate problems are based on the relationship Distance = (Rate)(Time).
Fill in the chart with your data (chart attached)
The resulting speed of the boat (traveling upstream) is B-C miles per hour. On the other hand, if the boat is traveling downstream, the current will be pushing the boat faster, and the boat's speed will increase by C miles per hour. The resulting speed of the boat (traveling downstream) is B+C miles per hour. Put this info in the second column in the chart. Now plug it into a formula! <u>Distance=(Rate)(Time) </u>Now solve using the systems of equations!
Answer:
100
Step-by-step explanation:
if SP>CP,
It is profit [SP - CP = Profit]
if CP>SP,
It is loss [CP - SP = Loss]
Here in the question CP>SP so,
loss = CP - SP
=200 - 100
= 100
Answer:
Step-by-step explanation:
8) (5x + 23) + (17x - 41) = 180
22x = 198
x = 9
arc JK 5(9) + 23 = 68°
arc MJ 17(9) - 41 = 112°
arc LMK 360 - 112 = 248
9) 8x + (21x - 12) + (10x + 9) + 90 = 360
39x = 273
x = 7
arc WX 21(7) - 12 = 135°
arc YW 90 + 8(7) = 146°
arc YX 10(7) + 9 = 79°
arc VXW 360 - 8(7) = 304°
Answer:
Domain is all real numbers or (negative infinity, positive infinity)
Step-by-step explanation:
Domain is all values of <em>x</em> (inputs) that will work with the function. Since a parabola has no limits for <em>x</em>, and all numbers work for <em>x</em>, then the domain can be any number. That leaves us with All Real Numbers as our answer.
