Answer: Hello mate!
The partition of a set is defined as a partition of the set into a nonempty subset, where the set itself is a subset of himself, then the set is a partition of himself.
a) in this we have a set of two objects; A = (1,2) the partitions of this set are: (∅), (1), (2) and (1,2). Where (∅) is the null set.
b) Now we have a set of three objects; B = (a,b,c) the partitions of this set are: (∅), (a), (b), (c), (a,b), (a,c), (b,c), (a,b,c)
Answer:
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Step-by-step explanation:
Answer:
130 gallons initally, losing approx. 1.33333 gallons per minute, will be empty in approx 97.5 min
Step-by-step explanation:
1: y-intercept = (0, 130)
2: take two points (0, 130) & (30, 80)
use slope equation (80 - 130)/ (30 - 0) = -40/30 = -4/3
3: line equation is y=-4/3x+130
make y=0
0=-4/3x+130
-130=-4/3x
-130/-4/3=x
97.5=x
Answer:
40 and 10
Step-by-step explanation:
1. if the length is 'l' and height is 'h', then according to the condition 1/4*l=h.
2. if the given area is 400, it means, h*l=400;
3. if to substitute h=1/4*l into the formula of the area, then
l*l*1/4=400; ⇔ 1/4*l²=400;
4. if to calculate the value of the 'l', then l=40 (the required length).
5. if to substitute l=40 into 1/4*l=h, then h=10 (the required height).