Answer:
{∅, {a}, {b}, {a,b}}
Step-by-step explanation:
The value of power of a set is generalized by using the formula,
Power of a set (P) = 2^n where n is the number of element in the set.
Given two distinct elements a and b say;
A = {a,b}
n(A) = 2 i.e the number of elements in the set is 2. Therefore the power of the set will be 2^n which gives 2^2 = 4.
P(A) = 4 means there are 4 subsets of the given set. Subsets are sets of elements that can be found in the set. The subsets of element A will be;
{∅, {a}, {b}, {a,b}} which gives 4 elements in total.
Note that empty set ∅ is always part of the subset of any given set
Answer: $54.35
Step-by-step explanation:
If each one of the 15 students raises the same amount, let's define this amount by the variable X, then the total amount they will collect is 15 times X, or:
15*X
And the minimum amount they need to collect is $800
Then we will have the inequality:
15*X ≥ $800
Now we can divide both sides by 15 to get the minimum amount that each student needs to raise:
(15*X)/15 ≥ $800/15
X ≥ $54.33...
Where we should round up the right number to $54.35, because we can not have a $0.0333... and if we round down, they would collect less than $800.
Then the inequality is:
X ≥ $54.35
This means that the minimum amount that each one of the 15 students needs to collect is $54.35
Answer:
2^4 x 5
Step-by-step explanation:
In the figure we have three right angles .The triangles similar to each other .Similar triangles have sides in proportion .The altitude rule is true for the triangles .
The theorem states :The altitude to the hypotenuse of a right triangle is the mean proportional between the segments into which it divides the hypotenuse.
Substituting the values from the triangles we ahve:
s is the right answer
100-10=90
90÷2=45
Mr Bergen's age=45+10
=55 years old
Mrs Bergen's age=45 years old
