(10 elements..........) 2^(10)<span>=<span>1024
</span></span><span>A discrete set with n elements has 2^n subsets. 2^n=1024 implies there are n=10 elements in this set. Any subset with 0 through n-1 elements is a proper subset of the set, as in each of those cases there exists at least one element of the set that is not in the subset, which is the requirement to be a proper subset. Therefore, we have 1023 proper subsets.</span>
Answer:
y=-1/5x+6
Step-by-step explanation:
y-b=m(x-a)
×5) y-7=-1/5(x--5) (×5
5y-35=-1(x+5)
5y-35=-x-5
5y=-x+30
y=-1/5x+6
Value of x = 7.499
Step-by-step explanation:
We need to find value of x in the equation: 
This can be solved using natural log
Solving:

Subtract 7 from both sides:

Simplifying:


Using rule if f(x)=g(x) then, ln(f(x))=ln(g(x))
So,

Applying log rule: logₐ(x^b)= b logₐ(x)

Divide both sides by 2ln(2)
So, Value of x = 7.499
Keywords: Solving Equations
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