Nguyens swimming pool needs 12 tiles
Answer:
b. 56
Step-by-step explanation:
Please consider the complete question.
There are 8 members on a board of directors. If they must form a subcommittee of 3 members, how many different subcommittees are possible?
We will use combinations for solve our given problem.
, where,
n = Number of total items,
r = Items being chosen at a time.
For our given scenario
and
.





Therefore, 56 different subcommittees are possible and option 'b' is the correct choice.
Answer:
O U ⊆ A ∪ B True
O U ⊆ A ∩ B False
O A ∪ B ⊆ U True
O B ⊆ U True
O A ⊆ U True
O A ∩ B ⊆ U True
Step-by-step explanation:
To prove the first part

Remember that any set is a subset of the universal set. Therefore it is true that

Now, given any
it is true that

Now according to the information given initially

And then you know that

Therefore
and using double inclusion
.
Now using the information just exposed
O U ⊆ A ∪ B True
O U ⊆ A ∩ B False
O A ∪ B ⊆ U True
O B ⊆ U True
O A ⊆ U True
O A ∩ B ⊆ U True
Answer:

<em>hope</em><em> </em><em>this</em><em> </em><em>helps</em><em>.</em><em>.</em><em>.</em><em>.</em><em>!</em>
Answer:
177.3 feet
This is a classic find the vertex of a parabola question.
if this was a calculus class the solution would be to take the derivative and set it equal to zero... -32t+ 105 = 0
BUT i assume that you are not in a calculus class..
so we try plan "B" the highest (or lowest) point of parabola is it's vertex
the vertex formula is [-b/2a,f(-b/2a)]
in your problem a = -16, b=105, c= 5
so the "X" (TIME) is located at -(105)/(2*-16) = 3.28
plug in 3.28 into -16(3.28)^2 + 105(3.28) + 5 = 177.27
and you will get
Step-by-step explanation: