V=hpir²
h=8
d=2r
d/2=r
5/2=2.5=r
V=8pi2.5²
V=8pi6.25
V=50pi
aprox pi=3.14
V=50 times 3.14
V=157 in³
157 cubic inches
First of all, I'm going to assume that we have a concave down parabola, because the stream of water is subjected to gravity.
If we need the vertex to be at 
, the equation will contain a 
term.
If we start with 
we have a parabola, concave down, with vertex at and a maximum of 0.
So, if we add 7, we will translate the function vertically up 7 units, so that the new maximum will be 
We have
Now we only have to fix the fact that this parabola doesn't land at 
, because our parabola is too "narrow". We can work on that by multiplying the squared parenthesis by a certain coefficient: we want
such that:
Plugging these values gets us
As you can see in the attached figure, the parabola we get satisfies all the requests.
Answer:
2(2x+5)
Step-by-step explanation:
Length of the rectangle=l= 3x
Breadth of the rectangle=b= 5
Perimeter= 2(l+b)
= 2(3x+5)
Answer:
1/2x-5=13
Step-by-step explanation:
Let x= Frankie’s mother’s age
Half his mother’s age= 1/2x
5 less than that=1/2x-5
We know that Frankie is 13 so that equation is equal to Frankie’s age, which is 13.
Hope this helps.
The cost of one book = $ 6 7
Number of books = 1 0 2
The cost of 102 books = $ 67 × 102
= $ 6834
Therefore, cost of 102 books = $ 6834
, we have
