ANSWER
450lb
EXPLANATION
If the weight, m of an object on the moon varies directly as the weight of an object e, on the earth, then we can write the mathematical statement,.

We introduce the constant of proportionality to obtain,

When, m=95, e=570,
This implies that,



The equation now becomes,

We want to find e, when m=2700,

1) x^2=36
x=6
3) x^2-8x+13=0 —> x= (8±√64-4(1)(13))/2(1)
x=4±√3
5) x^2-6x+9-k=0 —> x=(6±√36-4(1)(9-k))/2(1) —> (6±√4k)/2 —> (6±2√k)/2
x=3±√k
7) y=x^2-4x+11 —> y-11=x^2-4x —> take the half of the coefficient of the single x term and square it and add it on both sides —> y-11+4=x^2-4x+4 —> y-7=(x-2)^2 —> y=(x-2)^2+7
Minimum: (2,7)
Maximum: n/a
X intercepts: none (never crosses the x-intercept)
9) y=x^2+2x-8 —> y+8+1=x^2+2x+1 —> y=(x+1)^2-9
Minimum: (-1,-9)
Maximum: n/a
x-intercepts: (x+4)(x-2) —> (-4,0),(2,0)
11) c
13) (x+7)(x+3)
15) x=(-6±√36-4(1)(10))/2 —> x=(-6±√-4)/2 —> (-6±2i)/2
x=-3±i OR no real solutions
Answer:
The cup can hold <u>235.5 cubic cm</u> of popcorn.
Step-by-step explanation:
Given:
A cone shaped popcorn cup has a radius of 5 cm and a height of 9cm.
Use 3.14 as an approximation for pi.
Now, to find cubic cm of popcorn the cup can hold.
Radius ( r ) = 5 cm.
Height ( h ) = 9 cm.
π = 3.14 ( as per question ).
So, to get the cubic cm of popcorn the cup can hold we put formula of volume:




Therefore, the cup can hold 235.5 cubic cm of popcorn.
Pipe B is faster. I can't answer the second part. Pipe A pumps 15.16 liters btw