F(-3) = -2(-3)^2 - 5(-3) + 4 = -2(9) + 15 + 4 = -18 + 19 = 1
Hope this helps good luck
Answer:
the total she earns with "d" hours of dog walking and "b" hours of babysitting is given by: 8 d + 12 b
Step-by-step explanation:
If we use "d" to represent the number of hours that Susan walks the dog, and we define "b" as the number of hours she babysits, then the expression that represents the amount she earns by walking the dog is: $8 times d = 8 d
Similarly, the amount she earns by babysitting is $12 times b = 12 b
Then the total she earns with "d" hours of dog walking and "b" hours of babysitting is: 8 d + 12 b
Answer:
48in^3
Step-by-step explanation:
volume of rectangular prism formula: L*W*H
lets plug in values for:
l=length(3)
w=width(2)
h=height(8)
so
3*2*8=48
48in^3
Hope this helps!
Answer:
For a sphere, the height is equal to the diameter, or two times the radius.
and because both objects have the same base area, then we can take the radius of the sphere equal to R and the radius of the base of the cylinder also equal to R.
The volume of the cylinder is:
Vc = pi*r^2*h
and here we have r = R and h = 2R
V = pi*(R^3)*2
the volume of a sphere of radius R is:
Vs = (4/3)*pi*R^3
The quotient between them is:
Vc/Vs = 2/(4/3) = 6/4 = 3/2.
This means that the volume of the cylinder is 3/2 times the volume of the sphere, always, for any value of R.
