Answer:
4.5π ft³ or 14.14 ft³. Volume is a three dimensional unit of measure, meaning the units will be ft³.
Step-by-step explanation:
In order to solve this you need to know the volume formula for a sphere, which is (4/3)(π)(r³) where r is the radius. By plugging the the given value, 3/2, you get the volume to be 4.5π or 14.14 ft³.
Answer:
11.0344828%
Step-by-step explanation:
145000 - 129000 = 16000.
16000/145000 = 16/145 = 0.110344828
Therefore there was a 11.0344828% decrease
Answer:
Roy is 6 years old and Aaron is 1 year old.
Step-by-step explanation:
A is Aaron's age,
R is roy's age,
A = R - 5
R + 4 = 2(A+4)
We can distribute first,
R + 4 = 2A + 8
Subtract 4 from each side,
R = 2A + 4
Since A = R - 5, you can substitute in R - 5 for A in the equation,
R = 2(R-5) + 4
Distribute,
R = 2R - 10 + 4
Since - 10 + 4 = -6, we can do this,
R = 2R - 6
Subtract R from both sides,
0 = R - 6
Add 6 to both sides and you have part of your answer;
R = 6
Since A = R - 5,
A = 6 - 5
A = 1, so Aaron's age is 1.
(Distribute)
(5x + 10)2 - (4x + 3)
(10x + 20) - (4x + 3)
6x + 17
A graphical solution shows the objective function is maximized for (x, y) = (5, 1). The corresponding value of p is
p = 3