The volume of the first cube is (5h^2)^3, while the volume of the second cube is (3k)^3, so their total volume is (5h^2)^3 + (3k)^3. We can use the special formula for factoring a sum of two cubes:
x^3 + y^3 = (x + y)(x^2 - xy + y^2)
(5h^2)^3 + (3k)^3 = (5h^2 + 3k)((5h^2)^2 - (5h^2)(3k) + (3k)^2)
= (5h^2 + 3k)(25h^4 - 15(h^2)(k) + 9k^2)
This is the second of the given choices.
Answer: (a) $6,600
(b) $28,600
<u>Step-by-step explanation:</u>
Interest (I) = Principal (P) x rate (r) x time (t)
I = 22,000(0.06)(5)
= 6,600
Accrued (A) = Principal (P) + Interest (I)
A = 22,000 + 6,600
= 28,600
Answer:
Hexagon
(Sorry for the late answer,
this'll help kids in the future who google this, at least.)
Answer:
11.0905365064
11.1 (rounded)
Step-by-step explanation:
Answer:
17
Step-by-step explanation:
n(Band and Choir only)
= 25 - 11 - 7 - 3 = 4
n(Math and Band only)
= 7
n(Math and Choir only)
= 57 - (25 + 17 + 9)
= 6
Exactly 2:
4 + 7 + 6
= 17
