To find the combined volume, you will find the volume of each figure separately and then add them together. You will use the formulas for each polyhedra (3-D) shape.
V = 1/3 Bh (pyramid); B stands for the area of the base of the figure
V = 1/3 x 8 x 8 x 3
V = 64 cubic inches
V = Bh (prism)
8 x 8 x 4
V = 256 cubic inches
256 + 64 = 320 cubic inches
The total volume of the box is 320 cubic inches.
Answer:
k= 11/2
Step-by-step explanation:
The answer is <span>a. T(n+1)=1/2n^2+3/2n+1
</span>
T(n) = 1/2n² + 1/2n = 1/2(n² + n)
T(n + 1) = 1/2((n+1)² + (n+1))
(a + b)² = a² + 2ab + b²
(n + 1)² = n² + 2n + 1
T(n + 1) = 1/2(n² + 2n + 1 + n + 1) =
= 1/2(n² + 3n + 2) =
= 1/2n² + 3/2n + 1
A= 4 tenth 2 hundredth 3 thousandth
b= 3 tenth 2 hundredth 6 thousandth 7 ten thousandth 8 hundred thousandth
c= 4 tenth 5 hundredth 2 thousandth 4 ten thousandth
d= 3 tenth 0 hundredth 0 thousandth 6 ten thousandth
<h3>
Answer: Choice D</h3>

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Work Shown:

The idea is to swap each x and y, then solve for y to find the inverse.