Answer:
Arithmetic sequence
for 
Step-by-step explanation:
We are given that a sequence

We have to identify the sequence as arithmetic or geometric and write an explicit formula .







When the difference of consecutive terms is constant then the sequence is an arithmetic.
Hence, the sequence is an arithmetic.

for 
In mathematical analysis, the maxima of a function, is the largest value of the function, either within a given range or on the entire domain of a function.
<u>Given</u>:
The sides of the base of the triangle are 8, 15 and 17.
The height of the prism is 15 units.
We need to determine the volume of the right triangular prism.
<u>Area of the base of the triangle:</u>
The area of the base of the triangle can be determined using the Heron's formula.

Substituting a = 8, b = 15 and c = 17. Thus, we have;


Using Heron's formula, we have;





Thus, the area of the base of the right triangular prism is 36 square units.
<u>Volume of the right triangular prism:</u>
The volume of the right triangular prism can be determined using the formula,

where
is the area of the base of the prism and h is the height of the prism.
Substituting the values, we have;


Thus, the volume of the right triangular prism is 450 cubic units.
Answer:
V = 3,367.6 cm³
Step-by-step explanation:
Diameter of sphere (D) = 18.6 cm
radius (r) = ½(18.6) = 9.3
π = 3.14
Formula for volume of a sphere = ⁴/3πr³
Plug in the values
V = ⁴/3 × 3.14 × 9.3³
V = ⁴/3 × 3.14 × 804.357
V = (4*3.14*804.357)/3
V = 3,367.57463
V = 3,367.6 cm³ (nearest tenth)
Answer:
=577 shelves
Step-by-step explanation:
4616/8=577