The sum of n terms is given from the first term and the common ratio by

For your given values of a1=-11, r=-4, n=8, the sum of 8 terms is

Answer:
Diagonal of a rectangular frame = 85 inch
Step-by-step explanation:
Given:
Length of rectangle = 77 inch
Width of rectangle = 36 inch
Find:
Diagonal of a rectangular frame
Computation:
Diagonal of a rectangle = √l² + b²
Diagonal of a rectangular frame = √77² + 36²
Diagonal of a rectangular frame = √5,929 + 1,296
Diagonal of a rectangular frame = √7,225
Diagonal of a rectangular frame = 85 inch
Answer:
5 x Square root:2
Step-by-step explanation:
Answer:
Step-by-step explanation:
Part A
x-intercepts of the graph → x = 0, 6
Maximum value of the graph → f(x) = 120
Part B
Increasing in the interval → 0 ≤ x ≤ 3
Decreasing in the interval → 3 < x ≤ 6
As the price of goods increase in the interval [0, 3], profit increases.
But in the price interval of (3, 6] profit of the company decreases.
Part C
Average rate of change of a function 'f' in the interval of x = a and x = b is given by,
Average rate of change = 
Therefore, average rate of change of the function in the interval x = 1 and x = 3 will be,
Average rate of change = 
= 
= 30
Answer:
8.5 ft.
Step-by-step explanation:
We'll use this right triangular prism volume formula: base area x height = volume
base area = ?
length = 10.8
volume = 91.8
base area x 10.8 = 91.8
Divide both sides by 10.8
base area x 10.8/10.8 = 91.8/10.8
base area = 8.5