Answer: Xn = n(n+1)/2
Step-by-step explanation:
Firstly, you work with asingle dot for each and let n= 1,2,3,4....
Now if you double the dots, it will form a rectangle and it is easier to work with many dots i.e just multiple n by n+1
Dots in rectangle= n(n+1)
But remember the number of dots were doubled therefore,
Dots in triangle = n(n+1)/2.
The answer is 117 inches^3
Please see the attached picture for full solution
Hope it helps
Good luck on your assignment
Answer:
Step-by-step explanation:
I'm sure you want your functions to appear as perfectly formed as possible so that others can help you. f(x) = 4(2)x should be written with the " ^ " sign to denote exponentation: f(x) = 4(2)^x
f(b) - f(a)
The formula for "average rate of change" is a.r.c. = --------------
b - a
change in function value
This is equivalent to ---------------------------------------
change in x value
For Section A: x changes from 1 to 2 and the function changes from 4(2)^1 to 4(2)^2: 8 to 16. Thus, "change in function value" is 8 for a 1-unit change in x from 1 to 2. Thus, in this Section, the a.r.c. is:
8
------ = 8 units (Section A)
1
Section B: x changes from 3 to 4, a net change of 1 unit: f(x) changes from
4(2)^3 to 4(2)^4, or 32 to 256, a net change of 224 units. Thus, the a.r.c. is
224 units
----------------- = 224 units (Section B)
1 unit
The a.r.c for Section B is 28 times greater than the a.r.c. for Section A.
This change in outcome is so great because the function f(x) is an exponential function; as x increases in unit steps, the function increases much faster (we say "exponentially").
1.5ft to inches = 0.125 inches
14×0.125×7= 12.25 inches cubed
Answer:
Total number of arrangements = 1,663,200
Step-by-step explanation:
Given:
11 - letter
FIRECRACKER
F = 1
I = 1
R = 3
E = 2
C = 2
A =1
K = 1
Find:
Total number of arrangements = ?
Computation:
Note: Repeated letter will be avoid.
Total number of arrangements = 1,663,200
