Answer:
An equation for the nth term of the arithmetic sequence.

Step-by-step explanation:
Given the sequence
2,5,8,11,...
An arithmetic sequence has a constant difference 'd' and is defined by

here
computing the differences of all the adjacent terms
- d = 5-2 = 3, d = 8-5=3, d=11-8=3
Using the nth term formula

substituting a₁ = 2, d = 3



Thus, an equation for the nth term of the arithmetic sequence.

Hello,
f(x)=x+8
g(x)=x²-6x-7
f(g(x))=f(x²-6x-7)=x²-6x-7+8=x²-6x+1
f(g(2))=2²-6*2+1=4-12+1=-8+1=-7
Answer A
You multily 9 by 5 since there is 5 wholes and those are divided into 9ths so 9by 5
Answer:
Number of total arrangement of beads = 2,520
Step-by-step explanation:
Given:
Number of beads in necklace = 8 beads
Find:
Number of total arrangement of beads
Computation:
Changing beads is a cyclic permutation,
So,
Formula to find number of total arrangement in cyclic permutation
(n-1)!/2 , where n = number of item
So,
(n-1)!/2
Number of total arrangement of beads = (8-1)!/2
Number of total arrangement of beads = (7)!/2
Number of total arrangement of beads = (7 x 6 x 5 x 4 x 3 x 2 x 1) / 2
Number of total arrangement of beads = 5,040 / 2
Number of total arrangement of beads = 2,520
Answer:
a. 22.5 km
b. 267.52 m
c. 95 m
d.
km
Step-by-step explanation:
a. You can convert from hectometers to kilometers, and then you can make the multiplication:


b. You can convert from centimeters to meters, and then you can make the multiplication:

c. You only need to divide 1,140 meters by 12:

d. You can convert from hectometers to kilometers, from decameters to kilometers and from meters to kilometers, and divide this by 15:



km