Using the permutation formula, it is found that there are 17,297,280 different signals consisting of 8 flags.
In this problem, the order in which the flags are visited is important, hence the <em>permutation formula</em> is used to solve this question.
<h3>What is the permutation formula?</h3>
The number of possible permutations of x elements from a set of n elements is given by:
The first flag is blue, then the remaining 7 are taken from a set of 14, hence:
There are 17,297,280 different signals consisting of 8 flags.
More can be learned about the permutation formula at brainly.com/question/25925367
Answer:
120
Step-by-step explanation:
As x goes from 1 to 2, y increases by 4 from 4 to 8
As x goes from 2 to 3, y increases by 4 from 8 to 12
We increase by 4 each time
The formula for an arithmetic sequence is
an = a1+d(n-1)
where a1 is the first term which is 4
d is the common difference or the number we add each time which is 4
n is the term we are looking for which is 30
a30 = 4 +4 (30-1)
a30 = 4+4(29)
= 4+116
= 120
Answer:
Percentage increase in volume will be
33.1
%
Step-by-step explanation:
Let the each edge of cube be
100
units.
Then its volume is
100
3
=
1000000
cubic units.
If each edge increases by
10
%
it becomes
110
units
and volume becomes
110
3
=
1331000
cubic units
Therefore increase in volume is
1331000
−
1000000
=
331000
cubic units
and percentage increase in volume is
331000
1000000
×
100
%
=
331
10
%
=
33.1
%
Answer:
line one should have a y-intercept at (0,2).
Step-by-step explanation:
