If the <em>n</em>-th term of the sequence is given by <em>n</em> ² - 2, then the 5th term is obtained by simply replacing <em>n</em> with 5 :
5² - 2 = 25 - 2 = 23
Answer:
Step-by-step explanation:
Permutation is the ways in which a fixed group or members that can be arranged or ordered and combinations are used when a smaller group has to be chosen from a larger group.
Examples:
<u>Permutation: </u>How many unique combinations of the word MAHNOOR can be formed when the letters will be scrambled
2. In what order or arrangements five people can be seated in the front row?
The number of people are fixed, we have to find the order.
<u>Combination:</u> Choosing two cards from a deck of 52 cards. We are choosing a small group from a larger group of all cards.
2. Choosing 4 students from a class to take part in the competition.
The selection can be made in multiple ways ..
Answer: 6 years
Step-by-step explanation:
Formula to calculate compound amount: 
, where P= Principal , r=rate of interest, t= time
Given: P = £400, r = 3% = 0.03 , A= 475
Required equation: 
Taking log on both sides , we get
Hence, he needs to invest the money for 6 years to get atleast £475.
Answer:
Part 8) B.F=0.5 units
Part 9) A.B=2 units
Step-by-step explanation:
we have
The diameter of circle F is 5 units
so
The radius of circle F is r.f=5/2=2.5 units
The diameter of circle G is 6 units
so
The radius of circle G is r.g=6/2=3 units
Part 8) Find B.F
we know that
B.F=G.B-F.G
we have
G.B=rg=3 units
FG=rf=2.5 units
substitute the values
B.F=3-2.5=0.5 units
Part 9) Find A.B
we know that
A.B=A.F-B.F
we have
A.F=r.f=2.5 units
B.F=0.5 units
substitute the values
A.B=2.5-0.5=2 units
We have
We subtract 11x on both sides and 7 on both sides
we sum like terms
Then we isolate the x
ANSWER
x=-1
The equation only have one solution
