Answer:
C. 
Step-by-step explanation:
Based on the Indice Law:
×
= 
3² ×
=
=
Answer:
Given:-
The algebraic form of an arithmetic sequence is 4n+1.
To find:-
common difference.
first term
remainder when each term of the sequence is divided by 4.
Solution:-
Given,
and n = 1,2,3...
Now,
If n = 2,
The sequence is 5 ,9,13..
Hence, the first term is 5.
Common difference :
=> d =
=> 9- 5
=> d = 4.
Hence, common difference is 4.
Remainder :
=> 5/4 = 4(4) +1
Here, remainder =1
=> 9/4 = 4(2)+1
Here, remainder =1
=> 13/4 = 4 (3)+1
Here , remainder = 1.
Therefore, the remainder when each term of this sequence is divided by 4 is 1 .
Step-by-step explanation:
Answer:
1.8 meters
Step-by-step explanation:
It was easy for me
<h3>
Answer: 25</h3>
==========================================================
Work Shown:
x = number of $2 coins
y = number of $10 coins
x+y = 43 coins total
x = 43-y
2x = value of just the $2 coins only
10y = value of all the $10 coins only
2x+10y = total value of all coins mentioned
This value must be greater than $278, so,
2x+10y > 278
2( x ) + 10y > 278
2(43-y)+10y > 278
86-2y+10y > 278
8y+86 > 278
8y > 278 - 86
8y > 192
y > 192/8
y > 24
The smallest y can be is y = 25.
We need at least 25 coins worth $10 each.