Answer:
There are 36 possibilities per character (26 lower case letters + 10 numbers), so the total number of permutations are 36^4 = 1,679,616
Step-by-step explanation:
Answer:
first of all erase what u have written
Step-by-step explanation:
<h2>Q: 25-(3x+5)=2(x+8)+x</h2>
- 25-3x-5=2x+16+x
- 20-6x=16
- 6x=4
- x=2/3
Answer:
y = 
Step-by-step explanation:
Given
y + v = s ( subtract v from both sides )
y = s - v
Multiply through by 3 to clear the fraction
2y = 3s - 3v ( divide both sides by 2 )
y = 
Answer:
Step-by-step explanation:
If the first floor of the Willis Tower is 21 feet high. and each additional floor is 12 feet high, then the floor heights as we move from one floor to another we keep increasing by 12feets and forms an arithmetic progression as shown;
21, (21+12), (21+12+12), ...
<em>21, 33, 45...</em>
a) To write an equation for the nth floor of the tower, we will have to find the nth term of the sequence using the formula for finding the nth term of an arithmetic sequence.
The nth term of an arithmetic sequence is expressed as 
a is the first term = 21
d is the common difference = 33-21 = 45-33 = 12
n is the number of terms
Substituting the given parameters into the formula;

<em>Hence the equation for the nth floor of the tower is expressed as </em>
<em></em>
<em></em>
b) To get the height of the 65th floor, we will substitute n = 65 into the formula arrived at in (a)

<em>Hence the height of the 65th floor is 789feets.</em>
.25 = 25/100 (divide top and bottom by 25)
= 1/4