Answer:
a²+b²=c²
Step-by-step explanation:
Answer:
A) 
B) 
C) for n = 2
= 1
for n = 3
= 3
for n = 4
= 8
for n = 5
= 19
Step-by-step explanation:
A) A recurrence relation for the number of bit strings of length n that contain a pair of consecutive Os can be represented below
if a string (n ) ends with 00 for n-2 positions there are a pair of consecutive Os therefore there will be :
strings
therefore for n ≥ 2
The recurrence relation for the number of bit strings of length 'n' that contains consecutive Os
b ) The initial conditions
The initial conditions are : 
C) The number of bit strings of length seven containing two consecutive 0s
here we apply the re occurrence relation and the initial conditions
for n = 2
= 1
for n = 3
= 3
for n = 4
= 8
for n = 5
= 19
Answer:
$56.70 all together
Step-by-step explanation:
$22.14 for the jeans
$34.56 for the jacket
$56.7 all together
Take your tax and move the decimal over to the left by 2 spaces
8. becomes .08
take .08 and multiply it by the price so
20.50 x .08= 1.64
and
32 x .08=2.56
the number you get is how much the tax is, $1.64 is 8% of $20.15
take that number and add it to your price
$1.64+$20.50= $22.14
Answer:

Step-by-step explanation:
first, you should draw a line to separate the triangle from the rectangle
You can get the height if the triangle by saying 16-9
This will give you 7
The base of the triangle is 3 because the opposite side is given and the opposite sides of a rectangle are equal
Now that we have the measurements of the triangle we can use the Pythagorean theorem





Answer:
-12.6
Step-by-step explanation: