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
Step-by-step explanation:
x + y = 9 ......... equation 1
x - y = 7 ............equation 2
Now solving both equations
x + y = 9
<u>x </u><u>-</u><u> </u><u>y </u><u>=</u><u> </u><u>7</u>
2x = 16
Therefore x = 8
Now putting x = 8 in equation 1
8 + y = 9
Therefore y = 1
Here B (8 , 1) is your answer
Hope it will help you
Answer: <u>Rational</u>
Step-by-step explanation: Let's first go over what a rational number is. A rational number is any number that you can write in the form where a and b are integers and b ≠ 0.
The fraction would be a rational number because it's in the form of . Therefore, 2/9 is a rational number.
Answer:
24.39mL of the solution would be given per hour.
Step-by-step explanation:
This problem can be solved by direct rule of three, in which there are a direct relationship between the measures, which means that the rule of three is a cross multiplication.
The first step to solve this problem is to see how many mg of the solution is administered per hour.
Each minute, 200 ug are administered. 1mg has 1000ug, so
1mg - 1000 ug
xmg - 200 ug
In each minute, 0.2 mg are administered. Each hour has 60 minutes. How many mg are administered in 60 minutes?
1 minute - 0.2 mg
60 minutes - x mg
In an hour, 12 mg of the drug is administered. In 250 mL, there is 123 mg of the drug. How many ml are there in 12 mg of the drug.
123mg - 250mL
12 mg - xmL
mL
24.39mL of the solution would be given per hour.
24 I believe but don't trust me some one smarter will come along