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
0.38p
To get the percent of something, you turn the percent to a decimal and multiply it to the number.
Here, we want the expression to get 38% of p. So we turn 38% to 0.38 and multiply it to p. Since we don't know what p is, we have to leave it as 0.38p
The answer is 0.38p
Hope this helps!
7 dosent go into 4 at all but 4 goes into 7 once
Answer:
Option D
Pyramid
Step-by-step explanation:
The clause that gave away the answer is "<em>three-dimensional solid consisting of a base that can be any polygon"</em>
<em></em>
Scanning through the options, we can see that the only option that fits the description is the pyramid.
The pyramid is the only three-dimensional shape amongst the options that can take any polygon as a base.
<em>The other options get screened out here.</em>
A cube must have a square base.
A triangular prism must have a triangular base
A rectangular prism must have a rectangular base
Thus, option D: The Pyramid is the correct answer.
Answer:
B. -7 and 17
Explanation:
Plug in the given number for x.
f(3)=4(3)+5
=12+5
=17
f(-3)=4(-3)+5
=-12+5
= -7
