Let's break this problem down and solve it step-by-step.
STEP-BY-STEP SOLUTION:
Keep in mind the following:
Two positives together or two negatives together = positive
One positive and one negative together = negative
Okay, now let's begin solving the problem.
= ( 8 ) ( - 5 ) + ( - 7 ) ( 3 )
First we will multiply the brackets together.
= ( - 40 ) + ( - 21 )
Next we will remove the brackets and change the positive ( + ) and negative ( - ) symbol into just a negative symbol, as a positive and negative always equals a negative as stated previously.
= - 40 - 21
Now we will simply subtract 21 from - 40 to achieve our final answer.
= - 61
Hope this helps! :)
Have a lovely day! <3
The supplement of 1/5 of a complete angle is 150degrees
Answer:
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