14 students play a brass instrument :)
Answer:
I) There are
hours in 1 year.
II) The exact number of hours in one year is
hours.
Step-by-step explanation:
Given : 1 hour=3600 seconds
1 year = 31556952 seconds.
To find :
I) Use scientific notation to estimate the number of hours in one year.
1 day = 24 hours
1 year = 365 days
So, number of hours in one year is given by,

In scientific notation,

So, there are
hours in 1 year.
II) 1 year = 31556952 seconds.
1 hour = 3600 seconds
In one year the number of hour is given by,


In scientific notation,

So, the exact number of hours in one year is
hours.
III) In two or more complete sentences, compare your answers to parts I and II. In your comparison, discuss similarities and differences.
- The exact numbers of hours using 365 days is 8760 which is written as
in scientific notation but using the given data we get
hours.
- Comparing these answers the first one has only 3 significant figures and the second answer has six significant figures.
- If we round these we get
hours which has two significant numbers.
Answer:
Line d : y = -3x - 3
Line e : y = -3x - 2
Line f : y= -3x + 2
Step-by-step explanation:
Given that,
The slope of each line is -3.
Now,
We know that,
Equation of line is represented by y = mx + c
where m is the slope and c is the y-intercept.
Now,
Given that,
Line d goes through (0, - 3) and (- 1, 0).
So,
y-intercept of Line d is -3
∴ we get
Equation of Line d is : y = -3x -3
Now,
Given that,
Line e goes through (-1, 2) and (0, -2).
So,
y-intercept of Line e is -2
∴ we get
Equation of Line e is : y = -3x - 2
Now,
Given that,
Line f goes through (0, 2) and (1, -1).
So,
y-intercept of Line e is 2
∴ we get
Equation of Line f is : y = -3x + 2
Answer:
Option b) is correct.
The completed factor of given expression is 
Step-by-step explanation:
Given expression is 
To find the completed factor for the given expression:
:
Taking the common number "2" outside to the above expression we get

Now rewritting the above expression as below
(since 16 can be written as the number 2 to the power of 4)

The above expression is of the form 
Here
and 
Therefore it becomes

The above expression is of the form 
Here
and 
Therefore it becomes
Therefore
Option b) is correct.
The completed factor of given expression is 