Answer:
a) See the file below, b)
, c) 
Step-by-step explanation:
a) Points moves clockwise as t increases. See the curve in the file attached below. The parametric equations describe an ellipse.
b) The arc length formula is:
![s = \int\limits^{0.5\pi}_{-0.25\pi} {[\left( 3\cdot \cos t\right)^{2}+\left(-5\cdot \sin t \right)^{2}]} \, dx](https://tex.z-dn.net/?f=s%20%3D%20%5Cint%5Climits%5E%7B0.5%5Cpi%7D_%7B-0.25%5Cpi%7D%20%7B%5B%5Cleft%28%203%5Ccdot%20%5Ccos%20t%5Cright%29%5E%7B2%7D%2B%5Cleft%28-5%5Ccdot%20%5Csin%20t%20%5Cright%29%5E%7B2%7D%5D%7D%20%5C%2C%20dx)
c) The perimeter of that arc is approximately:


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:
the second
Step-by-step explanation:
The average of scores is 160.5
Step-by-step explanation:
Mean is the sum of all values divided by the number of values.
Given scores are:
138,151,198,147,156, and 173
The formula for average score is given by:

Putting values

The average of scores is 160.5
Keywords: Mean, Average
Learn more about mean at:
#LearnwithBrainly