6^-2 , 6^3/6^5 , 6^-9 • 6^7. I believe these are the expressions that are equivalent to 1/36.
Answer: $0
Step-by-step explanation:
every six months means the game loses 25%*2 per year = 50%
2 years would be 50%*2 = 100%
Therefore, if the game loses 100% of its value in 2 years, it will be free.
Answer:
32$ < x < 48$
Step-by-step explanation:
Erika estimates that her destination is between 200 and 300 miles away.
When we divide 200 with 25 miles we get 200/25 = 8 gallons
When we divide 300 with 25 miles we get 300/25 = 12 gallons
When we multiply 8 · 4 = 32$ we get amount of money for destination
200 miles x = 32$
When we multiply 12 · 4 = 48$ we get amount of money for destination
300 miles x = 32$
Since that the estimate destination is between 200 miles and 300 miles
then the best estimate for the amount of money is between
32$ < x < 48$
God with you!!!
Remember that the difference between census and a sample survey is that in a census you take all the people of population in consideration in the study, and in the sample survey you take a part of that population in consideration to survey.
SO here if you check the problem it says that "in a recent poll, Pew reserchers found that 47% OF AMERICAN ADULT RESPONDENTS"
that is the population of the study that you want to focus, but there are a billion of american adult in US right? so its impossible that this company Pow Research made a census if you consider that a billion of people in US is almost infinite number for a company with a finite number of employees.
Also remember that a company has a budget to consider every month or every year, so to make a census or a sample survey it takes time and money, just to survey 10 people in a streeth of US cost money so if you want to reduce cost you might need to do a sample survey instead of a census.
Answer:

Step-by-step explanation:
Given:
Center of circle is at (5, -4).
A point on the circle is 
Equation of a circle with center
and radius 'r' is given as:

Here, 
Radius of a circle is equal to the distance of point on the circle from the center of the circle and is given using the distance formula for square of the distance as:
Using distance formula for the points (5, -4) and (-3, 2), we get

Therefore, the equation of the circle is:

Now, rewriting it in the form asked in the question, we get
