Answer:
- b/a
- 16a²b²
- n¹⁰/(16m⁶)
- y⁸/x¹⁰
- m⁷n³n/m
Step-by-step explanation:
These problems make use of three rules of exponents:
In general, you can work the problem by using these rules to compute the exponents of each of the variables (or constants), then arrange the expression so all exponents are positive. (The last problem is slightly different.)
__
1. There are no "a" variables in the numerator, and the denominator "a" has a positive exponent (1), so we can leave it alone. The exponent of "b" is the difference of numerator and denominator exponents, according to the above rules.
__
2. 1 to any power is still 1. The outer exponent can be "distributed" to each of the terms inside parentheses, then exponents can be made positive by shifting from denominator to numerator.
__
3. One way to work this one is to simplify the inside of the parentheses before applying the outside exponent.
__
4. This works the same way the previous problem does.
__
5. In this problem, you're only asked to eliminate the one negative exponent. That is done by moving the factor to the numerator, changing the sign of the exponent.
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:
300 km in hour are the answers
2.8 is the correct answer :)
Answer: The center is (-7, 4) and the radius is 7.
Step-by-step explanation:
The equation for a circle usually is:
(x - a)^2 + (y - b)^2 = R^2
where R is the radius, and (a, b) is the center of the circle.
I guess that the equation in this case is:
(x + 7)^2 + (y - 4)^2 = 49
then, in this case we have:
a = -7 and b = 4, then (a, b) = (-7, 4)
this means that the center of our circle is in the point (-7, 4)
and we know that:
R^2 = 49
R = √49 = 7
Then the radius is equal to 7.
