Answer: To simplify this problem you combine the like terms in the equation (numbers with the same variables.)
Demo: 12r + -4r = 8r
f(x) = mx + b
m = slope = -5
f(2) = 10 = (-5)(2) + b
b = 10 + 10 = 20
Ans. m=-5, b = 20
Answer: Choice A) An economic theory that is shared by the discipline of Psychology
Through the research I've found so far, the articles mention that economic choices have a psychological link. This is because economics is basically the study of human psychology (more or less) in terms of how to allocate resources and how best to use them. The law of diminishing marginal utility is basically the idea where the concept "more is always better" is simply not true. An example would be that you are at a restaurant and there's an endless buffet. The food isn't infinite and neither is the capacity of your stomach. After a certain point, you'll find that eating another burger isn't as satisfying as eating the first few burgers. You can think of it as a graph where the curve may start with a sharp increase, but eventually it levels off.
Side note: The term "affective habituation" may be used in psychology textbooks as something very similar to the law of diminishing marginal utility.
30. find the unit rate of 183 miles in 3 hours
IF you want me to show the unit rate in miles per hour here is the method to do that:
=> 183 miles / 3 hours = 61 miles per hour.
Thus the unit rate is 61 miles per hour or 61 miles /h
Now, if you want to see the unit rate in miles per minute then here is the method to do that:
=> 1 hour = 60 minutes
=> 3 hours = 180 minutes
=> 183 miles / 180 minutes = 1.02 miles per minute
Answer:
49π in²
Step-by-step explanation:
Step 1: Find the radius.
- To find radius given diameter, just divide the diameter by 2:
- 14/2 = 7, so the radius is 7.
Step 2: Apply area of circle formula.
- The formula to find the area of a circle is πr², where r = radius.
- Now, plug in the value of r: π(11)².
Step 3: Simplify.
Since we're finding the area in terms of pi, we don't have to multiply 121 by pi, so the answer is 49π in².