They are not inverse functions of one another. For f(x) and g(x) to be inverses of each other, f(g(x)) = x. In this case, pi(x+2/pi)-2 = pi* x, which is not x.
The answer is D. 9(y+3) and 27 + 9y
You would distribute the 9 to both the 3 and the y.
Answer:
This is an "Experiment" type of study
Step-by-step explanation:
Researchers use various methods or techniques to conduct research and draw conclusions from it. Some of these methods are given below
1. Experiment
2. Observational study
3. Anecdotal evidence
1. Experiment: In this type of study, researchers have control over their setup and they can give directions or apply any treatment on their subjects.
2. Observational study: In this type of study, researchers cannot give directions or apply any treatment on their subjects but rather they can only observe what is going on.
3. Anecdotal evidence: Also refers to experience and can be defined as personal experience based on something.
The study that we are given is clearly an example of "experiment" since half of the participants were to told walk 2 miles a day for 6 weeks. The researchers have control over their subjects in this case and they gave directions to their subjects to do this and that.
This could have been an observational study if researchers had selected 10 people who walked 2 miles a day for 6 weeks and 10 people who did not walk 2 miles a day for 6 weeks and simply measured their blood pressure and come to a conclusion. This way, it would have been a case of observational study.
Answer:
- <u>They can catch up with the bus at 10:40 am.</u>
Explanation:
1. Set the time when Liana and her mother can leave (8:40 am) as t₀ = 0; thus the time of driving for them will be t.
2. The average speed at whic Liana's mother drive: 60 miles/hour
3. Thus, the distance they will have driven will be:
- distance = average speed × time = 60t
4. The time the bus left was 8:00 am, which is 40 minutes before Liana and her mom can leave.
Thus, the time wil have driven when Liana and her mom have driven t hours minutes will be: t + 40 min / 60 min/ hour = t + 2/3
5. The average speed of teh bus is 45 miles / hour
6. The distance the bus will have driven will be:
- distance = average speed × time = 45(t + 2/3)
7. When Liana and her mother catch up with the bus, the distances driven by both of them are equal:
Thus, Liana and her mom can catch up with the bus after 2 hours, since 8:40 am; this is, 10:40 am.
15*5=75
79-75=4
If Luis gives each of his classmates 5 pencils each, he will have 4 leftover to give to his teacher
16*4=64
79-64=15
If Luis gives himself AND each of his classmates 4 pencils each, he will have 15 leftover to give to his teacher
So... If Luis decides to take an equal share of pencils along with his classmates, his teacher will receive more pencils.
