Question

for #34 - 42, match the vocabulary terms with their correct definition. (9 pts)

1. control group
2. experimental group
3. constant
4. independent variable
5. dependent variable
6. observation
7. inference
8. law
9. theory

a. what must be kept the same so that the data collected is reliable
b. an objective statement based on the five senses
c. the subjects or trials that are being manipulated
d. what is being measured in an experiment
e. explains why a phenomenon in nature occurs
f describes how something in nature happens
g. a standard used for comparison that serves as the
ormal\
h. a subjective guess based on what you see
i. what is purposefully being changed and tested in an experiment
bonus (2 points):
how many days are in 5,000 minutes?
bonus (4 points):
convert 65 miles per hour to meters per second.
conversion factors:
1 mile = 5,280 feet
1 meter = 3,281 feet
1 hour = 3,600 seconds

Explanation:

Step1: Convert minutes to hours

Since \(1\) hour \( = 60\) minutes, to convert \(5000\) minutes to hours, we use the formula \(t_{h}=\frac{t_{m}}{60}\).
\(t_{h}=\frac{5000}{60}=\frac{250}{3}\) hours.

Step2: Convert hours to days

Since \(1\) day \( = 24\) hours, to convert hours to days, we use the formula \(t_{d}=\frac{t_{h}}{24}\).
Substitute \(t_{h}=\frac{250}{3}\) into the formula: \(t_{d}=\frac{\frac{250}{3}}{24}=\frac{250}{3\times24}=\frac{250}{72}\approx3.47\) days.

Step1: Convert miles to feet

Given \(1\) mile \( = 5280\) feet, for \(65\) miles, the number of feet is \(d_{ft}=65\times5280 = 343200\) feet.

Step2: Convert feet to meters

Since \(1\) meter \( = 3.281\) feet, the number of meters \(d_{m}=\frac{343200}{3.281}\approx104602.26\) meters.

Step3: Convert hours to seconds

Given \(1\) hour \( = 3600\) seconds.

Step4: Calculate meters per second

The speed \(v=\frac{d_{m}}{3600}\). Substitute \(d_{m}\approx104602.26\) into the formula: \(v=\frac{104602.26}{3600}\approx29.06\) meters per second.

Answer:

For the first bonus: Approximately \(3.47\) days.
For the second bonus: Approximately \(29.06\) meters per second.