Answer:
c. observational study
Step-by-step explanation:
<em>Researchers compare the rates of autism for children who did and did not receive the standard measles-mumps-rubella vaccine, to see if the vaccine might be responsible for autism in some children.</em>
This study design in the above scenario is observational study because the researcher are obviously observing whether the vaccine is affecting the children. Note that Observational study is like experiment which attempts to understand the cause and effect relationships on a subject.
Answer: she would catch up with Tom in 1 hour.
Step-by-step explanation:
Let t represent the time it will take for Mary to catch up with Tom.
Tom leaves his boat from a dock and travels at a rate of 25 miles per hour.
Distance = speed × time
Distance travelled by Tom in t hours is
25 × t = 25t
Ten minutes later, Mary leaves the same dock in her speedboat and heads after Tom. Converting 10 minutes to hours, it becomes 10/60 hour
Time spent by Mary is (t - 10/60) hours. If she travels at a rate of 30 miles per hour, it means that the distance that she would travel in
(t - 10/60) hours is
30(t - 10/60)
= 30t - 5
By the time she catches up with Tom, they would have covered the same distance. It means that
25t = 30t - 5
30t - 25t = 5
5t = 5
t = 5/5 = 1 hour
Answer:
An equation in function notation for the total cost of the book club will be:
Step-by-step explanation:
Given that Genesis needs to pay $12.00 for entrance into the book club.
Per month fee = $20.00
We know that the slope-intercept form of a linear function is

where m is the slope and b is the y-intercept
As the rate of change is also called the slope.
The rate of $20.00 per month would be termed as the slope = m = 20
One time fee = $12.00, meaning the y-intercept = b = 12
Thus, the equation becomes

- y represents the total cost
- x represents the duration
- m represents the rate of change = m = 20
- b represents the y-intercept = b = 12
y = 20x + 12
Therefore, an equation in function notation for the total cost of the book club will be:
Answer:. 95.33 ft/sec
Multiply 65 by 5280 to get 343200 feet per hour. Then Divide by 3600. There are 60 minutes in an hour, and 60 seconds in a minute.
343200 ÷ 3600 = 95.333
Step-by-step explanation:
Step-by-step explanation:
Below is an attachment containing the solution.