The average speed for his entire journey from York to Blackpool is about 61.41 km/h.
Here’s a breakdown of how we arrive at this:
The distance he travelled from York to Leeds is 45 km,
and the speed during that section was 54 km/h.
Therefore, the time taken to travel from York to Leeds is 45/54 hours (since Time = Distance/Speed).
Next, the distance from Leeds to Blackpool is 42 km,
and the time for that leg of the journey is 35 minutes, which is 35/60 hours.
This leads to the total duration for his trip as
hours.
The cumulative distance covered equals 45 + 42 = 87 km.
Thus, his average speed is calculated as:
The initial height of the candle is 14.8 inches.
Answer:
Steven is mistaken.
Step-by-step explanation:
Steven has
- 9 unique shirts
- 5 unique hats
- 4 unique scarves.
He selects only two out of the three types of clothing. The combinations can be calculated as
-
options to select a shirt and a hat; 
options to select a hat and a scarf;
options to select a shirt and a scarf.
In total, there are
different methods to choose just two out of the three clothing items.
As a result, 
Steven is not correct.
Response:
, indicating the amount of earnings per working hours, designated as x
Detailed Explanation:
We have two distinct functions to analyze:
This function delineates the earnings based on units of x
Then the second function is
which illustrates the quantity of gallons of ice cream produced by Barrett each hour, with x representing the hours worked.
Our aim is to determine the composite function
resulting from substituting the output of 
as input for 
. Within this framework, the function signifies the amount of money accrued per number of working hours, x.
By substituting g(x) into the x variable of f(x), we obtain:
