Paloma has 3 jackets, 6 scarves, and 4 hats. What is the number of different outfits consisting of a jacket, a scarf, and a hat
1 answer:
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Write the first few terms of the sequence.
f₁ = 6
f₂ = f₁ + 5 = 11
f₃ = f₂ + 5 = 16
f₄ = f₃ + 5 = 21
and so on
The sequence is
6, 11, 16, 21, ...,
This is an arithmetic sequence with a common difference of 5.
In function notation, the sequence is
This represents the equation of a straight line with n as the independent variable and f as the dependent variable.
The slope is 5.
A graph of the line is shown below.
Answer:
The sequence is
The slope is 5.
f₁ = 6
f₂ = f₁ + 5 = 11
f₃ = f₂ + 5 = 16
f₄ = f₃ + 5 = 21
and so on
The sequence is
6, 11, 16, 21, ...,
This is an arithmetic sequence with a common difference of 5.
In function notation, the sequence is
This represents the equation of a straight line with n as the independent variable and f as the dependent variable.
The slope is 5.
A graph of the line is shown below.
Answer:
The sequence is
The slope is 5.
Answer:
John is running faster.
Step-by-step explanation:
Given that:
Average Speed of Anne = 6 miles per hour
Speed of John can be represented in the table below:
To find:
Who is running faster of the both i.e. Anne and John?
Solution:
Here, to find the faster runner we can compare the average speed of both the runners.
We are given that, average speed of Anne = 6 miles per hour
We will have to calculate the average speed of John to find the faster runner.
<em>Average speed</em> can be calculated by dividing the total distance traveled with the total time taken.
Total distance traveled by John = 11.5 - 1 = 10.5 miles
Total time taken by John = 1.5 hours
Average speed of John =
Clearly Average speed of John is greater than that of Anne's.
Therefore, <em>John runs faster</em>.