An explorer in the dense jungles of equatorial Africa leaves his hut. He takes 40 steps northeast, then 80 steps 60 degrees nort

Answer:

Part A. At least 6 hours

Part B. In less than 2.5 hours, Elijah will fall behind Mercedes

Part C. In over 2.5 hours, Elijah will lead Aubrey

Step-by-step explanation:

D = distance

v = speed

t = time

Formula connecting D, v, and t:

Part A.

Steve's speed:

Distance: a minimum of 21 miles

Time: unknown, so

It would require Steve a minimum of 6 hours to traverse at least 21 miles on Day 1.

Part B.

Mercedes's speed:

Elijah's speed:

Elijah's Distance walked: miles

Mercedes's Distance walked: miles

Time: x hours

Mercedes is 2 miles ahead, therefore

Elijah will trail behind until

In 2.5 hours, Elijah will close the gap on Mercedes, and in less than 2.5 hours, Elijah will trail behind her.

Part C.

Aubrey's speed:

Elijah's speed:

Elijah's Distance walked: miles

Aubrey's Distance walked: miles

Time: x hours

At the beginning of Day 3, Elijah starts from Mile 42, while Aubrey begins at Mile 42.5.

Elijah will be ahead of Aubrey when

In 2.5 hours, Elijah will surpass Aubrey, and after more than 2.5 hours, Elijah will outpace Aubrey.

Answer:

Detailed steps:

y – 4 = –1 (x – 2)

y – 7 = –1 (x + 1)

y = –x + 6

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Answer:

The answer is the scatter plot that displays a pronounced positive slope along the curve of best fit.

Step-by-step explanation:

A scatter plot illustrates the relationships between two variables for an individual. It is essentially a graph in which a best-fit curve is drawn to encapsulate the complete dataset. A scatter plot is considered to have a robust correlation if the correlation coefficient is near r = 1, indicating a very strong connection between the two variables.

A scatter plot exhibits a solid correlation when its data points are closely aligned to the line or curve of best fit.

For r = 1, the correlation is regarded as strong and positive.

Answer:

As stated in the question, two tractors are pulling two identical stone blocks the same distance across similar surfacesAdditionally, block A moves at double the speed of block B when completing the race

This implies both blocks suffer from comparable friction loss

Moreover, we understand that

Energy loss from friction is

Thus, the friction loss should be identical for both blocks

therefore, option d is the accurate choice