Answer:
44 mph
Step-by-step explanation:
Given that:
Before lunch :
Time taken = 2hrs ; at speed = x mph
After lunch :
Time taken = 3hrs ; at speed = x + 10 mph
Total distance covered = 250 miles :
Distance = speed * time
(2 * x) + (3 * (x + 10)) = 250
2x + 3x + 30 = 250
5x + 30 = 250
5x = 250 - 30
5x = 220
x = 220/ 5
x = 44 mph
Rate before lunch is 44mph
The exact value of the y in the similar right triangle is 2.2360679775 units
<h3 /><h3>How to find the side of a triangle?</h3>
The triangles are similar.
Similar triangles have corresponding sides of equal ratio.
The corresponding angles of similar triangle are equal.
Therefore, using similar ratio,
y / 5 = 1 / y
cross multiply
y × y = 5 × 1
y² = 5
square root both sides
y = √5
Therefore,
y = 2.2360679775 units
learn more on triangles here: brainly.com/question/2773823
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Answer:
We select the option c.

Step-by-step explanation:
<u>Best Fit Regression Model</u>
Scientists often wonder if there is a relationship between the variables under study. It's a vital matter in modern times where artificial intelligence technology is struggling to find answers where traditional approaches hadn't before.
The most-used tool to find relations between variables is the regression model and its best fit lines to try to find an expression who relates variable x (years from 1960) and variable y (minimum wage requirement) as of our case.
The data was entered into a digital spreadsheet and an automatic function was applied to find the best-fit model.
The automated tool's output was this equation:

That can be rounded to three decimals

We select the option c.
Answer:

Step-by-step explanation: