Randall's family drove to the beach for vacation. they drove the same speed throughout the trip. the first day, they drove 130 miles in 2 hours. the second day, they drove 325 miles in 5 hours. the third day, they arrived at the beach after driving for 6 hours. how many miles did they drive on the third day?

390 miles

Step-by-step explanation:

They drove the same speed throughout the trip means a constant speed.

A constant speed means that it does not change over a period of time and direction of motion. A simple formula, for this case (constant speed)

where x is distance and t time. The subtract is final value minus initial value

In the first day

if is the same speed then for the second day it must be equal, in fact

Now, we have the speed and time, then

x=v * t = 65 miles/h (mph) * 6 h = 390 miles

answer: 204

step-by-step explanation:

we are told that the revenue is

x⋅(4080−10x)=−10x^2+4080x

this is a quadratic function, so to maximize it we should find the x-value of its vertex. recall that the x-value of the vertex of the parabola ax^2+bx+c is given by the formula −b/2a.

so in this case, we have a=−10 and b=4080, so the x-value of the vertex is

−b/2a= −(4080)/2(−10)=204

think about the doctor who treated the major and the speaker in the short story "in another country." put yourself in the shoes of the doctor, and based on what you read in the story, write what you think his thoughts about the major and the speaker would be. use the following vocabulary in your response and change the form of these words as needed: detached resign withered