What is the answer please answer fast
1 answer:
Answer:
see the attachment
Step-by-step explanation:
First of all, we need to figure out which "category" each observation belongs to. Then we need to count the number of observations in each category and enter that count in the table.
I have numbered the categories 1-4 from top to bottom so that you can see how I have assigned observations to categories. The numbers on the right in the table are the ones the problem is asking for. (6, 2, 3, 3)
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Answer:
y - 5 = (x - 1)
Step-by-step explanation:
Note that =
Differentiate using the power rule
(a
) = na
Given
y = x = x.
=
, then
=
When x = 1
=
. 1 =
The equation of a line in point- slope form is
y - b = m(x - a)
where m is the slope and (a, b) a point on the line
Here m = and (a, b) = (1, 5), thus
y - 5 = (x - 1) ← equation of tangent
<h2>Hello!</h2>
The answer is:
They will be 10 miles apart after 3 hours.
<h2>Why?</h2>To calculate how long after they start will they be 10 miles apart, we need to assume that after 1 one hour, they were at the same distance (5 miles), then, calculate the time when they are 10 miles apart, knowing that Paul increased its speed two times, running first at 5mph and then, at 10 mph.
The time that will pass to be 10 miles apart can be calculated using the following equation:
Calculating the time to reach 5 miles for both Larry and Paul, at a speed of 5 mph, we have:
We have that to reach a distance of 5 miles, they needed 1 hour. We need to remember that at this time, they were at the same distance.
If we want to know how many time will it take for them to be 10 miles apart with Paul increasing its speed to 10mph, we need to assume that after that time, the distance reached by Paul will be the distance reached by Larry plus 10 miles.
So, for the second moment (Paul increasing his speed) we have:
For Larry:
Therefore, the distance of Paul will be equal to the distance of Larry plus 10 miles.
For Paul:
Then, there will take 2 hours to Paul to be 10 miles apart from Larry after both were at 5 miles and Paul increased his speed to 10 mph.
Hence, calculating the total time, we have:
Have a nice day!