50mph
Step-by-step explanation:
The image of the motion of Paul's derive is attached already.
From the line graph we can obtain a lot of information that will help us unravel the average speed of Paul within the given time frame.
What is average speed?
Average speed is the rate of change of total distance covered with time taken .
Average speed = 
To find the total distance covered;
Distance at time 1 = 75miles
Distance at time 4 = 225miles
Distance covered between 1 - 4 = 225 - 75 = 150miles
Time taken for the journey = 4 - 1 = 3hrs
Input the values in the equation;
Average speed =
= 50mph
learn more:
Speed and motion brainly.com/question/10048445
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Answer:
b
Step-by-step explanation:
For clarity, f(x)=x^2+x-6/x^3-1 should be written as:
x^2 + x - 6
f(x) = ------------------
x^3 - 1
Note that the denominator, x^3 - 1, factors as follows: (x - 1)(x^2 + x + 1). If we set these results = to 0 individually, we find that there is only one real root; it is x = 1. We cannot divide by zero, so conclude that the given function is undefined at x = 1. Thus, the function has the vertical asymptote x = 1.
Note that x^2 in the numerator is of a higher power than is x^3 in the denominator. As x grows large without bound, either + or - , this ratio x^2/x^3 approaches zero. Thus, the horizontal asymptote is y = 0.
The correct answer choice is (b).
I don't understand why the battery needs 120 amps of current to charge. But if that's what it takes, then the same 120 amps will charge it each time.
Answer:
B. 4mm
Step-by-step explanation:
A cube is a 3d square, so the length, width, and height are equal. To find the volume you have to times all three of those things. 4^3 or 4 * 4 * 4, is 64.
For example, lets take

We need to first factor the numerator and denominator to find the common numbers which we can simplify it by.

If we divide by 5 x 5 on both the numerator and denominator because both of them have it in common, we will get the simplest form.