The speed is the distance covered by an object at a particular time. It will take Max 10.6 hours to catch up with Rachel.
<h3>What is speed?</h3>
The speed is the distance covered by an object at a particular time. Therefore, it is the ratio of distance and time.
Speed = Distance / Time
Given that Max leaves Las Vegas one hour after Rachel leaves. Also, the speed at which Rachel is travelling is 53 miles per hour. Therefore, the distance covered by Rachel in one hour is,
Distance covered by Rachel = 1 hour × 53 miles per hour = 53 miles
Now, the distance between Max and Rachel is 53 miles. Therefore, the time it will take Max to reach Rachel can be found as,
Time needed to catch up with Rachel = Distance / relative speed
Time = 53 miles / (58 mph - 53 mph)
= 53 miles / 5 mph
= 10.6 hours
Hence, it will take Max 10.6 hours to catch up with Rachel.
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Answer:
a(c-b) = d
Use the distributive property, which states: x(y-z) = xy - xz
a(c-b) = ac - ab
ac - ab = d
Add ab on both sides
ac = d + ab
Divide both sides by a to isolate c
(If you would, please mark branliest, I'm one away from getting Expert
Answer:
provides information about the strength of a relationship
Step-by-step explanation:
A numerical measure of strength in the linear relationship between any two variables is called the Pearson's product moment correlation coefficient.
The co efficient of correlation is a pure number denoted by r , independent of the units in which the variables are measured that can range from+1 to -1 .
The sign of r indicates the direction of the cor relation.
When r= 0 it does not mean that there is no relationship . For example if the observed values lie exactly on a circle , there is a relationship between variables but r = 0 as r only measure linear cor relation.
The 2nd statement given is the correct answer.
It is not related to ordinal or nominal properties and it does show direction.
Average rate of change of the function 
Solution:
Given function: 
from x = 1 to x = 5
Substitute x = 1 and x = 5 in f(x).
Let us find the average rate of change of the function.
Average rate of change
Here a = 1 and b = 5.
Substitute f(5) and f(1).
Average rate of change of the function
Answer is below in the picture:-
(From the problem, we know (triangle)ABC (round of equal of) (triangle)A'B'C'. So, <A'B'C' = <ABC {the properties of congruent triangles}. So, ray BC is the angle, bisector of angle ABA')
I hope it helps.
