For a function to have a derivative in a point has to be continuous at the point, that is, it has to be defined at that point, other wise the derivative would be meaningless.
It will take 0.4 seconds to get to the home plate.
Given:
The speed of the pitch thrown by Justin is 100 miles per hour
The distance of home plate from the pitching rubber is 60.5 feet
To find:
The time taken by a pitch to reach the home plate
Solution:
The distance home plate from the pitching rubber = d = 60.5 feet

The speed of pitch thrown by Justin = s = 100 miles/hr
The time taken by a pitch to reach the home plate = t =?
The speed of the moving object is given by dividing the distance covered from the time taken to cover that distance.

In an hour there are 3600 seconds, then in 0.000114583 hours will be:

It will take 0.4 seconds to get to the home plate.
Learn more about conversions here:
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The Answer is A, 38 people per square mile.
I hope I have helped you achieve your desired grade:)
So we have 5x+15y=45
simplify and undistribute 5 from both sides
5(x+3y)=5(9)
divide both sides by 5
x+3y=9
multiply both sides by 6
6x+18y=54
if it was 6x+18y then the answer is 54
if it was 6x-18y, then I don't know the answer
Answer: 20 feet
Step-by-step explanation:
This represents a right angled triangle with the length of the slide being the hypotenuse, the height of the ladder being the height of the triangle and the distance from the base of the ladder being the length.
Solve with Pythagoras rule:
c² = a² + b²
c = hypotenuse
a= length
b = height
29² = 21² + b²
841 = 441 + b²
b² = 841 - 441
b² = 400
b = √400
b = 20 feet