The “strike zone” or distance across home plate is 17 inches. Determine how long a baseball pitched at 90 mph is in the strike zone. Show your work

The ball will spend 10,730.4012 microseconds in the strike zone

Step-by-step explanation:

Here, we want to calculate the time spent by a ball in the strike zone given the distance across the strike zone and the speed of the ball

Mathematically, we have ;

time = distance/speed

Before we proceed to use this formula, we need to have the parameters in the same units

So let’s convert 17 inches to miles

Mathematically;

1 inch = 1.578 * 10^-5 mile

So 17 inches = 1.578 * 10^-5 * 17 = 0.00026826 miles

So let’s now calculate the time

That will be;

0.00026826/90 = 0.000002980667 hours

It will be best if we convert this to seconds

Mathematically,

60 seconds = 1 minute

60 minutes = 1 hour

So the number of seconds in an hour is 60 * 60 = 3600 seconds

= 0.000002980667 * 3600 = 0.0107304012

Mathematically, 1 second = 10^6 microseconds

Thus multiplying 0.0107304012 by 10^6

we have; 10,730.4012 micro seconds

guess at question:

a vertical line intersects the graph of g(x,y) = 0 at two points. what conclusion follows about the function f(x) implicitly defined by g(x,f(x)) = 0?

the domain of f(x) cannot include the x coordinate of any such vertical line.

informally, f(x) is not a function, and

g(x,y)=0 cannot be solved for y uniquely.

the relation r = {(x,y) such that g(x,y) = 0} is a function if

for all (a,b) ∊ r and (c,d) ∊ r, a=c implies b=d.

step-by-step explanation: