In 1906 Kennelly developed a simple formula for predicting an upper limit on the fastest time that humans could ever run distances from 100 yards to 10 miles. His formula is given by t equals . 0588 s Superscript 1.125 where s is the distance in meters and t is the time to run that distance in seconds. Find Kennelly's estimate for the fastest a human could possibly run 1604 meters. (Round to the nearest thousandth as needed)

For this case we need to replace the value of s = 1640 m in the formula and see what we got:

Step-by-step explanation:

For this case we assume the following function:

Where s is the distance in meters and t is the time to run that distance in seconds.

Find Kennelly's estimate for the fastest a human could possibly run 1604 meters. (Round to the nearest thousandth as needed)

For this case we need to replace the value of s = 1640 m in the formula and see what we got:

We can also find the derivate of this function respect to the time and we got:

And that would represent the rate of change of the time respect to the distance travelled.  

infinitely many solutions

step-by-step explanation:

we have been given the equation;

2(2x + 3) = -4 + 2(2x + 5)

we need to determine the value of x.

2(2x + 3), we expand this expression to obtain 4x + 6

similarly 2(2x + 5) will become 4x + 10

now we have;

4x + 6 = -4 + 4x + 10

4x + 6 = 4x + 10 - 4

4x + 6 = 4x + 6

the expression on the left hand side is identical to the one on the right hand side. therefore, we are looking at just a single straight line whose equation is;

y = 4x + 6

consequently, we shall have infinitely many solutions