Answer:
13.86 ft/sec
Step-by-step explanation:
If we let x = distance batter has run at time t and D = distance from second base to the batter at time t, then we know
and we want
when he is halfway (at x = 45).
Using Pythagoras theorem

When x=45


Thus, when the batter is halfway to first base, the distance between second base and the batter is decreasing at the rate of about 13.86 ft/sec.
Answer:
The instantaneous velocity at
is
.
Step-by-step explanation:
We have the position as the function

As we know that the velocity is the rate of change of position over time, so it is basically the derivative of the function.
so finding the derivate of 
∴ 
The instantaneous velocity at 

Therefore, the instantaneous velocity at
is
.
Please note that the negative value indicates the direction of movement, in this case, it would be backward.
Answer:
22
Step-by-step explanation:
From the pie chart described, the percent of people that responded that football was their favorite sport to watch is 42% which represents 210 of the people surveyed.
Let the number of people surveyed be x, then

Therefore, the number of people surveyed is 500 people.
Answer:
x = 11
Step-by-step explanation:
(3x + 28) + (5x + 52) + ( 2x - 10) = 180
(3x + 5x + 2x) + (28 + 52 - 10) = 180
10x + 70 = 180
10x = 180 - 70
10x = 110
x = 11