Answer:
I'm pretty sure that'd be 8567
I’m pretty sure c is supposed to be 37.4 instead of 27.4
Step-by-step explanation:
Simplify 1/125
1/125 . (x3))-1) ÷ 3
(x3
(———)-1) ÷ 3
125
3.1 x3 raised to the minus 1 st power = x( 3 * -1 ) = x-3
3.2 125 = 53 (125)-1 = (53)(-1) = (5)(-3)
x(-3)
——————— ÷ 3
(5)(-3)
x(-3)
Divide ——————— by 3
(5)(-3)
Answer: 125
/3x3
Answer:
71.57
Step-by-step explanation:
Answer:
0.98 seconds
Step-by-step explanation:
We assume the height of the volleyball is described by the equation for ballistic motion. We want to find the time it takes for the height to become zero.
__
<h3>motion equation</h3>
The general form of the equation of height for ballistic motion is ...

The coefficient 16 in the equation is an approximation of 1/2g, where g is the acceleration due to gravity in ft/s². This means the units of time and distance are expected to be seconds and feet.
For the problem at hand, the initial velocity and height are 10.5 ft/s and 5 ft. Then the height equation is ...
h(t) = -16t² +10.5t +5
__
<h3>reaction time</h3>
Marsha has until the ball hits the ground to react to the serve. To find out how long that is, we need to solve the height equation for t when h=0. This is most easily done using the quadratic formula with ...
The solution is ...

The positive solution is ...
t ≈ 0.976327 ≈ 0.98
Marsha has about 0.98 seconds to react before the volleyball hits the ground.
_____
<em>Additional comment</em>
After about 0.33 seconds, Marsha knows she doesn't need to react at all. The serve will not clear the net. Its maximum height is about 6' 8 5/8". A women's volleyball net is 7' 4 1/8" high. Jennifer's serve velocity must be at least 12.3 ft/s for the ball to go over the net. With that upward velocity, Marsha has about 1.06 seconds to react.