Use the formula h(t) = -16t^2 + vt + s,
where t = time in air,
v = starting upward velocity,
s = the objects starting height.
from ground (s), the starting height is 0,
the ball's initial velocity (v) 25 feet per second
Solve:
v - 16t^2 + (25)t + 0
= -16t^2 + 25t. 0
Factor:
= -16t^2 + 25t
Find GCF:
0 = -16t^2 + 25t
Divide both sides by (t)
t(-16 + 25) = 0
t = 0; -16 + 25 = 0
Now Subtract 25 from both sides of equation:
-16 = -25
divide both sides by -16 to get -25/-16
= 1.56
Rounds to 1.60, or 1.6
Answer: 1.6 Seconds it will take for soccer ball to hit the ground again.
First part of the Equation: Answer: 9.8Ft. Soccer ball will reach at maximum height.
Hope that helps!!!! : )
<span>A) y=-2x+19
B) y=x+7
Multiplying B) by -1
B) -y = -x -7 then adding it to A)
A) y = -2x + 19
3x = 12
x = 4
y = 11
</span>
Answer:

Step-by-step explanation:
We are given the following in the question:
Manager's claim: The mean guest bill for a weekend is $600 or less.
A member of the hotel’s accounting staff noticed that the total charges for guest bills have been increasing in recent months.
A sample of weekend guest bills were collected to test the manager’s claim.
We design the null and alternate hypothesis in the following manner:

Conclusion when null hypothesis cannot be rejected:
When we fail to reject the null hypothesis and accept the null hypothesis, thus, we have enough evidence to support the manager's claim that the mean guest bill for a weekend is $600 or less.
Conclusion when null hypothesis can be rejected:
When the null hypothesis is rejected, we accept the alternate hypothesis.
Thus, there are not sufficient evidence to support the manager's claim that the mean guest bill for a weekend is $600 or less.