H (t) = - 16t ^ 2 + 16t + 480
For this case, the first thing to do is to match the polynomial to zero to find the roots.
We have then:
0 = -16t ^ 2 + 16t + 480
From here, we obtain the following roots of the polynomial:
t1 = -5
t2 = 6
We ignore the negative root because the time is always greater than zero.
Answer:
it takes Rose to hit the water about
t = 6 seconds
Answer:

Step-by-step explanation:
The picture of the question in the attached figure
step 1
we know that
----> by complete circle
substitute the given values

solve for x

step 2
Find the measure of arc JM

substitute the value of x

In 1 min it receives 3815/35=109 so in 1 hour it receives 109x60=6540 calls
Part A:
To determine the values of the times to which the height of the two cannon balls are the same, we equate the given functions.
H(t) = g(t)
Substitute the expressions for each.
-16t² + 48t + 12 = 10 + 15.2t
Transpose all the terms to the left-hand side of the equation.
-16t² + (48 - 15.2)t + (12 - 10) = 0
Simplifying,
-16t² + 32.8t + 2 = 0
The values of t from the equation are 2.11 seconds and -0.059 seconds
Part B:
In the context of the problem, only 2.11 seconds is acceptable. This is because the second value of t which is equal to -0.059 seconds is not possible since there is no negative value for time.
18*2.50=45
50-45=5
highlighters cost $3 so she only bought 1 highlighter.
5-3=2
45+3=48
(18*2.50)+(1*3)=$48
(The last 2 dollars are probably tax)