The number of seconds it takes for the waste to hit the ground for the given function is: 5 seconds.
<h3>How to Evaluate a Function?</h3>
We are given the function of height to time as, h(t) = -16t² + initial height, and we have the following:
- h(t) = 0 (height of the ground is 0)
- t = seconds the waste takes to height the ground
- Initial height = 400 feet
Plug in the values into the equation of the function
0 = -16t² + 400
Solve for t
0 - 400 = -16t²
-400 = -16t²
-400/-16 = t²
400/16 = t²
√(400/16) = t
20/4 = t
5 = t
t = 5
The number of seconds it takes is: 5 seconds.
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Answer:
x=-4
Step-by-step explanation:
lol i cant explain
His average speed for the first trip is 43 mph
Since Brian's average speed is x and he travels the first part for 215 miles in time t.
So, his distance d = xt
Also, the travels 75 more miles at a speed of 15 mph.
Since distance = speed time, the time he takes to cover this distance is
t' = distance/speed = 75 mi/15 mph = 5 hours
Since he covers both distances in the same time, we have that t = t' = 5 hours.
So, his average speed for the first trip x = d/t
= 215 mi/5 h
= 43 mph
His average speed for the first trip is 43 mph
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Answer:
Explanation: If something (a number or pattern) in a decimal is repeating, then you can put it in fraction form like this. the pattern is 8 .
Hope this helps!-xoxo
Answer:
NF = 16
Step-by-step explanation:
Since N is the incenter of ΔABC then ND = NE = NF
ND = NE ⇔ 6x - 2 = 3x + 7 ⇔ 6x - 3x = 7 + 2 ⇔ 3x = 9 ⇔ x = 3
Now , we calculate ND:
ND = 6(3) - 2 = 18 - 2 = 16
and because NF = ND then NF is also equal to 16
