The maximum height the ball reaches is 65.92 m.
The time taken for the ball to reach the maximum height is 3.06 seconds.
The time taken for the ball to hit the ground is 6.12 seconds.
<h3>maximum height the ball reaches</h3>
The maximum height the ball reaches is calculated as follows;
s(t) = -4.9t² + 30t + 20
at maximum height, final velocity = 0
v = 0
ds/dt = -9.8t + 30 = 0
9.8t = 30
t = 30/9.8
t = 3.06 seconds
s(3.06) = -4.9(3.06)² + 30(3.06) + 20
s(3.06) = 65.92 m
Thus, the time taken for the ball to reach the maximum height is 3.06 seconds.
<h3>Time of flight of the ball</h3>
The time taken for the ball to hit is the total time of flight = 2 x 3.06 seconds = 6.12 seconds.
Thus, the maximum height the ball reaches is 65.92 m.
The time taken for the ball to reach the maximum height is 3.06 seconds.
The time taken for the ball to hit the ground is 6.12 seconds.
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Answer:
b. 0.38.
Step-by-step explanation:
You either win a prize or you don't. There are only 2 possibilities so the probability of not winning a prize = 1 - 0.62 = 0.38.
The function relating in indira‘s height to the number of hours she mountain climbing is: y = -36.5x + 182.5
A linear equation is given by:
y = mx + b;
where m is the slope(rate of change), b is the initial value of y, y is the dependent variable and x is the independent variable.
Let x represent the number of hours spent climbing the mountain and y represent the distance above see level.
She starts at 182.5 meters above sea level, hence; b = 182.5 meters
She descends 36.5 meters each hour, hence m = -36.5 meter per hour
Therefore the equation becomes:
y = -36.5x + 182.5
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The statement best describes Cheryl's computer is option C. Cheryl accelerated to 65 mph, drove at a constant speed for 5.5 minutes, and then decelerated to 45 mph.
<h3>How to find the function which was used to make graph?</h3>
A graph contains data of which input maps to which output.
Analysis of this leads to the relations which were used to make it.
If we know that the function crosses the x-axis at some point, then for some polynomial functions, we have those as roots of the polynomial.
Let's assume the graph of Cheryl's commute was like the one below.
We can see that she started at 0 mph.
One minute later, she was up to 65 mph, so she had accelerated (increased her speed).
At 6.5 min (5.5 min later) her speed was still 65 mph therefore, she was driving at a constant speed.
Over the next 2.5 min, her speed dropped to 45 mph, therefore she was decelerating.
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green pepper, onion, tomato
= 2x, 5x, 9x
Number of cups = 96
therefore 2x + 5x + 9x = 96
16x=96
x= 96÷16 = 6
Onion = 5x
therefore answer = 6 x 5 = 30
C. 30 is the correct answer :)
