The function of the water balloon is an illustration of a quadratic function.
The balloon will splat on the ground after 2.5 seconds
The function is given as:

When the balloon splats on the ground, the value of h(t) is 0.
So, we have:

Expand the expression

Factorize the above expression

Factor out 2t - 5 in the 2t - 5

Split the equation into 2

Rewrite as:

Solve for t

The value of t cannot be less than 0 i.e. negative.
So, we have

Divide 5 by 2

Hence, the balloon will splat on the ground after 2.5 seconds
Read more about quadratic functions at:
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By taking the quotients between the areas, we see that:
<h3>
How to find the probabilities?</h3>
First we need to find the areas of the 3 shapes.
For the triangle, the area is:
T = 3*5/2 = 7.5
For the blue square, the area is:
S = 3*3 = 9
For the rectangle, the area is:
R = 10*6 = 60
Now, what is the probability that a random point lies on the triangle or in the square?
It is equal to the quotient between the areas of the two shapes and the total area of the rectangle, this is:
P= (7.5 + 9)/60 = 0.275
b) The area of the rectangle that is not the square is:
A = 60 - 9 = 51
Then the probability of not landing on the square is:
P' = 51/60 = 0.85
If you want to learn more about probability:
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Answer:
actually its depend on how is he working day by day
Answer:
y ≤ 6
Step-by-step explanation:
<u>Step 1: Convert words into an expression</u>
Forty six times y is no more than 276
46 * y ≤ 276
<u>Step 2: Solve for y</u>
46 * y / 46 ≤ 276 / 46
y ≤ 6
Answer: y ≤ 6
Correct answer:
"<span>D. As speed increases, height increases."
The x-axis is the one that indicates speed. The y-axis is the one that indicates height. As points of the represented line on the graph get bigger as to their x coordinate, they also get bigger on their y cordinate. When x increases, y increases also. This shows that their is a proportional relation between both the speed and height.</span>