Answer:50
Step-by-step explanation: I took the test
Given the equation representing the pathway of sam's dive into the swimming pool, his height after two seconds is -22ft.
<h3>What is a Quadratic Equation?</h3>
Quadratic equation is simply an algebraic expression of the second degree in x. Quadratic equation in its standard form is;
ax² + bx + c = 0
Where x is the unknown
Given the data in the question
- Equation of the pathway of sams dive into the swimming pool is h = -16t² + 15t + 12.
- Time t = 2.0 seconds
- Height h = ?
Now, to get the height after 2 seconds, we substitute 2 for t in the equation.
h = -16t² + 15t + 12.
If t = 2
h = -16(2)² + 15(2) + 12
h = -16(4) + 30 + 12
h = -64 + 30 + 12
h = -64 + 42
h = -22ft
Therefore, given the equation representing the pathway of sam's dive into the swimming pool, his height after two seconds is -22ft.
Learn more about quadratic equations here: brainly.com/question/1863222
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Okay, here we have this:
Considering the provided information, we are going to identify wich equation applies, so we obtain the following:

Where x represents the uknown number. Then finally we obtain that the correct equation is the third one.
Now, let's find the missing number solving the equation:

Finally we obtain that the number is equal to 19.
The height x of the right prism is 10 ft if the volume of this right prism is 2,500 ft³.
<h3>What is a rectangular prism?</h3>
It is defined as the six-faced shape, a type of hexahedron in geometry.
It is a three-dimensional shape. It is also called a cuboid.
From the figure:
Volume = 2500 cubic ft
(10)(x)(25) = 2500
250x = 2500
x = 10 ft
Thus, the height x of the right prism is 10 ft if the volume of this right prism is 2,500 ft³.
Learn more about the rectangular prism here:
brainly.com/question/21308574
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