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SpyIntel [72]
3 years ago
12

A rock is thrown upward from the top of a 112-foot high cliff overlooking the ocean at a speed of 96 feet per second. The rock's

helght above ocean can be modeled by the equation H(t) = - 16t ^ 2 + 96t + 112 . What is the maximum height in feet, that the rock will reach? Do not include units in your answer
Mathematics
2 answers:
Tasya [4]3 years ago
3 0
The answerrrrrrrrrrrrrr is 256
Lelechka [254]3 years ago
3 0

Answer:

256 feet

Step-by-step explanation:

To find the maximum height, we have to find the vertex of the parabola, which is formed by the situation.

First, find the axis of symmetry using -(b/2a). This will give us the x value of the vertex.

Plug in b into the equation:

-(b/2a)

-(96 / 2(-16))

-(96 / -32)

-(-3)

= 3

Now, plug in 3 as x into the given equation, to find the maximum height that the rock will reach:

H(t) = -16t² + 96t + 112

H(3) = -16(3²) + 96(3) + 112

H(3) = 256

So, the maximum height that the rock will reach is 256 feet

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Answer:

p-value: 1.000

There is enough evidence at the 1% level of significance to suggest that the proportions are not equal.

Step-by-step explanation:

We will be conducting a difference of 2 proportions hypothesis test

The hypothesis for this test is:

H_0:  p1 - p2=0

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(p1 ) = 252/300 = 0.84

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3 years ago
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Umm..can you help  i dont get it.
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3 years ago
Find the value of c and AB if B is between A and C,AB=2r,AC=-5and BC=7​
elena-14-01-66 [18.8K]

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6 0
3 years ago
Hi, can someone please help, and possibly explain the answer please.
mr_godi [17]

Answer:

x=\frac{-(-2)\±\sqrt{(-2)^2-4(3)(0)} }{2(3)}

Step-by-step explanation:

Quadratic formula: x=\frac{-b\±\sqrt{b^2-4ac} }{2a} when the equation is 0=ax^2+bx+c

The given equation is 1=-2x+3x^2+1. Let's first arrange this so its format looks like y=ax^2+bx+c:

1=-2x+3x^2+1

1=3x^2-2x+1

Subtract 1 from both sides of the equation

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Now, we can easily identify 3 as a, -2 as b and 0 as c. Plug these into the quadratic formula:

x=\frac{-b\±\sqrt{b^2-4ac} }{2a}\\x=\frac{-(-2)\±\sqrt{(-2)^2-4(3)(0)} }{2(3)}

I hope this helps!  

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3 years ago
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