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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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posledela
There would be only 16 fluid ounces in 1 pint.

We would know this mainly because in 1 fluid ounces, there would only be 0.0625. If we then multiply this by 16, it would give us 1.

Your answer 16.
8 0
2 years ago
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How many milliliters of syrup are in a 100-ml sample containing 6.55 g of syrup per 20 mL if the syrup's specific gravity is 1.3
sashaice [31]

Answer:

25 milliliters

Step-by-step explanation:

Given:

volume of sample = 100 ml

Syrup present in sample = 6.55 g per 20 mL

Therefore in 100 mL, amount of syrup present = \frac{\textup{6.55}}{\textup{20}}\times100

or

amount of syrup present in 100 mL sample = 32.75 grams

Now,

Specific gravity of the syrup = 1.31

also,

Specific gravity of the syrup = \frac{\textup{Density of syrup}}{\textup{Density of water}}

or

1.31 = \frac{\textup{Density of syrup}}{\textup{1 g/mL}}

or

Density of syrup = 1.31 g/mL

also,

Density = \frac{\textup{Mass}}{\textup{Volume}}

therefore,

1.31 = \frac{\textup{32.75}}{\textup{Volume of syrup in the sample}}

or

Volume of syrup in the sample = \frac{\textup{32.75}}{\textup{1.31}}

or

Volume of syrup in the sample = 25 milliliters

8 0
3 years ago
HELP ASAP!
enot [183]

Answer:

I believe the answer is (-1,5)

Step-by-step explanation: because when you draw it out on a coordinate plain (-1,5) lies right in the middle of these two points.

4 0
2 years ago
Factor the expression using<br>the greatest common factor:<br>27x + 45​
Ghella [55]

Answer:

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Step-by-step explanation:

8 0
3 years ago
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Is B the answer??? PLEASE HELP
NARA [144]
Yes, you are correct!
6 0
3 years ago
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