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zhenek [66]
1 year ago
10

75 POINTS PLEASE RESPOND ASAP

Mathematics
1 answer:
MrMuchimi1 year ago
5 0

ANSWER :

The pH level of a swimming pool indicates the level of acidity or alkalinity

of the swimming pool.

Correct Responses;

First Part:  Please find attached the required graph of the pH function created with MS Excel.

The pH value is 0 when x = 1

The pH value is 1 when x = 0.1

The pH level if the hydronium ions is raised to 0.50 is approximately 0.301029996.

Second Part: The transformation that results in a y-intercept is f(x + 1), because f(0 + 1) exists and is equal to 0.

STEPS

Method by which the above responses are obtained

First part

The given pH function is f(x) = -㏒₁₀x

Where;

x = The amount of hydronium ions

A substance with a pH < 7 is acidic

A substance with a pH > 7 is alkaline

A neutral solution has pH = 7

Water is a neutral solution

The graph of the pH function created with MS Excel is attached

The table of values of the graph is as follows;

From the graph, we have;

When the pH value is 0, the hydronium ion concentration is 1

The pH value is 1 when x = 1 × 10⁻¹ = 0.1

The pH level if the hydronium ions, x = 0.5 is given from the graph as follows;

pH = f(0.5) = -㏒₁₀(0.5) ≈ 0.301029996

The pH value when the hydronium ions is 0.5 is pH ≈ 0.301029996

Second Part

Using f(x) = -㏒₁₀x as the parent function, the graph of f(x) + 1, and f(x + 1) are plotted

From the graph, we have;

The graph of f(x) + 1 = -㏒₁₀x + 1

The graph of f(x + 1) = The graph of -㏒₁₀(x + 1)

At the y-intercept, x = 0, therefore;

f(x) + 1 = f(0) + 1 = -㏒₁₀0 + 1 = Undefined

f(x + 1) = f(0 + 1) = -㏒₁₀(0 + 1) = 0

Therefore;

The transformation that results in a y-intercept is f(x + 1) because f(0 + 1) is 0, which is defined.

Learn more about the pH here:

brainly.com/question/26145256

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Answer:

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Step-by-step explanation:

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If you've started pre-calculus, then you know that the derivative of  h(t)
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The derivative is            h'(t) = -32 t  +  96 .

At the maximum ...        h'(t) = 0

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___________________________________________

If you haven't had any calculus yet, then you don't know how to
take a derivative, and you don't know what it's good for anyway.

In that case, the question GIVES you the maximum height.
Just write it in place of  h(t), then solve the quadratic equation
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Subtract 150ft from each side:    -16t²  +  96t  -  144  =  0 .

Before you attack that, you can divide each side by  -16,
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I'm sure you can run with that equation now and solve it.    
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(Funny how the two widely different methods lead to the same answer.)

The answer is from AL2006

6 0
3 years ago
I NEED HELP LOLL<br><br><img src="https://tex.z-dn.net/?f=7%20%20%5Cfrac%7B1%7D%7B2%7D%20%20%5Cdiv%20%20%5Cfrac%7B3%7D%7B4%7D%20
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