1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
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

You might be interested in
PLZ HELP!!! question is in attachment
Triss [41]

Answer:

x = 72.5°

Step-by-step explanation:

x = 1/2(80 + 65)

x = 145/2

x = 72.5

4 0
3 years ago
Two shapes are shown below, one isosceles triangle and one rectangle. The dimensions can be represented by algebraic expressions
liberstina [14]

Answer:

Perimeter of Isosceles Triangle = 16 units

Step-by-step explanation:

Area of rectangle is given by the formula;

Area = 1/2 × base × height

From the diagram, base = 6x - 6 and height = 6x - 8

Thus,Area = 1/2 × (6x - 6) × (6x - 8)

Area = (3x - 3)(6x - 8) = 18x² - 42x + 24

Secondly, area of rectangle is given by;

Area = length x breadth

So, area of rectangle in question = (6x - 9)(3x - 2) = 18x² - 39x + 18

We are told both the area of the triangle and the rectangle are the same, so let's equate both areas;

18x² - 42x + 24 = 18x² - 39x + 18

18x² will cancel out and rearranging, we have;

24 - 18 = 42x - 39x

6 = 3x

x = 6/3

x = 2

Plugging 2 for x for the height and base of the triangle, we have;

base = 6(2) - 6 and height = 6(2) - 8

Base = 6 and height = 4

So,let's find the slant height of the isosceles triangle.

Dividing the base by 2,we have; 6/2 = 3

So,using Pythagoras theorem, let the slant height be h, so we have;

h² = 3² + 4²

h² = 9 + 16

h² = 25

h = √25

h = 5

2 slant sides of isosceles triangle are the same. So perimeter = 5 + 5 + 6 = 16 units

8 0
3 years ago
Juan says that the probability of picking two white marbles without replacing from a bag containing 3 solid white marbles and 5
Andru [333]
C brecause he’s innocent
3 0
3 years ago
Read 2 more answers
7. Sylvia made a poster shaped like the triangle shown below. (1 point)
marta [7]
The answer would be 12 inches. I have the most faith in my answer.
7 0
3 years ago
GUYS PLEASE HELP ME PLEAS PLEASE PLEASE FOR THE LOVE OF GOD
LenaWriter [7]

Answer: A

Step-by-step explanation: Just sreach it up BURH

6 0
3 years ago
Other questions:
  • A teacher deposits $3,000 in a retirement fund. If she doesn't add any more money to the fund, which earns an annual interest ra
    8·1 answer
  • A wagon was pulled 70 m down the spook-trail with a 1200 N of force. How much work<br> was done?
    9·1 answer
  • A university has 34,890 students. In a random sample of 270 students, 18 speak three or more languages. Predict the number of st
    15·1 answer
  • Please help me for the brainliest answer
    10·1 answer
  • Given a rectangle with lengths of 7 meters and widths of 5 metres,what would be the perimeter
    8·1 answer
  • Input value for the function machine that gives an output value of 3.
    14·1 answer
  • The scatter plot below shows the number of pizzas sold during weeks when different numbers of coupons were issued. The equation
    7·2 answers
  • 7 ⅓ ÷ 225 = <br> answer this question plz
    8·1 answer
  • PLEASE I NEED HELP QUICKLY!!! Find the solution for the given system of equations in the form (x,y).
    13·2 answers
  • Help please im marking brainliest
    9·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!