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kkurt [141]
3 years ago
8

Have you ever been swimming in a pool, and your eyes were red when you get out? This means the chemicals in the pool were not ad

justed correctly! More specifically, the measurement of the pool's pH was not quite right. pH is a measurement of hydronium ions and can be modeled by the function f(x) = −log10x. The variable x represents the amount of hydronium ions, and f(x) gives the pH level. Different liquids have ideal pH values that are different. Water at 25 degrees Celsius has a pH of 7. Anything that has a pH less than 7 is called acidic, and a pH above 7 is basic, or alkaline. Seawater has a pH just more than 8, whereas lemonade has a pH of approximately 3. 1. Create a graph of the pH function either by hand or using technology. Locate on your graph where the pH value is 0 and where it is 1. You may need to zoom in on your graph. 2. Use your graph to find the ideal pH level if the amount of hydronium ions is raised to 0.50. 3. The pool company developed new chemicals that transform the pH scale. Using the pH function f(x) = −log10x as the parent function, explain which transformation results in a y-intercept and why. You may graph by hand or using technology. Be sure to label each transformation on the graph. f(x) + 1 f(x + 1)

Mathematics
1 answer:
soldier1979 [14.2K]3 years ago
3 0

pH = f(x) = -log₁₀x

1. Graphs

I used Excel to calculate the pH values and draw the graphs (see the Figure).

f(x) and f(x) +1 are plotted against the left-hand axis, while f(x+ 1) is plotted against the expanded right-hand axis.

The points at which pH = 0 and pH = 1 are indicated by the large red dots.

2. x = 0.5

When x = 0.5, pH ≈0.30. The point is indicated by the red diamond.

3. Transformations

(a) ƒ(x) = -log(x) + 1

This function has no y-intercept, because log(0) is undefined.

(b) ƒ(x +1) = -log(x + 1)

f(0) = -log(0 + 1) = -log(1) = 0

This function has a y-intercept at (0,0).

hope this helps please mark me brainliest!

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Please anybody help me in this
Simora [160]

Answer:

<h2>a) 0.38</h2><h2>b) 0.62</h2><h2>c) 0.78</h2><h2>d) 0.03</h2><h2>e) 0.02</h2><h2>f) 0.62</h2><h2>g) 0.38</h2>

Step-by-step explanation:

a)

Probability of a owner to be moved = \frac{total owner}{total Americans} = \frac{14.8}{39} = 0.379 ≅ 0.38

b)

Probability of a renter to be moved = \frac{total renters}{total Americans} = \frac{24.2}{39} = 0.62

c)

Probability of a person who moved in the same state = \frac{Persons who moved to the same state}{Total Americans} = \frac{30.4}{39} = 0.779 ≅ 0.78

d)

Probability of a person who moved to a different country = \frac{Total moved to different country}{Total Americans} = \frac{1.3}{39} = 0.033 ≅0.03

e)

Probability of a owner who moved to a different country = \frac{Owners that moved to different country}{Total people who moved to different country} = \frac{0.3}{14.8} = 0.02

f)

Probability of a renter moving in the same state = \frac{Renter that moved in the same state}{Total persons moved in the same state} = \frac{18.7}{30.4} = 0.615 ≅ 0.62

g)

Probability of an owner moved to different state = \frac{Owners moved in different state}{Total moved in different state} = \frac{2.8}{7.3} ≅0.38

3 0
3 years ago
Julio says, "if you subtract 14 from my number amd multiply the difference by -6, the results is -72." What is julios number
jarptica [38.1K]
The correct answer is 26
6 0
3 years ago
HELP ASAP I WILL MARK YOU BRAINLYEST PLEASE HURRY!!!!
mixas84 [53]
C = 2 pi r
C = 2 x 3.14 x 4.4
C = 27.632
C = 27.6 to nearest tenth.

answer
C = 27.6 cm


hope it helps
6 0
3 years ago
In a basketball game, Tatiana made 23 baskets. Each of the baskets was worth either 2 or 3 points, and Tatiana scored a total of
vekshin1

X+y=23 (x and y added equal the number of baskets made)

2x+3y=53 (since each basket is worth a certain amount of points, x and y must be multiplied by their amount of baskets and added together to get the total number of points)

Hope this helps!



4 0
3 years ago
Read 2 more answers
PLS HELP FIRST TO ANSWER GETS BRAINLEST
Darya [45]
Your answer is 32:Blue and 16:White
5 0
3 years ago
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