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marshall27 [118]
3 years ago
12

I really need help with this. English isn't my first language, and I've asked 3 different people and no one is able to explain t

his to me at all. I do online school, and the teachers aren't allowed to do anything that falls along the lines of tutoring. Thank you very much!
----
If you ever swam in a pool and your eyes began to sting and turn red, you felt the effects of an incorrect pH level. pH measures the concentration of hydronium ions and can be modeled by the function p(t) = −log10t. The variable t represents the amount of hydronium ions; p(t) gives the resulting pH level.

Water at 25 degrees Celsius has a pH of 7. Anything that has a pH less than 7 is called acidic, a pH above 7 is basic, or alkaline. Seawater has a pH just more than 8, whereas lemonade has a pH of approximately 3.

Mathematics
1 answer:
hammer [34]3 years ago
8 0
If you ever swam in a pool and your eyes began to sting and turn red, you felt the effects of an incorrect pH level. pH measures the concentration of hydronium ions and can be modeled by the function p(t) = −log10t. The variable t represents the amount of hydronium ions; p(t) gives the resulting pH level.

Water at 25 degrees Celsius has a pH of 7. Anything that has a pH less than 7 is called acidic, a pH above 7 is basic, or alkaline. Seawater has a pH just more than 8, whereas lemonade has a pH of approximately 3.
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.
The pool maintenance man forgot to bring his logarithmic charts, and he needs to raise the amount of hydronium ions, t, in the pool by 0.50. To do this, he can use the graph you created. Use your graph to find the pH level if the amount of hydronium ions is raised to 0.50. Then, convert the logarithmic function into an exponential function using y for the pH.
The pool company developed new chemicals that transform the pH scale. Graph the parent pH function p(t) = −log10t and the transformations below on the same graph. Send the graph to your partner. Your partner will explain which transformation results in a y-intercept and why. You may graph by hand or using technology. Use complete sentences.
p(t) + 1
p(t + 1)
−1 • p(t)
Image by goodtextures: http://fav.me/d2he3r8
p(t)=-log(t)
p(.5)=-log(.5)= 0.3

y=-log ^(0.5)
10^-y= 0.5
10
p(t)+1
Red line on graph, this transformation has shifted up by 1. This translation doesn't result in a y-intercept.
p(t+1)
Blue line on graph, this transformation is shifting to the left by 1. This translation results in a y-intercept because it crosses the y-axis.
<span>-1 p(t) </span>
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The ratio of boys to girls in Ms. smith’s class is 3 to 4. If there are 12 boys, how many girls are there?
Lorico [155]

✧・゚: *✧・゚:*    *:・゚✧*:・゚✧

                  Hello!

✧・゚: *✧・゚:*    *:・゚✧*:・゚✧

❖ There will be 16 girls.

The relationship is x4. If we multiply 3 x 4, we get 12. What we do to one number we do to the other so 4 x 4 = 16.

~ ʜᴏᴘᴇ ᴛʜɪꜱ ʜᴇʟᴘꜱ! :) ♡

~ ᴄʟᴏᴜᴛᴀɴꜱᴡᴇʀꜱ

4 0
3 years ago
Dr. Jon planned to reward his class with candy because everyone got a A on the test. He surveyed every 4th student that entered
USPshnik [31]
This is an example of a systematic sample.

Dr. Jon developed a system in order to get a random sample. His plan was to survey the 4th student that entered his classroom.
8 0
3 years ago
Look at the problems 2.3×3.68 and 23×368. How are they similar? Which problem has a greater product?
Margarita [4]

Here is your answer:

1. These equations are similar because they "both share the same numbers but one is a decimal and the other is a whole number."

2. You have to solve each equation in order to determine which number is greater:

  • 2.3\times 3.68
  • 2.3 \times 3.68 = 8.464
  • = 8.464

And:

  • 23 \times 368 =
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  • = 8464

Finally:

  • 8.464 < 8464

Therefore "8,464 is greater than 8.464."

Hope this helps!

3 0
3 years ago
(3a) You spend $72 on tapes and CDs. Each tape costs $8 and each CD costs $12.
Makovka662 [10]

Answer:

3a. 8t + 12c = 72

3b. t + c = 7

Step-by-step explanation:

number of tapes is t

number of Cds is c

so 8t + 12c = 72

and t + c = 7

so t = 7 - c

replace t = 7 - c in to the first equation

8(7 - c) + 12c = 72

56 - 8c + 12c = 72

4c = 72 - 56 = 16

c = 4

if c = 4, then t = 7 - c = 7 - 4 = 3

6 0
2 years ago
Jackie cut a 2 yard spool into 5 equal lengths of ribbon?
lidiya [134]
5 units = 2 yd.
1 unit = 2/5
Each piece of ribbon is 2/5 yd. long.
6 0
3 years ago
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