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
Pavel [41]
2 years ago
7

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.

The pool company developed new chemicals that transform the pH scale. Using the pH function p(t) = −log10t as the parent function, explain which transformation results in a y-intercept and why. You may graph by hand or using technology. Use complete sentences and show all translations on your graph.
p(t) + 1
p(t + 1)
−1 • p(t)

Mathematics
1 answer:
klio [65]2 years ago
7 0

Answer:

Second Option

The transformation that will cause p(t) to have an intercept with the y = p(t) axis is p(t) =-log_{10}(t+1)

Step-by-step explanation:

If we have the function p(t) = -log_{10}(t) as the parent function then we must find out which of the transformations shown must be performed to the function so that it has an intersection on the y axis.

The main function p(t) = -log_{10}(t) because if we do t = 0 then p(t) is not defined because the log(0) is not defined.

Then, if we transform the function by doing y = p(t) +1 then we will obtain:

p(t) =-log_{10}(t)+1

This transformation moves the parent function 1 unit up. Therefore, if the original function had no interception in y, then it will not have an intercept either.

 

Then, if we transform the function by doing y = p(t + 1) then we will get:

p(t) =-log_{10}(t+1)

This function moves the parent function one unit to the left on the x axis. Therefore it will have an intercept in p(t) = 0

The transformation -1*p (t) only reflects the function p(t) on the x axis.  But if the main function has no intercept on the y-axis then the reflected function will also have no intercept on the y-axis

Therefore the correct option is the second one. The transformation that will cause p(t) to have an intercept with the y = p(t) axis is p(t) =-log_{10}(t+1)

Observe the attached image

You might be interested in
The equation y=2x+3 represents the cost y (in dollars) of mailing a package that weighs x pounds. a. Graph the equation. b. Usin
FinnZ [79.3K]

Answer:

B. Slightly more than $5

Step-by-step explanation:

y = 2x + 3

Firstly we check variables to make sure we understand.

y = dollars

x = pounds

On the scale, it says 1.126 lb. Which means 1.126 pounds.

And so, x = 1.126

y = 2x + 3

y = 2(1.126) + 3

y = 2.252 + 3

y = 2.252

The graph for part a and park b. It is underneath. I wrote 1.1, because it is rounded down from 1.126 lb, which is part b. The one with one line and no dots is part a.

4 0
2 years ago
Element X decays radioactively with a half life of 9 minutes. If there are 890 grams of Element X, how long, to the nearest tent
elena-s [515]

Answer:

13.18651685

13.9

Explain:

890-238=652
652/890=0.7325842697 (Find out the percentage)

We know that 1 gram of Element X will be fully decayed in 18 minutes and half of it in 9 minutes.

0.7325842697x18=13.18651685

As you see 18/13.18651685 will equal to 18 (not exactly since it is rounded)

And of course we need to round it to nearest tenth. So the answer would be 13.9!

3 0
2 years ago
there are 4 muffins on each plate there are 0 plates of lemon muffins how many lemon muffins are there
djverab [1.8K]
There is no lemon muffins cause u can't count something u don't have 
6 0
3 years ago
Read 2 more answers
BRAINLIEST
anygoal [31]

Answer:

Step-by-step explanation:

24x = 8*3*x

16 = 8* 2

Greatest common factor = 8

24x - 16 = 8(3x - 2)

3 0
3 years ago
Read 2 more answers
A jar contains 5 red, 4 green, 7 yellow marbles. Without looking, one marble is elected. What is the probability that it is yell
Kitty [74]

Answer:

7/16

Step-by-step explanation:

The probability of picking a yellow marble at first is 7/16 (total number of yellow marbles / total number of marbles present)

3 0
3 years ago
Other questions:
  • Emily, Jean, and Amanda live in apartments on the 5th, 6th and 7th floors. One girl likes basketball, one likes football, and th
    5·1 answer
  • Mr. Delagado sees this sign while he is driving. For numbers 3a-3b, choose the values and term that correctly describes the shap
    6·1 answer
  • One morning, a diner chef had 176 breakfast orders. The circle graph shows the types of orders. About how many orders were for e
    6·1 answer
  • What is typically used to quantitatively compare the effectiveness of layouts? A. trial and error B. load-distance model C. expo
    15·1 answer
  • Someone answer this :)
    8·2 answers
  • A point P has coordinates (-8, -2). What are its new coordinates after reflecting point P across the x-axis?
    11·1 answer
  • 3. There were 6987 people in a village in the year 2009.
    7·1 answer
  • 9 less than the square root of a number and 3
    11·1 answer
  • PLZZZZZ HELP ASAPPPP
    13·1 answer
  • Isabella has a dozen apples of the same size and a dozen
    7·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!