Chemists use pH as a measure of acidity or alkalinity of a solution. It uses the concentration of hydrogen ions H+ in a logarithmic function. A chemist is studying the alkalinity of a hot spring near a volcano. The hydrogen ion concentration is increasing according to the function f(d) = (0.5 × 10–4)d, where d is the number of days. The function for pH is g(H+) = –log10(H+), where H+ is the hydrogen ion concentration of the solution. Which function shows the pH of the hot spring as a function of d? g(f(d)) = –log10(d) g(f(d)) = –d(log10(0.5 × 10–4)) g(f(d)) = –log10((0.5 × 10–4)d) g(f(d)) = –log10(d × 10–4)

Answers

Answer 1

Answer:

[tex]g(f(d)) = -dlog_{10}(0.5 * 10^{-4})[/tex]

Step-by-step explanation:

Given

[tex]f(d) = (0.5 * 10^{-4})^d[/tex]

[tex]g(H+) = -log_{10}(H+)[/tex]

Required

Find the composite function g(f(d))

We have:

[tex]g(H+) = -log_{10}(H+)[/tex]

Substitute f(d) for H+

[tex]g(f(d)) = -log_{10}(f(d))[/tex]

Substitute [tex]f(d) = (0.5 * 10^{-4})^d[/tex]

[tex]g(f(d)) = -log_{10}((0.5 * 10^{-4})^d)[/tex]

Apply law of logarithm

[tex]g(f(d)) = -dlog_{10}(0.5 * 10^{-4})[/tex]

Hence, the function is:

[tex]g(f(d)) = -dlog_{10}(0.5 * 10^{-4})[/tex]

Answer 2

Answer:

It's C

Step-by-step explanation:


Related Questions

i really need help on this.​

Answers

Answer:

both are (0,0)

Step-by-step explanation:

Hello There!

When its asking for the vertical intercept its asking " at what points does the equation cross the vertical axis( y axis) so its pretty much asking for the y intercept¨

In the graph shown below the y intercept is 0 so the coordinates of the vertical intercept would be (0,0)

When its asking for the horizontal intercept its asking " at what points does the equation cross the horizontal axis ( x axis ) so its pretty much asking for the  x intercept."

In the graph shown below the x intercept is 0 so the coordinates of the horizontal intercept would be (0,0)

Monthly grocery cost based on the average number of shopping trips is predicted using the least-square regression line, ŷ = 275.3 + 90.7x, where ŷ represents the predicted monthly expense and x represents the average number of trips. A shopper visits the grocery store an average of 3.2 times and has a monthly cost of $520. What is the residual for the shopper?

45.54
76.47
−45.54
−76.47
90.7

Answers

Answer:

−45.54

Step-by-step explanation:

Just took the test

The residual for the shopper will be equal to -45.54. Hence, option C is correct.

What is an equation?

Mathematical expressions with two algebraic symbols on either side of the equal (=) sign are called equations.

This relationship is illustrated by the left and right expressions being equal. The left-hand side equals the right-hand side is a basic, straightforward equation.

As per the given data provided in the question,

The given equation is,

y = 275.3 + 90.7 x

Here, x is the number of trips and y is the total monthly expense.

Then,

Shopper monthly cost = $520

Number of visits by the shopper in a month = 3.2

So, the residual for the shopper will be,

$520 = 275.3 + 90.7 (3.2)

$520 = 275.3 + 290.24

= -45.54

To know more about equation:

https://brainly.com/question/29657983

#SPJ2

Find the sum.
5y+2/xy^2 + 2x-4/4xy

Answers

[tex]\frac{5y+2}{xy^2}[/tex]+[tex]\frac{2x-4}{4xy}[/tex]=[tex]\frac{xy+8xy+4}{2xy^2}[/tex]

or just (xy+8y+4)/2xy^2 if u can't see the equation

The value of the expression using sum will be (8y + xy + 4) / (2xy²).

What is Algebra?

Algebra is the study of abstract symbols, while logic is the manipulation of all those ideas.

The definition of simplicity is making something simpler to achieve or grasp while also making it a little less difficult.

The expression is given below.

⇒ [(5y + 2) / (xy²)] + [(2x - 4) / (4xy)]

Simplify the expression, then we have

⇒ [(5y + 2) / (xy²)] + [(2x - 4) / (4xy)]

⇒ [4(5y + 2) / (4xy²)] + [y(2x - 4) / (4xy²)]

⇒ [(20y + 8) / (4xy²)] + [(2xy - 4y) / (4xy²)]

⇒ (20y + 8 + 2xy - 4y) / (4xy²)

⇒ (16y + 2xy + 8) / (4xy²)

⇒ (8y + xy + 4) / (2xy²)

The value of the expression using sum will be (8y + xy + 4) / (2xy²).

More about the Algebra link is given below.

https://brainly.com/question/953809

#SPJ5

Is the number 0.1875 rational or irrational

Answers

rational...............



Sophie buys a wheelbarrow priced at $72. If the sales tax is 5%, what will be the total cost
including tax?

Answers

Answer:

$75.6

Step-by-step explanation:

5%of 72 = 3.6

72+3.6 = 75.6

i need help ASAP ill give u brainliest ! WORTH 20 POINTS ! any silly guess gets reported

Answers

Answer:

for volume you multiple l*w*h so 2)432 4)1,216

hii please help i’ll give brainliest!!

Answers

answer is D because statement mentions about evelyn applying brake to stop the car.

brainliest

it’s D i think it’s D because i have a feeling it’s D.

3-4/5X-2/3–3/15+3/5divided by -3/2

Answers

Answer:

-2(6x-13)/15

Step-by-step explanation:

This is done by simplifying the expression as well as combining like terms

what is the slope of this line?

Answers

Answer:

-1/200

Step-by-step explanation:

To get from one point to the other you rise (go down in this case since the slope is negative) $1 every time you make 200 more scarves.

find the value of 2\5of rs75​

Answers

Step-by-step explanation:

Given

[tex] \frac{2}{5} \times rs75 \\ = rs \: 15 \times 2 \\ = rs \: 30[/tex]

Hope it will help :)

Answer:

2÷5×75=30

Step-by-step explanation:

Lucy bought a fish tank shaped like a rectangular prism for her new betta fish. The tank holds 2,244 cubic inches of water. It is 12 inches long and 11 inches wide.

Answers

Answer:

The length of the fish tank is 17 inches.

Step-by-step explanation:

The volume of a rectangular prism is length × breadth × height.

You already know the volume, breadth, and height, so you can find the length.

Length = 2244 ÷ 12 ÷ 11

            = 17 inches

The height of the tank is 17 inches.

What is Volume?

Volume of a three dimensional shape is the space occupied by the shape.

Given that,

The shape of the fish tank is rectangular prism.

The formula to calculate the volume of the rectangular prism is,

Volume = Length × Width × height

Given,

Volume of the tank = 2,244 cubic inches

Length = 12 inches

Width = 11 inches

Let x be the height.

Substituting the given values,

2,244 = 12 × 11 × x

x = 2244 / (12 × 11)

x = 2244 / 132

x = 17 inches

Hence the height of the tank is 17 inches.

Learn more about Volume here :

https://brainly.com/question/21308574

#SPJ3

Your question is incomplete. The complete question is given below.

Lucy bought a fish tank shaped like a rectangular prism for her new betta fish. The tank holds 2,244 cubic inches of water. It is 12 inches long and 11 inches wide. What is the height of the tank?

I can’t download anything so if anyone can find a way to help with this I’d be grateful (^_^)

Answers

It's hard to explain by words so sorry if you don't understand. For the graphing part, starting from (-3, 0), plot points in (1, 2), (6, 3), and connect them. The end of a line should be (10, 3.5). You will understand better if you use graphing calculator.

The answer of a second question is {x|x is greater or equal to -3.

4. 3a+6+5a A)16 B)8a C)8
5. 8b+8-4b A)20 B)28 C)12b
6. 5c-4c+c A)9c B)0 C)-6

Answers

Answer:

No clue what the answer is...

Solve each equation b+3.3=8.9 what is b?

Answers

the answer will be 5.6 !

you can get this by doing 8.9 - 3.3 ! remember you can apply this to all problems by turning division to multiplication, addition to subtraction, etc.

please mark brainliest if this was useful ♡

Find the value of x in the image above

Answers

Answer:

Step-by-step explanation:

which represents the solution to the inequality -3x +5 > 14?

Answers

Answer:

x < -3

Step-by-step explanation:

Calculate the area of the right - angled triangle with base of 18cm and height 6.5cm

Answers

Answer:

area = 58.5 cm²

Step-by-step explanation:

area = 18 x 6.5 x 0.5 = 58.5 cm²

If the number of hours you hours you work is proportional to the amount of money you earn per hour, which og tye following statements is true?​

Answers

Answer:

it should be a

Step-by-step explanation:

if you work for $10 an hour, and work for 2 hours, you make $20 but if you double the hours worked, so 4 hours, you make $40, which is double the hours, and double the money

2. What is the product of the following expression?
2x(x2 + x-5)
A. 2x3 + x-5
B. 2x3 + 2x – 10
C. 2x3 + 2x2 – 5x
D. 2x3 + 2x2 – 10x
(Please help)

Answers

your answer is d!!!!

correct me if i’m wrong :)

6a-4b when a=5 and b=3

Answers

Answer:

18

Step-by-step explanation:

Answer:

Use substitution to receive: 18

Step-by-step explanation:

6a - 4b when a = 5 and b =  3

6(5) - 4(3)

30 - 12 = 18

The best description of a dilation of a figure is?

Answers

Answer:

an enlargement or a reduction of the figure

a slide of the figure

a turning of the figure about some fixed point

a mirror image of the figure

The best description of a dilation of a figure is a slide of the figure.

What is dilation?

A dilation is a transformation that changes the size of a figure. It can become larger or smaller but the shape of the figure does not change.

Now,

The best description of a dilation of a figure is a slide of the figure.

Learn more about the dilation visit:

https://brainly.in/question/7119691

#SPJ6

Linear inequality systems graphically

Answers

To graph the solutions of a system of inequalities, graph each inequality and find the intersections of the two graphs.


4. Katy sells new video games at a gaming store. Katy gets a bonus if she sells more than 60 video games. If 8 people each buy 7 video games, how many more video games does Katy need to sell to get her bonus? Show your work ​

Answers

8 people each buy 7 so, 8 x 7 = 56
She needs to sell 60:
60 - 56 = 4
Katy is 4 away from selling 60.

2x + 6
96
solve for x using an algebraic equation

Answers

Answer:

v

Step-by-step explanation:

How do I find central angle with coordinates (42.36,-71.06) (44.5,-73.11) in order (a,b) (c,d)

Answers

¿ SiNo no nosenkkknkkkkkk

PLEASE HELP!!! :(
Consider the following figure
What is BD? ​

Answers

Answer:

BD = 16

Step-by-step explanation:

32/BD = BD/8

BD² = 256

BD = 16

The linear functions f(x) and g(x) are represented on the graph, where g(x) is a transformation of f(x):

A graph with two linear functions; f of x passes through 5, 0 and 10, 10, and g of x passes through negative 3, 0 and 2, 10.

Part A: Describe two types of transformations that can be used to transform f(x) to g(x). (2 points)

Part B: Solve for k in each type of transformation. (4 points)

Part C: Write an equation for each type of transformation that can be used to transform f(x) to g(x). (4 points)

Answers

Answer:

A linear function can be written as:

y = a*x + b

Where a is the slope and b is the y-intercept.

If this line passes through the points (x₁, y₁) and (x₂, y₂), then the slope is:

a = (y₂ - y₁)/(x₂ - x₁)

We know that line f(x) passes through points (5, 0) and (10, 10)

Then the slope of f(x) is:

a = (10 - 0)/(10 - 5) = 10/5 = 2

then:

f(x) = 2*x + b

again, knowing that f(10) = 10   (because this line passes through point (10, 10) )

10 = 2*10 + b

10 = 20 + b

10 - 20 = b = -10

Then the equation of this line is:

f(x) = 2*x - 10

Now for g(x) we know that it passes through (-3, 0) and (2, 10)

then the slope is:

a = (10 - 0)/(2 - (-3)) = 10/5 = 2

g(x) = 2*x + b

And knowing that g(2) = 10   (because this line passes through point (2, 10) )

10 = 2*2 + b

10 = 4 + b

10 - 4 = b

6 = b

then:

g(x) = 2*x + 6

Then the equations are:

f(x) = 2*x  - 10

g(x) = 2*x + 6

A) One transformation may be a vertical translation, and the other can be a horizontal translation.

This is a vertical translation, which is defined as:

For a function f(x), a vertical translation of k units is written as:

g(x) = f(x) + k

If k is positive, the translation is upwards

if k is negative, the translation is downwards.

And an horizontal translation of k units is written as:

g(x) = f(x - k)

if k is positive, the translation is to the right

if k is negative, the translation is to the left.

B)

For the vertical translation we have:

g(x) = f(x) + k

2*x + 6 = 2*x  - 10 + k

6 = -10 + k

6 + 10 = k

16 = k

For the horizontal translation we have:

g(x) = f(x - k)

2*x + 6 = 2*(x - k) - 10

2*x + 6 = 2*x - 2*k - 10

6 = -2*k - 10

6 + 10 = -2*k

16 = -2*k

16/-2 = k

-8 = k

C)

The transformations are:

g(x) = f(x) + 16

or

g(x) = f(x - (-8))

Work out the mean for the data set below: 58002, 58003, 58002, 58003, 58003, 58005, 58003

Answers

Step-by-step explanation:

Mean x¯¯¯ 58003

Median x˜ 58003

Mode 58003

Range 3

Minimum 58002

Maximum 58005

Count n 7

Sum 406021

Quartiles Quartiles:

Q1 --> 58002

Q2 --> 58003

Q3 --> 58003

Interquartile

Range IQR 1

Outliers 58005

copy machine goes brr

Solve the equation 2/3(9+x)=−5(4−x).

Answers

Answer:

the answer is x=6

Step-by-step explanation:

hoped I helped

The answer should be x=6

Felipe planted some seeds for a science project. One of his plants grew 6 1/2 inches in the first week, and then it grew 5 3/4 inches during the second week. How much did the plant grow during these two weeks? The answer should be written as a proper mixed number and should be simplified, if possible. *ill give brainliest*

Answers

Answer:

12 1/4

Step-by-step explanation:

Other Questions
La propiedad del producto cero indica que si la multiplicacin de dos valores es igual a cero, se puede decir que alguno o ambos valores el igual a cero PORQUE Un producto de factores es cero si y solo si ,uno o ms de los factores es cero. What is the ability of some creatures to control their body temperatures through internal means such as muscle shivering, fat burning, and panting called?Question 10 options:metabolismendothermicectothemic Decide if the following sentence is grammatically CORRECT or INCORRECT.Johann ist die Adresse bekommen.correctincorrect Muhammad Amanullah buys 4 apples for $1.12.At the same price, how many apples can he buy for $2.52?A-5B-6C-7D-8E-9 what country came out of ww1 in better shape 40 g of which substance is saturated in 100 g of water at a temperature of 50C?AKCIBNaclCKNO3DNH4Cl please help , its due soon Please help!! 10 point!!What is the republican party opinion on nutrition assistance and housing aid? Define the term study skills. GIVING BRAINLIEST ANSWER CORRECTLY FOR 40 POINTS List 3 people from the history of biotechnology and write one sentence about each persons contribution g The distribution of the monthly amount spent on childcare in a Midwestern city has a mean of $675 and a standard deviation of $80. A random sample of 64 families in this city paying for childcare is selected. Find the probability that the sample mean is less than $650. (Round the result to 4 decimal places.) Prove that a+b/2ab Which distribution is symmetrical (bell shaped)?A)B)L1oD) what is the meaning of embassy Help plz need the answer asap Find the equation of the linear function represented by the table below in slope-intercept form. . Which of these perform real-world activities such as eating, sleeping, walking, and running in virtual worlds? A dune buggy company rents dune buggies at the beach. They charge an initial fee of $30 plus$10 for each hour the buggy is rented. Let x represent the number of hours and y represent thetotal cost of the rental.1. If Clint rents a dune buggy for 5 hours, how much should he expect to pay? According to Truth, how did Jesus treat women? what is the y intercept of the linear function graphed here You move right 3 units. You end at (5, 2). Where did you start?