A science teacher wrote the table of values below.
Amount of Hydrogen vs. pH
pH, f(x)
Amount of Hydrogen, X
(in moles per liter)
1
10
1
2
1
100
3
3
1
1,000
4
1
10.000
-
5
1
100,000
Which function models the data in the table?

Answers

Answer 1

Answer:

B

Step-by-step explanation:

Took quiz

Answer 2

The logarithmic function for the teacher who wrote the table of values with amount of hydrogen and pH level is given by f ( x ) = log ( 1/x )

What is Logarithm?

The power to which a number must be increased in order to obtain another number is known as the logarithm. A power is the opposite of a logarithm. In other words, if we subtract an exponentiation from a number by taking its logarithm

The properties of Logarithm are :

log A + log B = log AB

log A − log B = log A/B

log Aⁿ = n log A

Given data ,

Let the function be represented as f ( x )

Now , the values of x are

x = { 1/10 , 1/100 , 1/1000 , 1/10000 , 1/100000 }

where x represents the amount of Hydrogen in moles per liter

And the values of f ( x ) = { 1 , 2 , 3 , 4 , 5 }

where y represents the pH level

So , when x = 1/10 , f ( x ) = 1

And , the logarithmic equation is given as

f ( x ) = log ( 1/x )

when x = 1/1000

f ( 1/1000 ) = log ( 1/1/1000 )

f ( 1/1000 ) = log ( 1000 )

f ( 1/1000 ) = 3

Therefore , the value of f ( x ) is log ( 1/x )

Hence , the logarithmic equation is f ( x ) = log ( 1/x )

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Related Questions

Which of the following is the quotient of the rational expressions shown
below? Make sure your answer is in reduced form.

Answers

Answer:

The answer e i think

Step-by-step explanation:

Mr.flood records that 48% of his class do their homework on time. What decimal represents the percent of students who hand it late

Answers

Answer:

0.52

Step-by-step explanation:

100% - 48% = 52%

[tex]\frac{52}{100}[/tex]

0.52

A brand of uncooked spaghetti comes in a box that is a rectangular prism with a length of 7 inches, a width of 3 inches, and a height of 1 1/2
inches. What is the surface area?

Answers

Answer:

The surface area of the prism is equal to 72 sq inches.

Step-by-step explanation:

Given that,

A rectangular prism with a length of 7 inches, a width of 3 inches, and a height of 1 1/2  inches.

The surface area of a rectangular prism is given by :

[tex]A=2(lb+bh+hl)[/tex]

Put all the values,

[tex]A=2(7\times 3+3\times \dfrac{3}{2}+\dfrac{3}{2}\times 7)\\\\A=2\times 36\\\\A=72\ in^2[/tex]

So, the surface area of the prism is equal to 72 sq inches.

HELP I will give brainliest I am begging you only a few questions

Answers

Answer:

Graph A: (0,10) Graph B: (0,20)

Graph A: Height (feet) Graph B: Hight (feet)

Graph A: 138 Graph B: 120

Graph A: 32.6 Graph B: 43

Step-by-step explanation:

The smaller text was really blurry but I tried my best. Hope this helps!

Answer:

Step-by-step explanation:

I just pointed the answers, but quality of picture is poor: it's impossible to indicate the numbers on y-axis, and tell exact number on x-axis.

Tom drank 5 cups of coffee. How many pints of coffee did he drink?


A. 4.5
B. 3.5
C. 2.5
D. 1.5

Answers

Answer:

B .3.5 points of coffee did he drink

hope it helps

Correct answer is C. 2.5
A cup is 8 ounces, a pint is 16 ounces…so a cup = 1/2 pint. 5 cups = 5 half-pints…5 half-pints = 2-1/2 pints

Un frutero ha comprado 165kg de manzanas a 2 € el kilo; se le han estropeado 15 kg y el resto los
vende a 4 € el kilo. ¿ Cuánto ha ganado?

Answers

Step-by-step explanation:

165kg=330$

150*4=600$

600-330=270

espero te ayude :D

15r kg of auger was distributed equally among 5 people. how much auger did each person get? Give your answer in terms of r.

Answers

Answer:

below

Step-by-step explanation:

15r kg therefore it would be 15r/5people

3r kg for each person

To mix a pastel orange paint, 5ml of yellow pigment and 3 ml of red pigment are added to 1litre of white paint. How much yellow pigment and red pigment are added to 6litre of white paint to reproduce the same colour

Answers

Answer:

30ml of yellow

18ml of red

Step-by-step explanation:

5x6=30

3×6=18

Answer:

Step-by-step explanation:

a color

5+p=10 what does p equal

Answers

Answer:

p=5

Step-by-step explanation:

5+p=10

Hence, p=10-5

=5

Answer:

5

Step-by-step explanation:

1. Move the constant to the right- hand side and change its sign.

p=10-5

2. Subtract the numbers

p=10-5

the answer is 5

Help me please I don't have much time

Answers

I want to say C and D, but i'm not completely sure.

Gary has four times as many points as Frank. Evan has five times as many as Frank. Dave is two times as many as Frank. altogether they have a total of 1,260 points​

Answers

Answer:

the answer to this would be 114 i think sorry is im wrong

Step-by-step explanation:

Find the value of x and the value of y.​

Answers

Answer:

[tex]x=7,\\y=4\sqrt{2}[/tex]

Step-by-step explanation:

Draw an auxiliary line in the trapezoid forming a triangle and a rectangle. The dimensions of the rectangle are 3 x 4, so the length of the auxiliary line must be 4.

The auxiliary line also creates a 45-45-90 triangle. The auxiliary line itself makes up one leg of the triangle, and since we know it is 4, we can use the Pythagorean Theorem to find y:

[tex]4^2+4^2=y^2,\\y^2=32,\\y=\sqrt{32}=\boxed{4\sqrt{2}}[/tex]

The length of x can be found by adding the bottom leg of the 45-45-90 triangle and the bottom dimension of the rectangle:

[tex]x=4+3=\boxed{7}[/tex]

Part A (1 point)
Determine the area, in square feet, of one triangular
face of the square pyramid. Show your work or
explain your answer.
Part B (1 point)
Determine the total surface area, in square feet, of the
square pyramid. Show your work or explain your
answer

Answers

Answer:

A. 320 ft²

B. 2,304 ft²

Step-by-step explanation:

A. Area of one triangular face = area of triangle = ½*b*h

Where,

b = 32 ft

h = 20 ft

A = ½*32*20 = 16*20

A = 320 ft²

Area of 1 triangular face = 320 ft²

B. Total surface area = area of the 4 triangular face + area of the base of the square pyramid

T.S.A = 4(320) + (s²)

Where,

s = 32 ft

T.S.A = 4(320) + (32²)

T.S.A = 1,280 + 1,024

= 2,304 ft²

In the figure, KP = 50, KQ = 45, PQ = 38. What is RQ?​

Answers

Answer:

18

Step-by-step explanation:

Find the diagram attached

From the diagram

PR + RQ = PQ

PR + RQ = 38

PR = 38 - RQ

using similar triangle;

KQ/RQ = KP/PR

45/RQ = 50/38-RQ

Cross multiply

50RQ = 45(38-RQ)

50RQ = 1710 - 45RQ

50RQ + 45RQ = 1710

95RQ = 1710

RQ = 1710/95

RQ = 18

Hence the length of RQ is 18

Find the slope in each line

Answers

can you put the YX just because it’s too blurry.

(8,9); x+3y=2 in y=mx+b form

Answers

Answer:

use photo math. it will help

ACTIVITY
Jump to level 1
Complete the equation involving x. Order terms like the physical situation, and
simplify.
A 4 foot wide painting should be centered on a 12 foot wide wall. How many
feet (x) should be on each side of the painting?

Answers

Answer:

4 feet of wall should be on each side of the painting.

Step-by-step explanation:

Given that a 4 foot wide painting should be centered on a 12 foot wide wall, to determine how many feet (X) should be on each side of the painting, the following equation must be solved:

(Total wide of the wall - wide of the painting) / 2 = X

(12 - 4) / 2 = X

8/2 = X

4 = X

Therefore, 4 feet of wall should be on each side of the painting.

3x + 2y = 4 and -2x + 2y = 24? *

Answers

Answer:

x=28

y=v7vub8b9nf7v6v

Hello! I was wondering if anyone can help me out on this question?
Function 1 is defined by the following table.
r: 0, 4, 5, 7
y: -3.5, -1.5 -1, 0

Function 2 is defined by line q (see attached image)

Which of these functions has a greater slope?
A. Function 1
B. Function 2
C. The functions have the same slope

Answers

Answer:

Function 2

Step-by-step explanation:

Function 2 or line q would have a greater slope

Please mark as brainliest answer

22. A trapezoid has an area of 24 square units. The height is 3 units and the length of one of the bases is 5 units. Find the length of the other base.

Answers

Answer:

Step-by-step explanation:

A trapezoid is a 4-sided figure with one pair of parallel sides. For example, in the diagram to the right, the bases are parallel. To find the area of a trapezoid, take the sum of its bases, multiply the sum by the height of the trapezoid, and then divide the result by 2, The formula looks like this:

area_trapezoid1.gif or area_trapezoid2.gif

Where b1.gif is base1.gif, b2.gif is base2.gif, h.gif is height and · means multiply.

Each base of a trapezoid must be perpendicular to the height. In the diagram above, both bases are sides of the trapezoid. However, since the lateral sides are not perpendicular to either of the bases, a dotted line is drawn to represent the height.

In Examples 1 and 3 below, the height is a side of the trapezoid since it is perpendicular to the base. In Example 2, the lateral sides are not perpendicular to the base, so a dotted line is drawn to represent the height.

im in need of help for this problem (listing BRAINLIST and giving points) ​:)​

Answers

I hope this is help full to you

Sin x= d/e
Tan x=d/f
Cos x = f/e
Hope it helps!

The exprnditure of 15 days of a man is as follows. calculate this average expenditure. 30,25,35,24,40,35,30,25,
24,25,40,35,30,25,35. Solve with answer for class Nine​

Answers

Answer:

$30.53

Step-by-step explanation:

Find total sum

30+25+35=90

90+24=114

114+40=154

154+35=189

You will get 458

458/15=30.53333

Question 4
1 pts
An initial population of 910 quail increases at an annual rate of 20%. Write an exponential function to model the quail
population.

Answers

Answer:

910*(1.2)^t

Step-by-step explanation:

Given data

Initial population= 910 quail

Rate= 20%

Let us use the model below

A= P(1+r)^t

r= 0.2

A= 910(1+0.2)^t

A= 910*(1.2)^t

Hence the expression to model the population is  910*(1.2)^t

An initial population of 910 quail increases at an annual rate of 20%.

So,

910*(1.2)^t

Step-by-step explanation:

Given data

Initial population= 910 quail

Rate= 20%

Let us use the model below

A= P(1+r)^t

r= 0.2

A= 910(1+0.2)^t

A= 910*(1.2)^t

Hence the expression to model the population is 910*(1.2)^t.

What is the exponential function?

An exponential function is a mathematical function of the following form: f ( x ) = an x. where x is a variable, and a is a constant called the base of the function. The most commonly encountered exponential-function base is the transcendental number e, which is equal to approximately 2.71828.

Learn more about exponential function at

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The storage space in a moving truck is shaped like a rectangular prism. It has a total volume of 16 cubic meters. The height and width are both 2 meters less than the depth. What are the dimensions of the storage space?​

Answers

Answer:

The dimensions are four by two by two meters.

Step-by-step explanation:

The volume for a rectangular prism is given by:

[tex]V=\ell wh[/tex]

Where l is the length (or depth), w is the width, and h is the height.

Since the height and width are both two meters less than the depth, we can write that:

[tex]h=\ell -2\text{ and } w = \ell -2[/tex]

We are also given that the total volume is 16 cubic meters. Substitute:

[tex]16=\ell(\ell -2)(\ell -2)[/tex]

Expand:

[tex]16=\ell(\ell^2 -4\ell +4)[/tex]

Distribute:

[tex]16=\ell ^3-4\ell ^2+4\ell[/tex]

Isolate the equation. So:

[tex]\ell ^3-4\ell ^2+4\ell -16=0[/tex]

We can factor by grouping. From the first two terms, factor out a and from the last two terms, factor out a 4:

[tex]\ell ^2(\ell -4)+4(\ell -4)=0[/tex]

Factor:

[tex](\ell ^2+4)(\ell -4)=0[/tex]

Zero Product Property:

[tex]\ell ^2+4=0\text{ or } \ell - 4=0[/tex]

Solve for each case:

[tex]\ell^2=-4\text{ or } \ell =4[/tex]

Since we cannot take the square root of a negative number, we can ignore the first case.

Therefore, the length (or depth) of the storage space is four meters.

Thus, the dimensions are four by two by two meters.

please answer both thank ​

Answers

Answer:

the second one for #4 and the third one for #5

Step-by-step explanation:

4. The sum of x and y is 24, so x+y = 24. The difference is 15, so x-y = 15, or

y-x=15 (they didn't specify which was which). Therefore, A, C, and D are correct, so x = 15-y is the answer (x = 15-y is the same as x+y = 15, which is false).

5.

Matt = 6 apple pies + 4 lemon pies and he got 80 dollars.

Ming = 6 apple pies + 5 lemon pies and he got 94 dollars.

If apple pie is "a" and lemon is "l":

6a + 4l = 80

6a + 5l = 94,

so C is the answer

I WILL GIVE YOU BRAINLYEST if you answer
PLSS HELP I suck at math its easy

Answers

Answer:

I think the answer is would be C

Answer:

A. Neil did not make a mistake.

Step-by-step explanation:

Everything looks fine in this problem.

how do I
graph y+2= - 5/7 (x+6)

Answers

Type that into Desmos graphing calculator I hope this helps

HELP! POTATOooooooooooooooooooooooo plz

Answers

Answer:

Step-by-step explanation:

i cant see the answer

what is the degree of the polynomial x² - 5x + 2 ​

Answers

Answer

2

Step-by-step explanation:

x^2-5x+2,

the greatest exponent seen in the polynomial is two (x squared), so the degree of this polynomial is 2 because of the number two x^2 -5x+2

At the grocery store near Josie's home, Cheerios cost 99 cents per box. The cost of a box of Tasteeos is only 5/9 of the cost of a box of Cheerios. How many cents will Josie have to pay for one box of Tasteeos cereal?

Answers

The answer is 55

Hope this helps :D

Also I can explain why
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