Question

In chemistry, the pH of a solution is a measure of the acidity or alkalinity of a solution. Water has a pH of 7 and, in general, acids have a pH less than 7 and alkaline solutions have a pH greater than 7. Find the pH of a solution with a hydronium ion concentration of 5.1×10^−6 moles/liter. Round your answer to two decimal places, if necessary.

pH =

Answer 1

@vocaloid

Answer 2

-log(hydronium concentration) = -log(5.1×10^−6), plug and round

Answer 3

4.24542105

Answer 4

I got something a little different when I plugged it into my calculator: 5.29?

Answer 5

you're correct

Answer 6

Consider the following functions.

f(x)=|x| and g(x)= −4x

Find the formula for (f/g)(x) and simplify your answer.

(f/g) (x) =

Answer 7

f/g means divide f(x) / g(x)

Answer 8

oh ok

Answer 9

f(x) / g(x) = -4x

right ?

Answer 10

f(x)=|x| and g(x)= −4x

f(x) = |x| / (-4x)

you can't really remove the absolute value sign without changing the function, so I would just leave it like that if you can

Answer 11

oh ok i thought you would

Answer 12

0

Answer 13

wait where is 0 coming from

just divide the two functions to get |x| / (-4x), that's it, it's only asking for f/g

Answer 14

i'm not sure how to divide the two functions together

Answer 15

|x| / (-4x) is as simple as you can get it, try that first

Answer 16

-|x|/4x

Answer 17

yeah try that and see if they'll take that

Answer 18

no

Answer 19

it said

The answer you have submitted, −x/4x, is incorrect. It appears you have made an error in one or more of the following areas:

Dividing f(x) by g(x).

Combining like terms, if necessary.

You may want to check your work.


For a step-by-step guide to solving this problem, select Step By Step.

Answer 20

... strange
you can't really divide |x| by x because they're not the same thing.

can you take a screencap of the problem?

Answer 21

f(x) has an absolute value sign. can you enter |x| in the numerator instead?

Answer 22

the || are crucial, |x| is not the same as x

Answer 23

i can't put || in

Answer 24

control shift \ didn't work?

https://www.hawkeslearning.com/documents/KeyboardShortcuts.pdf

Answer 25

no , i'll show you the answer

Answer 26

it doesn't make sense that i couldn't use || tho for the answer

Answer 27

it doesn't make sense that i couldn't use || tho for the answer

Answer 28

Consider the following functions.

f(x)=√x+1 and g(x) = x2^/3

Find the formula for (fg)(x) and simplify your answer.

(f/g)(x) =

Answer 29

it's similar to the other one, you take f(x) and divide it by g(x)

can you try taking a screengrab of this one too?

Answer 30

how many tries do you get?

because for this one, you can't really simplify beyond f(x) / g(x) = sqrt(x+1) / x^(2/3)

Answer 31

1 time. i tried to do a similar try but i could skip it

Answer 32

I don't think you can simplify beyond \[\frac{ \sqrt{x+1} }{ x^{2/3} }\]but we can always skip and go back to it I guess

Answer 33

it's okay , i already skipped it now

Answer 34

it's complicated