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PSAT 1.1 Math Diagnostic. If a rabbit consumes 3 meals a day, how many grams of food will a rabbit consume in 7 days?
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PSAT 1.13 Math Diagnostic. What is the approximate concentration of hydronium ions?
More Video DetailsTranscript
- 00:00
Sorry and here's your smoke usually brought to you by
- 00:05
a gn enemy The inspiration for that you know song
- 00:09
on the muppet show a kn enemy a gn enemy
- 00:16
All right check out this info A scientist I'm a
- 00:20
clown Fish and enemy speaking colonized on and toxins and
Full Transcript
- 00:24
evil clown fish All right take a look at the
- 00:26
graph here to see surface But the scientist is also
- 00:32
studying effects of hydro monium ions age plus on clown
- 00:37
fish You cannot study hydro nehemiah directly but she can
- 00:41
study thie h which is the negative log of the
- 00:44
concentration of hydro ni um ryan's h plus in the
- 00:47
solution she collects data on sea surface ph from nineteen
- 00:51
hundred two thousand ten Data is displayed in the graph
- 00:55
above What is the approximate concentration of hydro nian ions
- 01:00
Agent plus for nineteen forty and here the potential answers
- 01:07
All right a lot of scientific mumbo jumbo here people
- 01:10
Fortunately we don't need to understand all of the mambo
- 01:12
or the jumbo in order to solve this problem Mainly
- 01:16
we just need to be able to read interpreted graph
- 01:18
and understand a little something about lager we're sad to
- 01:21
say has nothing to do with forming a band in
- 01:23
a heavily wooded area All right well we're interested in
- 01:27
the year nineteen forty which by consulting our graph we
- 01:29
can see was associated with a ph level of about
- 01:32
eight point one four We're told that ph is the
- 01:35
negative log of the concentration of hydro nea my aunt
- 01:39
So let's go ahead and straight up right this thing
- 01:42
out of formula eight point one four equals negative log
- 01:46
of vibranium ion looks legit since we're looking for the
- 01:51
concentration of hydro nia minds let's just call that tax
- 01:55
from now we'll be able to get rid of those
- 01:57
ugly brackets and that even uglier superscript plus sign that
- 02:01
way Ok so now we've just got eight point one
- 02:04
four equals the negative log of x Next we can
- 02:07
divide both sides by negative one Teo get negative Eight
- 02:10
point one Forty equals log x jazz where it's helpful
- 02:14
to know something about log log ax is the same
- 02:17
exact thing is log based ten of x which means
- 02:22
that we can rewrite our equation as x equals ten
- 02:26
to the negative eight point one for power and suddenly
- 02:29
we've got something our calculator can handle Multiplying all that
- 02:33
out we get seven point two four times ten to
- 02:35
the negative Nice which is answered a or the wind
- 02:38
Okay hi drone Iam ions No getting out of line 00:02:42.162 --> [endTime] now We've got our eye on you sir
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