Answer:
There are 10⁻⁷ hydrogen ions in one-liter water
Step-by-step explanation:
Hi there!
a. If the pH = 7.0, then:
-log(H) = 7.0
multiply both sides of the equation by -1
log(H) = -7.0
Apply 10ˣ to both sides
10^(log (H)) = 10⁻⁷
(H) = 10⁻⁷
There are 10⁻⁷ hydrogen ions in one-liter water.
Why 10^(log (H)) = (H)?
Let´s consider this function:
y = 10^(log x)
(Apply log to both sides)
log y = log 10^(log x)
(Apply logarithmic property: log xᵃ = a · log x)
log y = log x · log 10
(log 10 = 1)
log y = log x
y = x
(since y = 10^(log x) and y = x):
10^(log x) = x
That´s why 10^(log (H)) = (H)
seperable differential equations will have the form
what you do from here is isolate all the y terms on one side and all the X terms on the other
just divided G(y) to both sides and multiply dx to both sides
then integrate both sides
once you integrate, you will have a constant. use the initial value condition to solve for the constant, then try to isolate x or y if the question asks for it
In your problem,
so all you need to integrate is
Answer:
<u>$211.50</u>
Step-by-step explanation:
Initially:
21 hours per week at 8.25 per hours means:
21 * 8.25 = 173.25 dollars per person
16 person = 16 * 173.25 = $2772 (total)
2nd phase:
2 more cashier = 16 + 2 = 18 cashiers
Per hour 0.25 more, so 8.25 + 0.25 = $8.50 per hour
1.5 hrs less than 21, so 21 - 1.5 = 19.5 hours
Hence,
18 * 19.5 * 8.50 = $2983.50 (new total)
Change in money paid = 2983.50 - 2772 = $211.50
Answer:
(7x−5)(3x+4)
Step-by-step explanation:
I think this is the answer
