If 0.4 liters is 1/2000 of the production batch, then the production batch is 2000 * 0.4 liters
2000 * 0.4 liters = 800 liters
The concentration of the hydronium ions in the milk is 5.011×10⁻⁴ if the container of orange juice has a pH of 3.3.
<h3>What is pH value?</h3>
The pH of a solution is a measurement of the concentration of hydrogen ions in the solution, as well as its acidity or alkalinity. Normally, the pH scale ranges from 0 to 14.
We have:
A container of orange juice has a pH of 3.3.
The pH value = 3.3
![\rm pH = -log[H_3O^+]](https://tex.z-dn.net/?f=%5Crm%20pH%20%3D%20-log%5BH_3O%5E%2B%5D)
![\rm 3.3 = -log[H_3O^+]](https://tex.z-dn.net/?f=%5Crm%203.3%20%3D%20-log%5BH_3O%5E%2B%5D)
Removing log:
![\rm 10^{-3.3}=[H_3O^+]](https://tex.z-dn.net/?f=%5Crm%2010%5E%7B-3.3%7D%3D%5BH_3O%5E%2B%5D)
![\rm [H_3O^+] = 5.011\times10^{-4}](https://tex.z-dn.net/?f=%5Crm%20%5BH_3O%5E%2B%5D%20%3D%205.011%5Ctimes10%5E%7B-4%7D)
Thus, the concentration of the hydronium ions in the milk is 5.011×10⁻⁴ if the container of orange juice has a pH of 3.3.
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Answer:
A
Step-by-step explanation:
There are 270 minutes in 4.5 hrs.
divide that by 45, you get 6.
50*3^6 is 36,450
Answer:
20
Step-by-step explanation:
(2×10^-10)÷(4×10^-9)
(2/4)×[(10^-10)/(10^-9)]
(1/2)×(1/10)
1/20
The smaller value is 1/20 of the larger value.. which means it's 20 times smaller that the larger one
Applying implicit differentiation, it is found that dy/dt when y=π/4 is of:
a-) -√2 / 2.
<h3>What is implicit differentiation?</h3>
Implicit differentiation is when we find the derivative of a function relative to a variable that is not in the definition of the function.
In this problem, the function is:
xcos(y) = 2.
The derivative is relative to t, applying the product rule, as follows:


Since dx/dt=−2, we have that:

When y = π/4, x is given by:
xcos(y) = 2.

Hence:


Since cot(pi/4) = 1, we have that:

Which means that option a is correct.
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