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Blizzard [7]
2 years ago
10

One brand of vinegar has a pH of 4.5. Another brand has a pH of 5.0. The equation for the pH of a substance is pH = –log[H+], wh

ere H+ is the concentration of hydrogen ions. What is the approximate difference in the concentration of hydrogen ions between the two brands of vinegar?
Mathematics
2 answers:
likoan [24]2 years ago
6 0

Answer:

The vinegar with pH 4.5 has 2.2*10^-5 more hydrogen ions than the vinegar with pH 5.0.

Explanation:

To identify the difference, we must first find the H+ of both. We can do this by using the equation [H+]=10^-pH. After we do that we know that the vinegar with a pH of 5.0 has [H+]=1.0*10^-5 and the vinegar with a pH of 4.5 has [H+]=3.2*10^-5. The difference is found by subtraction.

(3.2*10^-5)-(1.0*10^-5)=2.2*10^-5

kiruha [24]2 years ago
4 0

Answer:

2.16 * (10^-5).

Step-by-step explanation:

5 = -log H+

5 = log (1 / H+)

1/ H+ = 10^5

H+ = 10^-5

In a similar fashion  the other brand has H+ of 10^-4.5.

So the difference in hydrogen ion concentration =  10^(-4.5) - 10^(-5)

= 2.16 * (10^-5).

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What is the domain of y = log Subscript 4 Baseline (x + 3)?
quester [9]

Answer:

All real numbers greater than -3

Step-by-step explanation:

The domain of a log is the baseline is greater than 0.

Set x + 3 greater than zero and solve

x + 3 > 0

x > -3

5 0
2 years ago
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The price that a company charged for a basketball hoop is given by the equation 50 - 5x^2 where x is the number of hoops that ar
DiKsa [7]

Answer: The correct option is first, the number of basketball hoops did the company previously produce to make the same profit is 1.3 million hoops.

Explanation:

Let the number of basketball hoops did the company previously produce to make the same profit be x.

Total Revenue = Price * Quantity

The total revenue in million dollars is,

\text{Total Revenue}=(50-5x^2)x

\text{Total Revenue}=50x-5x^3

The total cost in million dollars is,

Total Cost = One unit cost * Quantity

\text{Total Cost}=30x

Profit = Total Revenue - Total Cost

\text{Profit}=50x-5x^3-30x

The profit is 15 million.

15=20x-5x^3

5x^3-20x+15=0\\x^2-4x+3=0\\(x-1)(x^2+x-3)=0

The value of x is 1 and \frac{-1\pm \sqrt{13}}{2}.

The production is always positive therefore the value of x either 1 or 1.3. Since 1 million is not available in the options therefore the the correct optin is 1.3 million hoops.

4 0
2 years ago
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Find each measure for the given set of data: 11, 13, 17, 20, 22, 25, 27, 31, 31, 33, Mean= Median= Range= interquartile range= I
Tresset [83]

Answer:

Mean=23

Median =23.5

Range=22

Interquartile range = 14

Step-by-step explanation:

Given set of data

11,13,17,20,22,25,27,31,31,33

Mean =\frac{11+13+17+20+22+25+27+31+31+33}{10}

          =\frac{230}{10}

          =23

The(\frac{n}{2}) th term= the 5th term

                        =22

The  (\frac{n}{2}+1)^{th} term = The 6^{th term

                               = 25

The median = \frac{22+25}{2}

                   =23.5

Range = Highest term - lowest term

           =33- 11

            =22

Here lower half {11,13,17,20,22}

The middle number of lower half is first quartile.

Q₁ = 17

And lower half is{25,27,31,31,33}

The middle number of upper half is third quartile.

Q₃=31

Interquartile Range =Q₃-Q₁

                                =31-17

                                 =14

8 0
2 years ago
Use the drop-down menus to complete the proof. Given that w ∥ x and y is a transversal, we know that ∠1 ≅∠5 by the . Therefore,
ololo11 [35]

Answer:

From the graph attached, we know that \angle 1 \cong \angle 5 by the corresponding angle theorem, this theorem is about all angles that derive form the intersection of one transversal line with a pair of parallels. Specifically, corresponding angles are those which are placed at the same side of the transversal, one interior to parallels, one exterior to parallels, like \angle 1 and \angle 5.

We also know that, by definition of linear pair postulate, \angle 3 and \angle 1 are linear pair. Linear pair postulate is a math concept that defines two angles that are adjacent and for a straight angle, which is equal to 180°.

They are supplementary by the definition of supplementary angles. This definition states that angles which sum 180° are supplementary, and we found that \angle 3 and \angle 1 together are 180°, because they are on a straight angle. That is, m \angle 3 + m \angle 1 = 180\°

If we substitute \angle 5 for \angle 1, we have m \angle 3 + m \angle 5 = 180\°, which means that \angle 3 and \angle 5 are also supplementary by definition.

4 0
2 years ago
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steve gaimes is paid overtime for all time worked past 40 hours in a week. his regular time pay rate is $12 an hour and his over
Elena-2011 [213]

Answer:

40 hours

Step-by-step explanation:

47.3-40= 7.3

He worked 7.3 hours overtime meaning he worked 40 regular hours.

6 0
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