The equation for the pH of a substance is pH = -log[H], where Ht iS the concentration of hydrogen ions. A basic
solution has a pH of 11.2. An acidic solution has a pH of 2.4. What is the approximate difference in the concentration
of hydrogen ions between the two solutions?
Answers
Answer:
The difference in the H⁺ concentration between the two solutions is approximately equal to the H⁺ concentration of the acidic solution.
Step-by-step explanation:
The pH is given by:
[tex] pH = -log[H^{+}] [/tex]
Where:
[tex] [H^{+}][/tex]: is the concentration of hydrogen ions.
For the basic solution (pH = 11.2), the concentration of H⁺ is given by:
[tex] [H^{+}]_{b} = 10^{-pH} = 10^{-11.2} = 6.31 \cdot 10^{-12} [/tex]
And, for the acidic solution (pH = 2.4) we have:
[tex] [H^{+}]_{a} = 10^{-pH} = 10^{-2.4} = 3.98 \cdot 10^{-3} [/tex]
Hence, the difference in the concentration of H⁺ between the two solutions is:
[tex] \Delta H^{+} = [H^{+}]_{a} - [H^{+}]_{b} = 3.98 \cdot 10^{-3} - 6.31\cdot 10^{-12} = 3.98 \cdot 10^{-3} [/tex]
Therefore, the difference in the H⁺ concentration between the two solutions is approximately equal to the H⁺ concentration of the acidic solution.
I hope it helps you!
Answer:
B. 4.0 x [tex]10^{-3}[/tex]
Step-by-step explanation:
EDG2021
![The Equation For The PH Of A Substance Is PH = -log[H], Where Ht IS The Concentration Of Hydrogen Ions.](https://brainimage.s3.us-east-005.backblazeb2.com/answers/attachments/30NqqyEOldrVq675Ai6l0zOJPHvvJVqd.png)
Related Questions
the expression when b=3 and y= -3
5b-y
Answers
Answer:
18
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightStep-by-step explanation:
Step 1: Define
Identify
b = 3
y = -3
5b - y
Step 2: Evaluate
Substitute in variables: 5(3) - -3Multiply: 15 - - 3Subtract: 18Help help help !!!!
Answers
the third choice
Step-by-step explanation:
check the exchange between logarithms and exponential functions srry but cannot write it here with my phone
A statistics class weighed 20 bags of grapes purchased from the store. The bags are advertised to contain 16 ounces, on average. The class calculated the 90% confidence interval for the true mean weight of bags of grapes from this store to be (15.875, 16.595) ounces. What is the sample mean weight of grapes, and what is the margin of error?
O The sample mean weight is 15.875 ounces, and the margin of error is 16.595 ounces.
O The sample mean weight is 16.235 ounces, and the margin of error is 0.360 ounces.
O The sample mean weight is 16.235 ounces, and the margin of error is 0.720 ounces.
O The sample mean weight is 16 ounces, and the margin of error is 0.720 ounces.
Answers
Answer:
The sample mean weight is 16.235 ounces, and the margin of error is 0.360 ounces
Step-by-step explanation:
To find the sample mean, we can find the mean of the confidence interval.
(15.875 + 16.595)/2 = 16.235
To find the margin of error, that is the difference between the mean and one of the edges of the confidence interval. 16.595 - 16.235 = 0.36
The sample mean weight is 16.235 ounces, and the margin of error is 0.360 ounces
Answer:
C. We are 90% confident that the interval from 15.875 ounces to 16.595 ounces captures the true mean weight of bags of grapes.
Step-by-step explanation:
If $100 is interested at 6% compounded:
a-Annually
b-Monthly
What is the amount after 4 years? How much interest is earned?
Answers
To find the simple interest we'll plug it into one of the two available formulas. I will use both formulas so you can determine which is easiest for you, for future problems.
r = I/Pt or I = Prt
(the / represents division)
Let's define and plug.
r = the rate (we'll be solving for r)
I = the total interest earned within the time frame ($2)
P= the principal amount ($100)
t = the total time the principal accrued interest. (6 months/ .5years)
**Because this is in a monthly basis, lets change it into a year to make it easier**
we'll just divide 6 months by 12 months.
6 ÷ 12 = 0.5 years
============================================================
Let's use the first formula first. r = I / Pt
r = 2 / 100 (0.5)
100 x 0.5 = 50
We're now left with: r = 2 / 50
Divide what we have left.
2 ÷ 50 = 0.04
This is our simple interest but we have to convert it into a percentage. To convert the decimal to the percentage, we'll move the decimal two places to the right to make 4.0.
Therefore, our simple interest would be 4%
==========================================================
let's set up the second formula: I = Prt
2 = 100 (r) (0.5)
2 = 50 (r)
2 ÷ 50 = 0.04
0.04 in percentage = 4%
Gil wants to have $9,500 in 7 years. Use the present value formula to calculate how much he should invest now at 2% interest, compounded semiannually in order to reach his goal.
Answers
Answer:
9500 × 1.02^7
Step-by-step explanation:
9500 × 1.02^7
Calculate that
Please help me i will give you brainlest
Answers
Answer:
19. - 4/11
21. 14
Step-by-step explanation:
Im sorry but i can't solve 20
If someone can pls give the answer with steps that would be greatly appreciated :)
Answers
hope it helps.
stay safe healthy and happy..Answer: look below
Step-by-step explanation:
A straight angle is 180
180-50=130
the opposite is also the same angle which is the same
180-50-50=80 and 80 + 2x =180
x=50
the angles are 50, 50, 50, 50, 80, 130 and 130 degrees respectively
How do you graph this helppp and explain
Answers
Answer:
bottom graph
Step-by-step explanation:
f(x) = |3q-6|
because you have absolute value there are 2 possibilities
y= +(3q-6) and y= -(3q-6)
to find where the graph intersects the x-axis make y=0 because there the y coordinate is 0, so we have...
3q-6 =0 and -3q+6 =0
3q= 6 and -3q =-6
q=2 and q=2
the bottom graph has the intersection with x-axis only at 2, so is the correct one
9514 1404 393
Answer:
bottom graph shown
Step-by-step explanation:
It can be helpful to rearrange the equation to either of the equivalent forms ...
f(x) = |3(x -2)|
or ...
f(x) = 3|x -2|
_____
The first of these forms represents a horizontal compression of the absolute value function by a factor of 3, then a right-shift by 2 units. This matches the bottom graph shown.
__
The second of these forms represents a horizontal right-shift by 2 units, and a vertical expansion by a factor of 3. This matches the bottom graph shown.
__
The attached graph shows the function given here along with the absolute value parent function.
_____
Additional comment
The transformations we're usually interested in are ...
g(x) = k·f(x) . . . . vertically scaled (stretched) by a factor of k
g(x) = f(kx) . . . . .horizontally compressed by a factor of k
g(x) = f(x) +k . . . shifted up by k units
g(x) = f(x -k) . . . . shifted right by k units
In many cases, as here, horizontal scaling and vertical scaling are indistinguishable as to which caused a given effect.
What is the solution to the system of equations below
Answers
Answer:
A
Step-by-step explanation:
1/2x-4=-2x-9...u vil get the ans
How many different simple random samples of size 4 from a population size 46
Answers
This is one single number. The number is slightly larger than 163 thousand.
====================================================
Explanation:
Consider four slots labeled A,B,C,D
We have....
46 choices for slot A45 choices for slot B44 choices for slot C43 choices for slot DThere's a countdown going on (46,45,44,43) when filling up the slots. This countdown is because we cannot reselect any specific person for multiple slots at the same time.
If order mattered, then we'd have 46*45*44*43 = 3,916,440 permutations possible.
However, order doesn't matter. For any group of 4 people, there are 4! = 4*3*2*1 = 24 ways to arrange them. So we must divide the previous result over 24 to get (3,916,440)/24 = 163,185
This means there are 163,185 different combinations and this is the number of possible samples of size 4 from a population of 46 people. The order of any sample doesn't matter.
If you apply for a job with Globo Corp, there is a 75% chance that you will get an interview.
If you get an interview, there is a 48% chance that you will get the job.
If you apply for a job with Globo Corp, what is the probability that you will get the job?
Express your answer as a decimal, rounded to the nearest hundredth.
Answers
Answer:
The probability that you will get the job If you apply for a job with Globo Corp=0.36
Step-by-step explanation:
We are given that
If you apply for a job with Globo Corp, then the probability of getting interview P(A)=75%=0.75
If you get an interview, then the probability of getting job=P(B)=48%=0.48
We have to find the probability that you will get the job If you apply for a job with Globo Corp.
If you apply for a job with Globo Corp, the probability of getting job=[tex]P(A)\times P(B)[/tex]
If you apply for a job with Globo Corp, the probability of getting job=[tex]0.75\times 0.48[/tex]
If you apply for a job with Globo Corp, the probability of getting job=0.36
Hence, the probability that you will get the job If you apply for a job with Globo Corp=0.36
An angle with measure of 71° is bisect at what angle?
Answers
Answer:
A
Step-by-step explanation: just divide 71 into 2 which gives you 35.5 making a your answer.
The radioactive isotope carbon-14 is present in small quantities in all life forms, and it is constantly replenished until the organism dies, after which it decays to stable carbon-12 at a rate proportional to the amount of carbon-14 present, with a half-life of 5549 years. Let C(t) be the amount of carbon-14 present at time t.
(a) Find the value of the constant k in the differential equation C' = -kC.
(b) In 1988 three teams of scientists found that the Shroud of Turin, which was reputed to be the burial cloth of Jesus, contained 91% of the amount of carbon-14 contained in freshly made cloth of the same material. How old was the Shroud of Turin at the time of this data?
Answers
Answer:
a) k = 0.00012491389
b) The Shroud of Turin was 755 years old at the time of this data.
Step-by-step explanation:
(a) Find the value of the constant k in the differential equation C' = -kC.
First we find the differential equation, by separation of variables. So
[tex]\int \frac{C^{\prime}}{C} dt = -\int k dt[/tex]
So
[tex]\ln{C} = -kt + K[/tex]
In which K is the constant of integration, representing the initial amount of substance. So
[tex]C(t) = C(0)e^{-kt}[/tex]
Half-life of 5549 years.
This means that [tex]C(5549) = 0.5C(0)[/tex]. We use this to find k. So
[tex]C(t) = C(0)e^{-kt}[/tex]
[tex]0.5C(0) = C(0)e^{-5549k}[/tex]
[tex]e^{-5549k} = 0.5[/tex]
[tex]\ln{e^{-5549k}} = \ln{0.5}[/tex]
[tex]-5549k = \ln{0.5}[/tex]
[tex]k = -\frac{\ln{0.5}}{5549}[/tex]
[tex]k = 0.00012491389[/tex]
So
[tex]C(t) = C(0)e^{-0.00012491389t}[/tex]
(b) In 1988 three teams of scientists found that the Shroud of Turin, which was reputed to be the burial cloth of Jesus, contained 91% of the amount of carbon-14 contained in freshly made cloth of the same material. How old was the Shroud of Turin at the time of this data?
This is t for which [tex]C(t) = 0.91C(0)[/tex]
So
[tex]C(t) = C(0)e^{-0.00012491389t}[/tex]
[tex]0.91C(0) = C(0)e^{-0.00012491389t}[/tex]
[tex]e^{-0.00012491389t} = 0.91[/tex]
[tex]\ln{e^{-0.00012491389t}} = \ln{0.91}[/tex]
[tex]-0.00012491389t = \ln{0.91}[/tex]
[tex]t = -\frac{\ln{0.91}}{0.00012491389}[/tex]
[tex]t = 755[/tex]
The Shroud of Turin was 755 years old at the time of this data.
jenny has 3 cherry candies and 3 orange candies. She takes out 2 candies without looking.What is the probability in fractions that both are cherry?
Answers
f(x) = 2x + 9
f^-1(x)= ??
Answers
Step-by-step explanation:
Given
f(x) = 2x + 9
f^-1 (x) = ?
Let
y = f(x)
y = 2x + 9
Interchanging the roles of x and y we get
x = 2y + 9
2y = x - 9
y = ( x - 9) / 2
Therefore
⏩f^-1(x) = (x-9)/2
Hope it will help :)
calculate limits x>-infinity
-2x^5-3x+1
Answers
Given:
The limit problem is:
[tex]\lim_{x\to -\infty}(-2x^5-3x+1)[/tex]
To find:
The value of the given limit problem.
Solution:
We have,
[tex]\lim_{x\to -\infty}(-2x^5-3x+1)[/tex]
In the function [tex]-2x^5-3x+1[/tex], the degree of the polynomial is 5, which is an odd number and the leading coefficient is -2, which is a negative number.
So, the function approaches to positive infinity as x approaches to negative infinity.
[tex]\lim_{x\to -\infty}(-2x^5-3x+1)=\infty[/tex]
Therefore, [tex]\lim_{x\to -\infty}(-2x^5-3x+1)=\infty[/tex].
help on part 3? not sure what i’m supposed to do
Answers
The x-intercepts are the points on the plot of a function f(x) where the graph crosses the x-axis. In other words, they're the values of x that make f(x) = 0.
In this case, the x-intercepts are the two roots of the parabola,
(x - 4) (x - 5) = 0 … … … (this is what the hint is referring to)
==> x - 4 = 0 or x - 5 = 0
==> x = 4 or x = 5
The intercepts themselves are points (x, f(x)), so you can report them as (4, 0) and (5, 0).
Simplify 6/x^2−2x/x^2+3.
Answers
Answer:
3x2−2x+6/x2
Step-by-step explanation:
have a great day <33333
After x hours, the distance between two trains traveling in opposite directions from the same station is 704 km. If one train travels 96 km/h and the other travels 80 km/h, find the number of hours they traveled if they left at the same time.
Answers
Answer:
4 hr
Step-by-step explanation:
96 x 4= 384
80 x 4=320
384+320=704
In a mixture of 240 gallons, the ratio of ethanol and gasoline is 3:1. If the ratio is to be 1:3, then find the quantity of gasoline that is to be added.
Answers
Answer:
480 gallons.
Step-by-step explanation:
Given that in a mixture of 240 gallons, the ratio of ethanol and gasoline is 3: 1, if the ratio is to be 1: 3, to find the quantity of gasoline that is to be added the following calculation must be performed:
240/4 x 3 = Ethanol
240/4 = Gasoline
180 = Ethanol
60 = Gasoline
0.25 = 180
1 = X
180 / 0.25 = X
720 = X
720 - 180 - 60 = X
480 = X
Therefore, 480 gallons of gasoline must be added if the ratio is to be 1: 3.
Can someone help me out?
Answers
Answer:
Terms:
-5x4-x-1Like Terms:
-5x and -x4 and -1Coefficients:
The coefficient of -5x is -5.The coefficient of -x is -1.Constants:
4-1You simplify the expression by combining like terms:
-5x + 4 - x - 1 = -6x + 5
(7b - 4) + (-2b + a + 1) = 7b - 4 - 2b + a + 1 = 5b + a - 3
At a bake sale, pies cost $8 each. One customer buys $64 worth of pies.
Answers
The customer bought 8 pies.
To find the total amount of pies the customer bought, simply divide 64 by 8 to recieve your answer of 8 pies.
I hope this is correct and helps!
Now actually compute 2 - 8
Answers
Answer:
the answer is -6. you just subtract 2 with 8
Sketch the graph of y = 2(x – 2)2 and identify the axis of symmetry
Answers
Answer:
x = 2
Step-by-step explanation:
The minimum point of the curve is (2, 0). Hence, axis of symmetry is x = 2
The sum of 4 consecutive multiples of 6 is 540. What is the greatest of these numbers?
Answers
Answer:
144
Step-by-step explanation:
First: 6x
Second: 6x+6
Third: 6x+12
Fourth: 6x+18
- Since they're multiples of 6
[tex]6x+6x+6+6x+12+6x+18=540[/tex]
[tex]24x+36=540\\[/tex]
Subract 36 from each side give us...
[tex]24x=504\\x=21[/tex]
[tex]21(6)+18=144[/tex]
Hope this helped! Please mark brainliest :)
you count after 2. What is the number?
4. When this 3-digit number is rounded to the
nearest hundred, it rounds to 200. Rounded
to the nearest ten, this number rounds to
200. The sum of the digits of this number
is 19. What is the number?
Answers
Answer:
I think the answer is 100 because nothing greater than 200 if its rounded hope this helped if not sorry
Match the number of significant figures to the value or problem.
1
?
0.008
4
?
54
3
?
1002. 43.2
2
?
1.068
Answers
Answer:
answer is 1 2 3 and 4 respectively of given match the following
the angle of elevation of the top of the mast from a point 53m to its base on level ground is 61°. find the height of the mast to the nearest meter
Answers
the answer Is 95.61465. If you approximate you get 10.
The 11th term of an arithmetic progression is 14 and the sum of the first 26 terms is 416. Find the first term and the common difference.
Answers
Answer:
The first term is 6; the common difference in 0.8.
Step-by-step explanation:
The nth term is:
[tex] a_n = a_1 + (n - 1)d [/tex]
The sum of the first n terms is:
[tex] S_n = \dfrac{n(a_1 + a_n)}{2} [/tex]
[tex] a_{n} = a_1 + (n - 1)d [/tex]
[tex] a_{11} = a_1 + (11-1)d [/tex]
[tex] a_1 + 10d = 14 [/tex] Equation 1
[tex] S_n = \dfrac{n(a_1 + a_n)}{2} [/tex]
[tex] S_{26} = \dfrac{26(a_1 + a_{26})}{2} [/tex]
[tex] \dfrac{26(a_1 + a_1 + 25d}{2} = 416 [/tex]
[tex] \dfrac{52a_1 + 650d)}{2} = 416 [/tex]
[tex] 26a_1 + 325d = 416 [/tex] Equation 2
Equation 1 and Equation 2 form a system of equations in 2 unknowns.
To eliminate a_1, subtract 26 times Eq. 1 from Eq. 2.
[tex] 65d = 52 [/tex]
[tex] d = \dfrac{52}{65} [/tex]
[tex] d = \dfrac{4}{5} = 0.8 [/tex]
[tex] a_1 + 10d = 14 [/tex]
[tex] a_1 + 10 \times 0.8 = 14 [/tex]
[tex] a_1 + 8 = 14 [/tex]
[tex] a_1 = 6 [/tex]
Answer:
The first term is 6; the common difference in 0.8.
Negate this conditional statement. Please show proper work and an explanation. Those who attempt to just respond in order to get a lot of points shall be reported. Thank you.
Answers
Answer:
a AND ~c
Step-by-step explanation:
you can find the full explanation in wikipedia:
https://en.m.wikipedia.org/wiki/Material_conditional
under "Negated conditionals"
