A solution contains 0.112 M potassium nitrite and 0.347 M nitrous acid (Ka = 4.5 x 10-4) The pH of this solution is Submit Answer Retry Entire Group 1 more group attempt remaining

Answer:

\(y = \frac{x - 3}{2}\)

Step-by-step explanation:

To find the inverse of a function, simply 'switch' the x and y's and solve for y. \(y = 2x + 3\) becomes \(x = 2y + 3\). Now, solving for y, we get \(y = \frac{x - 3}{2}\).

hope this helped! :)

A 5-gallon container of water weighs approximately 41.7 pounds (18.9 kilograms). This is because water has a density of 1 kilogram per liter or 8.34 pounds per gallon. Therefore, a 5-gallon container holds 18.9 liters of water, which weighs 18.9 kilograms or 41.7 pounds.

A gallon of water is equivalent to 8.34 pounds of water. So 5-gallon of water is equivalent to

= 5 * 8.34

= 41.70

A gallon of water is equivalent to 3.78 litres of water. So 5-gallon of water is equivalent to

= 5 * 3.78

= 18.90

A litre of water is equivalent to 1 kilogram of water. So 18.90 litres of water is equivalent to

= 18.90 * 1

= 18.90

To know more on gallon

https://brainly.com/question/1462470

#SPJ4

To find the possible values of k, we need to calculate the determinant of matrix D and set it equal to 1024.

Given matrix D:

D = | k 0 0 |

| 3 k² k³ |

| 0 kª k³ kº |

| k k k |

| 0 0 0 |

| k¹⁰ |

The determinant of D can be calculated by expanding along the first row or the first column. Let's expand along the first row:

det(D) = k(det | k³ k k |

| 0 k³ kº |

| 0 0 k¹⁰ |)

- 0(det | 3 k² k³ |

| 0 kª k³ |

| k k k |)

+ 0(det | 3 k² k³ |

| k k k |

| k k k |)

Simplifying further, we have:

det(D) = k(det | k³ k k |

| 0 k³ kº |

| 0 0 k¹⁰ |)

Now, we can calculate the determinant of the 3x3 submatrix:

det | k³ k k |

| 0 k³ kº |

| 0 0 k¹⁰ |

This determinant can be found by expanding along the first row or the first column. Expanding along the first row gives us:

det = k(k³(kº) - 0(k)) - 0(0(k¹⁰)) = k⁴kº = k⁴+kº

Now, we can set det(D) equal to 1024 and solve for k:

k⁴+kº = 1024

Since we are looking for all possible values of k, we need to solve this equation for k. However, solving this equation may require numerical methods or approximations, as it is a quartic equation.

Learn more about matrix here

https://brainly.com/question/2456804

#SPJ11

Answer:

b

Step-by-step explanation:

to find the volume of the figure you have to multiply the with times the length times the height

2x12x9=216

Answer:

B

Step-by-step explanation:

Red goes first then blue

5:3

Answer:

5

3

; 5 to 3; 5:3

Step-by-step explanation:

In this problem, we have a graph of the PDF (Probability Density Function). To compute probabilities in a certain interval (a, b), we must integrate this function from x = a to x = b.

(1) P(X ≤ 22)

We integrate the function from x = -∞ to x = 22, we get:

We separated the integral to use the data from the graph.

(2) P(X > 21)

We integrate the function from x = 21 to x = ∞, we get:

(3) The Q1 is the value x = a of the interval (-∞, a) that gives a probability equal to 0.25. So we must find x such that:

(4) The median is the value x = a of the interval (-∞, a) that gives a probability equal to 0.5. Proceeding as before, we have:

(5) The Q3 is the value x = a of the interval (-∞, a) that gives a probability equal to 0.75. Proceeding as before, we have:

(6) The IQR is given by the difference between Q3 and Q1. Using the results from above, we get:

• P(X ≤ 22) = 0.5

• P(X > 21) = 0.75

• Q1 = 21

• median = 22

• Q3 = 23

• IQR = 2

Answer:

A) \(f^{-1}(x)=-\frac{1}{5}x-\frac{4}{5}\)

Step-by-step explanation:

\(f(x)=-5x-4\\y=-5x-4\\x=-5y-4\\x+4=-5y\\-\frac{1}{5}x-\frac{4}{5}=y\\\\f^{-1}(x)=-\frac{1}{5}x-\frac{4}{5}\)

When finding the inverse of a function, we switch the values of x and y, and then solve for y, like in the 3rd-6th steps.

Answer:

Step-by-step explanation:

The area of a parallelogram is base times height.

In this case it would be:

(3x +1) (5x-4)

Then multiply to simplify.

Use FOIL

15x² - 12x + 5x - 4

Simplify again

15x² - 7x - 4

Step-by-step explanation:

4x and 6x sit on a straight line therefore must equal to 180°

4x+6x = 180° (∠'s on str. line)

10x = 180

x= 180/10

x= 18

Then we need to find ∠UYV

∠UYV = 4x

=4(18)

=72°

So ∠UYV = 72°

Answer:

m∠QPS = 59

Step-by-step explanation:

59 + (7x-5) = 180

x = 18

If you substitute 59 with the other answer options you will get a decimal.

I hope that this could help!!!!

The phase angle (φ) represents the Initial position of the particle at time t = 0. Depending on the specific starting position.

The equation that describes the simple harmonic motion of a particle moving uniformly around a circle can be given by:

x(t) = A * cos(ωt + φ)

In this equation, x(t) represents the displacement of the particle from the center of the circle at time t. A represents the amplitude of the motion, which is the maximum displacement from the center. ω represents the angular frequency or angular speed of the motion, given in radians per unit of time. φ represents the phase angle or initial phase of the motion.

In the given scenario, the particle is moving uniformly around a circle of radius 7 units. The angular speed is 2 radians per second. Since the particle is moving uniformly, the angular frequency (ω) is equal to the angular speed (2 radians per second). The radius of the circle is 7 units, which represents the amplitude (A) of the motion.

Substituting the values into the equation, we get:

x(t) = 7 * cos(2t + φ)

The phase angle (φ) represents the initial position of the particle at time t = 0. Depending on the specific starting position, the value of φ may vary.

the simple harmonic motion of the particle moving around the circle. The cosine function represents the periodic nature of the motion, with the particle oscillating back and forth along the circumference of the circle with the given amplitude and angular frequency.

To know more about Initial position.

https://brainly.com/question/30327255

#SPJ11

\(1 cm = 100 mm\)Answer:

A) 4.3 cm

  0.043 mm

B)7.2 cm

  0.072 mm

Answer: The sales tax rate is 3%.

Step-by-step explanation: $12.90 is 3% of $430.

The sales tax rate is approximately 3%.

To find the sales tax rate, we can divide the amount of sales tax by the cost of the item before tax, and then multiply by 100 to express it as a percentage.

Given that the item costs $430 before tax and the sales tax is $12.90, we can calculate the sales tax rate as follows:

Sales tax rate = (Sales tax / Cost before tax) * 100

Sales tax rate = ($12.90 / $430) * 100

Sales tax rate ≈ 0.03 * 100

Sales tax rate ≈ 3%

Therefore, the sales tax rate is approximately 3%.

To know more about sales tax rate click here :

https://brainly.com/question/29751934

#SPJ2

The median of a normal distribution with a mean of $\mu$ and standard deviation of $\sigma$ is simply equal to the mean $\mu$. Therefore, for a normal distribution with a mean of 61 and a standard deviation of 14, the median is also 61.

This is because the normal distribution is a symmetric distribution, with the mean, median, and mode all located at the same point on the horizontal axis. The mean represents the center of the distribution and is also the balance point for the distribution, so half of the observations will be less than the mean and half will be greater than the mean.

Therefore, for a normal distribution with a given mean and standard deviation, we can use the mean as an estimate of the median. In this case, the mean is exactly equal to the median, so the median is 61.

It is worth noting that this property of normal distributions only holds for normal distributions, and not necessarily for other types of distributions. For example, in a skewed distribution, the mean and median may be quite different from each other.

For more details about median click here:

https://brainly.com/question/28060453#

#SPJ11

Answer:

= 1424.775 in ^3

Step-by-step explanation:

There are two points that satisfy the system of equations:

(0.79, 0.37)

(-3.79, -12.37)

The system of equations is:

y = 3x - 3

y = -x^2

To determine which point from a specified set satisfies the system of equations, we need to find the values of x and y that satisfy both equations simultaneously.

Substituting y = 3x - 3 into the second equation, we get:

3x - 3 = -x^2

Rearranging this equation, we get:

x^2 + 3x - 3 = 0

Using the quadratic formula, we can solve for x:

x = (-3 ± sqrt(3^2 - 41(-3))) / (2*1) = (-3 ± sqrt(21)) / 2

Therefore, there are two possible values of x that satisfy the system of equations:

x = (-3 + sqrt(21)) / 2 ≈ 0.79

x = (-3 - sqrt(21)) / 2 ≈ -3.79

To find the corresponding values of y, we can substitute these values of x into either equation. For example, if we use y = 3x - 3, we get:

y ≈ 0.37 (when x ≈ 0.79)

y ≈ -12.37 (when x ≈ -3.79)

Therefore, there are two points that satisfy the system of equations:

(0.79, 0.37)

(-3.79, -12.37)

To know more about Equations :

https://brainly.com/question/13865224

#SPJ11

The probability that in any given hour fewer than three new visitors will arrive at the website is 0.5948.

a) The probability that in any given hour zero new visitors will arrive at the website is given by;P(X = 0) = (e^-λ λ^0)/0!Where λ = 2.3Thus;P(X = 0) = (e^-2.3 2.3^0)/0!P(X = 0) = (0.1003)/1P(X = 0) = 0.1003b) The probability that in any given hour exactly one new visitor will arrive at the website is given by;P(X = 1) = (e^-λ λ^1)/1!Where λ = 2.3Thus;P(X = 1) = (e^-2.3 2.3^1)/1!P(X = 1) = (0.2303)/1P(X = 1) = 0.2303c) The probability that in any given hour two or more new visitors will arrive at the website is given by;P(X ≥ 2) = 1 - P(X = 0) - P(X = 1)Thus;P(X ≥ 2) = 1 - 0.1003 - 0.2303P(X ≥ 2) = 0.6694d) The probability that in any given hour fewer than three new visitors will arrive at the website is given by;P(X < 3) = P(X = 0) + P(X = 1) + P(X = 2)Thus;P(X < 3) = 0.1003 + 0.2303 + 0.2642P(X < 3) = 0.5948Therefore,The probability that in any given hour zero new visitors will arrive at the website is 0.1003.The probability that in any given hour exactly one new visitor will arrive at the website is 0.2303.The probability that in any given hour two or more new visitors will arrive at the website is 0.6694.The probability that in any given hour fewer than three new visitors will arrive at the website is 0.5948.

Learn more about Probability

brainly.com/question/30034780

#SPJ4

Answer: 486 in

Just did this on edge

The enlargement transformation applied to the rectangular figure gives

a rectangle that is enlarged and similar to the figure.

Correct response:

The given dimensions of the picture are;

Height, \(\overline{MN}\) = 6 in.

Width, \(\overline{LP}\) = 4 in.

The length of QL' = 12  + 42 = 54

By similar triangles, we have;

\(\dfrac{\overline{L'P'}}{\overline{LP}} = \mathbf{ \dfrac{\overline{QL'}}{\overline{QL}}}\)

Which gives;

\(\dfrac{\overline{L'P'}}{6} = \mathbf{ \dfrac{54}{12}}\)

\(\overline{L'P'} = \dfrac{54 }{12} \times 6 = \mathbf{27}\)

Given that an enlargement gives similar figures, we have;

\(\dfrac{\overline{L'P'}}{\overline{LP}} = \mathbf{\dfrac{\overline{L'M'}}{\overline{LM}}} = Scale \, factor \ of \ the \ enlargement\)

Therefore;

\(\dfrac{27}{6} = \dfrac{\overline{L'M'}}{4}\)

Which gives;

\(\overline{L'M'} = \dfrac{27}{6} \times 4 = \mathbf{ 18}\)

The area of the enlarged picture is, A = \(\overline{L'M'}\) × \(\overline{L'P'}\)

Which gives;

A = 27 × 18 = 486

Learn more about scale factors and enlargement transformation here:

https://brainly.com/question/14215765

https://brainly.com/question/2839518

An equation in mathematics known as a differential equation connects a function to its derivatives. It involves the derivatives of one or more unknown functions with regard to one or more independent variables.

We can use the method of precise equations to resolve the differential equation (3x2 + y)dx + (x2y - x)dy = 0 that is presented.

In order to determine whether the equation is precise, we must first determine whether (M)/(y) = (N)/(x), where M = 3x2 + y and N = x2y - x.

We have the following partial derivatives: 

(M)/(y) = 1 and 

(N)/(x) = 2xy - 1

The equation is not accurate because (M)/(y) does not equal (N)/(x).

We must identify an integrating factor in order to make the equation exact. We can calculate it by multiplying 

(M)/(y) by (N)-(N)/(x).

Integrating factor is equal to [(M/y)]. N-(N)/(x) 

= 1 / (2xy - 2xy + 1).

=1

Multiplying the entire equation by the integrating factor, we get:

(3x² + y)dx + (x²y - x)dy = 0

Since the integrating factor is 1, the equation remains unchanged.

Next, we integrate both sides of the equation with respect to x and y, treating the other variable as a constant.

Integrating the first term with respect to x, we get:

∫(3x² + y)dx = x³ + xy + C1(y)

Integrating the second term with respect to y, we get:

∫(x²y - x)dy = x²y²/2 - xy + C2(x)

Combining the two integrated terms, we have:

x³ + xy + C1(y) + x²y²/2 - xy + C2(x) = C

Simplifying, we can write the solution as:

x³ + x²y²/2 + C1(y) + C2(x) = C

To know more about Differential Equation visit:

https://brainly.com/question/25731911

#SPJ11

Answer:

  56°÷

Step-by-step explanation:

The sum of the central angles in a circle is 360°. That means unmarked angle RUS is ...

  360° -111° -137° = 112°

Inscribed angle RTS is half the measure of central angle RUS, so ...

  ∠RTS = 112°/2 = 56°

Answer:

i don't understand the question sorry

Answer:

4 is the exponent.

Step-by-step explanation:

In the expression, 2⁴. 4 is called the exponents.

Mathematical functions with exponents include exponential functions. f(x) = bˣ, where b > 0, is a fundamental exponential function.

Given:

An expression, 2⁴.

In the expression,

4 is the exponents.

Therefore, 4 is called the exponents.

To learn more about the exponential;

https://brainly.com/question/14344314

#SPJ2

Answer:

bq

Step-by-step explanation:

Simplify:

Explanation:

Answer:

B 14

explanation:

i did the math

The perimeter of the given triangle is 14 units, so the correct option is B.

The perimeter of the triangle will be equal to the sum between the distances between the given points.

Remember that the distance between two points is (x₁, y₁) and (x₂, y₂) is:

\(d = \sqrt{(y_2 - y_1)^2 + (x_2 - x_1)^2}\)

For the pair of (1,3), (2,-3): the distance is:

\(d = \sqrt{(2 - 1)^2 + (-3 - 3)^2} = 6.08\)

For the pair (1, 3) , (-1, -1) the distance is:

\(d = \sqrt{(-1 - 1)^2 + (-1 - 3)^2} = 4.5\)

For the pair (2, -3) and (-1, -1) the distance is:

\(d = \sqrt{(2 - (-1))^2 + (-3 - (-1))^2} = 3.6\)

Then the total perimeter, rounded to the next whole number is:

6.08 + 4.5 + 3.6 = 14

So the correct option is B.

If you want to learn more about triangles, you can read:

https://brainly.com/question/4289712

Answer:

It took 5 hours

Step-by-step explanation:

45 = 10 + 7x

35 = 7x

5 = x

Answer:35 cars in 7 hours.

Step-by-step explanation:15/3=5 per hour. 5x7=35.

Answer:

35 cars in 7 hrs

Step-by-step explanation:

Steve's rate of work is (15 cars) / (3 hrs), or 5 cars/hr.

In 7 hrs he can wash

5 cars

---------- * 7 hrs = 35 cars in 7 hrs

   hr

The correct option is a. H0 :μ1 =−μ2 ;Ha :μ1 <−μ2. Here, the null hypothesis (H0) is the statement being tested, which states that there is no significant difference between the means of two populations, i.e., the mean sleep times of high-school students and middle-school students are equal.

Thus, the null hypothesis is given by:H0: μ1 = μ2where μ1 is the population mean of high-school students, and μ2 is the population mean of middle-school students.The alternative hypothesis (Ha) is the statement that is true if the null hypothesis is rejected.

It is the opposite of the null hypothesis, i.e., there is a significant difference between the means of two populations, i.e., the mean sleep times of high-school students and middle-school students are not equal. Thus, the alternative hypothesis is given by:Ha: μ1 < μ2The option that represents these hypotheses is a. H0 :μ1 =−μ2 ;Ha :μ1 <−μ2.

To know more about populations visit:

https://brainly.com/question/30935898

#SPJ11

90, They are measuring the same, therefore m4 = 90. Four right angles are produced when two lines overlap to form single right position.

Two full lines or rays intersect at a same terminus to make an angle. The centroid of an angle is the point at which all points meet. Angle is derived from the Latin word angulus, which means "corner."

Right angles are created when two straight lines cross at a 90° angle or are identical to one another at the intersection. The sign stands for a right angle.

To know more about intersection visits:

https://brainly.com/question/14217061

#SPJ1