Express 4 + ln 2 - ln 4 as a single natural logarithm. a. ln 2 b. ln 4 c. ln 64

As a result of these entries, the revenue and expense accounts will have zero balances, and the net income of $19,500 will be transferred to the Retained Earnings account.

What is Algebraic expression ?

Algebraic expression can be defined as combination of variables and constants.

Based on the information provided in the image, here are the closing entries for the accounting period:

Close the revenue accounts:

Account Titles Debit Credit

Income Summary 34,000

Service Revenue           34,000

Close the expense accounts:

Account Titles Debit Credit

Salaries Expense 8,000

Rent Expense         6,000

Supplies Expense 1,500

Income Summary           15,500

Close the Income Summary account to the Retained Earnings account:

Account Titles Debit Credit

Income Summary          19,500

Retained Earnings 19,500

Therefore, As a result of these entries, the revenue and expense accounts will have zero balances, and the net income of $19,500 will be transferred to the Retained Earnings account.

To learn more about Algebraic expression from given link.

brainly.com/question/953809

#SPJ1

Answer: look at the image for the answer and explanation

Step-by-step explanation:

To complete the square for the equation [tex]x^2 + 8x + 32 = (x - h)^2 + 16[/tex],

we need to choose h = -2.

To complete the square for the given equation

[tex]x^2 + 8x + 32 = (x - h)^2 + 16[/tex],

we need to express the left-hand side of the equation in the form

[tex](x - p)^2 + q[/tex], where p and q are constants.

We can start by expanding the right-hand side of the equation:

[tex](x - h)^2 + 16 = x^2 - 2hx + h^2 + 16[/tex]

Now we can compare the coefficients of [tex]x^2[/tex], x, and the constant term on both sides of the equation:

[tex]x^2 + 8x + 32 = (x - p)^2 + q[/tex]

=> [tex]p^2 = 0[/tex] (since the coefficient of [tex]x^2[/tex] is 1 on both sides)

=> -2hp = 8 (since the coefficient of x is 8 on the left-hand side)

=> h = -2 (solving for h)

=> q = [tex]h^2 + 16[/tex] = 20 (since the constant term on the right-hand side is 16)

For more questions on completing the square

https://brainly.com/question/1596209

#SPJ4

The complete question may be:

What value of h is needed to complete the square for the equation [tex]x^2+8 x+32=(x-h)^2+16[/tex] ?

As per the conversion factor, 33 inches is equivalent to 2.75 feet.

When we want to convert one unit to another, we use conversion factors to do so. A conversion factor is a ratio that represents the relationship between two units of measurement. In this case, we want to convert inches to feet.

To convert inches to feet, we need to use the conversion factor of 1 foot equals 12 inches. This means that for every 12 inches, we have 1 foot. To convert 33 inches to feet, we divide 33 by 12.

33 inches ÷ 12 inches/foot = 2.75 feet

To summarize, we used the conversion factor of 1 foot equals 12 inches to convert 33 inches to feet. We divided 33 by 12 to get the equivalent value in feet, which is 2.75. Always remember to use the appropriate conversion factor when converting units to avoid mistakes.

To know more about conversion factor here.

https://brainly.com/question/30166433

#SPJ4

Answer:

The domains are (1,4,9) Ranges are (-1,-2,-3)

Step-by-step explanation:

The domain is on the x-axis and the range is on the y-axis

Answer:

A) 210 B) 0.18

Step-by-step explanation:

got it right

The factorial of a number n is the product of all positive integers up to and including n

The factorial function is typically represented using the "!" symbol, such that n! represents the product of all positive integers up to and including n. For example, 5! = 5 x 4 x 3 x 2 x 1 = 120.

To represent the factorial function using product notation, we can write:

n! = ∏_{i=1}^n i

This means that we take the product of all positive integers from 1 to n, which is equivalent to computing n!. For example, using this notation, we can write:

5! = ∏_{i=1}^5 i = 1 x 2 x 3 x 4 x 5 = 120

Note that the product starts at i=1 and goes up to n, which includes all the positive integers we want to multiply together.

Learn more about factorial here

brainly.com/question/29183179

#SPJ4

The values in the composite functions are (u o w)(2) is 7 and (w o u)(2) is 3

A composite function is a function that results from the combination of two or more functions. To form a composite function, the output of one function is used as the input of another function. The composite function can be represented by a single formula or equation, which combines the individual functions.

Let's say we have two functions f(x) and g(x). The composite function f(g(x)) is formed by using the output of the function g(x) as the input of the function f(x). In other words, we first apply g(x) to x, and then we apply f(x) to the result. The resulting composite function is written as f(g(x)).

In the problem given;

u(x) = x² + 3

w(x) = √(x + 2)

a.

(u o w)(2) = 7

b.

(w o u)(2) = 3

Learn more on composite function here;

https://brainly.com/question/10687170

#SPJ1

Unearned income may vary depending on investment performance, interest rates, and changes in government policies.

Income is the consumption and saving opportunity gained by an entity within a specified timeframe, which is generally expressed in monetary terms.

In 10 years, an individual's earned and unearned income may vary greatly depending on their career and investment choices, economic conditions, and personal circumstances.

Some individuals may see increases in earned income as they gain more experience or take on higher-paying positions, while others may see fluctuations or decreases in earned income due to changes in the job market.

Similarly, unearned income may vary depending on investment performance, interest rates, and changes in government policies.

Hence, unearned income may vary depending on investment performance, interest rates, and changes in government policies.

To learn more on Income click:

https://brainly.com/question/14732695

#SPJ1

−13w−7

Explanation:
−6w+(−8)+1+(−7w)

Add −8 and 1 to get −7.

−6w−7−7w

Combine −6w and −7w to get −13w.

−13w−7

Answer: -13w-7

-6w - 8 + 1 -7w

-6w + - 8 + 1 + -7w

Even though dividing a fraction by a whole number might be challenging, it is simple to achieve with a few steps. By placing the full number above 1, you must first divide it into a fraction. After that, multiply the fraction you are dividing by the inverted version of the fraction. Lastly, simplify the response as much as possible.

For instance, to multiply 3/4 by 2:

Put 2 over 1, making it 2/1, to make it a fraction.

To get 1/2, invert 2/1.

To get 3/8, multiply 3/4 by 1/2.

Divide the numerator and denominator by 3 to get 1/4, which is the simplest representation of the fraction 3/8.

Hence, 1/4 is equivalent to 3/4 when divided by 2.

Learn more about fractions at

https://brainly.com/question/10354322

#SPJ4

Answer: To determine how much money each department will receive from this year's fundraiser, we need to know the percentage of the total amount raised that each department will receive. We can calculate this by dividing the amount raised by the total percentage allocated to each department. Here is an example calculation:

Assuming there are three departments - A, B, and C, and they will receive 40%, 30%, and 30% of the total amount raised, respectively.

Step 1: Calculate the total percentage allocated to all departments

40% + 30% + 30% = 100%

Step 2: Calculate how much money each department will receive based on their percentage share of the total amount raised

Department A: 40% of $160 = $64

Department B: 30% of $160 = $48

Department C: 30% of $160 = $48

So, department A will receive $64, department B will receive $48, and department C will receive $48 from this year's fundraiser.

Note: The percentage allocation for each department is assumed in this example, so you should adjust the percentage according to your specific situation.

Step-by-step explanation:

The length of each side of the octagon with area of 576 square centimeters and an apothem of 16 centimeters is  9  centimeters .

Compared to lower sided shapes, an octagon's area is a little more complicated. A normal octagon's area is equal to 4 as. Where "s" stands for the octagonal side and "a" for the apothem, which runs straight from the pentagon's center to one of its sides.

The formula for the area of a regular octagon is:

A = 4 × apothem × side

Using this formula and the given values, we can solve for the length of each side of the octagon:

576 = 4 × 16 × side

Dividing both sides by 4 × 16, we get:

side = 576 ÷ (4 × 16)

Simplifying the right-hand side, we get:

side = 576 ÷ 64 = 9 cm.

Therefore, the length of each side of the octagon is  9 cm .

Learn more about octagon, visit:

https://brainly.com/question/28973738

#SPJ1

Answer:

Step-by-step explanation:

The area of the play area is 8.74 square feet.

If Highwood Park has 420 feet of fencing, then we can use the formula f = 47(a + 9) – 16 to calculate the area of the play area.

This formula takes in account the area (a) of the play area, as well as the number of feet of fencing needed to enclose it (f).

In this equation, the number of feet of fencing (f) is equal to 47 multiplied by the area (a) plus 9, and then subtracted by 16.

Since we know that the amount of fencing is 420 feet, we can solve the equation for the area, a.

First, we need to subtract 16 from both sides of the equation. This leaves us with

=> 420 = 47a + 9.

Next, we subtract 9 from both sides of the equation, which gives us

=> 411 = 47a.

Finally, we divide both sides of the equation by 47, which gives us

=> a = 8.74.

To know more about area here

https://brainly.com/question/14994710

#SPJ4

The complex numbers calculators are Symbolab, Desmos, Wolfram Alpha etc.

There are many online calculators available for performing calculations involving complex numbers. Here are a few options :

Symbolab : Symbolab is a popular online math tool that includes a complex numbers calculator.

Desmos : Desmos is a powerful online graphing calculator that also includes support for complex numbers

Wolfram Alpha: Wolfram Alpha is a computational search engine that can perform a wide range of mathematical calculations, including those involving complex numbers

These are just a few options, but there are many other online calculators and resources available for performing calculations involving complex numbers.

Learn more about complex numbers here

brainly.com/question/20566728

#SPJ4

Answer: i think its 40

Step-by-step explanation: because triangles in general are supposed to have the angle 180 and 40 add 400 add 100 equals 180

Period, which is a measure of how long an oscillation lasts, is constant. With L being the pendulum's length and g being the acceleration brought on by gravity, the formula for calculating a pendulum's period is T = 2π √L/g,

A simple pendulum is a machine whose point mass is suspended from a fixed support by a light, inextensible string. When a pendulum is displaced sideways from its resting position due to gravity, the equilibrium position is subjected to a restoring force that will accelerate it back toward the equilibrium position.

Only the length of the string affects a pendulum's period; the mass of the ball has no bearing. When two pendula are the same length but have different masses, their periods will be the same. The pendulum with the longer string will have a longer period if there are two of them, but their periods will differ.

To learn more oscillation: https://brainly.com/question/12622728

#SPJ4

The solution of the inequality is x < -4 or x < 4

An inequality is a relationship that makes a non-equal comparison between two numbers or other mathematical expressions e.g. 2x > 4

An inequality can be expressed using one of several symbols, including < (less than), > (greater than), <= (less than or equal to), >= (greater than or equal to), and != (not equal to).

x² < 16

Take the square root of both sides:

x < ±√16

x < ±4

x < -4 or x < 4

Therefore, the solution is x < -4 or x < 4

Learn more about inequality on:

brainly.com/question/25275758

#SPJ1

Answer:

Step-by-step explanation:

Answer:

so the bike is 7. car is 8 walk is 9 bus is 12 so in total it will be 36 pupils to travel to school

Answer:

1 Microliter = 0.001 Milliliter

Step-by-step explanation:

A unit can be used for measurement, and is commonly found in mathematics to describe length, size, etc.

Converting these units:

Therefore, for every 1 microliter it is equivalent to 0.001 Milliliter.

Rounding to the nearest tenth, the area of the hexagon is 244.3 square inches.

The area of a regular hexagon is calculated using the formula (3√3 / 2) × s^2, where s is the length of a hexagonal side. Given that we are talking about a regular hexagon, it is important to remember that all of the sides are the same length. The formula Area of the Hexagon = (3√3 / 2) × s^2, where's' is the length of the hexagonal side, can be used to determine the area of a regular hexagon when one of its sides is known.

All of the sides of the hexagon are the same length because it is a regular shape.

Therefore, each side has a length of 57 inches / 6 = 9.5 inches.

To find the area of the hexagon, we can use the formula:

Area = (3√3 / 2) × s^2

where s is  length of a side.

Substituting s = 9.5 inches, we get:

Area = (3√3 / 2) × (9.5 inches)^2

Area ≈ 244.3 square inches

Rounding to the nearest tenth, the area of the hexagon is 244.3 square inches.

Learn more about Area of Hexagon , visit:

https://brainly.com/question/16671425

#SPJ1

We can estimate that approximately 35 gas stations sell a gallon of regular gas for no more than $2.01.

What is the percentage?

A percentage is a number or ratio expressed as a fraction of 100. It is often denoted using the percent sign, "%". The percentage can be calculated by dividing the value by the total value and then multiplying the result by 100.

a) To find the percentage of gas stations that sell regular gas for less than $1.973, we need to calculate the z-score corresponding to this value:

z = (1.973 - 2.05) / 0.47 = -0.164

Using a standard normal distribution table or calculator, we can find that the percentage of gas stations selling regular gas for less than $1.973 is approximately 44.38%.

b) To find the percentage of gas stations selling regular gas for at least $2.17, we can calculate the z-score corresponding to this value:

z = (2.17 - 2.05) / 0.47 = 0.255

Using a standard normal distribution table or calculator, we can find that the percentage of gas stations selling regular gas for at least $2.17 is approximately 40.86%.

c) To find the probability that a gas station sells regular gas for less than $1.97 or greater than $2.05, we can calculate the z-scores for each value:

z1 = (1.97 - 2.05) / 0.47 = -0.164

z2 = (2.05 - 2.05) / 0.47 = 0

Using a standard normal distribution table or calculator, we can find the probabilities corresponding to each z-score:

P(z < -0.164) = 0.4364

P(z > 0) = 0.5 - 0.5(0) = 0.5

To find the probability that a gas station sells regular gas for less than $1.97 or greater than $2.05, we can add these probabilities:

P(z < -0.164 or z > 0) = P(z < -0.164) + P(z > 0) = 0.4364 + 0.5 = 0.9364

Therefore, the probability that a gas station sells regular gas for less than $1.97 or greater than $2.05 is approximately 93.64%.

d) To find the number of gas stations that sell regular gas for no more than $2.01, we can calculate the z-score corresponding to this value:

z = (2.01 - 2.05) / 0.47 = -0.085

Using a standard normal distribution table or calculator, we can find the probability corresponding to this z-score:

P(z < -0.085) = 0.4664

Multiplying this probability by the total number of gas stations (75), we can estimate the number of gas stations that sell regular gas for no more than $2.01:

0.4664 * 75 ≈ 35

Therefore, we can estimate that approximately 35 gas stations sell a gallon of regular gas for no more than $2.01.

To learn more about the percentage visit:

https://brainly.com/question/24877689

#SPJ1

Complete question:

The price of a gallon of regular gasoline at 75 What percent of gasoline gas stations sell gallons of gas stations across the state is normally regular gas for less than $1.973 distributed with & a mean of $2.05 and a standard deviation of 47. b) What percent of gas stations sell a gallon? regular gas for at least $2.17? c) What is The probability that gas station sells gallons of regular gas for less than $1.97 or greater than $2.05? About how many stations sell a gallon of regular gas for no more than $2.01?

Answer: 13

Step-by-step explanation:

Firstly, you would plug in the values that you were given for x and y into the equation.

((4 * (3) * (2)) + (2))/2 = 13

Answer:

13

Step-by-step explanation:

(4xy+y) ÷ 2

= (4x3x2+2) ÷ 2

= 26 ÷ 2

= 13

Answer:

w² + 5w - 7

b = 5

c = -7

Step-by-step explanation:

(10w + 3)(w - 1) - (2 - 3w)² (distribute)

10w² - 10w + 3w - 3 - (2 - 3w)² (combine like terms)

10w² - 7w - 3 - (2 - 3w)² (expand (2 - 3w)²)

10w² - 7w - 3 - ((2 - 3w)(2 - 3w)) (distribute)

10w² - 7w - 3 - (4 - 6w - 6w + 9w²) (combine like terms)

10w² - 7w - 3 - (4 - 12w + 9w²) (distribute the negative)

10w² - 7w - 3 - 4 + 12w - 9w² (combine like terms)

w² + 5w - 7

Therefore, b = 5 and c = -7.

The solution is, the probability of picking a boat from Virginia is 3/8

Probability can be defined as the ratio of the number of favorable outcomes to the total number of outcomes of an event.

here, we have,

The formula of probability is often given as

P = no. of favorable event/ no. of total outcome

In this case, our variables are

no. of favorable event=6

no. of total outcome =16

Let's proceed to input our values and solve

P = 6/16

  = 3/8

From the calculation above the probability of picking a boat from Virginia is 3/8

To learn more on probability click:

brainly.com/question/11234923

#SPJ1

The inequality that models the situation is given as follows:

195 ≥ s.

The four inequality symbols, along with their meaning, are presented as follows:

For this problem, we have that the speed, represented by variable s, must be of at most 195 mph, hence the inequality is given as follows:

s ≤ 195.

Meaning that 195 is greater than or equal to s, hence:

195 ≥ s.

More can be learned about inequalities at brainly.com/question/25275758

#SPJ1

The given inequality is x > (y – 2)2 – 4. To graph this inequality, we first need to plot the vertex of the parabola, which is (2, -4). This point is included in the shaded region because the inequality is "greater than" and not "greater than or equal to". Next, we need to determine whether the parabola opens upward or downward. Since the coefficient of the squared term is positive, the parabola opens upward.

Now, we need to decide which side of the parabola to shade. To do this, we can choose a test point that is not on the parabola and substitute its coordinates into the inequality. For example, the point (0,0) is a convenient test point. Substituting x=0 and y=0 into the inequality, we get:

0 > (0 – 2)2 – 4

0 > 0

Since 0 is not greater than 0, the point (0,0) is not in the shaded region. Therefore, we need to shade the side of the parabola that does not contain the point (0,0).

Among the given options, only the first one matches the graph described above. Therefore, the answer is: the graph that represents x > (y – 2)2 – 4 is the one where a parabola opens up and goes through (0, 0), has a vertex at (2, -4), and everything outside of the parabola is shaded.

Answer:

(4 × y) - 8 = <26

Step-by-step explanation:

The equation for this problem is:

(Let y = the unknown number)

Therefore, you can use (4 × y) - 8 = <26 as an inequality for this problem.