determine values that would make f(x) = 3-x/ x2 - 4 be undefined.
a.x=2,-2
b.x=-3
c.x=2,-2,3
d.x=2
e.x=3

Answers

Answer 1

The values of x that make the function undefined are x = 2 and x = -2. These values make the denominator equal to zero, causing the function to be undefined. Note that x = 3 does not make the denominator zero, so the function is defined for x = 3.

To determine the values that would make the function f(x) = (3-x) / (x^2 - 4) undefined, we need to find the values of x for which the denominator of the fraction becomes zero.

The denominator of the function is x^2 - 4. To find the values of x that make the denominator zero, we'll set x^2 - 4 equal to zero and solve for x:

x^2 - 4 = 0

We can factor this expression as a difference of squares:

(x + 2)(x - 2) = 0

Now, we'll solve for x by setting each factor equal to zero:

1) x + 2 = 0
  x = -2

2) x - 2 = 0
  x = 2

So, the values of x that make the function undefined are x = 2 and x = -2. These values make the denominator equal to zero, causing the function to be undefined. Note that x = 3 does not make the denominator zero, so the function is defined for x = 3.

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Related Questions

Janet and Artie want to play tug-of-war.
Artie pulls with 200 pounds of force while
Janet pulls with 60 pounds of force. In
order to make this a fair contest, Janet
enlists the help of her friends Trudi, Sherri,
andyBridget who pull with 20, 25, and 55
pounds respectively. Write an inequality
describing the minimum amount Janet's
fourth friend, Tommy, must pull to beat
Artie.

Answers

Answer:

Tommy would have to pull at least 40.0000000..... something to beat Artie but the closest whole number is 41 becouse it has to be over 200

Step-by-step explanation:

200 /= 60 + 20 +25 + 55 + x

200/= 160 + x - 160 both sides

40 = x

Which number goes where

Which number goes where

Answers

Answer:

Now from the top make it drop that a wapgbrbehdhdjfh I D fgddhhdhsddhhhdhdhhddddd

maria bought a swimming pool with a circumference of 24 feet. she wants to buy a cover for her pool. what is the approximate size of the cover that maria will need to buy? round your answer to the nearest hundredth.

Answers

The approximate size of the cover that Maria will need to buy is 45. 84 square feet

How to determine the value

The formula for calculating the circumference of a circle is expressed as;

Circumference = πr²

Where 'r' is the radius of the circle

Now, let's substitute the value of the circumference

24 = 2 × 3. 14 × r

r = 24/6. 28

r = 3. 82 feet

Formula for area = πr²

Substitute value of r

Area = 3. 14 × (3. 82)²

Area = 3. 14 × 14. 59

Area = 45. 84 square feet

Hence, the value is  45. 84 square feet

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Write the name of the multiplication property that is being represented 8x(9-4) = (8x9)-(8x4) pleasee help

Answers

Answer:

The distributive property

Step-by-step explanation:

Given x = 1, y = 1, w = 1, and z = 1 and this expression: what is the evaluation of the logical expression?

Answers

The evaluation of the expression is 2, if the expression is x - y + z(x + w).

What is the expression?

Expressions are defined as mathematical statements that have a minimum of two terms containing variables or numbers.

What are Arithmetic operations?

Arithmetic operations can also be specified by subtracting, dividing, and multiplying built-in functions.

Given that x = 1, y = 1, w = 1, and z = 1

We have been given expression

⇒ x - y + z(x + w)

Substitute the values of x = 1, y = 1, w = 1, and z = 1 in the above expression,

⇒ 1 - 1 + 1(1 + 1)

⇒ 0 + 1(2)

⇒ 2

Hence, the evaluation of the expression is 2.

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Your question is incomplete, probably the missing part is:

Given x = 1, y = 1, w = 1, and z = 1 and this expression x - y + z(x + w): what is the evaluation of the logical expression?

What if i want my own room but there are six kids and only three rooms then what do i do
ps: its not a math question and what about the adults

Answers

Answer:

Ya gotta share

Step-by-step explanation:

you have to share a room i know it doesn’t seem fun but you could always make your own little section and have a fort there to have some privacy

the number of bacteria in a culture is increasing according to the law of exponential growth. after 3 hours, there are 400 bacteria, and after 6 hours, there are 3,200 bacteria. write an equation that can be used to determine the number of bacteria y in the culture after t hours.

Answers

The number of bacteria y in the culture after x hours will be y = 50(2)ˣ.

What is exponential growth ?

An exponential function faster and faster after every next value of the independent variable.

According to the given question the number of bacteria in a culture is increasing according to the law of exponential growth. after 3 hours, there are 400 bacteria, and after 6 hours, there are 3,200 bacteria.

We use the exponential growth equation y = arˣ where a is the initial value and r is common ratio and x represents time.

so 400=ar^3...(i)  and 3200= ar^6...(i)

Dividing equation (ii) by equation (i) and solve for r we get r³ so r =2

substitute r into first equation 400=a(2)³

8a = 400.

a = 50.

∴ The no. of bacteria at any given time x will be.        ( t is replaced by x)

y = 50(2)ˣ.

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1. Write the ratio in simplest form. 16
chaperones to 48 students.

Answers

Answer:

1:3

That is it!

Please send help!
What is the range of this radical function?
F(x) = x-2+4

A. 2
B. -2
C. 4
D. -4

Please send help!What is the range of this radical function?F(x) = x-2+4A. 2B. -2 C. 4 D. -4

Answers

The answer is A. Pls mark brainliest
Please send help!What is the range of this radical function?F(x) = x-2+4A. 2B. -2 C. 4 D. -4

Answer:

B) -2

Step-by-step explanation:

Hope this helps. Good luck...

Question 11 (Multiple Choice Worth 5 points)
(Laws of Exponents with Integer Exponents MC)
Choose the expression that is equivalent to
9
92

Answers

Therefore, the equivalent expression to \(9^2\) is 81.

How to solve equation?

To solve an equation, you need to isolate the variable on one side of the equation, typically the left side, and simplify the other side until you are left with an expression that has only the variable you are trying to solve for.

Here are the general steps to solve an equation:

Start by simplifying both sides of the equation as much as possible. This may involve distributing or combining like terms.

Get all terms with the variable you are solving for on one side of the equation. To do this, you can add or subtract terms from both sides of the equation. For example, if you have the equation 2x + 5 = 9, you can subtract 5 from both sides to get 2x = 4.

Isolate the variable by dividing both sides of the equation by its coefficient. In the above example, you can divide both sides by 2 to get x = 2.

Check your solution by plugging it back into the original equation and verifying that both sides of the equation are equal.

\(a^m/a^n = a^{(m-n)}\)

to simplify the expression.

The expression \(9^2\) means 9 multiplied by itself 2 times:

\(9^2 = 9 * 9\)

Using the laws of exponents, we can rewrite this expression as:

\(9^2 = 9^{(1+1)} (since 2 = 1 + 1)\)

Then, using the rule that \(a^{(m+n)} = a^m * a^n\), we have:

\(9^2 = 9^1 *9^1\)

Finally, using the fact that. \(a^1 = a\) for any value of a, we get:

We can use the rule of exponents that states:

\(9^2 = 9 * 9 = 81\)

Therefore, the equivalent expression to \(9^2\) is 81

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12. The null and alternative hypotheses divide all possibilities into a. c. Two sets that overlap Two sets that may or may not overlap b. Two non-overlapping sets d. As many sets as necessary to cover all possibilities 13. Which of the following is true of the null and alternative hypotheses? a. Exactly one hypothesis must be true c. It is possible for both hypotheses to be true b. both hypotheses must be true d. It is possible for neither hypothesis to be true

Answers

In hypothesis testing, the null hypothesis (H0) and the alternative hypothesis (Ha) are used to assess the validity of a claim or statement about a population parameter.

Here are the answers to the given questions:

12. The null and alternative hypotheses divide all possibilities into:

b. Two non-overlapping sets

The null hypothesis and the alternative hypothesis are mutually exclusive and collectively exhaustive.

They represent two distinct possibilities or explanations regarding the population parameter being tested.

These sets do not overlap, meaning that an observation or outcome can only fall into one of these two categories.

13. Which of the following is true of the null and alternative hypotheses?

d. It is possible for neither hypothesis to be true

In hypothesis testing, the null hypothesis represents the default position or the status quo. It assumes that there is no significant difference or effect present in the population.

The alternative hypothesis, on the other hand, contradicts the null hypothesis and suggests that there is a significant difference or effect.

It is important to note that the null hypothesis is either rejected or failed to be rejected based on the evidence provided by the data.

The alternative hypothesis is not proven or accepted; instead, it is typically accepted by default when the null hypothesis is rejected.

Therefore, it is possible for neither hypothesis to be true if there is insufficient evidence to support the rejection of the null hypothesis. In such cases, no strong conclusion can be made based on the available evidence.

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Find each product by factoring the tens.

7 × 3, 7 × 30, and 7× 300

Answers

The products by factoring the tens are: 7 × 3 = 21, 7 × 30 = 210, and 7 × 300 = 2,100.

To find each product by factoring the tens, we need to separate the given number into its tens and ones place values, and then multiply the tens by the given factor.

7 × 3:

The number 7 has a tens place value of 0, so there are no tens to factor. To find the product, simply multiply 7 by 3:

7 × 3 = 21.

7 × 30:

The number 30 has a tens place value of 3.

To find the product, multiply 7 by 3:

7 × 3 = 21.

Since there is a tens place value of 3, we add a zero to the end:

21 + 0 = 210.

7 × 300:

The number 300 has a tens place value of 30.

To find the product, multiply 7 by 30:

7 × 30 = 210.

Since there is a tens place value of 30, we add two zeros to the end:

210 + 00 = 21,000.

Therefore, the products by factoring the tens are:

7 × 3 = 21,

7 × 30 = 210,

7 × 300 = 21,000.

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A number when divided by 5 gives 0 as remainder, that number when divided by 7 gives 0 as remainder also. What will be the remainder when that number is divided by 35?

Answers

Answer:

zero

Step-by-step explanation:

The computation of the remainder when the number would be divided by 35

Let the number be x

So if x is divided by 5 gives the remainder 0

x = 0

And, if x is divided by 7 gives the remainder 0

x = 0

So if x is divided by 35 so the remainder is also zero

find the the slope that passes through (5,14 and (8,7)

Answers

We find the slope(m) by replacing the values in the following expression:

\(m=\frac{y_2-y_1}{x_2-x_1}\)

That is:

\(m=\frac{7-14}{8-5}\Rightarrow m=-\frac{7}{3}\)

So, the slope equals -7/3.

keiko is on a game show. she will choose a box to see if she wins a prize. the odds in favor of keiko winning a prize are . find the probability of keiko winning a prize.

Answers

Therefore, the probability of Keiko winning a prize is 5/8 or 0.625.

If the odds in favor of Keiko winning a prize are 5 to 3, this means that for every 5 favorable outcomes, there are 3 unfavorable outcomes.

So, the probability of Keiko winning a prize can be calculated as:

P(win) = favorable outcomes / total outcomes

P(win) = 5 / (5 + 3)

P(win) = 5/8

The odds in favor of an event represent the ratio of the number of favorable outcomes to the number of unfavorable outcomes. To convert odds to probability, we divide the number of favorable outcomes by the total number of outcomes (favorable plus unfavorable). In this case, the probability of Keiko winning a prize is 5/8, which means that there is a 5/8 chance that she will win and a 3/8 chance that she will not win.

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ITS DUE IN 15 MINUTES PLS HELP. Challenge Schools A and B are competing in an academic contest. Correct answers earn 9 points,
Incorrect answers lose 6 points. In the final round, School A gives the same number of correct and
incorrect answers, School B gives no incorrect answers and the same number of correct answers as
School A. School A started the final round with 198 points, School B started with 72. The game ends
with the two schools tied. Let x represent the number of correct answers given by School A in the final
round. Write an equation that models the outcome of the contest. Then find the number of answers
that each school got correct in the final round,

Answers

Answer:

School A gave 12 correct and 12 incorrect answers. School B gave 12 correct answers and the competition was tied.

Step-by-step explanation:

School A points = 174

School B points = 102

Every correct answer is awarded 10 points and every incorrect answer reduces 6 points.

Let x be the number of correct answer given by school A and thus x is the number of  incorrect answer given by school A. The, school B also gives x number of correct answers

Answer:

uhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhh

Step-by-step explanation:

Q5) A community health association is interested in estimating the average number of maternity days women stay in the local hospital. A random sample is taken of 36 women who had babies in the hospital during the past year. The following numbers of maternity days each woman was in the hospital are rounded to the nearest day.
1 3 4 3 2 5 3 1 4 3
4 2 3 5 3 2 4 3 2 2
1 6 3 4 3 3 5 2 3 4
3 5 4 3 5 1
Use these data and a population standard deviation of 1.15 to construct a 98% confidence interval to estimate the average maternity stay in the hospital for all women who have babies in this hospital. What is the higher value of the interval? (Round the intermediate values to 3 decimal places, e.g. 25.316.
Round your answers to 3 decimal places, e.g. 25.316.)

Answers

A community health association is interested in estimating the average number of maternity days women stay in the local hospital. A random sample is taken of 36 women who had babies in the hospital during the past year. Considering all the given values, the higher value of the interval is 3.870.

To construct a 98% confidence interval to estimate the average maternity stay in the hospital for all women who have babies in this hospital, we can use the following formula:
Confidence interval = sample mean +/- (t-value * population standard deviation / \(\sqrt{(sample size)}\))
where the t-value is obtained from a t-distribution table for a 98% confidence level and 35 degrees of freedom (since we have a sample size of 36).
First, we need to calculate the sample mean:
Sample mean = (1+3+4+3+2+5+3+1+4+3+4+2+3+5+3+2+4+3+2+2+1+6+3+4+3+3+5+2+3+4+3+5+4+3+5+1) / 36 = 3.306
Next, we can find the t-value for a 98% confidence level and 35 degrees of freedom, which is approximately 2.429.
Plugging in the values, we get:
Confidence interval = 3.306 +/- (2.429 * 1.15 / \(\sqrt{(36)}\)) = (3.306 +/- 0.564) = (2.742, 3.870)
Therefore, the higher value of the interval is 3.870.

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There is a greater correlation between the IQ scores of identical twins raised together than for fraternal twins raised together. What conclusion can be drawn from this data

Answers

Answer:

This correlation simply means that, in every twin whether identical or fraternal twins, there is a relation between their IQ scores and when they are raised together.

Regarding to the test carried out, it showed that, when an identical twin is raised together, their IQ score tends to be higher in direct comparison with a fraternal twin that was raised together. That is, if the fraternal twin IQ is 100, then, the identical twin IQ is going to be above 100 (probably around 120)

Step-by-step explanation:

A collection of individuals who are committed to working together to achieve a common goal describes a?

Answers

A collection of individuals who are committed to working together to achieve a common goal describes a team.

A collection of individuals who are committed to working together to achieve a common goal forms a team. A team typically consists of individuals with complementary skills, knowledge, and expertise who come together to collaborate and combine their efforts towards a shared objective.

Team members work together in a coordinated manner, leveraging their individual strengths and abilities, to accomplish tasks, solve problems, make decisions, and ultimately achieve the team's desired outcome or goal. The common goal serves as a unifying force that guides the team's actions and motivates its members to work collectively.

Effective teams often exhibit characteristics such as clear communication, trust, mutual support, cooperation, and shared accountability. They recognize the importance of collaboration and synergy, understanding that by working together, they can achieve more than what each individual could accomplish alone.

Teams can exist in various settings, including workplaces, sports teams, community organizations, and academic institutions. They can range from small, tightly knit groups to large, multidisciplinary teams, depending on the nature and complexity of the goal they are pursuing.

In summary, a team is a cohesive group of individuals who come together with a shared commitment to collaborate, combine their skills, and work towards a common goal, utilizing their collective efforts and resources to achieve success.

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A hashing algorithm is a routine that converts a primary key value into a relative record number. T/F

Answers

True. A hashing algorithm is a mathematical routine used to generate a hash value from a primary key value.

A relative record number that may be used to retrieve the required record in a data structure is created using this hash value.

In order to facilitate quick access to the data, the hashing algorithm makes sure that the same hash value is generated for every primary key. How quickly the requested record can be found depends on how effective the hashing method is.

Also, it must be safe enough to prevent two main key values from producing the same hash value, as doing so might result in accessing the wrong records.

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To gather information about the elk population, scientists marked 30 elk. Later, they flew over the area and counted 150 elk, 18 of which were marked. To the nearest whole number, what is the best estimate of the elk population

Answers

The best estimate of the elk population, to the nearest whole number, is 250.

To estimate the elk population, we can use the mark-recapture method. This method assumes that the ratio of marked individuals to the total population is equal to the ratio of marked individuals recaptured to the total number of individuals captured in the second sample.

Let's denote the total elk population as "P" and the number of marked elk in the first sample as "M1". We also know the number of marked elk recaptured in the second sample, which is "M2", and the total number of elk counted in the second sample, which is "N2".

According to the mark-recapture method, we can set up the following equation:

M1 / P = M2 / N2

Plugging in the given values, we have:

30 / P = 18 / 150

To solve for P, we can cross-multiply and then divide:

30 * 150 = 18 * P

4500 = 18P

Dividing both sides by 18:

P = 4500 / 18

P ≈ 250

Therefore, the best estimate of the elk population, to the nearest whole number, is 250.

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To gather information about the elk population, scientists marked 30 elk. Later, they flew over the area and counted 150 elk, 18 of which were marked. To the nearest whole number, what is the best estimate of the elk population ??

i needd helppp asap

i needd helppp asap

Answers

Answer:

70, 110, 110, 70

Step-by-step explanation:

top left- 70, top right-110, bottom left-110, bottom right-70

what does x equal in the equation \(\frac{3}{5}x- \frac{1}{4}x=7\\\)

Answers

Answer:

\( x = 20 \)

Step-by-step explanation:

\( \frac{3}{5}x - \frac{1}{4}x = 7 \)

The LCD is 20, so multiply both sides of the equation by 20.

\( 20(\frac{3}{5}x - \frac{1}{4}x) = 20 \times 7 \)

\( 4 \times 3x - 5 \times x = 140 \)

\( 12x - 5x = 140 \)

\( 7x = 140 \)

\( x = 20 \)

a chili recipe calls for ground beef, beans, green pepper, onion, chili powder, crushed tomatoes, salt, and pepper. you have lost the directions about the order in which to add the ingredients, so you decide to add them in a random order. what is the probability that the first ingredient you add is either ground beef or onion?

Answers

The probability of adding either ground beef or onion as the first ingredient  0.25 or 25%.

If there are a total of 8 ingredients and 2 of them are either ground beef or onion, then the probability would be:

Probability = (Number of desired outcomes) / (Total number of possible outcomes)

           = 2 / 8

           = 1 / 4

           = 0.25

So, the probability of adding either ground beef or onion as the first ingredient is 0.25 or 25%.

In this case, we have a total of 8 ingredients, out of which 2 are either ground beef or onion. When selecting the first ingredient, there are 8 possible outcomes. Since we want to calculate the probability of adding either ground beef or onion as the first ingredient, we count the number of desired outcomes, which is 2 (either ground beef or onion). Dividing the number of desired outcomes by the total number of possible outcomes gives us the probability.

The probability of adding either ground beef or onion as the first ingredient is 0.25 or 25%. This means that there is a 25% chance that either ground beef or onion will be the first ingredient added, assuming the ingredients are added randomly without any specific order.

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Express the function f(x)=g(x)^h(x) in terms of the natural logarithmic and natural exponential functions​

Answers

As a result, we have written f(x) = e(h(x) * ln(g(x)) as the function f(x) = equation g(x)h(x) stated in terms of the natural logarithmic and exponential functions.

What is equation?

Using the equals symbol (=) to indicate equivalence, a math equation links two statements. Algebraic equations prove the equality of two mathematical expressions by a mathematical assertion. The equal sign, for example, provides a gap between the numbers 3x + 5 and 14 in the equation 3x + 5 = 14. You can use a mathematical formula to understand the connection between the two phrases that are written on opposite sides of a letter. Most of the time, the logo and the particular software match. e.g., 2x - 4 = 2 is an example.

The procedures listed below can be used to translate the function f(x) = g(x)h(x) into terms of the natural logarithmic and natural exponential functions:

Consider both sides' natural logarithms:

"ln(f(x)" equals "ln(g(x)h(x)"

Simplify the right side using the logarithmic formula ln(ab) = b * ln(a):

h(x) * ln(g(x) = ln(f(x))

Use the natural exponential function ex to exponentiate both sides:

The formula e(ln(f(x)) = e(h(x) * ln(g(x))

Using the property of the inverse function, simplify the left-hand side:

f(x) is equal to e(h(x) * ln(g(x)))

As a result, we have written f(x) = e(h(x) * ln(g(x)) as the function f(x) = g(x)h(x) stated in terms of the natural logarithmic and exponential functions.

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can you help pleaseeee

Answers

Answer:

he is 1,305 feet below sea level

Step-by-step explanation:

805 + 500 = 1305 ft

he is 1,305 feet below sea level

Help! Which choice is the most efficient first step to solve this set of equations?

Help! Which choice is the most efficient first step to solve this set of equations?

Answers

Answer:

Substitute 3x - 5 for y in the second equation.

Step-by-step explanation:

Generally, to solve the system of linear equations of x and y, the first step would be trying to eliminate x (or y).

Then turn the system into the equation of only y (or x).

Next, try to solve for y (or x).

Then substitute the solved y (or x) into the original system to work out x (or y).

**********

3 options (1 addition, 2 subtractions) do not eliminate x or y (x and y still exist after manipulation).

=> Remaining option relating substitution would be a reasonable choice.

Can you help me this the workings and the answer?
Thanks a bunch!!

Can you help me this the workings and the answer?Thanks a bunch!!

Answers

Answer:

(multiply both sides by 6)

6×\(\frac{4h+4}{6}\)-10×6=-2h×6

(simplify)

4h+4-60=-12h

4h-56=-12h

(move constant to the right side and variable to the left)

4h+12h=56

16h=56

(divide both sides by 16)

h=7/2

Please explain how to write this in the horizontal model and the 3 other questions. Thank you! Sample Problem (remember the real"problem will be similar but could be presented differently Lau and LauLLC(LLLLC)builds swimming builds custom swimming pools in Boise,Idaho.LL LLC uses material reguisition forms and direct labor time tickets to trace direct materials and direct labor costs to specific jobs. Manufacturing overhead is applied to all jobs based on a percent of direct labor costs At the beginning of the second month of operations, the company had the following balances: oRaw Materials $75,000 Work in ProcessWIP) $140,000 Finished Goods -0- During the second month of operations (June 201XX),the company recorded the following transactions. aPurchased S225.000 in raw materials bssued the S150.000 of raw materials to production.of which S125.000 were direct materials cRecorded the following labor costspaid in cash) S60.000 in direct labor S40,000 in construction supervisorssalaries S26,000 in administrative salaries dRecorded the following actual manufacturing overhead costs oConstruction insurance 10,000 oConstruction equipment depreciation S55,000 Pool permits and inspections 9,000 eRecorded the $18.000 in selling and administrative costs. fApplied manufacturing overhead to jobs using 175%of direct labor costs gCompleted 16 pools at a total cost of S352,000.One1of these pools costingS22,000 is still waiting for final inspection and customer approval so the sale has not been finalized. hRealized sales revenue of S525.000 on the sale of the 15 pools that were sold Closed the Manufacturing Overhead account balance to Cost of Goods Sold. Required Questions: 1Draw the following t-accounts or colurmns and enter their beginning balances:Raw Materials WIP.Finished Goods,MOHCOGS if you find it helpful to draw SG&A Sales Revenue and Cash that is okay but not required). 2Record the transactions listed above and calculate the ending balances for all accounts 3)How much is manufacturing overhead over or underapplied? 4What isthe adiusted ending balance for CostofGoods Sold

Answers

(3) Add: Under applied overhead 34,000

(4) Adjusted cost of goods sold 364,000

1 and 2 RAW MATERIAL INVENTORY

Beginning balance 75,000

a 225,000 150,000 b, Ending Balance 150,000

WORK IN PROGRESS INVENTORY

Beginning balance 140,000

b 125,000 352,000 g

c 60,000

f 105,000

j Ending Balance 78,000

FINISHED GOODS INVENTORY

Beginning balance -

g 352,000 330,000 h

Ending Balance 22,000

FACTORY OVERHEAD

b 25,000

c 40,000 105,000 f

d 74,000

Ending Balance 34,000

COST OF GOODS SOLD

h 330,000

Ending Balance 330,000

Factory overhead applied on the basis of direct labor cost .

Hence applied overhead = 60,000 x 175% = $105,000Step: 2

3)

Computation of under /(over) applied OH

Actual OH($) Applied OH ($) Under /(over) applied OH ($)

139,000 105,000 34,000

Actual manufacturing overhead:

$

Indirect material 25,000

Indirect Labour 40,000

Other manufacturing overhead 74,000

139,000

4)

Cost of goods sold (Unadjusted) 330,000

Add: Under applied overhead 34,000

Adjusted cost of goods sold 364,000

Actal manufacturing overhead is more than applied overhead,it means factory overhead under applied and it will be added in unadjusted cost of goods sold to ascertain adjused cost of goods sold.

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Write an equation in slope-intercept form for each line described.
passes through (6,2) , parallel to y=-2/3x+1 .

Answers

The equation in slope-intercept form is y = -2/3x + 6

Given,

Points (x, y) = (6, 2)

Parallel to y = -2/3x + 1

Now,

Recall that a parallel line to the one given has to have the same slope. The slope of the line given is "-2/3" (the coefficient that accompanies "x").

Therefore the equation of a parallel line has to be of the form:

y = -2/3x + b

2 = -2/3(6) + b

2 = -12/3 + b

2 = -4 + b

b = 6

So the equation now becomes:

y = -2/3x + 6

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