Please help!!! please! which letter represent the opposite of 1 1/3 on the number line below​

Please Help!!! Please! Which Letter Represent The Opposite Of 1 1/3 On The Number Line Below

Answers

Answer 1

Answer:

K

Step-by-step explanation:

K represents negative 1 ⅓.

to find the opposite of a number you must look to see if its negative. if its negative then its opposite would be a positive. If its a positive then its opposite would be a negative. Opposites are always the number in opposite signs like 7 and -7.

I found K to be 1⅓ because there are 2 spaces in between numbers so it would be ¹ ⅓ ⅔ 1. so I went to the number 1 and went one space back/where K because I know it would be 1 ⅓


Related Questions

A two-digit locker combination is made up of non-zero digits and no digit is repeated in any combination. Event A = the first digit is 4 Event B = the second digit is odd If a combination is chosen at random with each possible locker combination being equally likely, what is P(A and B) expressed in simplest form?
A.5/8
B.4/81
C.1/18
D.5/72

Answers

Answer:

D. 5/72

Step-by-step explanation:

The non-zero digits are 1 through 9.

There are 9 different non-zero digits.

p(A) = 1/9

There are 5 odd digits.

p(B) = 5/8

p(A and B) = p(A) × p(B) = 1/9 × 5/8 = 5/72

I think the answer is

A: 1/18

1376x13 please solve this equation and show work

Answers

The value of 1376 * 13 is 17888

How to solve the expression?

The expression is given as:

1376 * 13

Express 1376 as 1300 + 76

(1300 + 76) * 13

Expand

1300 * 13 + 76 * 13

Evaluate the product

16900 + 988

Evaluate the sum

17888

Hence, the value of 1376 * 13 is 17888

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prove that: 1-sin^2x cos*2x/cos^2x = tan^2x + cos^2x

Answers

LHS = (1-sin² cos²)/(cos²)

= (sin² + cos² - sin² cos²)/(cos²)

= (sin/cos)² + 1 - sin²

= tan² + cos²

= RHS

Write in standard form: x² - 10x + y² - 4y = -28

Answers

Answer:

(x - 5) ^2 + (y -2)^2 = 1

Step-by-step explanation:

This is for a circle.

We need to complete the square

(x^2 -10x      ) + ( y^2 -4y       )  = -28

(x^2 - 10x +25) + (y^2 - 4y 2y) = -28 + 25 + 4

(x-5)^2 + (y-2)^2 = 1

The center of this circle would be (5,2)  with a radius of 1.

What is the measure of angle A?


250

140

70

110

Answers

Using the angle of intersecting tangents theorem, the measure of angle A is: C. 70°

What is the Angle of Intersecting Tangents Theorem?

Based on the angle of intersecting tangents theorem, measure of angle A = 1/2(the positive difference of the intercepted arcs).

Measure of one of the intercepted arcs = 250°

The second intercepted arc = 360 - 250 = 110°

Positive difference of the intercepted arcs = 250 - 110 = 140°

Measure of angle A = 1/2(140)

Measure of angle A = 70°

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Answer:

the answer is 70. hope this helps <3

Step-by-step explanation:

PLEASE HELP 80 POINTS!!!!!!

Answers

The sequence pattern for 3¹/₃, 3¹/₄, 3¹/₅, ...... is; f(n) = 3 + 1/(2 + n)

How to find the sequence pattern?

We are given the sequence;

3¹/₃, 3¹/₄, 3¹/₅, ......

Now, we can see that;

First term is 3¹/₃.

However, for the second term, 1 has been added to the denominator.

Thus, we can suggest that the sequence pattern here is;

f(n) = 3 + 1/(2 + n)

where n is the nth term.

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) Consider the following probability density function of the random variable X. f(x) = k(2x + 3x2 ), 0 ≤ x ≤ 2. (i) Determine the value of the constant k.

Answers

I assume [tex]f(x)=0[/tex] otherwise. If [tex]f(x)[/tex] is indeed a proper PDF, then its integral over the support of [tex]X[/tex] is 1.

[tex]\displaystyle \int_{-\infty}^\infty f(x) \, dx = k \int_0^2 (2x + 3x^2) \, dx = 1[/tex]

Compute the integral.

[tex]\displaystyle \int_0^2 (2x + 3x^2) \, dx = (x^2 + x^3)\bigg|_{x=0}^{x=2} = (2^2 + 2^3) - (0^2 + 0^3) = 12[/tex]

Then

[tex]12k = 1 \implies \boxed{k=\dfrac1{12}}[/tex]

60 POINTS PLEASE HELP NOW

Answers

The pre-image of the triangle has the following vertices: A'(x, y) = (4, 4/3), B'(x, y) = (- 2, 0) and C'(x, y) = (1, 3).

How to find the pre-image of the triangle

In this problem we must use a transformation rule known as dilation, a kind of rigid transformation, to derive the preimage of the triangle, whose formula is:

P'(x, y) = O(x, y) + k · [P(x, y) - O(x, y)]     (1)

Now we proceed to find the preimage of the triangle: O(x, y) = (0, 0), k = 2/3

Point A'

A'(x, y) = (0, 0) + (2/3) · [(6, 2) - (0, 0)]

A'(x, y) = (4, 4/3)

Point B'

B'(x, y) = (0, 0) + (2/3) · [(- 3, 0) - (0, 0)]

B'(x, y) = (- 2, 0)

Point C'

C'(x, y) = (0, 0) + (2/3) · [(1.5, 4.5) - (0, 0)]

C'(x, y) = (1, 3)

The pre-image of the triangle has the following vertices: A'(x, y) = (4, 4/3), B'(x, y) = (- 2, 0) and C'(x, y) = (1, 3).

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Find possible zeroes
f(x)=3x^6+4x^3-2x^2+4

Answers

The possible zeros of f(x) = 3x^6 + 4x^3 -2x^2 + 4 are [tex]\mathbf{\pm\{1,2,4,\frac 13, \frac 23,\frac{4}{3}}\}[/tex]

How to determine the possible zeros?

The function is given as:

f(x) = 3x^6 + 4x^3 -2x^2 + 4

The leading coefficient of the function is:

p = 3

The constant term is

q = 4

Take the factors of the above terms

p = 1 and 3

q = 1, 2 and 4

The possible zeros are then calculated as:

[tex]\mathbf{Zeros = \pm\frac{Factors\ of\ q}{Factors\ of\ p}}[/tex]

So, we have:

[tex]\mathbf{Zeros = \pm\frac{1,2,4}{1,3}}[/tex]

Expand

[tex]\mathbf{Zeros = \pm\frac{1,2,4}{1},\pm\frac{1,2,4}{3}}[/tex]

Solve

[tex]\mathbf{Zeros = \pm\{1,2,4,\frac 13, \frac 23,\frac{4}{3}}\}[/tex]

Hence, the possible zeros of f(x) = 3x^6 + 4x^3 -2x^2 + 4 are [tex]\mathbf{\pm\{1,2,4,\frac 13, \frac 23,\frac{4}{3}}\}[/tex]

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Nicole sold 15 tickets to the school play and Andrew sold 24 tickets. what is the ratio of the number of tickets Nicole sold to the number of tickets Andrew sold

Answers

Answer:

5:8

Step-by-step explanation:

Nichole sold 15 while Andrew sold 24, so the ratio is 15:24. Simplify the ratio by dividing both sides by 3, and we’ll get 5:8.

Part A Your presentation should make a convincing argument that human activity is the major cause of climate change. Your presentation should answer some of these questions: What is climate? How is Earth’s climate changing? What are the natural and human factors that affect climate? How do scientists know that human activity is the major force behind climate change? What evidence do scientists have that climate is changing? Write down two additional questions you have about climate change that will help you make this argument in your presentation. 12pt

Answers

Climate is the long-term weather pattern that can be seen in an area over a period of years.

How to explain the climate?

Earth’s climate changing as the Earth's atmosphere heats up, it collects, retains, and drops more water, thereby changing weather patterns and making wet areas wetter and dry areas drier.

The factors that affect climate includ deforestation, desertification, urbanization, etc.

Scientists know that recent climate change is largely caused by human activities from an understanding of basic physics by comparing observations with models, and then fingerprinting the detailed patterns of climate change caused by different human and natural influences

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Emma has money in two savings accounts. One rate is 6% and the other is 14%. If she has $950 more in the 14% account and the total interest is $342, how much is invested in each savings account?

Answers

$1045 was invested at the interest rate 6% whereas $1,995 was invested at 14%

How is interest computed?

Interest is determined as the amount invested multiplied by the interest rate.

Let Y be the amount invested at 6%

Interest=Y*6%

Interest=0.06Y

The amount invested at 14%, which is $950 more , is Y+950

Interest=(Y+950)*14%

Interest=0.14Y+133

Total interest =0.06Y+0.14Y+133

Note that total interest is 342

342=0.06Y+0.14Y+133

342=0.20Y+133

342-133=0.20Y

209=0.20Y

Y=209/0.20

Y=$1,045(amount invested at 6%)

Amount invested at 14%=$1,045+$950

Amount invested at 14%=$1,995

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How do i find the slope of these points? (−4, 3) and (2, 9)

Answers

Answer:

Divide the difference of the y-coordinates of 2 points on a line by the difference of the x-coordinates of those same 2 points.

Step-by-step explanation:

Answer:

The value of the slope b/n these two pts. will be 1.

Step-by-step explanation:

Greetings !

For finding slope from two points of a line (x₁, y₁) and (x₂, y₂), we use the formula (y₂ - y₁) / (x₂ - x₁).

Thus, m=(y₂ - y₁) / (x₂ - x₁)

m=(9-3)/(2-(-4))m=6/6m=1.

Suppose f(x)=2^x. What is of g(x)=f(3x)?

Answers

Answer:

All you need to do is suppose x = 3x :

[tex] \tt \: g(x) = \boxed{ \tt{2^{3x} }} [/tex]

------ Happy LearninG <3 ----

Find the distance between points H(8, 2) and K(6, 10). Round your answer to the nearest tenth

Answers

Step-by-step explanation:

when you mark such points on a coordinate grid, and mark also the coordinate differences in x and y direction as soft lines, you notice that these coordinate difference lines and the direct connection between the 2 points create a right-angled triangle.

so, Pythagoras applies :

c² = a² + b²

with c being the Hypotenuse (the baseline opposite of the 90° angle, which is the direct connection between the 2 points). a and b are the legs (coordinate differences).

so,

distance² = (8 - 6)² + (2 - 10)² = 2² + (-8)² = 4 + 64 = 68

distance = sqrt(68) = 8.246211251... ≈ 8.2

To support the tree a guy wire 8.1 m long is attached to the trunk and then secured in the ground find the height of the leafty part of the tree to the nearest tenth

Answers

The height of the leafy part will be 6m.

How to calculate the height?

Other part of the question:

At the same time, a vertical pole 3m high vast s shadow 4m long.

Based on the information given, the height will be:

h/8 = 3/4

h = (3 × 8)/4

h = 6

Therefore, the height is 6m.

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Zaidah plans a raised flower bed 2 ft high by 15 ft wide by 24 ft long. The mulch, soll, and peat mixture used to fill the raised bed costs $12.75 per cubic yard. What is the total cost (in dollars) of the
Ingredients used to fill the raised garden?

Answers

[tex] {\qquad\qquad\huge\underline{{\sf Answer}}} [/tex]

Let's get started ~

[tex]\qquad \sf  \dashrightarrow \: volume = length \sdot width \sdot height[/tex]

[tex]\qquad \sf  \dashrightarrow \: v = (24) \sdot(15) \sdot(2)[/tex]

[tex]\qquad \sf  \dashrightarrow \: v = 720 \: \: ft {}^{3} [/tex]

now, we know :

[tex]\qquad \sf  \dashrightarrow \: 1 \: \: yard {}^{3} = 27 \: \: ft {}^{3} [/tex]

[tex]\qquad \sf  \dashrightarrow \: 1 \: \: ft {}^{3} = \cfrac{1}{27} \: \: yard {}^{3} [/tex]

[tex]\qquad \sf  \dashrightarrow \: 720 \: \: ft {}^{3} = \cfrac{1}{27} \times 720 \: \: yard {}^{3} [/tex]

[tex]\qquad \sf  \approx\: 26.67 \: \: yard {}^{3} [/tex]

now, total cost of ingredients used is :

[tex]\qquad \sf  \dashrightarrow \: 26.67 \times 12.75[/tex]

[tex]\qquad \sf  \dashrightarrow \: 340.04[/tex]

so, total cost is $ 340.04

Trail A is 6 3/4 miles long. Trail B is 8 1/2 miles long. How many miles longer is Trail B than Trail A

Answers

Given the length of both trail, Trail B is 7/4 miles longer than Trail B.

How many miles longer is Trail B than Trail A?

Given that;

Length of Trail A = 6 3/4 = [ (6×4 + 3 )/4 = 27/4 miles Length of Trail B = 8 1/2 =  [ (8×2 + 1 )/4 = 17/2 miles

To determine how many miles longer is Trail B more than Trail A, we subtract the length of tail A from Tail B.

Trail B - Trail A

17/2 - 27/4

17/2 is the same as; 34/4

34/4 - 27/4

We combine the numerators over common denominator

(34 - 27 )/4

7/4 miles

Given the length of both trail, Trail B is 7/4 miles longer than Trail B.

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Please answer the question below . Help is greatly appreciated!

Answers

Using proportions, it is found that 40 ml of water have to be added to make the ratio of oil to water of 1:3.

What is a proportion?

A proportion is a fraction of a total amount, and the measures are related using a rule of three.

The jar contains 100 ml of oil and water in the ratio 1:4, hence:

The amount of oil is: 1/5 x 100 = 20 ml.The amount of water is: 4/5 x 100 = 80 ml.

Oil was added to make the ratio 1/2, hence:

[tex]\frac{20 + x}{100 + x} = \frac{1}[3}[/tex]

3(20 + x) = 100 + x

60 + 3x = 100 + x

x = 20.

Then there are 40 ml of oil and 80 ml of water, for a total of 120 ml. Now we want a ratio of 1:3, that is, 3/4 of the mixture being water, hence:

[tex]\frac{80 + x}{120 + x} = \frac{3}{4}[/tex]

4(80 + x) = 3(120 + x)

320 + 4x = 360 + 3x

x = 40

40 ml of water have to be added to make the ratio of oil to water of 1:3.

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find x and y

pls help

Answers

Answer:

Step-by-step explanation:

no idea tbh

x is 40 degrees

y is 40 degrees

Hope this helps!

A restaurant hands out a scratch-off game ticket with prizes being worth
purchases at the restaurant. The back of the ticket lists the odds of winning
each dollar value: 0.4 for $10, 0.2 for $25, 0.01 for $30, and 0.004 for $75.
What are the odds that the ticket is worth at least $25?

Answers

Using the probability concept, the odds that the ticket is worth at least $25 are of 1:3.67.

What is a probability?

A probability is given by the number of desired outcomes divided by the number of total outcomes.

Considering the probability, the odd is given by:

o = probability:(1 - probability)

From the given table, the probability that the ticket is worth at least $25 is:

p = 0.2 + 0.01 + 0.004 = 0.214.

Hence the odd is:

o = 0.214/(1 - 0.214) = 0.214/0.786 = 1:3.67.

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define cultural identity in your own words

Answers

Cultural identity component of an individual which makes him identifiable with a given group. For example, British Asian is a cultural identity.

What is the Meaning of Cultural Identity?

Cultural identity can be described as a component of an individual which makes him identifiable with a given group that share the same characteristics.

Examples of cultural identities may include the following:

ReligionEthnic backgroundTraditionNationalityFood

I can state that I am a British Asian. British Asian is my cultural identity.

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In a class there are 15 boys and 15 girls 5/6 of the children have brown hair if someone is chosen at random what is the probability that they will not have brown hair

Answers

Probability someone chosen at random will not have brown hair = 1/6

Probability of two variables

The number of girls = 15

The number of boys = 15

The total number of children = 15 + 15 = 30

Probability that someone chosen at random will have a brown hair, P(Brown hair) = 5/6

P(Brown hair) + P(Not Brown hair) = 1

5/6  +  P(Not brown hair) = 1

P(not brown hair) = 1 - 5/6

P(not brown hair) = 1/6

Therefore, if someone is chosen at random, probability that they will not have brown hair = 1/6

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Si: x;y∈ℜ y f={(2;8),(x;x+1),(2;x2−2x),(−2;9),(3;9),(y;y−1),(3;y+4)} es una función, calcúlese x y y, dando como respuesta la representación de la función.

Answers

La relación dada es una función si x = 4 y y = - 1. La representación de la función es f= {(2, 8), (4, 5), (- 2, 9), (3, 9), (5, 4)}.

¿Que valores tienen dos variables reales tal que una relación dada es una función?

Las relaciones están formadas por dos conjuntos relacionados entre sí, un conjunto de entrada denominado dominio y uno de salida denominado rango. Una función es una relación cuyos elementos del dominio solo están asociados a un solo valor del rango.

Bajo estas consideraciones, tenemos que (2, 8) = (2, x² - 2 · x) y (3, 9) = (3, y + 4), cuyas ecuaciones algebraicas se resuelven a continuación:

x² - 2 · x = 8     (1)

y + 4 = 9     (2)

By (1):

x² - 2 · x - 8 = 0

(x - 4) · (x + 2) = 0

x = 4 ∨ x = - 2

By (2):

y = 5

Si sabemos que x = 4 y y = - 1, entonces la representación de la función es:

f= {(2, 8), (4, 5), (- 2, 9), (3, 9), (5, 4)}

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the volume formula for a cylinder is v=nr^h. isolate for the variable r in this formula .

Answers

Answer:

[tex]r=\sqrt{\frac{V}{\pi h}}[/tex]

Step-by-step explanation:

[tex]V = \pi r^{2} h \\ \\ r^{2} =\frac{V}{\pi h} \\ \\ r=\sqrt{\frac{V}{\pi h}}[/tex]

Suppose that X is a random variable that has a binomial uncertainty distribution with parameters n = 10 and π = 0.4. Calculate the numerical value of the probability that X = 6. What are the numerical values of the mean and standard deviation of the uncertainty distribution?

Answers

The numerical values of the mean and standard deviation are 4 and 1.55, respectively

The numerical value of the probability that x = 6.

The given parameters are:

n = 10

π = 0.4

The probability is then calculated as:

[tex]P(x) = ^nC_x * \pi^x *(1-\pi)^{n-x}[/tex]

So, we have:

[tex]P(6) = ^{10}C_6 * 0.4^6 *(1-0.4)^4[/tex]

Apply the combination formula

[tex]P(6) = \frac{10!}{6!4!} * 0.4^6 *0.6^4[/tex]

So, we have:

[tex]P(6) = 210 * 0.4^6 *0.6^4[/tex]

Evaluate

P(6) = 0.1115

Hence, the numerical value of the probability that x = 6 is 0.1115

The numerical values of the mean and standard deviation

The mean value is:

[tex]\bar x = n\pi[/tex]

This gives

[tex]\bar x = 10 * 0.4[/tex]

[tex]\bar x = 4[/tex]

The standard deviation value is:

[tex]\sigma = \sqrt{\bar x(1-\pi)[/tex]

This gives

[tex]\sigma = \sqrt{4(1-0.4)[/tex]

[tex]\sigma = 1.55[/tex]

Hence, the numerical values of the mean and standard deviation are 4 and 1.55, respectively

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How many proportional relationships are shown in the coordinate plane below/

Answers

Answer:

I wish I could I didnt do good with this in math

If x=y= 2z and x*y*z = 500, then x equals?​

Answers

Answer:

x is equal to 5

Step-by-step explanation:

When y=x and z=1/2x

xyz= 500
x(x)(1/2x)= 500
1/2x^3=500
x^3= 1000
x= 10

How to check your answer?

xyz= 500
(10)(10)(10/2)= 500
500= 500

Both LHS and RHS is equal therefore this answer is correct. x=10.

Hope it helps : )

The medical assistant weighs patients each month. Mrs. Smith weighed 120 pounds last month.
Over the last 2 months she gained 1½ and - pounds. What is Mrs. Smith's current weight?

Answers

13) 120 + 1.5 + 0.25 = 121.75 pounds

14) 4 - 1.5 = 2.5 pints

15) (2.25)(32)= $72

13. Mrs. Smith's current weight is 121.75 pounds.

14. The students should consume an additional 2.5 pints of water.

15. The nurse's overtime earnings amount to $72.00.

Given are words problems based on mixed numbers:

13. To find Mrs. Smith's current weight, we need to add the weight gained over the last two months to her weight last month.

Weight gained in the first month: 1 1/2 pounds

Weight gained in the second month: 1/4 pounds

Total weight gained over the last two months: 1 1/2 + 1/4 = 1 3/4 pounds

Now, to find Mrs. Smith's current weight, we add the total weight gained to her weight last month:

Current weight = Weight last month + Total weight gained

Current weight = 120 pounds + 1 3/4 pounds

Hence, Mrs. Smith's current weight is 121.75 pounds.

14. To calculate the additional water the students should consume to meet the school nurse's recommendation of at least 4 pints daily, we need to find the difference between the recommended amount and the average amount the students currently drink.

The recommended amount is 4 pints, and the average amount the students currently drink is 1 1/2 pints, which can be written as 1.5 pints.

Additional water needed = Recommended amount - Current average amount

Additional water needed = 4 pints - 1.5 pints

Additional water needed = 2.5 pints

Therefore, the students should consume an additional 2.5 pints of water daily to meet the school nurse's recommendation.

15. To calculate the nurse's overtime earnings, you can use the formula:

Overtime Earnings = Overtime Hours × Overtime Pay Rate

First, let's convert the mixed number of overtime hours into an improper fraction:

2 1/4 hours = 2 + 1/4 = 9/4 hours

Now, we can calculate her overtime earnings:

Overtime Hours = 9/4 hours

Overtime Pay Rate = $32.00/hour

Overtime Earnings = (9/4) hours × $32.00/hour

To simplify the calculation, you can convert the fraction to a decimal:

Overtime Earnings = (9/4) hours × $32.00/hour

Overtime Earnings = 2.25 hours × $32.00/hour

Overtime Earnings = $72.00

So, the nurse's overtime earnings amount to $72.00.

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Accounts Receivable has a balance of $645,000; Allowance for Doubtful Accounts has a credit balance of $6,000; and sales for the year total $2,900,000. Bad debt expense is estimated at 1/4 of 1% of sales.

Answers

1. The amount of the adjusting entry for Uncollectible Accounts is $1,250.

2. The adjusted balances of Accounts Receivable Allowance for Doubtful Accounts Bad Debt Expense are:

Accounts Receivable = $3,545,000

Allowance for Doubtful = $7,250

Accounts Bad Debt Expense = $1,250

3. The net realizable value of the accounts receivable is $3,537.750 ($3,545,000 - $7,250).

Data and Calculations:

                               Accounts Receivable    Allowance for Doubtful Accounts

Beginning balance     $645,000 DR               $6,000 CR

Sales                          2,900,000

Bad Debt Estimate = $7,250 ($2,900,000 x 0.0025)

Ending balance      $3,545,000                     $7,250 CR

Bad Debts Expense = $1,250 ($7,250 - $6,000)

Thus, the net realizable value of the accounts receivable shows the amount that the company expects to recover from customers after allowing for doubtful accounts.

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Question Completion:

1. Determine the amount of the adjusting entry for uncollectible accounts.

2. Determine the adjusted balances of Accounts Receivable, Allowance for Doubtful Accounts, and Bad Debt Expenses.

3. Determine the net realizable value of accounts receivable

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INTRODUCTION: Portion-controlled cuts are ready-to-cook meats cut according to customer's specifications. Steaks and chops are ordered either by weight per steak or by thickness. Portion-controlled cuts require the least work for the cook of all meat cuts. They are also the most expensive per pound of all categories of cuts.Why are portion-controlled meats so widely used in food service, even though their per-pound cost is higher?Describe the difference between purchasing primal cuts and portion-controlled cuts. variables employed in a regression model can be quantitative or qualitative. true or false? if you link data to an access database, you can edit the data in the original file, but not in the access database. a. true b. false show that 937 is an inverse of 13 modulo 2436 the primary reason adoption became less common after the 1960s is the ________. Consider an X-ray tube with an applied voltage of 44 kV Part (a) What is the photon energy, in keV, of the shortest-wavelength X-ray radiation that can be generated? Part (b) What is the wavelength, in meters, of that radiation? employees in a quality control group are excited about working on ways to improve productivity in their plant. their excitement indicates which characteristic of an unsolved problem? What is the surface area of this (only calculate the walls and the interior ceiling) Do not calculate the interior floor and exterior floor and ceiling. I KNOW THIS IS CONFUSING BUT PLS HELPPP!! Convert the point from rectangular coordinates to spherical coordinates.(-2, -2, 19)(rho, , ) =? iam is in the habit of using his credit card for expenditures made on business trips. the most likely reason he does this is to true/false. cite the primary differences between addition and condensation polymerization techniques. Write an essay responding to the following prompt:Who do you believe is the tragic hero Caesar or Brutus in Shakespeare's play Julius Caesar? Why Using Z-transform to find the response h [n] of the system y[n+ 2] 2y[n + 1] + 2y [n] = x [n] when all the initial conditions are zero. Answer with an integer the value of h [n] when n =14. Prove that (5^(2n+1) + 2^(2n+1) is divisible by 7nN? 3:19 use of hardened intermediary systems within a security zone to allow the monitoring of activity is called: Consider the following three class declarations.public class ClassOne{public void methodA(){ /* implementation not shown */ }public void methodB(){ /* implementation not shown */ }}public class ClassTwo{public void methodA(){ /* implementation not shown */ }}public class ClassThree extends ClassOne{public void methodB(){ /* implementation not shown */ }}The following declarations occur in a method in another class.ClassOne one = new ClassOne();ClassTwo two = new ClassTwo();ClassThree three = new ClassThree();/* missing method call */Which of the following replacements for /* missing method call */ will cause a compile-time error?Aone.methodA();Btwo.methodA();Ctwo.methodB();Dthree.methodA();Ethree.methodB(); The Haber process generates ammonia from nitrogen andhydrogen gas through the following chemical equation. N2 + 3H2 + 2NH3Which is the excess reagent in the Haber reaction if equalmoles of Hydrogen and Nitrogen are used? Match each example to the correct behavioral therapy technique.vicarious reinforcementPhoebe watches as her therapist's assistant praises the therapist for positive social interactions while roleplaying making new friends.contingency managementClint is quickly isolated from other children every time he taunts or picks on one.modelingTanya's therapist demonstrates how to stand up for herself. Tanya then practices defending herself against her therapist, who pretends to be Tanya's boss. giorgio had cost of goods sold of $9,637 million, ending inventory of $2,305 million, and average inventory of $2,181 million. its inventory turnover equals: use the following data to determine the normal boiling point, in k, of mercury. hg(l) h o f = 0 (by definition) s o = 77.4 j/kmol hg(g) h o f = 60.78 kj/mol s o = 174.7 j/kmol