Under GAAP-based costing, what assumption justifies allocating organization-level manufacturing overhead among products?

Answer:

|ax - b| > c

The two bars |  | is used to indicate the function absolute value.

Remember this definition:

| x | = - x if x < 0 and x if x > 0

So, | x | > c =>

x > c or x > - c

Therefore:

|ax - b| > c =>  ax - b > c or ax - b > - c

Step-by-step explanation:

Answer:  the most the height of each cube organizer can be 24 inches

Step-by-step explanation:

Since we have given that

Height of the closet = 96 inches

Number of rows of cube organizers = 4

Greatest height of each cube organizer can be is given by

[tex]\frac{96}{4}=24[/tex]

Hence, the most the height of each cube organizer can be 24 inches.

An equation is formed when two equal expressions. The amount Max had before his purchase is $53.

An equation is formed when two equal expressions are equated together with the help of an equal sign '='.

Given that Max spent $53 and now has no money left. Therefore, we can write the details as,

The amount spent on the purchase = $53

The amount left after purchase = $0

Let the amount before purchase be represented by M. Therefore, we can write the amount remaining after purchase as,

Amount before purchase  - Amount spent on purchase = Amount remaining after purchase

M - $53 = $0

Adding 53 on both sides.

M - 53 + 53 = 53

M = 53

M = $53

Thus, the amount Max had before his purchase is $53.

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Final answer:

The 11th term of the sequence, where each term is the sum of the three previous terms starting with 1, 2, and 3, is 423.

Explanation:

The sequence is defined such that each term is the sum of the three previous terms, starting with 1, 2, and 3. To find the 11th term, we continue the sequence based on its pattern:

1 (given)

2 (given)

3 (given)

6 (1+2+3)

11 (2+3+6)

20 (3+6+11)

37 (6+11+20)

68 (11+20+37)

125 (20+37+68)

230 (37+68+125)

423 (68+125+230)

Therefore, the 11th term of the sequence is 423.

The problem is a simple algebraic equation in the form 7x - 11 = 6x + 5. By rearranging and simplifying, we find the solution is x = 16.

The question presents a mathematical statement that needs to be solved for the variable. Translating the words into an equation, we get: 7x - 11 = 6x + 5. This equation is saying seven times a number (we'll call it 'x') reduced by eleven is equal to six times that number increased by five.

To solve for 'x', first, rearrange the equation to get all 'x' terms on one side and constants on the other. By subtracting 6x from both sides, we get x - 11 = 5. Then, add 11 to both sides to isolate 'x': x = 16.

So, the number or 'x' that satisfies this equation is 16.

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x = 16.

To solve this, let the unknown number be represented by x.

We can set up the equation based on the given information:

7x - 11 = 6x + 5

Subtract 6x from both sides of the equation:

7x - 6x - 11 = 6x - 6x + 5

Simplify the equation:

x - 11 = 5

Add 11 to both sides:

x - 11 + 11 = 5 + 11

Simplify the equation:

x = 16

Thus, the number is 16.

Answer:

D) 6x² − 6x + 5 has degree 2.

Step-by-step explanation:

Given : Polynomial .

To find : Which algebraic expression is a polynomial with a degree of 2.

Solution: We have given polynomial

Degree : The highest power of the polynomial is called degree.

We can see from the given polynomials two polynomial have 2 power

first is  [tex]10x^{2} -\sqrt{x}[/tex].

Second is 6x² − 6x + 5.

But the first term have root so, it is not a polynomial.

So  6x² − 6x + 5 has degree 2

Therefore, D) 6x² − 6x + 5 has degree 2.

The transformation from the graph of [tex]\( f(x) = -4x + 8 \)[/tex] to [tex]\( g(x) = -f(x) \)[/tex] is a reflection in the x-axis.

The [tex]- \( f(x) = -4x + 8 \)[/tex] is a linear function with a negative coefficient in front of [tex]\( x \)[/tex], indicating a reflection in the x-axis.

When you negate f(x) to get g(x) = -f(x), it reflects the graph of f(x) in the x-axis.

So, the correct answer is: 3. Reflection in the x-axis

y-intercept = 2

slope = -3

let's take the 2 coordinates from the line.

(0, 2)(1, -1)

The y-intercept is when x = 0, When x = 0, y = 2 . This means the y-intercept is 2.

m = slope = -1 - 2 / 1 - 0  = -3 / 1 = -3

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Final answer:

A reasonable estimate for the product of 42.8 x 13.6 is 602, achieved by rounding each number to the nearest whole number and then multiplying them together.

Explanation:

To estimate the product of 42.8 x 13.6, we can round each number to the nearest whole number and then multiply. So, 42.8 is approximately 43, and 13.6 is approximately 14. Now, multiply these estimated values.

Estimated Calculation:

43 x 14 = 602

Therefore, a reasonable estimate for the product of 42.8 and 13.6 is 602. Remember, in estimation, we aim to simplify the calculation while still arriving at a number that's close to what the actual answer would be if we calculated it exactly.

The perfect square expression is (b) 6^2

A perfect square is any expression that can be represented as:

x^2

Where x is a real number

From the list of options, we have: 6^2

i.e.

x^2 = 6^2

Hence, the perfect square expression is (b) 6^2

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Answer:

m∠D=14

Step-by-step explanation:

∠C and ​ ∠D ​ are vertical angles with m∠C=−x+26 and m∠D=2x−10

Vertical angles are equal. So equate the angles C  and d  . Solve for x

m∠C=m∠D

[tex]-x+26=2x-10[/tex]

Subtract 2x from both sides

[tex]-3x+26=-10[/tex]

Subtract 26 from both sides

[tex]-3x=-36[/tex]

Divide both sides by -3

x=12

m∠D=2x−10

Substitute 12 for x

m∠D=2(12)−10=24-10= 14

Answer:

The correct option is C.

Step-by-step explanation:

Consider the provide information.

Now consider the provided options

Option A) If there is a coordinate plane with two parallel lines.

if the plane has two parallel line then, It has no solution because you can get the solution if lines intersect at a point. Thus, it is not the required option.

Option B) and D) If there are two intersecting lines then you can get only one solution. Thus, it is not the required option.

Option C) If there are two coinciding lines then you can find infinite intersecting points. Thus, it is the required option.

Therefore, the correct option is C.

The required four consecutive even integers are given as 28, 30, 32, and 34.

Given that,
Four consecutive even integers such that 2 times the sum of the first and second is 14 more than 3 times the fourth.

In mathematics, it deals with numbers of operations according to the statements. There are four major arithmetic operators, addition, subtraction, multiplication and division,

Here,
Let, the first term be a, and the common difference be d,

And series 2n, 2n + 2, 2n +4, 2n + 6
According to the question,
2[2n + 2n + 2] = 14  + 3[2n + 6]
8n + 4 = 14 + 6n + 18
2n = 28
n = 14
Series can be given as,
28, 30, 32, 34

Thus, the required four consecutive even integers are given as 28, 30, 32, and 34.

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The amount of the money that is in total removed from the account would be $69.

As per the question, the bank charges an out-of-network service fee of $3.00, and you withdraw $20 from each of three out-of-network ATMs, how much money in total will be removed from your account is to be determined.

In mathematics, it deals with numbers of operations according to the statements. There are four major arithmetic operators, addition, subtraction, multiplication and division,

Here,
Amount withdrew from the ATM three times,
= 3 × 20
= $60
The total service fee charged on out of network 3 times
= 3 × 3
= $9

Now, total money withdrew from the account = 60 + 9 = $69

Thus, the amount of money that is in total removed from the account would be $69.

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The total amount of money that will be removed from your account is $9.00.

To find the total amount of money that will be removed from your account, you need to multiply the out-of-network service fee by the number of withdrawals you made. In this case, the out-of-network service fee is $3.00 and you made three withdrawals. So, the total amount of money that will be removed from your account is $3.00 x 3 = $9.00.

The solution is y = 36. Divide both sides of the equation by 4 to isolate y. To isolate y, we want to get rid of the coefficient 4 that is multiplying y.

We do this by dividing both sides of the equation by 4:

4y / 4 = 144 / 4

On the left side, the 4 in the numerator and the 4 in the denominator cancel out, leaving us with just y:

y = 144 / 4

Now, Simplify the equation.

Now, we can perform the division to find the value of y:

y = 36

The solution is y = 36.

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Answer:

She has a total of $3.75 left

Step-by-step explanation:

Step 1

Express the amount of money Luis had in the beginning as follows;

A=E+R

where;

A=initial amount he had at the beginning

E=total expenditure

R=total remainder after spending

In our case;

A=(1×10)+(3×5)=$25

E=Amount spent at amusement park+amount spent on snacks

E=(12.75+8.50)=$21.25

R=unknown=r

Step 2

Substitute the values in the expression and solve for A;

25=21.25+r

r=25-21.25=3.75

r=3.75

She has a total of $3.75 left

Ron's hourly wage is $60. To save $500 for a new LED TV, he needs to work approximately 8.3 hours. Rounding up, he should work 9 hours to earn the required amount.

Ron earns $300 for working 5 hours, which means his hourly wage is $300 / 5 hours = $60 per hour. To save up for a $500 LED TV, Ron needs to determine how many hours he must work to earn that amount.

To calculate the total hours Ron needs to work to save $500, we divide the total amount he wants to save by his hourly wage:

$500 ÷ $60 per hour = 8.3 hours

Therefore, Ron needs to work approximately 8.3 hours to earn $500, assuming he continues to save all of his earnings. In practice, since he cannot work a fraction of the hour, Ron would need to round up to the nearest whole hour, meaning he needs to work 9 hours to meet or exceed his savings goal.

The coordinates of the midpoint of line segment EF with endpoints E(-2,3) and F(5, -3) are (1.5, 0), calculated using the midpoint formula.

To find the coordinates of the midpoint of line segment EF with endpoints E(-2,3) and F(5, -3), you can use the midpoint formula which is:

( (x1 + x2)/2, (y1 + y2)/2 )

Let's apply the formula:

x-coordinate of midpoint = ( (-2) + 5 ) / 2 = 3 / 2 = 1.5

y-coordinate of midpoint = ( 3 + (-3) ) / 2 = 0 / 2 = 0

So the midpoint of EF is (1.5, 0).