Question 2
How many solutions is x=0?
Zero
Infinitely many
One

The correct answer is D: A and B ( Accounts receivable and cost goods )

Accounts receivable represents the amount of money owed to a company by its customers for goods or services that have been delivered but not yet paid for. As sales increase, the amount of accounts receivable also tends to increase since more customers will have outstanding balances.

Cost of goods sold (COGS) represents the direct costs associated with producing or purchasing the goods that are sold by a company. It includes the cost of raw materials, labor, and other direct expenses. As sales increase, the COGS also tends to increase since more goods are being produced or purchased for sale.

COGS is directly influenced by the level of sales because it is tied to the inventory turnover. When goods are sold, their associated costs are transferred from the inventory account to the COGS account. As sales increase, more goods are sold, and therefore, more costs are transferred to COGS.

COGS is calculated by subtracting the ending inventory value from the sum of the beginning inventory and the purchases made during a specific period. It is a key component in determining a company's gross profit and gross profit margin, which are important indicators of profitability.

On the other hand, administrative salaries (option c) typically do not vary directly with sales. Administrative salaries are usually fixed expenses that are paid to employees for their administrative roles regardless of the level of sales.

Therefore, the correct answer is option d. A and B, as both accounts receivable and cost of goods sold vary with sales.

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The values for the highlighted variables is a=-1,b=-9,c=9,d=3,e=3,f=2 and g=3/2.

Given:

3x/2x-6 + 9/6-2x

Rewrite 6-2x as 2x-6 by taking (-1) as common factor:

= 3x/2x-6 + 9/(-1)(2x-6)

so a = -1

= 3x/2x+6 + -9/2x-6

so b = -9

The LCM of 2x - 6 and 2x - 6 is 2x -6.

= 1*3x + 1*-9 / 2x-6

= 3x - 9 / 2x -6

so c = 9

(3x - 9) = 3(x-3)

(2x - 6) = 2(x - 3)

= 3(x-3)/2(x-3)

so d =3,e=3 and f=2 , g = 3/2.

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Full question:

Enter the values for the highlighted variables to complete the steps to find the sum:

3x/2x-6 + 9/6-2x = 3x/2x-6 + 9/a(2x-6) = 3x(2x-6)+6(2x-6)=3x-c 2x-6 =d(x-x) f(x-3) = g

A- -1

B= -9

C= 9

D= 3

E= 3

F= 2

G= 1.5

Answer:2

Step-by-step explanation:

IfIf AD BD, the following relationships that can be proved and why is: D. ΔACD ΔBCD, because of SAS.

The relationship that can be proved is ΔACD ΔBCD, because of SAS.

The reason is that m<CDA=M<CDB=90°

CD=CD

AD=BD

Hence, ΔACD=ΔBCD because of SAS. SAS congruence can tend to be proved when the length of the two side correspond and when  the angle between the two side is equal.

Therefore the correct option is D.

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The opposite angles of a parallelogram are equal.

x + y = a+ b

Let's consider a quadrilateral ABCD which is a parallelogram with AC as its diagonal.

We know, in parallelograms opposites' sides are parallel.

So, AB∥DC and AD∥BC

Since AB is parallel to DC and AC is the transversal.

By alternate angles,

∠BAC = ∠DCA

y = a                                                                                           -----------------(1)

Similarly, AD is parallel to BC and AC is the transversal.

The alternate angles,

∠DAC = ∠BCA

x = b                                                                                           -----------------(2)

Adding equations ( 1 ) and ( 2 ),

∠BAC + ∠DAC = ∠DCA + ∠BCA

∠BAD = ∠DCB

x + y = a + b

Similarly, we can prove, ∠ADC=∠ABC

Hence proved, opposite sites of a parallelogram are equal.

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Answer:

Step-by-step explanation:

Using pairs of points from the  table to get the equation:

The slope:

y-intercept:

So the equation is:

Answer:

Y=12x

Step-by-step explanation:

Y=12x

Step by step explanation

Answer:

Step-by-step explanation:

Slope= -3/7

Y x intercept = -1/7

Answer:

the slope is -3/7

y int is -1/7

There are 240240 possible permutations of choosing 5 shows from 14 available shows. It can be obtained by applying the formula of permutation.

What is permutation?

In mathematics, it is the number of ways in which given number of items can be arranged in different orders.

Here, we need to select 5 iteams from the given 14 iteams.

\(P(14,5)=\frac{14!}{(14-5)!}\\=\frac{14!}{(9!)}\\=\frac{(14)(13)(12)(11)(10)(9!)}{(9!)}\\=(14)(13)(12)(11)(10)\\=240240\)

Hence, there are 240240 possible permutations of choosing 5 shows from 14 available shows.

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Answer:

x = 1

Step-by-step explanation:

\(\dfrac{16-x}{5}=2+x\\\\Multiply \ both \ sides \ by \ 5\\\\5*\dfrac{16-x}{5}=5*(2+x)\\\\\)

16-x = 5*(2 + x)  

Use distributive property

16 - x = 5*2 + 5* x

16 -x = 10 + 5x

Add x to both sides

16 = 10 + 5x + x

16 = 10 + 6x

Subtract 10 from both sides

16 - 10 = 6x

6 = 6x

Divide both sides by 6

6/6 = x

x = 1

The exact directional derivative of √√(xyz) at the point (9, 3, 3) in the direction (2, 1, 2) is 4.

To find the exact directional derivative of the function √√(xyz) at the point (9, 3, 3) in the direction (2, 1, 2), we use the formula for the directional derivative. The exact value of the directional derivative can be obtained by evaluating the gradient of the function at the given point and then taking the dot product with the direction vector.

The formula for the directional derivative of a function f(x, y, z) in the direction of a unit vector u = (a, b, c) is given by:

D_u f(x, y, z) = ∇f(x, y, z) · u,

where ∇f(x, y, z) represents the gradient of f(x, y, z).

To find the gradient of √√(xyz), we compute the partial derivatives with respect to x, y, and z:

∂f/∂x = (1/2)√(y)z / (√√(xyz)),

∂f/∂y = (1/2)√(x)z / (√√(xyz)),

∂f/∂z = (1/2)√(xy) / (√√(xyz)).

Evaluating these partial derivatives at the point (9, 3, 3), we obtain:

∂f/∂x = (1/2)√(3)(3) / (√√(9*3*3)) = 9 / 6,

∂f/∂y = (1/2)√(9)(3) / (√√(9*3*3)) = 3 / 6,

∂f/∂z = (1/2)√(9*3) / (√√(9*3*3)) = 3 / 6.

The gradient vector ∇f(x, y, z) at the point (9, 3, 3) is given by (∂f/∂x, ∂f/∂y, ∂f/∂z) = (9/6, 3/6, 3/6).

Taking the dot product of the gradient vector and the direction vector (2, 1, 2), we have:

(9/6, 3/6, 3/6) · (2, 1, 2) = (3/2) + (1/2) + (3/2) = 4.

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The measure of length TW is equivalent to 31 units.

It is given that TW is a mid - segment of ΔSUV and UV = 62.

TW is the mid - segment of the ΔSUV. So, we can write that -

SW/WV = TW/UV = ST/TU = 1/2

TW = 1/2 UV

TW = 1/2 x 62

TW = 31

So, the measure of length TW is 31 units.

Therefore, the measure of length TW is equivalent to 31 units.

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TRUE. In a free body diagram, a roller support is replaced by two reaction forces.

A roller support is a type of support that allows a structure to rotate or move along a surface without any resistance to translation. It provides support in the perpendicular direction to the surface, but allows movement in the parallel direction.

To represent a roller support in a free body diagram, two reaction forces are used. One force acts perpendicular to the surface and is known as the normal force. This force prevents the structure from sinking into the surface. The other force acts parallel to the surface and is known as the frictional force. This force prevents the structure from sliding along the surface.

By including these two reaction forces in the free body diagram, the roller support is accurately represented, taking into account the constraints it imposes on the structure.

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O Zeema gets paid £1870 per month in equal monthly payments.

The amount paid each month to repay the loan over the course of the loan is known as the monthly payment. When a loan is taken out, not only the principal, or the original amount borrowed, but also the interest that accrues, must be repaid.

Now when the total amount earned in a month is given then the monthly payment is calculated by dividing the total amount by 12 as there are 12 months in a year.

Annual amount earned by O Zeema=£22,440

Therefore monthly amount earned=£22,440 ÷12=£1870

Hence O Zeema earns £1870 per month

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The length a spring stretches when subjected to the given load is required.

The spring is stretched by 18 inches.

F = Force

k = Spring constant

x = Stretched length

\(F=50\ \text{lbf}\)

\(x=5\ \text{inch}\)

Hooke's law is given by

\(F=kx\\\Rightarrow 50=k5\\\Rightarrow k=\dfrac{50}{5}\\\Rightarrow k=10\ \text{lbf/inch}\)

\(F=180\ \text{lbf}\)

For the required spring

\(F=kx\\\Rightarrow x=\dfrac{F}{k}\\\Rightarrow x=\dfrac{180}{10}\\\Rightarrow x=18\ \text{inches}\)

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The minimum sample size needed to estimate the population mean μ, given a confidence level of 0.98, a standard deviation of 9.6, and a desired margin of error of 1, is approximately 67.

To calculate the minimum sample size, we can use the formula:

n = (Z * σ / E)^2

Where:

n = sample size

Z = Z-score corresponding to the desired confidence level (0.98)

σ = standard deviation of the population

E = margin of error

Given that the confidence level is 0.98, the Z-score can be obtained from the standard normal distribution table. The Z-score corresponding to a confidence level of 0.98 is approximately 2.326.

Substituting the values into the formula, we have:

n = (2.326 * 9.6 / 1)^2

Calculating this expression, we find:

n ≈ 67.12

Since we need to round up to the nearest whole number, the minimum sample size needed to estimate μ is approximately 67.

In summary, the minimum sample size required to estimate the population mean μ, with a confidence level of 0.98, a standard deviation of 9.6, and a margin of error of 1, is approximately 67.

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Simplify:

Explanation:

Answer:

2x+10=2

2-10=-8

-8/2=-4 so x=-4

2(2(-4))+y=2

-2 x 2 x 4 + y =2

-16+y=2

y=-18

Answer:

Conrad = r + 6

Step-by-step explanation:

Answer:

2/5 * 4/5 =  8/25        7/9 * 2/3 = 14/27   4/7 * 2/3 = 8/21  1/6 * 7/8 = 7/48  2/3 *3/9 = 2/9

Step-by-step explanation: Just multiply the top with top and bottom with the bottom    To draw = just use a ruler for the width  we know if you measure the square box say it is already { 20 mm } wide  then you 2 * 4 = 8 is 2/5 of 20 so you shade the 8mm    Then to get the 4 as ultiplier we know 20/5 =4  

Answer:

25 rows of seats

Step-by-step explanation:

20 + 4 + 4=28 (the middle and both wings)

700/28=25 (divide the whole row by the total number of seats)

Answer:

B. $45.61

Step-by-step explanation:

28.35+17.26= 45.61

Answer:

b

Step-by-step explanation:

28.35 + 17.26

=45.61

Function 1, 2 and 3 are well-defined while function 4 is not well-defined.

A function f : A -> B is well-defined if f(a) is unique for all a in A. If a function is not well-defined, then it assigns different values to the same input, which violates the fundamental definition of a function. Here are the solutions to the given question:

1. f(x) = x/12

This function is well-defined since each input (x) is mapped to a unique output (x/12). Therefore, the function is well-defined.

2. g(x) = 1/(x - 3)

This function is well-defined since each input x is mapped to a unique output (1/(x-3)) that exists for all x ≠ 3. Therefore, the function is well-defined.

3. h(x) = 5/(1 + |x|)

This function is well-defined since each input x is mapped to a unique output (5/(1 + |x|)) that exists for all x. Therefore, the function is well-defined.

4. i(x) = √(-5)

This function is not well-defined because there is no real number whose square is negative. Therefore, the function is not well-defined.

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The value of f(5) in the function below is 8. (option-a)

The function `f(x) = 1/2*x` means that the output `f(x)` is equal to half of the input `x`.

To find `f(5)`, we substitute `5` for `x` in the function:

`f(5) = 1/2*5 = 5/2`

Therefore, the value of `f(5)` is `5/2`, which is an irrational number, and the answer is not listed among the options provided.

However, if we assume that the answer choices contain errors and we are asked to find the closest listed approximation to `5/2`, we can use commonly known approximations such as 3.14 for π to evaluate:

`5/2 ≈ 2.5`

The closest listed answer choice is option A, which approximates `2.5` to `8`. While this is not the exact value of `f(5)`, it is the closest listed approximation to `5/2`. (option A)

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The correct pair of constraints that needs to be added to specify that production of product 2 in period 4 and in period 5 differs by no more than 80 units is: P24 - P25 <= 80; P25-P24 <= 80. Therefore, the correct option is 5.

Here, the given information is Pij = the production of product i in period j. We need to find the pair of constraints that will specify that production of product 2 in period 4 and in period 5 differs by no more than 80 units. Thus, let the production of product 2 in period 4 and in period 5 be represented as P24 and P25 respectively.

Therefore, we can write the following inequalities:

P24 - P25 <= 80

This is because the production of product 2 in period 5 can be at most 80 units less than that of period 4. This inequality represents the difference being less than or equal to 80 units.

P25-P24 <= 80

This is because the production of product 2 in period 5 can be at most 80 units more than that of period 4. This inequality represents the difference being less than or equal to 80 units.

Therefore, we need to add the pair of constraints P24 - P25 <= 80 and P25-P24 <= 80 to specify that production of product 2 in period 4 and in period 5 differs by no more than 80 units. Hence, option 5 is the correct answer.

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Answer:

-3(x - 3) (x + 1)

Step-by-step explanation:

Let's check

-3(x - 3) (x + 1)

(-3x + 9) (x + 1)

-3\(x^{2}\) -3x + 9x + 9

-3\(x^{2}\) + 6x + 9

Answer:

-3(x-3)(x+1)

Step-by-step explanation:

A common factor that all three numbers share is that they are divisible by 3, so we can factor 3 out. Typically, I take out the negative first:

-3(\(x^2-2x-3\)) (always remember to change signs!)

Now, we are left with \(x^2-2x-3\), and to factor that out, we need to find two numbers that add up to -2 and multiply to -3. These two numbers will be 1 and -3, so we can write our factor like this:

(x-3)(x+1)

Let's add back in the -3 from earlier to complete our factoring:

-3(x-3)(x+1)

Answer:

Write the point slope form of the equation of the line that passes through the points (5,-9).

---

slope = m = (1--9)/(-6-5) = 10/-11 = -10/11

-------------------

Form:: y = mx + b

Solve for "b"::

-9 = (-10/11)5 + b

-------

Step-by-step explanation:

ur really pretty btw :p

Answer:

x=5

Step-by-step explanation:

3x+1 = 4x -4

Subtract 3x from each side

3x+1-3x = 4x-3x-4

1 = x-4

add 4 to each side

1+4 = x-4+4

5 =x

Answer: x=5

Step-by-step explanation:

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

3x+1=4x-4

3x+5=4x

5=x

Answer:

Fraction = 1/10

Decimal = 0.1

Step-by-step explanation:

If this is 6th grade, why did you put it under high school?(Just curious)

Answer:

49.02

Step-by-step explanation:

Ok, so this is a conversion problem and it wants you to get 45 euros to whatever amount of dollars that equals. So first, you need to get the conversion rate.

1 euro/1.14 dollars

Now, plug in the 43 Euros to the front of the conversion rate

43 euros (1 euro/1.14 dollars)

You want what you start with on the bottom of the conversion factor, so switch the rate around

43 euros (1.14 dollars/1 euro)

Then, multiply what is on top, then divide by what is on the bottom.

49.02 dollars/1=49.02 dollars

The euros go away because they cancelled out.