\(2\left(x+3\right)=x-4\)

Answer:

3825 miles

Step-by-step explanation:

Answer:

0.43715

Step-by-step explanation:

We solve using z score calculator

z = (x-μ)/σ, where

x is the raw score

μ is the population mean = $276,000

σ is the population standard deviation = 32,000

For x = $276,000

z = 276,000 - 276,000/32000

z = 0

Probability value from Z-Table:

P(x = 276000) = 0.5

For x = $325,000

z = 325,000 - 276,000/32000

z = 1.53125

Probability value from Z-Table:

P(x = 325000) = 0.93715

The probability that the next house in the community will sell for between $276,000 and $325,000 is

P(x = 325000) - P(x = 276000)

= 0.93715 - 0.5

= 0.43715

To find the displacement and total distance traveled by the object from t=0 to t=6, we need to integrate the velocity function over the given time interval.

The displacement can be found by integrating the velocity function v(t) with respect to t over the interval [0, 6]. The integral of v(t) represents the net change in position of the object during this time interval.

The total distance traveled can be determined by considering the absolute value of the velocity function over the interval [0, 6]. This accounts for both the forward and backward movements of the object.

Now, let's calculate the displacement and total distance traveled using the given velocity function v(t) = t^2 - (1/t) - 12 over the interval [0, 6].

To find the displacement, we integrate the velocity function as follows:

Displacement = ∫[0,6] (t^2 - (1/t) - 12) dt.

To find the total distance traveled, we integrate the absolute value of the velocity function as follows:

Total distance = ∫[0,6] |t^2 - (1/t) - 12| dt.

By evaluating these integrals, we can determine the displacement and total distance traveled by the object from t=0 to t=6.

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Answer:

0.005

Step-by-step explanation:

10^-5 =0.00001

0.00001x1= 0.00001

0.00001x 500=0.005 miles

\(625=5^{7x-3}\implies 5^4=5^{7x-3}\implies 4=7x-3 \\\\\\ 7=7x\implies \cfrac{7}{7}=x\implies 1=x\)

a) approximately 500 boxes. b) The reorder point is approximately 76 boxes. c) approximately 8 orders d) total annual cost is approximately $9,059.63 e) approximately $9,003.38

a. Economic Order Quantity (EOQ):

The Economic Order Quantity (EOQ) can be calculated using the formula:

EOQ = sqrt((2 * D * S) / H)

Where:

D = Annual demand

S = Ordering cost per order

H = Holding cost per unit per year

Annual demand (D) = 325 boxes per month * 12 months = 3,900 boxes

Ordering cost per order (S) = $18.00

Holding cost per unit per year (H) = 0.25 * $2.25 = $0.5625

Substituting the values into the EOQ formula:

EOQ = sqrt((2 * 3,900 * 18) / 0.5625)

   = sqrt(140,400 / 0.5625)

   = sqrt(249,600)

   ≈ 499.6

b. Reorder Point (assuming no safety stock):

The reorder point can be calculated using the formula:

Reorder Point = Lead time demand

Lead time demand = Lead time * Average daily demand

Lead time = 7 days

Average daily demand = Annual demand / Working days per year

Working days per year = 360

Average daily demand = 3,900 boxes / 360 days

                    ≈ 10.833 boxes per day

Lead time demand = 7 * 10.833

               ≈ 75.83

c. Number of Orders-per-Year:

The number of orders per year can be calculated using the formula:

Number of Orders-per-Year = Annual demand / EOQ

Number of Orders-per-Year = 3,900 boxes / 500 boxes

                        = 7.8

d. Total Annual Cost:

The total annual cost can be calculated by considering the ordering cost, holding cost, and the cost of the shoe boxes themselves.

Ordering cost = Number of Orders-per-Year * Ordering cost per order

             = 8 * $18.00

             = $144.00

Holding cost = Average inventory * Holding cost per unit per year

Average inventory = EOQ / 2

                = 500 / 2

                = 250 boxes

Holding cost = 250 * $0.5625

            = $140.625

Total Annual Cost = Ordering cost + Holding cost + Cost of shoe boxes

Cost of shoe boxes = Annual demand * Cost per box

                 = 3,900 boxes * $2.25

                 = $8,775.00

Total Annual Cost = $144.00 + $140.625 + $8,775.00

                = $9,059.625

e. If storage space weren't so limited, and the inventory holding costs were reduced to 15% of the unit cost:

To calculate the new total annual cost, we need to recalculate the holding cost using the reduced holding cost percentage.

Holding cost per unit per year (H_new) = 0.15 * $2.25

                                    = $0.3375

Average inventory = EOQ / 2

                = 500 / 2

                = 250 boxes

New holding cost =

Average inventory * Holding cost per unit per year

                = 250 * $0.3375

                = $84.375

Total Annual Cost (new) = Ordering cost + New holding cost + Cost of shoe boxes

Total Annual Cost (new) = $144.00 + $84.375 + $8,775.00

                      = $9,003.375

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Answer:

1 :w =√-3.728 = 0.0 - 1.93078 i

2 :w =√-3.728 = 0.0 + 1.93078 i

3 :w =√21.728 = -4.66132

4:w =√21.728 = 4.66132

Step-by-step explanation:

Answer:

enlargement ; 2

Step-by-step explanation:

dilation is change in the size of the figure.

in the given scenario, figure's size is increasing so dilation is called enlargement and scale factor must be greater than 1.

scale factor = dimension of new shape / dimension of original shape

let's calculate the difference in terms of boxes of both figures to calculate the scale factor,

scale factor = 6/3

thus, in the given dilation we have enlargement of 2

length : \(\sf \sqrt{89}\)

Explanation:

use the distance formula : \(\sf \sqrt{(x_2-x_1)^2+(y_2-y_1)^2}\)

\(\sf \rightarrow \sf \sf \sqrt{(7--1)^2+(4-9)^2}\)

\(\sf \rightarrow \sf \sf \sqrt{(8)^2+(-5)^2}\)

\(\sf \rightarrow \sf \sf \sqrt{64+25}\)

\(\sf \rightarrow \sf \sf \sqrt{89}\)

Answer:

\(\sf \sqrt{89}\)

Step-by-step explanation:

Let A = \(\sf (x_1,y_1)\) = (-1, 9)

Let B = \(\sf (x_2,y_2)\) = (7, 4)

Distance formula:

\(\sf d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}\)

Input values into the distance formula and solve for d:

\(\sf \implies d=\sqrt{(7-(-1))^2+(4-9)^2}\)

\(\sf \implies d=\sqrt{8^2+(-5)^2}\)

\(\sf \implies d=\sqrt{64+25}\)

\(\sf \implies d=\sqrt{89}\)

Answer:

18 books done and 6 books left

Step-by-step explanation:

24 *3/4 = 18

Answer:

18 books done and 6 books left

Step-by-step explanation:

Answer:

A U { } = A

Step-by-step explanation:

Union is one of the operations that are performed on sets. In union, the elements of involved sets are combined and repetitive elements are removed (written only once)

Given

 A U { } = ?

Whenever union will be taken of any set and empty set the answer will be the set.

Similarly, when union of set A will be taken with empty set the result will be set A.

Hence,

A U { } = A

Answer:

A.

We can see that the rectangles are congruent meaning they can be mapped onto one another perfectly and therefore 13 and t make up a rectangle the same size and shape as the second one. This means that 13+t will add to 17 since the rectangle they make up is congruent to the second one

Step-by-step explanation:

Answer:

y = 2x

Step-by-step explanation:

The slope is 2.  Find a point on the line, to go back to the line, go up two and one to the right.  You will be back on the line.  This pattern repeats over and over and again.

Answer: 102.4

Given ratio 5:8

Let's assume the answer to be x

5÷8 should be equal to 64÷x

∴ x= (64×8) ÷ 5

=102.4

The number that has the same ratio to 64 as 5:8 is gotten as; 40

How to Calculate Ratio?

We have the ratio 5:8.

Now, we want to find the number that has the same ratio to 64 as 5:8. Thus, we will use proportion to get this;

x/64 = 5/8

Cross multiply to get;

x = 64 * 5/8

x = 40

===================================================

Explanation:

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

f ' (x) = 3x^2 - 2 ..... apply the power rule

f ' (1) = 3(1)^2 - 2 ... plug in x coordinate of given point

f ' (1) = 1

If x = 1 is plugged into the derivative function, then we get the output 1. This means the slope of the tangent line at (1,2) is m = 1. It's just a coincidence that the x input value is the same as the slope m value.

Now apply point slope form to find the equation of the tangent line

y - y1 = m(x - x1)

y - 2 = 1(x - 1)

y - 2 = x - 1

y = x - 1 + 2

y = x + 1   is the equation of the tangent line.

The graph is shown below. I used GeoGebra to make the graph.

Answer:

last option

Step-by-step explanation:

7 is the most significant value

If there are implicit costs of production, economic profit will be lower than accounting profit.

Implicit costs refer to the opportunity costs of using resources in a particular production process. These costs are not explicitly recorded in accounting statements but represent the value of alternative uses of resources. When implicit costs exist, economic profit will be lower than accounting profit. Accounting profit is calculated by subtracting only explicit costs, such as wages, rent, and materials, from total revenue.

On the other hand, economic profit takes into account both explicit and implicit costs. Implicit costs represent the foregone opportunities or benefits that could have been obtained if resources were used in alternative ways. Since accounting profit does not consider these opportunity costs, it is generally higher than economic profit. Economic profit reflects the true economic performance of a business by considering all costs, both explicit and implicit.

Therefore, if there are implicit costs of production, economic profit will be lower than accounting profit.

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A: accounting profit will exceed economic profit.

Implicit costs of production refer to the opportunity cost of using resources that a firm already owns rather than selling them in the market. These costs are not reflected in accounting records but are included in economic analysis. Accounting profit is calculated by subtracting only explicit costs from total revenue, while economic profit is calculated by subtracting both explicit and implicit costs from total revenue. Since accounting profit does not include implicit costs, it will always be higher than economic profit. In some cases, economic profit may even be negative, indicating that a firm is better off not producing anything at all. Thus, option A is the correct answer. Option B is incorrect because economic profit can be positive or negative. Option C is incorrect because economic profit is always lower than accounting profit. Option D is incorrect because accounting profit can be positive or negative. Option E is incorrect because economic profit and accounting profit are not always equal.

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Answer:

-1/4

Step-by-step explanation:

take two points (0, -2) & (-4, -1)

use the slope formula

(y₂ - y₁) / (x₂ - x₁)

(-1 + 2) / (-4 - 0) = 1/-4

y = -1/4x + b

slope is -1/4

These standardization methods are crucial in chromatography to ensure accurate quantification and comparability of results.

In chromatography, standardization methods are used to ensure accurate and reliable results by establishing reference points or calibration standards. Here are three common methods of standardization in chromatography: External Standardization: In this method, a set of known standard samples with known concentrations or properties is prepared separately from the sample being analyzed. These standards are then analyzed using the same chromatographic conditions as the sample. By comparing the response of the sample to that of the standards, the concentration or properties of the sample can be determined. Internal Standardization: This method involves the addition of a known compound (internal standard) to both the standard solutions and the sample. The internal standard should ideally have similar properties to the analyte of interest but be different enough to be easily distinguished. The response of the internal standard is used as a reference to correct for variations in sample preparation, injection volume, and instrumental response. Internal standardization helps improve the accuracy and precision of the analysis. Standard Addition: This method is useful when the matrix of the sample interferes with the analysis or when the analyte concentration is unknown. It involves adding known amounts of the analyte of interest to different aliquots of the sample. The response of the analyte is then measured, and the concentration is determined by comparing the response with that of the standards. The difference in response between the sample and the standards allows for the determination of the analyte concentration in the original sample.

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The domain of the function \(f(x) = \frac {3}{x^2 + 12x - 28}\) is \((-\infty, -14) \cup (-14, 2) \cup (2, +\infty)\), excluding the values -14 and 2 from the set of real numbers for which the function is defined.

To determine the domain of the function, we need to identify the values of x for which the function is defined. The function is defined for all real numbers except the values that make the denominator zero, as division by zero is undefined.

To find the values that make the denominator zero, we set the denominator equal to zero and solve the quadratic equation \(x^2 + 12x - 28 = 0\). Using factoring or the quadratic formula, we find that the solutions are x = -14 and x = 2.

Therefore, the function is undefined at x = -14 and x = 2. We exclude these values from the domain. The remaining real numbers, excluding -14 and 2, are included in the domain.

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Answer:

-1+1

Step-by-step explanation:

cause takes out one gallon then adds one

Answer:

its not -1+1 NOT HELPFUL

Step-by-step explanation:

hi how is your day

Answer: 698352.000

698352 rounded to the nearest 1000 is 698352.000

Answer:

1 (100block)

5 (10block)

3 (1block)

Step-by-step explanation:

221-68=153

1x100=100

5x10=50

3x1=3

The amount that x = 53 needs to be to balance the scale.

The term "equation" refers to a pair of algebraic expressions with the same value and the sign "=" in between.

We have an equation,

221 = x + 68

x = 221 - 68

x = 153

In 153,

1 is in place of hundred 100, 5 is in the place of 10 so, 50.

Therefore, x = 53 is the amount that needs to be to balance the scale.

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Answer:

Lowest to highest

7/10 ,  11/15,   4/5

Step-by-step explanation:

Probably the easiest way to do this is to convert each of the fractions to decimals which will clearly indicate which is the highest and which the lowest etc.

4/5 = 0.80

11/15 = 0.73

7/10 = 0.7

0.7 is less than 0.73 is less than 0.80
So 7/10, 11/15, 4/5

However, I am assuming they want you to work with fractions

To compare fractions you have to get all the denominators equal and then compare the numerator

To get a common denominator find the Least Common Multiple of the denominators. This is the lowest number that can be divided by all three denominators

Looking at 5, 15 and 10 we can see that 30 is divisible by each denominator. So that becomes our common denominator

Now multiply each fraction denominator by a factor to make the denominator equal to the common denominator. At the same time multiply the numerator by the same factor

4/5 = (4 x 6) / (5 x 6) = 24/30    Highest

11/15 = (11 x 2) / (15 x 2) = 22/30

7/10 = (7 x 3) / (10 x 3) = 21/30      Lowest

Looking at the numerator alone we can see that 7/10 is the lowest, 11/15 is next lowest and 4/5 the highest

Answer:

yes

Step-by-step explanation:

are know men sorry

jajsjbsbdhjcbjncjksnfvb:c

Answer:

The slope is 5.

Step-by-step explanation:

We are given the points (-2, -5) and (0,5).

We want to find the slope between these 2 points.

The slope (m) is written with the formula \(\frac{y_2-y_1}{x_2-x_1}\), where \((x_1,y_1)\) and \((x_2,y_2)\) are points.

Let's label the values of the points to avoid any confusion and mistakes when calculating.

\(x_1=-2\\y_1=-5\\x_2=0\\y_2=5\)

Now, substitute into the formula.

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

\(m = \frac{5--5}{0--2}\)

This can be simplified to:

\(m = \frac{5+5}{0+2}\)

Add the values together.

\(m = \frac{10}{2}\)

m = 5

The slope is 5.

Answer:

1/r^7 + 1/s^12

Step-by-step explanation:

Since there is a negative exponent, the term becomes a fraction. As we do not know the value of the term, it remains in its variable form with a positive exponent

Answer:

g < 2

Step-by-step explanation:

2g - 3 < 1 , add 3 to both sides

2g -3 + 3 < 1+3 , combine like terms

2g < 4, divide both sides by 2

g < 2