Ok it was right,keep it that way please

Answer: x=-3

Step-by-step explanation:

2(x)-39=5(x+2x)

2x-39=5(3x)

2x-39=15x

-39=13x

-39/13=-3

Answer:

49

Step-by-step explanation:

There is 7 different places each of the 7 people can stand. So you would do 7×7 which equals 49.

The statement "A necessary condition for an integer to be divisible by 6 is that it be divisible by 3" is true.

To determine the correctness of the given statement, we need to analyze the conditions and provide supporting evidence. In this case, the statement states that for an integer to be divisible by 6, it must also be divisible by 3. By examining the provided sentences, we can arrange them in the correct order to construct a logical argument.

The first sentence presents a proof by supposing that n is any integer divisible by 6. It states that n can be expressed as n = 6r for some integer, and since 2r is a product of integers, it is also an integer. Consequently, n can be represented as n = 3(2r), demonstrating that n is divisible by 3.

The second sentence concludes that the above proof shows the truth of the statement. It establishes the validity of the necessary condition for an integer to be divisible by 6, which is being divisible by 3.

Lastly, the third sentence introduces a counterexample where n is set to 15. This counterexample demonstrates a situation where n is divisible by 3 but not divisible by 6, thus refuting the statement.

By organizing the sentences in this order, we can see that the statement is false, as evidenced by the counterexample.

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Answer:

95

Step-by-step explanation:

The payback time for the new equipment is around 7 years, considering a reduced operational cost of $2,000 per year.


To calculate the payback time for the new piece of equipment, we need to determine how long it will take for the cost savings from reduced operation costs to equal the initial cost of the equipment.
First, let's find the annual cost savings. The equipment will result in a reduced operation cost of $2,000 per year.
Next, we need to calculate how many years it will take for the annual cost savings to equal the initial cost of the equipment.

To do this, we divide the initial cost of the equipment ($14,090) by the annual cost savings ($2,000).
$14,090 / $2,000 = 7.045
Therefore, the payback time in years for the new piece of equipment is approximately 7.045 years.
Please note that in practice, it's common to round the payback time to the nearest whole number, so the payback time for this equipment would likely be considered 7 years.

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Step-by-step explanation:

4.1  X 10^2    is    4.1  X 100   =   410

Given:

A figure of an isosceles trapezoid with bases 18 and 24, and the vertical height is 4.

To find:

The legs of the isosceles trapezoid.

Solution:

Draw another perpendicular and name the vertices as shown in the below figure.

From the figure it is clear that the AEFD is a rectangle. So,

\(EF=AD=18\)

Since ABCD is an isosceles trapezoid, therefore in triangle ABE and DCF,

\(AB=DC\)               (Legs of isosceles trapezoid)

\(AE=DF\)                (Vertical height of isosceles trapezoid)

\(m\angle AEB=m\angle DFC\)             (Right angle)

\(\Delta ABE\cong \Delta DCF\)                (HL postulate)

\(BE=CF\)                (CPCTC)

Now,

\(BE+EF+FC=BC\)

\(2BE+18=24\)

\(2BE=24-18\)

\(2BE=6\)

\(BE=3\)

Using Pythagoras theorem in triangle ABE, we get

\(Hypotenuse^2=Perpendicular^2+Base^2\)

\((AB)^2=(AE)^2+(BE)^2\)

\((AB)^2=(4)^2+(3)^2\)

\((AB)^2=16+9\)

\((AB)^2=25\)

Taking square root on both sides, we get

\(AB=\pm \sqrt{25}\)

\(AB=\pm 5\)

Side length cannot be negative. So, \(AB=5\).

Therefore, the length of legs in the given isosceles trapezoid is 5 units.

If Ethan watches fewer than 6 movies per month, Plan A would be more expensive. If he watches more than 6 movies per month, Plan B would be more expensive.

For Plan A, the monthly cost is composed of a fixed fee of $28 plus a variable fee of $2.50 per movie watched. So, if Ethan watches x movies per month, the monthly cost for Plan A can be represented by the equation:

A = 28 + 2.5x

Here, A represents the monthly cost of Plan A, and x represents the number of movies Ethan watches per month.

For Plan B, the monthly cost is also composed of a fixed fee of $37, but the variable fee per movie watched is only $1. So, if Ethan watches x movies per month, the monthly cost for Plan B can be represented by the equation:

B = 37 + 1x

Again, B represents the monthly cost of Plan B, and x represents the number of movies Ethan watches per month.

To find the number of monthly movies watched, x, that would make the two plans have an equal monthly cost, we need to solve the equation:

A = B

So, we can substitute the equations for A and B to get:

28 + 2.5x = 37 + 1x

Now we can solve for x:

2.5x - 1x = 37 - 28

1.5x = 9

x = 6

So, if Ethan watches 6 movies per month, the monthly cost of Plan A and Plan B would be equal, at $41 per month.

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The EOQ for Sam's optimal order quantity is 28 bags, and the average time between orders is 0.3 weeks. The reorder point should be set at 400 bags.

a. The Economic Order Quantity (EOQ) is the optimal order quantity that minimizes the total cost of inventory. In this case, the EOQ can be calculated using the given information, such as demand, order cost, and annual holding cost. The EOQ is rounded to the nearest whole number. The average time between orders can be calculated by dividing the EOQ by the weekly demand and rounding it to one decimal place.

b.The reorder point (R) represents the inventory level at which a new order should be placed to avoid stockouts. It is calculated by multiplying the lead time (in weeks) by the average weekly demand and rounding to the nearest whole number.

a. To calculate the Economic Order Quantity (EOQ), we use the formula:

EOQ = √((2 * Demand * Order cost) / Annual holding cost)

Substituting the given values:

Demand = 100 bags/week

Order cost = $55/order

Annual holding cost = 25% of cost (25% * $55 = $13.75)

EOQ = √((2 * 100 * $55) / $13.75) ≈ √(11000 / 13.75) ≈ √800 ≈ 28.3

Rounding the EOQ to the nearest whole number gives us 28 bags.

To calculate the average time between orders, we divide the EOQ by the weekly demand:

Average time between orders = EOQ / Demand = 28 / 100 ≈ 0.28 weeks

Rounding the average time between orders to one decimal place gives us 0.3 weeks.

b. The reorder point (R) is calculated by multiplying the lead time (in weeks) by the average weekly demand:

R = Lead time * Demand = 4 weeks * 100 bags/week = 400 bags

Therefore, the reorder point is 400 bags.

In summary, the EOQ for Sam's optimal order quantity is 28 bags, and the average time between orders is 0.3 weeks. The reorder point should be set at 400 bags. These calculations help Sam determine the appropriate inventory management strategy to maintain an optimal level of inventory and avoid stockouts.

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Answer:

a. 264.5

b.40.375

c.0.1

d.0.8

e.7656

f.500

Step-by-step explanation:

a. \(\frac{115}{100}*230=\frac{26450}{100}=264.5\)

b.\(\frac{80*4+3/4}{100}*50=\frac{323/4}{100}*50=\frac{323/4*50}{100}=\frac{4037.5}{100}=40.375\)

c.\(\frac{500}{100}*0.02=5*0.02=0.1\)

d.\(\frac{1/10}{100}*800=1/10*1/100 *800=\frac{1}{1000}*800=\frac{800}{1000}=0.8\)

e.\(\frac{63*5+4/5}{100}*12000=\frac{319/5}{100}=12000=319/5*1/100*12000=319/500*12000=\frac{319*12000}{500}= \frac{3828000}{500}=7656\)

f.\(\frac{0.05}{100}*1000000=\frac{0.05*1000000}{100}= \frac{50000}{100}=500\)

Answer:

x=26

Step-by-step explanation:

1/3(x-2)=1/5(x+4)+2

x-2=3/5x+42/5

5x-10=3x+42

5x-3x-10=42

5x-3=42+10

2x=42+10

2x=52

x=26

Answer:

For question 6 there are 3 steps, and for question 7 there are 2 steps

Step-by-step explanation:

Question 6:

step 1. 89 x 2=178

step 2. 89 x 3=267

step 3. 267 + 178=445

Question 7:

step 1. 35 x 3= 105

step 2. 25 x 5= 12

Your're welcome :)

Answer:

a) \(239.387\; meters\)

b) \(93,720.0105 \;m^2\)

Step-by-step explanation:

You hid the figure for some reason so I am going by the description

AB represents the distance across the river

AC is on one side of the river

Points ABC form a right triangle with m∠C = 17°

The tangent of the angle of a right triangle can be found by the formula
\(\tan \theta = \dfrac{opposite}{adjacent}\)

where

opposite is the side opposite the angle

adjacent is the side adjacent to the angle

Given θ = 17°, adjacent = AC = 783 meters, opposite = AB to be determined

\(\tan (17^\circ) = \dfrac{AB}{AC}\\\\AB = AC \cdot \tan(17^\circ)\\\\= 783 \cdot 0.30573\\\\= 239.387\; meters\\\\ANSWER (a)\\\\\\(b)\\Area = \dfrac{1}{2} \cdot b \cdot h\)

where b is the base, h is the height of the triangle

here

b = AC = 783 m

h = AB = 239.387 m

\(Area = \dfrac{1}{2} \cdot 783 \cdot 239.387 \\\\= 93720.0105\: m^2\)

Answer:

2.9 meters.

Step-by-step explanation:

First we multiply the length, 3.8, by the width, 1.5, to get the base, 5.7 (this step is not entirely necessary, but makes it much easier).  Then we divide the volume, 16.53, by the base, 5.7, to get the height, 2.9 meters.

Answer:

i think its 21.83 i may be wrong but im pretty sure its 21.83

Step-by-step explanation:

Answer:

1a (x + y)² = x² + 2xy + y²

1b. (x - y)² = x² - 2xy + y²

2. (x + y)² - (x - y)² = 4xy

3. 4² – 2² = 12

Step-by-step explanation:

1a. Expansion of (x + y)²

(x + y)² = (x + y)(x + y)

(x + y)² = x(x + y) + y(x + y)

(x + y)² = x² + xy + xy + y²

(x + y)² = x² + 2xy + y²

1b. Expansion of (x - y)²

(x - y)² = (x - y)(x - y)

(x - y)² = x(x - y) - y(x - y)

(x - y)² = x² - xy - xy + y²

(x - y)² = x² - 2xy + y²

2. Determination of (x + y)² - (x - y)²

This can be obtained as follow

(x + y)² = x² + 2xy + y²

(x - y)² = x² - 2xy + y²

(x + y)² - (x - y)² = x² + 2xy + y² - (x² - 2xy + y²)

= x² + 2xy + y² - x² + 2xy - y²

= x² - x² + 2xy + 2xy + y² - y²

= 2xy + 2xy

= 4xy

(x + y)² - (x - y)² = 4xy

3. Writing 12 as the difference of two perfect square.

To do this, we shall subtract 12 from a perfect square to obtain a number which has a perfect square root.

We'll begin by 4

4² – 12

16 – 12 = 4

Find the square root of 4

√4 = 2

4 has a square root of 2.

Thus,

4² – 12 = 4

4² – 12 = 2²

Rearrange

4² – 2² = 12

Therefore, 12 as a difference of two perfect square is 4² – 2²

True. Exception reports show a greater level of detail than is included in routine reports.

Exception reports are reports that help in identifying data that does not conform to expected patterns. Exception reports show information about an exception in the data set.

This helps to identify irregularities or anomalies in data or system operations.Exception reports are used to analyze system performance, monitor resource consumption, and to detect unusual activity.

This type of report is important to identify issues or errors, where the routine reports or standard reports would not provide enough detail or insight to do so.

It provides detailed information on any unusual event or anomaly that occurred beyond the usual course of events or processes.Exception reports are generated and distributed when the data is not expected or when an event occurs that is outside of what is considered typical.

For example, a financial system might generate an exception report if a transaction is entered that exceeds the maximum allowed amount. This report would show the details of the transaction and highlight the exception.

The purpose of exception reports is to provide users with a higher level of detail than they would find in routine reports. Exception reports are used to highlight significant data, which will be used for further analysis or action.

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Answer: coplanar

Since they are perpendicular to the same plane, they are considered coplanar.

(a) tangent line to the graph of f(x) = x^3 at the point (4,2).

(b) equation of the tangent line to the graph of f(x) = x^2 - x at the point (4,12).

(a) To find the equation of the tangent line to the graph of f(x) = x^3 at the point (4,2), we need to find the slope of the tangent line at that point. We can do this by taking the derivative of f(x) with respect to x and evaluating it at x = 4. The derivative of f(x) = x^3 is f'(x) = 3x^2. Evaluating f'(x) at x = 4 gives us the slope of the tangent line. Once we have the slope, we can use the point-slope form of a linear equation to write the equation of the tangent line.

(b) Similarly, to find the equation of the tangent line to the graph of f(x) = x^2 - x at the point (4,12), we differentiate f(x) to find the derivative f'(x). The derivative of f(x) = x^2 - x is f'(x) = 2x - 1. Evaluating f'(x) at x = 4 gives us the slope of the tangent line. Using the point-slope form, we can write the equation of the tangent line.

In both cases, the equations of the tangent lines will be in the form y = mx + b, where m is the slope and b is the y-intercept.

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Given:

3(4y + 4z - 9)​

Using distributive to write an equivalent expression,we have:

3*4y + 3*4z - 3*9

= 12y + 12z - 27

The equivalent expression is:

12y + 12z - 27

Coordinates of point B are (5x₂+6x₁)/11 and (5y₂+6y₁)/11

What is the section formula in coordinate geometry?

When the line segment is divided internally in the ratio m:n, we use this formula.  That is when point C lies somewhere between points A and B. p= (mx₂+nx₁)/(m+n) & q= (my₂+ny₁)/(m+n)

Given here,  point B on AC such that the ratio of AB to AC is 5:6

Let the point B(p,q) internally divide the line joining points A(x₁, y₁) and C(x₂, y₂) in the ratio m : n , then,

p= (mx₂+nx₁)/(m+n)

q= (my₂+ny₁)/(m+n)

Here. m=5 and n=6

p=(5x₂+6x₁)/11 , q=(5y₂+6y₁)/11

Hence, the Coordinates of point B are (5x₂+6x₁)/11 and (5y₂+6y₁)/11

I hope this helps <3

In the context of racial and ethnic relations, ethnocentrism refers to the tendency to regard one's own culture and group as the standard, and thus superior, whereas all other groups are seen as inferior. Ethnocentrism is a belief system rooted in the notion that one's own cultural practices, values, and beliefs are superior to those of others.

It often leads to prejudice, discrimination, and the marginalization of individuals or groups who do not conform to the dominant culture. This mindset can hinder intercultural understanding and perpetuate stereotypes and biases. Ethnocentrism can manifest in various ways, such as the imposition of cultural norms on others, the dismissal or devaluation of alternative perspectives, and the reinforcement of social hierarchies based on ethnicity or race. Overcoming ethnocentrism requires open-mindedness, empathy, and a willingness to learn and appreciate different cultures and perspectives. Promoting cultural diversity, inclusivity, and intercultural dialogue can help challenge ethnocentric attitudes and foster a more inclusive and equitable society.

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The acute angle is 40.40 degrees

The cosine of the angle is given as:

cos(x) = 0.7620

Take the arc cos of both sides

\(x = \cos^{-1}(0.7620)\)

Evaluate the arc cos

x = 40.359

Approximate

x = 40.40

Hence, the acute angle is 40.40 degrees

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Answer: 2

Step-by-step explanation:

The curve that passes through (4, 5) and has a slope of 3√x at each point is given by y = (\(2x^{3/2}\) + 5 -  2\((4)^{3/2}\)

To find the curve that passes through (4, 5) and has a slope of 3√x at each point, we can integrate the derivative of y with respect to x, which gives us the original function y(x):

\(\frac{dy}{dx}\) = 3√x

Integrating both sides with respect to x, we get:

y = (\(2x^{3/2}\)) + C

where C is a constant of integration.

We can use the point (4, 5) to solve for C:

5 = 2\((4)^{3/2}\) + C

C = 5 - 2\((4)^{3/2}\)

Substituting this value of C, we get the final equation for the curve:

y =  (\(2x^{3/2}\)) + 5 -  2\((4)^{3/2}\)

Therefore, The curve that passes through (4, 5) and has a slope of 3√x at each point is given by y = (\(2x^{3/2}\) + 5 -  2\((4)^{3/2}\)

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The resultant answer after solving the given inequality -6x > 66 is x > -11 respectively.

An inequality in mathematics is a relation that compares two numbers or other mathematical expressions in an unequal way.

The majority of the time, size comparisons between two numbers on the number line are made.

inequality, A declaration of an order relationship between two numbers or algebraic expressions, such as greater than, greater than, or equal to, less than, or less than or equal to.

So, we have the given inequality:

-6x > 66

Now, solve for x as follows:

-6x > 66

x > 66/-6

x > -11

Therefore, the resultant answer after solving the given inequality -6x > 66 is x > -11 respectively.

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The number of hours that the moving company uses is 12 hours.

The linear equation that represents the information in the question is:

Total amount = flat fee + (rate per hour x number of hours)

$120 = $24 + ($8 x t)

$120 = $24 + 8t

Where t is the number of hours

In order to determine the value of t, take the following steps:

Combine similar terms: $120 - $24 = 8t

Add similar terms: $96 = 8t

Divide both sides of the equation by 9

t = 96 / 8 = 12 hours

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Answer:

2pi

Step-by-step explanation:

Since the central angle is 360°, the arc in question here is the whole entire circle. It is the circumference. The circumference of a circle is:

C = pi•d

The radius is 1 unit. So the diameter is 2 units.

C = pi•2

C = 2pi

360° is the whole circle, so the arc is the whole circle. It is the circumference, 2pi

Answer:Student A

Step-by-step explanation:

1. -(3)

2.-19

20