What value of x is in the solution set of the inequality 9(2x 1) < 9x – 18? –4 –3 –2 –1

The equation used to find the distance of the flowerbed from the hive is called the "time equation".

The flowerbed is 900 feet far from the hive.

Find the traveling time

The bee spends 12 minutes hunting down the nectar in the flowerbed. Since it was away from the hive for a total of 16 minutes, the traveling time is

16min - 12min = 4 min

Convert the Minutes to seconds

1 minute = 60 seconds

4 minutes = 4*60 = 240 seconds

Find the time each way

The total time is 240 seconds, but it is not divided evenly.

Let the time there = t

Let the time back = 240 - t

The distances are the same

r = 10 m/s

r1 = 6 m/s

t1 = t

t2 = 240 - t

dthere = dback

d = rate * time

10 m/s *t = 6 m/s (240 - t)      

Remove the brackets on the right.

10 * t = 6*240 - 6t                

Combine the like terms on the right.

10t = 1440 - 6t                        

Add 4t to both sides

10t + 6t = 1440 - 6t + 6t          

Combine

16t = 1440                            

Divide both sides by 16

16t/16 = 1440/16                    

Do the division

t = 90                                    

Find the height

d = ?

r = 10 m/s

t = 90 second

d = r*t

d = 10 * 90 = 900 feet

The flowerbed is 900 feet far from the hive.

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The complete question is:

A babe flies at 10 feet per second directly to a flowerbed from its hive. the bee stays at the flowerbed for 12 minutes and then flies directly back to the hive at 6 feet per second. It is away from the hive for a total of 16 minutes.

What equation can you use to find the distance of the flowerbed from the hive?

The rate of change of the angle of elevation is -2π/3 radians/second.

We can use the tangent ratio to solve this problem. Since the rope is attached to the boat, we can draw a right triangle with the rope as the hypotenuse. The angle of elevation is the angle formed by the rope and the horizon.

The pulley is 5 feet above the water level, so the length of the opposite side (the side adjacent to the angle) is 5 feet. The length of the hypotenuse is 12 feet, since the boat is 12 feet from the dock.

Using the tangent ratio, we can calculate the angle of elevation:

tan(θ) = opp/hyp = 5/12

θ = arctan(5/12) = 0.927 rad

Now, since the rope is being pulled in at 3 ft/sec, the length of the hypotenuse is decreasing at a rate of 3 ft/sec. Therefore, the rate of change of the angle of elevation is:

rate of change of θ = -(3 ft/sec) / (12 ft) = -2π/3 radians/second

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In order to divide these polynomials, let's use the following property:

So we have:

The terms “spades” and “non-spades” have to be used to answer the question of how many possible 5-card hands from a standard 52 card deck would consist of the following cards. Let’s look at each card set separately.

(a) Two spades and three non-spades. There are 13 spades in the deck and there are 39 non-spade cards. To find out the number of 5-card hands consisting of two spades and three non-spades we use the following formula: ${13\choose2}{39\choose3}$This formula can be understood in the following way. There are ${13\choose2}$ ways to pick two spades from a set of thirteen. Similarly, there are ${39\choose3}$ ways to pick three non-spades from a set of 39. We use the multiplication rule because we need to calculate the total number of possible 5-card hands consisting of two spades and three non-spades. We get: ${13\choose2}{39\choose3} = 166,650$Therefore, there are 166,650 possible 5-card hands consisting of two spades and three non-spades.

(b) One face card and four non-face cards. There are 12 face cards in the deck and there are 40 non-face cards. To find out the number of 5-card hands consisting of one face card and four non-face cards we use the following formula: ${12\choose1}{40\choose4}$This formula can be understood in the following way. There are ${12\choose1}$ ways to pick one face card from a set of twelve. Similarly, there are ${40\choose4}$ ways to pick four non-face cards from a set of forty. We use the multiplication rule because we need to calculate the total number of possible 5-card hands consisting of one face card and four non-face cards. We get: ${12\choose1}{40\choose4} = 1,065,840$Therefore, there are 1,065,840 possible 5-card hands consisting of one face card and four non-face cards.

(c) One red card, two spades, and two clubs.
There are 26 red cards in the deck, 13 spades, and 13 clubs. To find out the number of 5-card hands consisting of one red card, two spades, and two clubs we use the following formula: $26{13\choose2}{13\choose2}$This formula can be understood in the following way. There are 26 ways to pick one red card from a set of twenty-six. Similarly, there are ${13\choose2}$ ways to pick two spades from a set of thirteen and ${13\choose2}$ ways to pick two clubs from a set of thirteen. We use the multiplication rule because we need to calculate the total number of possible 5-card hands consisting of one red card, two spades, and two clubs. We get: $26{13\choose2}{13\choose2} = 1,098,624$Therefore, there are 1,098,624 possible 5-card hands consisting of one red card, two spades, and two clubs. Answer:(a) There are 166,650 possible 5-card hands consisting of two spades and three non-spades.(b) There are 1,065,840 possible 5-card hands consisting of one face card and four non-face cards. (c) There are 1,098,624 possible 5-card hands consisting of one red card, two spades, and two clubs.

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SO you would have to first have the surface area of the cube which is 25 for each side so 25 x 6 = 150

Then you find the surface area for the other sides and It is 4 x 5 divided by two for each triangle on the side,  so that would be 20 and you multiply then 6.4 x 5 to equal 32 for the rectangle. The last part is the bottom and it is 4 x 5 again which is 20 so then you add them all up but im not sure.

The value of x will be; x = 4

An equation is an expression that shows the relationship between two or more numbers and variables.

A mathematical equation is a statement with two equal sides and an equal sign in between. An equation is, for instance, 4 + 6 = 10. Both 4 + 6 and 10 can be seen on the left and right sides of the equal sign, respectively.

We are given that the equation 6x-9 = 15

Here, we need to solve for x;

Add 9 to both sides

6x-9+9 = 15+9

6x = 24

x = 24/6

x = 4

Therefore, the solution will be as;

x = 4

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Answer:

Total monthly expenditure = Rs 115,500

Total savings = Rs 49,500

Step-by-step explanation:

Total salary = Rs 165000.

Food = 20%

= 20/100 × Rs 165,000

= 0.2 × 165,000

= Rs 33,000

House rent = 25%

= 25/100 × Rs 165,000

= 0.25 × 165,000

= Rs 41,250

Fuel = 10%

= 10/100 × Rs 165,000

= 0.1 × 165,000

= Rs 16,500

Miscellaneous = 15%

= 15/100 × Rs 165,000

= 0.15 × 165,000

= Rs 24,750

Total monthly expenditure = food + house rent + fuel + miscellaneous

= Rs 33,000 + Rs 41,250 + Rs 16,500 + Rs 24,750

= Rs 115,500

Total monthly expenditure = Rs 115,500

Total savings = Total salary - Total expenditure

= Rs 165,000 - Rs 115,500

= Rs 49,500

Total savings = Rs 49,500

The zeroes of polynomial are 43/5 and -3/4.

We have,

4 (3x-2)² -3 (3x-2) (x+5) - 7(x+5)²

simplifying the above expression we get

4 (9x² + 4 -12x ) -3 (3x² + 15x - 2x - 10) - 7(x² + 25 + 10x)

= 36x² - 48x + 16 - 9x² -39x + 30 - 7x² - 175 - 70x

= 20x² -157x -129

Now, solving the quadratic equation we get

x = 43/5 and x= -3/4

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The cost of direct labor per unit is $5.628 per apple.

To calculate the cost of direct labor per unit, we need to determine the total labor hours required to produce one unit of output and then multiply it by the wage rate.

Let's denote the labor hours required for the first resource as "L₁" and the labor hours required for the second resource as "L₂".

The first resource has a capacity of 2.1 apples per hour, and the demand is 1.6 apples per hour. Therefore, the labor hours required for the first resource per unit of output are:

L₁ = 1 apple / (2.1 apples/hour) = 0.4762 hours/apple (rounded to 4 decimal places)

The second resource has a capacity of 4.4 apples per hour, and the demand is 1.6 apples per hour. Therefore, the labor hours required for the second resource per unit of output are:

L₂ = 1 apple / (4.4 apples/hour) = 0.2273 hours/apple (rounded to 4 decimal places)

Now, let's calculate the total labor hours required per unit:

Total labor hours per unit = L₁ (first resource) + L₂ (second resource)

= 0.4762 hours/apple + 0.2273 hours/apple

= 0.7035 hours/apple (rounded to 4 decimal places)

Finally, to calculate the cost of direct labor per unit, we multiply the total labor hours per unit by the wage rate:

Cost of direct labor per unit = Total labor hours per unit * Wage rate

= 0.7035 hours/apple * $8/hour

= $5.628 per apple (rounded to 3 decimal places)

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The property illustrated in (2 + 1) + (6 + 5) = (6 +5) +(2 + 1) is the commutative property of addition

From the question, we have the following parameters that can be used in our computation:

(2 + 1) + (6 + 5) = (6 +5) +(2 + 1)

In the above expression, we can see that

The terms of the expression are swapped

This can be illustrated as

if a + b = b + a

The name of the property is the commutative property of addition

Hence, the name of the property illustrated in (2 + 1) + (6 + 5) = (6 +5) +(2 + 1) is the commutative property of addition

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Answer:

y=6x-5

Step-by-step explanation:

1) Use slope formula to find the slope.  Slope is 6

1a) Substitute (1,1) in the equation. -5

1b) y=6x-5

Hope this helps :-)

The statement that proves the congruency of the two triangles is (c) ASA

The given parameter is the two triangles in the figure

For the angles or the sides of the triangles to be congruent, the sides or the angles must be marked with the same identifier

Using the above as a guide,

Two corresponding angles in the triangles are marked with the same symbol

This is represented as AA i.e. Angle-Angle

Also, the triangles share a common side length

This is represented with S i.e. Side

This common side length is between the angles

So, we have

ASA i.e. Angle Side Angle

Hence, the congruency of the two triangles is by the ASA congruent theorem

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The antiderivative of the function is F(x) = 4x + 5x^3 + 3x^5 - 12.

To find the antiderivative F(x) for F′(x) = f(x) = 4 + 15x^2 + 15x^4, and given F(1) = 0, follow these steps,
1. Find the antiderivative of f(x) with respect to x:
F(x) = ∫(4 + 15x^2 + 15x^4) dx

2. Integrate each term separately:
F(x) = ∫4 dx + ∫15x^2 dx + ∫15x^4 dx

3. Calculate the antiderivatives:
F(x) = 4x + (15/3)x^3 + (15/5)x^5 + C

4. Simplify:
F(x) = 4x + 5x^3 + 3x^5 + C

5. Use the given condition F(1) = 0 to find the value of C:
0 = 4(1) + 5(1)^3 + 3(1)^5 + C

6. Solve for C:
C = -12

7. Substitute the value of C back into F(x):
F(x) = 4x + 5x^3 + 3x^5 - 12

The antiderivative is F(x) = 4x + 5x + 3x - 12 as a result.

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The statement "secondary data should be gathered first because this type of information is less expensive to obtain" is actually false because it has already been collected, there are some important factors to consider.

Primary data is data that is collected specifically for the purpose of the research project at hand. This type of data can include surveys, interviews, experiments, and observations. On the other hand, secondary data is data that has already been collected by someone else for a different purpose.

Firstly, it's important to consider the quality of the data. Secondary data may not always be reliable or up-to-date, which could impact the accuracy of your research findings. In some cases, you may need to spend time and resources verifying the accuracy of the secondary data, which could end up being more expensive in the long run.

Additionally, it's important to consider the specific needs of your research project. Depending on your research question, primary data may be necessary to obtain the specific information you need. In other cases, secondary data may be sufficient.

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Answer:

The rectangle is 13 1/3 ft x 34 2/3 ft

Step-by-step explanation:

w = width & l = length

Length = 2w + 8

Solve for w.

96 = 2(w + 2w + 8)

Simplyfiy

96 = 2(3w + 8)

3w + 8 = 48

3w = 40

width = 13 1/3

 length = 2(13 1/3) + 8 = 34 2/3 ft

Good luck, i hope this helps :)

Answer:

12

Step-by-step explanation:  18x 12= 216     and 54x4 = 216

Answer:

Solution given:

x^3 - 2x^2 -x+2

take common from two each term

x²(x-2)-1(x-2)

take common again and keep left one on other bracket

(x-2)(x²-1) or (x-1)(x+1)(x-2) is a required answer.

note:using formula a²-b²=(a+b)(a-b) for x²-1.

Answer:

\((x - 1)(x + 1)(x - 2)\)

Step-by-step explanation:

\(x^3 - 2x^2 - x + 2\)

\(=> x^2(x - 2) -1(x - 2)\)

\(=> (x - 2)(x^2 - 1)\)

\(=> (x - 2)(x + 1)(x - 1)\)

Answer: y= -3x -1

you should calculate the gradient of the line using the points shown in the question (-1, 2) and (1, -4)

Gradient formula: \(m = \frac{y2-y1}{x2-x1}\) (next you should substitute the values from

                                                  the points)

                                \(m= \frac{2-(-4)}{-1-1} \\m=-3\)  

Multiply the numerator and denominator by the conjugate.

Exact Form:

−10−5√3

Decimal Form:

−18.66025403...

The experimental probability that the number rolled was odd is

23 over 60.

What is experimental probability?

Actual experiments and sufficient documentation of the occurrence of occurrences serve as the foundation for experimental probability, sometimes referred to as empirical probability. A trial is a repeating of an experiment that is performed a certain number of times.

We are given a table showing he frequency of each number rolled.

We know that the odd number outcomes are 1, 3 and 5.

So,

P (x = 1) = 8/60

P (x = 3) = 6/60

P (x = 5) = 9/60

So, the experimental probability that the number rolled was odd is

⇒P ( x is odd) = P (x = 1) + P (x = 3) + P (x = 5)

⇒P ( x is odd) = 8/60 + 6/60 + 9/60

⇒P ( x is odd) = 23/60

Hence, the experimental probability that the number rolled was odd is 23 over 60.

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According to the given information, the sample period should be from 2010-2020.

a) Model specification

The model specification based on the scenario above is as follows:

SDF= f(T, TI, NL)

Where: SDF= Sustainable Development Framework

T= Tourism

TI= Technological innovation

NL= National leadership

b) Justification for the selection of the dependent and independent variables model:

Dependent variable: The dependent variable in this model is Sustainable Development Framework (SDF). The model seeks to develop a framework for sustainable development that would facilitate growth, environmental and socio-cultural sustainability.

Independent variables:

The independent variables are tourism sustainability, technological innovation, and quality of leadership. These variables drive economic development. The inclusion of tourism sustainability reflects its importance in the global economy and its potential to drive growth.

The inclusion of technological innovation reflects its potential to enhance productivity and create new industries. The inclusion of national leadership reflects the role of governance in promoting sustainable development and managing negative externalities.

c) Justification for the selection of the sample period:

The sample period should be selected based on the availability of data for the variables of interest. Ideally, the period should be long enough to capture trends and patterns in the data. However, it should not be too long that the data becomes obsolete or no longer relevant.

Additionally, the period should also reflect the context and relevance of the research question. Therefore, the sample period for this study should cover the last decade to capture the trends and patterns in the data and reflect the relevance of the research question.

The sample period should be from 2010-2020.

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Answer:

Since BD bisects Angle ABC, Angle ABD = Angle DBC

\(3x+6=7x-18\)

Subtract 6 from both sides:

\(3x+6-6=7x-18-6\)

\(3x=7x-24\)

Subtract 7x from both sides:

\(3x-7x=7x-24-7x\)

\(-4x=-24\)

Divide both sides by -4:

\(\frac{-4x}{-4}=\frac{-24}{-4}\)

\(x=6\)

Angle \(ABD=3x+6=3(6)+6=18+6=24\)

Angle \(CBD=7x-18=7(6)-18=42-18=24\)

Angle \(ABC=ABD+CBD=24+24=48\)

Answer:

m<ABD= 6

m<CBD= -18

m<ABC= -108

Step-by-step explanation:

Answer:

x=2/11 + (1/11) (√15) or 2/11 - (1/11) (√15)

Step-by-step explanation:

Plug it into the quadratic formula

The values of x are 9/11 and -5/11.

An equation contains one or more terms with variables connected by an equal sign.

Example:

2x + 4y = 9 is an equation.

2x = 8 is an equation.

We have,

To use the quadratic formula to solve 11x² - 4x = 1.

We first need to rewrite the equation in the form ax² + bx + c = 0.

So,

11x² - 4x - 1 = 0

Now,

We can use the quadratic formula, which states that the solutions for the equation ax² + bx + c = 0.

x = (-b ± √(b² - 4ac)) / 2a

Now,

In our case,

a = 11, b = -4, and c = -1.

Substituting these values into the formula, we get:

x = (-(-4) ± √((-4)² - 4(11)(-1))) / 2(11)

x = (4 ± √(196)) / 22

x = (4 ± 14) / 22

So,

The solutions for the equation 11x² - 4x = 1

x = (4 + 14) / 22 = 9/11

x = (4 - 14) / 22 = -5/11

Therefore,

The values of x are 9/11 and -5/11.

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Answer:

the 3rd one

Step-by-step explanation:

Answer: 3rd one

Step-by-step explanation:

The amount of trace element has Fwam collected is,

⇒ Trace element = 30.9 grams.

Now, We can use the formula for volume of a cylinder.

Volume of a cylinder = πr²h

Here, We have;

Radius = 6.4 cm

And, Height (h) = 20 cm

π = 3.14

Substitute all the values, we get;

Volume = 3.14 x 6.4² x 20

Volume = 3.14 x 40.96 x 20

Volume = 2572.3 cm³

Hence, We get;

Trace elements = 2572.3 x 0.012

Trace elements = 47.51960448

Trace element = 30.9 grams.

Thus, The amount of trace element has Fwam collected is,

⇒ Trace element = 30.9 grams.

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Answer:

Below

Step-by-step explanation:

0.3>0.25

0.35<0.4

0.05<0.1

If the average annual stock return is 11. 3%, the average holds a portfolio of $8600 worth 30 years.

It's the ratio of two integers stated as a fraction of a hundred parts. It is a metric for comparing two sets of data, and it is expressed as a percentage using the percent symbol.

The usage of percentages is widespread and diverse. For instance, numerous data in the media, bank interest rates, retail discounts, and inflation rates are all reported as percentages. For comprehending the financial elements of daily life, percentages are crucial.

It is given that, the average annual stock return is 11. 3% and you begin your investment portfolio with $2,000,

Suppose the amount he earns in one year is x,

x=  11. 3%. of $2,000

x=220

The portfolio be worth 30 years if the average holds are,

=220 × 30

=$ 6600

The net cost is the sum of the return and the initial investment,

=$ 6600 + $ 2000

=$8600

Thus, if the average annual stock return is 11. 3%, the average holds a portfolio of $8600 worth 30 years.

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The volume of the triangular prism is 216 cubic meters.

To find the volume of a triangular prism, we need to multiply the area of the triangular base by the length of the prism.

Calculate the area of the triangular base.

The base of the triangular face is given as 8 meters, and the height is 9 meters. We can use the formula for the area of a triangle: area = (1/2) * base * height.

Plugging in the values, we get:

Area = (1/2) * 8 meters * 9 meters = 36 square meters.

Multiply the area of the base by the length of the prism.

The length of the prism is given as 12 meters.

Volume = area of base * length of prism = 36 square meters * 12 meters = 432 cubic meters.

Adjust for the shape of the prism.

Since the prism is a triangular prism, we need to divide the volume by 2.

Adjusted Volume = (1/2) * 432 cubic meters = 216 cubic meters.

Therefore, the volume of the triangular prism is 216 cubic meters.

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