What is the value of x in the equation 3 minus 2 x = negative 1.5 x? –6 –2 2 6

Hi there!  

»»————-　★　————-««

I believe your answer is:  

\(\huge\boxed{2\sqrt{3}}\)

»»————-　★　————-««  

Here’s why:  

\(\boxed{\text{Simplifying the square root of 12}}\\\\\rightarrow\sqrt{12}\\\\\text{4 can be factored out of 12.}\\\\\rightarrow\sqrt{4(3)}\\\\\text{Two '2's can be factored out of 4.}\\\\\rightarrow\sqrt{2*2*3}\\\\\rightarrow\sqrt{2^2(3)}\\\\\text{Pulling out the terms from under the radical...}\\\\\rightarrow\boxed{2\sqrt{3}}\)

»»————-　★　————-««  

Hope this helps you. I apologize if it’s incorrect.  

The slope factor of safety is 0.0045.

If the factor of safety for this circle is the lowest among all potential failure surfaces, then it is the critical circle.

To calculate the slope factor of safety for the circular arc trial failure plane, we need to perform a stability analysis using the basic method.

The factor of safety (FS) is given by the ratio of resisting forces to driving forces. In this case, the resisting force is the shear strength of the soil, while the driving force is the weight of the failure mass.

First, let's calculate the resisting force:

Resisting Force (R) = Cohesion (c) + (Effective Stress (σ) x tan(φ))

Effective Stress (σ) = γh

Where:

γ = unit weight of soil

h = vertical height of the slope

φ = angle of internal friction

γ = 16.5 kN/m³

h = 20 m

φ = 0° (for clay)

Effective Stress (σ) = 16.5 kN/m³ x 20 m

= 330 kN/m²

Resisting Force (R) = 45 kN/m² + (330 kN/m² x tan(0°))

= 45 kN/m²

Next, let's calculate the driving force:

Driving Force (D) = Weight of the Failure Mass

Weight of the Failure Mass = 9,900 kN/m

Now, we can calculate the slope factor of safety:

FS = R / D

FS = 45 kN/m² / 9,900 kN/m

= 0.0045

b) To determine if this circle is the critical circle, we need to compare the factor of safety for this circle with the factor of safety for other potential failure surfaces in the slope. If the factor of safety for this circle is the lowest among all potential failure surfaces, then it is the critical circle.

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The statement "If x = [4,3,2,1,1,2,6], the remove_duplicates(x) returns the sorted list [1,2,3,4,6]" is incorrect.

The remove_duplicates function should remove duplicate elements from the list x and return a new list with the duplicates removed, but it does not guarantee that the returned list will be sorted.

If we apply the remove_duplicates function to the list x = [4,3,2,1,1,2,6], the expected output should be [4, 3, 2, 1, 6]. The duplicates, which are the repeated elements 1 and 2, are removed from the list, but the resulting list is not sorted.

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Answer:

not a polygon

Step-by-step explanation:

The given figure is not a polygon.

A polygon is a closed plane figure formed by three or more line segments that meet at points called vertices.

Given is figure,

We know that, a polygon is made up of straight lines connected with each other in a close circuit.

Here, in the figure, there is no polygon, but two polygons joined by a vertex.

Hence, we can say that the given figure is not a polygon.

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The net outward flux across the boundary of the tetrahedron is: 5, using the concept of gradient of function.

The gradient of a function is related to a vector field and it is derived by using the vector operator ∇ to the scalar function f(x, y, z).

Given vector field:

F = ( -x, 3y, 2 z )

Δ . F = (i δ/δx + j δ/δy + k δ/δz) (-x, 3y, 2 z )

Δ . F = [δ/δx(-x)] + δ/δy (3y) + δ/δz (2z)]

Δ . F = - 1 + 3 + 2

Δ . F = 4

According to divergence theorem;

Flux =  ∫∫∫ Δ . (F) dv

x+y+z = 1; so, 1st octant

∫₀¹∫₀¹⁻ˣ∫₀¹⁻ˣ⁻y (4) dz dy dx

= 4 ∫₀¹∫₀¹⁻ˣ (1 - x - y) dy dx

= 5

Therefore, we can conclude that the net outward flux across the boundary of the tetrahedron is: 5

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Answer:

1.) men: 1800, women: 3000

2.)2275/65 = 35 mins

3.)P 2,175,000

4.) 5400 in 6 mins

5.) Probably 5?

6.) P 120 000

Step-by-step explanation:

Answer:

$25.20

Step-by-step explanation:

This is the answer because:

1) 10 + 10 + 5 = 25

2) Next, dimes are equal to 0.10

25 + 0.10 + 0.10 = 25.20

Hope this helps! :D

Answer:

9/11

Step-by-step explanation:

Answer: 44

Step-by-step explanation:

since the inscribed angle is half of true arc measure, (3x+10)= 2(2x-17).

when you work this out, you get 44 as x.

The value of x from the given figure is 44°. Therefore, option B is the correct answer.

The angle subtended by an arc at the center is twice the angle subtended at the circumference . More simply, the angle at the center is double the angle at the circumference.

From the given figure,

Angle at circumference is (2x-17)° and angle at center is (3x+10)°.

Now, (3x+10)°=2(2x-17)°

3x+10=4x-34

4x-3x=10+34

x=44°

Therefore, option B is the correct answer.

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The probability that a randomly selected makeup item from her bag will be an eye shadow is 1/5 or 20%.

The probability of selecting an eye shadow from Gabby's bag can be calculated by dividing the number of eye shadows in the bag by the total number of cosmetics in the bag.

There are 4 eye shadows in Gabby's bag, and a total of 20 cosmetics. Therefore, the probability of selecting an eye shadow is:

P(eye shadow) = 4/20 = 1/5

This means that there is a 1 in 5 chance, or a 20% chance, that a randomly selected makeup item from Gabby's bag will be an eye shadow.

The probability can be expressed as a fraction or a whole number, depending on the context of the problem. In this case, we can express the probability as the fraction 1/5, which means that out of 20 possible cosmetics, only 4 are eye shadows.

We can also express the probability as the whole number 0.2 or 20%, which represents the proportion of eye shadows in Gabby's bag.

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Answer:

36

Step-by-step explanation:

9 × 4 = 36

Answer: (x + 9)^2 = x^2 + 18x + 18

Step-by-step explanation:

A neat trick that can help you get this answer is the box method, Draw a box with 4 smaller boxes in it. Then on the right of the box, but the first box(outside on the right) x, bottom from there, but 9. At the top of the box(first square) put x again and beside it, another 9, we do this because when a variable is with a constant inside parentheses, they can't combine, so you do what's outside the parentheses, in this case its the exponent of 2. Then we do the math, x + x is x squared, x * 9 is 9x(when you multiply a variable and constant,  you can combine those), 9 + 9 is 18, then you should get x^2 + 9x + 9x + 18, next you combine "Like Terms"(same values). They only Like Terms here would be 9x and 9x, when combining Like Terms, you must only add, don't multiply, 9x + 9x would be 18x. Then you got quadratic to standard.

(x + 9)^2   ---)   x^2 + 18x + 18.

The carbon cycle is a natural process that involves the movement of carbon atoms between the atmosphere, organisms, rocks, sediments, and the ocean.

The carbon cycle is a crucial process for maintaining the balance of carbon in the Earth's ecosystems. Carbon dioxide (CO2) is taken up by plants during photosynthesis, converting it into organic carbon compounds that are stored in plant tissues. When plants die and decompose, or when animals respire or decompose, carbon is released back into the atmosphere as CO2. Additionally, carbon can be stored in rocks and sediments over long periods of time.

Deforestation, the clearing of forests on a large scale, can significantly disrupt the carbon cycle. When forests are cut down, the stored carbon in trees and vegetation is released into the atmosphere as CO2 through the process of decomposition or burning. This contributes to increased greenhouse gas emissions and can contribute to climate change.

Furthermore, deforestation reduces the number of trees available to absorb CO2 through photosynthesis, leading to decreased carbon uptake from the atmosphere. The loss of forests also means the loss of carbon sinks, as trees are natural carbon storage systems. Without these sinks, more carbon remains in the atmosphere, further exacerbating the greenhouse effect.

In addition to these changes, deforestation can also impact the water cycle, which in turn affects the carbon cycle. Trees play a vital role in regulating water flow and moisture levels in ecosystems. When forests are removed, there is a higher risk of soil erosion and decreased water retention. These changes can affect the growth and survival of plants, ultimately impacting carbon uptake and storage.

In summary, deforestation disrupts the carbon cycle by releasing stored carbon into the atmosphere, reducing carbon uptake, and altering carbon storage patterns. These changes contribute to increased greenhouse gas emissions, climate change, and overall environmental imbalance.

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Answer: Choice C)  {6, 9, 12}

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

Explanation:

Something like choice A can't form a triangle because the first two sides add to 6+9 = 15, which is not longer than the third side 15. We need to have x+y > z to be true. The same goes for choice B as well because 3+3 = 6 is too small compared to the third side 7. Choice D is similar to choice A.

In short, we can rule out choices A, B, and D.

The only thing left is choice C. Picking any two sides leads to having that sum be larger than the third side

So the conditions of the triangle inequality theorem work out here, and we have a triangle.

The graph that shows that y varies directly as x in the options is option A.

A graph is the pictorial representation of data. When two variable vary directly, as one variable increases, the other variable also increases. When shown on a graph, the graph would be upward sloping.

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The probability that a student chosen at random will play the bass is 12/43.

What is probability?

Probability is a branch of mathematics that deals with the study of random events or experiments. It is a measure of the likelihood or chance of an event occurring, expressed as a number between 0 and 1. An event with a probability of 0 means it is impossible, while an event with a probability of 1 means it is certain to occur. Probabilities between 0 and 1 indicate the degree of uncertainty of the event occurring.

To find the probability that a student chosen at random will play the bass, we need to find the total number of students who play the bass and divide it by the total number of students in the middle school School of Rock.

The total number of students who play the bass is the sum of the number of seventh-grade students who play bass and the number of eighth-grade students who play bass:

Total number of bass players = 14 + 10 = 24

The total number of students in the middle school School of Rock is the sum of the number of seventh-grade students and the number of eighth-grade students:

Total number of students = 12 + 14 + 9 + 5 + 10 + 36 = 86

Therefore, the probability that a student chosen at random will play the bass is:

P(bass) = Total number of bass players / Total number of students = 24/86

To simplify this fraction, we can divide both the numerator and denominator by 2:

P(bass) = (24/2) / (86/2) = 12/43

Therefore, the probability that a student chosen at random will play the bass is 12/43.

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Answer:

1)

4(x+3)+4x=28

Solve

4x+12+4x=28

Combine

8x+12=28

Isolate

8x=16

Isolate

x=2

Substitute

4(2+3)=20

4*2=8

Now find each side

20/4=5

8/4=2

So one side is 5

Other side is 2

The amount of yellow paint Curt and Melanie should use is 0.45 quarts so that they can make 1.5 quarts bucket of seafoam green paint.We can use per cent equation.

Given that to make 1.5 quarts bucket of seafoam green paint Curt and Melanie have to mix 70 parts blue paint and 30 parts yellow paint.If 100 percent represent total paint then for 1.5 quarts we have to find the proportion of yellow paint.Let it be x.

30%  / 100% =30 / 100 = x / 1.5 quarts.

We can reduce the equation further,

0.3  = x / 1.5.

0.3 * 1.5 = x

x = 0.45

We can also find blue paint proportion similar by substituting 30 per cent to 70 per cent.

As a result of our calculation, we found the amount of yellow paint to be 0.45 quarts.

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The largest value that f(4) can possibly be is 29.

The mean value theorem states that for a function f(x) that is continuous on the closed interval [a, b] and differentiable on the open interval (a, b), there exists a number c in the open interval (a, b) such that:

f(b) - f(a) = f'(c)(b - a)

In this case, we are given that f(0) = -3 and that f'(x) ≤ 8 for all values of x. To determine how large f(4) can possibly be, we can use the mean value theorem with a = 0 and b = 4:

f(4) - f(0) = f'(c)(4 - 0)

Substituting the given values:

f(4) - (-3) = f'(c)(4)

f(4) + 3 = 4f'(c)

Since f'(x) ≤ 8 for all values of x, we can say that f'(c) ≤ 8. Therefore:

f(4) + 3 ≤ 4f'(c) ≤ 4(8) = 32

Therefore, we have:

f(4) ≤ 32 - 3 = 29

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The set of parameters that would give you the highest position within the class with a score of x = 75 is option (C) μ = 60 and σ = 5 is the correct answer.

In this question,

A z-score tells us how many standard deviations away a value is from the mean. A positive z-score indicates the raw score is higher than the mean average. A negative z-score reveals the raw score is below the mean average.

According to the Percentile to z-score calculator, the z-score that corresponds to the 90th percentile is 1.2816. Thus, any student who receives a z-score greater than 1.2816 would be considered a “good” z-score.

The z-score can be calculated as

z-score = \(\frac{x-\mu}{\sigma}\)

On substituting the above options of μ and σ with the score of x = 75,

a) μ = 70 and σ = 5,

z-score = \(\frac{75-70}{5}\)

⇒ \(\frac{5}{5}\) = 1

b) μ = 70 and σ = 10,

z-score = \(\frac{75-70}{10}\)

⇒ \(\frac{5}{10}\) = 0.5

c) μ = 60 and σ = 5,

z-score = \(\frac{75-60}{5}\)

⇒ \(\frac{15}{5}\) = 3

d) μ = 60 and σ = 10

z-score = \(\frac{75-60}{10}\)

⇒ \(\frac{15}{10}\) = 1.5

Thus the z-score 3, is the higher value. 99% have a z-score between -3 and 3. Therefore, the set of parameters that would give you the highest position within the class with a score of x = 75 is option (C) μ = 60 and σ = 5 is the correct answer.

The complete question is as follows,

If you have a score of x = 75 on an exam, which set of parameters would give you the highest position within the class?

The options for this question are a) μ = 70 and σ = 5, b) μ = 70 and σ = 10, c) μ = 60 and σ = 5, d) μ = 60 and σ = 10.

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The features of the ball modeled by the quadratic function are given as follows:

The height of the ball after t seconds is given by the equation presented as follows:

h(t) = -0.2t² + 2t.

The coefficients of the quadratic equation are given as follows:

a = -0.2, b = 2.

Hence the t-coordinate of the vertex, representing the time of the maximum height, is given as follows:

t = -b/2a

t = 2/0.4

t = 5 seconds.

The maximum height is then given as follows:

h(5) = -0.2(5)² + 2(5)

h(5) = 5 feet.

The time to reach the ground is obtained as follows:

-0.2t² + 2t = 0

0.2t² - 2t = 0

0.2t(t - 10) = 0.

Hence:

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Answer:

yeah draw a big marble that contains each color of these marbles , 3 blue ,4 green , 5 red. try it!

Using graphical method to solve the system of linear inequalities, the solution are (x, y) 3, 13.

A system of linear inequalities in two variables consists of at least two linear inequalities in the same variables. The solution of a linear inequality is the ordered pair that is a solution to all inequalities in the system and the graph of the linear inequality is the graph of all solutions of the system.

To solve this, we can write out the equations as

x + y ≤ 16 ...eq(i)

650x + 150y ≥ 3900 ...eq(ii)

Solving both equations with a graph.

Kindly find the attached graph to the problem.

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The monthly payment for a bank loan assuming a one-year repayment period and 13.5% interest is To calculate the monthly payment for a bank loan, we can use the formula:

Monthly payment = Total cost / Number of months

Given that the total cost is $1,800 and the repayment period is one year (12 months), we can substitute these values into the formula:

Monthly payment = $1,800 / 12 = $

Now, let's calculate the total cost for the bank loan:

Total cost = Monthly payment * Number of months

Total cost = $ * 12 = $

For the add-on method of interest calculation with a one-year repayment period and 11.5% interest, the monthly payment is $ (main answer).
The add-on method of interest calculation involves adding the interest to the principal amount and then dividing it by the number of months.

Given that the total cost is $1,800 and the repayment period is one year (12 months), we can calculate the interest as follows:

Interest = Total cost * Interest rate

Interest = $1,800 * 11.5% = $

Now, let's calculate the new principal amount:

New principal amount = Total cost + Interest

New principal amount = $1,800 + $ = $

Finally, we can calculate the monthly payment:

Monthly payment = New principal amount / Number of months

Monthly payment = $ / 12 = $

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Answer:

the answer is 4,700

Step-by-step explanation:

Answer:

215

Step-by-step explanation:

no lo sé, pero como necesito puntos, ¿sí?

Answer:

Vocal music is music that uses and emphasizes the human voice. ... Vocal music is the opposite of instrumental music, which uses any combination of instruments, such as strings, woodwinds, brass, or percussion, usually without the human voice