What is the answer ?

Answer:

12\(\sqrt{x}\)

Step-by-step explanation:

(144x)^1/2

(ab) ^ 1/2 = a^1/2 b^1/2

144 ^ 1/2  x^1/2

12 x^1/2

In radical form

12\(\sqrt{x}\)

Answer:X is 912

Step-by-step explanation:

What? You just said it

Answer:

\((a + 5) \times = 10b \\ \times = \frac{10b}{a + 5} \)

Answer:

 The quotient is x² + 6x +3

       Remainder  = -1      

 Step-by-step explanation:

Explanation:-

Given Polynomial equation

   f(x) = x³+5x²−9x−7

By using synthetic division

  x = 2           1       5       -9      -7

                      0       1       12     6

                  1      6         3     -1          

 The quotient is x² + 6x +3

       Remainder  = -1      

Answer: 1/3

the first answer choice

Step-by-step explanation:

Rate of increase is approximately 33%

Answer: 1/3

1st option

Step-by-step explanation:

The theoretical probability for the 1 horned, 1 eyed,  flying, people eater purple is found to be 1/120.

Experimental Probability: Based on actual results rather than mathematical calculations, the experimental probability of an occurrence is the likelihood that the event will actually occur.

Theoretical Probability: Considering that the event is ideal, the theoretical chance that it will occur is the theoretically ideal probability of a specific result. The flaws in the system are not taken into consideration by theoretical probability.

Theoretical Probability = Number of favorable outcomes / Number of possible outcomes.

The given probability are;

Let P(E)  be the theoretical probability  1 horned, 1 eyed,  flying, people eater purple.

Then,

P(E) =  3/4 * 1/5* 2/3* 3/8* 1/2

P(E) =  1/120

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The number of possible ways in which we can select 3 elements from 7 elements are  given in option d. 35.

There are a total of 7 elements and we can to select 3 elements out of them.

We have to apply the permutation and combination here in order to find the answer,

The formula is ⁿCₐ

Where, C represents combination,

n is the total number of combination,

a is the number of selections that we have to do,

ⁿCₐ = n!/(n-a)!a!

Now, putting n = 7 and a = 3,

ⁿCₐ = 7!/(4)!3!

ⁿCₐ = 35

So, the total number of ways possible are 35.

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Answer:

10 is the hypotenuse

Step-by-step explanation:

a² + b² = c²

Given:

a = 8

b = 6

Work:

a² + b² = c²

8² + 6² = c²

64 + 36 = c²

100 = c²

\(\sqrt{c^2} =\sqrt{100}\)

c = 10

Step-by-step explanation:

hope it is helpful to you

When E is the region bounded by the spheres then the answer to the triple integral is -π/2 (e⁻¹ - e⁻¹⁶)

To evaluate the triple integral using spherical coordinates, we need to express the volume element dV in terms of spherical coordinates and determine the limits of integration.

In spherical coordinates, the volume element dV is given by:

dV = ρ² sin(φ) dρ dφ dθ

where ρ represents the radial distance, φ represents the polar angle (measured from the positive z-axis), and θ represents the azimuthal angle (measured from the positive x-axis in the xy-plane).

The given region E is bounded by the spheres x² + y² + z² = 1 and x² + y² + z² = 16. These can be expressed in terms of ρ as:

1 ≤ ρ ≤ 4

To determine the limits of integration for φ and θ, we consider the spherical symmetry of the problem. Since the region is bounded by spheres, the limits for both φ and θ will be the full range of [0, π] and [0, 2π], respectively.

Now, let's evaluate the triple integral:

∭E e(-x² - y² - z²) / √(x² + y² + z²) dV

= ∫₀²π ∫₀ᴨ ∫₁⁴ e(-ρ²) / ρ ρ² sin(φ) dρ dφ dθ

= ∫₀²π ∫₀ᴨ ∫₁⁴ e(-ρ²) ρ sin(φ) dρ dφ dθ

Since the integrand does not depend on θ, we can simplify the triple integral:

= ∫₀²π ∫₀ᴨ [-e(-ρ²) cos(φ)]₁⁴ sin(φ) dφ dθ

= ∫₀²π [-e(-ρ²) cos(φ) sin(φ)]₁⁴ dθ

= ∫₀²π [-e(-ρ²) / 4] dθ

= -e(-ρ²) / 4 [θ]₀²π

= -e(-ρ²) / 4 (2π - 0)

= -π/2 (e(-ρ²))

Now, we need to evaluate this expression within the limits of ρ:

= -π/2 ∫₁⁴ e(-ρ²) dρ

To solve this integral, we can use the substitution u = -ρ², which gives du = -2ρ dρ. The limits of integration transform accordingly:

u = -1, u = -16

∫ eu du = eu [u]_{-1}{-16} = e⁻¹ - e⁻¹⁶

Please note that the above expression represents the numerical value of the triple integral.

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Answer:

2341

Step-by-step explanation:

(π²/4) = 2.465

(π²/8) = 1.234

√2 = 1.414

√3 = 1.732

1. Least - Greatest

(π²/8), √2, √3, (π²/4)

2. Write as quantities

2, 3, 4, 1

3. Answer

2341

I hope this helps!

Answer:

you would multiply 2 * 4.87 and then add that to 9.74 and then you do that to everyone and then one of them will get you your answer and I am not sure about the answer but I think its b

Step-by-step explanation:

Answer:

The value of the coin when Consuelo originally purchased it is $9.74 ⇒ C

Step-by-step explanation:

The form of the linear equation is;

y = m x + b, where

m is the slope of the line (The rate)

b is the y-intercept (initial amount, value y at x = 0)

∵ The value of a collectible coin can be represented by the equation

  y = 2 x + 9.74

→ Compare it with the form of the linear equation above

∴ m = 2

∴ b = 9.74

∵ x represents the number of years that Consuelo has owned the coin

∵ y represents the total value, in dollars, of the coin

→ That means the value of y at x = 0 is the value of the coin when

  Consuelo originally purchased it

∵ b represents the value of y at x = 0

∵ b = 9.74

∴ The value of the coin when Consuelo originally purchased it is $9.74

A 3x3 matrix's must first be calculated in order to determine the eigenvectors and eigenvalues of the matrix, using the quadratic formula, get the eigenvalues, determine the associated eigenvectors.

A 3x3 matrix's determinant must first be calculated in order to determine the eigenvectors and eigenvalues of the matrix. This may be accomplished by applying the expansion on eigenvalues may then be determined by using the quadratic formula to the eigenvalue equation. , the newly obtained eigenvalues may be used to solve the system of equations derived from the eigenvalue equation in order to get the associated eigenvectors. After the eigenvectors have been identified, they may be to the matrix's eigenvalues. You may eigenvalues and eigenvectors. To the matrix's structure and identify its distinctive equation, eigenvectors and eigenvalues. The solutions to a system of equations as well as the stability of the system may be found using eigenvectors and eigenvalues.

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The first car will travel for 38.2 hours and the second car will travel for 38 hours before they are 200 miles apart.

Let x = time in hours for the first car and y = time in hours for the second car. Since the two cars are traveling in opposite directions, we know that the rate of the cars' combined travel is the difference between their two rates. So, we can create the expression:

50x - 55y = 200

We can also create a second expression using the amount of time that passed between the two cars:

x - y = 0.25

We can solve this system of equations with substitution. Let's substitute the second equation into the first:

50x - 55(x - 0.25) = 200

Simplifying, we have:

5.25x = 200.25

Now, we can isolate x:

x = 200.25/5.25 ≈ 38.2 hours

We can use this value to find y. We know that x - y = 0.25, so we have:

y = x - 0.25 = 38.2 - 0.25 = 38 hours

Therefore, the first car will travel for 38.2 hours and the second car will travel for 38 hours before they are 200 miles apart.

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£36

20+25=45          Take away 13 and it's 32.   32+4 (the shipping charge) is 36. So Ruth pays 36 pounds.

Answer:

3:17

Step-by-step explanation:

I did the math on my paper and converted into minutes and hours

Answer: 3:17 PM

Step-by-step explanation: The little hand shows the hour, and the big hand shows the minute. The time on the clock reads 7:52 AM. Add 7 hours and the time will read 2:52 PM. Then add 35 minutes and the time will read 3:17. If you are struggling with adding, remember that 1 hour = 60 minutes.

Tips for reading time:

Each number on the clock x5 equals that placement in minutes. Ex: When the big hand lands on the number 1, it is five minutes past the hour.

Every small increment between the big numbers is equal to just a minute.

The small hand on the clock moves past the number it represents as the time gets closer to the new hour. Ex: The clock in the image represents 7 but is closer to eight because it is almost the new hour.

Anything past 11:59 AM is labeled PM. AM means before midday (11:59 AM - 12 PM) and PM means after midday (12 PM - 11:59 PM)

Answer:

2x/7=3

Step-by-step explanation:

That is 2x divided by 7 and 7=3

i hope this helps

The degrees of freedom associated with a pooled-variance two-sample t-test or confidence interval in the given case would be 48.

When a pooled-variance two-sample t-test or confidence interval is to be conducted on two groups, the degrees of freedom is calculated using the following formula: df = n1 + n2 - 2, where n1 and n2 are the sample sizes of the two groups being compared.

In the given scenario, data is collected from 20 random luxury hotels in New York and 30 random luxury hotels in Los Angeles. Therefore, the degrees of freedom for a pooled-variance two-sample t-test or confidence interval would be:df = 20 + 30 - 2df = 48. Hence, the degrees of freedom associated with a pooled-variance two-sample t-test or confidence interval are 48.

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The magnitude of the correlation coefficient indicate the "strength" about the variables.

In the financial and investing industries, correlation is a statistic which indicates the extent that two securities change in relation to one another.

Correlations are employed in advance portfolio management and are calculated as correlation coefficient, that must be between -1.0 and +1.0.

Some key features regrading correlation are-

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Answer:

I think it's 3 units to the left and 6 units down

Step-by-step explanation:

Hope I helped!

Answer:

294 teenagers

Step-by-step explanation:

31.5$

102ml

50 hamburgers

Step 1: Our output value is 700.

Step 2: We represent the unknown value with $x$x​.

Step 3: From step 1 above,$700=100\%$700=100%​.

Step 4: Similarly, $x=42\%$x=42%​.

Step 5: This results in a pair of simple equations:

$700=100\%(1)$700=100%(1)​.

$x=42\%(2)$x=42%(2)​.

Step 6: By dividing equation 1 by equation 2 and noting that both the RHS (right hand side) of both

equations have the same unit (%); we have

$\frac{700}{x}=\frac{100\%}{42\%}$

700

x​=

100%

42%​​

Step 7: Again, the reciprocal of both sides gives

$\frac{x}{700}=\frac{42}{100}$

x

700​=

42

100​​

Therefore, 42% of 700 is 294.

Answer:5

Step-by-step explanation:

the lenglength of 2x2x is 10 so 2x2x. Means that x is 5

Answer:

21 fluid ounces = 126 teaspoons

Step-by-step explanation:

1 teaspoons is 0.166667 fluid ounces

Now we just have to think 0.166667 * x = 21

21 ounces = 126 teaspoons

Hope this helped :)

Answer: the can contains 126 teaspoons in the can of range juice.

Step-by-step explanation:

given,

no. of teaspoons of orange juice is the call= 5 teaspoons

ounces in the orange juice can= 21 fluid ounces

if 1 ounce = 6 teaspoons

then, 21 ounces= 126 teaspoons.

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The Equations of the tangent lines is y = 3 x and y= 2/3 x - 5.

The standard equation for an ellipse, x² / a² + y² / b² = 1, represents an ellipse centered at the origin and with axes lying along the coordinate axes.

Given:

x²+4y²=36 and pass through the point (12, 3).

So,  x²+4y²=36

x²/36 + y² / 4=1

and, a²=36, b²=9,

If the tangent line passes through point (12, 3 ) then the line equation is

3 = 12 m + n  

n= 3- 12m

So, tangent lines to the ellipse

a²m² + b² = n²

36 m² + 9 = ( 3 - 12 m )²

36 m² + 9 = 9 - 72 m + 144 m²

-108 m² + 72 m = 0

m ( -180 m + 72 ) = 0,          

m= 0 and m= 2/3

and, n= 3  or n = 3 - 12 x 2/3 = 3 - 8 = -5

Hence, the Equations of the tangent lines is y = 3 x and y= 2/3 x - 5.

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Complete question is below

find equations of both the tangent lines to the ellipse x²+4y²=36 and pass through the point (12, 3).

Constructing outliers involves identifying and representing extreme values in a dataset. Outliers are data points that significantly deviate from the typical pattern or distribution of the data.

These extreme values can provide valuable insights into the behavior and characteristics of a variable of interest. To construct outliers, follow these steps:

Identify the variable of interest: Determine which variable you want to examine for outliers. This could be a dependent variable (y) or an independent variable (x).

Collect and organize data: Gather the data related to the variable of interest. Ensure that the data is properly organized and formatted for analysis.

Understand the distribution: Examine the distribution of the data to get a sense of its typical pattern. Plotting a histogram or a box plot can help visualize the data and identify any potential outliers.

Define the criteria for outliers: Determine the criteria for identifying outliers based on the context of your analysis. Common methods include using statistical measures such as the interquartile range (IQR) or z-scores to define a threshold for extreme values.

Identify outliers: Apply the defined criteria to identify outliers in the dataset. Any data points that fall outside the defined threshold are considered outliers.

Represent outliers: Once outliers are identified, represent them in the dataset. This could involve labeling the outliers, marking them on a graph, or separating them from the rest of the data for further analysis.

By constructing outliers, researchers and analysts can gain insights into the unique characteristics and behaviors of extreme values within a dataset. These outliers can provide valuable information about the variable of interest and help identify potential influential factors or patterns that might otherwise go unnoticed.

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Answer:

x = -6

Step-by-step explanation:

Answer:

x=-6

Step-by-step explanation:

-2x - 14 = -2

first, you have to add 14 to both sides

-2x = 12

now you divide -2 from both sides

x = -6

Answer:

d)  (-1,0) and (0,0)

Step-by-step explanation:

2x + y ≤ 5

y ≤ -2x + 5

-2x ≤ y + 2

y ≥ -2x - 2

the points in answer (d) make each of the inequalities True

When performing a significance-test for comparing dependent means, several assumptions are necessary to make a valid inference- Normality, Equal variances, Independence,Random-sampling.

Some of these assumptions are:

Normality: The distribution of differences between the paired observations must be approximately normal.

This can be assessed using a normal probability plot or by conducting a normality test.

Equal variances: The variances of the paired differences should be approximately equal.

This can be assessed using the Levene's test.

Independence: The paired differences should be independent of each other.

This means that each observation in one sample should not influence the corresponding observation in the other sample.

Random sampling: The observations should be selected randomly from the population of interest.

This ensures that the sample is representative of the population.

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The selection depends on individual needs, preferences, and the intended use of the tiny house.

a) To find the amount of space inside each house, we need to calculate the volume for each design.

House on the left:

Volume = length x width x height = 2.5 m x 18 m x 2.8 m = 126 m³

Triangular house:

Volume of a triangular prism = (base area x height) / 2

Base area = (1/2) x base x height = (1/2) x 4 m x 10 m = 20 m²

Volume = (20 m² x 7 m) / 2 = 70 m³

b) When comparing the environmental impacts of each house, several factors need to be considered:

Positive impacts:

1. Material usage: Tiny houses use fewer materials, reducing resource consumption and waste generation.

2. Energy efficiency: Smaller living spaces require less energy for heating, cooling, and lighting, leading to lower energy consumption.

3. Land utilization: Tiny houses can be built on smaller plots of land, preserving green spaces and reducing urban sprawl.

Negative impacts:

1. Construction materials: Although tiny houses use less material overall, the environmental impact depends on the types of materials used. Sustainable and eco-friendly materials should be prioritized.

2. Water and waste management: Adequate provisions for water supply and waste disposal should be implemented to minimize environmental impacts.

3. Transportation: The transportation of tiny houses to their locations can contribute to carbon emissions if not done efficiently.

c) The choice of design for a tiny house depends on personal preferences and priorities. However, considering the provided information:

The house on the left offers a larger interior space of 126 m³, providing more room for living and storage. It may be suitable for individuals or couples who desire more space and functionality within their tiny house.

The triangular house has a smaller interior volume of 70 m³ but offers a unique design and aesthetic appeal. It may be preferred by individuals who prioritize a distinctive architectural style or who are looking for a minimalist and cozy living space.

Ultimately, the selection depends on individual needs, preferences, and the intended use of the tiny house. Factors such as lifestyle, desired amenities, and personal values regarding sustainability and resource conservation should be considered when making the final decision.

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