What is the distance between (2, 8) and (-7,8)? units​

Answer:

c

Step-by-step explanation:

because the real awnser is 57/4 but simpfly

Answer:

C) \(14\frac{1}{4}\)

explanation:

\(4\frac{5}{6} +4\frac{2}{3} +4\frac{3}{4} \\\\\frac{29}{6} +\frac{14}{3} +\frac{19}{4} \\\\\frac{58}{12} +\frac{56}{12} +\frac{57}{12} \\\\\frac{171}{12} \\\\14\frac{1}{4}\)

Answer:

True

Step-by-step explanation:

I cant show you a picture but if you go to desmos you can put in the coordinates and see where they are.

Moving Average leads a trend, True. Mean Squared Error cannot be used to compare alternative forecasting methods, False. Delphi method uses multiple rounds for determining estimates, True.

True. Moving Average is a commonly used time series forecasting technique that calculates the average of a specified number of past data points to predict future values. It is known as a lagging indicator because it uses historical data to forecast trends. By smoothing out fluctuations in the data, moving averages provide a clearer picture of the underlying trend. Therefore, it can be said that moving averages lead a trend.

False. Mean Squared Error (MSE) is a measure used to assess the accuracy of a forecasting model by comparing its predicted values to the actual values. It calculates the average of the squared differences between the predicted and actual values. While MSE is a useful metric for evaluating the performance of a single forecasting method, it cannot be directly used to compare alternative forecasting methods.

This is because MSE values are scale-dependent, meaning they can vary depending on the units of measurement. In order to compare alternative methods, it is recommended to use other metrics like Mean Absolute Error (MAE) or forecasting accuracy measures such as Mean Absolute Percentage Error (MAPE).

True. The Delphi method is a forecasting technique that involves multiple rounds of gathering expert opinions to reach a consensus or determine estimates. In each round, a panel of experts provides their individual forecasts or opinions on a particular topic. These responses are collected, summarized, and fed back to the experts for further consideration. This process continues for several rounds until a convergence or consensus is reached.

The Delphi method is designed to harness the collective intelligence and expertise of a diverse group of experts while minimizing the influence of dominant individuals or group dynamics. The iterative nature of the Delphi method allows for refining and revising estimates based on feedback, resulting in a more reliable and accurate forecast.

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The complete question is:

Moving Average leads a trend. True/False

Mean Squared Error can be used to compare alterative forecasting methods. True/False

Delphi method  uses multiple rounds for determining estimates. True/False.

When you divide fractions, you have to "multiply fraction's" by the reciprocal. In order to solve a division-fraction problem you have to use KCF. (Keep, Change, Flip)

Example:

=

2×6=12÷3=4

3×5=15÷3=5

=4/5

Hope this helps!

The edge length is 22 inches, the rate at which the cube's volume is changing is 1056 cubic inches/second.

Given that a cube's surface area increases at a rate of 32 square inches per second and the edge length is 22 inches, the rate of change of the cube's volume is required to be determined. Here, the surface area of a cube is given by:SA = 6a²Differentiating w.r.t time t, we have: d/dt (SA) = d/dt (6a²)⇒ d(SA)/dt = 12a da/dt Also, the volume of a cube is given by: V = a³

Differentiating w.r.t time t, we have: d/dt (V) = d/dt (a³)⇒ d(V)/dt = 3a² da/dt. It is given that d(SA)/dt = 32 square inches per second When the edge length is 22 inches, then a = 22 inches. Putting the values in the above equations, we get: d(SA)/dt = 12a da/dt⇒ 32 = 12(22) da/dt⇒ da/dt = 4/3 inches/second d(V)/dt = 3a² da/dt⇒ d(V)/dt = 3(22²) (4/3)⇒ d(V)/dt = 1056 cubic inches/second.

Therefore, when the edge length is 22 inches, the rate at which the cube's volume is changing is 1056 cubic inches/second.

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Answer:

the answer is 42 times.

Step-by-step explanation:

i took the test

The following column A and B can be matched as:

1 - b, 2 - c, 3 - d, 4 - a

Its equivalent expressions are:

x² = 1/\(x^{-2}\)

\(x^{4}\) ÷ \(x^{3}\) = \(x^{4}\) / x³ = x

(x²)² = \(x^{2+2}\) =  \(x^{4}\)

x³. x³. x³ = \(x^{3+3+3}\) = \(x^{9}\)

The symbol written above and to the right of a mathematical expression indicating the operation of raising power is called exponents.

Example:

a² and b³

2 and 3 are exponents.

We have,

x²                      \(x^{9}\)

\(x^{4}\) ÷ \(x^{3}\)               1/\(x^{-2}\)

(x²)²                   x

x³. x³. x³           \(x^{4}\)

We need to find its equivalent expressions

x² = 1/\(x^{-2}\)

\(x^{4}\) ÷ \(x^{3}\) = \(x^{4}\) / x³ = x

(x²)² = \(x^{2+2}\) =  \(x^{4}\)

x³ . x³ . x³ = \(x^{3+3+3}\) = \(x^{9}\)

Thus the following column A and B can be matched:

1 - b

2 - c

3 - d

4 - a

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Answer:

Step-by-step explanation:

Dont do it. Just take the detention

Answer:

B

Step-by-step explanation:

Must be have the same central angle measure

Must be in the same circle or congruent circles

Answer:

\(\huge\boxed{n=-3}\)

Step-by-step explanation:

\(-40-6n=2(1+4n)\\\\\text{Distribute the right side: }\left \{ {{2*1=2} \atop {2*4n=8n}} \right.\\\\-40-6n=2+8n\\\\-40+40-6n=2+8n+40\\\\-6n=42+8n\\\\-6n-8n=42+8n-8n\\\\-14n=42\\\\\frac{-14n}{-14}=\frac{42}{-14}\\\\\boxed{n=-3}\)

Answer:

-3 = n

Step-by-step explanation:

-40 - 6n= 2(1 + 4n)

Distribute

-40 -6n= 2+8n

Add 6n to each side

-40 -6n+6n = 2+8n+6n

-40 = 2+14n

Subtract 2

-40-2 = 2+14n-2

-42 = 14n

Divide by 14

-42/14 = 14/14

-3 = n

the perimeter of the new pentagon is 320/7 inches.

If a regular pentagon is dilated by a scale factor of 8/7, all its sides will be multiplied by 8/7. Since the original pentagon has a perimeter of 28 inches, each side of the original pentagon has a length of 28/5 inches (since a regular pentagon has 5 equal sides).

Now, let's find the perimeter of the new pentagon after dilation. Since each side of the original pentagon is multiplied by 8/7, the new pentagon's sides will have a length of (8/7) * (28/5) inches.

Perimeter of the new pentagon = (Number of sides) * (Length of each side)

                            = 5 * [(8/7) * (28/5)]

                            = 40 * (8/7)

                            = 320/7

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Answer:

21

Step-by-step explanation:

Since the girls have the same age, let their age be x.
Then, their average is

\(\frac{x+x}{2} = \frac{2x}{2} = x\)

Let \(S_{i}\) denote the age of 'i' girls.
Then, \(S_{8} = S_{6} + x + x - eq(1)\)

Also, we have,

\(\frac{S_{8}}{8} =15 - eq(2)\)

\(\frac{S_{6}}{6} =13 - eq(3)\)

Then eq(2):

(from eq(1) and eq(3))

\(\frac{S_{6} + 2x}{8} =15\\\\\frac{13*6 + 2x}{8} = 15\\\\78+2x = 120\\\\2x = 120-78\\\\x = 21\)

The average of the other two girls with equal age​ is 21

The maximum purchase price per unit of the component that Ms. Alexander should negotiate with her supplier is $19.00, which is equal to the variable cost per unit to manufacture the part in-house.

In this scenario, Ms. Alexander needs to determine the maximum price per unit that she should be willing to pay the supplier for the component. She conducted a cost analysis and found that manufacturing the part in-house would require $450,000 in capital equipment and have a variable cost of $19.00 per unit.

Since there is no fixed cost associated with purchasing the component from the supplier, the maximum purchase price per unit should not exceed the variable cost per unit of manufacturing in-house. This ensures that the company does not incur additional costs by outsourcing the component.

Therefore, Ms. Alexander should negotiate a price with the supplier that is equal to or lower than the variable cost per unit, which is $19.00. By doing so, the company can avoid the initial capital investment and ongoing variable costs associated with in-house production, making it more cost-effective to purchase the component from the supplier.

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The operation that describes the correct way to begin solving the system of equations is the substitution method.

What is meant by a linear system of equations?

The collection of two or more linear equations involving the same variables is known as a system of linear equations. In this case, linear equations are first-order equations, where the maximum power of the variable is 1. One, two, or three variables may be present in a linear equation.

The given two equations are linear equations and it is called the system of equations.

The given linear equations can be solved using the substitution method.

4x-2y=13..................(i)

2x-3y=26.................(ii)

The value of x from (ii) is x=(26+3y)/2.

Now we will substitute the value of x in (i).

4(26+3y)/2 -2y=13

52+6y-2y=13

y=-39/4

By substituting the value of y with the value of x we will get x=169/4.

Therefore the operation that describes the correct way to begin solving the system of equations is the substitution method and the solution of the given system of equations is (x,y)= (169/4, -39/4)

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The present ages of Jenifer and Emma are 63 year old and 9 years old respectively

Let's start by assigning variables to the present ages of Jennifer and Emma. Let "J" be Jennifer's age and "E" be Emma's age.

From the problem statement, we know that:

J = 7E (Jennifer is 7 times as old as Emma)

J - 3 = 10(E - 3) (Three years ago, Jennifer was 10 times as old as Emma)

We can use these two linear equations to solve for J and E.

Substitute J = 7E from the first equation into the second equation, we get:

7E - 3 = 10(E - 3)

7E - 3 = 10E - 30

3E = 27

E = 9

Now that we know Emma's age is 9, we can use the first equation to find Jennifer's age:

J = 7E

J = 7(9)

J = 63

Therefore, Jennifer is currently 63 years old and Emma is currently 9 years old.

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The correct formula for the revenue generated by the item is Revenue = 200p - 5p^2.

The revenue generated by the item can be calculated by multiplying the price (p) by the unit sales (200 - 5p). Therefore, the correct formula for the revenue generated by the item is:

Revenue = Price x Unit Sales
Revenue = p(200 - 5p)
Revenue = 200p - 5p^2

The revenue generated by the item is a quadratic function of the price (p). To find the maximum revenue, we need to differentiate the function with respect to p and set it equal to zero:

dRevenue/dp = 200 - 10p = 0
10p = 200
p = 20

Therefore, the maximum revenue is generated when the price of the item is $20. Substituting p = 20 in the revenue formula, we get:

Revenue = 200(20) - 5(20^2) = $2000

Hence, the correct formula for the revenue generated by the item is Revenue = 200p - 5p^2, and the maximum revenue is achieved when the price of the item is $20, generating a revenue of $2000.

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Answer:

43347

Step-by-step explanation:

just move decimal to the right 4 times.

The fractions to show the value of each 9 in the decima 0.999 are 9/10, 9/100, 9/1000.

To write the fraction that shows the value of each 9 in the decimal 0.999, we can use the following method

The digit 9 in the tenths place represents 9/10 or 0.9.

The digit 9 in the hundredths place represents 9/100 or 0.09.

The digit 9 in the thousandths place represents 9/1000 or 0.009.

Thus, the fractions are

0.9 = 9/10

0.09 = 9/100

0.009 = 9/1000

The value of the 9 on the left is related to the value of the 9 in the middle by a factor of 10.

The value of the 9 on the right is related to the value of the 9 in the middle by a factor of 10, so the 9 on the right is one-tenth the value of the 9 in the middle.

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Answer:

-6/-2<-2x/-2

divide both sides by-2 to remain with the x variable on one side

I hope this helps

Yes, if the geometric multiplicity of each eigenvalue equals its algebraic multiplicity, then the matrix is diagonalizable.

1. Eigenvalues: Scalar values associated with a matrix that, when multiplied by a non-zero vector (eigenvector), only result in a scaled version of that vector.

2. Geometric multiplicity: The number of linearly independent eigenvectors associated with a specific eigenvalue.

3. Algebraic multiplicity: The number of times a specific eigenvalue appears as a root of the characteristic polynomial of the matrix.

4. Matrix diagonalizable: A matrix is diagonalizable if it can be transformed into a diagonal matrix through a similarity transformation (using an invertible matrix P).


A matrix is diagonalizable if and only if there are enough linearly independent eigenvectors to form a basis for the matrix's domain. This means that the sum of the geometric multiplicities of all eigenvalues must equal the dimension of the matrix. If the geometric multiplicity of each eigenvalue equals its algebraic multiplicity, it ensures that there are enough linearly independent eigenvectors to form a basis. Consequently, the matrix is diagonalizable.

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Q.2: A review of the t-test on the significance of individual independent variable suggests that, based on the p-values. None of the independent variables could be retained. This is because if the p-value is high, it means the significance is low.

Q3: Choose the right option below. Based on the full regression model involving all of the independent variables. VIF for Size = 5.3352, VIF for Fireplace = 10.1873, VIF for bedrooms = 2.7885.

Q.4: Based on VIF values, there is concern for collinearity in this dataset. True

Q5: Based on the normal probability plot, the normality assumption seems to be met. True

Q7: Based on conducting residual analysis the model seems. Adequate.

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The effect on the perimeter when the dimensions of the rectangle are multiplied by 2 is an increase by a factor of 2.

The perimeter of a rectangle is given by the formula: P = 2(l + w), where l is the length and w is the width.

For the given rectangle with a width of 12.5 m and a length of 105 m, the perimeter is:

\(P = 2(105 m + 12.5 m) = 235 m\)

Now, if the dimensions of the rectangle are multiplied by 2, the new width and length become \(2 * 12.5 m = 25 m\) and \(2 *105 m = 210 m\), respectively.

The new perimeter can be calculated using the same formula:

\(P' = 2(210 m + 25 m) = 470 m\)

Therefore, the effect on the perimeter when the dimensions are multiplied by 2 is an increase from 235 m to 470 m, which is a factor of 2. So, the correct response is "the perimeter is increased by a factor of 2."

When we say that the effect on the perimeter is an increase by a factor of 2, what we mean is that the new perimeter is twice the size of the original perimeter. We can think of this in terms of scaling. If we scale the rectangle by a factor of 2, both the length and width will be doubled, and therefore the perimeter will also be doubled.

Another way to see this is to compare the actual values of the perimeters before and after the scaling. The original perimeter was 235 m, and the new perimeter is 470 m. If we divide the new perimeter by the old perimeter, we get:

\(470 m / 235 m = 2\)

So, the new perimeter is twice the size of the original perimeter, which confirms that the effect on the perimeter is an increase by a factor of 2.

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Answer:

what equation?

Step-by-step explanation:

Answer:

x=2

Step-by-step explanation:

2(x+1)^2+3=21

2(x+1)^2=9

x+1=3

x=2

Numerical methods or approximation techniques such as the method of undetermined coefficients or Laplace transforms can be used to obtain an approximate solution.

a) The given equation represents the motion of a mass-spring system with damping. Here is the physical interpretation of the equation:

The mass (m): It indicates the amount of matter in the system and is given as 1 kg in this case. The mass affects the inertia of the system and determines how it responds to external forces.

Spring stiffness (k): It represents the strength of the spring and is given as 3 N/m in this case. The spring stiffness determines how much force is required to stretch or compress the spring. A higher value of k means a stiffer spring.

Damping coefficient (c): The damping term, 2x', represents the damping force in the system. The coefficient 2 determines the strength of damping. Damping opposes the motion of the system and dissipates energy, resulting in the system coming to rest over time.

External force (sin(1) + 6(1-2)): The term sin(1) represents a sinusoidal external force acting on the system, and 6(1-2) represents a constant force. These external forces can affect the motion of the mass-spring system.

The equation combines the effects of the mass, spring stiffness, damping, and external forces to describe the motion of the system over time.

b) To solve the given equation, we need to find the solution for x(t). However, since the equation is nonlinear and nonhomogeneous, it is not straightforward to provide an analytical solution. Numerical methods or approximation techniques such as the method of undetermined coefficients or Laplace transforms can be used to obtain an approximate solution.

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The ratio of corresponding sides for the given similar triangles is 2/5.

In the given options, the ratio of corresponding sides is provided for each set of similar triangles. Let's analyze each option to determine the correct ratio:

a. 10

This option only provides a single number and does not specify the ratio of corresponding sides. Therefore, it is not the correct answer.

b. 4/5

This option provides the ratio 4/5 for the corresponding sides of the similar triangles. However, the ratio can be simplified further.

To simplify the ratio, we divide both the numerator and denominator by their greatest common divisor (GCD). In this case, the GCD of 4 and 5 is 1.

Dividing 4 and 5 by 1, we get:

4 ÷ 1 = 4

5 ÷ 1 = 5

Therefore, the simplified ratio is 4/5.

c. 10/85

This option provides the ratio 10/85 for the corresponding sides of the similar triangles. However, this ratio cannot be simplified further, as 10 and 85 do not have a common factor other than 1.

Therefore, the correct ratio of corresponding sides for the given similar triangles is 2/5, as determined in option b.

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Answer:

The temperature had risen 20 degrees.

Step-by-step explanation:

Answer:

20 degrees

Step-by-step explanation:

\(~~~~~~ \textit{Compound Interest Earned Amount} \\\\ A=P\left(1+\frac{r}{n}\right)^{nt} \quad \begin{cases} A=\textit{accumulated amount}\\ P=\textit{original amount deposited}\dotfill &\$6000\\ r=rate\to 3.5\%\to \frac{3.5}{100}\dotfill &0.035\\ n= \begin{array}{llll} \textit{times it compounds per year}\\ \textit{annually, thus once} \end{array}\dotfill &1\\ t=years\dotfill &4 \end{cases} \\\\\\ A=6000\left(1+\frac{0.035}{1}\right)^{1\cdot 4}\implies A=6000(1.035)^4\implies A\approx 6885\)

Answer:

multiply

Step-by-step explanation:

2345567 in the subtract 578431111

The time taken to finish the race is 3.49 hours

Speed is defined as. The rate of change of position of an object in any direction. Speed is measured as the ratio of distance to the time in which the distance was covered.

Given,

The total distance = 500 miles

The speed = 143.187 mph

We know, Speed = Distance / Time

Time = Distance / Speed

Substitute the values

Time = \(\frac{500}{143.187}=3.49\) hours

Hence, the time taken to finish the race is 3.49 hours

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