find the scale factor

Answer:

Domain= possible x values

Range= possible y values.

Domain= all real numbers

Range= all numbers greater than -2.

Let me know if this helps :)

Domain = all real numbers and Range = ( -2 , ∞) of the given exponential graph

" Domain of exponential function y = aˣ is all the values of x and range is the all calculated values of 'y' after substituting value of x."

General exponential function

y = aˣ

According to the graph,

Given exponential function,

y = 3ˣ - 2

x represents the domain of the function.

y represents the range of the function

compare with exponential equation

a= 3 >1

As the value of 'x' increases value of 'y' moves to infinity.

Therefore, value of y defined for all the values of 'x'.

Therefore,

Domain is set of all real numbers.

Function y is transformed by -2.

Substitute x=0 in y = 3ˣ-2 we get,

y = -2

Therefore,

Range = (-2 , ∞)

Hence, Domain = all real numbers and Range = ( -2 , ∞) of the given exponential graph.

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The different proportional relationship is given by:

Relationship B.

The justification is:

Since graph B has a different constant of proportionality and different equation, it is different than other three graphs.

The definition of a proportional equation is given as follows:

y = kx.

Which means that the output variable y is obtained with the multiplication of the constant of proportionality k and the input variable x.

The constant is obtained as the division of y by x of a point (x,y) different of the origin, as follows:

k = y/x.

Hence, for each relationship, the constant is given as follows:

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The option A is correct, the linear equation x + y = 34. and 10x + 15y = 410 represent the the statement.

According to the statement

we have given that the

Jody earns $10 per hour babysitting And jody earns $15 per hour doing yardwork.

And she worked 34 hours and earned $410

and we have to express in the linear equation terms.

So, For this purpose,

Let x represents the number hours she babysat

Let y represents the number of hours she did yardwork

And the equations become

x + y = 34.

10x + 15y = 410

And with the help of these linear equations we find the hours which are x and y.

So, The above written equations perfectly express the given conditions in the statement.

The option A is correct, the linear equation x + y = 34. and 10x + 15y = 410 represent the the statement.

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The SAS (Side-Angle-Side) Congruence Rule states that if two sides and the included angle of one triangle are equal to two sides and the included angle of another triangle, then the two triangles are congruent.

The SAS (Side-Angle-Side) congruence rule is a method used to determine if two triangles are congruent. This rule states that if two sides and the included angle of one triangle are congruent to two sides and the included angle of another triangle, then the two triangles are congruent.

To determine if two triangles are congruent using the SAS rule, we must first identify the two sides and the angle in one triangle that are congruent to the two sides and the angle in the other triangle. This means that they must have the same measures in terms of length and angle.

Once we have identified the corresponding sides and angles, we can use the SAS rule to determine if the two triangles are congruent. If the two sides and the angle of one triangle are congruent to the two sides and the angle of another triangle, then the two triangles are congruent.

However, if the two sides and the angle of one triangle are not congruent to the two sides and the angle of another triangle, then the two triangles are not congruent. The SAS rule is a simple and effective way to determine if two triangles are congruent.

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Answer:

488000

(real number)

= 4.88 × 105

(scientific notation)

= 4.88e5

(scientific e notation)

number of significant figures: 3

Answer:

The value of x is 12.

Step-by-step explanation:

I took extra ciricular math classes in high school, So I am a pro at equations

The area under the curve of x(t) is zero.

We are given that;

The given signal is x(t) = cos(4πt) rect (4t-2).

Here, rect(t) is the rectangular function which is defined as:

rect(t) = 1 for |t| < 0.5

rect(t) = 0 for |t| > 0.5

To find the area under the curve of x(t),

we need to integrate the product of the cosine and rectangular functions over the given time interval. The integral can be split into two parts, one from t = 0 to t = 0.5 and another from t = 0.5 to t = 1.

∫x(t)dt = ∫cos(4πt)rect(4t-2)dt

        = ∫cos(4πt)dt from t=0 to t=0.5 + ∫cos(4πt)dt from t=0.5 to t=1

Evaluating the integral we get:

∫x(t)dt = [sin(4πt)/(4π)] from t=0 to t=0.5 + [sin(4πt)/(4π)] from t=0.5 to t=1

        = [sin(2π)-sin(π)]/(2π) + [sin(2π)-sin(3π)]/(2π)

        = (1/π)[sin(π)-sin(3π)]

        = (1/π)[0-0]

        = 0

Therefore, by the area answer will be zero.

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On solving the expression 2s the value for new amount in Fiona's bank is obtained as $320.

What is an expression?

Mathematical expressions consist of at least two numbers or variables, at least one arithmetic operation, and a statement. It's possible to multiply, divide, add, or subtract with this mathematical operation.

The amount of money in Fiona's savings account s = $160.

The amount is double.

So the expression will be -

New amount = 2 × s

New amount = 2s

Substitute the value in the expression -

New amount = 2 × 160

New amount = 320

Therefore, the new amount is $320.

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Answer:

31 nickels and 29 dimes

Step-by-step explanation:

The value of n is found as the 6 for the given exponent equation.

For the stated equation.

36 Superscript 12 minus n Baseline = 6 Superscript 2 n

This can be written as;

36¹²⁻ⁿ = 6²ⁿ

Using the adding exponent rule.

36¹².36⁻ⁿ = 6²ⁿ

Simplifying.

(6)²ˣ¹².(6)⁻ⁿˣ² = 6²ⁿ

(6)²⁴.(6)⁻²ⁿ = 6²ⁿ

Thus,

As, the base of number is equal , equating the powers.

24 - 2n = 2n

4n = 24

n = 6

Thus, the value of n is found as the 6 for the given exponent equation.

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The correct question is-

If 36 Superscript 12 minus n Baseline = 6 Superscript 2 n, what is the value of n?

Answer:B

Step-by-step explanation:

edge 2023

Answer:

80% i think

Step-by-step explanation:

Answer:

-12°F

Step-by-step explanation:

Answer:

-12

it should be this

Answer:

kbkbj/lm

Step-by-step explanation:

bkbhgub

Answer:

haha what is that

Step-by-step explanation:

why there is no question

but still i am typing this for point

Answer:

Step-by-step explanation:

The roots are:

The polynomial is:

The weight of the step would be = 1,728kg

The weight of the step can be calculated from the formula of the density of the step after knowing it's volume.

The volume of the step can be calculated by the addition of the volume of 3 squares that makes up the step.

That is , the volume of square1 +square 2 +square 3 = Vol of step.

The volume of square = length ×width×height

For square 1 = 0.6×0.6×1 = 0.36m³

For square 2 = 0.6×0.4×1 = 0.24m³

For square 3 = 0.6×0.2×1 =. 0.12m³

The volume of the step = 0.36+0.24+0.12 = 0.72m³

The density of the step = 2400kg/m³

The formula for density = mass/volume

that is = 2400 = mass/ 0.72

mass = 2400×0.72 = 1,728kg.

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The number selected is the square of a natural number is 1/5.

What is probability and example?

The square number between 1 and 20 = 1,4,9,16

The number of squares between 1 and 20 = 4

The total numbers between 1 and 20= 20

The probability that the number selected is the square of a natural number is given by -

P = Square number /total numbers

P = 4/20 = 1/5

Therefore,  the number selected is the square of a natural number is 1/5.

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Answer:

7^4 = 2401

Step-by-step explanation:

___, ___, ___, ___

all blank spaces can be filled with all 7 numbers each.. so 7*7*7*7 is total number of paterns you can get if repititions is allowed

The point is on second quadrant.

P(x, y) is on the unit circle

radius of the circle must be 1

The equation x² + y² = r²

\(y=\frac{2}{3}\), r =1

\(x^{2} (\frac{2}{3}) ^{2}= 1^{2}\)

\(x^{2} +\frac{4}{9} =1\)

\(x^{2} =1-\frac{4}{9}\)

\(x^{2} =\frac{5}{9}\)

\(x=\sqrt{\frac{5}{9} }\)

x = ±\(\sqrt{\frac{5}{9} }\)

x- c00rdinate is negative = - \(\sqrt{\frac{5}{9} }\)

P(x, y) = \((-\sqrt{\frac{5}{9} }, \frac{2}{3})\)

Therefore, the point is on second quadrant.

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The differential effect of inductive instructions and deductive instructions refers to the impact that these two types of instructional approaches have on learning and problem-solving abilities.

Inductive instructions involve presenting specific examples or cases and then drawing general conclusions or principles from them. This approach encourages learners to identify patterns, make generalizations, and develop hypotheses based on the observed data. Inductive reasoning moves from specific instances to a broader understanding of concepts or principles.

On the other hand, deductive instructions involve presenting general principles or rules first and then applying them to specific examples or cases. This approach emphasizes logical reasoning, where learners are guided to apply established rules to solve problems or make conclusions based on given premises. Deductive reasoning moves from a general understanding of concepts or principles to specific instances.

The differential effect of these two instructional approaches can vary depending on various factors, such as the learner's prior knowledge, cognitive abilities, and the nature of the task or subject matter.

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The given system of equations is:

f1(y,w) = ry - 2w = 0 ------(1)

f2(y,w) = y - 2w² + 2 = 0 ------(2)

f3(y,w) = y + 5 - 2² = 0 ------(3)

The value of a_z and a_w is -1/4 and r/4 respectively, using Cramer's rule.

1) Calculation of the total differential of the system:

Let's suppose, the given equations are:

f1(y,w) = ry - 2w = 0

f2(y,w) = y - 2w² + 2 = 0

f3(y,w) = y + 5 - 2² = 0

The total differential of the system is given as:

df1 = ∂f1/∂y dy + ∂f1/∂w dw

df2 = ∂f2/∂y dy + ∂f2/∂w dw

df3 = ∂f3/∂y dy + ∂f3/∂w dw

where, ∂f1/∂y = r

∂f1/∂w = -2

∂f2/∂y = 1

∂f2/∂w = -4w

∂f3/∂y = 1

∂f3/∂w = 0

Putting the given values in above equation:

df1 = r dy - 2dw

df2 = dy - 4w dw

df3 = dy

Now, the total differential of the system is given by:

df = df1 + df2 + df3

   = (r+1)dy - (4w + 2)dw

Hence, the total differential of the given system is (r+1)dy - (4w + 2)dw.2)

Representation of the total differential of the system in matrix form:

The total differential of the system is calculated as:(r+1)dy - (4w + 2)dw

We know that, Jacobian matrix is given as:

J = [∂fi/∂xj]

where, i = 1, 2, 3 and j = 1, 2, 3 [Here, x1 = y, x2 = z and x3 = w]

The matrix form of the total differential of the system is given as:

JV = U dz

where, J = Jacobian matrix, V = (dx dy dw) and U is a vector.

The Jacobian matrix is given as:

J = | 0 1 0 || 1 0 -4w || 0 1 (r+1) |

Putting the given values in the above matrix, we get:

J = | 0 1 0 || 1 0 -8 || 0 1 (r+1) |

The above matrix is the required Jacobian matrix.3)

Satisfying the conditions of the implicit function theorem:

The given point is (z, y, w) = (3, 4, 1, 2).

Let's calculate the determinant of the Jacobian matrix at this point.

The Jacobian matrix is:

J = | 0 1 0 || 1 0 -8 || 0 1 (r+1) |

Putting (z, y, w) = (3, 4, 1, 2) in the above matrix, we get:

J = | 0 1 0 || 1 0 -8 || 0 1 2 |

The determinant of the Jacobian matrix is given as:

|J| = 0 - 1(-8) + 0 = 8

Since, the determinant is non-zero, the conditions of the implicit function theorem are satisfied.

4) Calculation of a_z and a_w using Cramer's rule:

The given system of equations is:

f1(y,w) = ry - 2w = 0 ------(1)

f2(y,w) = y - 2w² + 2 = 0 ------(2)

f3(y,w) = y + 5 - 2² = 0 ------(3)

Let's calculate a_z and a_w using Cramer's rule:

a_z = (-1)^(3+1) * | A3,1 A3,2 A3,3 | / |J|

      = (-1)^(4) * | 2 1 0 | / 8= -1/4a_w = (-1)^(1+2) * | A2,1 A2,3 A2,3 | / |J|

      = (-1)^(3) * | ry 0 -2 | / 8

      = r/4

Therefore, a_z = -1/4 and a_w = r/4.

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The given system of equations is:

\(f1(y,w) = ry - 2w = 0 ------(1)f2(y,w) = y - 2w^2 + 2 = 0 ------(2)f3(y,w) = y + 5 - 2^2 = 0 ------(3)\)

The value of a_z and a_w is -1/4 and r/4 respectively, using Cramer's rule.

1) Calculation of the total differential of the system:

Let's suppose, the given equations are:

\(f1(y,w) = ry - 2w = 0f2(y,w) = y - 2w^2 + 2 = 0f3(y,w) = y + 5 - 2^2 = 0\)

The total differential of the system is given as:

\(df1 \\=\partial\∂ f1/ \partialy\∂ dy + \partial\∂f1/\partial\∂w\ dwdf2 \\= \partial\∂f2\partial\∂y dy + \partial\∂ f2/\partial\∂w\ dwdf3 \\= \partial\∂f3/\partial\∂y dy + \partial\∂f3/\partial\∂w\ dw\\where, \partial\∂f1/\partial\∂y \\= r\partial\∂f1/\partial\∂w \\= -2\partial\∂f2/\partial\∂y = 1\partial\∂f2/\partial\∂w\\= -4w\partial\∂f3/\partial\∂y \\= 1\partial\∂f3/\partial\∂w \\= 0\)

Putting the given values in above equation:

\(df1 = r dy - 2dwdf2 = dy - 4w dwdf3 = dy\)

Now, the total differential of the system is given by:

\(df = df1 + df2 + df3 = (r+1)dy - (4w + 2)dw\)

Hence, the total differential of the given system is (r+1)dy - (4w + 2)dw.2)

Representation of the total differential of the system in matrix form:

The total differential of the system is calculated as:(r+1)dy - (4w + 2)dw

We know that, Jacobian matrix is given as:

\(J = [∂fi/∂xj]\)

where,\(i = 1, 2, 3\) and \(j = 1, 2, 3\) [Here\(, =x1 = y, x2\ z\ and\ x3 = w]\)

The matrix form of the total differential of the system is given as:

JV = U dz

where, J = Jacobian matrix, \(V = (dx\ dy\ dw)\)and U is a vector.

The Jacobian matrix is given as:

\(J = | 0 1 0 || 1 0 -4w || 0 1 (r+1) |\)

Putting the given values in the above matrix, we get:

\(J = | 0 1 0 || 1 0 -8 || 0 1 (r+1) |\)

The above matrix is the required Jacobian matrix.3)

Satisfying the conditions of the implicit function theorem:

The given point is \((z, y, w) = (3, 4, 1, 2)\).

Let's calculate the determinant of the Jacobian matrix at this point.

The Jacobian matrix is:

\(J = | 0 1 0 || 1 0 -8 || 0 1 (r+1) |\)

Putting (z, y, w) = (3, 4, 1, 2) in the above matrix, we get:

\(J = | 0 1 0 || 1 0 -8 || 0 1 2 |\)

The determinant of the Jacobian matrix is given as:

\(|J| = 0 - 1(-8) + 0 = 8\)

Since, the determinant is non-zero, the conditions of the implicit function theorem are satisfied.

4) Calculation of a_z and a_w using Cramer's rule:

The given system of equations is:

\(f1(y,w) = ry - 2w = 0 ------(1)f2(y,w) = y - 2w^2 + 2 = 0 ------(2)f3(y,w) = y + 5 - 2^2 = 0 ------(3)\)

Let's calculate a_z and a_w using Cramer's rule:

\(a_z = (-1)^(3+1) * | A3,1 A3,2 A3,3 | / |J| = (-1)^(4) * | 2 1 0 | / 8= -1/4a_w = (-1)^(1+2) * | A2,1 A2,3 A2,3 | / |J| = (-1)^(3) * | ry 0 -2 | / 8 = r/4\)

Therefore, a_z = -1/4 and a_w = r/4.

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The correct option is "Constraints 2, 3 and 4 only because these are the acceptable constraints in linear programming problem (maximization).

In a linear programming problem, constraints define the limitations or restrictions on the decision variables. These constraints must be in the form of linear equations or inequalities.

Constraint 1, X + Y + 2 ≤ 50, is a valid constraint as it is a linear inequality.

Constraint 2, 4X + Y = 20, is also a valid constraint as it is a linear equation.

Constraint 3, 6X + 3Y ≤ 60, is a valid constraint as it is a linear inequality.

Constraint 4, 6X - 3Y ≤ 360, is a valid constraint as it is a linear inequality.

Therefore, the correct answer is "Constraints 2, 3, and 4 only." These constraints satisfy the requirement of being linear equations or inequalities and can be used in a linear programming problem for maximization.

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If you calculate SLE to be $25,000 and that there will be one occurrence every four years (ARO), then the ALE is $40,000.

A expected monetary decline each moment an asset is at risk is referred to as single-loss expectancy (SLE). It is a term that is most frequently used during risk analysis and attempts to assign a monetary value to each individual threat.

Quantitative risk analysis predicts the likelihood of certain risk outcomes as well as their approximate monetary cost using relevant, verifiable data.

IT professionals must consider a wide range of risks, including the following:

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9514 1404 393

Answer:

  220%

Step-by-step explanation:

The percentage change is computed by ...

  % change = ((new value)/(old value) -1) × 100%

  = (800/250 -1) × 100% = (3.2 -1) × 100%

  = 220%

The increase was 220%.

To calculate the covariance between x1 (the number of customers in the express checkout) and x2 (the number of customers in the superexpress checkout), we need the joint probability distribution or the joint probability mass function of x1 and x2. Without specific information about this distribution, it is not possible to directly calculate the covariance.

Covariance is a measure of how two random variables vary together. It quantifies the degree to which changes in one variable are associated with changes in the other variable. In order to calculate the covariance, we need to have a sample or probability distribution that provides the necessary information about the relationship between x1 and x2.

If we have a sample of observations for both x1 and x2, we can calculate the sample covariance using the following formula:

Cov(x1, x2) = Σ[(x1 - μ1)(x2 - μ2)] / (n - 1)

where Σ represents the summation over all observations, x1 and x2 are the individual observations, μ1 and μ2 are the sample means of x1 and x2, respectively, and n is the sample size.

If we have the joint probability distribution or the joint probability mass function, we can use the following formula to calculate the covariance:

Cov(x1, x2) = ΣΣ(x1 - μ1)(x2 - μ2) * P(x1, x2)

where ΣΣ represents the double summation over all possible values of x1 and x2, P(x1, x2) is the joint probability or probability mass function of x1 and x2, and μ1 and μ2 are the means of x1 and x2, respectively.

Without the specific probability distribution or a sample of observations, it is not possible to calculate the covariance between x1 and x2.

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Answer:

25 degrees

Step-by-step explanation:

The two given angles are vertical, so we can set their measures equal to each other and then solve for x.

4x + 50 = 150

4x = 100

x = 25

Answer:

x = 25

Step-by-step explanation:

The angles are vertical angles, so their measures are equal.

4x + 50 = 150

4x = 100

x = 25

A NORMAL distribution is a symmetrical probability distribution with a bell-shaped curve. It is also called a Gaussian distribution or a normal curve. This distribution is often used in statistics to represent a large number of natural phenomena, such as the distribution of height, weight, or IQ scores in a population.

The first deviation of a NORMAL distribution includes 68.2% of the data. This means that if we were to take a random sample of data from a normally distributed population, about 68.2% of the data would be within one standard deviation of the mean.

The second deviation includes 95.4% of the data. This means that about 95.4% of the data would be within two standard deviations of the mean.

The third deviation includes 99.7% of the data. This means that about 99.7% of the data would be within three standard deviations of the mean.

It is important to note that while these percentages hold true for a NORMAL distribution, they may not apply to other types of distributions.

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Answer:

Step-by-step explanation:

(a) and (b) see diagram

(c) you can see from the graph, the purple line hits the parabola twice which is y=6   or k=6

(d)  Solving simultaneously can mean to set equal

6x - x² = k                        >subtract k from both sides

6x - x² - k = 0                  >put in standard form

- x² + 6x - k = 0               >divide both sides by a -1

x² - 6x + k = 0

(e) The new equation is the same as the original equation just flipped (see image)

(f)  The discriminant is the part of the quadratic equation that is under the root. (not sure if they wanted the discriminant of new equation or orginal.  I chose new)

discriminant formula = b² - 4ac

equation:   x² - 6x + 6 = 0            a = 1      b=-6    c = 6

discriminant = b² - 4ac

discriminant= (-6)² - 4(1)(6)

discriminant = 36-24

discriminant = 12

Because the discriminant is positive, if you put it back in to the quadratic equation, you will get 2 real solutions.