Let f(x) = 22 - 2x.Evaluate f(-2) =Solve f(x) = -1.

Answer:

no

Step-by-step explanation:

figure b is wider than figure a

Answer:

no

Step-by-step explanation:

figure b is wider than figure a

Answer:

week: 223

Year: 11596

Step-by-step explanation:

Answer: a) $223; b) $11,596

Step-by-step explanation:

1 week: 11.15/hr * 20hrs/week = 223

Year = 52 weeks; 52 * 223 = 11,596

Answer:

x is greater than or equal to 11.

Step-by-step explanation:

x+7≥18

7-7= 0            18-7=11

Bring down the x and the inequality to get...

x≥11

The solution to the inequality x + 7 ≥ 18 solved by isolating the value of x in the expression is x ≥ 11

Given the inequality :

Subtract 7 from both sides

x + 7 - 7 ≥ 18 - 7

x ≥ 11

Therefore, te solution to the inequality is x ≥ 11

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Answer:

11

Step-by-step explanation:

3 times 11 gives you 33 which would be the product

3 x 11 = 33

subtract the 12(twelve) from the 33(product)

33 - 12 = 21

To derive the Lagrangian dual for the given convex optimization problem, we introduce the Lagrange multiplier λ and construct the Lagrangian function as follows:

L(w, λ) = WERD + λ(1 - W^T x)

Here, w represents the optimization variable, λ is the Lagrange multiplier, and x is a fixed parameter. WERD represents the objective function of the original problem.

To find the Lagrangian dual, we need to minimize the Lagrangian function L(w, λ) with respect to w, while keeping λ fixed. This can be expressed as follows:

min_w L(w, λ) = min_w (WERD + λ(1 - W^T x))

To minimize the Lagrangian with respect to w, we take the derivative of L with respect to w and set it to zero:

∇w L(w, λ) = 0

Differentiating L with respect to w, we get:

∇w L(w, λ) = 2w - λx = 0

Simplifying the equation, we have:

w = (1/2λ)x

Substituting this value of w back into the Lagrangian function, we get:

L(w, λ) = (1/4λ^2)x^T x E R D + λ(1 - (1/4λ^2)x^T x)

Simplifying further, we obtain:

L(w, λ) = (1/4λ^2)x^T x E R D + λ - (1/4λ)x^T x

Finally, the Lagrangian dual function g(λ) is obtained by maximizing the Lagrangian over w:

g(λ) = max_w L(w, λ) = max_w [(1/4λ^2)x^T x E R D + λ - (1/4λ)x^T x]

Hence, the Lagrangian dual of the given convex optimization problem is g(λ) = (1/4λ^2)x^T x E R D + λ - (1/4λ)x^T x.

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the rate of change of the radius at the instant the volume equals 36π cm³ is 7 / (36π) cm/sec.

The volume V of a sphere with radius r is given by the formula V = (4/3)πr³. We are given that the rate of change of the volume is 7 cm³/sec. Differentiating the volume formula with respect to time, we get dV/dt =(4/3)π(3r²)(dr/dt), where dr/dt represents the rate of change of the radius with respect to time.

We are looking for the rate of change of the radius, dr/dt, when the volume equals 36π cm³. Substituting the values into the equation, we have: 7 = (4/3)π(3r²)(dr/dt)

7 = 4πr²(dr/dt) To find dr/dt, we rearrange the equation: (dr/dt) = 7 / (4πr²) Now, we can substitute the volume V = 36π cm³ and solve for the radius r: 36π = (4/3)πr³

36 = (4/3)r³

27 = r³

r = 3  Substituting r = 3 into the equation for dr/dt, we get: (dr/dt) = 7 / (4π(3)²)

(dr/dt) = 7 / (4π(9))

(dr/dt) = 7 / (36π)

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ARCH (Autoregressive Conditional Heteroscedasticity) models are estimated using Maximum Likelihood (ML) estimation. Regarding Question 7, if the model has the given conditional variance function, it corresponds to an ARCH(3) model.

In the case of ARCH models, the ML estimation process involves the following steps:

1. Specify the ARCH model: Determine the appropriate order of the ARCH model by analyzing the autocorrelation and partial autocorrelation functions of the squared residuals (or other suitable diagnostic tests). For example, an ARCH(3) model implies that the conditional variance at time t depends on the squared residuals at time t-1, t-2, and t-3.

2. Formulate the likelihood function: The likelihood function specifies the probability of observing the given data under the assumed ARCH model. In ARCH models, the likelihood function is constructed based on the assumption that the errors follow a normal distribution with mean zero and a time-varying conditional variance.

3. Maximize the likelihood function: The goal is to find the parameter values that maximize the likelihood function. This is typically achieved using numerical optimization techniques, such as the Newton-Raphson algorithm or the BFGS algorithm.

4. Estimate the parameters: Once the likelihood function is maximized, the estimated parameter values are obtained. These estimates represent the best-fitting values that maximize the likelihood of observing the given data.

Therefore, the answer to Question 7 is: ARCH(3).

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Answer:

slope=1/3

Step-by-step explanation:

slope=(y1-y2)/(x1-x2)

slope=(3-1)/(12-6)

slope=1/3

Answer:

you have to aline it with what graph it is.

Step-by-step explanation:

Answer:

I'd say the answer is A or B

Step-by-step explanation:

Since the colonists overtime had so many laws passed over that were cruel and unfair they went against the British with acts like the Tea Act which were preformed to turn against the British. (sorry if im wrong ^-^)

Answer: x=30 degrees

Step-by-step explanation:

A triangle has 180 degrees, so:

90+x+20+x+10=180

90+2x+30=180

2x+30=90

2x=60

x=30

Answer:

8

Step-by-step explanation:

The monthly payment on the car is approximately $640.62. The correct option is A

The formula for the monthly payment on a continuously compounded loan can be expressed as:

P = (r * A) / (1 - (1 + r)^(-n))

Where

Plugging in the given values, we get:

P = (0.046 * 35000) / (1 - (1 + 0.046/12)^(-6*12))

P ≈ $640.62

Therefore, the monthly payment on the car is approximately $640.62.

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1. Statement: True

Inverse: True

Contrapositive: True

Converse: True

2. Statement: True

Inverse: True

Contrapositive: True

Converse: True

3. Statement: True

Inverse: True

Contrapositive: True

Converse: True

(i)

Statement: If the difference x - y is even, then x and y are also even.

Inverse: If x and y are not even, then the difference x - y is not even.

Contrapositive: If x and y are not even, then the difference x - y is not even.

Converse: If x and y are even, then the difference x - y is even.

Statement: If a divides b or a divides c, then a divides bc.

Inverse: If a does not divide b and a does not divide c, then a does not divide bc.

Contrapositive: If a does not divide b and a does not divide c, then a does not divide bc.

Converse: If a divides bc, then a divides b or a divides c.

Statement: If x^2 ≥ 100 and x ≥ 0, then x ≥ 10.

Inverse: If x^2 < 100 or x < 0, then x < 10.

Contrapositive: If x^2 < 100 or x < 0, then x < 10.

Converse: If x ≥ 10, then x^2 ≥ 100.

(ii)

For each statement, we need to evaluate the truth values of the statement, inverse, contrapositive, and converse.

Statement: True

Inverse: True

Contrapositive: True

Converse: True

Statement: True

Inverse: True

Contrapositive: True

Converse: True

Statement: True

Inverse: True

Contrapositive: True

Converse: True

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Answer:

15

Step-by-step explanation:

First we need to make this list in order:

12,13,13,15,16,19,32

Now we find the middle number (this is what the median is):

15 is the middle number
There is no 2 middle numbers since the list has an odd number of items

Answer:

First Blank: 5

Second Blank: 5

Third Blank: -1

Fourth Blank: -1

Fifth Blank: 3

Step-by-step explanation:

10x+15y=15

-10x+2y=-32

__________

17y=-17

__   ___

17      17

y=-1

2x+3(-1)=3

2x-3=3

    +3  +3

________

2x=6

__  __

2     2

x=3

Answer:

see in solution

Step-by-step explanation:

2x+4+6x >18

2x+4-6x <18

8x>14 -4x <14

x>7/4 x <-7/2 False

6x-2x-4 <18

4x<22

x <11/2

7/4 <x <11/2

CHOOSE A

simple inequality calculation

If construction of many average quality homes began in an area that is known for having many high quality homes, it is likely that the overall property values of the homes in the neighborhood would decrease.

Explanation:

The presence of many high quality homes in a neighborhood tends to contribute to higher property values. These high quality homes often set a standard and attract buyers who are willing to pay a premium for the desirable location and quality of housing.

However, when a large number of average quality homes are constructed in the same area, it can lead to a dilution of the overall quality and desirability of the neighborhood. The increased supply of average quality homes may result in increased competition among sellers and a decreased demand from buyers who are seeking higher quality homes. As a result, property values in the neighborhood are likely to decrease.

Additionally, the introduction of average quality homes may also change the perception and reputation of the neighborhood. Buyers who were initially attracted to the area for its high quality homes may be less inclined to purchase in a neighborhood with a mixture of average and high quality homes, further impacting property values.

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A^T A is a positive definite matrix. To show that the matrix A^T A is positive definite, we need to demonstrate two things: it is symmetric, and all its eigenvalues are positive.

1. Symmetry of A^T A:

The transpose of a matrix preserves symmetry, so if A has linearly independent column vectors, then A^T will have linearly independent row vectors. Therefore, A^T A will also have linearly independent column vectors, making it a square matrix.

2. Eigenvalues of A^T A:

Let λ be an eigenvalue of A^T A and v be the corresponding eigenvector. We need to show that λ > 0.

Consider the equation:

A^T A v = λ v

Multiply both sides by v^T:

v^T (A^T A) v = λ (v^T v)

Using the fact that (AB)^T = B^T A^T, we can rewrite the left-hand side as:

(v^T A^T) (A v) = (A v)^T (A v) = ||A v||^2

Substituting this back into the equation, we have:

||A v||^2 = λ (v^T v)

Since v^T v is the squared length of the vector v, it is always nonnegative. Therefore, to ensure that λ is positive, we must have ||A v||^2 > 0.

Since A has linearly independent column vectors, for any nonzero vector v, A v will be nonzero. Thus, ||A v||^2 will always be positive, ensuring that λ > 0.

Therefore, A^T A is a positive definite matrix.

Note: It is important to note that the assumption of linearly independent column vectors of A is crucial for this proof. If the column vectors of A were linearly dependent, then A^T A would not be positive definite.

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Step-by-step explanation:

the general equation of a parabola is

y = f(x) = a(x - h)² + k

with (h, k) being the vertex.

compare it to the given function :

f(x) = (x + 3)² - 1

clearly,

k = -1

h = -3

so, the vertex is (-3, -1).

if a > 0, then the parabola opens up.

if a < 0, then the parabola opens down.

in our case, a = 1, so it opens up.

and that means the vertex is a minimum (as all other points will be "above" it, meaning their y- or f(x)-value will be larger).

Answer:

1. Coordinates of the vertex of the graph: (-3, -1)

2. The graph opens up.

2. The graph has a minimum.

Step-by-step explanation:

Currently, f(x) = (x + 3)^2 - 1 is in the vertex form of a quadratic equation.  The general equation of the vertex form is given by:

f(x) = a(x - h)^2 + k, where

1.  When dealing with the vertex form, the h coordinate becomes the opposite of what it is inside the parentheses.  Thus, h is -3 and k is -1.  Therefore, the coordinates of the vertex are (-3, -1).

2. Question #1:  We can imagine that there's an imaginary 1 in front of (x + 3)^2 and thus a = 1.

Since a = 1 and a > 0, the parabola opens up.

2. Question #2:  All parabolas that open up will by definition have a minimum.  Thus, the graph of the function f has a minimum.

The correct formula to multiply cell D5 by 105 and copy it to cell E5 would be A. =D5*105.

Calculating the sum of two or more numbers is the process of multiplication. 'A' multiplied by 'B' is how you express the multiplication of two numbers, let's say 'a' and 'b'. Multiplication in mathematics is essentially just adding a number repeatedly in relation to another number.

The formula =D5*105 is the correct formula to multiply the value in cell D5 by 105 and display the result in cell E5.

Let's break down the formula:

- D5: This refers to the value in cell D5, which is the number you want to multiply.

- *: This is the multiplication operator, used to multiply the value in D5.

- 105: This is the number you want to multiply cell D5 by.

So, when you enter the formula =D5*105 in cell E5, it will take the value in cell D5, multiply it by 105, and display the result in cell E5. If the value in cell D5 is, for example, 10, the formula will calculate 10 * 105 = 1050 and display the result 1050 in cell E5.

By copying the formula from cell E5 to other cells, it will adjust the cell references accordingly. For example, if you copy the formula to cell E6, it will update to =D6*105, multiplying the value in D6 by 105. This makes it easier to apply the same formula to multiple cells without having to rewrite it manually.

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Answer:

I cant see the photo

Step-by-step explanation:

but the answer is 1

The average values of the respective coordinates of the two endpoints of a line segment in a coordinate plane is also known as midpoint.

A midpoint is a point lying between two points and is in the middle of the line joining the two points. If a line is drawn joining the two points, then the midpoint is a point at the middle of the line and is equidistant from the two points.

The midpoint formula is defined for the points in the coordinate axes. Let (x)1, (y)1 and (x)2, (y)2 be the endpoints of a line segment. The midpoint is equal to half of the sum of the x-coordinates of the two points, and half of the sum of the y-coordinates of the two points.

Hence, the average values of the respective coordinates of the two endpoints of a line segment in a coordinate plane is also known as midpoint.

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The equation represents the relationship between x and y is y = 5x + 3

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

The table of values

On the table of values, we can see that

y is 3 more than five times x

When represented as an equation, we have

y = 5x + 3

Hence, the equation is y = 5x + 3

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The simplification of the algebraic expression gives (4n+ 4) / (n²+2n-15)

An algebraic expression is an expression that is made up of variables and constants, along with algebraic operations like addition, subtraction, square root, etc.

The expression can be simplified as follow:

First, find the LCM of (n-3) and (n+ 5). That is:

2/(n-3) + 2/(n+ 5) = [2(n+5) + 2(n-3)] / [(n-3)(n+ 5)]

                           = [2n+10 + 2n-6] / [n²+2n-15]

                           = (4n+ 4) / (n²+2n-15)

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Answer:

You will receive $24.66 in change.

Answer:

15,478,000

Step-by-step explanation:

Hope this helps:)

You just move the decimal to the right 7 units:)

Answer:

12 because 12/30 is equal to 40% and 2/5 is is equal to 40% too

Answer:

\( \frac{6}{25} \)

Step-by-step explanation:

\(P(A) = \frac{number \: of \: times \: A \: occurs}{total \: number \: of \: spins} \)

\(P(A) = \frac{12}{12 + 16 + 13 + 9} = \frac{12}{50} = \frac{6}{25} \)