Find the image of the given point
under the given translation.
P(-9, -2)
T(x, y) = (x + 6, y − 4)
P' = ([?], [])

Answer: 15

Step-by-step explanation: in y=mx+b B= the y-intercept aka where the line touches the y axis

Answer:

Y= 15 or (0,15) that is the answer, hope it's not to late

The function f(z) = f(1/z) for every z ∈ ℂ{0} implies that f(z) is symmetric with respect to the unit circle. Since f(z) ∈ ℝ for z ∈ OD(0; 1), we can extend this symmetry to the real axis and conclude that f(z) ∈ ℝ for z ∈ ℝ{0}.

Consider the function g(z) = f(z) - f(1/z). From the given condition, we have g(z) = 0 for every z ∈ ℂ{0}. We can show that g(z) is an entire function. Let's denote the Laurent series expansion of g(z) around z = 0 as g(z) = ∑(n=-∞ to ∞) aₙzⁿ.

Since g(z) = 0 for every z ∈ ℂ{0}, we have aₙ = 0 for every n < 0, since the Laurent series expansion around z = 0 does not contain negative powers of z. Therefore, g(z) = ∑(n=0 to ∞) aₙzⁿ.

Now, let's consider the function h(z) = g(z) - g(1/z). We can observe that h(z) is also an entire function, and h(z) = 0 for every z ∈ ℂ{0}. By the Identity Theorem for holomorphic functions, since h(z) = 0 for infinitely many points in ℂ{0}, h(z) = 0 for every z ∈ ℂ{0}. Thus, g(z) = g(1/z) for every z ∈ ℂ{0}.

Now, let's focus on the real axis. For z ∈ ℝ{0}, we have z = 1/z, which implies g(z) = g(1/z). Since g(z) = f(z) - f(1/z) and g(1/z) = f(1/z) - f(z), we obtain f(z) = f(1/z) for every z ∈ ℝ{0}. This means that f(z) is symmetric with respect to the real axis.

Since f(z) is symmetric with respect to the unit circle and the real axis, and we know that f(z) ∈ ℝ for z ∈ OD(0; 1), we can conclude that f(z) ∈ ℝ for every z ∈ ℝ{0}.

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200 is the mean absolute deviation. Therefore, choice three (200) is the right one.

The absolute difference between the predicted and actual values must be determined, added together, and divided by the total number of periods.

Forecasted values are as follows: 1,500 and 1,400

Values in actuality: 1,200 and 1,500

Absolute differences:

|1,500 - 1,200| = 300

|1,400 - 1,500| = 100

Now, we calculate the MAD:

MAD = (300 + 100) / 2 = 400 / 2 = 200

Therefore, 200 is the mean absolute deviation. Therefore, choice three (200) is the right one.

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Answer:

There are five rows and ten columns

Answer:

5 rows and 10 columns i think

Step-by-step explanation:

Step-by-step explanation:

According to the base of similarity, then

12÷6=8÷x

12x=48

=4

6+4=

10

Answer:

2 dollars

Step-by-step explanation:

if you add all the numbers and subtract them by 100 you left with 2

Answer:

  18.8 inches

Step-by-step explanation:

You want the length of arc traveled by the tip of a 4" minute hand moving from 1:30 pm to 2:15 pm.

The time difference between 2:15 and 1:30 is 45 minutes, or 3/4 hour. The minute hand moves through an angle of 2π radians in 1 hour, so will move through an angle of (3/4)(2π) = 3/2π radians in 3/4 hour.

The length of an arc is given by the formula ...

  s = rθ

where r is the radius, and θ is the central angle in radians.

Here, we have r = 4 in, and θ = 3π/2. The arc length is ...

  s = (4 in)(3π/2) = 6π in ≈ 18.8496 in

The minute hand moves through an arc of about 18.8 inches from 1:30 to 2:15.

Answer:

n=4750

n+ 4250=9000

-4250= 4250

n= 4750

Answer:

Step-by-step explanation:

idea

Answer:

\(m=20c\)

Step-by-step explanation:

Let m represent the total money collected and c represent the amount of cars washed.

We know that the money collected is directly proportional to the number of cars washed. So, we can write the following equation:

\(m=kc\)

Where k is a constant.

We know that the money collected after 7 car washes is $140. So, let's find our k by substituting 140 for m and 7 for c. This yields:

\(140=7k\)

Find k. Divide both sides by 7:

\(k=20\)

So, the value of k is 20.

We can now substitute k back into our direct variation equation:

\(m=20c\)

This means that every car costs $20 to wash.

And we're done!

Answer:

7x140=980

Step-by-step explanation:

7x140= what

The statement is false. The population median is the value that divides the population into two equal halves, and the sample median is the middle value of a data set for an odd number of observations.

The population median is the value that separates the population into two equal parts, with 50% of the values falling below it and 50% above it. It is not necessarily exactly at the 50th percentile, as the data may not be evenly distributed. The population median is a fixed value for the entire population.
On the other hand, the sample median is the middle value of a data set when the number of observations is odd. It is obtained by arranging the data in ascending order and selecting the middle value. When the number of observations is even, the sample median is the average of the two middle values. This is done to find the value that is in the center of the data set.
Therefore, the statement that the population median is 50% of the values and the sample median is the average of the two middle observations for an odd number of observations is false. The population median is not necessarily at the 50th percentile, and the sample median is the middle value for odd observations.

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Answer:

Yes there is

Step-by-step explanation:

x is increasing by 2 each time

y is increasing by 2 each time as well

Answer:

no it's equal to 3/2 because 2 negatives equal a positive number

hope this helps

have a good day :)

Step-by-step explanation:

Answer:

No, it's not equivalent

Step-by-step explanation:

\(-(\frac{3}{2} ) = 1\frac{1}{2\\}\)

\(-\frac{3}{2} = -1\frac{1}{2}\)

Answer:

  43 ft

Step-by-step explanation:

You want to know the maximum height of a rock whose height is given by the equation H = -16t² +29t +30.

One way to find the maximum height is to rewrite the height function to vertex form.

  H = -16(t² -29/16t) +30

  H = -16(t² -29/16t +(29/32)²) +30 +16(29/32)²

The last two terms sum to the maximum height:

  Hmax = 30 +16(29/32)^2 = 43 9/64

The maximum height is about 43 feet.

__

Additional comment

The finished vertex form equation is ...

  H = -16(t -29/32)² +43 9/64

This tells us the maximum height occurred when t=29/32.

Answer:

k = 12

Step-by-step explanation:

(x^2 + 16x + 64) - (x^2 + 4x - 32)

distributing - 1

x^2 +16r + 64 - x^2 - 4x + 32

12x +96

take a factor of 12

12(x + 8)

K = 12

Should be 40ft. If not, I dearly apologize.

Answer:

40ft tall

Step-by-step explanation:

Hope this helps :)

Answer:

\(\frac{13}{4}\)

Step-by-step explanation:

\(\frac{3}{4} +\bigg(\frac{1}{3}\div\frac{1}{6}\bigg)-\bigg(-\frac{1}{2}\bigg)\\=\frac{3}{4} + \bigg(\frac{1}{3}\times\frac{6}{1}\bigg)+\frac{1}{2}\\=\frac{3}{4} +2 + \frac{1}{2}\\=\frac{3}{4} +\frac{8}{4} + \frac{2}{4}\\=\frac{3+8+2}{4} \\=\frac{13}{4} \\= 3.25\)

In graph theory, a vertex cover of a graph is a set of vertices that covers all the edges in the graph. On the other hand, an independent set is a set of vertices that have no edges connecting them.

In this context, it is important to note that a vertex cover and an independent set are mutually exclusive.

That is, a vertex cannot belong to both the vertex cover and the independent set simultaneously.

In many cases, the determination of the minimum size of a vertex cover is one of the fundamental problems in graph theory.

Similarly, the determination of the maximum size of an independent set in a graph is also a significant problem in graph theory. The problems are typically addressed using various algorithms and heuristics.

However, in some cases, it is possible to establish the relationship between the vertex cover and the independent set in a graph. For instance, if a graph is a bipartite graph, then the vertex cover and the independent set are the same size.

This result is known as König's theorem and is one of the most important results in graph theory. In conclusion, the fact that each vertex belongs to the vertex cover or the independent set is not a coincidence.

It is a fundamental property of graphs that has significant implications for various problems in graph theory.

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\(\dfrac{0.25}a = -0.25\\\\\implies 0.25 = -0.25 a\\\\\implies a = \dfrac{0.25}{-0.25} =-1\\\\\\\text{Hence the answer is}~ -1.\)

Answer:

well, when you divide 1/.25 you get 4 so 1^.25 is the correct answer to all questions where you need to find the answer

Step-by-step explanation:

Answer:

Two times two minus eight

An equation of the plane through the point (-1, -5, 1) and perpendicular to the vector (5, 4, 2) can be -4x + 5y - 2z = 11.

First, the normal vector of the plane must be determined. The vector perpendicular to the given vector (5, 4, 2) is (-4, 5, -2).

Now, the equation of the plane can be determined using the given point and the normal vector. The standard form of the equation of a plane is Ax + By + Cz = D.

We can use the point (-1, -5, 1) and the normal vector (-4, 5, -2) to calculate the values of A, B, C, and D in the equation. To do this, we can use the point-normal form of the equation of a plane.

The point-normal form is (x - x1) × nx + (y - y1) × ny + (z - z1) × nz = 0. We can plug in the point and normal vector values into this equation to calculate A, B, C, and D.

Therefore, the equation of the plane is -4x + 5y - 2z = 11.

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Answer:

mmmm. give it to. meeee.

Answer:

(D)$81

Step-by-step explanation:

Given that the number of purses a vendor sells daily has the probability distribution represented in the table.

Expected Value, \(E(x)=\sum_{i=1}^{n}x\cdot p(x)\)

Therefore:

\(E(x)=(0X0.35)+(1X0.15)+(2X0.2)+(3X0.2)+(4X0.03)+(5X0.07)\\=0+0.15+0.4+0.6+0.12+0.35\\E(x)=1.62\)

If each purse sells for $50.00, the number of expected daily total dollar amount taken in by the vendor from the sale of purses

=Expected Value X $50

=1.62 X $50

=$81

The correct option is D.

1. The Millers pay $675.00 each month to repay  their mortgage loan.

2. The Miller's average monthly expenditure for the telephone is $41.00.

3. Miller's average monthly expenditure for transportation is $433.52.

4. It is not possible to determine the amount that the Millers save each month because their net monthly earnings are not disclosed.

The average monthly expenditure is determined by adding the monthly expenses for July, August, and September, and then dividing the result by 3.

The average is the quotient of the total value in the data set divided by the number of items.

                                   July         August    September       Total      Average

Mortgage Loan     $675.00     $675.00     $675.00   $2,025.00  $675.00 ($2,025.00 ÷ 3)

Telephone               $37.85       $47.29        $37.85       $122.99     $41.00 ($122.99 ÷ 3)

Transportation:

Gasoline                $118.60       $123.36       $96.74       $338.70

Car loan               $278.50      $278.50     $278.50      $835.50

Car Repair            $126.36                                              $126.36

Total for Transportation                                              $1,300.56    $433.52 ($1,300.56 ÷ 3)

Thus, the average monthly expenditure for transportation includes car payments and costs for gasoline, repairs, and so on added and divided by 3 months.

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Answer:

sqrt of 3m (sorry I can't figure out how to get the symbol)

Step-by-step explanation:

M+2n^2=7m

2n^2=7m-m

2n^2=6m

n^2=3m

n= sqrt(3m)

Answer:

If he walks 1 dog he will make 8$ if he walks two dogs he will earn 16$ if he walks 3 dogs he will make 24$

Answer:

-125

Step-by-step explanation:

Step-by-step explanation:

1.x+1

1+1 is 2