a point f(–3, 1) is translated along the vector ⟨5, –1⟩.what are the coordinates of the image f′ ?

If we know that two angles form a linear pair, their measures will add together to get 180 degrees. It's important to note that linear pairs of angles are also adjacent angles.

Linear pairs of angles refer to two adjacent angles which create a straight line with their non-common sides. They both are supplementary angles. Supplementary angles refer to two angles with a sum equal to 180 degrees. Linear pairs of angles thus are a kind of supplementary angles. The term "linear pair" is used because these two angles are side by side and line up to form a straight line.

Therefore, the measures of two angles forming a linear pair add up to 180 degrees. For example, if one angle is 70 degrees, the measure of the other angle is 110 degrees. Linear pairs of angles are beneficial in math since they can assist in determining missing angles.

Given the measure of one angle in a linear pair, one can determine the measure of the other angle, knowing that the sum of the angles is 180 degrees.

Thus, if we know that two angles form a linear pair, their measures will add together to get 180 degrees. It's important to note that linear pairs of angles are also adjacent angles.

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WLS involves multiplying observation i by 1/ h_i, the WLS method will be viable without any further adjustments, this statement is True.

To use Weighted Least Squares (WLS) for estimating the Linear Probability Model (LPM) the steps are:

Step 1: Estimate the model using OLS and obtain the residuals, u_i.

Step 2: Determine whether all of the P(y|x1,x2) are inside the unit interval. If so, proceed to step 3. If not, adjust them so that all values fit inside the unit interval.

Step 3: Construct the estimated variance h_i = p(x_i) (1 - p(x_i)).

Step 4: Estimate the original model with weights equal to 1/ h_i.

Thus, the correct answer is True.

Suppose, for some i, y^i = −2.

Although WLS involves multiplying observation i by 1/ h_i, the WLS method will be viable without any further adjustments, this statement is True.

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The required statements and reasons to prove that DE is equal to CE is explained.

The triangle congruence theorem is a theorem that can be used to prove that two or more triangles are the same, considering the corresponding properties of the triangles. The properties are length of the sides, and measure of internal angles.

The statements and reasons to prove that DE is equal to CE are explained below using the triangle congruence theorem.

         STATEMENT                            REASON

1. AD = BC                                          Given

2. <BCD = <ADC                                Given

3. DC = DC                                         Reflexive property

4. ΔADC ≅ ΔBCD                              SAS

5. <EDC ≅ <ECD                                CPCTC

6. AC = BD                                          Definition of diagonal

7. DE = CE                                           Congruent sides of isosceles triangle

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Answer:d

Step-by-step explanation:

The answer is d. None of the above is true.

To calculate velocity, we need to use the equation:

Velocity = M * P / Y

Given:

M = 1,000

P = 2.25

Y = 2,000

Plugging in the values:

Velocity = 1,000 * 2.25 / 2,000

Simplifying:

Velocity = 2.25 / 2

The result is:

Velocity = 1.125

Therefore, the correct answer is: d. None of the above is true.

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Answer:

188.57 in

Step-by-step explanation:

Circumference = 2πr = 2πd/2 = πd

\( = \frac{22}{7} \times 60 \: in\)

= 188.57 in ( approx.)

Hassan originally had 200 goldfish

Step-by-step explanation:

Multiply 60 by 100, which will get you 6,000, then divide by 30 to get 200. The 100 is for the total percentage, the 30 is the percentage left.

Answer:

200goldfish

Step-by-step explanation:

since 30percent(100_70)is60 what about 100percent

100percent/30percent multiplied by 60goldfish=200

Therefore the answer is 200goldfish

The center point of an ordered data set is the: mean.

The mean of any data set is the middle or center data point of the data set when the data set is ordered in increasing or descending order.

For example, the center point of the data set, 4, 6, 7, 8, 9 is 7. 7 is the mean of the data set.

Therefore, the center point is the mean.

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Answer:

90-26=64

64 is the value of x

Step-by-step explanation:

Answer:

x= -4

Step-by-step explanation:

if you expand the equation you get

7x-7 = 5x-15

group the like terms together

7x-5x = -15+7

2x= -8

if you divide both sides by 2 to remain with x alone, you get

x=-4

Answer:

-4

Step by step explanation:

expand

7x-7=5x-15

subtract 5x

2x-7=-15

subtract -7

2x=-8

divide by 2

x=-4

The diagram that shows the X method being used correctly to factor the trinomial is (c)

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

2x² – 3x + 1

Next, we expand the expression

This gives

2x² – 2x - x + 1

Factorize the expression

2x(x - 1) -1(x - 1)

Factor out x - 1

(2x - 1)(x - 1)

The structure of the X method diagram is

               Product of factors

Coefficient of term 1       Coefficient of term 2

                  Sum of factors

In 2x² – 2x - x + 1, we have

Multiply the terms

Product = -2 * -1 = 2

Add the terms

Sum = -2 - 1 = -3

So, we have

          2

-2                     -1

          -3

Hence, the diagram is (c)

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Answer: The correct option is c

Step-by-step explanation:

I jus took the test on edge

Answer:

Three $5's and eleven $1's

Step-by-step explanation:

This is because the two chords are the same length, so they are the same distance away from the center.

We can prove this by drawing the following red segments as shown below. These segments are radii of the circle. After forming the two right triangles, note how we can use the hypotenuse leg (HL) theorem to prove the triangles congruent. So this leads to x = 9 because the corresponding pieces of the triangles must be the same.

Downsizing refers to the process of reducing the size and workforce of a company to cut costs, increase efficiency, or adapt to changing market conditions. It involves eliminating positions, reducing staff numbers, or even closing down certain business units or branches.

Downsizing can occur for various reasons, such as financial difficulties, mergers and acquisitions, technological advancements, or strategic reorganization. Companies often assess their operational costs and decide to downsize to improve their financial performance.

During the downsizing process, companies may calculate the potential cost savings by considering factors such as salaries, benefits, severance packages, and operational expenses. For example, if a company decides to eliminate 100 positions with an average salary of $50,000 per year, it could result in annual savings of $5 million.

While downsizing can help companies achieve short-term cost reductions, it often has significant implications for the affected employees, including layoffs, reduced morale, and increased workload for remaining staff. It is crucial for organizations to handle the downsizing process with sensitivity and transparency, providing support to affected employees and communicating the rationale behind the decisions.

It is important to note that downsizing should not be seen as a long-term solution, but rather as a strategic measure to address specific challenges. Companies should also explore alternatives to downsizing, such as retraining and redeploying employees, implementing productivity improvements, or seeking new business opportunities, to ensure sustainable growth and success in the long run.

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The chance that the hospital will run out of sleeping pills on any given day is 0.5000 (or 0.5000 with four decimal places).

To calculate the chance that the hospital will run out of sleeping pills on any given day, we can use the normal distribution and Z-score.

First, let's calculate the Z-score using the formula:

Z = (X - μ) / σ

Where:

X = consumption rate per day (1,155 pills)

μ = average consumption rate per day (1,155 pills)

σ = standard deviation (81 pills)

Z = (1,155 - 1,155) / 81

Z = 0

Now, we need to find the probability associated with this Z-score. However, since the demand for sleeping pills can be considered continuous and not discrete, we need to calculate the area under the curve from negative infinity up to the Z-score. This represents the probability of not running out of sleeping pills.

We discover that the region to the left of a Z-score of 0 is 0.5000 using a basic normal distribution table or statistical software.

To find the probability of running out of sleeping pills, we subtract this probability from 1:

Probability of running out of sleeping pills = 1 - 0.5000

Probability of running out of sleeping pills = 0.5000

Therefore, on any given day, the hospital has a 0.5000 (or 0.5000 with four decimal places) chance of running out of sleeping tablets.

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When the square root of x is equal to 2, the value of x^2 + x^3 is 80. This can be found by squaring both sides of the equation √(x) = 2 to eliminate the square root.

This gives x = 4. Substituting this value into the expression x^2 + x^3 results in 80. Given the equation √(x) = 2, we can square both sides to get rid of the square root: (√(x))^2 = 2^2. Simplifying, we find x = 4. Now, we substitute this value into the expression x^2 + x^3: 4^2 + 4^3.

Evaluating this expression, we get 16 + 64, which equals 80. Therefore, when x is a real number such that √(x) = 2, the value of x^2 + x^3 is indeed 80.

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Answer:

3/24 or 1/8 (either one)

Answer: 3/24

Step-by-step explanation:

The image replotted using a scale factor of 3 is attached accordingly. The mathematical effect that took place here is called dilation.

In math, the term "dilation" has a specific meaning. The term "dilation" refers to a transformation that is used to downsize or upscale an object.

Dilation is a technique for making items appear larger or smaller. The image created by this transformation is identical to the original shape.

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Answer:

x=2, y=-8/3. (2, -8/3).

Step-by-step explanation:

2x-3y=12

5x+3y=2

------------------

7x=14

x=14/7

x=2

2(2)-3y=12

4-3y=12

3y=4-12

3y=-8

y=-8/3

Answer:

5040a^2b^2

Step-by-step explanation:

(3a2b7)(5a3b8)

(42ab)(120ab) multiply everything inside each parenthensis

42ab * 12ab remove parenthesis

5040a^2b^2 multiply

As a result, 3.90 represents the top's angle to Jada.

Trigonometric identities are equations involving trigonometric functions that hold true for each possible value of the variables.

The area of mathematics known as trigonometry deals with particular angles' mathematical functions and how to use them. A common angle in trigonometry has six different functions. Sine, cosine, tangent, cotangent, secant, and cosecant are their names, respectively, as well as their acronyms (csc).

Trigonometric Identities are equality statements involving trigonometry functions that hold true for all values of the input variables in the equation. The side length and angle of a triangle are both subject to a variety of distinctive trigonometric identities.

The height of the Empire State building exists 1466.85 ft.

Let the given information be

She is 100 feet away when she spots it.

The top, she has to look up at an angle of 86.1 degrees.

\($$\begin{aligned}& =(\sin (86.10) \times 100) \div(\sin (3.90)) \\& =1466.85 \mathrm{ft} .\end{aligned}$$\)

Therefore, 3.90 represent the angle of the top to Jada.

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Component 3 must be started on day 197 to meet the delivery date of day 200.

To illustrate the backward schedule, we need to start from the delivery date (day 200) and work our way backward, taking into account the lead times and dependencies of each operation.

(a) Backward schedule:

Operation    |  Work Center  |  Time (hours)  |  Start Day

--------------------------------------------------------

Final Assembly |   Work Center 1  |        1       |     200

Sub-assembly 1 |   Work Center 2  |        2       |     199

Component 4     |   Work Center 3  |        3       |     197

Component 2     |   Work Center 4  |        4       |     196

Component 3     |   Work Center 5  |        3       |     ????

(b) To identify when component 3 must be started to meet the delivery date, we need to consider its dependencies and lead times.

From the backward schedule, we see that component 3 is required for sub-assembly 1, which is scheduled to start on day 199. The time required for sub-assembly 1 is 2 hours, which means it should be completed by the end of day 199.

Since component 3 is needed for sub-assembly 1, we can conclude that component 3 must be started at least 2 hours before the start of sub-assembly 1. Therefore, component 3 should be started on day 199 - 2 = 197 to ensure it is completed and ready for sub-assembly 1.

Hence, component 3 must be started on day 197 to meet the delivery date of day 200.

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or, - 12= - 5x-5-15

or, - 12= - 5x-20

or, - 12+20= - 5x

or, 8= - 5x

or, x= 8÷-5

Also,

F(x)= - 5(x+1+3)

or, f(8÷-5)= - 5(8÷-5+1+3)

= - 5(8-5-15÷-5)

= - 5×-12÷-5

= - 12 #

Pair of primal-dual basic solutions is \(x_1 = -3-S_1/2\).

Given that

Let z* be the common (finite) optimal value of P and D.

Suppose that I is a basic infeasible solution to P whose complementary dual basic solution is feasible.

Here, for linear program, we have to

Minimize {x1 : 2x1 - x2 \(\geq\) 0, -2x1 + 3x2 \(\geq\) - 6}, x1 \(\geq\) 0

Stimulate equation 1 and equation 2:

 \(2x_1 - x_2 = 0\\\\-2x_1 + 3x_2 = -6\)

Canceling \(-2x_2\) from both the equations, we get

\(2x_2\) = -6

= \(x_2\) = -3

So now,

\(2x_1 + 3 + S_1 = 0\\\\x_1 = -3-S_1/2\)

Hence the answer is pair of primal-dual basic solutions is \(x_1 = -3-S_1/2\).

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The simplest form of the sum of the mixed fraction  \(3\frac{2}{6} + 9\frac{4}{10}\) is \(12\frac{11}{15}\)

A fraction represented with its quotient and remainder is a mixed fraction.

Given is a sum of two mixed fractions, \(3\frac{2}{6} + 9\frac{4}{10}\)

Converting into the simplest forms,

\(3\frac{2}{6} + 9\frac{4}{10}\\\\= \frac{20}{6} + \frac{94}{10} \\\\= \frac{10}{3} + \frac{47}{5} \\\\= \frac{50+141}{15} \\\\= \frac{191}{15} \\\\= 12\frac{11}{15}\)

Hence, the simplest form of the sum of the mixed fraction  \(3\frac{2}{6} + 9\frac{4}{10}\) is \(12\frac{11}{15}\)

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Answer:

the answer:  b= -1

Step-by-step explanation:

Answer:

11.4

Step-by-step explanation:

Find the distance in the x-direction between the x-components:  2 - (-7) = 9.

Similarly: between the y-components:  1 - (-6) = 7

Apply the Pythagorean Theorem:  9^2 + 7^2 = d^2, where d is the desired distance:

81 + 49 = d^2, or d^2 = 130

The distance d is approximately √130 ≈ 11.4

Answer:

Square root of 130

Step-by-step explanation:

Use the distance formula:

\(d = \sqrt{(x_2 - x_1)^2 + (y_2-y_1)^2}\)

\((x_{1}, y_{1} )\) is your first set of coordinates : (2, -6)

\((x_{2}, y_{2} )\)is your second set of coordinates : (-7, 1)

Answer:

Hey there!

You would write that as 2(9-n), where n is the number.

Hope this helps :)