(02.01 LC)The figure shows triangle PQR and some of its transformed images on a coordinate grid:5c2PR2 3 465432-10BAWhich of the four triangles was formed by a translation of triangle PQR? (1 point)ОАО СOD

The regression equation is Y = −12.201 + 2.195x.

In the given question,

A regression analysis shows the following results.

                                    Coefficients       Standard Error       t-Stat      p-value

Intercept                        −12.201                     6.560            −1.860       0.100

Number of contacts         2.195                      0.176             12.505      0.000

We have to find the regression equation.

Given that,

Coefficient of Intercept(a) = −12.201

Coefficient of Number of contacts(b) = 2.195

The regression equation is,

Y = a + bx

Y = −12.201 + 2.195x

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The right question is:

A sales manager for an advertising agency believes there is a relationship between the number of contacts that a salesperson makes and the amount of sales dollars earned. A regression analysis shows the following results.

                                    Coefficients       Standard Error       t-Stat      p-value

Intercept                        −12.201                     6.560            −1.860       0.100

Number of contacts         2.195                      0.176             12.505      0.000

What is the regression equation?

Answer:

36..............!!!!

Answer:

37.4

Step-by-step explanation:

1.4 times 11 and subtract that from 52.8

Answer:

Step-by-step explanation:

No explanation is needed because there is no question.

Answer:

you got it

Step-by-step explanation:

no explanation needed

Answer: Choice A)  \(3 \sqrt{26}\)

==================================================

Work Shown:

\(\text{The two points are } (x_1,y_1) = (6,7) \text{ and } (x_2,y_2) = (3,-8)\\\\d = \text{Distance between } (x_1,y_1) \text{ and } (x_2,y_2)\\\\d = \sqrt{(x_1-x_2)^2+(y_1-y_2)^2} = \text{Distance Formula}\\\\d = \sqrt{(6-3)^2+(7-(-8))^2}\\\\d = \sqrt{(6-3)^2+(7+8)^2}\\\\\)

\(d = \sqrt{(3)^2+(15)^2}\\\\d = \sqrt{9+225}\\\\d = \sqrt{234}\\\\d = \sqrt{9*26}\\\\d = \sqrt{9}*\sqrt{26}\\\\d = 3\sqrt{26}\\\\\)

When going from 234 to 9*26, the idea here is to factor where one factor is the largest perfect square possible. That way we can use the rule \(\sqrt{x*y} = \sqrt{x}*\sqrt{y}\) to break up the root and simplify.

Answer:

4

Step-by-step explanation:

4+3a=16

-4. -4

3a=12

/3. /3

a=4

Answer: See below

Step-by-step explanation:

The first is a beaker, it's used to measure liquid volume

The second is a ruler, it's used to measure length.

Last is a thermometer, it's used to measure temperature.

You need to multiply by 5 instead of 6 because each pair of opposite faces on a cuboid has the same area, so by considering one face from each pair, you ensure that you don't count any face twice.

When calculating the total surface area of a cuboid, you need to understand the concept of face pairs.

A cuboid has six faces, but each face has a pair that is identical in size and shape.

Let's break down the reasoning behind multiplying by 5 instead of 6 in the given scenario.

To find the surface area of a cuboid, you can add up the areas of all its faces.

However, each pair of opposite faces has the same area, so you avoid double-counting by only considering one face from each pair. In this case, you have five pairs of faces:

(1) top and bottom, (2) front and back, (3) left and right, (4) left and back, and (5) right and front.

By multiplying the average area of a pair of faces by 5, you account for all the distinct face pairs.

Essentially, you are considering one face from each pair and then summing their areas.

Since all the pairs have the same area, multiplying the average area by 5 gives you the total surface area.

When dividing 150 by 4 (to find the average area of a pair of faces), you are essentially finding the area of a single face.

Then, by multiplying this average area by 5, you ensure that you account for all five pairs of faces, providing the total surface area of the cuboid.

Thus, multiplying by 5 is necessary to correctly calculate the total surface area of the cuboid by accounting for the face pairs while avoiding double-counting.

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Answer:

The valid point is (5/2, 5)

Step-by-step explanation:

In order to check which ones are valid we will apply all of them to the expression.

(5,15):

\(\frac{2}{5}x - \frac{1}{5}y \geq 0\\\\\frac{2}{5}5 - \frac{1}{5}15 \geq 0\\\\-1 \geq 0\)

False.

(1/2, 5):

\(\frac{2}{5}x - \frac{1}{5}y \geq 0\\\\\frac{2}{5}\frac{1}{2} - \frac{1}{5}5 \geq 0\\\\-\frac{4}{5} \geq 0\)

False.

(5/2, 5):

\(\frac{2}{5}x - \frac{1}{5}y \geq 0\\\\\frac{2}{5}\frac{5}{2} - \frac{1}{5}5 \geq 0\\\\0 \geq 0\)

True.

(2,5):

\(\frac{2}{5}x - \frac{1}{5}y \geq 0\\\\\frac{2}{5}2 - \frac{1}{5}5 \geq 0\\\\-\frac{1}{5} \geq 0\)

False

(-1,0):

\(\frac{2}{5}x - \frac{1}{5}y \geq 0\\\\\frac{2}{5}(-1) - \frac{1}{5}0 \geq 0\\\\-\frac{2}{5} \geq 0\)

False.

Answer:

The missing value is 56.

Step-by-step explanation:

All side angles must add up to 180. So given the 2 angle measures 30+94 = 124.

Then subtract 180 from 124 to get your answer of 56.

When you add up all the angles, it gets you 180 evenly.

Answer:

2a squared - 4a

Step-by-step explanation:

12 a^2 - 3a - 10a^2 - a

12 - 10 = 2

-3 - 1 = -4

2a^2 - 4 a

The given function y = 4(3/8)^x represents exponential decay.

As x increases, the value of y decreases at an increasingly rapid rate, reflecting the decay behavior of the function.

The given function is y = 4(3/8)^x. To determine if the function represents growth, decay, or neither, we need to examine the base of the exponent, which is (3/8).

When the base of an exponential function is between 0 and 1, such as (3/8) in this case, it represents exponential decay. This is because as the exponent (x) increases, the value of the function decreases.

In the given function, the coefficient 4 multiplied by the decaying exponential term (3/8)^x indicates that the function starts with an initial value of 4 and then exponentially decreases. The term (3/8)^x represents the decay factor, where x determines the extent of decay.

Therefore, we can conclude that the given function, y = 4(3/8)^x, represents exponential decay. As x increases, the value of y decreases at an increasingly rapid rate, reflecting the decay behavior of the function.

In summary, the given function y = 4(3/8)^x represents exponential decay.

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(A) The required down payment is $48,000.

(B) The amount of the mortgage is $192,000.

(C) Monthly payment = $192,000 * (0.085/12) * (1 + (0.085/12))^(3012) / (((1 + (0.085/12))^(3012)) - 1)

(a) To find the required down payment, we need to calculate 20% of the house price.

Down payment = 20% of $240,000

Down payment = 0.2 * $240,000

Down payment = $48,000

The required down payment is $48,000.

(b) The amount of the mortgage is equal to the total cost of the house minus the down payment.

Mortgage amount = Total cost of the house - Down payment

Mortgage amount = $240,000 - $48,000

Mortgage amount = $192,000

The amount of the mortgage is $192,000.

(c) To find the monthly payment for the mortgage, we can use the formula for the monthly payment on a fixed-rate mortgage:

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

Where:

P = Principal amount (mortgage amount)

r = Monthly interest rate (8.5% annual interest divided by 12 months and converted to a decimal)

n = Total number of monthly payments (30 years multiplied by 12 months)

Monthly payment = $192,000 * (0.085/12) * (1 + (0.085/12))^(3012) / (((1 + (0.085/12))^(3012)) - 1)

Using this formula and performing the calculation will give you the monthly payment amount.

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The required equation that represent the hanger is 10 + 5x = 11 and the value of x is 1/5.

Given the diagram of the hanger which one side has 10 + 5x  and other side has 11.

To find the equation, equate the expression of one side to the numerical value of the other side. On solving the equation gives the value of x.

Thus, the equation is 10 + 5x = 11.

Consider the equation 10 + 5x = 11

On subtracting 10 from each side gives,

5x = 1

Divide each side by 5 gives,

x = 1/5.

Hence,  the required equation that represent the hanger is 10 + 5x = 11 and the value of x is 1/5.

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Answer:

The notation Σ-2 (3η + 5) is incorrect for representing the arithmetic series 8 + 11+ ... + 29.

The correct notation for the arithmetic series 8 + 11 + ... + 29 should be:

Σ_{i=1}^{11} (6i + 2)

The series has 11 terms, and each term can be found by adding 3 to the previous term, starting with the first term 8. Therefore, the general form of the series is 6i + 2, where i represents the index of the term in the series.

In contrast, the notation Σ-2 (3η + 5) appears to have multiple errors. The use of a negative index (-2) is not valid, as the index should start from 1 or 0. Also, the use of the Greek letter eta (η) instead of i as the index variable is unconventional and likely to cause confusion. Finally, the expression inside the parentheses does not appear to correspond to the terms of the arithmetic series.

The correct notation for the arithmetic series 8 + 11 + ... + 29 should be:

Σ_{i=1}^{11} (6i + 2)

To explain the error in the given notation Σ-2 (3η + 5), we can break it down as follows:

The use of a negative index (-2) is incorrect. The index of summation should always be a non-negative integer.

The use of the Greek letter eta (η) instead of i as the index variable is unconventional and may cause confusion or errors.

The expression inside the parentheses, 3η + 5, does not represent the terms of the arithmetic series. In particular, it does not involve the index variable i or the common difference 3.

Therefore, the correct notation for the given arithmetic series is Σ_{i=1}^{11} (6i + 2).

Answer:

answer in explination

Step-by-step explanation:

A fixed value. In Algebra, a constant is a number on its own, or sometimes a letter such as a, b or c to stand for a fixed number. Example: in "x + 5 = 9", 5 and 9 are constants.

I dont really know what the question is so i just put what "Value of the constant" is

Answer:

He will pay $1.20 sales tax.

Step-by-step explanation:

Answer:

It costs 19 cents or 0.19 dollars per fluid ounce.

Step-by-step explanation:

4.75 divided by 25 is 0.19. 0.19 is 19 cents.

Answer:

19

Step-by-step explanation:

Answer:

4) is a function 5) is not a function

Step-by-step explanation:

4) This is a function because even tho some numbers in the domain have the same y value that doesnt mean the x values overlap. THink of it graphically or draw points do the points overlap? It shouldn't unlike question 5!

5) This is NOT a function. Why??? This is because now all numbers except 4 have more than one y value for one x value

for example: 1 has -1 and 3

That would overlap!!

Answer:

Step-by-step explanation:

You want the complete factorization of x³ +4x² -4x -16.

Pairing terms of the given polynomial, we have ...

  (x³ +4x²) -(4x +16)

Factoring each pair gives ...

  x²(x +4) -4(x +4)

  = (x² -4)(x +4)

The factorization of x² -4 is found using the form for factoring the difference of squares:

  a² -b² = (a +b)(a -b)

  x² -4 = (x +2)(x -2)

Note that x+2 is a factor here.

The complete factorization of the given polynomial is ...

  x³ +4x² -4x -16 = (x +4)(x +2)(x -2)

This is confirmed by the graph, which shows zeros at x = -4, -2, 2.

Answer:

12

Step-by-step explanation:

a general linear function can be written as

y= mx +b

where "m" is the pendient and "b" it's the point where the funcion has x=0

so u have to solve your ec. for y

\(6x + by = k\)

\(by = - 6x + k\)

\(y = - \frac{6}{b}x + \frac{k}{b} \)

if u see your graph, when x=0 the function's value is 1, so k/b= 1, then k=b

then if we know b , we know k

as I said, m is the pendient, in this case -(6/b) is the pendient

As u may know, the pendient equals tan(alpha)

in this case alpha its the angle between the positive x axis and the function (the big one), we dont have that angle in a triangle to know its tangent, but we have (180-alpha) the littleone, and its tangent is 1/2 (see your graph)

so, for redunction to the first quadrant we have that

\( \tan( \alpha ) = - \tan(180 - \alpha ) = - \frac{1}{2} \)

then,

\( - \frac{6}{b} = - \frac{1}{2} \)

b=12

k=12

The value of k if the equation of the line drawn is 6x + by = k will be 12.

A general linear function can be written as; y= mx +b, where "m" is the pendient and "b" it's the point where the funcion has x=0

Given that;

6x + by = k

by = k - 6x

y = k/b - 6x/b

When x=0 the function's value is 1, thus, k/b= 1, then k=b

In this case -(6/b) is the pendient

The angle between the positive x axis and the function (the big one), we dont have that angle in a triangle to know its tangent, but we have (180-alpha) the littleone, and its tangent is 1/2.

then,

-6/b = -1/2

b=12

k=12

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Answer:

No

Step-by-step explanation:

Step 1: Write equation

8u - 1 = 6u

Step 2: Solve for u

∴ u = -1/2 is NOT a solution.

Answer:

No, u = 1/2

Step-by-step explanation:

Step 1:

8u - 1 = 6u      Equation

Step 2:

2u - 1 = 0    Subtract 6u on both sides

Step 3:

2u = 1    Add 1 on both sides

Answer:

u = 1/2     Divide

Hope This Helps :)

To find the equation of the line that passes through ( -702, 178.5) and (100, -22)

we will use the formula;

From the points given:

x₁=-702 y₁=178.5 x₂ =100 y₂=-22

substituting into the formula;

Simplifying;

open the parenthesis;

y - 178.5 = -0.25x - 175.5

y= -0.25x - 175.5 + 178.5

y= -0.25x + 3

Answer:

Option 2: \(f^{(-1)}(x) = -\frac{3}{4x}\) is the correct answer.

Step-by-step explanation:

Given function is:

\(f(x) = -\frac{3}{4x}\)

There are few steps to find inverse of a function. We will apply them one by one onto the function

Step 1: Replacing f(x) with y

\(y = -\frac{3}{4x}\)

Step 2: Replacing y with x and x with y

\(x = -\frac{3}{4y}\)

Step 3: Solving the equation in step 2 for y

\(x = -\frac{3}{4y}\\y = -\frac{3}{4x}\)

Step 4: Replacing y with inverse of f

\(f^{(-1)}(x) = -\frac{3}{4x}\)

Hence,

Option 2: \(f^{(-1)}(x) = -\frac{3}{4x}\) is the correct answer.

The perimeter of the given triangle with given lengths is; 78

The perimeter of a triangle is defined as the sum total of the 3 side lengths of the triangle.

Now, we are given the triangle as QRS.

We are given that;

A is the midpoint of QR

B is the midpoint of RS

C is the midpoint of SQ

Thus;

QA = RA = 10

BR = SB = 15

SQ = 28

Thus;

Perimeter of Triangle = 2(10) + 2(15) + 28 = 78

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Answer:

\(6\)

Step-by-step explanation:

if

\( \frac{3}{4} = 1.5 \\ \\ \frac{4}{4} = \frac{4}{4} \times 1.5 \times \frac{4}{3} \\ \\ = 6\)

Answer:

Valerie can cut 13 2/3 ft pieces.

Step-by-step explanation:

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