Find the value of k so that the system of equation has no solution
kx + 6y = 6
y = 2/3x - 4

We use the Serial Autocorrelation in the classical linear regression model.

In the classical linear regression model the serial autocorrelation is assumed to solve the problem.

Hence, we use the Serial Autocorrelation in the classical linear regression model.

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The exponential function has an equation of f(x) = 2(3)^x

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

(0, 2) and (1,6)

Also, we understand that

Function type = Exponential function

An exponential function is represented as

f(x) = ab^x

At point (0, 2), we have

2 = ab^0

Evaluate

a = 2

Substitute a = 2 in f(x) = ab^x

f(x) = 2b^x

At point (1, 6), we have

6 = 2b^1

This gives

2b = 6

Divide

b = 3

So, we have

f(x) = 2(3)^x

Hence, the equation of the exponential function is f(x) = 2(3)^x

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An equation that represents a vertical shrinkage of the graph of g(x)=1/3|x|-1 by a factor of three.

Given,

f(x) = |x|-3;

vertical shrink by a factor of = 1/3

Therefore,

g(x)=1/3|x|-1

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Answer:

Step-by-step explanation:

a=apples

a/7

The number of green marbles removed from the bag is 3.

We will use the Formula of Probability:

In mathematics, the probability is defined as the ratio between the number of favorable outcomes and the total number of outcomes.

p(A) = n(A) / n(S)

p(A) is the probability of event A.

n(A) is the number of outcomes with respect to A.

n(S) is the total number of possible outcomes.

Given in the Question:

A bag contains 14 blue, 6 red, 12 green, and 8 purple marbles.

So the total number of marbles in the bag = 40

It is given that 25 marble are removed from the bag randomly

thus, the remaining marbles in the bag = 40 - 25 = 15

It is given that the probability of drawing a green marble from the bag after removing 25 marbles is 3/5.

So, for finding the number of green marbles in the bag after removing we can write,

n(A) = p(A) × n(S)

here, A is the event of drawing the number of green marbles and p(A) = 3/5 and  n(s) = 15 (after removing)

Thus, the number of green marbles in the bag after removing = 3/5 × 15

So, the number of green marbles left in the bag = 9

then, the green marbles removed from the bag = 12 - 9 = 3.

Therefore, only 3 green marbles are removed from the bag.

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Answer: D.

Step-by-step explanation:

Solution of the equation 3x-2y = 5 for domain {-3} is (-3,-7).

Given,

Eq => 3x - 2y = 5

Domain = x = -3

Put x = -3 in equation

3(-3) - 2y = 5

   -9 - 2y = 5

     -9 - 5 = 2y

         -14 = 2y

            y = - 14 / 2

               = -7

Hence, solution is (-3,-7).

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Answer:

4√3

Step-by-step explanation:

This is a special right triangle with angle measures 30°-60°-90° and side lengths represented with a-a√3-2a respectively to angle measures.

Here, hypotenuse is given as 8 which is represented with 2a, so a = 4

Then x will be 4√3 as it's represented with a√3.

The value of x is [tex]4\sqrt{3}[/tex] .

What is a trignometric function?

The trigonometric functions are real functions which relate an angle of a right-angled triangle to ratios of two side lengths.

Mention all trignometric function ?

sinФ ,cosФ ,tanФ ,cosecФ ,secФ ,cotФ

What is the trick to remember trignometric formulas ?

Some People Have Curly Brown Hair Turned Permanently Brown

sinФ=[tex]\frac{p}{h}[/tex]

cosФ=[tex]\frac{b}{h}[/tex]

tanФ=[tex]\frac{p}{b}[/tex]

cosecФ=[tex]\frac{h}{p}[/tex]

secФ=[tex]\frac{h}{b}[/tex]

tanФ=[tex]\frac{b}{p}[/tex]

Given:

A right angled triangle with

base, b

perpendicular, p

hypotenuse, h=8

angle ,Ф = 60°

So by trignometric formulas ,we get

sinФ = sin60° =[tex]\frac{p}{h}[/tex]

⇒[tex]\frac{\sqrt{3} }{2} = \frac{x}{8}[/tex]

⇒[tex]x = 4\sqrt{3}[/tex]

Hence ,the value of x is obtained .

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Answer:6, 6, 12

Step-by-step explanation

2 sides must be equal which means 6 and 6 points  are moving towards each other and 12 is the length

The perimeter of the floor in the scale drawing is 32 inches.

Using ratio and proportion, determine the width of the scale drawing of the floor.

actual length / scale length = actual width / scale width

36 feet / 9 inches = 28 feet / scale width

scale width = 28 feet (9 inches / 36 feet)

scale width = 7 inches

Perimeter is defined as distance around a two-dimensional shape.

The perimeter of a rectangle can be calculated using the formula below.

P = 2(l + w)

where P = perimeter

l = length

w =width

Plug in the values of the dimension of the scale drawing and determine its perimeter.

P = 2(l + w)

P = 2(9 inches + 7 inches)

P = 32 inches

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Con base en el uso de simbología para el acertijo, la edad del conductor es 27 años.

Los acertijos no deben ser entendidos literalmente, sino simbólicamente. Cada elemento representa algo figurativo.

Este acertijo parece incoherente debido a estar incompleto y es preciso añadir un criterio adicional que permita brindar sentido al contenido, este criterio es asumir que un pasajero simboliza un año, que el autobús simboliza al conductor, que el ingreso de un pasajero implica sumar un año a la edad del conductor, que el egreso de un pasajero implica restar un año a la edad del conductor y que la población resultante dentro del autobús es la edad del conductor.

En consecuencia, efectuamos la siguiente operación para determinar la edad del conductor:

x = 56 - 31 + 18 - 16

x = 27

El conductor tiene una edad de 27 años.

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Answer:

I believe the answer is Yes because there is a constant arithmetic sequence and I believe the common difference is 4.

In permutation, ³¹C₅  are there to select 5 scoops of ice cream to put into a bowl .

What are some examples of permutation?

Total ice cream flavor n = 31 flavor

selection of (r) = 5 scoop

total number of ways to select 5 scoops of ice cream from 31 flovers

                                                   = ³¹C₅

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Answer:

8, 16, 32

Step-by-step explanation:

using the recursive formula [tex]U_{n+1}[/tex] = 2[tex]U_{n}[/tex] and U₁ = 4 , then

U₂ = 2 U₁ = 2 × 4 = 8

U₃ = 2 U₂ = 2 × 8 = 16

U₄ = 2 U₃ = 2 × 16 = 32

The total amount that was shared  $245000 .

In the question ,

the ratio of amount shared by JoJo and Frifi is given

the ratio is given as 3:4  .

the amount that JoJo get = 3x

the amount that Frifi get = 4x

given that Frifi got $140000 .

So , 4x = 140000

Dividing both sides by 4 ,

we get ,

x = 140000/4

x = 35000

total amount shared = 3x + 4x = 7x

Substituting the values of x = 35000 , we get

total amount shared = 7*35000

= 245000

Therefore , The total amount that was shared  $245000 .

The given question is incomplete , the complete question is

JoJo and Frifi shared an amount in the ratio 3:4 respectively , if Frifi had $140000 , then find the total amount that was shared ?

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The AGI and taxable income is $23,670 and $11,270

How to calculate AGI(Adjusted gross income) ?

The AGI calculation can be done as,

We have given that,

Gross income = $23670

1 Exemption = $12400

Adjustment = 0

Deduction = 0

Find AGI and Taxable income

AGI = Adjusted gross income

we know,

AGI = Total income - Any deduction or any adjustment  

AGI = ($23,670 + $12400)  - (0 + 0)

AGI = $36070

Now, Calculate taxable income

Taxable income = Gross income - 1 Exemption

                           = $23670 - $12400

                           = $11,270

Hence, the AGI and taxable income is $36,070 and $11,270

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Answer: D is the answer

Step-by-step explanation:

$23,670 and $11,270

ANSWER :

[tex] \rm{1.)16a {}^{3}b {}^{17} }[/tex]

= (2ab^5)^4

= 2ab^5×2ab^5×2ab^5×2ab^5

= 16a^4b^9

= 16a^4b^9/ab^3

= 16a^3b^17

[tex] \rm2.) \frac{x {}^{6} y {}^{10} }{a {}^{2}b {}^{14} } [/tex]

= (x^3y^5)^2

= (x^6y^10)

= (ab^7)^2

= (ab^14)

= (x^6y^10)/ab^14

[tex] \rm3.)4mn {}^{7} [/tex]

= 5mn^7 - 1

= 4mn^7

The amount of Interest Tristan pays is $955.2

Given:

Tristan borrows $4000 at an interest rate of 7.4% with a loan term of 3 years.

we are asked to determine the interest Tristan pays for it:

we know:

P = $4000

r = 7.4%

t = 3 years.

Evaluate :

I = 4000(1+7.4%)³ - 4000

I = 4000(1+0.074)³ - 4000

I = 4000(1.074)³ - 4000

I = 4000(1.2388) - 4000

I = 4955.2 - 4000

I = 955.2

Hence we get the required interest as $955.2

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Answer:
y = -1/3x + 1

Step-by-step explanation:

1) For a perpendicular line, the slope is the opposite reciprocal. What this means is that, the slope will be the opposite sign and flipped.

~-1/3 will be the new slope

2) Then you have to rewrite the problem using the point slope form which is y - y1 = m(x-x1). The values that we will be plugging in for x1 and y1 will be from the coordinate that you provided.

~ y - (-2) = -1/3(x-9)

3) Now simplify everything you can
~y+2 = -1/3(x-9)

4) Now distribute the -1/3
~y+2 = -1/3x + (9)(1/3)
~y+2 = -1/3x + 3

5) Now we need to subtract 2 from both sides to get y by itself.

~y = -1/3x + 1

Based on the real number line shown below, each statement should be completed as follows:

In Mathematics, a number line can be defined as a type of graph with a graduated straight line which comprises both positive and negative numbers that are placed at equal intervals along its length.

This ultimately implies that, a number line primarily increases in numerical value towards the right from zero (0) and decreases in numerical value towards the left from zero (0).

Therefore, both -0.1525 and -1/5 would be represented by the letters that are on the left hand side of the real number line while 9/5 would be represented by a letter that is on the right hand side, which are letters b, a, and f respectively;

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Answer:

Step-by-step explanation:

And here is how to use it:

Example: simplify √12

12 is 4 times 3:

√12 = √(4 × 3)

Use the rule:

√(4 × 3) = √4 × √3

And the square root of 4 is 2:

√4 × √3 = 2√3

So √12 is simpler as 2√3

Another example:

Example: simplify √8

√8 = √(4×2) = √4 × √2 = 2√2

(Because the square root of 4 is 2)

And another:

Example: simplify √18

√18 = √(9 × 2) = √9 × √2 = 3√2

It often helps to factor the numbers (into prime numbers is best):

Example: simplify √6 × √15

First we can combine the two numbers:

√6 × √15 = √(6 × 15)

Then we factor them:

√(6 × 15) = √(2 × 3 × 3 × 5)

Then we see two 3s, and decide to "pull them out":

√(2 × 3 × 3 × 5) = √(3 × 3) × √(2 × 5) = 3√10

Fractions

There is a similar rule for fractions:

root a / root b  = root (a / b)

Example: simplify √30 / √10

First we can combine the two numbers:

√30 / √10 = √(30 / 10)

Then simplify:

√(30 / 10) = √3

Some Harder Examples

Example: simplify  

√20 × √5

√2

See if you can follow the steps:

√20 × √5

√2

√(2 × 2 × 5) × √5

√2

√2 × √2 × √5 × √5

√2

√2 × √5 × √5

√2 × 5

5√2

Example: simplify 2√12 + 9√3

First simplify 2√12:

2√12 = 2 × 2√3 = 4√3

Now both terms have √3, we can add them:

4√3 + 9√3 = (4+9)√3 = 13√3

Answer:

Step-by-step explanation:

(2 1/2) : (1/4) = 10/1 =10

The probability that the average completion time for a sample of 28 students will be more than 24 minutes is 0.46

The mean of freshman mason basic completion time  is 24.6 minutes

The standard deviation is 5.8 minutes

The probability of completion for a sample of 28 students will be more than 24 minutes and can be found using the normal distribution,

                      P(x > 24)

We need to find the standard form of this random sample using the formula,

              Z = X - μ / σ

where Z is the standard form

           X is the random sample

          μ is the mean

          σ is the standard deviation

Let us substitute the known values in the above equation, we get

                  Z = 24 - 24.6/5.8

                     = -0.6 / 5.8

                     = -0.103

So the standard form is

         P(x > 24) = P(z > -0.103)

By using the z-table, we could find the value of z,

        P(z > -0.103) = 0.46

Therefore, the probability is 0.46

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For x to be a solution, there must be the quantity x in the equation.

All the equations that contain x are :
+) 24 - 2x = 13
+) 4  + 5x = 18
+) 2x - 3 = 15
+) 3x + 2 = 25

We will solve for the value of x for each of the equation :

+) 24 - 2x = 13
-> 2x = 24 - 13 = 11
-> x = 11/2 = 5.5

+) 4 + 5x = 18
-> 5x = 18 - 4 = 14
-> x = 14/5 = 2.8

+) 2x - 3 = 15
-> 2x = 15 + 3 = 18
-> x = 18/2 = 9

+) 3x + 2 = 25
-> 3x = 25 - 2 = 23
-> x = 23/3.

We can see, only the equation 2x-3 = 15 has x=9 as a solution.

Answer:

x< -1

Step-by-step explanation:

x^3 < 9 - 10

x^3 < -1

x< -1

Answer:

x < -1

Step-by-step explanation:

x³<9-10

x³<-1

x < -1

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Answer:

Step-by-step explanation:

$9.85   / 10   ≈ $0.99

Answer:

403.071

Step-by-step explanation:

add

With the help of permutanions and combinations we can conclude the answer.

acc to our question-

Hence ,permutanions and combinations concept helped us to reach our solution.

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