Plot the GNP series, gnp, and then test for a unit root against the alternative that the process is explosive. State your conclusion.
Hint: [in R]
library(astsa)
library(tseries)
head(gnp)
print(gnp)

Answer:

1 is x=6

2 is x=-2

Step-by-step explanation:

Answer:

x=4

Step-by-step explanation:

.......................

Answer:

Clockwise rotation of 90 degrees and reflection across a vertical line. (as shown in picture)

Step-by-step explanation:

Hope this helps! Please let me know if you need more help, or if you think my answer is incorrect. Brainliest would be MUCH appreciated. Have a great day! :)

To find the unit rate, we need to determine how much distance Margo covers in one unit of time. We can do this by dividing the distance by the time.

Distance = 1/4 mile

Time = 1/12 hour

Unit rate = Distance ÷ Time

Unit rate = (1/4 mile) ÷ (1/12 hour)

We can simplify this division by multiplying both the numerator and denominator by the least common multiple of 4 and 12, which is 12.

Unit rate = (1/4 mile) ÷ (1/12 hour) x (12/12)

Unit rate = (3/4 mile) ÷ 1 hour

Unit rate = 3/4 mile per hour

Therefore, Margo's unit rate is 3/4 mile per hour. This means that she can cover a distance of 3/4 mile in one hour of walking.

Answer:

3mph

Step-by-step explanation:

1/12 of an hour will be 5 min. In 5 min she can walk 1/4 mile then in one hour she can walk 1/4 x 12. This means her rate will be 3 miles per hour.

60/12 = 5

12 x 1/4 = 12/4 = 3

Answer:

  right from the y-axis

Step-by-step explanation:

The ordered pair (3, 4) is understood to be the (x, y) coordinates of the point Paul wants to plot.

__

The x-coordinate (3) is the number of spaces the point lies to the right of the y-axis.

The y-coordinate (4) is the number of spaces the point lies above the x-axis.

__

If Paul is moving 3 spaces from the y-axis, he will be moving to the right to get to where he will plot the point.

The required money saved is $9,256 after 6% sales tax.

Given that,
Ben bought a house for $102,850 and received a rebate of 15% off. He paid 6% in sales tax, how much did he save is to be determined.

The process in mathematics to operate and interpret the function to make the function or expression simple or more understandable is called simplifying and the process is called simplification.

Here,
rebate amount = 105850 × 0.15 = $15,877
sale tax = 105850 × 0.06 = $6171
Money saved = 15, 877 - 6171 = $9,256

Thus, the required money saved is $9,256 after 6% sales tax.

Learn more about  Percentage here:

https://brainly.com/question/1369388

#SPJ1

Answer:

A and B are the correct answers

The equation that represent the given situation is 2 ( x +y) = 60 and 2x +2y = 60, the correct option is A, and B.

An equation is a mathematical statement formed when two algebraic expressions are equated using an equal sign.

The equations are useful in determination of unknown parameters.

A rectangle is a polygon with four sides, the opposite sides of a rectangle is parallel and equal.

The perimeter of a rectangular room is 60 feet.

The perimeter of a rectangle is given by,

P = 2 ( Length + Breadth)

Let x be the width of the room  (in feet).

Let y be the length of the room (in feet).

Substituting the values in the formula to get the equation.

60 = 2 ( x +y)

2 ( x +y) = 60 ---------- (1)

2x +2y = 60 ------------(2)

Therefore, the equations that could model this is situation 2 ( x +y) = 60 and 2x +2y = 60.

To know more about Equation

https://brainly.com/question/10413253

#SPJ6

Answer:

Amount water added = 4.5 L

Step-by-step explanation:

Given:

Amount of solution = 9 L

Amount of bane-berry = 3% of 9 L = 0.27 L

Computation:

Assume;

Amount water added = x L

Total solution = 9+x L

New percentage of bane-berry = 0.27x100/(9+x)

2 = 0.27*100/(9+x)

x = 4.5 L

Amount water added = 4.5 L

Answer:

C

Step-by-step explanation:

ahahahahhahahahahahahahhahahannooooooooooooooooonoooo

Answer:

APR

Step-by-step explanation:

Just answered on A p e x

The cost of the packaging will be D. 1/4x²/x + 2.

From the information given, the cost of packing a box of chocolates is given by 1/4x², where x is the number of chocolates and a box can never have fewer than 3 chocolates.

The weight of the box is also given as x+2. The cost of the packaging will be:

= Cost of packing a box of chocolate / Weight of a box of chocolate

= 1/4x²/x + 2.

In conclusion, the correct option is D.

Learn more about cost on:

brainly.com/question/2516101

#SPJ1

The exact volume of below figure will be (4/3)πr³ + πr²h

The term "volume" refers to the amount of space occupied by a three-dimensional object or region in space. It is a measure of how much space is enclosed by the boundaries of the object.

However, if we assume that the hemispheres are identical with a radius of "r" and the cylinder has a height of "h" and the same radius of "r", then we can calculate the volume of the figure as follows:

The volume of each hemisphere is (2/3)πr³, so the total volume of both hemispheres is (4/3)πr³.

The volume of the cylinder is πr²h.

Therefore, the total volume of the figure is (4/3)πr³ + πr²h.

To know more about Volume, visit:

brainly.com/question/13338592

#SPJ1

The statistics that always corresponds to the 75th percentile in a distribution include the following: B. Third Quartile.

In Mathematics and Statistics, IQR is an abbreviation for interquartile range and it can be defined as a measure of the middle 50% of data values when they are ordered from lowest to highest.

Mathematically, interquartile range (IQR) of a data set is the difference between third quartile (Q₃) and the first quartile (Q₁):

IQR = Q₃ - Q₁ = 75th percentile - 25th percentile.

In this context, we can reasonably infer and logically deduce that the 75th percentile in a distribution is always equal to the third quartile.

Read more on interquartile range (IQR) here: brainly.com/question/17658705

#SPJ1

Answer:

it's B

Step-by-step explanation:

you find the hypotenuse by doing the square of each length and adding them then finding the square root of the added lengths the you get your answer.

To know which proportion is true, we have to multiply as follows:

A.

This is not true.

B.

This is not true.

C.

This is not true.

D.

This is true.

Answer: D.

Steps to solve:

-2x > -6

~Divide -2 to both sides

x < 3

Best of Luck!

\(\framebox{\parbox[t][1.0cm]{4.50cm}{\addvspace{0.2cm} \centering $ \;\; \,x<3 \;\; \;\; $ } }\\\)

Step-by-step explanation:

\(-2x>-6\)

To solve this inequality, you must first divide(both sides of the inequality).

\(\frac{-2x}{-2} >\frac{-6}{-2}\)

Now we got an answer!

\(x<3\)

Hope this helps!

The length of line x in the figure of the cube given is 19.

Calculate the length of the base of the cube, which is the diagonal of the lower sides :

base length = √10² + 6²

base length = √136

The length of x is the diagonal of the cube

x = √(√136)² + 15²

x = √136 + 225

x = √361

x = 19

Therefore, the length of line x in the figure given is 19.

Learn more on length : https://brainly.com/question/23008020

#SPJ1

Using translation concepts, we have that:

A translation is represented by a change in the function graph, according to operations such as multiplication or sum/subtraction either in it’s definition or in it’s domain. Examples are shift left/right or bottom/up, vertical or horizontal stretching or compression, and reflections over the x-axis or the y-axis.

For function f(x), the multiplication by -1 of the function is in the output, meaning that it was a reflection over the y-axis. For function g(x), the multiplication is in the input, the domain, hence the reflection was over the x-axis.

More can be learned about translation concepts at https://brainly.com/question/4521517

#SPJ1

Answer:

see below

Step-by-step explanation:

a x (b+c) = a x b + a x c

Let A= -35 , B = 10 , C= -5

-35 * ( 10 -5) = -35 *10 + -35 * -5

-35 *(5) = -350 + 175

-175 = -175

the rate of discount will be 33.0986%.

What is Rate?

A rate in arithmetic is a ratio that contrasts two separate values with various unit systems. For instance, if John types 50 words per minute, that means he types 50 words per minute. We are dealing with a rate because the word "per" is there. The symbol "/" can be used in place of the word "per" in issues.

When two or more similar amounts or numbers are being compared using the same units, a ratio is utilized. When referring to the ratio of one quantity "to" the second quantity in spoken language, it is frequently written with a colon.

listed price = $1136,

net Price = $760

discount = 1136-760 = $ 376

rate of discount = discount / listed Price*100

= 376/1136 *100

33.0986%

Hence the rate of discount will be 33.0986%.

Learn more about Rate, by the following link.

https://brainly.com/question/25793394

#SPJ1

The factors of (24x⁶ - 1029y³) are 3, (2x² - 7x), (4x⁴ +14x²y+49y²)  

When a polynomial is factored, its prime factorization is used to break it down into the product of two or more other polynomials. Polynomials may be easily simplified with the use of factoring.

When a polynomial is factored, its factors are expressed as the polynomial's product. Finding the zeros of the polynomial expression or the values of the variables in the supplied expression are both made possible by factoring polynomials.

Here we have

24x⁶ - 1029y³  

Take 3 as common

=> 3(8x⁶ - 343y³)  

As we know 8 = 2³ and 343 = 7³

=> 3[(2x²)³ - (7y)³]  

From the algebraic identities

Take a = 2x² , b = 7y and apply above formula

=> 3[(2x² - 7x)((2x²)²+(2x²)(7y)+(7y)²)]  

=> 3 [ (2x² - 7x) (4x⁴ +14x²y+49y²)]  

Therefore,

(24x⁶ - 1029y³) = 3 (2x² - 7x) (4x⁴ +14x²y+49y²)  

Therefore,

The factors of (24x⁶ - 1029y³) are 3, (2x² - 7x), (4x⁴ +14x²y+49y²)  

Learn more about Factors of Polynomials at

https://brainly.com/question/28315959

#SPJ9

Answer:

\( \dfrac{580}{9} \)

Step-by-step explanation:

\( \dfrac{1}{5}x + \dfrac{1}{4}x = 29 \)

\( \dfrac{4}{20}x + \dfrac{5}{20}x = 29 \)

\( \dfrac{9}{20}x = 29 \)

\( x = 29 \times \dfrac{20}{9} \)

\( x = \dfrac{580}{9} \)

Answer: \( \dfrac{580}{9} \)

It's the last option again. You have 1 linear factor (3x) and 2 copies of a quadratic factor (x² + 10), and the partial fractions with the quadratic factor need to have a linear polynomial in the numerator.

The product and the quotient of the functions are as follows:

(rs)(4) =8

(r / s)(3) = 2

A function relates input and output. It relates an independent variable with a dependent variable.

Therefore, let's solve the function as follows:

r(x) = 2√x

s(x) = √x

Therefore, let's find

(rs)(4) = r(4) × s(4) = 2√4 × √4 = 4 × 2 = 8

Let's find

(r / s)(3) = r(3) / s(3) = 2√3 / √3 = 2

Therefore,

(rs)(4) =8

(r / s)(3) = 2

learn more on function here: https://brainly.com/question/17430065

#SPJ1

∠LMN is an obtuse angle.

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

Explanation

Let's go through the answer choices to see which are true, and which are false.

Answer:

there are a few types of 'expanded form' but i`ll just do this one

seventy-one thousand, six hundred and twenty-one

Answer:

1) x=14, y=7

2) x=2, y=7

3) SAS (Side-Angle-Side)

Step-by-step explanation:

1) x-4=y+3

x=2y

substitute

2y-4=y+3

2y-y=3+4

y=7

x-4=7+3

x=10+4

x=14

ANSWER = x=14, y=7

2) y+5=2y-x

y+x=x+7

From the second equation, we can immediately see that y=7, so

7+5=2(7)-x

12=14-x

x=14-12

x=2

ANSWER = x=2, y=7

Answer:

any number that has a 7 in the hundreds place

examples:

736

63,781

39,732

There are no solutions to the system of inequalities Option (d)

Inequalities are a fundamental concept in mathematics and are commonly used in solving problems that involve ranges of values.

A system of two inequalities is a set of two inequalities that are considered together. In this case, the system of inequalities is

y > 3x + 1

y < 3x - 3

The inequality y > 3x + 1 represents a line on the coordinate plane with a slope of 3 and a y-intercept of 1. The inequality y < 3x - 3 represents another line on the coordinate plane with a slope of 3 and a y-intercept of -3. We can draw these lines on the coordinate plane and shade the regions that satisfy each inequality.

The first line has a positive slope and goes through (negative 2, negative 5) and (0, 1). Everything to the left of the line is shaded. The second line has a positive slope and goes through (0, negative 3) and (1, 0). Everything to the right of the line is shaded.

We can start by analyzing the inequality y > 3x + 1. This inequality represents the region above the line with a slope of 3 and a y-intercept of 1. Therefore, any point that is above this line satisfies this inequality.

Next, we analyze the inequality y < 3x - 3. This inequality represents the region below the line with a slope of 3 and a y-intercept of -3. Therefore, any point that is below this line satisfies this inequality.

To determine which values satisfy both inequalities, we need to find the region that satisfies both inequalities. This region is the intersection of the regions that satisfy each inequality.

When we analyze the regions that satisfy each inequality, we see that there is no region that satisfies both inequalities. Therefore, there are no values that satisfy the system of inequalities shown.

There are no solutions to the system of inequalities y > 3x + 1 and y < 3x - 3 by analyzing the regions that satisfy each inequality on a coordinate plane. The lack of a solution is determined by the fact that there is no region that satisfies both inequalities.

To know more about Inequalities here

https://brainly.com/question/28823603

#SPJ1

Complete Question :

Which is true about the solution to the system of inequalities shown?

y > 3x + 1

y < 3x – 3

On a coordinate plane, 2 solid straight lines are shown. The first line has a positive slope and goes through (negative 2, negative 5) and (0, 1). Everything to the left of the line is shaded. The second line has a positive slope and goes through (0, negative 3) and (1, 0). Everything to the right of the line is shaded.

Options:

a)Only values that satisfy y > 3x + 1 are solutions.

b)Only values that satisfy y < 3x – 3 are solutions.

c)Values that satisfy either y > 3x + 1 or y < 3x – 3 are solutions.

d)There are no solutions.

Answer:

D

Step-by-step explanation:

The length of e is given as follows:

e = 29.5 inches.

Suppose we have a triangle in which:

The lengths and the sine of the angles are related as follows:

\(\frac{\sin{A}}{a} = \frac{\sin{B}}{b} = \frac{\sin{C}}{c}\)

Considering that the sum of the measures of the internal angles of a triangle is of 180º, the measure of angle E is given as follows:

<E = 180 - (140 + 5)

<E = 35º.

Hence the length e is obtained applying the law of sines as follows:

sin(35º)/e = sin(140º)/33

e = 33 x sine of 35 degrees/sine of 140 degrees

e = 29.5 inches.

More can be learned about the law of sines at https://brainly.com/question/4372174

#SPJ1