Period Year Sales (yd) 164 2019 160 164 216 2019-period 1 2019-period 2 2019-period 3 2020-period 1 2020-period 2 2020-period 3 2021-period 1 2021-period 2 2021-period 3 2020 156 227 165 2021 187 168 Find the seasonal index (ST) for period 2 (Round your answer to 2 decimal places)

The solution to the monomial in standard form is  0.04b^19.

The term "polynomials in standard form" can also refer to a polynomial written in the decreasing order of the degree of the variable.

The degree of the polynomial is significant when writing it in its standard form since the terms are written in descending order of the power of x.

Given that:

= (-0.2b^6)^3*5b

Rewrite using the commutative property of multiplication

= 5(-0.2b^6)^3b

Apply the product rule to −0.2b^6

= 5(-0.2^3)(b^6)^3b

= 5(-0.008b^18)b

= 5(-0.008^19)

= 0.04b^19

Learn more about the standard form here:

https://brainly.com/question/19169731

#SPJ1

Answer:

Step-by-step explanation:

The slope of a line given two points can be found by using the formula

\(m = \frac{ y_2 - y _ 1}{x_ 2 - x_ 1} \\\)

where

(x1 , y1) and (x2 , y2) are the points

From the question the points are (-11, -19) & (-11, -10)

The slope is

\(m = \frac{ - 10 - - 19}{ - 11 - - 11} = \frac{ - 10 + 19}{ - 11 + 11} = - \frac{9}{0} \\ \)

Any number divided by zero is undefined so the slope of the line here is undefined.

Hope this helps you

The length of SR will be 15 units, using Pythagoras' theorem

What is Pythagoras' theorem?

The hypotenuse's square is equal to the sum of the squares of the other two sides if a triangle has a straight angle (90 degrees), according to the Pythagoras theorem. Remember that BC2 = AB2 + AC2 in the triangle ABC signifies this. Base AB, height AC, and hypotenuse BC are all used in this equation. The longest side of a right-angled triangle is its hypotenuse, it should be emphasized.

Triangle SRT and triangle TRQ can be compared using the image. Since both triangles have equal sides and right angles (T), they are both triangles (RT)

Using Pythagoras theorem,  

RQ² = TQ² + TR²

20² = TR² + 16²

TR = 12

SR/RQ = TR/TQ

SR / 20 = 12 / 16

SR = 15 units

Hence the length of SR will be 15 units.

Learn more about Pythagoras theorem, by the following link

https://brainly.com/question/231802

#SPJ4

Answer:

I think 24.

Step-by-step explanation:

In light of the fact that the total is even, the probability of rolling a 6 is around 18.75%.

It is now the favorable results and all potential outcomes in order to calculate the likelihood of rolling a 6 provided that the sum is even.

Let's start by thinking about the positive outcomes:

Two four-sided dice can be used to roll a total of 6 in any of the following ways:

(1, 5), (2, 4), (3, 3), (4, 2), and (5, 1).

Three of these five outcomes—2 and 4, 3 and 2, respectively—have an even total.

Next, let's compute all potential outcomes:

Rolling two four-sided dice results in a total of 16 potential outcomes since each four-sided die has four equally likely possibilities (1, 2, 3, and 4).

Given that the amount is even, there are 3 favorable results out of a potential total of 16 when rolling a sum of 6:

Probability is calculated as follows: 3/16, or 0.1875, or 18.75%, of all conceivable outcomes are favorable.

Thus, in light of the fact that the total is even, the likelihood of rolling a 6 is around 18.75%.

Learn more about probability, here:

https://brainly.com/question/2153833

#SPJ4

Answer:

Danby's fridge is for less so your right!

Step-by-step explanation:

Answer:

Looks good :)

Step-by-step explanation:

Step-by-step explanation:

Theorem: If n is the sum of five consecutive integers, then n is divisible by 5. Conversely, if n is divisible by 5, then n is the sum of five consecutive integers. In particular, this gives n = 5m + 10 = 5(m + 2) and, since m + 2 is an integer, this shows n is divisible by 5.

Answer:

2 + 3 + 4 + 5 + 6 = 20

20/5 = 4

Answer:

X = 14

Step-by-step explanation:

30 = 5x + 2

25         60

multiply both sides by 60

1800/25 = 5x + 2

Multiply both sides by 25

1800 = 25 (5x + 2)

1800 = 125x + 50

  -50.            -50

1750 = 125x

divide both sides by 125

14 = x

Answer:

x=14

Step-by-step explanation:

Similar Shapes

Two figures that have the same shape are said to be similar.

If two figures are similar, the ratios of the lengths of their corresponding sides are equal.

We are given two similar shapes and the lengths of two corresponding sides:

25 corresponds to 30

60 corresponds to 5x+2

According to the definition:

\(\displaystyle \frac{5x+2}{60}=\frac{30}{25}\)

Multiplying by 60*25:

\(25(5x+2)=60(30)\)

Operating:

\(125x+50=1800\)

Subtracting 50:

\(125x=1800-50=1750\)

Dividing by 125:

\(x = 1750/125 =14\)

x=14

If we sample the function x(t) = cos(75t) at the Nyquist frequency, the resulting discrete frequency would be half of the Nyquist frequency, which is equal to half of the highest frequency component in the continuous signal.

In this case, the highest frequency component in x(t) is 75 Hz, as determined by the coefficient of t in the cosine function. According to the Nyquist-Shannon sampling theorem, to accurately represent a signal, the sampling frequency must be at least twice the highest frequency component. Therefore, the Nyquist frequency in this scenario would be 2 * 75 Hz = 150 Hz.

Since we are sampling at the Nyquist frequency, the resulting discrete frequency would be half of the Nyquist frequency, which is 150 Hz / 2 = 75 Hz. Hence, when sampling x(t) at the Nyquist frequency, the resulting discrete frequency would be 75 Hz.

Learn more about Nyquist frequency here:

brainly.com/question/18917438

#SPJ11

There are 28 ways to choose 6 teams for the playoffs if there are 8 college basketball teams in a certain sub-division.

To determine the number of ways to choose 6 teams for the playoffs out of the 8 college basketball teams in a certain Sub-Division, we can use the combination formula. The formula for combinations is given by

nCr = n! / (r! * (n-r)!),

where n represents the total number of teams and r represents the number of teams to be chosen.

In this case, n = 8 and r = 6.

Plugging in these values, we have

8C6 = 8! / (6! * (8-6)!) = 8! / (6! * 2!) = (8 * 7) / (2 * 1) = 28.

Therefore, there are total 28 ways to choose 6 teams.

To know more about ways refer here:

https://brainly.com/question/4318885

#SPJ11

The equation "14 + 5x -11 = 7x + 3 - 2x" has infinitely many solutions, so any value of "x" will satisfy the equation.

In order to solve for "x" in the equation "14 + 5x - 11 = 7x + 3 - 2x", we need to simplify the expression by combining like terms:

14 + 5x - 11 = 7x + 3 - 2x

Simplifying the LHS,

We get,

3 + 5x = 7x + 3 - 2x

Simplifying the RHS,

We get,

3 + 5x = 5x + 3

Subtracting 5x from both sides,

We get,

3 = 3

The equation simplifies to 3 = 3, which is always true.

This means that the equation has infinitely many solutions and that any value of "x" will satisfy the equation.

Therefore, there is no unique value of "x" that can be found from the equation.

Learn more about Expression here

https://brainly.com/question/17513857

#SPJ1

The given question is incomplete, the complete question is

Find the value of "x" in the expression "14+5x -11= 7x+3-2x".

The AREA of the parcel of land area is 14382 sq yd nearest square yard

We can see that the parcel of land is an isosceles triangle with two 45-degree angles. Therefore, the triangle is a 45-45-90 triangle, and the length of each leg is equal to x (say).

We know that the longest side (hypotenuse) is approximately 240.42 yards. Using the relationship in a 45-45-90 triangle, we can write:

longest side = x√2

240.42 = x√2

x = 240.42/√2

x ≈ 169.71

Therefore, the length of each leg is approximately 169.71 yards.

To find the area of the triangle, we can use the formula for the area of a triangle:

area = 1/2 * base * height

In a 45-45-90 triangle, the base and height are equal (since the triangle is isosceles), so we can use either leg as the base and height.

Using x = 169.71 as the base and height, we get:

area = 1/2 * 169.71 * 169.71

area ≈ 14382.42

Rounding to the nearest square yard, we get: area ≈ 14382 sq yd.

Learn more about  isosceles triangle at https://brainly.com/question/1475130

#SPJ1

The coordinates of the middle point M is found as  (-7,0) of the line segment AB.

For the given question;

The two coordinates of the points are given ;

A( -4,4) = (x₁, y₁)

B (-10,-4) = (x₂, y₂)

The middle point M of this line segment is found as;

M(x, y) = (x₁ + x₂)/2 , (y₁ + y₂)/2

Put the values in the formula;

M(x, y) = (-4 - 10)/2 , (4 - 4)/2

M(x, y) = (-14)/2 , 0

M(x, y) = (-7,0)

Thus, the coordinates of the middle point M is found as  (-7,0).

To know more about the middle point of coordinates, here

https://brainly.com/question/15883833

#SPJ13

The cost of one computer is £600 and the cost of one printer is £800.

Computing equipment is bought from a supplier. The cost of 5 Computers and 4 Printers is £6,600, and the cost of 4 Computers and 5 Printers is £6,000. Form two simultaneous equations and solve them to find the costs of a Computer and a Printer.

Let the cost of a computer be x and the cost of a printer be y.

Then, the two simultaneous equations are:5x + 4y = 6600 ---------------------- (1)

4x + 5y = 6000 ---------------------- (2)

Solving equations (1) and (2) simultaneously:x = 600y = 800

Therefore, the cost of a computer is £600 and the cost of a printer is £800..

:Therefore, the cost of one computer is £600 and the cost of one printer is £800.

To know more about Computing equipment visit:

brainly.com/question/33122788

#SPJ11

The Figure A and Figure B show starting steps in the construction of an equilateral triangle.

According to the statement

we have to find the correct figure which show the starting steps in the construction of an equilateral triangle.

So, For this purpose, we know that the

Construction of equilateral triangle inscribed in the circle is :

Place your compass point on the paper and draw a circle. (Keep this compass span!)

2. Place a dot, labeled A, anywhere on the circumference of the circle to act as a starting point.

3. Without changing the span on the compass, place the compass point on A and swing a small arc crossing the circumference of the circle.

4. Without changing the span on the compass, move the compass point to the intersection of the previous arc and the circumference and make another small arc on the circumference of the circle.

5. Keep repeating this process of "stepping" around the circle until you return to point A.

6. Starting at A, connect every other arc on the circle to form the equilateral triangle.

By this way we construct a triangle.

And from the given figures

The figure A and B shows the perfect construction because it follows all the construction steps.

So, The Figure A and Figure B show starting steps in the construction of an equilateral triangle.

Learn more about equilateral triangle here

https://brainly.com/question/1399707

Disclaimer: This question was incomplete. Please find the full content below.

Question:

Select all the correct figures. Which figures show starting steps in the construction of an equilateral triangle

For more understanding please see the image below.

#SPJ4

Answer:

When the actual temperature is -14 degrees Celsius, the wind chill equivalent temperature would be -22.2 degrees Celsius.

When the actual temperature is 3 degrees Celsius, the wind chill equivalent temperature would be 0.6 degrees Celsius.

Step-by-step explanation:

There is a + 1.2 pattern going right.  So each time you increase the actual temperature by 1, you increase the wind chill equivalent temperature by 1.2

Answer:

D. -1

Step-by-step explanation:

\( \frac{1}{3} (6x - 15) = \frac{1}{2} (10x - 4)\)

Begin by distributing the term outside of the parentheses to each term inside.

\(2x - 5 = 5x - 2\)

Now subtract 2x from each side to isolate the variable.

\( - 5 = 3x - 2\)

Add 2 to each side.

\( - 3 = 3x\)

Divide by 3 to solve for x.

\( - 1 = x\)

Answer:

\( - 1\)

-1 is the answer in your questions

Answer:

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

Step-by-step explanation:

\( \frac{ - 2}{3} + 0\)

when adding or subtracting by 0, the value does not change.

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

Answer:

B. a rectangular solid with a base of 6 cm^2 and a height of 12cm

D. An oblique solid with a base of 6cm^2 and a slant height of 12cm

The rectangular solid with a base of 6 cm² and height of 12 cm and oblique prism of base area 6 cm² , height 12 cm has the same volume

The volume of the rectangle is given by the product of the length of the rectangle and the width of the rectangle and the height of the rectangle

Volume of Rectangle = Length x Width x Height

Volume of Rectangle = Area of Rectangle x Height

Given data ,

Let the base and height of the rectangular solid be 6 cm² and 12 cm respectively

So , volume of rectangle = 6 x 12 = 72 cm³

Now , the base and height of the oblique prism be 6 cm² and 12 cm respectively

So , the volume of prism = 6 x 12 = 72 cm³

Hence , the volume of rectangle and prism are same

To learn more about volume of rectangle click :

https://brainly.com/question/25422723

#SPJ7

a) The function f(x, Y) is equal to 2x + 1, and Yo (the initial condition) is equal to 0.

In the given initial value problem (IVP), the differential equation is represented as Y' = f(x, Y), where f(x, Y) = 2x + 1. The initial condition is Y(0) = Yo, where Yo = 0.

b) To compute the first three successive approximations of the solution, we can use the Euler's method or any other numerical method. Let's denote the successive approximations as Y1, Y2, and Y3.

Starting with Y0 = Yo, we can compute Y1 using the Euler's method:

Y1 = Y0 + h * f(0, Y0),

where h is the step size.

Next, we compute Y2:

Y2 = Y1 + h * f(h, Y1).

Finally, we compute Y3:

Y3 = Y2 + h * f(2h, Y2).

Repeat this process to find more successive approximations if needed.

To learn more about differential equation click here

brainly.com/question/32524608

#SPJ11

(-4 , 2 ) so x1 = -4 and y1 = 2. The slope is still 1/2 so m = 1/2. y = 1/2 x +4 final answer

The inequality of the temperatures where yeast will NOT thrive is T < 90°F or T > 95°F

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

Yeast thrives between 90°F to 95°F

For the temperatures where yeast will not thrive, we have the temperatures to be out of the given range

Using the above as a guide, we have the following:

T < 90°F or T > 95°F.

Where

T = Temperature

Hence, the inequality is T < 90°F or T > 95°F.

Read more about inequality at

https://brainly.com/question/32124899

#SPJ1

Answer:

Variable d represents the time per minute Lilianna spends in the park.

Step-by-step explanation:

Answer:

Number of minutes Lilianna walked

Step-by-step explanation:

Hope this helps!

Answer: A.

Step-by-step explanation:

1. The function is even (symmetric about the y-axis)

2. The function F(x) is positive

\(\displaystyle\\Hence,\\F(x)=\frac{1}{x^2}\)

Answer:47

Step-by-step explanation:

On first roll Mike gets 4 and 3

So number he gets after subtraction of square is

\(\Rightarrow 4^2-3^2=7\)

On second roll Mike gets 6 and 2

So number he gets after subtraction of square is

\(\Rightarrow 6^2-2^2=32\)

On Third roll Mike gets 3 and 1

So number he gets after subtraction of square is

\(\Rightarrow 3^2-1^2=8\)

Sum of numbers\(=7+32+8=47\)

John obtains \(47\) as sum

Answer: vertical angles

these angles are also congruent

hope this helps!

Answer:

vertical lines

Step-by-step explanation:

that's answer choice

Answer:

3n - 4

Step-by-step explanation:

Answer:

The equation of the perpendicular line of the given line is

 \(y = \frac{-5}{6} x -\frac{1}{2}\)

Step-by-step explanation:

Step(i):-

Given the equation of the line

         \(y = \frac{6}{5} x + \frac{4}{5}\)

cross-multiplication, we get

       5y = 6x +4

The equation of the straight line is 6x - 5y +4=0

The equation of the perpendicular line to the given line is

                        b x - ay +k=0

The equation of the perpendicular line to the given line is   -5x-6y +k=0

This line passes through the point (-3,2)

    ⇒       - 5(-3) -6(2)+k=0

     ⇒       15 -12 +k=0

     ⇒              3 +k=0

       ⇒              k =-3

Step(ii):-

The equation of the perpendicular line is

                                  -5x-6y-3=0

                                  5x + 6y +3 =0

                                        6y = -5x-3

                                          \(y = \frac{-5}{6} x -\frac{3}{6}\)

Final answer:-

The equation of the perpendicular line of the given line is

 \(y = \frac{-5}{6} x -\frac{1}{2}\)

Janet can customize a car in 630 different ways.

To determine the number of ways Janet can customize a car, we need to multiply the number of options for each customization choice.

Number of car models: 10

Number of exterior colors: 7

Number of interior colors: 9

To calculate the total number of ways, we multiply these numbers together:

Total number of ways = Number of car models × Number of exterior colors × Number of interior colors

= 10 × 7 × 9

= 630

Therefore, the explanation shows that Janet has a total of 630 options or ways to customize her car, considering the available choices for car models, exterior colors, and interior colors.

To learn more about number of ways: https://brainly.com/question/4658834

#SPJ11

Answer:

123

Step-by-step explanation:

hope this helps

Answer:

option.d 123°

DETAILED EXPLANATION:

angle JIK+ angle IJ L= 1 80 ( By CO Interior angle )

57° + angle IJL= 180°

angle IJ L = 1 80°-57°

angle IJL=123°