Item 4 Greg has a piece of rope 18 ft long. He wants to cut it into two pieces so that the longer piece is 2 ft less than 3 times the length of the shorter piece. How long will each piece of rope be

Permutations for each word can be calculated by considering the number of unique letters in it and taking factorial of it.

a) Inverary: There are 8 letters in the name "Inverary" (I, N, V, E, R, A, R, Y), so there are 8! (8 factorial) permutations of all the letters in the name. This equals 40320 permutations.

b) Beamsville: There are 9 letters in the name "Beamsville" (B, E, A, M, S, V, I, L, E), so there are 9! (9 factorial) permutations of all the letters in the name. This equals 362880 permutations.

c) Mattawa: There are 7 letters in the name "Mattawa" (M, A, T, T, A, W, A), so there are 7! (7 factorial) permutations of all the letters in the name. This equals 5040 permutations.

d) Penetanguishene: There are 14 letters in the name "Penetanguishene" (P, E, N, E, T, A, N, G, U, I, S, H, E, N), so there are 14! (14 factorial) permutations of all the letters in the name. This equals 87178291200 permutations.

Learn more about Permutations here:

https://brainly.com/question/1216161

#SPJ4

Answer:

Descending order intercept : y = 5x + 4 , y = 4x + 3 , y = 3x + 2 , y = 2x + 1

Step-by-step explanation:

Linear Equations are in form of 'y = mx + b'.

Here, b is y intercept & it represents autonomous ie constant value of y irrespective of value of x. And, m represents slope ie change in y due to change in x.

Eg : 'y = 2x + 1' has least y intercept ie common autonomous value ie 1.       y = 3x + 2 , y = 4x + 3 , y = 5x + 4 ; these have higher & higher y intercepts respectively.

Arrangement from greatest to highest intercept (descending order of intercept) of above : y = 5x + 4 , y = 4x + 3 , y = 3x + 2 , y = 2x + 1

Answer:

Can you add a picture there is like 10 of these on imagine math

Step-by-step explanation:

Thank you

Answer:

3

Step-by-step explanation:

This is a cube root so think what times what times what is 27?

3 x 3 x 3 = 27 so the answer is 3

Same problem explained

https://www.mathsisfun.com/numbers/cube-root.html  < in detail.

Very helpful website check it out

(It's not a random download link or whatever, look at my profile- i dont do that, its completely safe and legit.)

Answer:

im pretty sure its right

Step-by-step explanation:

Answer: 30.0 feet

Step-by-step explanation:

Answer:

30.0 ft

Step-by-step explanation:

Answer:

18: D

19: D

20: B

Answer: x = 10

Step-by-step explanation:

1. To find x, you need x to be by itself and the only way for it be like that in this situation is by dividing both sides by 7.

2.  7 divided by 7 cancels out and 70 divided by 7 = 10. This means x = 10.

Answer:

10

Step-by-step explanation:

since we have 7x=70

the multiply goes and becomes divide we get 70/7

and by dividing it we get the ans 10

The value of x in the similar polygons is 7.

Two polygons are similar if their corresponding angles are congruent and their corresponding sides are in proportion.

Therefore, the polygons WXY and STU are similar.

Hence, using proportion, let's find the value of x

3 / 9 = 4 / x + 5

cross multiply

3(x + 5) = 9 × 4

3x + 15 = 36

subtract 15 from both sides of the equation

3x + 15 - 15 = 36 - 15

3x = 21

divide both sides by 3

x = 21 / 3

x = 7

Therefore,

x = 7

learn more on polygon here; https://brainly.com/question/29467120

#SPJ1

Here the point 3 can be taken as (3,0) or (0, 3) ; For first, move right 3 units along the x-axis. No vertical component is there , as the y-coordinate is 0 here; For second, move 3 units along the y-axis. Since the x-coordinate is 0, there is no horizontal component.

A point is marked in a coordinate plane using its coordinates when it is plotted in a coordinate system.

The intersection of the x-axis, a horizontal number line, and the y-axis, a vertical number line, creates a 2D coordinate plane.

At the coordinate plane's origin, where the two axes (plural for axis) intersect, four right angles are formed. On a coordinate plane, a grid is frequently drawn to make it simpler to plot points.

In a 2D coordinate plane, a point's location is represented by an ordered pair of numbers (x, y). An ordered pair of numbers is used to represent the location of a point in a 2D coordinate plane (x, y). The first number in the pair represents the point's location along the x-axis, and the second number represents its location vertically (y-axis).

Count x squares from the origin along the x-axis, then count y squares in the direction of the y-axis to plot the point (x, y) in the coordinate plane.

Here the point 3 can be taken as (3,0) or (0, 3) ; For first, move right 3 units along the x-axis. No vertical component is there , as the y-coordinate is 0 here; For second, move 3 units along the y-axis. Since the x-coordinate is 0, there is no horizontal component.

To know more about Graph plotting here:

https://brainly.com/question/11616742#

#SPJ4

The pairs of operations that have inverse relationships are subtraction and addition and multiplication and division. The correct options are A and D.

Any of the common arithmetic operations, such as addition, subtraction, multiplication, division, raising to a whole number power, and taking roots, are considered basic algebraic operations in mathematics (fractional power).

The mathematical expression combines numerical variables and operations denoted by addition, subtraction, multiplication, and division signs.

Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also denote the logical syntax's operation order and other properties.

The inverse operations can be subtraction and addition and multiplication and division.

To know more about algebraic operations follow

https://brainly.com/question/4344214

#SPJ1

The information in a table shows that f(x) = 3(2)x  exponential function. An exponential function has the formula y = abx, wherein y and x are variables.

An exponential function is a mathematical function with the following formula: f (x) = 1 x. where an is a fixed sum that serves as the function's basis and x is a variable. The most frequent exponential-function base is the transcendent number e, or around 2.71828. Your function must be exponential if it has the equation y = a b x, or where are constant, a Zero and b > 0 and b 1. You always used functions to the power of 2 while solving quadratic equations. An exponential function's exponent is a variable.

Here,

given:

Using the table's (0, 3):

3 = ab° , a = 3

(2) and (12):

=>12 = ab²

=>12 = 3b²

=>b² = 4

=>b = 2

=>f(x) = 3(2)ˣ

The information in a table shows that the exponential function, f(x), equals 3(2)x.

To know more about exponential function visit :-

brainly.com/question/11487261

#SPJ1

The factoring of the equation is 6x(x + 8). The process of factoring involves determining what to multiply to produce an expression.

The process of factoring involves determining what to multiply to produce an expression.

It resembles "dividing" an expression into several smaller expressions.

There are three steps involved in factoring completely:

A GCF should ideally be factored out of the expression.

As much as you can, factor a trinomial.

Put as many factors as you can into a Difference Between Two Squares.

The Grouping method, the difference in two squares, and the sum or difference in cubes are the four primary methods of factoring. The Greatest Common Factor (GCF) is another.

It should be noted that the given expression must be factored based on the provided information.

The expression given is:

6x² + 48x

The common factor is 6x

6x(x + 8)

Therefore, the factoring of the equation is 6x(x + 8).

To learn more about factoring refer

https://brainly.com/question/28322819

#SPJ1

Answer:

SSS

Step:

I think it might be this not very sure

Answer:

ASA

Step-by-step explanation:

A and C are congruent (angle) and then ad and dc are also (side) and they both have a right angle 90 (angle)

Answer:

c

Step-by-step explanation:

The change in elevation would be -225/4 feet

A fraction represented with its quotient and remainder is a mixed fraction. For example, 2 1/3 is a mixed fraction, where 2 is the quotient, and 1 is the remainder. So, a mixed fraction is a combination of a whole number and a proper fraction.

Given here, Speed of scuba diver as -12¹/₂=-25/2 and time in minutes 4¹/2=9/2

Thus distance traversed -25/2 × 9/2 = -225/4

Hence, the change in elevation is -225/4 feet

Learn more about mixed fractions here:

https://brainly.com/question/29264210

#SPJ1

Answer:

502.4

Step-by-step explanation:

Cylinder Volume Formlua = (Pi)*(R^2)(height) = (3.14)(16)(10) = 502.4

Answer:

HERE YOU GO BRO :

Step-by-step explanation:

                                VOLUME OF CYLINDER,  

                                             V=πr2h

                                 PUT THE GIVEN VALUES,

                                          V= 3.14 × 4 × 2(10)

                                             =  12.56 × 20

                                           V = 251.2cm³ ans

The domain of a composite function is the set of all possible inputs for both functions, and the range is the set of all possible outputs.

A composite function is the combination of two or more functions. The domain of a composite function is the set of all possible inputs for both functions. This means that the domain is the set of all the possible inputs that can be used in either of the functions that make up the composite function. The range of a composite function is the set of all possible outputs. This means that the range is the set of all the possible outputs that can be obtained by the combination of the two or more functions. When graphing a composite function, it is important to remember that the domain and range of the composite function are the union of the domain and range of the individual functions in the composite function. The domain and range of a composite function can be determined by first determining the domains and ranges of the individual functions and then combining them.

Learn more about domain here

https://brainly.com/question/13113489

#SPJ4

The 4 steps methods of problem solving is an approach that is agreed upon by many experts in different fields and developed over time, The answer is it is not attributed to any individual creator.

Mathematical exercises with the potential to present intellectual challenges for advancing pupils' mathematical learning and growth are referred to as "problem solving." The three primary components of problem-solving are recognizing the issue, considering potential solutions, and selecting the best course of action.

The 4 steps in problem solving, also known as the "scientific method" or the "4-step problem solving model" is a widely recognized method for solving problems that is used in many fields including science, engineering, and business. The four steps are: (1) Identifying the problem, (2) Gathering information, (3) Developing solutions, and (4) Implementing the solution.

It is not attributed to any individual creator, but an approach that is agreed upon by many experts in different fields and developed over time.

To learn more about problem solving visit:

https://brainly.com/question/29438624

#SPJ1

Answer:

200ft

Step-by-step explanation:

5ft×4ft= 20ft. 20ft×10ft =200ft

Answer:

CA=20  CD=20

AB=23  DE=23

BC=29  EC=29

Step-by-step explanation:

Answer:the image is not noticeable

Step-by-step explanation:

Answer: y = -5x - 5

Hopefully that helps.

Step-by-step explanation:

The question is incomplete. The complete question is :

Carl and Sure are planning to buy a new home. They will both retire in 16 years and do not want to have a house payment at that time. Which offer should they choose?

Offer 1                                           Offer 2                                      

Rate: 7%                                         Rate: 6%                                                      

Time(years): 30                            Time (years): 25

Loan Amount: $200,000             Loan Amount: $200,000  

Monthly Payment: $1,330.60       Monthly Payment: $1,288.60

Total Financed:$479,017.80         Total Financed: $386,580.84

Offer 3

Rate: 5%

Time (years): 15

Loan Amount: $200,000

Monthly Payment: $1581.59

Total Financed: $284,685.71

Solution :

It is given in the question that Carl and Sue are planning to purchase a new house for them. Both of them are going to retire after 16 years from now and they do not want to have any house loan to pay at their retirement time.

So from the offers, Carl and Sue should take the Offer 3 to buy a home for them. This is because rate of interest for the loan amount is less as compared to the other two offers and also loan will be completed within 15 years from now. So they will not have any loan payment at their retirement period.

Therefore, they should choose Offer 3.

Answer:

4 so you dont have the read that stuff

Step-by-step explanation:

Answer:

6

Step-by-step explanation:

Divide 3 on both sides

3x/3 > 18/3

x > 6

Answer:

Ok his his his his his his his his his his his his his his his his

The degree of a constant polynomial (such as 7) is zero.

The variable's highest power in a polynomial expression is the polynomial's degree.

A polynomial is a mathematical expression made up of more than two algebraic terms, particularly the sum (or difference) of several terms that each contain a different power of a single or several variables (s).

It is a monomial combination that is linear. Since the polynomial can be conceived of as 7x0, the degree of a constant polynomial (such as 7) is zero.

Normally, the degree of the zero polynomial (zero) is regarded as being undefinable.

A polynomial function with a degree of 7 is known as a septic function (also known as a 7th degree polynomial). 

To more about Polynomials here:

https://brainly.com/question/20121808#

#SPJ4