multiply
( x-y ) and ( 3x+5y )

Answer:

D

Step-by-step explanation:

have a good day God bless :)

The graph correctly shows the solution to the problem 4x + 3y ≤ 50 is D. X, Y graph. X range is -30 to 30, and y range is -30 to 30. Solid line on the graph has a negative slope and runs through (-10, 30), (5, 10), and (20, -10). Below the line is shaded.

To examine the points on the graph:

Point (-10, 30): Substituting x = -10 and y = 30 into the inequality: 4(-10) + 3(30) = -40 + 90 = 50 ≤ 50. So, the point satisfies the inequality.

Point (5, 10): Substituting x = 5 and y = 10 into the inequality: 4(5) + 3(10) = 20 + 30 = 50 ≤ 50. The point satisfies the inequality.

Lastly, Point (20, -10): Substituting x = 20 and y = -10 into the inequality: 4(20) + 3(-10) = 80 - 30 = 50 ≤ 50. The point satisfies the inequality.

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The distance between two points on a plane is calculated by finding the length of the straight line between them. The formula used to find the distance between two points (a,b) and (c,d) is given below:Distance = √((c - a)^2 + (d - b)^2)Hence,

the distance between the points (4, 3) and (8, 6) is calculated below:Distance = √((8 - 4)^2 + (6 - 3)^2) = √(4^2 + 3^2) = √(16 + 9) = √25 = 5Therefore, the correct answer is option A, i.e. √((c - a)^2 + (d - b)^2); 5.

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Market Size: Qualitative data, Nominal scale. Promotion: Qualitative data, Nominal scale. Week: Qualitative data, Ordinal scale.

a) The categorical qualitative variables from the ones listed above are as follows  :Market Size.

This variable represents the size of the customer base (small, medium, or large market).Promotion: Type represents which promotion the store ran (Promotion 1, 2, or 3. They ran three different promotions for a new product to see which one is more effective.).

b) The numerical (quantitative) variables from the ones listed above are as follows: Sales: (In Thousands) represents the number sales (in $1000) made in the specified week of December (Week).Age: Store represents the age of the store in years. Week: Number represents the week in which the promotion ran (Week 1, 2, 3, 4 - captured sales of new product over four weeks) c) Level of measurement for each variable is given as follows :Sales: Quantitative data, Ratio scale.Age: Quantitative data, Ratio scale.

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The required percent of the people surveyed were satisfied with the car is 65%.

Percentage can be determined by partitioning the worth by the all out worth, and afterward increasing the outcome by 100. The recipe used to compute rate is: (esteem/complete value)×100%.

There are 1600 people in the survey,And 1,040 said they would buy that type of car again.

To find; percent of the people surveyed were satisfied with the car.

Percentage of people = (1040/1600)×100

Percentage of people = (0.65)100

Percentage of people = 65%

Thus, 65% percent of the people surveyed were satisfied with the car.

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Answer:

answer is zero.............

Answer:

68

Step-by-step explanation:

PEMDAS stands for, "Parenthesis, Exponents, Multiplication, Division, Addition, Subtraction."

PEMDAS is the order of operations so we multiply/divide before we add/subtract.

8 x 4 = 32

12 + 24 = 36

36 + 32 = 68

Answer:

142×11=1152

Step-by-step explanation:

hope it helps you:)

Answer:

A. 60

hope this helps

have a good day :)

Step-by-step explanation:

Answer: The answer is 60

Step-by-step explanation:

32 + 41 + 43 + 50 + 70 + 73 + 80 + 88 = 477

then divide 477 by the amount of numbers there which is 8

477 divided by 8 = 59.625

59.6 to the highest tens is 60

because 6 is highter then 5    

The solution of the system of equations is (x, y) = (1/3, 1/3).

To solve the given system of equations, we can use any of the following three methods; the substitution method, the elimination method (also known as the addition/subtraction method), and the graphical method. Below, we will solve it using each of these methods.

1. Substitution method:

We will use the substitution method to solve the system of equations. Step-by-step solution is shown below; Given equations are

Y = 3y - 2x ...(1)2y = 3x - 2 ...(2) From equation (1), we have

Y + 2x = 3y ...(3)Now substitute equation (3) into equation

(2)2y = 3x - 2 ...(2)Y + 2x = 3y ...(3)2(3y - 2x) = 3x - 2

Multiplying both sides by 2:

6y - 4x = 3x - 2 Grouping like terms:

6y - 3x = 2 Adding 3x to both sides:

6y = 3x + 2Dividing both sides by 6:

y = (3/6)x + 2/6y = (1/2)x + 1/3

Therefore, the solution of the system of equations is (x, y) = (1/3, 1/3).

2. Elimination method:

We will use the elimination method to solve the system of equations. Step-by-step solution is shown below; Given equations are

Y = 3y - 2x ...(1)2y = 3x - 2 ...(2)Multiplying equation (1) by 2,

we get;2Y = 6y - 4x ...(3)Multiplying equation (2)

by -3, we get;-6y = -9x + 6 ...(4) Adding equations (3) and (4),

we get;-4x = -9x + 8

Simplifying;-4x + 9x = 8x = -8x = -2

Therefore, we found the value of x, which is -2.

Substitute the value of x in either equation (1) or (2);

If we substitute x = -2 in equation (1), we get;

Y = 3y - 2(-2)Y = 3y + 4Y - 3y = 4Y = 4/2Y = 2Substitute the value of y in equation (1)

;Y = 3y - 2xY = 3(2) - 2(-2)Y = 6 + 4Y = 10

Therefore, the solution of the system of equations is (x, y) = (-2, 10/2).3.

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Answer:

Step-by-step explanation:

let tan 2x=y

y³-3y+2=0

y³-y-2y+2=0

y(y²-1)-2(y-1)=0

y(y+1)(y-1)-2(y-1)=0

(y-1)[y(y+1)-2]=0

(y-1)(y²+y-2)=0

(y-1)(y²+2y-y-2)=0

(y-1)[y(y+2)-1(y+2)]=0

(y-1)(y+2)(y-1)=0

y=1,1,-2

tan 2x=1=tanπ/4=tan (nπ+π/4)=tan π/4(n+1)

2x=π/4(n+1)

x=π/8(n+1)

where n is an integer.

tan 2x=-2

\(2x=tan^{-1}(-2)\\x=\frac{1}{2} tan^{-1}(-2)\)

a) The probability that the length of a randomly selected axle is less than 595 mm is approximately 0.3528.

b) The probability that the mean length of 20 axles is less than 595 mm is extremely low.

An example of a continuous probability distribution is the normal distribution, in which the majority of data points cluster in the middle of the range, while the remaining ones taper off symmetrically toward either extreme. The distribution's mean is another name for the center.

(a) Using the normal distribution with mean μ = 597 mm and standard deviation σ = 5.3 mm, we can calculate the z-score for a length of 595 mm:

z = (x - μ) / σ

= (595 - 597) / 5.3

= -0.3774

Using a standard normal distribution table or calculator, we can find the probability that a z-score is less than -0.3774 is 0.3528.

Therefore, the probability that the length of a randomly selected axle is less than 595 mm is approximately 0.3528.

(b) The mean of a sample of 20 axles will also follow a normal distribution, with mean μ = 597 mm and standard deviation σ = 5.3 / sqrt(20) = 1.1847 mm (using the formula for the standard deviation of the sample mean).

To find the probability that the mean length of 20 axles is less than 595 mm, we can calculate the z-score for this value:

z = (x - μ) / (σ / √(n))

= (595 - 597) / (5.3 / √(20))

= -4.1054

Using a standard normal distribution table or calculator, we can find that the probability that a z-score is less than -4.1054 is essentially 0.

Therefore, the probability that the mean length of 20 axles is less than 595 mm is extremely low.

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Answer:

2g - 5

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Algebra I

Step-by-step explanation:

Step 1: Define

(-3g) + (5g - 5)

Step 2: Simplify

Answer: 64.80% not 100% positive if i did that math right but thats what i got

Step-by-step explanation:

38.8679

Step-by-step explanation:

The constructors that have an empty parameter are known as non-parameterized constructors.

What is non-parameterized constructors?

Non-parameterized constructors are those that only have one parameter, which is empty. Depending on the user, they are used to set the object's initial values to either specific constants or default values.

What is a parameterized constructor?

When a constructor takes a certain quantity of parameters, it is referred to as a parameterized constructor. to initialize class data members with unique values.

What does it mean to be parameterized and not?

These methods have a list of parameters or arguments that are passed a value by the caller method.

                                  Methods that are not parameterized: These methods have no parameter list. Without passing any values to the function, the programmer can just call it.

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The mean number of students in the class is 2.4 siblings.

Mean is the average of a set of numbers. It is determined by adding the numbers together and dividing it by the total number

Mean = total sum of siblings / number of students

[(0 x 4) + ( 1 x 4) + ( 2 x 2) + ( 3 x 8) + ( 4 x 4) ] / ( 2 + 4 + 2 + 8 + 4)

= 48 / 20 = 2.4 siblings

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Answer:

20%

Step-by-step explanation: The percent of error formula is |(theoretical value-actual value)/actual value|=percent of error. Substitute the values in. |(2.8-3.5)/3.5|=|(-0.7)/3.5|=0.2. The percent equal to 0.2 is 20%.

The probability that a student who had a dog also had a cat would be = 7/25.

To calculate the possible outcome of the given event, the formula for probability should be used and it's given below as follows. That is;

Probability = possible outcome/sample space

possible outcome = 7

sample space = 7+2+3+13 = 25

Probability = 7/25

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Statements are False: 1. interchanging rows changes determinant. 2. determinant zero not implies specific rows. 3. determinant not product of diagonal entries. 4. determinant is scalar not matrix.

What is matrix ?

A matrix is a rectangular array of numbers or other mathematical objects, typically arranged in rows and columns. Matrices are often denoted using capital letters, such as A, B, and C. Each element of a matrix is identified by its row and column indices,

1) False, If two row interchanges are made in succession, the determinant of the new matrix is the negative of the determinant of the original matrix.

2) False, If the determinant of a matrix is zero, it does not necessarily mean that two rows or two columns are the same or a row or column is zero, it only means that the matrix is singular, i.e. non-invertible and it also can mean that the matrix is linearly dependent.

3) False, The determinant of a matrix is not always equal to the product of the diagonal entries, it is a scalar value calculated through a specific method called matrix expansion which is based on the entries of the matrix and it depends on the size of the matrix.

4) False, The determinant of a matrix is a scalar value, it cannot be equal to another matrix.

Statements are False: 1. interchanging rows changes determinant. 2. determinant zero not implies specific rows. 3. determinant not product of diagonal entries. 4. determinant is scalar not matrix.

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Answer:

Step-by-step explanation:

Answer:

5%

Step-by-step explanation:

he earned 50 so his investment grew from 1000 to 1050

now simply calculate the percentage change

(1050-1000)/1000 *100

=5%

The property demonstrated by:

a(b+c)=(a.b)+(a.c)

Is the Distributive property

Here we have the next expression:

a*(b + c) = (a*b) + (a*c)

So we have the product between a and the sum of b and c, is equal to the sum between the products of a and b, and a and c, so we "distributed" the product.

This property is called the "Distributive property".

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The expressions for the lengths of the segments obtained using vectors notation are;

a. i. \(\overrightarrow{LA}\) = q - (1/2)·p  ii. \(\overrightarrow{AN}\) = (2/7)·(p - q)

b. The expressions for \(\overrightarrow{MN}\), \(\overrightarrow{LA}\), and \(\overrightarrow{AN}\) indicates;

\(\overrightarrow{MN}\) = (1/84)·(46·q - 11·p)

A vector is a quantity that has magnitude and direction and are expressed using a letter aving an arrow in the form, \(\vec{v}\)

a. i. \(\overrightarrow{LA}\) = \(\overrightarrow{BA}\) - \(\overrightarrow{LB}\) =  \(\overrightarrow{BA}\) - (1/2) × \(\overrightarrow{CB}\)

\(\overrightarrow{BA}\) - (1/2) × \(\overrightarrow{CB}\) = q - (1/2)·p

\(\overrightarrow{LA}\) = q - (1/2)·p

ii. \(\overrightarrow{AC}\) = \(\overrightarrow{BC}\) - \(\overrightarrow{BA}\)

\(\overrightarrow{AN}\) = (2/7) × \(\overrightarrow{AC}\)

\(\overrightarrow{AN}\) = (2/7) × \(\overrightarrow{BC}\) - \(\overrightarrow{BA}\)

\(\overrightarrow{AN}\) = (2/7) × (p - q)

b. \(\overrightarrow{MN}\) = \(\overrightarrow{MA}\) + \(\overrightarrow{AN}\)

\(\overrightarrow{MA}\) = (5/6) × \(\overrightarrow{LA}\)

\(\overrightarrow{LA}\) = q - (1/2)·p

\(\overrightarrow{AN}\) = (2/7) × (p - q)

Therefore;

\(\overrightarrow{MN}\) = (5/6) × ( q - (1/2)·p) + (2/7) × (p - q)

\(\overrightarrow{MN}\) = (1/84) × ( 70·q - 35·p + 24·p - 24·q) = (1/84)(46·q - 11·p)

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Refer to the attachment! v

Answer:

3

Step-by-step explanation:

Given the question :

The value of n is a distance of 3 units from 1 an 1/2 on a number line click on the number line to the possible values of n

From the context of the expression:

n is the distance which exists between 1 1/2 and 3 units from it;

Which may be ;

1 1/2 - - - - (1 1/2 + 3) = 4 1/2

1 1/2 - - - - - (3 - 1 1/2)

Either way, there exists a distance of 3 units between 1 1/2 and 3 units from it.

Hence, n = 3

Answer:

18%

Step-by-step explanation:

15.00 divided by 100 = .15

.15 x 1.20 for the tax = .18

therefore 18%

Answer:

The tax increase is 8%

Step-by-step explanation:

16.20 - 15.00 = 1.2

1.2 / 15.00 = 0.08

0.08 x 100 = 8%

Have a wonderful day!

(Sorry if its incorrect.)

To solve the trigonometric equation 2cos2x=cosx on the interval 0 to 2π, we can use some basic trigonometric identities and algebraic manipulations. The solutions to the trigonometric equation 2cos^2(x) = cos(x) on the interval 0 to 2π are x = π/2, 3π/2, π/3, and 5π/3

First, we can simplify the equation by moving all the terms to one side:
2cos2x - cosx = 0
Next, we can use the double angle formula for cosine to express cos2x in terms of cosx:
2cos^2x - cosx = 0
Then, we can factor out the common factor of cosx:
cosx(2cosx - 1) = 0
This equation is satisfied when either cosx = 0 or 2cosx - 1 = 0. Solving for cosx in the second equation, we get:
2cosx - 1 = 0
2cosx = 1
cosx = 1/2

Therefore, the solutions to the original equation 2cos2x = cosx on the interval 0 to 2π are the values of x for which either cosx = 0 or cosx = 1/2. Using the unit circle or a calculator, we can find the values of x that satisfy these conditions:
cosx = 0 when x = π/2 and x = 3π/2
cosx = 1/2 when x = π/3 and x = 5π/3
Thus, the solutions to the equation 2cos2x = cosx on the interval 0 to 2π are x = π/2, π/3, 3π/2, and 5π/3.
Hi! I'd be happy to help you find the solutions to the trigonometric equation 2cos^2(x) = cos(x) on the interval 0 to 2π.
Step 1: Rearrange the equation to create a quadratic equation.
Subtract cos(x) from both sides:
2cos^2(x) - cos(x) = 0
Step 2: Factor out cos(x).
cos(x)(2cos(x) - 1) = 0
Step 3: Solve for x.

Set each factor equal to zero:
a) cos(x) = 0
b) 2cos(x) - 1 = 0
Step 4: Find the solutions for each equation within the interval 0 to 2π.
a) cos(x) = 0
x = π/2, 3π/2
b) 2cos(x) - 1 = 0
cos(x) = 1/2
x = π/3, 5π/3
Step 5: Combine the solutions.
The solutions to the trigonometric equation 2cos^2(x) = cos(x) on the interval 0 to 2π are x = π/2, 3π/2, π/3, and 5π/3.

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A number that completes the system of linear inequalities represented by the graph is -12.

In Mathematics and Geometry, the slope-intercept form of the equation of a straight line is given by this mathematical equation;

y = mx + b

Where:

Let the unknown number be n.

Based on the information provided above, we have the following system of linear inequalities:

y > 2x – 2

x + 4y > n

Since the point (0, -3) lie on the inequality x + 4y > n, we have:

x + 4y > n

0 + 4(-3) > n

-12 > n

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Missing information:

The question is incomplete and the complete question is shown in the attached picture.

Answer:

A. -12

Step-by-step explanation: