The points ( – 10,1) and (k,6) fall on a line with a slope of 5. What is the value of k?

The GCF of 10c and 12d using the distributive property is 2.

The largest of all the common factors between any two or more numbers is known as the GCF (Greatest Common Factor).

A single term can be multiplied by the sum or difference of two or more other words according to the distributive property.  

According to Distributive property,

=> ab + ac = a(b + c)  

Where 'a' will be the GCF of ab and ac.

Here we have

10c and 12d    

By using the Distributive property,

=> 10c + 12d = 2 (5c + 6d)

Therefore,

The GCF of 10c and 12d using the distributive property is 2.

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Answer: The correct classification of 2x4 - 8x5 - 2x2 + 5 is 5th-degree polynomial.

We know that the highest exponent of a polynomial is called the degree of the polynomial.

The highest degree of the given polynomial is 5. Hence, from the above-written concepts, we can say that the degree of the polynomial is 5.

Thus, the polynomial is a 5th-degree polynomial.

Step-by-step explanation:

Answer:relative frequency table

Step-by-step explanation:

The final value of the given expressions are:

1) 12√(33)c

2) 8√5 (3√2 + 8√3)

3) 3

4) -12√6

An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.

Example: 2 + 3x + 4y = 7 is an expression.

We have,

1)

√99c . √48c

√(9 x 11)x . √(16 x 3)c

3√11c . 4√3c

12√(11 x 3)c²

12√(33)c

2)

2√(80) ( √18 + 4√12 )

2 √(16 x 5) ( √(9 x 2) + 4√(4 x 3) )

2 x 4√5 ( 3√2 + 8√3 )

8√5 (3√2 + 8√3)

3)

(√2 - √5) . (-√2 - √5)

= -2 - √10 + √10 + 5

= 3

4)

√(48) x -√18

= √(16 x 3) x -√(2 x 9)

= 4√3 x -3√2

= -12√6

Thus,

The value of each of the expresssion is given above.

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A tangent is a line that touches a curve at a single point, but does not intersect the curve at that point.

The slope of a tangent line at a point on a curve is equal to the derivative of the curve at that point. Therefore, finding the tangent line to a curve at a particular point is equivalent to finding the derivative of the curve at that point.

For example, consider the curve y = x^2. If we want to find the tangent line to this curve at the point (2,4), we can take the derivative of y = x^2, which is y' = 2x. Setting x equal to 2, we find that the slope of the tangent line at (2,4) is 4. We can then use this slope to find the equation of the tangent line: y - 4 = 4(x - 2), which simplifies to y = 4x - 4.

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Measure of arc AC equals measure of arc CR = 130° when m arc CR = 130°. CAR = 1/2 CER = 1/2 *120° = 60°, ACR = 1/3 * 180° = 60°, ARC = 1/3* 180° = 60°.

Two straight lines or rays intersect at a same terminus to make an angle.  The latter is known as the vertex of the angle, while the rays are known as its sides, occasionally as its legs, and occasionally as its arms. Two lines converge at a common point to form an angle. They are expressed by the sign ° and are measured in degrees. Acute, right, obtuse, and reflex angles are four crucial types.

given

CAR is isosceles . so the angle of CER is 120° . ∠ACR = 60° and the inscribed angle of an arc is equal to half of the central angle of the arc ( the circumference angle theorem )

a) ∠ CAR = 1/2 ∠CER = 1/2 *120° = 60°

B) ∠ACR = 1/3 * 180° = 60°

C) ∠ARC = 1/3* 180° = 60°

D) measure of arc AC = measure of arc CR = 130°

E) measure of arc AR = measure of arc CR = 130 °

Measure of arc AC equals measure of arc CR = 130° when m arc CR = 130°. CAR = 1/2 CER = 1/2 *120° = 60°, ACR = 1/3 * 180° = 60°, ARC = 1/3* 180° = 60°.

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3y + 2x = 44 is the equation of the line through (10, 8) and (4, 12).

A linear equation has the slope-intercept form y = mx + b. Variables in the equation are x and y. When x is 0, the integers m and b provide the line's slope (m) and the value of y. Because (0,y) is the location where the line crosses the y-axis, the value of y when x is 0 is referred to as the y-intercept.

Given, two coordinates of a line [tex]\left(10,8\right) and \left(4,12\right)[/tex]

The slope of the line formula is:

[tex]m = \frac{y₂ - y₁}{ x₂ - x₁}[/tex]

Let's substitute our numbers.

[tex]m = -\frac{8 -12}{4-10}[/tex]  =  -4/6

The GCF of these two numbers is 2

So, our slope  =  -2/3

The general equation of a line is y = mx +c

Therefore the equation of the line is y = -2/3x + c

Since, this line passes through ( 10, 8 )

Hence, it must satisfy these coordinates

8 = -2/3 * 10 + c

44/3 = c

Thus the equation of the line is y = -2/3x +44/3

the equation of the line is 3y + 2x = 44.

Therefore, The equation of the line that passes through (10, 8) and (4, 12) is 3y + 2x = 44.

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Answer:

x > or equal to $440

Step-by-step explanation:

66,000/150=440

The extreme value of this equation has a minimum at the point (2,5).

Quadratic equations are the polynomial equations of degree 2 in one variable of type f(x) = ax^2 + bx + c = 0 where a, b, c, ∈ R and a ≠ 0. It is the general form of a quadratic equation where 'a' is called the leading coefficient and 'c' is called the absolute term of f (x).

All of given options contain quadratic functions. One way to determine the extreme value is squaring the expression with variable x.

Option B contain the expression where you can see perfect square. Thus, equation  y =-3(x-2)^2+5  (choice B) reveals its extreme value without needing to be altered.

To determine the extreme value of this equation, you should substitute x=2 (then x value that makes expression in brackets becomes equal to zero) into the function notation:

y =-3(x-2)^2+5

substitute x = 2,

y =-3(2-2)^2+5

y =0+5

y =5

Therefore, The extreme value of this equation has a minimum at the point (2,5).

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The extreme value of this equation has a minimum at the point (2,5).

Now, According to the question:

All of given options contain quadratic functions. One way to determine the extreme value is squaring the expression with variable x.

Option B contain the expression where you can see perfect square. Thus, equation :

y = [tex]-(x - 2)^2 + 5[/tex]

(choice B) reveals its extreme value without needing to be altered.

To determine the extreme value of this equation, you should substitute x=2 (x-value that makes expression in brackets equal to zero) into the function notation:

y = [tex]-(2 - 2)^2 + 5[/tex]

Hence, The extreme value of this equation has a minimum at the point (2,5).

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The complete question is this:

Select the correct answer from each drop-down menu.

Consider the equations below.

Use the equations to complete the following statements.

Equation __ reveals its extreme value without needing to be altered. The extreme value of this equation has a ____ at the point (__,__ ).

The graph would be a straight line with a slope of 4, passing through the origin.

The equation f(x) = 4x can be expressed in slope-intercept form as y = 4x + 0, where the slope is 4 and the y-intercept is 0. This means that the graph of f(x) = 4x is a straight line with a slope of 4 that passes through the origin (0, 0).

The graph of f(x) = 4x is a line with a positive slope that passes through the origin and extends infinitely in both the positive and negative directions. The y-intercept is 0 and the x-intercept can be found by setting y = 0 and solving for x, which gives x = 0. For any given x-value, the corresponding y-value can be found by substituting the x-value into the equation f(x) = 4x and solving for y. As x increases, y increases proportionally, so the graph represents a linear, increasing relationship.

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Answer:

The number of apples

Step-by-step explanation:

It would need apples to multiply into 4 so i believe thats the right answer

The difference in length between Mahi-Mahi and White Shark will be 14 feet 4 inches.

The expression has to do with the relationship between the variables that are provided or the data given regarding an information.

Since the length of Mahi-Mahi: 3 ft 8 in and the length Great White Shark: 18 ft. The difference in length will be:

= 18 - 3 feet 8 inches

= 14 feet 4 inches.

The difference in length is 14 feet 4 inches.

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Complete question

length of Mahi-Mahi: 3 ft 8 in.

length Great White Shark: 18 ft

What is the difference in length

The linear function that models the cost of Dario's text message bill is given as follows:

C(x) = 5 + 0.15(x - 250), x ≥ 250.

The slope-intercept definition of a linear function is presented as follows:

y = mx + b.

In which the parameters are given as follows:

The table starts at 250, with a cost of $5, hence the intercept is given as follows:

b = 5.

For each two messages sent, the cost increases by $0.30, hence the slope is obtained as follows:

0.3/2 = $0.15.

Meaning that the function is defined as follows:

C(x) = 5 + 0.15(x - 250), x ≥ 250.

The context is given by the image presented at the end of the answer.

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We can rewrite m^91 + 2m^90 as (m+2m^90)^2 - m^90.

We are looking for values of m such that m+2m^90 is an integer.

For m = 30, m+2m^90 = 30 + 230^90 = 30 + 2(30^90) = 60, which is an integer.

For m = 24, m+2m^90 = 24 + 224^90 = 24 + 2(24^90) = 48, which is also an integer.

For the other values of m, m+2m^90 is not an integer. Therefore, the only values of m for which m^91 + 2m^90 is the square of an integer are m = 24 and m = 30.

Answer:

not sure

Step-by-step explanation:

not sure sqauredxfree bagdes

=answer

Answer:

5 Dance lessons

Step-by-step explanation:

The cost of taking x dance lessons is 50 + 20x dollars. This should be less than or equal to the amount of money Alexis has, which is 150 dollars. We can represent this relationship with the following inequality:

50 + 20x ≤ 150

This inequality can be simplified to the following:

20x ≤ 100

Dividing both sides of the inequality by 20 gives us the following:

x ≤ 5

Therefore, Alexis can take up to 5 dance lessons within her budget.

Answer:

Step-by-step explanation:

Since there are 6 faces in a cube and each face is 7x7=49 sq units, the surface area is 49x6=294 sq units

Therefore , the solution of the given problem of algebra comes out to be the value of expression is 17.

Algebra is one of the numerous variables of mathematics. Algebra is, broadly defined, the study of numeric and the rules for employing them in formulae. It is a common theme that goes through practically all of mathematics. Algebra is the branch of mathematics that provides the most assistance in describing circumstances or issues through the use of formulas. In algebra, we use integers, such like 2, 7, 0.068, etc., which have a defined or definite value. Algebra slight changes like x, y, & z in addition to utilizing integers.

Here,

Given :

a= -2

b= 3

c = -3

so,

=> -a- 2bc - |c|

=> 2 -2*3*-3 - |-3|

=> 2 + 18 -3

=> 17

Therefore , the solution of the given problem of algebra comes out to be

the value of expression is 17.

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The most popular choice will likely be either Checking out books or Studying.

Based on the sample, about 90 will vote for doing research.

Based on the sample, about 35 % of students will vote for checking out books.

The most popular choice for what students do in the library according to Ramiro's research is Checking out books. The second most popular choice is Studying at 18 people.

The number of who will vote for doing research on a school - wide basis is :

= Number of people who voted research / Number sampled x Number of students in school

= 10 / 60 x 540

= 90 students

The percentage who would vote for checking out books :

= Number of people who voted checking out books/ Number sampled

= 21 / 60

= 35 %

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A drop of water is denser than a ping-pong ball.

Usually, water is made of particles that are firmly pressed together. In differentiation, plastic (the material ping pong balls are made of) may be a lightweight fabric and the particles are not as firmly stuffed together.

The thickness of a ping pong ball is 0.0840 g/cm³, though water’s thickness is 997 kg/m³. Subsequently, ping pong balls aren’t about as thick as water and will continuously coast and surface greatly quickly.

The ping pong ball appears to oppose gravity and coast within the air.

Ping-pong balls drift within the water since they are amazingly lightweight, empty, and filled with air. Too, the water’s surface pressure makes it simple for the ping pong ball to drift.

In expansion, water is denser than ping pong balls, making them look for the most noteworthy point of water.

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The sound which we hear when the pig pong ball is bounced on the floor

is 19.48 DB

The repeating of sounds, especially in rhyme, is the form of repetition that most people connect with poetry. Alliteration, assonance, and onomatopoeia are other sound patterns in poetry that give additional meaning in addition to rhyme. Every one of these audio elements has a certain purpose in a poem.

a) [tex]\sum \ log(n)[/tex]

by expanding the series for each value of n is

log (1) + log (2) + log(3) + log (4) + ......... + log ( 96)

simplify the expanded form we get

0 + 0.3010 + 0.4771+0.6020 ......................... + 1.982

=> 149.9963

b) [tex]\sum_{n=0}[/tex] to infinity [tex]\sqrt{0.9^n}[/tex]

formula for the sum of number in geometric progression

is  a/1-r

to find the ratio of the successive terms

plugging into the formula

r = [tex]\frac{a_{n+1}}{a_n}[/tex]

r = [tex]\frac{\sqrt{0.9^{n+1}} }{\sqrt{0.9^n} }[/tex]

=> r = [tex]\frac{\sqrt{0.9^n \times 0.9} }{\sqrt{0.9^n} .1}[/tex]

=> r = [tex]\frac{\sqrt{0.9} }{1}[/tex]

=> r = [tex]\sqrt{0.9}[/tex]

=> a = [tex]\sqrt{0.9^0}[/tex]

=> a = [tex]\sqrt{1}[/tex]

=>  a= 1

by applying the formula having the value a =1 is

[tex]\frac{1}{1-\sqrt{0.9} }[/tex]

rationalize the denominator by multiplying with [tex]1+\sqrt{0.9}[/tex]

=> [tex]\frac{1+\sqrt{0.9} }{(1-\sqrt{0.9} ) (1+\sqrt{0.9}) }[/tex]

=> 19.4868

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The 4 examples of data types are Integer - a whole number that can be positive, negative, or zero. Float - a number with decimal points. String - text or characters. Boolean - a true or false value.

Data types are the different kinds of data that can be stored in a computer system. They are used to define the type of data a variable can hold.

The four most commonly used data types are Integer, Float, String, and Boolean.

An Integer is a whole number that can be either positive, negative, or zero. Integers are used for counting and manipulating whole numbers.

A Float is a number with decimal points. It is used for storing numerical values that require a more precise representation.

A String is a set of characters and text. It is used for storing textual information such as names and addresses.

A Boolean is a true or false value. It is used for evaluating logical expressions and making decisions based on certain conditions.

Overall, data types are used to specify the kind of information that a variable can store and to ensure that data is stored in a consistent and organized manner.

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The equation that represents the situation could be 3/4(18 + s) = 31.50 and the solution is s = 24 thus option (D) is correct.

There are many different ways to define an equation. The definition of an equation in algebra is a mathematical statement that demonstrates the equality of 2 mathematical expressions.

In another word, the equation must be constrained with some constraints.

Part (A)

Given that;

Cost of skirt = s

cost of blouse = $18

She bought it at 3/4 of that cost,

The Total pay = 3/4 of the total cost

3/4(18 + s) = 31.50

Part (B)

By the distributive property of multiplication then we get;

3/4(18) + 3/4(s) = 31.50

3/4(s) = 31.50 - 13.5

3/4(s) = 18

s = 18 x  4/3 = 24

Hence "The answer is s = 24"

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The amount of garbage thrown away each year by William's family, based on the details of the word problem, is 1.5 tons

A word problem is a presentation of a mathematical question using complete sentences, rather than symbols and numbers, and for which the solution is obtained by using mathematical methods.

The amount (mass) of recyclable material a person produces each month = 50 pounds

The people in William's family are; His mother, father, two sisters

The number of people in Williams family = 5

The amount of recyclable material Williams family throw away each month = 50 × 5 pounds = 250 pounds

The number of months in a year = 12 months

The amount William's family throw away in a year = 12 × 250 pounds = 3000 pounds

1 pound = 0.0005 tons

Therefore;

3000 × 1 pound = 3,000 × 0.0005 tons = 1.5 tons

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On solving the provided question, we can say that - the function value will be [tex]g(x) = -3 + 12x + 15[/tex] and

The topic of numbers, formulae and associated structures, forms and the areas where they exist, quantities and their variations, and spaces where they exist are all included in the field of mathematics. An association between a collection of inputs, each of which has an output, is known as a function. A function is, to put it simply, a relationship between inputs and outputs, where each input has a single, specific outcome. A domain and a codomain, or scope, are assigned to each function. Typically, f is used to represent functions (x). input is x. Four different sorts of functions are available. Based on the following items: One-to-one functions, many-to-one functions, on functions, one-to-one functions, and within functions.

Here,

[tex]y =a(x-x1)(x-x2),[/tex] y equals a(x-5)(x+1)

g(x) = -3(x-5)(x+1)

[tex]g(x) = -3(x-5)(x+1)[/tex]

g(x) = -3 + 12x + 15

y-intercept of g(x) is (0,15)

Therefore , the solution to the given problem of the equation comes out be  y-intercept of g(x) is (0,15).

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The amount of a 160 mg sample remains 5 milligrams after 2160 hours.

Multiplication is a mathematical arithmetic operation. It is also a process of adding the same types of expression for some number of times.

Example - 2 × 3 means 2 is added three times, or 3 is added 2 times.

Given:

The half-life of As-74 is 18 days.

The amount of a 160 mg sample remains after 2160 hours,

= 160 x (1/2[tex])^{90/18}[/tex]

= 160 x (1/2)⁵

= 5 mg.

Therefore, the sample remains 5 mg.

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Answer:

Step-by-step explanation:

i think 1

The actual value of the bill can either be $90 or $81 or $18 or $54 or $27 or $72 or $36 or $63 bill.

A digit is a part of a set that, when taken as a whole, makes up a numeration system. A digit is a number in that particular circumstance. The members of the set 0 through 9 make up the digits of the decimal (base-10) Arabic numbering system.

The bill of customer was mistakenly interchanged by $45.

The sum of the two digits of the bill is 9.

Now,

9 = 9 + 0 or,

9 = 8 + 1 or,

9 = 1 + 8 or,

9 = 5 + 4 or,

9 = 2 + 7 or,

9 = 7 + 2 or,

9 = 3 + 6 or,

9 = 6 + 3

Therefore, $45 bill can be mistakenly interchanged by $90 or $81 or $18 or $54 or $27 or $72 or $36 or $63 bills.

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If a shopkeeper undercharges a customer by interchanging the digits of the bill by $45 and the sum of the digits is 9, then the actual value of the bill is 72 dollars.

Therefore the answer is $72.

Let the tenth and once place value digits of the actual value of bill be x and y. Then actual value of bill in dollars is expressed by

10x + y

The value of bill obtained by interchanging the two digits in dollars is

10y + x

It is said that by interchanging digits the shopkeeper undercharged him by $45.0, that is

(10x + y) - (10y + x) = 45

9x - 9y = 45

Dividing by 9

[tex]\frac{9x + 9y}{9} = \frac{45}{9}[/tex]

x - y = 5

He remembers that the sum of the digits is 9, that is

x + y = 9

Solving the system of equations

x + y = 9

x - y = 5

Adding the equations

(x + y) + (x - y) = 9 + 5

2x = 14

Dividing by 2

x = 7

Substituting x = 7 in first equation

7 + y = 9

y = 2

The actual value of the bill is

10x + y = 10×7 + 2 = 72

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Data collected over several time periods are called time series data.

Time series data refers to data that is collected over several time periods. It captures a sequence of observations of a variable of interest over time, such as sales figures, stock prices, temperature, and so on. The observations are usually taken at regular intervals, such as daily, weekly, monthly or yearly, and the data reflects the changes in the variable over time.

Time series data is useful for identifying trends, patterns, and seasonality in the data, and for making predictions about future values. It's often used in economic forecasting, weather forecasting, and other fields where understanding how a variable changes over time is important.

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The slope(m) of the line that passes through the points (1, −3) and (3, −5) is m = -1.

The slope of a line determines the inclination of the line with the positive x-axis.

The slope of the line passing through (x1, y1) and (x2, y2) is given by m =(y2 - y1) / (x2 - x1)

Given that,

Here, (x1, y1) = (1, −3) and (x2, y2) = (3, −5)

m = (y2 - y1) / (x2 - x1)

m = [-5 - (-3)] / [3 - 1]

m = [-5 + 3] / [2]

m = [-2] / 2

m = -1

Slope = m = -1

Thus, The slope(m) of the line that passes through the points (1, −3) and (3, −5) is m = -1.

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Answer:

Step-by-step explanation:

First you want to subtract 22 from both sides. then the 22s would cross cancel. Next you would divide both sides by 2. then you have an answer.