Can someone help me please i really need help with this.

use the Remainder Theorem and synthetic division please

Step-by-step explanation:

Refer to pic...........

Answer:

A part of basic arithmetic, long division is a method of solving and finding the answer and remainder for division problems that involve numbers with at least two digits. Learning the basic steps of long division will allow you to divide numbers of any length, including both integers (positive,negative and zero) and decimals. This process is an easy one to learn, and the ability to do long division will help you sharpen and have more understanding of mathematics in ways that will be beneficial both in school and in other parts of your life.[1]

Step-by-step explanation:

A part of basic arithmetic, long division is a method of solving and finding the answer and remainder for division problems that involve numbers with at least two digits. Learning the basic steps of long division will allow you to divide numbers of any length, including both integers (positive,negative and zero) and decimals. This process is an easy one to learn, and the ability to do long division will help you sharpen and have more understanding of mathematics in ways that will be beneficial both in school and in other parts of your life.[1]

In Mathematics, a set is a group of unique elements. Here, the set M consists of three-digit numbers where the first digit is greater than the second by 4, and the third digit is greater than the first by 2. Examples of such numbers could be 530, 641, 752, etc.

The subject of the question is Mathematics, more specifically, the definition and properties of a set. In Mathematics, a set is a collection of distinct elements. A three-digit number has three digits: the first, second and third digit. In this case we need numbers where the first digit is greater than the second by 4, and the third digit is greater than the first by 2.

For example, let's take 501. Here, 5 is the first digit, 0 is the second and 1 is the third. The first digit is greater than the second by 5, not 4, therefore 501 does not belong to the set. But if we consider 640, here 6 is the first digit, 4 is the second and 0 is the third. The first digit is greater than the second by 2 and the third digit is less than the first by 6. So 640 belongs to the set. Therefore, our set M can include numbers like 530, 641, 752, and so on.

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Answer:

Step-by-step explanation: 5.6 / 8 = 0.7

Answer:

x = 5 + [tex]\sqrt{7}[/tex]

x = 5 - [tex]\sqrt{7}[/tex]

Step-by-step explanation:

The given quadratic equation is:

x^2 - 10x + 18 = 0

We can solve this equation using the quadratic formula, which states that for a quadratic equation of the form ax^2 + bx + c = 0, the solutions for x are given by:

x = (-b ± sqrt(b^2 - 4ac)) / 2a

In this case, a = 1, b = -10, and c = 18. Substituting these values into the quadratic formula, we get:

x = (-(-10) ± sqrt((-10)^2 - 4(1)(18))) / 2(1)

Simplifying the expression inside the square root, we get:

x = (10 ± sqrt(100 - 72)) / 2

x = (10 ± sqrt(28)) / 2

x = (10 ± 2sqrt(7)) / 2

Simplifying further, we get:

x = 5 ± [tex]\sqrt{7}[/tex]

Hence the value of x from the given diagram is 4.5

The relationship between the height on the hypotenuse of a right triangle and the two line segments it generates on the hypotenuse is described by the right triangle altitude theorem, also known as the geometric mean theorem, which is a consequence of elementary geometry.

From the diagram shown:

6/8 = x/6

Cross multiply

6*6 = 8x

36 = 8x

x = 36/8

x = 4.5

Hence the value of x from the diagram is 4.5

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The equation rewritten as a function of x is

[tex]y \ln \left(-2 x+x^2+2 y \right)=\ln (x)[/tex]

Generally, In the field of mathematics, an assignment of one element from set Y to each and every element in set X is the definition of a function. This particular set, X, is referred to as the function's domain, and this particular set, Y, is referred to as the function's codomain.

Historically, functions have been seen as an idealization of the way in which one variable relies on another variable. Wikipedia

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Answer:

Rounding 395,621 to the nearest ten thousand is 400,000.

Step-by-step explanation:

Answer:

the nearest 10 thousand is 400,000.

Step-by-step explanation:

hope this helps!

Answer:

To find the scale of the photograph, we need to determine the ratio between the actual height of the man and the height of the man in the photograph.

First, we convert the height of the man from feet to inches:

6 feet = 6 x 12 = 72 inches

Next, we can set up a proportion:

actual height of man / height of man in photograph = scale factor

Substituting the given values, we get:

72 inches / 1.5 inches = scale factor

Simplifying, we get:

scale factor = 48

Therefore, the scale of the photograph is 1:48, which means that one inch in the photograph represents 48 inches (or 4 feet) in real life.

From the Venn diagram,  the sum of the numbers in all the circles and overlapping areas should add up to the total number of students surveyed, which is 85.

In the Venn diagram:

Using the information given:

Note that the sum of the numbers in all the circles and overlapping areas should add up to the total number of students surveyed, which is 85.

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Answer:

Step-by-step explanation:

I don’t understand this app how do I use it

The area of the painting, frame and painting, frame are 84 square inches, 174 square inches and 90 square inches. respectively.

Length = 10.5 in

Width = 8 in

Area of the painting = Length × Width

= 10.5 in × 8 in

= 84 square inches

Length = 14.5 in

Width = 12 in

Area of the frame and painting = Length × width

= 14.5 in × 12 in

= 174 square inches

Area of the frame = Area of the frame and painting - Area of the painting

= 174 square inches - 84 square inches

= 90 square inches

In conclusion, the areas are 84 square inches, 174 square inches and 90 square inches. respectively.

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Answer:

Step-by-step explanation:

Line 1: (2 - 7)/(-2 + 4) = -5/2

Line 2: (-1 + 8)/(0 + 5) = 7/5

Line 3: (8 + 2)/(-2 -2)= 10/-4 = -10/4 = -5/2

Line 1 and Line 2: Neither

Line 1 and Line 3: Parallel

Line 2 and Line 3: Neither

Answer:

8 hours

Step-by-step explanation:

To solve for the number of hours (h) Jessica paid, we can use this expression:

We do this because in order to find the total number of hours spent renting the bike, we need to take the total amount of money spent and subtract the fixed fee from it. Then, we divide by 6 to get the total number of hours spent.

Solving what is in the parenthesis:

Therefore, Jessica spent 8 hours renting the bike.

The best estimate of the time it will take Andrea and her friend to paint the fence together is 2.4 hours.

What is work and time in mathematics?

In mathematics, work refers to the amount of effort or energy needed to complete a task or achieve a goal. Work is often measured in units such as joules or calories.

Time refers to the duration or amount of time it takes to complete a task or achieve a goal. Time is often measured in units such as seconds, minutes, hours, or days.

To estimate the time it will take Andrea and her friend to paint the fence together, we can use the formula:

Total Time = (Time for Person 1 x Time for Person 2) / (Time for Person 1 + Time for Person 2)

Using this formula, we can estimate the time it will take Andrea and her friend to paint the fence together as:

Total Time = (6 hours x 4 hours) / (6 hours + 4 hours) = 24/10 = 2.4 hours

Therefore, the best estimate of the time it will take Andrea and her friend to paint the fence together is 2.4 hours.

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Answer:

Step-by-step explanation:

Just multiply the denominator just that  1/9 divided by 3 is 1 /27 your welcome have a good day :)

Answer:

[tex]\frac{1/9}{3/1}=[/tex] [tex]\frac{1}{27}[/tex]

Step-by-step explanation:

[tex]skip:[/tex] [tex]\frac{1}{9}[/tex]

[tex]flip:[/tex] [tex]\frac{3}{1} = \frac{1}{3}[/tex]

[tex]Equation Now: \frac{1/9}{1/3}[/tex]

[tex]Multiply: \frac{1}{9}*\frac{1}{3}=\frac{1}{27}[/tex]

[tex]Answer=[/tex][tex]\frac{1}{27}[/tex]

Answer:[tex]3x^{5} \sqrt{x}[/tex]

Step-by-step explanation:

The correct options for the frequency table problem is -

D. Categories are descriptions of​ data, such as which grades students received on a test or the heights of trees in a forest. They can describe qualities or represent counts or measurements. The frequency of a category is the number of data values in the category.

What is frequency table?

A frequency table is just a two-column "t-chart" or table that lists all of the potential outcomes and their corresponding frequencies as seen in a sample.

D. Categories are descriptions of data, such as which grades students received on a test or the heights of trees in a forest.

They can describe qualities or represent counts or measurements.

The frequency of a category is the number of data values in the category.

A frequency table is a table that displays the categories or groups of a set of data along with their corresponding frequencies.

The categories are typically represented in the left column, and the frequencies are listed in the right column.

The categories represent the possible values or ranges of values that the data can take.

For example, in a frequency table of student grades on a test, the categories might be "A," "B," "C," "D," and "F."

The frequency of a category is the number of times that the data falls within that category.

For example, if there are 20 students in a class and 5 of them received an "A" on a test, then the frequency of the "A" category would be 5.

Relative frequency is the proportion or percentage of observations in a category relative to the total number of observations.

It is calculated by dividing the frequency of a category by the total number of observations.

For example, if there are 20 students in a class and 5 of them received an "A" on a test, then the relative frequency of the "A" category would be 5/20 = 0.25 or 25%.

Cumulative frequency is the running total of frequencies for a set of data.

For example, if the frequency of the "A" category is 5 and the frequency of the "B" category is 10, then the cumulative frequency of the "B" category would be 5 + 10 = 15.

It represents the total number of observations that fall within a category and all previous categories.

Therefore, the correct option is D.

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There are 10⁹(1 billion) possible Social Security numbers that can be formed. The probability of correctly guessing the Social Security number of the president of the United States is practically zero. This is because there are so many possible combinations, and it is highly unlikely that anyone would guess the correct number.

Number is a mathematical object used to count, measure, and label. It is used to express amounts, or magnitude of a quantity. Numbers are used in almost every field of life, such as science, engineering, economics, finance, and many other areas. Numbers are used in a wide range of contexts and are essential to modern life. They are used to communicate information, to measure time, and to represent values. Furthermore, numbers are used to represent abstract ideas, such as the probability of an event occurring. Numbers are also used to create patterns, which are essential to understanding complex systems. Without numbers, it would be impossible to measure anything, make estimates, or draw conclusions.

(a) There are a total of 10^9 (1 billion) possible Social Security numbers. This is calculated by multiplying the 10 possible digits (0-9) for each of the nine positions in the number, which gives 10 x 10 x 10 x 10 x 10 x 10 x 10 x 10 x 10 = 10⁹.

(b) The probability of correctly guessing the Social Security number of the president of the United States is 1 in 10⁹. This is because there are a total of 10^9 possible Social Security numbers, and the president's number is only one of those.

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The values of x and y  equals to  13 , 52 respectively .

What is Algebraic expression ?

Algebraic expression can be defined as combination of variables and constants.

If y varies directly with x, it means that y is proportional to x, and we can write this relationship as:

y = kx

where k is the constant of proportionality.

To find the value of k, we can use the given information that x = 7 when y = 28:

28 = k * 7

Simplifying this equation, we get:

k = 28/7 = 4

Now that we have found the value of k, we can use the equation y = kx to find y when x = 13:

y = 4 * 13 = 52

Therefore, The values of x and y  are 13 , 52 respectively .

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We can see that the scale factor is 0.5, which means that the image got smaller, and that the values are:

b' = 4

c = 14.

If k is the scale factor applied, all the sides are modified by the same scale factor, so we know that:

a' = k*a

Here we know that:

a =  6

a' = 3

Then:

3 = k*6

3/6 = k

1/2 = k

now.

If b = 8, then:

b' = (1/2)*8 = 4

if c' = 7, then:

7 = (1/2)*c

2*7 = c

14 = c

Finally, the scale factor is smaller than 1, then the image got smaller, and the scale factor is 1/2 = 0.5

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The measure of data that must represent a number in the set that is greater than 2 of the numbers in the set and less than 2 of the numbers is the median.

The median is the middle value in a set of data when the values are listed in order from least to greatest (or greatest to least). If there are an odd number of values in the set, the median is the middle value. If there are an even number of values in the set, the median is the average of the two middle values.

If a number in the set is greater than 2 of the numbers and less than 2 of the numbers, then it falls between the first and last quartile of the data set. Therefore, the median, which represents the middle value in the data set, must also fall between the first and last quartile, and thus it must represent a number in the set that is greater than 2 of the numbers and less than 2 of the numbers.

The percentage of temperatures for Shanghai that falls between 46 degrees Fahrenheit and 78 degrees Fahrenheit is A. 50 %.

The interquartile range (IQR) of a box and whisker plot is defined as the difference between the third quartile (Q3) and the first quartile (Q1). It represents the spread of the middle 50% of the data.

On a box plot, the interquartile range (IQR) is represented by the box itself. The box extends from the first quartile (Q1) to the third quartile (Q3) and contains the middle 50% of the data.

This means that for Shanghai, the temperatures of 46 degrees Fahrenheit and 78 degrees Fahrenheit represent the IQR which means that this is 50 % of the temperature.

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The full question is:

The box-and-whisker plots below show the mean monthly temperatures (°F) for Mexico City, Mexico, and Shanghai, China. What percent of the temperatures for Shanghai fall between 46°F and 78°F? *

Answer:

Alan had 272 cards initially and Ben had 88 cards initially.

Step-by-step explanation:

Let's start by assuming that Alan had x cards and Ben had y cards initially. We know that the sum of their cards is 360, so:

x + y = 360

In the first game, Alan lost 2/5 of his cards to Ben, so he gave away (2/5)x cards to Ben. Therefore, he was left with:

(3/5)x cards

Ben received (2/5)x cards from Alan and had y cards initially, so he had:

y + (2/5)x

cards after the first game.

In the second game, Alan won 1/4 of Ben's cards, so he received (1/4)(y + (2/5)x) cards. Therefore, he had:

(3/5)x + (1/4)(y + (2/5)x)

cards after the second game.

In the third game, Alan lost 1/6 of his cards to Ben, so he gave away (1/6)(3/5)x cards to Ben. Therefore, he was left with:

(2/3)(3/5)x = (2/5)x

cards.

Ben received (1/6)(3/5)x cards from Alan in the third game, and he had y + (2/5)x cards after the first game. Therefore, he had:

y + (2/5)x + (1/6)(3/5)x = y + (9/25)x

cards after the third game.

Since both boys ended up with the same number of cards, we can set the expressions for their final card counts equal to each other:

(3/5)x + (1/4)(y + (2/5)x) = y + (9/25)x

Multiplying both sides by 100 to get rid of the fractions, we get:

60x + 25y + 50x = 100y + 36x

Simplifying, we get:

24x = 75y

Since x + y = 360, we can use this equation to solve for one of the variables in terms of the other:

x = 360 - y

Substituting into the equation we just obtained, we get:

24(360 - y) = 75y

Simplifying, we get:

8640 - 24y = 75y

99y = 8640

y = 87.27

Since y must be a whole number (since it represents the number of cards that Ben had initially), we can round it up to 88. Substituting into the equation x + y = 360, we get:

x + 88 = 360

x = 272

Therefore, Alan had 272 cards initially and Ben had 88 cards initially.

To find the initial number of game cards Alan and Ben had, we can set up an equation and solve for a variable. The equation involves using the information about the games played and the number of cards lost and gained by Alan. The solution will give us the initial numbers of cards for both boys.

To solve this problem, let's assume that Alan had x cards and Ben had y cards at the beginning. We are given that Alan lost 2/5 of his cards to Ben in the first game, so he had (3/5)x cards left and Ben had y + (2/5)x cards. In the second game, Alan won 1/4 of Ben's cards, so he gained (1/4)(y + (2/5)x) cards, leaving him with (3/5)x + (1/4)(y + (2/5)x) cards. In the last game, Alan lost 1/6 of his cards to Ben, so he had (5/6)((3/5)x + (1/4)(y + (2/5)x)) cards left. Since both boys had the same number of cards in the end, we can set up the equation: (5/6)((3/5)x + (1/4)(y + (2/5)x)) = y + (2/5)x. After simplifying and solving for y in terms of x, we can substitute back into the equation to find the value of x.

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Because the cost equation is c(x)=7000+4x, the marginal profit at a production level of 3000 is $9.4 per unit.

An equation in mathematics is a claim made regarding the equivalence of two expressions. It includes one or more variables (unknown values) and describes how those variables and/or constants relate to one another. For instance, the line on a coordinate plane denoted by the equation y = 3x + 5 has a y-coordinate that is equivalent to three times the x-coordinate plus five. Three and five are constants in this equation, while x and y are factors. Finding the value(s) of the dependent variables) that make the equation true is one way to answer an equation. In the example above, we can enter y = 11 into the equation .

given

We must first determine the revenue function, which is provided by, in order to determine the marginal profit at a production level of 3000:

14x - x/1000x = R(x) = xp(x) = 14x - x2/1000

where the demand function is given by p(x) = 14 - x/1000.

The benefit function is next, and it is provided by:

P(x) = R(x) - C(x) = (10x - x2/1000 - 7000) + (4x) = 14x - x2/1000

where the cost function, C(x), equals 7000 plus 4x.

We must take the derivative of the profit function with regard to x and evaluate it at x = 3000 in order to determine the marginal profit:

P'(3000) = 10 - 3/5 = 9.4

Because the cost equation is c(x)=7000+4x, the marginal profit at a production level of 3000 is $9.4 per unit.

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10 is the appropriate response to the expression.

Carlos gave the erroneous response of 29.

Carlos made the error of doing addition and subtraction operations prior to multiplication and division operations, as is evident.

Every mathematical statement that includes numbers, variables, and an arithmetic operation between them is known as an expression or algebraic expression. In the phrase 4m + 5, for instance, the terms 4m and 5 are separated from the variable m by the arithmetic sign +.

Everything with a variable value is anything whose value changes over time. Typically, alphabetical letters like a, b, c, m, n, p, x, y, and z are used to denote expression variables. A combination of several variables and integers can be used to create a variety of expressions.

From the question:

We must assess the expression utilizing the PEMDAS order of operations and contrast the results:

20 - (2x6) + 8 ÷ 4

= 20 - 12 + 2

= 10

Carlos gave the erroneous response of 29. It seems that Carlos determined the expression to be: 20 - (2x6) + 8 ÷ 4 = 29

Carlos made the error of doing addition and subtraction operations prior to multiplication and division operations, as is evident. Multiplication and division must be done before addition and subtraction, per the PEMDAS order of operations.

Carlos ought to have determined the expression to be:

20 - (2x6) + 8 ÷ 4 = 20 - 12 + 2 = 10

Hence, 10 rather than 29 is the appropriate response to the expression.

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Answer:

[tex]\textsf{1.} \quad \left(f \cdot g \right)(x)=x^6+2x^5 -6x^4+3x^2+6x -18[/tex]

[tex]\textsf{2.} \quad\left(f -g \right)(x)=- x^4+x^2+2x-9[/tex]

Step-by-step explanation:

To calculate (f ⋅ g)(x), multiply function f(x) by function g(x) by distributing the parentheses:

[tex]\begin{aligned}\left(f \cdot g \right)(x)&=(x^2+2x-6)(x^4+3)\\&=x^2 \cdot x^4 +x^2 \cdot 3+2x \cdot x^4+2x \cdot 3 -6 \cdot x^4 -6 \cdot 3\\&=x^6+3x^2+2x^5+6x -6x^4 -18\\&=x^6+2x^5 -6x^4+3x^2+6x -18\\\end{aligned}[/tex]

To calculate (f - g)(x), subtract function g(x) from function f(x) by applying the distributive law -(a + b) = -a - b:

[tex]\begin{aligned}\left(f -g \right)(x)&=(x^2+2x-6) - (x^4+3)\\&=x^2+2x-6 - x^4-3\\&=- x^4+x^2+2x-6 -3\\&=- x^4+x^2+2x-9\end{aligned}[/tex]

Note:  The standard form of a polynomial is expressed by writing the term with the highest degree first, followed by the other terms in order of decreasing powers.

The side x of the similar triangle is 12.7 units.

The triangles are similar triangle.

Two triangles are said to be similar when they have two corresponding angles congruent and the sides proportional.

Therefore, using the proportion

37- 5 / x = x / 5

Evaluate the difference of 37 and 5

32 / x = x / 5

Cross multiply the equation

x × x = 32 × 5

So, we have

x² = 160

Take the square root of both sides

x = √160

Evaluate the square roots

x = 12.6491106407

Hence, the value of x is x = 12.7 units (when approximated)

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Answer:

-1/3x + 62/3

Step-by-step explanation:

Interchange the variables:  y = -3x + 62

Swap the sides:  -3y + 62

Move constant:  -3y + 62 = x

Divide and simplify:  -3y = x - 62

Answer: -1/3x + 62/3

Please help me with my answer.  I'm stuck and really need help on it.

Answer:

-3 = slope, 62 = y intercept

Step-by-step explanation:

The profit to be made by selling the house for $290000 is $30000

An equation is an expression that shows how two or more numbers and variables are related using mathematical operations of addition, subtraction, multiplication, division, exponents and so on.

You originally bought it for $250,000 and spent an additional $10,000 in renovations, Hence:

Total money spent = $250000 + $10000 = $260000

The realtor thinks you can sell it for $290,000. Therefore:

Profit = $290000 - $260000 = $30000

The profit to be made by selling the house is $30000

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