it earned 32000 per month has been One by fourth of his income on food 3y 10 of the remainder on house rent and 5 by 21 of the remainder on the education of children how much money is still life with him​

To add the two expressions (2x^2+6x−3) and (2x^3 −3x+2), we need to combine like terms. Like terms are terms that have the same variable and exponent.

The two expressions have no like terms, so we can simply add them as follows:

(2x^2+6x−3) + (2x^3 −3x+2) = 2x^2 + 6x − 3 + 2x^3 − 3x + 2

= 2x^2 + 2x^3 + 6x − 3x − 3 + 2

= 2x^2 + 2x^3 + 3x − 3 + 2

= 2x^2 + 2x^3 + 3x − 1

The resulting expression is (2x^2 + 2x^3 + 3x − 1).

Learn more about the same problem here: https://brainly.com/question/1208963

Given equations: 2x^2+6x-3+2x^3-3x+2

                             = 2x^2+2x^3+6x-3x-3+2

                             =2x^3+2x^2+3x-1

For more equation questions see,

https://brainly.com/question/27893282

Answer:

22

Step-by-step explanation:

I factor out the radicand and get 22

Let's test if my answer is correct!

22 times 22 = 484

So, my answer is correct!

The number of cubes of edge length 1/3 is 27 and the volume of the cube is 1 cubic inches

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

The volume of a cube is the cube of its edge length

This means that the volumes are

Volume = Edge length³

So, we have

Volume of cube 1 = (1/3 inch)³ = 1/27 cubic inches

Volume of cube 2 = (1 inch)³ = 1 cubic inch

The number of cubes is then calculated as

Number of cubes = Volume of cube 2/Volume of cube 1

This gives

Number of cubes = 1/(1/27)

Number of cubes = 27

Here, we have

Edge length of cube = 1 inch

The volume of a cube is the cube of its edge length

This means that the volumes are

Volume = Edge length³

So, we have

Volume of cube = (1 inch)³ = 1 cubic inch

Read more about volume at

brainly.com/question/463363

#SPJ1

Answer: bro this ez 1.5 for the first one second should be 22 correct me if im wrong.

Step-by-step explanation:

Arithmetic mean of the data set 4,5,0,10,8and 3  is '5'

What Is the Arithmetic Mean?

The easiest and most popular way to calculate a mean or average is with simple mathematics. It simply entails adding up a collection of numbers, dividing that total by the number of numbers in the series, and adding the result together.

given data set is -

4 , 5 , 0 , 10 , 8 and 3

number of observations in given data set are '6'

arithmetic mean ( AM ) formula is

AM = (sum of all observations in given data set) / (total number of observations)

sum of all observations in given data set = 4 + 5 + 0 + 10 + 8 + 3

= 30

AM = 30 / 6 = 5

arithmetic mean of the data set 4,5,0,10,8and 3  is '5'

Learn more about Arithmetic mean

brainly.com/question/13000783

#SPJ4

Answer:

x = 43.25

Step-by-step explanation:

(x + 2 )+ (x + 2) + (2x + 3) = 180(total angles in a triangle)

x + 2 + x + 2 + 2x + 3 = 180

x + x + 2x + 2 + 2 + 3 = 180

4x + 7= 180

4x = 180 – 7

4x = 173

divide both sides by (4)

[tex] \frac{4x}{4} = \frac{173}{4} [/tex]

x = 43.25

i hope this helps

Answer:

[tex]m=\frac{3}{2}[/tex]

Step-by-step explanation:

The x value of the y-intercept must be 0, so let

[tex](x_1,y_1)=(0,1)[/tex]

and

[tex](x_2,y_2)=(4,7)[/tex]

The slope of a line can be found with the following:

[tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]

So,

[tex]m=\frac{(7)-(1)}{(4)-(0)}\\m=\frac{6}{4}\\m=\frac{3}{2}[/tex]

Therefore , the solution to this problem is confidence interval 95% is given by Z =1.96.

In frequentist statistics, a confidence interval is the range of estimates for an unknown quantity. 95% is the most frequent confidence level used when calculating confidence intervals, however 90% and 99% are also occasionally used.

a)85 out of 100 paid at the pump using credit card

Thus,

p = proportion of customers who paid at the pump using credit card

  = 85/100

  = 0.850

Estimated Value of the population proportion = 0.850

b)

Given:

p' = 0.85           ....... Sample Proportion

n = 100           ....... Sample Size

For 95% Confidence interval

α = 0.05,      α/2 = 0.025

From z tables of Excel function

Z = [tex]\frac{p'-p}{\sqrt{p(1-p)/n} }[/tex]

we find the z value

z = (0.025) = 1.96

We take the positive value of z

Therefore , the solution to this problem is confidence interval 95% is given by Z =1.96.

To know more about Confidence Interval , visit

brainly.com/question/13067956

#SPJ4

The equation of line passing through point (-1,0) and slope 4 in slope intercept is  y = 4x + 4   .

The Slope Intercept form of the line is denoted as " y = mx + c " , c in y intercept and m is slope .

the slope of the line is given to be = 4 ;

and the line passes through the point (-1,0) ,

which can be represented as : 0 = (-1)(4) + c ,

0 = -4 + c .

On simplifying further ,

we get ;

c = 4 .

Substituting the values , we get equation as ⇒ y = 4x + 4 .

Therefore , the equation of line is y = 4x + 4  .

The given question is incomplete , the complete question is

How do you write an equation in slope intercept form with one point and slope ? the point is (-1,0) and slope is 4 .

Learn more about Equation Of Line here

https://brainly.com/question/29149167

#SPJ4

There are 5 types of line graphs:

1) Simple line graph                                 2) Compound Line Graph

3) Multiple Line Graph                             4)Vertical Line Graph

5) Horizontal Line Graph                         6) Straight Line Graph

1) Simple Line Graph:

A simple line chart is the most basic type of line chart. Only one dependent variable is tracked in this chart, so there is only one line connecting all the data points on the chart. All points in the chart relate to the same element and the sole purpose of the chart is to track changes in these variables over time. Only variables are graphed, so this graph cannot be used to compare one variable to another.

2) Multiple Line Graph:

In a multiple line chart, multiple dependent variables are plotted on a chart and compared against a single independent variable (often time). Different dependent variables are often marked with different colored lines to distinguish each data set. Each row relates only to points in the specified dataset. Lines do not cross between dependent variables.

3) Compound Line Graph:

If information can be subdivided into two or more types of data. This type of line graph is called a compound line graph.  Composite line charts, like multiline charts, use multiple variables. However, variables are often stacked on top of each other to show the sum of all variables. This informs the user not only of the relationship between each variable, but also of how the total is changing.

4) Vertical Line Graph:

A vertical line chart is a chart in which a vertical line extends from each data point to the horizontal axis. A vertical line chart is sometimes called a column chart. A line parallel to the y-axis is called a vertical line.

5) Horizontal Line Graph:

A horizontal line chart is a chart with a horizontal line running parallel to the globe at each data point. Horizontal line charts are sometimes called line charts.

6) Straight Line Graph:

A line parallel to the X axis is called a vertical line. Line charts are often used to solve conditions that change over specific time intervals. The general linear function has the form y = mx + c, where m and c are constants.

Learn more about Line Graph:

https://brainly.com/question/11967677

#SPJ4

Answer:

looooookkkkkk at the picture

'4 more than a number' implies that there exists a number which is 4 units greater than the original number, using the concept of addition.

Addition (usually signified by the plus symbol +) is one of the four basic operations of arithmetic, the other three being subtraction, multiplication and division.The addition of two whole numbers results in the total amount or sum of those values combined. The example in the adjacent image shows a combination of three apples and two apples, making a total of five apples. This observation is equivalent to the mathematical expression "3 + 2 = 5" (that is, "3 plus 2 is equal to 5").

Besides counting items, addition can also be defined and executed without referring to concrete objects, using abstractions called numbers instead, such as integers, real numbers and complex numbers. Addition belongs to arithmetic, a branch of mathematics. In algebra, another area of mathematics, addition can also be performed on abstract objects such as vectors, matrices, subspaces and subgroups.

Now, let us understand the meaning.

Let the original number be x.

'4 more than a number' implies x + 4.

This means that the new number, x + 4, is greater than the original number, x, by 4 units. We also have to keep in mind, [tex]x + 4 > x[/tex].

Hence, the final meaning is 4 units greater than the original number.

To learn more about addition, visit the link:

brainly.com/question/29464370

#SPJ4

Answer:

(- 2, - 3 )

Step-by-step explanation:

since the dilatation is centred at the origin, then multiply the coordinates by the scale factor.

(- 8, - 12 ) → ([tex]\frac{1}{4}[/tex] (- 8), [tex]\frac{1}{4}[/tex] (- 12) ) → (- 2, - 3 )

All the options that result in (x + 4 ) (x 4 ) = 0 being true are the ultimate answer and x = − 4 , 4.

Here, x²-16=0

rewrite 16 as 4²

then, (x+4)(x-4)

Any factor on the left side of the equation that is equal to 0 will make the entire expression equal to 0.

x+4=0 and find x

Then x=-4

x-4=0 and find x

x=4.

Hence, All the options that result in (x + 4 ) (x 4 ) = 0 being true are the ultimate answer and x = − 4 , 4.

To learn more about algebra refer to:

https://brainly.com/question/22399890

#SPJ4

Answer:

B. 1 & 1  

C. 5 & 3

D. 2 & 2

E. 4 & 0

Something interesting about these was me having to just use simple and smaller numbers to complete the equations.

Answer:

answers is in attached picture.

Step-by-step explanation:

Answer:

8 minutes = 3 songs

Step-by-step explanation:

Time taken for 1 song is,

→ 72/27

→ 2.6667

→ ≈ 2.7 minutes

Then songs played in 8 minutes,

→ Total time ÷ Time for 1 song

→ 8 ÷ 2.7

→ 2.96296

→ ≈ 3 songs

Hence, the answer is 3 songs.

32.3 divided 5.6 is 0.173

What is an estimation number?

Estimation of numbers is the process of estimating/approximating or rounding off the numbers in which the value is used for some other purpose in order to avoid complicated calculations.

Change the divisor 32.3 to a whole number by moving the decimal point 1 places to the right.

Then move the decimal point in the dividend the same, 1 places to the right.

Now we have the equations:

56 ÷ 323 = 0.173

and therefore:

5.6 ÷ 32.3 = 0.173

Both calculated to 3 decimal places.

32.3 divided 5.6 is 0.173

To learn more about estimate numbers check the given link

brainly.com/question/28741903

#SPJ1

Answer:

[tex]y=\frac{3}{5}x+\frac{1}{5}[/tex]

Step-by-step explanation:

Using the points [tex](3,2)[/tex] and [tex](8,5)[/tex],

[tex]m=\frac{5-2}{8-3}=\frac{3}{5} \\ \\ y-2=\frac{3}{5}(x-3) \\ \\ y-2=\frac{3}{5}x-\frac{9}{5} \\ \\ y=\frac{3}{5}x+\frac{1}{5}[/tex]

The inverse of a 3x3 matrix is found by creating an Adjugate Matrix.

Step 1 : For any matrix M find the adjoint matrix.

        [tex]\text{Let a matrix }M= \left[\begin{array}{ccc}1&2&3\\0&1&4\\5&6&0\end{array}\right][/tex]

                         [tex]M^{T}= \left[\begin{array}{ccc}1&0&5\\2&1&6\\3&4&0\end{array}\right][/tex]

                       Adj M = [tex]\left[\begin{array}{ccc}-24&18&5\\20&-15&-4\\-5&4&1\end{array}\right][/tex]

Step 2 :Find Determinant of a 3x3 Matrix

         [tex]M= \left[\begin{array}{ccc}1&2&3\\0&1&4\\5&6&0\end{array}\right][/tex]

       det (M)= 1 (0- 24 ) - 2 (0 - 20 )+3 (0- 5 )

                  = - 24 + 40 -15

                  = 40 - 39

                  = 1

Step 3 : Find inverse matrix [tex]M^{-1}[/tex]

          [tex]M^{-1 } = \frac{1}{det (M)} (Adj M)[/tex]

          [tex]M^{-1 } = \frac{1}{det (M)} (Adj M)\\\\M^{-1 } = \frac{1}{1}\left[\begin{array}{ccc}-24&18&5\\20&-15&-4\\-5&4&1\end{array}\right]\\\\M^{-1 }=\left[\begin{array}{ccc}-24&18&5\\20&-15&-4\\-5&4&1\end{array}\right][/tex]

To learn more about matrix, refer:

https://brainly.com/question/1279486

#SPJ4

The ratios of win to lose are 13 : 8, 13/8 and 1.625%

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

Win = 50 more than lose

Win = 130

This means that

Win = 50 + Lose

So, we have

50 + Lose = 130

Evaluate

Lose = 80

The ratio is then represented as

Ratio = win to lose

This gives

Ratio = 130 : 80

So, we have

Ratio = 13 : 8

Express as fraction

Ratio = 13/8

Lastly, we have

Ratio = 1.625%

Hence, the ratio is 1.625%

Read more about ratio at

https://brainly.com/question/2328454

#SPJ1

The total surface area of the cylinder is 10635 cm-square

Given, the length of the toilet paper roll = 16 cm

The radius of the toilet paper roll = 6cm

The diameter of the inside roll = 3cm

So, the radius of inside cylinder = diameter/2 = 3/2 = 1.5 cm

We know that the formula for :

The total surface area of a cylinder = 2πrh (h+r)

Here, h = 16 cm

r1 = 6cm and r2 = 1.5 cm

Since there are two cylinders one cylinder inside another so here total surface area will be equal to :

2πr1h (h+r1) - 2πr2h (h+r2)

On calculating, Total surface area = 10635 cm-square

To know more about cylinder follow the given link :

https://brainly.com/question/6204273

Answer:

m=102

Step-by-step explanation:

You forgot to attach an image of the lines, but I have it here, so no worries

We know that two parallel lines are crossed by a transversal. m are consecutive interior angles. We know that they add up to 180 degrees.

So, our equation is

78 + m = 180

m = 102

The balance after 5 years would be near around 5661 dollars.

What is compound interest?

Compound interest is the addition of interest to the principal sum of a loan or deposit, or in other words, interest on principal plus interest.

According to the given question:

First, convert R as a percent to r as a decimal

r = R/100

r = 2.5/100

r = 0.025 rate per year,

Then solve the equation for A

A = P(1 + r/n)ⁿˣ

A = 5000(1 + 0.025/2)²ˣ⁵

A = 5661.35

Hence the balance after 5 years would be near around 5661 dollars.

To learn more about compound interest visit:

brainly.com/question/24274034

#SPJ1

How do you find the mean of 4 numbers?

Finding the mean, refers to finding the average. To do this, add the four numbers together and then divide that number by 4.

The transformation of the function is y = -1/7(2ˣ ⁺ ⁸)

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

y = 2°

Rewrite properly

So, we have

y = 2ˣ

The given transformations are

The riles of these transformations are

When they applied, we have

y = 1/7(2ˣ)

Then,  we have

y = 1/7(2ˣ ⁺ ⁸)

Lastly, we have

y = -1/7(2ˣ ⁺ ⁸)

Hence, the transformed equation is y = -1/7(2ˣ ⁺ ⁸)

Read more about transformation at

https://brainly.com/question/27224272

#SPJ1

On the Formula tab, click AutoSum > Sum. Excel will automatically sense the range to be summed.

Now, According to the question:

How do I add value to an existing cell in Excel?

One quick and easy way to add values in Excel is to use AutoSum. Just select an empty cell directly below a column of data. Then on the Formula tab, click AutoSum > Sum. Excel will automatically sense the range to be summed.

How do I add a digit to an existing number in Excel?

Say you have 50 in the cell in question, and want to add 30 to it. Then the clever part: Right-click on the cell with 50 in it, and select Paste Special. In the box that comes up, select 'Add'.

Learn more about Excel at:

https://brainly.com/question/28995447

#SPJ4

The coefficient of x³y² in the expansion of (2x+y)5 is 80.

Given data :

The coefficients of terms of (p+q)^n can be found by the Pascal's triangle for small values of n.  Pascal's triangle will start with (1,1)  = coefficients of (p,q)^n =1.  For n=2, we add successive terms of the previous value of n.  Thus for n-2, we have (, 1+1,11=(1,2,1), for n=3, we have (1,3,3,1), giving the following pattern:

(1,1)

(1,2,1)

(1,3,3,1)

(1,4,6,4,1)

(1,5,10,10,5,1)

meaning for n=5, the binomial expansion for (P+Q)^5 is

P^5+5P^4Q+10P^3Q^2+10P^2Q^3+5PQ^4+Q^5

Setting P=2x, Q=y in the term 10P^3Q^2, we get a term

10(2x)^3(y)^2

=10(8x^3)(y^2)

=80x^3y^2

So the required coefficient is K=80.

We can also find the coefficient 10 by binomial expansion of

n=5, x=3 in

C(n,x) = n! / (x! (n-x)!) = 5! / (2!3!) = 5*4*3/(1*2*3) = 10

Then again substituting 10(2x)^3(y)^2 = 80x^3y^2

to get the coefficient K=80.

Learn more about coefficient in expansion refer to :

https://brainly.com/question/24068089

#SPJ1

When we put the value of 1 in place of n in the equation, the value obtained will be equal to the largest prime factor that is 61.

A prime number is any whole number that is greater than 1 and cannot be created by combining other whole numbers. Consequently, a prime number's only factors are 1 and the actual number.

As per the given expression in the question,

2(7ⁿ) - 2(7ⁿ⁻¹) + 7ⁿ⁺¹

Use exponent rule:

[tex]a^b.a^c=a^b^+^c[/tex]

Put the values accordingly,

2(7ⁿ) - 2(7ⁿ⁻¹) + 7ⁿ . 7¹

So,

[tex]\frac{a^b}{a^c}= a^b^-^c[/tex]

⇒ 2(7ⁿ) - 2(7ⁿ/7¹) +  7ⁿ . 7¹

Simplify the above equation,

2(7ⁿ) - 2/7(7ⁿ) + (7)7ⁿ

Take out 7ⁿ as common,

(2 - 2/7 + 7)7ⁿ

Therefore,

61/7(7ⁿ)

Put n = 1 to check for the largest prime number,

61/7(7¹)

= 61

To know more about Prime number:

https://brainly.com/question/4184435

#SPJ1

The standard form of the linear equation can be written as -3x + y = 1

Standard form defines the method of expressing any mathematical concept such as expression, terms, equation or numbers in a systematic form by following a certain rule.

The system of writing an equation that follows particular rules is termed as standard form of equation.

The standard form of a linear equation with two variables x and y can be written as Ax + By = C

where, A and B are coefficient of x and y respectively, C is the constant.

This form of equation is required to solve linear equation.

The above equation is written in the slope intercept form, and we get

By = -Ax+C

y = -A/Bx+C/B

where, -A/B is the slope of equation, C/B is the y intercept

Now we have a linear equation written in the slope intercept form

y-3x-1 = 0

y= 3x+1

3 is the slope, 1 is the y intercept

now, we can write it in a standard form and get,

-3x+y = 1

hence, standard form of equation is -3x + y = 1

To learn more about standard form of equation visit:

https://brainly.com/question/12452575

#SPJ4