Express the repeating decimal as the ratio of two integers. 0.14 = 0.141414... The ratio of two integers is 1. (Type an integer or a simplified fraction.) Enter your answer in the

The value of the equation x² - x + 3 is 37/9.

We have,

We can start by multiplying both sides of the equation by x:

2x - 3/x = x + 1

2x - 3 = x^2 + x

Rearranging and simplifying, we get:

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

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

-x + 3 = 2x - 3

5 = 3x

x = 5/3

Now we can substitute x into the equation x^2 - x + 3:

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

x^2 - x + 3 = 25/9 - 15/9 + 27/9

x^2 - x + 3 = 37/9

Therefore,

The value of x² - x + 3 is 37/9.

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Answer:

Hello! :) have a good day!

(10x+6)4 = 40x +24

Answer:

the slope is mx+b so 3

Step-by-step explanation:

mx+b

Answer:

To simplify this expression, we can combine the like terms. The terms with just a variable q are 1q or q, and 10q or 10q. The terms without a variable are 2 and 4.

So,

a + 10 + 4q + 10q + 4q

Can be simplified as:

(a + 10) + (4q + 10q + 4q)

= a + 10 + 18q

Therefore, the equivalent expression is a + 18q + 10.

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Answer:

15q

Step-by-step explanation:

Just add all the terms containing q :

q + 10q + 4q

11q + 4q

15q

This method is called combining like terms.

Answer:

x = 3 + y

Step-by-step explanation:

4x - 2y = 6

~Add 2y to both sides

2x = 6 + 2y

~Divide 2 to everything

x = 3 + y

Best of Luck!

A) To fence the squere, we have to calculate the perimeter of the figure so first we have to calculate the side of the square, so we can use the trigonometric identity of sin so:

and we solve for x so:

Now the perimeter will be:

Now the cost will be the perimeter times the cost per foot so:

B) The are of the pasture will be the addition of the area of the squate plus the area of the triangle so:

9514 1404 393

Answer:

  a) y +2 = (4/3)(x -3)

  b) 4x -3y = 18

Step-by-step explanation:

a) The slope formula gives part of what is needed for point-slope form:

  m = (y2 -y1)/(x2 -x1)

  m = (2 -(-2))/(6 -3) = 4/3

Point-slope form is ...

  y -k = m(x -h) . . . . . . for slope m and point (h, k)

Using the first point, we get ...

  y +2 = 4/3(x -3)

__

b) Multiplying by 3 and eliminating parentheses, we get ...

  3(y +2) = 4(x -3)

  3y +6 = 4x -12

Adding 12 -3y to both sides gives ...

  18 = 4x -3y

Putting this in the usual form, we have ...

  4x -3y = 18

Therefore, in about 15 years and 2 months, the senior class will have about 100 students.

An equation is a statement that expresses the equality of two mathematical expressions using mathematical symbols such as variables, numbers, and mathematical operations. The equality is represented by an equal sign "=" between the two expressions. Equations are used to represent mathematical relationships and solve problems in various fields such as physics, chemistry, engineering, and economics.

Given by the question.

Let P be the initial population of the senior class in the high school, and r be the rate of decrease in population per year (in decimal form).

Then, we can write the following equation to represent the situation:

P\((1-r)^{n}\) = 100

We know that the current population of the senior class is 320, so we can substitute these values into the equation:

320\((1-0.07)^{n}\) = 100

Simplifying the equation, we get:

\(0.93^{n}\) = 0.3125

Taking the natural logarithm of both sides, we get:

n ln (0.93) = ln (0.3125)

Dividing both sides by ln (0.93), we get:

n = ln (0.3125) / ln (0.93)

Using a calculator, we find that n is approximately equal to 15.21 years.

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Answer:

<5 and <7= 56 degrees

Step-by-step explanation:

for <5: 180-124=56

<7 is equal to <5

Brainliest Plz?

Answer:

  50

Step-by-step explanation:

You want the value of x in the attached diagram.

If the upper interior segment is extended to the lower horizontal line, the angle it makes inside the triangle is an "alternate interior angle" with respect to the one marked 20°. Hence it is congruent.

With respect to angle x°, now the angles 20° (just made, above) and 30° are "remote interior angles." Hence, their sum is the value of the exterior angle x°:

  x° = 20° +30°

  x° = 50°

  x = 50

The value of x is 50.

Answer:

The equation that represents the distance left to hike is: \(y = 1600 - 200*x\)

The time it'll take to hike 1600 ft is: x = 8 h

Step-by-step explanation:

Since Joan hikes 600 ft every 3 hours, then her average speed is given by:

\(v_{avg} = \frac{600}{3} = 200\text{ }\frac{\text{ft}}{\text{h}}\)

Since she wants to cover 1600 feet, then the equation that represents the distance left to hike is:

\(y = 1600 - 200*x\)

The time it'll take to hike 1,600 feet is the time it'll take for y = 0, because at that point the distance left to hike is equal to zero.

\(0 = 1600 - 200*x\\200*x = 1600\\x = \frac{1600}{200} = 8 \text{ h}\)

Answer:

y=200x. it will take joan 8 hours to hike 1600 ft.

Step-by-step explanation: Hope This Helps :)

Answer:

NOPE ... the answer is the first one...

the 3/5 ths is in the denominator, thus it needs a negative sign

just remember that

\(x^{1/2} =\sqrt{x} \\x^{1/n} = \sqrt[n]{x} \\x^{-2} = \frac{1}{x^{2} }\)

Step-by-step explanation:

By using substitution method, the equation is 10y²+56y-38.7=0

An equation in French is defined as having one or more variables, whereas an equation in English is any well-formed formula consisting of two expressions combined with an equals sign.

Solving a variable equation includes determining which variables' values result in equality. Unknowns are the variables for which the equation must be solved, while equation solutions are the unknown values that satisfy the equality. An equation is a mathematical phrase with two equal sides separated by an equal sign. An equation is 4 + 6 = 10. We can see 4 + 6 on the left side of the equal sign and 10 on the right.

Given equations are:

2x+4y= -8.6

9x-5y=28

By using substitution method,

2x+4y= -8.6

⇒x+2y= -4.3

x= (-4.3/2y)

Substituting x value in the second equation, we get

9(-4.3/2y)-5y=28

-38.7-10y²=56y

10y²+56y-38.7=0

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Given

Which of the following is NOT equivalent to the formula d=rt?

Procedure

A. d/r=t is equivalent d=rt

B. r=dt is not equivalent

C. d/t=r is equivalent d=rt

D. d/rt=1 is equivalent d=rt

The answer is option B. r=dt that is NOT equivalent to the formula d=rt

The probability that the squad will have exactly three women members is 0.389

Total number of people in CU Boulder triathlon = 21

Number of Men = 9

Number of Women = 12

We are told that a 5-member squad is selected and now we want to find the probability that the squad will have exactly 3 women members.

Thus;

P(exactly 3 womens) = (12C3 * 9C2)/(21C5)

P(exactly 3 womens) =7920/1716

P(exactly 3 womens) = 0.389

Hence, the probability that the squad will have exactly three women members is 0.389

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To determine the convergence or divergence of a series, we need to analyze the behavior of its terms. In this case, the series consists of a sequence of numbers: 12, 34, 18, 316, 132, 364, and so on.

Looking at the terms of the series, we can observe that there is no clear pattern or trend in their values. The terms do not approach a specific value as we go further into the series. Instead, the terms seem to be randomly increasing and decreasing.

A convergent series is one where the terms approach a specific value as the number of terms increases, while a divergent series is one where the terms do not approach a specific value.

Since the terms in the given series do not exhibit any clear pattern or convergence, and there is no specific value that the terms are approaching, we can conclude that the series is divergent.

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Answer: answer is 12

Step-by-step explanation:

Step-by-step explanation:

the correct answer is A

15 x 35

Answer:

A

Step-by-step explanation:

let width be w , then length l = w + 20

perimeter = 2w + 2l

                 = 2w + 2(w + 20) , so

2w + 2w + 40 = 100

4w + 40 = 100 ( subtract 40 from both sides )

4w = 60 ( divide both sides by 4 )

w = 15 and l = 15 + 20 = 35

Dimensions are 15 ft by 35 ft → A

Answer:

  (x, y) = (-2, -7)

Step-by-step explanation:

You want to use "substitution" to solve the system of equations ...

In math, as elsewhere in life, one thing can be substituted for another when the two are completely equivalent. In math, an equivalent is easily found: the equal sign tells you what it is.

The first equation ...

  y = 6x +5

tells you that the expressions "y" and "6x+5" are completely equivalent. This is handy. When we want to eliminate y from an equation, we can use "6x+5" instead of "y".

Making this substitution in the second equation gives ...

  2x +(6x+5) = -11 . . . . . . the variable y is gone. In its place is (6x+5).

  8x = -16 . . . . . . . . . . subtract 5 and simplify

 x = -2 . . . . . . . . . . divide by 8

Now, we can find y by using the expression that tell us how it relates to x:

  y = 6x +5 = 6(-2) +5 = -12 +5 . . . . . substitute -2 for x

  y = -7

The solution to the equation is (x, y) = (-2, -7).

__

Additional comment

"Substitution" as a method for solving equations works best if you already have an expression for one variable in terms of the other(s).

Sometimes, you have to solve for the variable you want an expression for. If we were to use the first equation to write an expression for x, we would have to solve for it:

  y = 6x +5

  y -5 = 6x

  (y -5)/6 = x

Using this to substitute for x will give the same answer, possibly requiring a little more work to deal with the fractions. That is why we prefer to look for variables that have coefficients of 1 or -1, or that are already alone on one side of the equal sign.

<95141404393>

The reason \(26^{23\) x \(26^{15\)  can be written as  \(26^{38\) because both have same base and power get added.

Exponents and powers can be used to represent extremely big or extremely small numbers in a more straightforward fashion.

For example, if we have to show 3 x 3 x 3 x 3 in a simple way, then we can write it as \(3^4\), where 4 is the exponent and 3 is the base.

Given:

We have \(26^{23\) x \(26^{15\)

Now, using the property of exponents and power if the base of number same and in relation of multiplication then the power get added.

So,  \(26^{23\) x \(26^{15\)

= \(26^{23 + 15\)

and, 23+ 15 = 38

= \(26^{38\)

So, the exponent can written with power of 38 as the power gets added.

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Answer:

f'(0)= -2/5

Step-by-step explanation:

According to the given information, the sample period should be from 2010-2020.

a) Model specification

The model specification based on the scenario above is as follows:

SDF= f(T, TI, NL)

Where: SDF= Sustainable Development Framework

T= Tourism

TI= Technological innovation

NL= National leadership

b) Justification for the selection of the dependent and independent variables model:

Dependent variable: The dependent variable in this model is Sustainable Development Framework (SDF). The model seeks to develop a framework for sustainable development that would facilitate growth, environmental and socio-cultural sustainability.

Independent variables:

The independent variables are tourism sustainability, technological innovation, and quality of leadership. These variables drive economic development. The inclusion of tourism sustainability reflects its importance in the global economy and its potential to drive growth.

The inclusion of technological innovation reflects its potential to enhance productivity and create new industries. The inclusion of national leadership reflects the role of governance in promoting sustainable development and managing negative externalities.

c) Justification for the selection of the sample period:

The sample period should be selected based on the availability of data for the variables of interest. Ideally, the period should be long enough to capture trends and patterns in the data. However, it should not be too long that the data becomes obsolete or no longer relevant.

Additionally, the period should also reflect the context and relevance of the research question. Therefore, the sample period for this study should cover the last decade to capture the trends and patterns in the data and reflect the relevance of the research question.

The sample period should be from 2010-2020.

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Answer:

b

Step-by-step explanation:

Irrational numbers don't include integers OR fractions. However, irrational numbers can have a decimal value that continues forever WITHOUT a pattern, unlike the example above.

Answer:

b

Step-by-step explanation:

Answer:

91

Step-by-step explanation:

the common diference is : d = ( 13)-(7)=(7)-(1)=(1)-(-5)=6

the first term is A1 = -5

the n-ieme term is : An = A1 +(n-1)d

An = -5+6(n-1)

An = 6n-11

the 17th term in the arithmetic sequence  is : A17 = 6(17)-11 =91

Answer:

c

Step-by-step explanation:

-5,1,7,13,19,25,31,37,43,49,55,61,67,73,79,85,91

For her to have 5 green beads, 6 red beads, and 7 white beads in each bracelet, she will make 151 bracelets.

From the given question total numbers of beads of different colors are:

Green beads = 1,012

Red beads = 998

White beads = 1,057

Each bracelet should have number of beads

Green beads = 5

Red beads = 6

White beads = 7

Number of bracelets made with green beads = Total number of green beads/ one bracelet have green bead

Number of bracelets made with green beads = 1,012/ 5

Number of bracelets made with green beads = 202.4 bracelets

Number of bracelets made with red beads = Total number of red beads/ one bracelet have red bead

Number of bracelets made with red beads = 998 / 6

Number of bracelets made with red beads = 166.3 bracelets

Number of bracelets made with white beads = Total number of white beads/ one bracelet have white bead

Number of bracelets made with white beads = 1,057 / 7

Number of bracelets made with white beads = 151 bracelets

For her to have 5 green beads, 6 red beads, and 7 white beads in each bracelet, she will make 151 bracelets.

This is because, if the number of bracelets she makes is more than 151, then she won't have white beads use for it.

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Answer:

D

Step-by-step explanation:

Answer:

Its D

Step-by-step explanation:

I was to lazy to provide an explanation

100 is the answerrrrrrrrrrrrrrrrrrr