A politician's support increases from 34% to 55% Determine the absolute and relative change in
this sitation.

The quadratic equation 3 / x - [x / x + 6] = 18 / (x² + 6) have roots at 0 and 3

Quadratics can be defined as a polynomial equation of a second degree, which implies that it comprises a minimum of one term that is squared. It is also called quadratic equations. The general form of the quadratic equation is given as ax² + bx + c = 0

In the given equation, we are to solve for the value of x

3 / x - [x / x + 6] = 18 / (x² + 6)

On the left hand side of the equation, we can find the LCM and simplify

3(x + 6) - x² = 18

3x + 18 - x² = 18

x = 3 or x = 0

The solutions to the equation are 0 and 3

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The value of x and y is x = -5 and y = 2

x - y = -7

What is an equation ?

An equation is a mathematical statement that proves two mathematical expressions are equal in algebra, and this is how it is most commonly used. In the equation 3x + 5 = 14, for instance, the two expressions 3x + 5 and 14 are separated by the symbol "equal."

The three main types of linear equations are the slope-intercept form, standard form, and point-slope form.

Solving the equation

4x + 4y = -12 ⇒(1)

3x - 4y = -23 ⇒(2)

eq (1)*3 eq (2)*4

12x + 12y = -36  ⇒ (3)

12x - 16y = -92  ⇒ (4)

Solving eq (3) and eq (4)

    28 y = 56

       y = 2

substituting the value of y in eq (1)

4x + 4(2) = -12

4x + 8 = -12

4x = -12 - 8

4x = -20

 x = -5

x - y = -5 -2

       = -7

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The critical values and shecht the rejection reglues for a theo-tall tent, in a Z procedure with significance level isterse is (-1.812,1.812).

[tex]$\alpha=0.07$[/tex] This is two tailed lest

critical values are [tex]$\pm 1.812$[/tex]

What is critical values ?

A critical value is a value used as a cut-off to indicate the beginning of a zone where the test statistic from a hypothesis test is unlikely to decrease. In hypothesis testing, the crucial value and the resulting test statistic are compared to decide whether or not the null hypothesis has to be rejected.

For hypothesis testing, the crucial value graphically separates the graph into the acceptance region and the rejection zone. A test statistic's statistical significance should be verified. We will learn more about the critical value in this article, including its types, formula, and calculation method.

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The value of A is -28 according to arithmetic

What is BODMAS?

BODMAS is associate descriptor and it stands for Bracket, Order, Division, Multiplication, Addition, and Subtraction. In sure regions, PEMDAS (Parentheses, Exponents, Multiplication, Division, Addition, and Subtraction) is employed, that is that the word of BODMAS.

Main body:

According to question:

2-[(8×2)+(8×2)]+2=A ​

to find:    value of A

firstly we need to remove brackets according to rule

⇒2-[(8×2)+(8×2)]+2

⇒2-[16+16]+2

⇒2- 32 +2

⇒-28

hence value of A is -28

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[tex]~~~~~~ \textit{Compound Interest Earned Amount} \\\\ A=P\left(1+\frac{r}{n}\right)^{nt} \quad \begin{cases} A=\textit{accumulated amount}\dotfill & \stackrel{doubled}{\$9000}\\ P=\textit{original amount deposited}\dotfill &\$4500\\ r=rate\to 7.25\%\to \frac{7.25}{100}\dotfill &0.0725\\ n= \begin{array}{llll} \textit{times it compounds per year}\\ \textit{quarterly, thus four} \end{array}\dotfill &4\\ t=years \end{cases}[/tex]

[tex]9000=4500\left(1+\frac{0.0725}{4}\right)^{4\cdot t} \implies \cfrac{9000}{4500}=\left(1+\frac{0.0725}{4}\right)^{4\cdot t} \\\\\\ 2=1.018125^{4t}\implies \log(2)=\log(1.018125^{4t})\implies \log(2)=t\log(1.018125^{4}) \\\\\\ \cfrac{\log(2)}{\log(1.018125^{4})}=t\implies 9.65\approx t\qquad \textit{about 9 years and 8 months}[/tex]

Justyne is frequently moved around the company to wherever she is needed as it is likely that she has high generalised self-efficacy.

Justyne is valued by her organization as a high-utility employee who can answer the phones, greet customers, handle billing questions, operate the manufacturing equipment, and be a quality checker. This proves her capacity that she can act in the ways necessary to reach specific goals that she is meant to achieve.

As she is competent in so many areas, she is frequently moved around the company wherever needed.

Hence, it is likely that Justyne has high generalized self-efficacy.

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He spend 0.48 per pounds

What is division ?

Division in mathematics is the process of dividing an amount into equal parts. For instance, we may split a group of 20 people into four groups of 5, five groups of 4, and so on.

One of the four fundamental arithmetic operations, or how numbers are combined to create new numbers, is division. The other operations are multiplication, addition, and subtraction.

A group is divided into equal portions. Division can be used to divide a class into equal groups for a game or activity, or even to divide a pizza among a group of friends in equal quantities. Partitive division and quotative division are the two types of division.

As it is $5.76 for 12 pounds

∴ for one pound

5.76 / 12

= 0.48 pounds

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Options F and A=[tex]y=\frac{1}{2}^{x}[/tex] match the fourth graph (exponential decay.)

Options G and B=[tex]y=\log_{10}x[/tex] match the second graph (logarithmic growth).

Options E and C=[tex]y=e^{x}[/tex] match the first graph (exponential growth).

Options H and D=[tex]y=\log_{0.5}x[/tex] matches the third graph (logarithmic decay).

What are growth curves?

An illustration of changes in similar circumstances is referred to as a growth curve. It exemplifies how things vary through time, including population, consumer preferences, demand or supply, etc.

What are decay curves?

The decay curve, basically, is a way to depict the rate or specifically exponential rate at which disintegration occurs in a radioactive sample

If we equate the curves and the graphs, we see that both options A and F merge up to the exponential decay model.

Similarly, both options B and G merge up to the logarithmic growth graph model.

Options C and E merge up to the exponential growth model.

Options D and H merge up to the logarithmic decay model.

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Using the concept of ratio, the percentage Emily saved is 40%

Percentage can be defined as a ratio or a number which can be expressed as a fraction of 100. When we need  to calculate percent of a number, divide the number by the whole and multiply by 100. The percentage in this can be said to be a part per hundred.

Data;

The percentage saved = (amount saved / total amount earned) * 100

Substituting the values into the equation above;

The percentage saved = (18 / 45) * 100

The percentage saved = 0.4 * 100

The percentage saved = 40%

The percentage saved is 40%

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Answer:

No

Step-by-step explanation:

1 = 2(-5) - 9

1 = -10 - 9

1 ≠ -19, therefore that point does not lie on the line

Answer:

pls mark as brainliest

Step-by-step explanation:

If A = {3, 5, 7, 8, 9, 10} and B= {1,4,7,9,11,12}

a) ANB= { 7 , 9 }

b.)AUB= { 1 , 3 , 4 , 5 , 7 , 8 , 9 , 10 , 11 , 12 }

A resemblance While retaining shape, metamorphosis can alter both location and size.

When the sides of two figures are proportionate and the accompanying angles are congruent, the figures are said to be comparable.

Get the two triangles to face in the same direction, or in the same orientation, to check if they resemble one another. You accomplish this by turning one shape so that it is in alignment with the other. A rotation is the name given to such a change.

Similarity refers to two figures that share the same shape but differ in size. A rigid motion and a rescaling make up a similarity transformation. To put it another way, a similarity transformation may change both location and size while maintaining shape.

Let the given points be G(-2, 3), H(4, 3), I(4, 0) and J(1, 0), K(6.-2), L(1, -2).

A resemblance While retaining shape, metamorphosis can alter both location and size.

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Answer:

  not similar

Step-by-step explanation:

You want to know if ∆GHI ~ ∆JKL when they are defined by coordinates G(-2, 3), H(4, 3), I(4, 0) and J(1, 0), K(6.-2), L(1, -2).

Corresponding angles of similar triangles are congruent, and corresponding sides are proportional.

Here, angle G is an acute angle less than 45°, while corresponding angle J is an acute angle greater than 45°. These corresponding angles in the similarity statement are not congruent, so the similarity statement is false.

__

Additional comment

Side ratios in ∆GHI are 3 : 6 : 3√5 = 1 : 2 : √5.

Side ratios in ∆JKL are 2 : 5 : √29.

For comparison purposes, we like to list them shortest to longest.

These ratios are different, so even if the order of the vertices were straightened out, the triangles still would not be similar. If the triangles had the same side length ratios, the vertex order for a proper similarity statement would be ∆GHI ~ ∆KLJ.

The percentage of companies with revenue between 73 million and 87 million dollars is; 0.30

The formula for z-score is;

z = (x' - μ)/σ

where;

x' is sample mean

μ is population mean

σ is standard deviation

We are given;

Population mean; μ = 80 million

Population standard deviation; σ = 18 million

The percentage of companies with revenue between 73 million and 87 million dollars is expressed as;

P(73 < X < 87)

z₁ = (73 - 80)/18

z₁  = -0.389

z₂ = (87 - 80)/18

z₂ = 0.389

Using probability between two z-scores, we have;

P(-0.389 < Z < 0.389) ≈ 0.30

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Answer:

2x³ + 3x² - x + 10

Step-by-step explanation:

2x³ - 2x² + 4x + 5x² - 5x + 10

2x³ + 3x² - x + 10

Answer:

Below

Step-by-step explanation:

These are both equations of lines.....one has slope =6 and the other has slope = 4   so they will cross at ONE point

There are 8 bags of basmati rice are there if a crate contains bags of basmati rice Which weigh 5 lb each and bags of jasmine rice.

It is defined as the relation between two variables, if we plot the graph of the linear equation we will get a straight line.

If in the linear equation, one variable is present, then the equation is known as the linear equation in one variable.

It is given that:

a crate contains bags of basmati rice Which weigh 5 lb each and bags of jasmine rice which weigh 3 pounds each.

The equation can be framed:

x + y = 20

5x + 3y = 76

After solving

By substitution method:

we get:

y = 12

x = 20 - 12 = 8

Thus, there are 8 bags of basmati rice are there if a crate contains bags of basmati rice Which weigh 5 lb each, and bags of jasmine rice.

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The solution to the first and the second equation are 28.648 and 183.5 respectively.

A radical expression is an expression consisting of a square root or nth root.

(1) The given equation is [tex]-5\sqrt[4]{x-1}=12[/tex].

Solve the equation as follows:

[tex]-5\sqrt[4]{x-1}=12\\\\\sqrt[4]{x-1}= -\frac{12}{5}\\\\(x-1) = (-\frac{12}{5})^4\\x-1 = 27.648\\x = 28.648[/tex]

(2) The given equation is [tex]-2\sqrt[6]{4x-5}+9 =3[/tex].

Solve the equation as follows:

[tex]-2\sqrt[6]{4x-5}+9 =3\\ \\2\sqrt[6]{4x-5}= 9-3\\\\\sqrt[6]{4x-5}=3\\\\4x-5=3^6\\\\4x=729+5\\\\x=734/4\\\\x=183.5[/tex]

The third equation is the same as the first equation.

Hence, the solution to the first and the second equation are 28.648 and 183.5 respectively.

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Answer:

The probability of guessing this password is 1 in 62^7, or approximately 1 in 5.4 trillion.

Step-by-step explanation:

Based on the information you provided, your friend's password is a randomly generated 7-character password that contains both upper- and lower-case letters and numbers. This means that the password could be any combination of the 62 possible characters (26 upper-case letters, 26 lower-case letters, and 10 digits).The probability of guessing this password is 1 in 62^7, or approximately 1 in 5.4 trillion. This means that, in theory, it would take someone a very long time to guess your friend's password by randomly trying different combinations of characters.However, it's important to note that there are other factors that can affect the security of a password, such as whether the password is easy to guess or has been used before by the user or someone else. It's generally recommended to use a long, complex password that is unique and not easily guessable to maximize security.

Answer:  1/(3,521,614,606,208)

Explanation:

There are 26 letters in the English alphabet. This doubles to 52 when considering upper and lowercase letters. Then add on 10 more because of the digits 0 through 9.

In total, there are 2*26+10 = 52+10 = 62 different characters to pick from for any given slot of the 7-character password.

Assuming repeated characters are allowed, this then gives us

62^7 = 3,521,614,606,208

different passwords possible. This massive number is a little over 3.5 trillion. In scientific notation, it is approximately equal to 3.522 * 10^12

The probability of randomly guessing the correct password is 1 over that massive number, since there's only one way to get the correct password. We get the fraction 1/(3,521,614,606,208)

We can say the odds of guessing the correct password are roughly 1 in 3.5 trillion.

Answer:

Step-by-step explanation:

Part A:

For number 1, the bus drives non-linear. It is not a constant rate but it is increasing.

For number 2, the bus is at a stopping point.

For number 3, the bus drives in a non-linear rate but it still increasing.

For number 4, the bus is at its last stop, the middle of the bus ride, the peak of the time.

For number 5, the bus comes to a non-linear decrease in the route. and eventually the end.  

Part B:  

The bus is increasing in numbers 1 and 3, and decreasing for number 5, and at a constant at numbers 2 and 4.  

Part C:  

The graph is non-linear, as the slope is not at a constant.

Answer:

Sorry i don't know. But i think this is a good priblem

Services provided by public service companies are also known as utilities.

What are public utilities, housing expenses, cost of living and bills?

The term "public utilities" describes a group of particular services offered by entities and organisations that are both public and private and make up the public services sector.

The sum of a homeowner's monthly mortgage principal and interest payments and any additional costs related to their home constitutes their total housing expense.

The cost of living is the sum of money required in a certain location and time frame to meet necessities including housing, food, taxes, and medical care.

A declaration of money owed for products or services provided is referred to as a bill.

Based on the above definition,

Hence, services provided by public service companies are also known as utilities.

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1. To convert 0.00526 into scientific notation, follow these steps:

Move the decimal 3 times to right in the number so that the resulting number, m = 5.26, is greater than or equal to 1 but less than 10

Since we moved the decimal to the right the exponent n is negative

n = -3

Write in the scientific notation form, m × 10n

= 5.26 × 10-3

Therefore, the decimal number 0.00526 written in scientific notation is 5.26 × 10-3 and it has 3 significant figures.

2. To convert 0.00639 into scientific notation also known as standard form, follow these steps:

Move the decimal 3 times to right in the number so that the resulting number, m = 6.39, is greater than or equal to 1 but less than 10

Since we moved the decimal to the right the exponent n is negative

n = -3

Write in the scientific notation form, m × 10n

= 6.39 × 10-3

Therefore, 0.00639 in scientific notation is 6.39 × 10-3 and It has 3 significant figures. In scientific e-notation it is written as 6.39e-3.

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The equation of the required parabola is  y = [tex]6x^2+6x+ 8[/tex]

What is a parabola?

Parabola is a curve where all the point on the curve maintains a fixed distance from a point called the focus and a line called the directrix.

Let the equation of the parabola be y = [tex]ax^2+bx+c[/tex]

Here, a = 6

So equation of parabola is y = [tex]6x^2+bx+c[/tex]

The parabola passes through (0, 8) and (-1, 8)

Putting x = 0 and y = 8 in the equation

c = 8

y = [tex]6x^2+bx+8[/tex]

Putting x = -1 and y = 8

[tex]8 = 6(-1)^2 + b(-1) + 8\\ b = 6[/tex]

So equation of the parabola is y = [tex]6x^2+6x+ 8[/tex]

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The amount that was invested in each account is:

Maricopa Success invested $47,858 in stocks.

Maricopa Success invested $63,571 in bonds.

Maricopa Success invested $47,571 in CDs.

Let c represent Cds

Let b represent bonds

Let s represent stocks

Equations:

b = c + 15000

s = 160000 - b - c = 160000 - c - 15000 - c = -2c + 145,000

0.08(-2c + 145000) + 0.036(c + 15000) + 0.04c = 7520

-0.16c + 11600 + 0.036c + 540 + 0.04c = 7520

-0.084c = -4,080

Divide both side by -0.084

c = -4,080 / 0.084

c= $48,571 (CDs)

b = 48,571+ 15000

b=$63,571 (bonds)

s = 160,000 - $63,571- 48,571

s= $47,858 (stock)

Therefore Maricopa Success invested $47,858  in stocks,Maricopa Success invested $63,571 in bonds and Maricopa Success invested $47,571 in CDs.

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Answer:

W/O insurance: 235.50

with insurance: 1597.94

Step-by-step explanation:

Weighted Average:

annual premium 1      $1,580.00 $0

single doctor visit 0.3      $7.50        $105

two doctor visits 0.18      $9.00        $126

medication        0.06      $1.44         $5

                             $1,597.94 $235.50

Write each decimal as a fraction or mixed number in simplest form

-0.14

= -14/100

= -7/50

_________________________

0.27

= 27/100

Distance is the measure from one point to another point. Given, any two points distance is [tex]\sqrt{(x1-x2)^{2} }+\sqrt{(y1-y2)^{2} }[/tex].

Midpoint is the mid-value of two points.

Midpoint = [ x₁+x₂/2 , y₁+y₂/2]

So, for the given centre (9, 10) and point on circle(7,4)

Centre = [tex]\sqrt{}[/tex](9-7)²+(10-4)²

= [tex]\sqrt{}[/tex]4+36

= 6.32

For the given centre (2,-6) and point on circle (1,10)

Centre = [tex]\sqrt{}[/tex](2-1)²+(-6-10)²

=[tex]\sqrt{}[/tex]1+256

=16.03

For  given centre (1,-5) and point on circle(-7,-13)

Midpoint = [ 1-7/2 , -5-13/2]

= [-3, -9]

For given centre(-2,0) and point  on circle(-9,-4)

Midpoint = [-2-9/2 , 0-4/2]

= [-5.5,-2]

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Given, center (9,10) and point on circle is (7,4) distance is 6.32. And center (2,-6) and point on circle (1,10) distance is 16.03.

Given center (1, -5) and point of circle(-7,-13) midpoint is (-3,-9). And center (-2,0) and point on circle (-9,-4) midpoint is (-5.5,-2).

Distance is the measure from one point to another point. Given, any two points distance is -

[tex]\sqrt{x_1^2-x_2^2} +\sqrt{y_1^2-y_2^2}[/tex]

Midpoint is the mid-value of two points. Midpoint = [(x₁+x₂)/2, (y₁+y₂)/2]

So, for the given center (9, 10) and point on circle(7,4)

Center = (9-7)²+(10-4)²

= 4+36

= 6.32

For the given center (2,-6) and point on circle (1,10)

Center = (2-1)²+(-6-10)²

= 1+256

= 16.03

For  given center (1,-5) and point on circle(-7,-13)

Midpoint = [ 1-7/2 , -5-13/2]

               = [-3, -9]

For given center (-2,0) and point  on circle(-9,-4)

Midpoint = [-2-9/2,0-4/2]

               = [-5.5,-2]

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The evaluated expression the quantity of 6 less than y, raised to the power of x is - 8. Therefore, the correct option is D.

The quantity of 6 less than y, raised to the power of x can be expressed as follows:

The verbal expression can be converted to a mathematical expression as follows:

(y - 6)ˣ

when

y = 4

x = 3

Therefore,

(y - 6)ˣ = (4 - 6)³

Therefore,

(4 - 6)³ = (-2)³

(-2)³ = -8

Therefore, the evaluated expression is -8.

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An equation of a line with slope(m) = 4/5 and y-intercept(b) = 1 can be formed as y = (4/5)x + 1.

The slope is the rate of change of the y-axis with respect to the x-axis.

The equation of a line in slope-intercept form is y = mx + b, where

slope = m and y-intercept = b.

We know the greater the absolute value of a slope is the more steeper is it's graph or rate of change is large.

An equation of a line in slope-intercept form with slope(m) = 4/5 and

y-intercept(b) = 1 can be formed as y = (4/5)x + 1.

The graph of this line is attached below.

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