Question is in the image. I need help with #19

The expression that represents the perimeter of the figure is  6x - 2

The figure above is a rectangle. A rectangle is a quadrilateral that has opposite sides equal to each other. Opposite sides are also parallel to each other.

Therefore, the perimeter of a rectangle is the sum of the sides of the rectangle.

Hence,

perimeter of the rectangle = 2(l + w)

where

Therefore,

l = 2x - 3

w = x + 2

Hence,

perimeter of the rectangle = 2(2x - 3 + x + 2)

perimeter of the rectangle = 2(2x + x - 3 + 2)

perimeter of the rectangle = 2(3x - 1)

Therefore,

perimeter of the rectangle = 6x - 2

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the difference in mean life expectancies for the two groups is within 1 year of the true difference is 1729

Health issues can arise from substances other than chemicals like bleach. The way you clean your house and the environment in which you live both matters. Scientists caution that performing these tasks could have a detrimental effect on your health.

A Z-score is a metric that quantifies how closely a value relates to the mean of a set of values. Standard deviations from the mean are used to measure Z-score.

Given data:

σ₁ = σ₂ = 15

n₁ = n₂ = n

Margin of error = 1

Confidence level = 95% = α = 1 - 0.95 = 0.05

z score of α / 2 = 0.05 / 2 = 1.96 , n₁ = n₂ = ?

For the difference of mean test, the margin of error will be:

E = z score  α / 2 [tex]\sqrt \frac{(SD1)^{2} }{n1}+\sqrt \frac{(SD2)^{2} }{n2}[/tex]

[tex]1 = 1.96 \sqrt\frac{(15)^{2} }{n} + \sqrt \frac{(15)^{2} }{n}[/tex]   [∵ n₁ = n₂ = n]

[tex]1 = 1.96 * 15 \sqrt \frac{2}{n}[/tex]

1 = 41.58 / √n

√n = 41.58 / 1 = 41.58

On squaring both sides:

n = 1728.90 ≈ 1729

∴ n₁ = n₂ = 1729

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The simplified form of the expression ( 9 × 10⁴ ) × ( 6 × 10⁻⁷ ) in scientific notation form is 5.4 × 10⁻²

The scientific notation form is simply a method of presenting larger or  smaller numbers in a more simple way.

Given the data in the question;

( 9 × 10⁴ ) × ( 6 × 10⁻⁷ )

First, multiply 9 and 6

( 9 × 10⁴ ) × ( 6 × 10⁻⁷ )

9 × 6 ( 10⁴ × 10⁻⁷ )

54( 10⁴ × 10⁻⁷ )

Next, multiply 10⁴ × 10⁻⁷  by adding the exponents.

Using power rule mᵃ × mᵇ = mᵃ ⁺ ᵇ

54( 10⁴ × 10⁻⁷ )

54( 10⁴ ⁺ ⁻⁷ )

54( 10⁴ ⁻⁷ )

Subtract 7 from 4

54 × 10⁻³

Move the decimal point in 54 to the left by place and increase the power of 10⁻³ by 1

5.4 × 10⁻³ ⁺ ¹

5.4 × 10⁻²

Therefore, the simplified form is 5.4 × 10⁻².

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A null hypothesis is directly opposed by an alternative hypothesis. As a result, if either one of the two theories is accurate, the other is untrue.

In statistical hypothesis testing, null and alternate hypotheses are utilized. The null hypothesis of a test always predicts no effect or no association between variables, but the alternative hypothesis reflects the effect or relationship that your research predicts.

A null hypothesis is directly opposed by an alternative hypothesis. As a result, if either one of the two theories is accurate, the other is untrue.

Based on the study question or issue that they are attempting to solve, the analyst or researcher develops a null hypothesis. The null may be distinguished in many ways depending on the question.

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f is 7. The process of composing small units into larger units that solve larger problems is known as composition.

Therefore,

f = 2 (-2)² - 1 : f = 7

Steps

f = 2 (-2)² - 1

2 (-2)² =2³

f = 2³-1

2³ = 8

f = 8-1

Subtract the numbers:

8 - 1 = 7

f = 7

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The expression that represents the output value when the input is n is -4 - 2n

From the question, the input parameters are given as

Input 1,2,3,4,n

Similarly, the output parameters are given as

output: -6,-8,-10,-12

So, we have the following table of values

1,2,3,4,n

-6,-8,-10,-12

From the above table of values, we have the following parameters

The output value for the input n is then calculated as

Tn = a + (n - 1) * d

So, we have

Tn = -6 + (n - 1) * -2

Open brackets

Tn = -6 - 2n + 2

Evaluate the like terms

Tn = -4 - 2n

Hence, the output value for the input n is -4 - 2n

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Answer:

W=x/7+ 8z/7 + 4/7

Step-by-step explanation:

A reciprocal parent function represents a simple rational function, that is, a function that has the variable x as the denominator.

If 830 grams = 1 day.

23.24 kilograms = 4 weeks.

23.24 kilograms were used by Sebastian in those 4 weeks.

An equation is a mathematical statement that is made up of two expressions connected by an equal sign.

Example: 3x = 4 is an equation.

We have,

830 grams is used each day.

830 grams = 1 day ___(1)

1 week = 7 days

Multiply 4 on both sides.

4 weeks = 28 days ___(2)

From (1) and (2) we get,

4 weeks = 28 days

4 weeks = 28 x 1 day

4 weeks = 28 x 830 grams

4 weeks = 23240 grams ____(3)

1000 grams = 1 kg

Multiply both sides by 23240/1000.

23240 grams = 23.24 kilograms _____(4)

From (3) and 94) we get,

4 weeks = 23.24 kilograms

Thus,

23.24 kilograms were used by Sebastian in those 4 weeks.

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The graphs of the equations are in the attached graph

'

Equation (2)

From the question, the equation is given as

x = -3

In the above equation, we can see that

The equation has only one variable and the highest power of the variable is 1

Since the variable is x, then it means that the line of the graph is a vertical line that passes through point x = -3

See attachment for the graph

Equation (3)

Here, we have

y = -1

Also in this equation, we can see that

The equation has only one variable and the highest power of the variable is 1

Since the variable is y, then it means that the line of the graph is a horizontal line that passes through point y = -1

See attachment for the graph

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Answer:

To stay within budget, she must use 3.9 gigabytes.

Caroline can use approximately 3.9 gigabytes of data while staying within her budget of $74 per month.

Let's assume the number of gigabytes of data Caroline can use while staying within her budget is represented by the variable "x."

The flat cost per month is $54.50, and Caroline pays an additional $5 per gigabyte.

If she wants to keep her bill at $74 per month, the equation can be set up as follows:

54.50 + 5x = 74

To solve for "x," we can isolate the variable on one side of the equation. First, subtract 54.50 from both sides:

5x = 74 - 54.50

5x = 19.50

Finally, divide both sides by 5:

x = 19.50 / 5

Simplifying the division gives us:

x = 3.9

Therefore, Caroline can use approximately 3.9 gigabytes of data while staying within her budget of $74 per month.

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It is calculated using the quadratic formula

In the equation

a = 1, b = -5 and c = 1

Substitute the given to the quadratic formula

Answer:

28°

Step-by-step explanation:

AB and CD are straight lines, all angles in a straight line add up to 180

hello

to solve for k, we'll do it in a stepwise manner

step 1

collect like terms

step 2 above was to take LCM

step 3

cross multiply both sides and solve for k

Answer:

40,60,80

Step-by-step explanation:

let 2x 3x and 4x

9x=180

x=20

2x=40

3x=60

4x= 80

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Answer:

(0, 4/3)

Step-by-step explanation:

2x +3y =4

3y =4 -2x

y = 4/3 - 2/3x

y = -2/3x + 4/3

y = -2/3(0) + 4/3

y = 4/3

-----------

or just plug in 0 for x from the start

2(0) + 3y = 4

3y = 4

y = 4/3

Answer:

  53

Step-by-step explanation:

You want the value of a^2 +b^2, given that 'a' and 'b' are roots of the polynomial x^2 +7x -2.

If the roots are 'a' and 'b', then the factored form is ...

  (x -a)(x -b) = x^2 -(a+b)x +ab

Comparing this to the given polynomial, we see that ...

  -(a+b) = 7

  ab = -2

The expression a^2 +b^2 can be written as the sum ...

  a^2 +b^2 = a^2 +2ab +b^2 -2ab = (a+b)^2 -2ab

Using the values of (a+b) and ab from above, we see that ...

  a^2 +b^2 = (-7)^2 -2(-2) = 49 +4 = 53

The given expression has a value of 53.

Answer:

[tex]$\frac{53}{56}[/tex]

Step-by-step explanation:

Hello!

Let's first convert the denominator of each fraction to the same number. Multiply the denominator by the whole number formed by the other number's denominator.

Now we can add the numerators of the fractions and keep the denominators the same.

The simplified form is [tex]$\frac{53}{56}[/tex].

[tex]23 + 2 < y \\ y > 25[/tex]

ATTACHED IS THE SOLUTION Mind you I swap the positions of the term so that y can be on the left hand side.

Goodluck!!

Answer:

25 < y

Step-by-step explanation:

23 + 2 < y

25 < y

that's as much as it goes

DCM, this is the solution:

According to the midpoint theorem, the line connecting the midpoints of two sides is parallel to the third and its length is half of the third side.

Therefore,

KJ = 2 * GH

KJ = 2 * 30

KJ = 60 and FJ = 30

JL = 2 * FG

JL = 2 * 37

JL = 74

The lower and upper bounds are 16.7 and 69.5 respectively.

So, the numbers are 30, 32, 37, 54, 67, 38, and 44.

In order to determine the lower bound and upper bound

Mean x' =Σ[tex]\frac{x}{n}[/tex] = 302/7 = 43.1429 = 43.1

Variance [tex]s^{2}[/tex] =Σ[tex]\frac{(x-x')^{2}}{n-1}[/tex] = 1048.86/(7-1) = 174.80952

Standard deviation = √174.80952 = 13.221555 = 13.2

Values that deviate more than two standard deviations from the mean are exceptional.

[tex]x -2s = 43.1 - 2*13.2 = 16.7[/tex] is the lower bound for uncommon values.

The upper bound that is exceptional is equal to

[tex]x + 2s = 43.1 + 2(13.2) = 69.5[/tex]

Therefore, 16.7 and 69.5 are the lower and upper bounds of given data

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Answer:

30 dollars

Step-by-step explanation:

3/8 and 2/5 is 31/40 and 300.00

Answer is 30.775

Answer: 30 dollars

Step-by-step explanation: cant put explanation right now in a rush! make the other person brainliest they deserve it! :)

Answer:

x = -2

y = -3

Step-by-step explanation:

If it is a simultaneous equation.

2x+y = -7-----equation 1

-4x -5y =23-----equation 2

5(2x+y = -7)

-4x -5y =23

10x+5y = -35

-4x -5y =23 +5y cancel -5y

10x= -35

-4x=23

6x = -12

x = -2

Solving for Y

Substitute the value of x in equation one or two.

equation two = -4x -5y =23

-4x -5y =23

-4(-2) -5y =23

8-5y=23

-5y = 23-8

-5y = 15

y = -3

Answer:

answer would be -6 since you are just subtracting -6 to move to the other side

Step-by-step explanation:

Answer:

f(2)=3

f(1)=2

f(-1)=0

f(0)=1

Step-by-step explanation:

f(x)=y

when finding what f(x)=? you would see whats in the () and find that number on the x-axis. Find where the line hits on the x-axis and find the number on the y-axis that correlates with it. The y-axis number is what goes the the ().

when finding whats in the () you find what number it equal to on the y-axis and what is in the () would be the number that the line is on on the x-axis

A computer is rendering two scenes then after 14 minutes of the scenes have the same amounts rendered.

As given in the question,

As per condition:

Computer rendered 540 thousands pixels of a kitchen scene and renders another 90kpx each minute:

The expression for the kitchen is illustrated as 540 + 90t

Computer rendered 960kpx of a garden scene and renders 60kpx more pixels each minute

The expression for the garden is illustrated as 960 + 60t

For the scenes have the same amounts rendered is given by :

540 + 90t = 960 + 60t

Collect like terms

90t - 60t = 960 - 540

⇒30t = 420

⇒t = 420/30

⇒t = 14

Therefore, a computer is rendering two scenes then after 14 minutes of the scenes have the same amounts rendered.

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Hello! First, let's remember:

We can write a point as a cartesian coordinate (x, y).

The exercise has given two points, A(4,3) and B(8,1).

To calculate the slope of a line, we can use the formula below:

Let's consider A equal to the first point (4, 3) = (x1, y1), and B will be the second point (8, 1) = (x2, y2). Replacing these values in the formula:

To find this length, we have to use another formula. Now we will calculate the distance between two points:

Still considering A (4, 3) = (x1, y1), and B (8, 1) = (x2, y2), let's replace the values in the formula:

This value will be the medium point. To calculate it, we'll use another formula:

Still considering the same values for (x1, y1) and (x2, y2), let's replace them:

The midpoint of segment AB will be at point X (6, 2).

You can see this line represented in a cartesian plan below:

Answer:

Step-by-step explanation:

130 decrease