Please solve this quickly. Thanks!

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:

[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].

Answer:

Step-by-step explanation:

130 decrease

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:

x > 7

Step-by-step explanation:

x = 28 ÷ 4

x > 7

that's it

Hey there!

4x > 28
DIVIDE 4 to BOTH SIDES

4x/4 > 28/4

SIMPLIFY it

x > 28/4

x > 7

It is an open circle started at 7 & it’s going to the left of the number line

Therefore, your answer should be:

x > 7

Good luck on your assignment & enjoy your day!

~Amphitrite1040:)

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

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 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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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:

28°

Step-by-step explanation:

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

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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[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

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:

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:

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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It is calculated using the quadratic formula

In the equation

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

Substitute the given to the quadratic formula

Let's use Cross-multiplication:

2mi ------------------------>15min

x mi------------------------->45min

So:

2/x = 15/45

Solving for x:

Multiply both sides by x:

x*(2/x) = x* 15/45

2 = 15x/45

Multiply both sides by 45:

45*2 = 45*(15x/45)

90 = 15x

Divide both sides by 15:

90/15 = 15x/15

6 = x

x = 6mi

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

The slope of the line through the points (6,5) and (4, 10) exists -5/2.

A line's slope in mathematics is defined as the ratio of the change in the y coordinate to the change in the x coordinate. Both the net change in the y-coordinate and the net change in the x-coordinate are denoted by Δy and Δx, respectively. where "m" represents a line's slope. So, the slope of a line is tan.

Determine the coordinates of two points along the line that you choose. Find the difference between these two points' y-coordinates (rise). Find the difference between these two points' x-coordinates (run). Divide the difference in x-coordinates (rise/run or slope) by the difference in y-coordinates.

Let the two points are (6, 5) and (4, 10)

(x1, y1) = (6, 5) and (x2, y2) = (4, 10)

The equation of slope of the line through the points (x1, y1) and (x2, y2) = y2 - y1 / x2 - x1

substitute the values in the above equation, and we get

= 10 - 5 / 4 - 6

= 5 / -2

Therefore, the slope of the line through the points (6,5) and (4, 10) exists -5/2.

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

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

Answer:

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

Step-by-step explanation:

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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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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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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