PLEASE ANSWERRRRRRRRRRRR

Based on the information provided, the numbers that are closest to -3/5 are -4/5 and -0.2 and the numbers that are closest to 4/5 are 2/5 and 0.6.

To understand this, we will simplify the fractions given by dividing the numbers:

-3/5 = -0.6

4/5 = 0.8

Now, let's evaluate if each number is closest to -3/5 or to 4/5. For this, we will simplify the numbers when it is possible.

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Answer:

no solutions

Step-by-step explanation:

the equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

equation of blue line is y = x + 2 , in slope- intercept form

with slope m = 1

equation of red line is y = x - 3 , in slope- intercept form

with slope m = 1

• Parallel lines have equal slopes

then the blue and red lines are parallel.

the solution to the system is at the point of intersection of the 2 lines

since the lines are parallel then they do not intersect each other.

thus the system shown has no solution.

Answer:

slope is 3

If you need the formula lmk

Answer: 3

Step-by-step explanation:

calculate the slope by subtracting the y coordinates, subtracting the corresponding x coordinates, then dividing y by x.

(10-1)/(3-0)=9/3=3

Answer:

$3.51

Step-by-step explanation:

1 pound is $2.39 so divide by 2 and round up to the nearest whole number which is $1.12. Add $1.12(The cost of 0.5 pounds) to $2.39(The cost of 1 pound) to get $3.51 as your total.

9514 1404 393

Answer:

Step-by-step explanation:

The equation of the given line can be written as ...

  Δy·x -Δx·y = Δy·x1 -Δx·y1

where Δy and Δx are the differences in y and x coordinates of two points on the line, respectively. Here, we can find them to be ...

  Δy = 5-(-5) = 10

  Δx = -5 -1 = -6

Then the equation of the given line can be written as ...

  10x +6y = 10(-5) +6(5) = -20

Dividing by 2 puts this in standard form:

  5x +3y = -10 . . . . . . equation of the graphed line

__

A parallel line will have the same x- and y-coefficients with a different constant. The equation of the parallel line is 5x +3y = 13.

A perpendicular line will have the x- and y-coefficients swapped, with one of them negated. The equation constant will likely be different. The coefficients may be multiplied by some factor so all the numbers are integers.

The equation of a perpendicular line is 6x -10y = 7.

Answer:

The circle on the far left is the sum of 4x + 3y and 2x - y so the answer is 4x + 3y + 2x - y = 6x + 2y. The circle on the far left is the sum of x + 4y and something. To find that "something" we can do 4x + 5y - (x + 4y) = 3x + y which is the value of the bottom right rectangle. This means that the value of the bottom circle is 2x - y + 3x + y = 5x.

Answer:

Step-by-step explanation:

left circle=4x+3y+2x-y=6x+2y

right  bottom rectangle=4x+5y-(x+4y)=4x+5y-x-4y=3x+y

Bottom circle=2x-y+3x+y=5x

Given,

The weight of candies normally distributed ;

Mean  weight of candies = 0.8543 g

Standard deviation, σ = 0.0519 g

Sample of candy came from a packet of 469 candies

Net weight of the packet = 400.3 g

Average weight of the candies in the packet;

\(x_{avg} =\) ∑xi/n = 400.3/469 = 0.8535

The population standard deviation (sigma=0.0519 g) is the standard deviation for a confectionery that was chosen at random (sample size n=1).

z = (X - μ) / (σ/√n) = (0.8536 - 0.8535) / (0.0519/√1) = 0.0001/0.0519 = 0.002

P(X > 0.8536) = P(z > 0.002) = 0.4992

A randomly chosen candy has a probability P=0.4992 of weighing at least 0.8536 g.

z = (X - μ) / (σ/√n) = (0.8543 - 0.8535) / (0.0519/√441) = 0.0008/0.0024 = 0.3288

P(X > 0.8543) = P(z > 0.3288) = 0.37115

A sample of 441 candies chosen at random has a probability P=0.3712 of having an average weight of at least 0.8543 g.

z = (X - μ) / (σ/√n) = (0.8556 - 0.8535) / (0.0519/√469) = 0.0021/0.0024 = 0.89

P(X > 0.8556) = P(z > 0.89) = 0.18673

Given that the likelihood is P=0.187, the brand's claim that it delivers the amount promised to customers on the label needs to be reevaluated.

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Rounding up to the nearest month, it will take 24 months (2 years) to pay off the debt.

To solve this problem, we need to use the formula for the monthly payment on a credit card:

\(M = (Pr(1 + r)^n) / ((1 + r)^n - 1)\)

where:

M is the monthly payment

P is the principal (the amount of the debt)

The yearly interest rate is divided by 12 to get the monthly interest rate, or r.

n is the number of months it will take to pay off the debt

We know that the principal is 7,883.42 and the monthly payment is 500. We need to find n.

We must first figure out the interest rate every month:

r = 0.192 / 12 = 0.016

Next, we can rearrange the formula to solve for n:

n = log(M / (M - Pr)) / log(1 + r)

Substituting the values we know:

n = log(500 / (500 - 7883.42 × 0.016)) / log(1 + 0.016)

n = 23.5

Rounding up to the nearest month, it will take 24 months (2 years) to pay off the debt.

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Answer:

Parallel lines are lines in a plane that are always the same distance apart. Parallel lines never intersect. Perpendicular lines are lines that intersect at a right (90 degrees) angle.

Step-by-step explanation:

1. 1/2

2. 3/10

3. 2 and 3/5

4. 1 and 7/12

5. 1 and 1/3

The solutions for the quadratic equation:

x^2 - 8x = -3

Are:

Here we want to solve the quadratic equation:

x^2 - 8x = -3

First we can move all the terms to the left side so we get:

x^2 - 8x + 3 = 0

Using the quadratic formula (or Bhaskara's formula) we can get the solutions for x as:

\(x = \frac{8 \pm \sqrt{(-8)^2 - 4*¨1*3} }{2*1} \\\\x = \frac{8 \pm 7.2 }{2}\)

Then the two solutions for the quadratic equation are:

x = (8 + 7.2)/2 = 7.6

x = (8 - 7.2)/2 =0.4

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The elements using rooster-method:

A){3,4,5,6,7,8,9,10}

B){5,6,7,8,9,10,11,12,13,14}

What is rooster-method?

By listing the items of a set inside brackets, the roster method may be used to display the elements of a set. One of three ways to describe a set is in rooster form. The items of a set are listed in the roster form between curly or following brackets, with commas separating each element. When items repeat in the set, the roster approach actually has an issue. Because the elements do not follow a pattern or have a specific order, it is impossible to describe the elements in roster notation if the set has a significant number of elements or any repeated elements.

A)Set of natural odd numbers greater than 2 but less than 11:

Let us represent the set using symbol O:

O = {3,4,5,6,7,8,9,10}

B){x| x∈ N and 4<x<15}

Given that x is a natural number greater than 4 but less than 15.

X={5,6,7,8,9,10,11,12,13,14}

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Answer:

-3

Step-by-step explanation:

-9t-4=23

-9t=27

t=-3

Answer:

9

Step-by-step explanation:

4 * 2 + 3 - 2 =

= 8 + 1 =

= 9

Answer:

The tricky part is rewriting g(x + 2) as g(x) instead.

Start by substituting u = x + 2

u = x + 2

x = u - 2

Now we have:

g(u) = 3(u - 2) + 1

g(u) = 3u - 6 + 1

g(u) = 3u - 5

We have the function g with a single variable. So we could replace it back to x:

g(x) = 3x - 5

So the question becomes much simpler:

f(x) = 2x

g(x) = 3x - 5

To find f(g(x)), just put in g(x) = 3x - 5 into f(x)

f(x) = 2x

f(g(x)) = 2 * g(x)

f(g(x)) = 2(3x - 5)

f(g(x)) = 6x - 10

Answer:

6x - 10

g(x+2)=3x+1

Answer: -3.2, -2.6, -2, -1, 3, 4.55, 8, 8.2, 10, 25, 77

Step-by-step explanation:

Since negative numbers are smaller than positive numbers, those would be ordered first. A negative number that has the greater absolute value (for example the absolute value of -3 is 3) is the number that is smaller. After that, you order every other number as it would appear when you count.

:)

Answer:

x + 3y = -15

Step-by-step explanation:

There are 2 ways to find this equation:

The first way:  We have: y = ax + b (this is the line, right?)

The line is through the point (-6, -3) so we have:

-3 = (-6)a + b      (1)

The line is also through the point (-9, -2) so we have:

-2 = (-9)a + b.       (2)

From (1) and (2) we get a equals -1/3, b equals -5. Then:

\(y=-\frac{1}{3} x - 5\)

<=> \(x + 3y=-15\)

The second way:

Let A(-6, -3) and B(-9, -2), then AB = (-3, 1).

=> The normal vector of this line is n = (1, 3).

The line that is through the points A(-6, -3) and B(-9, -2), and has the normal vector n=(1, 3) has the equation:

\(1(x+6) +3(y+3)=0\\x+3y +15=0\\x+3y=-15\)

The surface area of the right rectangular prism is given as follows:

358 m².

The surface area of a prism is obtained with the sum of the areas of each part of the prism.

The parts that compose the prism are given as follows:

The area of a rectangle is given by the multiplication of each of the dimensions of the rectangle.

Hence the surface area of the prism is calculated as follows:

S = 2 x (7 x 12 + 5 x 12 + 5 x 7) = 358 m².

(multiplication by two due to the two rectangles with each of the dimensions).

The prism is given by the image shown at the end of the answer.

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Answer:B

Step-by-step explanation:

Answer:

225 cubic centimeters

Step-by-step explanation:

Volume = LWH

15*5*3 = 15*15 = 225

Answer: A: It will cost $936.00 to carpet the floor.

B: It will cost $297.00 to wallpaper all four walls.

C: It will cost $33.25 to paint the ceiling.

D: The cost of the entire project will be $1266.25.

Step-by-step explanation:

To calculate the costs for carpeting, wallpapering, painting, and the overall cost of the project, we need to determine the areas that need to be covered and the corresponding prices for each material.

Given dimensions:

Room length: 26 feet

Room width: 18 feet

Room height: 9 feet

Door dimensions:

Height: 6 feet 6 inches

Width: 4 feet

Window dimensions (each):

Width: 2 feet

Height: 2 feet 6 inches

A: Carpeting the floor:

To find the area of the floor, we multiply the length and width of the room:

Floor area = Length × Width = 26 feet × 18 feet = 468 square feet.

To convert to square yards (since the carpet is sold per square yard), we divide by 9:

Floor area in square yards = 468 square feet / 9 = 52 square yards.

Cost to carpet the floor = Floor area in square yards × Cost per square yard = 52 square yards × $18.00 = $936.00.

B: Wallpapering the walls:

To find the area of the walls, we calculate the perimeter of the room (2 × (Length + Width)) and multiply it by the height of the room:

Wall area = Perimeter × Height = 2 × (26 feet + 18 feet) × 9 feet = 396 square feet.

Cost to wallpaper the walls = Wall area × Cost per square foot = 396 square feet × $0.75 = $297.00.

C: Painting the ceiling:

To find the area of the ceiling, we multiply the length and width of the room:

Ceiling area = Length × Width = 26 feet × 18 feet = 468 square feet.

Since a quart of paint covers 88 square feet, we need to determine the number of quarts required:

Number of quarts = Ceiling area / Coverage per quart = 468 square feet / 88 square feet = 5.32 quarts.

Since a gallon contains 4 quarts, the number of gallons required is 5.32 quarts / 4 quarts = 1.33 gallons.

Cost to paint the ceiling = Number of gallons × Cost per gallon = 1.33 gallons × $25.00 = $33.25.

D: Cost of the entire project:

Total cost = Cost to carpet the floor + Cost to wallpaper the walls + Cost to paint the ceiling

= $936.00 + $297.00 + $33.25 = $1266.25.

Therefore:

A: It will cost $936.00 to carpet the floor.

B: It will cost $297.00 to wallpaper all four walls.

C: It will cost $33.25 to paint the ceiling.

D: The cost of the entire project will be $1266.25.

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Answer: 72.36

Step-by-step explanation:

To find the total amount of salt in the bowl after Omar poured 13.2 grams, we need to add the initial amount of salt in the bowl to the amount of salt Omar added.

The initial amount of salt in the bowl was 59.16 grams.

Omar added 13.2 grams of salt to the bowl.

To find the total amount of salt in the bowl now, we add these two amounts: 59.16 + 13.2 = 72.36

Therefore, the bowl contains 72.36 grams of salt now.

Step-by-step explanation:

To get the same output in SPSS, you would need to input the following 30 variables in the data editor:

ID

Height1

Height2

Height3

Height4

Height5

Height6

Height7

Height8

Height9

Height10

Height11

Height12

Height13

Height14

Height15

Height16

Height17

Height18

Height19

Height20

Height21

Height22

Height23

Height24

Height25

Height26

Height27

Height28

Height29

In this case, "ID" represents the identification number of each student, and "Height1" to "Height29" represent the height of each student in the sample.

To perform the one-sample t-test and obtain the output, follow these steps in SPSS:

Go to "Analyze" > "Compare Means" > "One-Sample T Test"

Select the variable "Height1" to "Height29" and move them to the "Test Variable(s)" box

Enter "170" in the "Test Value" box

Click "OK"

The output should then appear in the "Output Viewer" window.

With respect to the proportional relationship table, Harry can run 2.6 miles in 28.6 minutes

What is the proportional relationship?

If all of the ratios of the variables are equal, then there is a proportional link between the two variables. In a proportional relationship, one variable is, in other words, always a constant value multiplied by the other variable. In other words, a relationship is proportional if it can be explained by multiplying each pair of data values by a certain amount.

Solution Explained:

A/Q, the table shows the proportional relationship between distance and time.

Given,

Distance                   Time
0.7                             7.7
1.4                              15.4
x                                 28.6

We know, the ratios are equivalent in a proportional relationship
If we divide, 0.7 and 7.7, we get 11
so taking 11 as the constant of proportionality, we get

x X 11 = 28.6
x = 28.6 / 11
x = 2.6

Therefore, Harry can run 2.6 miles in 28.6 minutes.

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Answer:

Harry can run 2.6 miles in 28.6 minutes

Step-by-step explanation:

A/Q, the table shows the proportional relationship between distance and time.

Given,

Distance                   Time

0.7                             7.7

1.4                              15.4

x                                 28.6

We know, the ratios are equivalent in a proportional relationship

If we divide, 0.7 and 7.7, we get 11

so taking 11 as the constant of proportionality, we get

x X 11 = 28.6

x = 28.6 / 11

x = 2.6

Therefore, Harry can run 2.6 miles in 28.6 minutes.

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Answer:

x₁ = 0

x₂ = 6

Step-by-step explanation:

9x² - 54x = 0

9x(x - 6) = 0

x(x - 6) = 0

x = 0

x - 6 = 0 → x = 6

Hope this helps! :)

Answer:

x₁ = 0

x₂ = 6

Step-by-step explanation:

9x² - 54x = 0

9x(x - 6) = 0

9x = 0 => x₁ = 0

x - 6 = 0 => x₂ = 6

The volume of the prism is 1323 feet³ (cubic feet).

Length= 21 feet.

Width= 9 feet.

Height= 7 feet.

The formula to calculate the volume of rectangular prisms is the following:

\(\sf V_{RP} =l*w*h\); where "l" is the length; "w" is the width, and "h" is the height of the prism.

Check the attached image to see where these values are measured from.

Substitute the variables in the formula by the values on step 1.

\(\sf V_{RP} =l*w*h=(21\ feet)*(9\ feet)*(7\ feet)=\boxed{\sf1323\ feet}.\)

The volume of the prism is 1323 feet³ (cubic feet).

-------------------------------------------------------------------------------------------------------

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Answer:

The volume of the rectangular prism is 1323 cubic feet.

Step-by-step explanation:

Step 1: Write down the formula for the volume of a rectangular prism:

\(\qquad\Large\boxed{\rm{\:\:\:V = l \times w \times h\:\:\:}}\)

Step 2: Substitute the given values for the length, width, and height:

\(\qquad\Large\rm{V = 21\: ft \times 9\: ft \times 7\: ft}\)

Step 3: Multiply the numbers together:

\(\qquad\Large\rm\implies{V = 1323\: ft^3}\)

Step 4: Write the final answer with the appropriate units:

The volume of the rectangular prism is 1323 cubic feet.

\(\blue{\overline{\qquad\qquad\qquad\qquad\qquad\qquad\qquad\qquad\qquad\qquad\qquad\qquad\qquad\qquad}}\)

An equation to represent this situation is y = 60x

In Mathematics and Geometry, the slope-intercept form of the equation of a straight line is given by this mathematical equation;

y = mx + b

Where:

Based on the information provided above, we can logically deduce that the cheetah was clocked running 60 miles per hour over a 50-yard distance. This ultimately implies that, an equation that models this situation is given by:

y = 60x

Where:

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The equation y = \(-0.024x^2\) + 0.0791x + 4.873 represents a quadratic function with a downward-opening parabol

The given expression is a quadratic equation in the form y = -0.024x^2 + 0.0791x + 4.873. Let's analyze its components and characteristics.

The equation represents a quadratic function, where x is the independent variable and y is the dependent variable. The coefficients in front of each term determine the shape, position, and direction of the graph.

The term with the highest power of x is -0.024x^2, which indicates a downward-opening parabola. The coefficient -0.024 determines the steepness of the curve. A negative coefficient means the parabola is concave down.

The term 0.0791x is the linear term and determines the slope of the line. A positive coefficient indicates an upward or positive slope. It affects the overall direction and position of the graph.

The constant term 4.873 is the y-intercept. It indicates the point at which the graph intersects the y-axis when x = 0.

To analyze the graph of the quadratic equation further, we can calculate the vertex. The x-coordinate of the vertex can be found using the formula x = -b/(2a), where a and b are the coefficients of x^2 and x, respectively. In this case, a = -0.024 and b = 0.0791. Substituting these values into the formula, we have x = -0.0791 / (2 * -0.024) ≈ 1.643. By substituting this x-coordinate into the equation, we can find the y-coordinate of the vertex.

Overall, the equation y =\(-0.024x^2 + 0.0791x\) + 4.873 represents a quadratic function with a downward-opening parabola. The specific properties, such as the vertex and other key points, can be determined by further calculations and analysis of the equation.

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