carly and ramil want to draw a line on the coordinate plane that is parallel to line a. carly uses the rule multiply by 1 add 2 to generate her y coordinates. ramil uses the rule multiply by 2 and add 1 to generate his y-coordinates. which students line will be parallel to line d? without graphing the lines explain how you know

A better prediction in the scatter plot when for x when y = 7 would be

A scatter plot, аlso known as a scatter diagram or scatter grаph, is a grаphical representаtion оf dаtа thаt displays thе relаtionship between twо variables.

It is used to investigate thе сorrelation or relаtionship between twо quantitativе variables, tyрically rеprеsеntеd on thе x-axis and y-aхis оf a Сartesian cооrdinate system.

In the coordinate Cartesian system shown, for y = 7 the value closest is 11.  x = 52 is far away and will correspond to higher vales of y.

The relationship is a positive association

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To find when the two equations 65x + 20 = y and 730 + 35x = y will meet on the graph, we need to solve for the value of x that satisfies both equations.

We can begin by setting the right-hand sides of the two equations equal to each other:

65x + 20 = 730 + 35x

Subtracting 35x from both sides, we get:

30x + 20 = 730

Subtracting 20 from both sides, we get:

30x = 710

Dividing both sides by 30, we get:

x = 23.67

Now that we have found the value of x that satisfies both equations, we can substitute it into either equation to find the corresponding value of y. Let's use the first equation:

y = 65x + 20

y = 65(23.67) + 20

y = 1539.55

Therefore, the two equations will meet on the graph at the point (23.67, 1539.55).

The pattern that can be used to represent a triangular number is T(n) = 1 + 2 + 3 + ... + n.

A number that can take the form of an equilateral triangle is called a triangular number. By definition, it represents the sum of positive integers up to n consecutive natural numbers. The pattern for such a calculation is expressed as follows:

T(n) = 1 + 2 + 3 + ... + n.

Triangular numbers exhibit many engaging properties and are applicable across various mathematical and real-world contexts.

In conclusion, the pattern used to represent a triangular number is T (n) = 1 + 2 + 3 + ... + n.

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The two x-values where the sculpture at sea-level are x = 2.581 and x = -0.581

From the question, we have the following parameters that can be used in our computation:

y = 2x^2 - 4x - 3

When the sculpture at sea-level, the value of y is 0

So, we have

2x^2 - 4x - 3 = 0

When solved graphically, we have

x = 2.581 and x = -0.581

Hence, the x values are x = 2.581 and x = -0.581

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The solution is ,if it takes three people 4 hours to clean a warehouse , then 3 hours will it take 4 people to clean the warehouse.

Here, we have,

given that.

if it takes three people 4 hours to clean a warehouse

now, we have to find that  how long will it take 4 people to clean the warehouse.

i.e. we have,

3 people take to clean = 4 hours

let, 4 people will take to do it x hours.

now, we have,

3 people take to clean = 4 hours

so, 1 people take to clean = 4*3 hours

so, 4 people take to clean = 4*3 / 4 hours

i.e. we get,

x = 4*3 / 4 hours

or, x = 12/4 hours

       = 3 hours

Hence, if it takes three people 4 hours to clean a warehouse , then 3 hours will it take 4 people to clean the warehouse.

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The two lines will intersect after 3 months.

We can set the two expressions for y equal to each other:

400x + 700 = 300x + 1,000

100x + 700 = 1,000

100x = 300

x = 3

So the two lines will intersect after 3 months. In this case, to find the corresponding value of y, we can substitute x = 3 into either of the equations:

y = 400x + 700

y = 400(3) + 700

y = 1,500

Therefore, the two lines will intersect after 3 months, at a point with coordinates (3, 1,500).

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The final velocity of the sled is 4.317 m/s.

Before the snow,

Total mass of sled = 35 + 4.2 = 39.2 kg

Initial velocity of the sled = 5 m/s

Momentum = Mass × Velocity

                   = 39.2 × 5

                   = 196 kg m/s

After the snow,

Total mass = 35 + 4.2 + 6.2 = 45.4 kg

Let v be the final velocity.

By the law of conservation of momentum,

Momentum before snow = momentum after snow

196 = 45.4 v

v = 4.317 m/s

Hence the final velocity is 4.317 m/s.

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The scores of the maths students recorded by their tutor presented in three suitable groups are 1 - 10, 11 - 20, 21 - 30.

Math test scores: 15, 24, 6, 8, 29, 6, 12, 17, 24, 22, 25, 30, 18, 3, 11, 7, 18, 27, 28, 27

The group of scores when divided into 3;

Group frequency

1 - 10 5

11 - 20 6

21 - 30 9

Therefore, the groups 1 - 10, 11 - 20, 21 - 30 have the frequency 5, 6 and 9 respectively.

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The domain of a function can be determined​ by getting the set of input values of the function it can take

From the question, we have the following parameters that can be used in our computation:

The definition of a function

As a general rule

The domain of a function is the set of input values of the function

Take for instance, the domain of y = x + 2 is all real number

This is so because it can accept all real numbers as its input

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Answer:

g(f(4)) = 106.

Step-by-step explanation:

To find f(g(4)), we first need to find

g(4):g(4) = 5(4)^2 - 4(4) + 1 = 80 - 16 + 1 = 65

Now that we know g(4) is 65, we can find

f(g(4)):f(g(4)) = f(65) = 2(65) - 3 = 127

Therefore,

f(g(4)) = 127.

To find g(f(4)), we first need to find f(4):f(4) = 2(4) - 3 = 5

Now that we know f(4) is 5, we can find g(f(4)):

g(f(4)) = g(5) = 5(5)^2 - 4(5) + 1 = 125 - 20 + 1 = 106

Therefore, g(f(4)) = 106.

The zeros are not the factors of the expression using the synthetic method

The expression is given as

x⁴ - 4x² + 10x + 13

Testing the factors, we have

(x, y) = (2, 0)

The synthetic set up is

2 |   1  0  -4   10   12

    |__________

Bring down the first coefficient, which is 1 and repeat the process

2 |   1  0  -4   10   12

    |___2_4__0__20__

       1   2   0  10    32

This has a remainder of 32

So, (2, 0) is not a factor

(x, y) = (1, 0)

The synthetic set up is

1 |   1  0  -4   10   12

    |__________

Bring down the first coefficient, which is 1 and repeat the process

1  |   1  0  -4   10   12

    |___1__1__-3_7__

       1   1   -3    7    19

This has a remainder of 19

So, (1, 0) is not a factor

(x, y) = (-1, 0)

The synthetic set up is

-1  |   1  0  -4   10   12

    |__________

Bring down the first coefficient, which is 1 and repeat the process

-1  |   1  0  -4   10   12

    |__-1__1__3__13__

       1  -1   -3    13   25

This has a remainder of 25

So, (-1, 0) is not a factor

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The height of the triangle is h = 18.18 inches

Given data ,

In an equilateral triangle, all three sides are equal in length.

Let the length of each side be s

Now , the perimeter of the equilateral triangle is given as 63 inches, so we have:

Perimeter of the triangle = 3s = 63 inches

Dividing both sides by 3, we get:

s = 63/3 = 21 inches

Let's now plot an altitude from one of the equilateral triangle's vertex to the side's midway. As a result, two right-angled triangles will be formed, each with the hypotenuse "s" and sides "s/2" and "h"

From the Pythagoras theorem , we get

(h²) + ((s/2)^2) = s²

Substituting the values we found earlier for "s", we get:

(h²) + ((21/2)²) = 21²

Simplifying further, we have:

(h²) + (10.5²) = 21²

(h²) + 110.25 = 441

Subtracting 110.25 from both sides, we get:

h² = 330.75

On taking square roots on both sides , we get

h = √(330.75)

h ≈ 18.18 inches

Hence , the height of the equilateral triangle is 18.18 inches

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The strategies that Alondra can use to complete the statement include:

When a decimal number is created by Alondra and possesses 4 or more in the tenths place, it will exceed 4.3, as stated to exemplify decimals including 4.31 or 4.32.

Similarly, if there are 3 units plus a greater number appended behind the second digit after the decimal point (hundredths place). Deriving an outcome extending further than 4.30 can occur for any value above that obtained from inputting the numbers 4 and 3 into their respective positions in a given sequence.

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Step-by-step explanation:

This is a composit figure of a 20 x 30 m rectangle and a circle of radius 10m

area of rectangle + area of circle = total area

     l x w                +     pi r^2           = total

       20 x 30         + pi (10^2)   = 914.2 m^2

The expected profit for the first mall is $425,000.

To calculate the expected profit for the first mall, we need to multiply the profit for each outcome by its probability, and then add up the results.

Let S denote success and F denote failure for the first mall.

Then the expected profit is:

Expected profit for the first mall = (probability of success) × (profit for success) + (probability of failure) × (profit for failure)

Expected profit for the first mall = (1/2) × $1,275,000 + (1/2) × (-$425,000)

Expected profit for the first mall = $637,500 - $212,500

Expected profit for the first mall = $425,000

Therefore, the expected profit for the first mall is $425,000.

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Answer:10

Step-by-step explanation:

The best interpretation is  the product of the cube root of 2.07 and the age of the mammal

h = 37.8 (2.07t)³ + 78.6

Now, let's analyze the term (2.07t)³:

Based on this analysis, the best interpretation of (2.07t)³ is:

B. the product of the cube root of 2.07 and the age of the mammal

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The Venn diagram is attached in the solution.

Given that, a Venn Diagram with sets B, D, and the universal set U, we need to Shade (BUD)’ on the Venn diagram,

We know that, the complement of a set is the set that includes all the elements of the universal set that are not present in the given set.

Therefore, (BUD)’ = U - (BUD)

therefore, we will shade all the portion except (BUD),

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Step-by-step explanation:

We have the system of equations:

1/x + 2/y = 1 -----(1)

-1/x + 8/y = -6 -----(2)

We can use the substitutions u = 1/x and v = 1/y to rewrite the equations in terms of u and v. Substituting, we get:

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

-u + 8v = -6 -----(4)

Now we can solve the system in terms of u and v. Adding equations (3) and (4) gives:

2v = -5

Dividing both sides by 2, we get:

v = -5/2

Substituting this value of v into equation (3) gives:

u + 2(-5/2) = 1

Simplifying:

u - 5 = 1

u = 6

Therefore, we have u = 6 and v = -5/2.

To find the solution set in terms of x and y, we substitute back:

u = 1/x, so 6 = 1/x, and x = 1/6

v = 1/y, so -5/2 = 1/y, and y = -2/5

Therefore, the solution set to the original system is x = 1/6 and y = -2/5.

The area of a rectangle is 14x² + 19x - 3 square units.

The degree of 4x² + 3y - 6x⁴y + 4 is 5.

The number of terms of 4x² + 3y - 6x⁴y + 4 is 4.

Adding, subtraction or multiplying two polynomials always results in another polynomial.

In Mathematics and Geometry, the area of a rectangle can be calculated by using the following mathematical equation:

A = LB

Where:

By substituting the given parameters into the formula for the area of a rectangle, we have the following;

Area of rectangle = (7x - 1) × (2x + 3)

Area of rectangle = 14x² + 21x - 2x - 3

Area of rectangle = 14x² + 19x - 3 square units.

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The circumference of the circle is 50.272in and the area is 3.142 x 8² = 200.96in².

The formula for circumference of a circle is given as:

  C = 2[tex]\pi[/tex]r

where r is the radius

and [tex]\pi[/tex] is 3.142

Area of a circle is given as:

   A = [tex]\pi r^{2}[/tex]

From the diagram,

diameter (d) given is 16in i.e:

d = 16in

but

r = d/2 = 16/2 = 8in

Now solve the C and A using the formula above:

C = 2 x 3.142 x 8 = 50.272in (approx.)

A = 3.142 x 8² = 200.96in² (approx.)

Briefly, a circle is a two-dimensional geometric shape consisting of all points in a plane that are a fixed distance, called the radius, from a given point called the center.

The distance around the circle, also known as its perimeter, is called the circumference.

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Answer:

  132175.2 cm³

Step-by-step explanation:

You want the volume of a sphere with radius 31.6 cm.

The volume of a sphere is given by the formula ...

  V = 4/3πr³

For a radius of 31.6 cm, we find the volume to be ...

  V = 4/3π(31.6 cm)³ ≈ 132,175.2 cm³

The volume of the sphere is about 132,175.2 cm³.

The 99% confidence interval for the proportion of Americans who believe that the minimum wage should be raised is: 0.56 < P < 0.64

We are given:

Sample size: n = 1000

Sample proportion: p = 600/1000 = 0.6

Formula for confidence interval for proportion is:

CI = p ± z√(p(1 - p)/n)

where:

p is sample proportion

n is sample size

z is z-score at confidence level

z at 99% CL = 2.576

Thus:

CI = 0.6 ± 2.576√(0.6(1 - 0.6)/1000)

CI = 0.6 ± 0.04

CI = (0.56, 0.64)

CI = 0.56 < P < 0.64

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Answer:

20

Step-by-step explanation:

2L + 2W = P :))

Answer:

0.039 or 0.040

Step-by-step explanation:

this is due to how when u get things like 3.9 and you need to round u just round up bye it to get the closest answer

When the transformation is preformed on a coordinate plane, the coordinates of the new point would be located in a different quadrant.

The coordinates of the new point on this figure are (-6, -2).

In Geometry, the rotation of a point 180° about the origin in a clockwise or counterclockwise direction would produce a point that has these coordinates (-x, -y).

Furthermore, the mapping rule for the rotation of a geometric figure about the origin is given by this mathematical expression:

(x, y)                                            →            (-x, -y)

Coordinates of point A = (6, 2)  →  Coordinates of point A' = (-6, -2)

In conclusion, the transformation rule (x, y) → (-x, -y) is used for the rotation of a geometric figure about the origin in a clockwise or counterclockwise (anticlockwise) direction.

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Answer:

If the shoes are 20% off, then the sale price of the shoes will be:

67 - 0.20 * 67 = 67 - 13.40 = 53.60

So the sale price of the shoes is $53.60.

If the sales tax is 5%, then the tax on the shoes will be:

0.05 * 53.60 = 2.68

So the tax on the shoes is $2.68.

To find the total price of the shoes including tax, we need to add the sale price of the shoes and the tax:

53.60 + 2.68 = 56.28

Therefore, the total price of the shoes, including tax, is $56.28.

Answer:

$56.28

Step-by-step explanation:

1. Find the shoes' sale price.

The shoes are 20% off. We will find the new price by first finding 20% of $67.

An easy way to do it:

10% of 67 = 6.7
20% of 67 = 13.4

to double the percentage of the first equation, double the answer.

Now that we know 20% of 67 we can take away 20% from it:

67 - 13.4 =53.6

Money uses 2 decimal points so we will add a 0 at the end of the result.

The price of the shoes with only the sale is $53.60.

2. Add sales tax

First find out 5% of $53.60.

An easy way to do it:

10% of 53.60 = 5.360

5% of 53.60 = 2.68

to half the percentage of the first equation, half the answer.

Now that we know the price of the tax we can add it to our shoe price. With the sale the shoe costs $53.60 and we will add our tax:

53.60 + 2.68 = 56.28

Add your units:

[tex] \\ 7 \sqrt{ \\ + 45)4} [/tex]

Answer:

To find 40% of a number, you can multiply the number by 0.4 or divide it by 2.5.

Using this method, we get:

40% of 100 is 40 (100 x 0.4 or 100 ÷ 2.5)

40% of 110 is 44 (110 x 0.4 or 110 ÷ 2.5)

40% of 140 is 56 (140 x 0.4 or 140 ÷ 2.5)

40% of 120 is 48 (120 x 0.4 or 120 ÷ 2.5)

Therefore, 40% of 100 is 40, 40% of 110 is 44, 40% of 140 is 56, and 40% of 120 is 48.

Answer:

A

Step-by-step explanation:

sqrt 5 ( 4pi - 2pi) =   2 pi sqrt 5  for the numerator

then     2 pi sqrt (5)  / 3 sqrt (5)      the sqrt (5) 's cancel out and you have

          2pi / 3