Examine Carmen's plans for rail lines at a train station.
2
(6x + 5)°
X
48%
What is the measure of angle 2? m/2 =
K
m
(7x-4)°
t

Answer:

128, -256, -1024

Step-by-step explanation:

multiply 32 by 4, multiply 128 by -2, multiply -256 by 4

Answer:

Vertical is the answer

We can actually deduce here the one that uses the reciprocal property to rewrite  [tex]\frac{x}{6} = \frac{28}{3\\}[/tex]  is: C. [tex]\frac{6}{x} = \frac{3}{28}[/tex].

A reciprocal of a number is defined as the number that when it is multiplied by the number, the result is 1. Thus, we deduce here that the product of a number and its reciprocal gives one.

Thus: x/6 x 6/x = 1

Also, if 28/3 x 3/28 = 1

Thus, we see that they use the reciprocal property.

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The system of equation has an infinitely many solutions

The equations are given as:

2x + y = -3

-2y = 6 + 4x

Express 2x + y = -3 in slope-intercept form

y = - 3 -2x

Divide through by -2 in -2y = 6 + 4x

y = -3 - 2x

So, we have:

y = - 3 -2x  and y = -3 - 2x

Both equations are the same.

This means that the system of equation has an infinitely many solutions

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The flow chart is complete and the answers are given below.

Those figures that have same shape and size are called Congruent Figures.

The flow diagram will be completed as follows

∠2 ≅ ∠4 (  vertical angle theorem )

∠1   ≅  ∠2  ( Given )

∠1  ≅ ∠ 3  ( Vertical Angle Theorem)

∠3   ≅  ∠4  ( Transitive Property of congruence)

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The weight of the smallest rectangular block is 1400 pounds.

The density refers to the heaviness of an object. It is the ratio of mass to volume.

Then we have

Density = Mass / Volume

A sculptor is planning to order a rectangular block of composite stone to sculpt a lion.

The sculptor anticipates that the lion will be 5 feet long, about 2 feet wide and at the tallest part of the lion's body, have a height of 3.5 feet.

The composite stone weighs 40 pounds per cubic foot.

To the nearest cubic foot, estimate the weight of the smallest rectangular block that the sculptor must purchase in order to create his statue.

Then the weight of the smallest rectangular block will be

Mass = density x volume

The volume will be

V = 5 x 2 x 3.5

V = 35 cubic feet

Then the weight will be

Mass = 40 x 35

Mass = 1400 pounds

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Answer:

The answer is 105.

Step-by-step explanation:

Answer:

every second it travels 1/5 of a mile after 3 seconds you are 3/5 miles away

Hope This helps!

Therefore the solution to this equation is imaginary given by x = [tex]\rm \dfrac { 3 \pm \sqrt{-3}}{2}[/tex]

A Quadratic equation is an equation that can be written in the form of

ax² +bx+c = 0

The solution of the given quadratic equation

x² -3x +3 = 0

the roots of the equation is given by

[tex]\dfrac { -b \pm \sqrt{b^2 -4ac}}{2a}[/tex]

here a = 1 , b = -3 , c = 3

Substituting the values

The solution is

[tex]\rm \dfrac { 3 \pm \sqrt{(-3)^2 -4*1 *3}}{2}[/tex]

Therefore the solution to this equation is imaginary

given by

x = [tex]\rm \dfrac { 3 \pm \sqrt{-3}}{2}[/tex]

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Graph C represents the following system of inequalities. For clarification refer to the attachment.

Inequality is a sort of equation in which the equal sign is missing. As we will see, inequality is defined as a statement regarding the relative magnitude of two claims.

Given relations;

x < - 2x + 4

y < x + 3

x < 3

Hence graph C represents the following system of inequalities.

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Answer:

Option C is equal to 7^1/3

A data set having two values that have the highest and equal frequencies will have a bimodal distribution. Hence, option D is the right choice.

Thus, a data set having two values that have the highest and equal frequencies will have a bimodal distribution. Hence, option D is the right choice.

The given question is incomplete. The complete question is:

"Sometimes, a data set has two values that have the highest and equal frequencies. In this case, the distribution of the data can best be described as:

A. Symmetric distribution

B. Negatively skewed distribution

C. Positively skewed distribution

D. Bimodal distribution."

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Answer:

all 50 states

Step-by-step explanation:

Hey there ! please refer to the attachment .

I hope its help you !

Answer:

Step-by-step explanation:

The quadratic expression having repeated root is 8x² - 32x + 32.

Quadratic expressions are polynomial expressions of second degree.

The general form of a quadratic expression is ax² + b x + c.

We have to find the root of each quadratic expression.

x² - 18x - 81 = 0

Discriminant = [tex]\sqrt{(-18)^2-(4*-81)}[/tex] = [tex]\sqrt{648}[/tex]

x = (18 + √648) / 2 or x = (18 - √648) / 2

Distinct roots

x² - 2x + 3

Discriminant = [tex]\sqrt{(-2)^{2}-(4*3) }[/tex] = [tex]\sqrt{-8}[/tex]

x = (2 + [tex]\sqrt{-8}[/tex]) / 2 or x =  (2 - [tex]\sqrt{-8}[/tex]) / 2

Distinct roots

8x² - 32x + 32

Discriminant = [tex]\sqrt{(-4)^{2}-(4*4) }[/tex] = 0

x = (4 + 0)/ 2 or x = (4 - 0) / 2

x = 2 or x = 2

Repeated roots

Hence the quadratic expression having repeated roots is 8x² - 32x + 32.

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Answer:

3125

Step-by-step explanation:

And

The value of a₃₂ is 7 , Option A is the correct answer.

Matrix is an array or an arrangement of numbers or expression in rows and column format.

The matrix is given

For a matrix of size mxn , m is the row and n is the column of the matrix.

a₃₂ = This term means 3rd row and 2nd column of the matrix

which is 7

Therefore the value of a₃₂ is 7 , Option A is the correct answer.

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By the Pythagorean theorem,

[tex]a^{2}+12^{2}=13^{2}\\\\a^{2}+144=169\\\\a^{2}=25\\ \\ a=\boxed{5}[/tex]

Answer:

9 dollars per hour

Step-by-step explanation:

We want to use a ratio to find the rate in dollars per hour

72 dollars / 8 hours

Simplify by dividing the top and bottom by 8

9 dollars / 1 hour

9 dollars per hour

Step-by-step explanation:

72$ Per 8 hours, is the same as getting 9$ per hour. How this is possible is simple, All you do when you get a question like this, is that you divide the dollars by the hour, minutes, seconds, etc.

Problem-Connection:

As from this Question we Have 72$ per 8 hours, so we divide 72/8 which results in 9. So Dan Earns 9$ Per Hour.

Answer:

Dan Earns 9$ Per hour.

Your welcome!

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Answer:

Step-by-step explanation:

Additive inverse:

-3=3

14=-14

-28=28

-1/5=1/5

Multiplicative Inverse:

2/3=3/2

6/18=18/6

5=1/5

11=1/11

Answer:

inverse of -3 is +3

inverse of 14 is -14

inverse of -28 is 28

inverse of -1/5 is 1/5

inverse of 2/3 is 3/2

inverse of 6/18 is 18/6

inverse of 5 is 1/5

inverse of 11 is 1/11

Step-by-step explanation:

Because inverse mean switch it. or opposite of digit

if plus digit then negative digit .

The type of function that best models the data in the table is the quadratic function

The table of values is represented as:

x: 4 6 8 10 12

y : 118 142 150 142 118

From the above table, we can see that:

This is only possible in a quadratic function

Hence, the type of function that best models the data in the table is the quadratic function

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Answer: 113 inches cubed

Step-by-step explanation:

Volume of a sphere = 4/3 Pi r^3

Radius = 3 inches

Volume = 113 inches cubed

Hope I helped!

According to the given synthetic division, the statements that are true are; Options A, C and E

In the synthetic calculation we use the coefficient of the dividend

with the factors of the function.

Therefore;

3 , -13 , 4 are the coefficient of the dividend 3x² - 13x + 4

Therefore, the divisor is 4 and as such x = 4 is a root of f(x) = 3x² - 13x + 4

Also, it means that (x - 4) is a factor of the dividend F(x) = 2x² - 2x - 12

- The quotient is the last line of the synthetic division. Thus, the coefficients of quotient are 3, -1.

- The quotient is 1 degree less than the dividend and so the degree of the dividend is 2.

- The degree of the quotient is 1 and so the he quotient is 3x - 1.

Thus, options A, C and E are correct

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Answer:

5.8

Step-by-step explanation:

The circumference of the base of the cone is 8π - x since the base is equal to go the arc length of the remainder of the circle.

The radius r as a function of x will be:

8π - x = 2πr

r = (8π - x)/2π

r = 4 - x/2π

The height has a function of x will be:

r² + h² = 16

h² = 16 - r²

where r = 4 - x/2π

h = √16 - ✓(4 - x/2π)²

h = 4✓(4 - x/2π)²

The volume V of the cone as a function of x will be:

= 1/3 πr²h

= π/3(4 - x/2π)² 4✓(4 - x/2π)²

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Answer:

A

Step-by-step explanation:multiply both sides by two, then subtract b and c from both sides to get a on the right side by itself

Answer:

О A      a = 2s - b - c

Step-by-step explanation:

S = (a+b+c)/2

2s = a + b +c

2s - b - c = a

A circle of radius 1 is inscribed within a square. What is the probability that a randomly-selected point with the square is also within the circle?

[tex] {p}^{2} > {p}^{2} \: \: and \: \: p {1}^{2} - \: p {2}^{2} \: < \frac{1}{3} [/tex]

Step-by-step explanation:

HOPE ITS HELP

Answer:

The horizontal asymptote is y=1 and

The vertical asymptote is x=5

Even numbers = 2x +2

Consecutive even numbers = 2x+4

then

(2x+2) + (2x+4)= 38

2x + 2 + 2x + 4 = 38

2x + 2x + 2 + 4 = 38

    4x + 6 = 38

                   4x = 38 - 6

                     x = 32 :4

                    x = 8

2x+ 2 = 2(8)+2 = 16 + 2 = 18

2x+4 = 2(8) +4 = 16 + 4 = 20

The smallest number is 18

[tex]\huge \red{\boxed{\green{\boxed{\boldsymbol{\purple{Pisces04}}}}}}[/tex]

Answer:

18 is the smaller number

Step-by-step explanation:

Let us take X for the first even number (it will also be the smallest)

x, x+1, x+2, so on..

the consecutive even number of x+2 is the next even number after x.

so you now get this equation...

x+(x+2) = 38

2x + 2 = 38

2x = 36

x=18

Answer:

32

Step-by-step explanation:

the pattern of sticks from the first 3 diagrams is

7 , 12 , 17 ,..

note the pattern increases by 5 each time , then continue by adding 5 to the previous value.

4th = 17 + 5 = 22

5th = 22 + 5 = 27

6th = 27 + 5 = 32