Are the ratios 6:3 and 2:1 equivalent?

Answer: 1.08421508 - 0.290514556 i

Step-by-step explanation:

The 6th root of a number is the number that would have to be multiplied by itself 6 times to get the original number

(-(2×i)) = 1.08421508 - 0.290514556 i

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Answer: 3

happy learning

Answer:

B.

Step-by-step explanation:

From the point (-1,0) the next point on the graph is up 3, right 1, making the slope a positive 3.

Answer:

Below

Step-by-step explanation:

You can use this formula to calculate the mass of an object

     Mass = Volume x Density

Plugging everything in....

     Mass = ( 1.2cm^3 ) ( 0.6g/cm^2 )

              = 0.72 g

Hope this helps!

Answer:

#9. Segment DB

#10 Segment CA

#11. Ray EA

#12. Ray EB, Ray EC, Ray ED, Ray EA  

#13 Ray EA & Ray EC

#14. Ray EB and Ray EC

Step-by-step explanation:

For future reference, if you are asked to give another name for a segment, just flip the letters around (same for rays.).

Opposite Rays are rays that share 1 common endpoint, but extend in opposite directions ( together they make a 180 degree angle). Ray EB & EC share an endpoint, but they do not extend in opposite directions.

Hope this helps!  

Answer:

not now but i will answer

Another name for the angle ABC based on the diagram Given is the angle named FBG.

Using the three letter angle naming convention, the middle letter refers to the vertex which is the exact angle being referred to.

Given the angle ABC, the angle being referred to is B;

Therefore, whenever, B remains in the the middle of the 3 letter angle naming convention, the angle being referred to is the angle B.

Hence, another name for the angle ABC based on the diagram Given is the angle named FBG, as the vertex of both is B.

The angle EBC does not mean the same as ABC because they are opposite.

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Answer:

A. Commutative property

Step-by-step explanation:

The commutative property states that multiplication can be performed in any order. This means that a*b=b*a. Therefore, it does not matter whether [tex]\sqrt{2}[/tex] or 3 is first in the multiplication problem. So, the first answer is correct.

[tex]\\ \sf\longmapsto Area=\dfrac{\sqrt{3}}{4}a^2[/tex]

[tex]\\ \sf\longmapsto Area=\dfrac{\sqrt{3}}{4}(8)^2[/tex]

[tex]\\ \sf\longmapsto Area=\dfrac{64\sqrt{3}}{4}[/tex]

[tex]\\ \sf\longmapsto Area=16\sqrt{3}[/tex]

[tex]\\ \sf\longmapsto Area=16\times 1.732[/tex]

[tex]\\ \sf\longmapsto Area=27.7cm^2[/tex]

Step-by-step explanation:

[tex] - |a - 7| - ( - |a - 9| ) = - a + 7 + a - 9 = - 2[/tex]

Answer:

-2 > x

Step-by-step explanation:

14 <-7x

Divide each side by -7, remembering to flip the inequality

14/ -7 > -7x/-7

-2 > x

The product that provides the better value per sheet is Angel Soft toilet paper.

Each sheet of Angel Soft costs $0.20 whereas each sheet of Charmin costs $0.36.

Data and Calculations:

Charmin has 18 rolls, each with 200 sheets, for $12.97

Angel Soft has 24 rolls, each with 425 sheets, for $19.98

Product      Rolls  Sheets   Total Sheets      Total Cost    Cost per Sheet

                           in a Roll  (rolls x sheet)                   (Total cost/No. Sheets)

Charmin      18     200      3,600 (18 x 200)   $12.97  $0.36 ($12.97/3,600)

Angel Soft  24    425     10,200 (24 x 425)  $19.98  $0.20 ($19.98/10,200)

Thus, Rebecca should go for Angel Soft toilet paper because it provides a better value per sheet than Charmin toilet paper.

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Answer:

x = 130 degrees

Step-by-step explanation:

let's imagine we move the point x further and further to the right (and move the connected lines with it) until we get a flat line that connects the two parallel lines.

in this case we have x = 180 degrees, and the top and bottom angles are both 90 degrees.

so, we have a total of all angles of 180 + 90 + 90 = 360 degrees.

this total had to stay the same no matter how we move x outward or inward.

so, even in the situation in the picture the sum of all 3 angles must be 360 degrees.

therefore we get

360 = 120 + 110 + x

360 = 230 + x

x = 130 degrees

Answer:

2x-3

Step-by-step explanation:

f(x) = 3x-1

g(x)= x+2

(f-g) (x) = 3x-1 - (x+2)

Distribute the minus sign

             = 3x-1 -x-2

 Combine like terms

               = 3x-x -1-2

                =2x -3

Answer:

B. x=2, x=-3

Step-by-step explanation:

Hello,

We are given this system of equations:

y=4-x²

x-y=2

And we want to solve it for x.

There are a couple ways to solve systems of equations, but let's use substitution in this problem, which we will set one variable equal to an expression containing the other variable, use that expression to solve for the variable the expression contains in the other equation, then use the value of the solved variable to find the value of the other variable.

But in this case, we just need to find x, which is just one of the variables, so there's no need to find the values of y.

In x-y=2, subtract x from both sides.

-y=-x+2

Multiply both sides by -1.

y=x-2

Substitute y as x-2 in y=4-x².

x-2=4-x²

Add x² to both sides.

x²+x-2=4

Subtract 4 from both sides.

x²+x-6=0

Now factor using FOIL.

1 (coefficient in front of x) is the sum of the numbers used in the binomials, while -6 is their product.

Two numbers that add up to 1 but multiply to get -6 are -2 and 3.

So now factor:

(x-2)(x+3)=0

Split and solve:

x-2=0

x=2

x+3=0

x=-3

The solutions for x are x=2 and x=-3, which means the answer is B.

Hope this helps!

Answer:

surface area of a prism is

48 km^2

Step-by-step explanation:

| - 5 | + | - 4 |

5 + 4

= 9

| - 6| - 4

6 - 4

2

I hope this answers your question.

Answer:b. (8,-1) is a solution to one equation but not the other, so it is a solution to the system

Step-by-step explanation:

27. Which statement is true about the system

x+3y=11

y=r-7

a. (8,-1) is a solution to both equations, so it is a solution to the system

b. (8,-1) is a solution to one equation but not the other, so it is a solution to the system

C. (8,-1) is a solution to one equation but not the other so it is not the solution to the system

d. (8,-1) is not a solution to either equation, so it is not a solution to the system​

9514 1404 393

Answer:

  x = -2 ±i(√6)/3

Step-by-step explanation:

The formula for the solution of ax²+bx+c=0 is ...

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

When your equation is written in standard form, it is ...

  3x² +12x +14 = 0

so the values needed in the formula are a=3, b=12, c=14.

  [tex]x=\dfrac{-12\pm\sqrt{12^2-4(3)(14)}}{2(3)}=\dfrac{-12\pm\sqrt{-24}}{6}=\dfrac{-12\pm2i\sqrt{6}}{6}\\\\\boxed{x=-2\pm\dfrac{\sqrt{6}}{3}i}[/tex]

Answer:

True

Step-by-step explanation:

The first derivative tells you the slope of the graph at a specific point. If f'(c) =0, then that means that at f(c), the slope of the graph is 0. It is neither going up nor down

The second derivative tells you the slope of the slope of the graph. If f''(c) < 0, this means that the slope is decreasing. This means that going from the left to f(c), the slope is greater than the slope at f(c), and going from f(c) to the right, the slope is less than the slope at f(c).

Therefore, since the slope at f(c) is 0, the slope is positive to the left of f(c) and negative to the right of f(c). This means that the graph is going up until it hits f(c) and then goes down. Because f(c) is greater than the values to the left of it (because it is going up until it hits f(c)) and the values to the right of it (because it is going down past f(c)), f(c) is a local maximum

Hey there!

First, we should subtract them.

90125 - 58478 = 31,647

90125 is 31647 more than 58478.

Hope this helps!

Have a great day!

9514 1404 393

Answer:

  373 miles

Step-by-step explanation:

The difference in latitude is ...

  39.1° -33.7° = 5.4° = 0.54°(π/180°) radians = 0.03π radians

The arc length is given by ...

  s = rθ, where θ is the angle in radians

The length of the arc along the longitude line is ...

  s = (3960 mi)(0.03π) ≈ 373 mi

The distance from Atlanta to Cincinnati is about 373 miles.

A circle is a curve sketched out by a point moving in a plane. The measure of a is 70°. The correct option is B.

A circle is a curve sketched out by a point moving in a plane so that its distance from a given point is constant; alternatively, it is the shape formed by all points in a plane that are at a set distance from a given point, the centre.

In the given circle, the line AC is the diameter of the circle, therefore, the measure of ∠ABC will be 90°.

∠ABC = 90°

This is because a triangle formed on the diameter of the circle such that all the vertices of the triangle intersect the circle, then the angle opposite to the diameter is a right angle.

Now, in ΔABC, the sum of all the angles of the triangle can be written as,

∠ABC + ∠BCA + ∠BAC = 180°

90° + a + 20° = 180°

110° + a = 180°

a = 180° - 110°

a = 70°

Hence, the measure of a is 70°.

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Step-by-step explanation:

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Answer:

Step-by-step explanation:

The given number is 473

The reverse number is 374

The sum is (473 + 274) =  847

The difference is (473 - 274) = 99

9514 1404 393

Answer:

  (18 1/48)π ≈ 56.61 units

Step-by-step explanation:

Arc length is the product of radius and intercepted arc in radians:

  s = rθ

  s = (21 5/8)(5π/6) = (18 1/48)π ≈ 56.61 . . . units

the answer is x+y≤2

The sum of x and y is greater than or equal to 2

Answer:

x+y<_2

Step-by-step explanation:

9514 1404 393

Answer:

  (a)  20

Step-by-step explanation:

Put the numbers in place of the corresponding letters and do the arithmetic.

  4(5) -((-3) +5) +2 = 20 -2 +2 = 20

Answer:

[tex]\frac{(x-3)^2}{4^2} +\frac{(y-1)^2}{6^2} =1[/tex]

Step-by-step explanation:

[tex]9x^{2}+4y^{2} -54x-8y-59=0[/tex]

[tex]9x^{2}-54x+4y^{2} -8y=59[/tex]

Factor 9 and 4 out

[tex]9(x^2-6x)+4(y^2-2y)=59[/tex]

Complete the square, don't forget to add the 2 extra numbers

[tex]9(x-3)^2+4(y-1)^2=59+81+4[/tex]

[tex]9(x-3)^2+4(y-1)^2=144\\[/tex]

Divide everything by 144

[tex]\frac{(x-3)^2}{16} +\frac{(y-1)^2}{36} =1[/tex]

Answer:

Step-by-step explanation:

it's D

Answer:

1526.04

Step-by-step explanation:

the formula for calculating the volume of cone is

V=πr^2(h/3)

Thus,

V = (3.14)(9)^2(18/3)

V = (3.14)(81)(6)

V = 1536.04 yd^3

Rounding off to the nearest tenth, we get

V = 1536 yd^3

Answer:

180 Feet Per Minute

Step-by-step explanation:

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