Which equation represents the ellipse with vertices located at (3,-3) and (3,-13) and foci at (3,-5) and (3,-11)?​

Weighted vote is the policy of law-making where each representative has a variable voting power.

A policy- or law-making body may use weighted voting, where each representative has a variable voting power (weighted vote) based on the number of principals who have designated them as their proxy or the size of the electorate they represent.

The challenge of distributing resources fairly among a group of individuals is to ensure that each person is given their fair share. This is fair division.

Representatives are apportioned among the states in order to create a fair split or distribution. This is apportionment.

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The measure of m∠MSP as represented in the image attached is 74 degrees.

An equation is an expression that shows the relationship between two or more numbers and variables.

An angle is formed from the intersection of two or more lines. Types of angles are acute, obtuse and right angle.

From the image shown:

m∠MSN + m∠MSP = 180° (sum of angles in a straight line)

106 + m∠MSP = 180°

m∠MSP = 74°

The measure of m∠MSP as represented in the image attached is 74 degrees.

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Step-by-step explanation:

f(x) = 4x + 15

6x - 3

if x = -1 (replace x with -1 )

f(-1) = 4(-1) + 15

6(-1) -3

= -4 + 15

-6 -3

= -11

-9

"minus cancel each other when dividing"

Answer = 11

9 or 1.22

Hope this helps ...:⁠-⁠)

the value of y for the given circle will be 1 / 50 ( approx).

We are given a unit circle.

So, we get that:

centre = (0, 0)

Equation of the circle will be

x² + y² = 1

Now, we have a point (- 17 / 20, y)

Substituting the values in the equation, we get that:

(- 17 / 20)² + y² = 1

343 / 400 + y² = 1

y² = 57 / 400

y = 1 / 50 ( approx)

Therefore, we get that, the value of y for the given circle will be 1 / 50 ( approx).

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Answer: top one is 111 dont know bottom

Step-by-step explanation:

<3

Answer:

  700 mL

Step-by-step explanation:

Lena wants to know how much of solution B she uses to obtain a mixture of solution A with 20% alcohol and solution B with 17% alcohol that contains 400 mL less of solution A, and has 179 mL of alcohol in it.

Let b represent the number of mL of solution B in the mixture. Then (b-400) will be the number of mL of solution A. The number of mL of alcohol in the mix is ...

  0.20(b -400) +0.17b = 179

Simplifying the equation gives ...

  0.37b -80 = 179

  0.37b = 259 . . . . . . add 80

  b = 700 . . . . . . . . divide by 0.37

Lena uses 700 mL of solution B (17%) for the resulting mixture to have 179 mL of pure alcohol.

__

Additional comment

That means there will be 300 mL of solution A, and the contributions from each solution are ...

According to the solving the LHS = RHS this shows the equality symmetric property.

52 = 52.

LHS is an informal shorthand again for the left-hand side of the an equation in mathematics. Likewise, RHS refers to the right-hand side. Because equality is symmetric, both sides share the same value, expressed differently.

Given the "equality" (=) relation and a = b, if b = a holds true for all a and b, equality is said to be symmetric. For all of a and b, the assertion is TRUE (no counterexample can be found). This is known as the equality symmetric property.

-21-17+25+65=52

Proving that both LHS = RHS :

-21-17+25+65=52

-21-17+25+65=52

- 38 + 90 = 52

52 = 52

So,

LHS = RHS

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Answer: $72

Step-by-step explanation:

Oddly worded question but if I understand it correctly we need to find the marked down price and subtract $360 from it.

It is 10% off so an easy way to do the math is to find what 90% of $480 dollars is.

.90 * 480 = $432

Then we subtract $360 from this sale price.

$432 - $360 = $72

Answer:

x=7

7-7/7-6=0

0/1=0

Zero divided by anything=0

The capacity of the given container is 6.3 liters.

So, 4(3/5) + 1(7/10):

Therefore, the capacity of the given container is 6.3 liters.

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Answer:1,3

Step-by-step explanation: it is reflecting over the x-axis, not the y-axis. when answering these questions, keep in my what axis you're working with. hope this helps.

The quotient of the given fraction 45/9 is 5.

Quotient:

So, the quotient of 45/9 is 5 as:
45 ÷ 9 = 5

(Refer to the picture given below for working)

Therefore, the quotient of the given fraction is 5.

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Answer: 12x+17

Step-by-step explanation:

(hog)(x)=

h(g(x))=

h(4x+5)=

3(4x+5)+2=

12x+15+2=12x+17

Answer:

honestly, I don’t think I’m right

Step-by-step explanation:

Answer:

if you want to multiply its 1.83 x 47 = 86.01

Step-by-step explanation:

A library's design is scaled at  [tex]\frac{1}{3}[/tex] inch = 1 feet. The library in the drawing is 12 inches height. The library's true height is 432 inches, or 36 feet.

Given that,

A library's design is scaled at  [tex]\frac{1}{3}[/tex] inch = 1 feet.

The library in the drawing is 12 inches height.

We can take  [tex]\frac{1}{3}[/tex] inch = 1 feet

1 inch=3 feet = 36 inches.

36 inches is the actual height .

Now actual height of the library is

Multiplication of the height of the library in the drawing is 12 inches and the new height 36 inches.

12[tex]\times[/tex]36=432 inches

We can say 432 inches is equal to 36 feet.

Therefore, 432 inches or 36 feet is the actual height of the library.

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Answer:

I know that the inequality is 85-4x<40

but im not sure on how to solve it, i think the answer is  12

becuase

85-4(12)< 40

85-48<40

37<40

Step-by-step explanation:

Answer:  85 - 4x < 40; 11

Step-by-step explanation:

85 - 4x < 40

-85          -85

    - 4x < -45  

[When dividing a negative number, change the inequality sign to the opposite sign.]

         x >  11.25  

The the cars was integer, and x is greater than 11.25, therefore, Mr.Schwantz will need to order more wheels after building 11 cars.

Answer:

c) 5

Step-by-step explanation:

Solving for the value of x,

→ 3x + 9 = 24

→ 3x = 24 - 9

→ x = 15/3

→ [ x = 5 ]

Hence, option (c) is correct.

Answer:

A

Step-by-step explanation:

x + 2 + [ 4x - [tex]\frac{x^2+6x+8}{x+4}[/tex] ] ← factorise the quadratic on the numerator

= x + 2 + [ 4x - [tex]\frac{(x+4)(x+2)}{x+4}[/tex] ] ← cancel (x + 4) on numerator/denominator

= x + 2 + (4x - (x + 2)

= x + 2 + 4x - x - 2 ← collect like terms

= 4x

The dimensions of the original rectangle is a length of 56.66 meter and width of 23.33 meter.

Perimeter is the sum of all the sides of a two dimensional polygon or shape.

For first rectangle let x represent width:

Length = 2x + 10; width = x

Perimeter = 2(length + width)

Perimeter = 2(2x + 10 + x) = 6x + 20

For second rectangle:

Length = 2x + 10 + 100 = 2x + 110; width = x - 20

Perimeter = 2(length + width)

Perimeter = 2(2x + 110 + x - 20) = 6x + 180

the perimeter of the new rectangle would be twice the perimeter of the original rectangle. Hence:

6x + 180 = 2(6x + 20)

x = 23.33 m, length = 2x + 10 = 56.66

The dimensions of the original rectangle is a length of 56.66 meter and width of 23.33 meter.

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Answer:

2

90

Step-by-step explanation:

54 / 3 = 18

so 18 licks per 1 lollipop.

18 + 18 = 36 (aka 2 lollipops).

18 x 5 = 90 (equivalent to 5 lollipops).

Answer:

36/2

90/5

Step-by-step explanation:

54/3=18 36/2=18 and 90/5= 18

The operation used in the problem is Multiplication property of equality and the value of x is -14

-3.5 = x/4

- 3.5 × 4 = x

-14 = x

Check:

-3.5 = x/4

- 3.5 = -14 / 4

-3.5 = -3.5

Therefore, the operation used in the problem is Multiplication property of equality and the value of x is -14

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This simplifies to

[tex]|(6-x)-9|\\\\\boxed{|-x-3|}[/tex]

Answer:

Turn the 2 1/2 into the improper fraction which is 5/2. Now you can do 5/2 divided by 1/2. when diving turns the 1/2 to 2/1 and multiply. so 5/2 x 2/1= 1.25. 1.25 as a fraction is 1 1/4

Based on the calculations, the angle (θ) of the grade to the nearest hundredth is equal to 3.38 degrees.

An equation can be defined as a mathematical expression which shows that two (2) or more thing are equal.

In Science, grade resistance simply refers to force in pounds and can be modeled by the following equation:

F = Wsinθ

Where:

Making theta (θ) the subject of formula, we have:

θ = sin⁻¹(F/W)

Substituting the given parameters into the formula, we have;

θ = sin⁻¹(160/2710)

θ = sin⁻¹(0.0590)

Theta, θ = 3.38 degrees.

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14  is the perimeter of the rectangle .

What does a rectangular 's perimeter mean?

The answer provided below has been developed in a clear step by step manner.

Step: 1

Given,  A(x) = x(14-x)

Comparing with A = lw , we have

Length , l = x and

Width , w = 14 - x

Step: 2

We know,

Perimeter of rectangle ,

p = 2( l + w )

p = 2 ( x + 14 - x )

p = 28

Hence,

Perimeter of rectangle = 14

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The measure of AM and BM from the given coordinate points are 8.37 units respectively

The formula for calculating the distance between coordinate points is expressed according to the equation

D = √(x₂-x₁)²+(y₂-y₁)²

Given the coordinate points A (-3, -12) and M(-5, -4). The measure of the distance AM is expressed as:

AM = √(-4+12)²+(-5+3)²

AM = √(8)²+(-2)²

AM =  √70

AM = 8.37 units

Similarly;

Given the coordinate points B(-7, 4). and M(-5, -4). The measure of the distance AM is expressed as:

BM = √(-4-4)²+(-5+7)²

BM = √(-8)²+(2)²

BM =  √70

BM = 8.37 units

Hence the measure of AM and BM from the given coordinate points are 8.37 units respectively

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The two integers where the value of square root of 11 lies is between 3 and 4.

It should be noted that the information is to find the two integers where the value of square root of 11 lies.

It should be noted that the square root of 11 is 3.33.

It should be noted that 3.33 lies between 3 and 4.

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Between which two integers is the value of square root of 11.

Answer: f(0)=40/x

Step-by-step explanation:

f(n)=2xf(n-1)-50

f(1)=2xf(1-1)-50

f(1)=2xf(0)-50

30=2xf(0)-50

2xf(0)=80

f(0)=80/(2x)

f(0)=40/x