In September 2016, the cost of gasoline in Berlin was around 1.29 euros per liter. What would the equivalent cost be in U.S. dollars per gallon? 1 U.S. dollar ≈ 0.896 euros 1 gallon ≈ 3.785 liters

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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Answer: log4=0.60206    log15=1,17579

Step-by-step explanation:

[tex]log4=\\log2^2=\\2log2=\\2(0.30103)=\\0.60206\\\\log15=\\log(3*5)=\\log3+log5=\\0.47712+0.69897=\\1.17579[/tex]

So the best actor's age deviates from the mean, he receives the award at the most extreme age.

In response to this question:

Whichever z-score does have the highest absolute value, such that, the one that deviates the most from the mean, has a most extreme age.

Best actor: 31 years old, so.

The mean age of the best actors is 42.2 years, with a standard deviation of 8.2 years.

z = (x - μ)/σ

Put the values;

z = (31 - 42.2)/ 8.2

z = -1.36

Best actress:

So, at the age of 42,

The mean of the best actresses is 31.6 years, with a standard deviation of 10.3 years.

z = (x - μ)/σ

Put the values;

z = (42 - 31.6)/10.3

z = 1.01

Thus, Because the best actor's age is further from the mean, he has the most extreme age when receiving the award.

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Answer:

  14

Step-by-step explanation:

You want the greatest common factor of the terms {98ab^3, 84a, 140b, 112ab​}.

There are no variables that are common to all terms. 'a' and 'b' are each common to 3 of the 4 terms, but not all.

The greatest common factor of the constants cannot be larger than the smallest difference of the constants. That difference is ...

  98 -84 = 112 -98 = 14

Since 14 is a divisor of all of the constants, 14 is the greatest common factor.

__

Additional comment

Factoring out the greatest common factor, we have ...

  = 14{7ab³, 6a, 10b, 8ab}

The reasonable domain for this situation is { 1, 2, 3, 4, 5, 6 }.

A set is a well defined collection of objects.Set are represented by many forms two of them are set builder form and roaster form.

According to the given question The cost of a dozen eggs is 2.50 dollars.

At this store you must by them in packs by the dozen and they do not allow you to buy more than 6 dozen eggs at a time,So we can buy eggs in dozen from 1 dozen to 6 dozen.

This can be represented in roaster form by { 1, 2, 3, 4, 5, 6 }.

This can also be represented by set builder form as { x : x ∈ N and 1≤x≤6 }  

where x represents no. of dozens of egg.

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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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Answer: The judge did not follow the speed limit of 65mph because if she did she would have not gotten there in 2 hours. The judge was actually going at 85 mph.

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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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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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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Answer: AC=15

Step-by-step explanation:

AC=AB+BC

AC=12+3

AC=15

Answer:

[tex]\frac{36}{B^2}[/tex]

Step-by-step explanation:

Given:

[tex]AB=12\\BC=3[/tex]

Find:

[tex]AC[/tex]

First, arrange equation 1 to isolate A by dividing both sides by B:

[tex]AB=12\\A=\frac{12}{B}[/tex]

Then, arrange equation 2 to isolate C by dividing both sides by B:

[tex]BC=3\\C=\frac{3}{B}[/tex]

Now, multiply A and C together and simplify:

[tex]AC=\frac{12}{B}*\frac{3}{B}[/tex]

[tex]AC=\frac{36}{B^2}[/tex]

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:

every angle equals 60°

Step-by-step explanation:

the sum of angles of any triangle is 180 so the equilateral triangle have all angles equal so 180 ÷ 3 = 60

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:

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:

132

Step-by-step explanation:

.....................................

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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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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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 ...:⁠-⁠)

This simplifies to

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

With the partial product method the multiplication answer is 4725.

According to the statement

We have to find that the by which strategy for multiplying 75 and 63 should result In the correct product.

So, For this purpose, we know that the

The partial product method involves multiplying each digit of a number in turn with each digit of another where each digit maintains its place.

From the given information:

We have to multiply the numbers 75 and the 63.

Then

According to the above written strategy,

75 = 70+5 and

63 = 60+3

Then

75*63 = (70*60) + (70*3) + (5*60) + (5*3)

then solve it

75*63 = (4200) + (210) + (300) + (15)

75*63 =  4410 +  315

75*63 =  4725.

So, With the partial product method the multiplication answer is 4725.

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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.

Answer:

x=7

7-7/7-6=0

0/1=0

Zero divided by anything=0

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: 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

S(x) + 0.20(x/12) = 0

S(x) = -0.20(x/12) it is a function that represents the discount on the monthly premium for a “good student.

From the question,

A student has a GPA of 3.0 gets good student discount of 20%

Write a function with ‘S’  that represents the discount of the monthly premium for a good student.

S(x) = -0.20(x ÷ 12)

S(x) is a function and student got a discount of 20%.

i.e., 20/100 = 0.20

The function that represents the discount on the monthly premium so x/12  

An expression, rule, or law in mathematics that specifies the relationship between an independent variable and a dependent variable (the dependent variable). In mathematics and the sciences, functions are fundamental for constructing physical relationships.

Hence, it s a function that represents the discount on the monthly premium for a “good student.

S(x) + 0.20(x/12) = 0

S(x) = -0.20(x/12)

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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