How do I find the value of x that make lines u and v parallel

By rearranging the formula using algebraic operations, the value of x is [tex]\frac{y}{4}[/tex] - 1.

When operations like addition, subtraction, multiplication, division, etc. are performed on variables and constants, the result is a mathematical statement known as an algebraic expression.

To find the value of x, use the same operations on both sides of the equation.

For making x the subject  

Divide by 4 on both sides

[tex]\frac{y}{4}[/tex] = (x-1)

On both sides of the equation, add 1.

[tex]\frac{y}{4}[/tex] - 1 = x

As a result, by rearranging the equations, the value of x is [tex]\frac{y}{4}[/tex] - 1.

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We need to know about rate of change to solve the problem. The rate of change of population between 2002 and 2004 is -6.098% . The rate of change of population between 2002 and 2006 is -4.88%

The rate of change of something can be calculated by dividing the difference between the final amount and the initial amount by the initial amount. Rate of change is usually calculated as a percentage. We can calculate rate of change of population per year or between any two years. In this question we need to find the rate of change between 2002 and 2004 and also between 2002 and 2006. The initial population in 2002 is 82 and in 2004 it is 77.

rate of change between 2002 and 2004=[tex]\frac{77-82}{82}[/tex]x100=[tex]\frac{-5}{82}[/tex]x100=-6.098%

rate of change between 2002 and 2006=[tex]\frac{78-82}{82}[/tex]x100=[tex]\frac{-4}{82}[/tex]x100=-4.88%

Therefore the rate of change of population between 2002 and 2004 is -6.098% and the rate of change of population between 2002 and 2006 is -4.88%, the rate of change is negative because the population decreases.

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a) Shelly Lemony's down payment is $24,000.

b) The loan amount is $96,000.

c) The monthly payment is $8,350.89.

d) The finance charge is $4,210.68.

The down payment represents the initial up-front partial payment for the purchase of the equipment on loan.

The down payment reduces the cost of the equipment to the loan amount.  Finance companies demand a down payment to ascertain the buyer's willingness and ability to proceed with the loan arrangement.

It is a sign of commitment to meet the loan contract obligations.

Monthly Pay:   $8,350.89

Total Loan Amount = $96,000.00

Upfront Payment $24,000.00

Equipment loan = $120,000

Number of periods = 12 months

APR = 8%

Total of 12 Loan Payments = $100,210.68

Total Loan Interest = $4,210.68

Total Cost (price, interest, tax, fees) = $124,210.68

Thus, Shelly will make a down payment of $24,000 or 20% of the equipment loan.

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We need to remove either (1, 4) or (1, 1) to create a function.

Relations are formed by two sets, an input set known as domain and an output set known as range and relationships between these sets. A relation is a function if and only if each element from domain is related to only one element of the range. Mathematically speaking, we must satisfy the following proposition:

x → f(x), x → f'(x) ⇒ f(x) = f'(x)

Based on this definition, there are two possibilities to create a function:

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1,3 is the answer I believe. :)

Answer:

193.0 mph

Step-by-step explanation:

The average is defined as the sum of the items divided by the number of items.  In this case the sum is 771.888.  If we divide that by the number of items (4) we get 192.972.  However, our answer typically cannot have more significant digits than the element having the least number of significant digits.  Since one of the numbers has only one digit to the right of the decimal point, we would usually want to round our answer to one place as well.  So 192.972 will round to 193.0.

It is realistic that 3 owners spend $720 a year on their graph

Given that

To find

So, according to the question

We can say that,

3 owners are present and,

A pet's annual cost is $720.

So, the option C (Yes, it is realistic that 3 owners spend $720 a year on their pet(s) ) is correct explanation of it.

Because no fractional value can represent the number of owners. Therefore, having 7.2 owners is not feasible and other options showing only one value. So A, B, and D are wrong answer.

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Answer:

18 gallons

Step-by-step explanation:

Start with x gallons of 70% juice and 18 gallons of 30% juice.

Result: x + 18 gallons of 50% juice

0.7x + 0.3 × 18 = (x + 18)(0.5)

0.7x + 5.4 = 0.5x + 9

0.2x = 3.6

x = 18

Answer: 18 gallons

The rate of change for each set of ordered pairs is:

a. 1/2

b. 3

c. 7

The average rate of change = change in y / change in x.

Average rate of change for (2,3.5), (6,5.5):

Average rate of change = (5.5 - 3.5)/(6 - 2) = 2/4 = 1/2

Average rate of change for (-1,0), (0, 3):

Average rate of change = (3 - 0)/(0 - (-1)) = 3/1 = 3

Average rate of change for (3,-3), (4,4):

Average rate of change = (4 -(-3))/(4 - 3) = 7/1 = 7

Therefore, the rate of change for each set of ordered pairs is:

a. 1/2

b. 3

c. 7

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The equation of the line is x = 25, in accordance with the given conditions.

Given:

To find: Equation of the line.

Finding:

Let the equation of the line be: (y - y') = m (x - x'),

where, (x',y') = point through which the line passes and m = slope of the line.

The slope of the first line = [tex]\frac{1}{0}[/tex] , i.e., the y-intercept of this line does not exist and it is a vertical line.

Hence, the equation of the line is 0 = 1 (x - x')

Thus, the equation of the line => 0 = 1 (x - 25)

=> x = 25.

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The indicated function value is f(6²) = -72

The function definitions are given as

f(x) = -2x

g(x) = 2x+ 5

h(x) = x^2 + 3x - 10

The function f(6²) means that x = 6² in f(x)

So, we have

f(6²) = -2(6²)

Evaluate

f(6²) = -72

Hence, the indicated function value is f(6²) = -72

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i am 11th grade

but why?

1234567890123456789012345678901234567890

The exponential smoothing forecast for next period is 63.2.

A time series forecasting technique called exponential smoothing can be expanded to support data with a systematic trend or seasonal component.

Now,

Given:

To find: Simple exponential smoothing forecast with α = 0.4 for next period.

Finding:

Now, by the concept of exponential smoothing, forecast for next period will be given by:

Ft + 1  = α Dt + (1 - α)F,

where,

Ft+1 = the next forecast,

α = weighing factor,

Dt = actual value for this period,

F = forecast value for the current period,

Substituting the values in the above expression:

=> Ft + 1 = 0.4 (65) + (1 - 0.4) 62

=> Ft + 1 = 26 + 37.2

=> Ft  + 1 = 63.2

Hence the exponential smoothing forecast for next period is 63.2.

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Answer:

I am not sure myself but I think the answer is 2.3 hours per week.

The number of bills received by brady family are 781.

A linear equation is a one-variable equation of a straight line. The variable's only power is 1. Linear equations in one variable with the form an x + b = 0 are solved utilizing basic algebraic operations.

Let x equal the number of letters obtained,

(x - 3) equal the number of bills obtained,

(x + 5) equal the number of advertisements received, and also

the number of magazines did receive is also given (x - 3).

The following equation can be derived:

x + (x - 3) + (x + 5) + (x - 3) = 3131

4x - 1 = 3131

4x = 3132

x = 784

Thus, number of bills received are-

(x - 3) = 784 - 3

number of bills received = 781.

Therefore, the number of bills obtained by brady family are 781.

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Answer:

There will be 18 boys.

Step-by-step explanation:

im assuming you are looking for how many boys are left,I did 60% by 30 = 18

Answer:

there are 18 girls

Step-by-step explanation:

one really cool trick is the total like 30 x 0.60 this will give you the percentage

The ratio of the volume of the cylindrical tank to its surface area will be r / 2.

A cylinder is a closed solid that has two parallel circular bases connected by a curved surface.

Let r be the radius and h be the height of the cylinder.

Then the volume of the cylinder will be

V = π r²h cubic units

Then the surface area of the cylinder will be

SA = 2πrh square units

Then the ratio of the volume of the cylindrical tank to its surface area will be

V / SA = π r²h / 2πrh

V / SA = r / 2

The ratio of the volume of the cylindrical tank to its surface area will be r / 2.

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a. The expression of the amount of phosphorus-32 remaining as a function of time t is A(t) = [tex]6.6\left(\frac{1}{2}\right)^{t / 14}[/tex].

b. The time when 1 gram remaining is 38.1145 days.

The half-life is the amount of time it takes for half of a unstable nuclei to decay. Each substance has its own half-life.

Now, as per the question;

Exponential growth is given by the formula;

[tex]A(t)=A_0(1+r)^t[/tex]

Where,

A(t) = amount at time t.

A₀ = Initial amount of the nuclei (= 6.6)

r = rate of increasing( = -1/2; as decay is always negative)

t = time (= t/14)

Part a. Calculate the expression for the amount of phosphorus-32 remaining as a function of time t as-

Substituting all the values in the equation;

[tex]\begin{aligned}&A(t)=6.6\left(1+\left(-\frac{1}{2}\right)\right)^{t / 14} \\&A(t)=6.6\left(\frac{1}{2}\right)^{t / 14}\end{aligned}[/tex]

This is the requires expression.

Part b. Calculate the time there be 1 gram remaining as;

This time can be written as A(t) = 1.

Substitute the value in the equation.

[tex]\begin{aligned}&A(t)=6.6\left(\frac{1}{2}\right)^{t / 14} \\&1=6.6\left(\frac{1}{2}\right)^{t / 14}\end{aligned}[/tex]

[tex]\left(\frac{1}{2}\right)^{t / 14}=\frac{10}{66}[/tex]

Further solving;

t = 38.1145 days.

Thus, the time taken by phosphorus-32 to remain as 1 gram is 38.1145 days.

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The manufacturing company has decided to be carbon free by 2030. so, it can reduce its pollution rate by using environmentally friendly equipment to achieve this goal.

Pollution:

The term pollution refers any substance that negatively impacts the environment or organisms that live within the affected environment.

Given,

A manufacturing company has decided to be carbon free by 2030.

Here we need to find the solution to achieve this goal.

To achieve this goal the company can take many measures this includes,

To completely switching to alternative sources of energy. The company can reduce its pollution rate by using environmentally friendly equipment.

By making maximum use of renewable energy in the company, in which energy can be emitted using solar energy, windmill etc.

And by planting more and more trees, the amount of oxygen in our environment should be increased.

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Answer:

1. DNE

2. DNE

3. (-2, inf)

4. (-3,-2)

Step-by-step explanation:

Answer:

Step-by-step explanation:

The required question for another student is to find out how many goals will be scored by both teams in 90 minutes if the game.

In mathematics, it deals with numbers of operations according to the statements.

Here,

In order to make the question,
1. In a football match, there are two teams competing, team A scoring 1 goal every 10 mins while team B scores 1 goal in every 15 minutes, so find out how many goals will be scored by both the teams in 90 minutes if the game.

Solution;-
For every ten minutes team score a goal so in 90 minutes,
= 90/10 * 1
= 9
Similarly,
For team B
= 90/15 * 1
= 6
Answer:- Thus team A scores 9 goals in a game and team b scores 6 goals.

Thus, the required question, solution, and answer are mentioned above.

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The expression for the area of a triangle with a height of n and a base of 6 is 6n/2

The formula for calculating the area of a triangle is expressed as:

A = 1/2 bh

where

b is the base of the triangle

h is the height of the triangle

Given the following parameters

base = 6

height = n

Substitute

A = 1/2 × 6 × n

A = 6n/2

Hence the expression for the area of a triangle with a height of n and a base of 6 is 6n/2

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In each game, the probability that player A wins the game is 13/20 and player B wins the game is 7/20.

To find the probability:

Therefore, in each game, the probability that player A wins the game is 13/20 and player B wins the game is 7/20.

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Considering the definition of an equation and the way to solve it, the cost of one hot wing is $0.6.

An equation is the equality existing between two algebraic expressions connected through the equals sign in which one or more unknown values, called unknowns, appear in addition to certain known data.

The solution of a equation means determining the value that satisfies it and the equality must be true.

To solve an equation, keep in mind:

Being "x" the cost of one hot wing, and knowing that:

the equation in this case is:

First customer payment= Second customer payment

8x +4= 10x +2.80

Solving:

4 - 2.80= 10x - 8x

1.2= 2x

x= 1.2 ÷ 2

x=0.6

Finally, the cost of one hot wing is $0.6.

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Answer:

Step-by-step explanation:

Look at the File I attached. The Question says that a car travels 76 km north then 25 km east. Now think of this as the Right angled triangle I attached in the file.

a) Bearing from the staring point to the means the degrees of the part i marked with a question mark.

Now SOH CAH TOA

76 km is the ADJACENT

25 km is the OPPOSITE

and x is the HYPOTENUSE

We have the values of the ADJACENT and the OPPOSITE.

Now see which rule has both, It is TOA(tan rule) which is:

tan(y) = OPPOSITE/ADJACENT     (y is the degrees we will get)

tan(y) = 25/76  ( opposite of the degree we need is 25 and adjacent is 76)

tan inverse(25/76) = y  (inverse will be given as to the power -1 on the calculator)

FINAL ANSWER OF (a) = 18.21°

b) This part is asking for the length of the hypotenuse, which i denoted as x in the attached file.

For this part, you will use the Pythagoras Theorem

Which is :

   a² + b² = c²

Where c is the hypotenuse and a and b are the opposite and adjacent.

So

    76² + 25² = x²

     6401 = x²

  √6401 = x

     x = 80.01

Answer:

x= 12

Step-by-step explanation:

6x = 72 (÷6)

6x/6 = 72/6

x = 12

Answer is

(a) She can buy 7 packages of plain coffee or 5 packages of coffee.

(b) f = [tex]\frac{T- 5.50 p}{7}[/tex]

(c) she can buy 3 packages of  flavoured coffee

(a) she spent on coffee is $ 40

amount of money she spends on coffee is 5.50

then, packages of plain coffee = [tex]\frac{40}{5.50}[/tex] ≈ 7.2

      so she buy 7 packages of plain coffee.

she spent on coffee is $ 40  and amount spends on flavoured coffee is 7

then , packages of flavoured coffee = [tex]\frac{40}{7}[/tex] ≈ 5.7

so she can buy 5 packages of flavoured coffee.

(b)According to question ,

T = 5.50 + 7f

so 7f = T - 5.50

then , f = [tex]\frac{T - 5.50}{7}[/tex]

(c) we get the value of f = [tex]\frac{T - 5.50}{7}[/tex]

given that , f is equal to 3

then,  f = [tex]\frac{T - 5.50}{7}[/tex]

           =   [tex]\frac{T - 5.50}{7}[/tex]×3

we get   =  [tex]\frac{T - 16.5}{7}[/tex]

when T is equal to 40

then , f = [tex]\frac{40 - 16.5}{7}[/tex] ≈ 3.35

so she can buy 3 packages of flavoured coffee.

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The standard deviation is a measure of a collection of values' variance or dispersion. The correct option is C, standard deviation.

The standard deviation is a measure of a collection of values' variance or dispersion. A low standard deviation implies that the values are close to the set's mean, whereas a high standard deviation shows that the values are spread out over a larger range.

Shifting data, by adding a constant to each data value, do not change the standard deviation. This is because the standard deviation is a measurement of how much a group of values varies or is dispersed.

Hence, the correct option is C, standard deviation.

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