Use the distributive property with factoring to find the equivalent expression.
48d + 96g = (d + 2g)

The conductance of a conductor is inversely related to the cross-sectional area of the conductor.

Conductance is directly related to the ease offered by any material to the passage of electric current. Conductance is the opposite of resistance. The higher the conductance, the lower the resistance, and vice versa, the greater the resistance, the less conductance, so both are inversely proportional

Which of the following describes the relationship of conductance to a conductor?

The conductance of a conductor is directly proportional to the length of the conductor.

The conductance of a conductor is directly proportional to the cross-sectional area of the conductor.

The conductance of a conductor is inversely proportional to the square of the length of the conductor.

The conductance of a conductor is inversely proportional to the cross-sectional area of the conductor.

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The steps of scatter plots are mapped as follows :

Step 1: Decide the Two Variables - First of all, we shall have to select the variables between which there exists a material relationship.

Step 2: Collect Data - After selecting the variables, we shall have to collect relevant data to draw meaningful conclusions.

Step 3: Map the Data - After completion of data collection, we shall have to map it on the X and Y axes of the Cartesian Co-ordinate system.

Step 4: The Line of Best Fit - In the next step, we shall have to statistically compute the line of best fit for the scattered data points.

Step 5: Come Up With an Exact Number - In the next step, we shall have to come up with a correlation coefficient. This number is the best metric to understand correlation and lies between -1 and +1.

Step 6: Interpret the Number - In the last step, we shall have to interpret the number. Any data above + or - 0.5 suggests a strong correlation.

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The correct question is:

What are the steps of a scatter plot?

The points that are 3 units from point A and on the same x-coordinate are (5, 9) and (5, 3)

The graph is attached

From the question, we have the following parameters that can be used in our computation:

A = (5, 6)

The coordinates of the  points that are 3 units from point A and on the same x-coordinate are represented as

Point = (x, y ± 3)

So, we have

A' = (5, 6 + 3) and A' = (5, 6 - 3)

Evaluate the like terms

A' = (5, 9) and A' = (5, 3)

Hence, the points are (5, 9) and (5, 3)

See attachment for the graph

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The value of the mathematical statement is (d) 0.9m  - 4.9n - 1

From the question, we have the following parameters that can be used in our computation:

A mathematical statement

The mathematical statement is give as

1.4m + 3.7n +1 subtracted from 2.3m−1.2n

When this is represented as an expression

We have the following representation

2.3m−1.2n - (1.4m + 3.7n +1)

Express properly

2.3m − 1.2n - (1.4m + 3.7n + 1)

Open the brackets

So, we have the following representation

2.3m − 1.2n - (1.4m + 3.7n + 1) = 2.3m − 1.2n - 1.4m - 3.7n - 1

Collect the like terms

So, we have the following representation

2.3m − 1.2n - (1.4m + 3.7n + 1) = 2.3m - 1.4m  − 1.2n - 3.7n - 1

Evaluate the like terms

So, we have the following representation

2.3m − 1.2n - (1.4m + 3.7n + 1) = 0.9m  - 4.9n - 1

Hence, the expression is (d) 0.9m  - 4.9n - 1

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Answer:

A. The initial fee charged by Initial Me is $80.

D. Initial Me charges $8 per T-shirt printed.

E. Monogram Mania charges less per T-shirt printed than Initial Me charges.

F. The initial fee charged by Monogram Mania is $50.

Hope this helps

The Quadratic form is (x² - 1)(x² - 9) = 0 and the value of x is {1, -1, 3, -3}.

What is Quadratic form ?

In mathematics, a polynomial with all terms of degree two is called a quadratic form.

Given, x^4-10x^2+9=0

here, a + b = -10

and, ab = 9

So, a = -1 and b = -9

So, It can be written in Quadratic form as :

(x² - 1)(x² - 9) = 0

Now, we can solve as follows:

       x² - 1 = 0                         and,    x² - 9 = 0

      (x+1)(x-1) = 0                              (x+3)(x-3)=0

         x = ±1                           and, x = ±3

∴ Value of x = {1, -1, 3, -3}

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Answer:

10/15 pounds.

Step-by-step explanation:

14/15-4/15=10/15

The required values are a = 7, b = -2, and c = -4 to make the given expression equivalent to the given expression.

Expressions are defined as mathematical statements that have a minimum of two terms containing variables or numbers.

Consider expression.

3x/(x+2) + 4x/(x-2)

To begin, we factor out an x from both numerators:

3x/(x+2) + 4x/(x-2) = x(3/(x+2) + 4/(x-2))

Then, factor out a common denominator from the two terms in the parentheses:

x(3/(x+2) + 4/(x-2)) = x((x-2)(3/(x+2)) + (x+2)(4/(x-2)))

Then, we can expand and simplify:

x((x-2)(3/(x+2)) + (x+2)(4/(x-2))) = (7x² - 2x)/(x² - 4)

Therefore, we can set a = 7, b = -2, and c = -4 to make the given expression equivalent to the given expression.

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The acute angle of a triangle is an angle that measures less than 90°. Hence, in the triangle ABC, an acute angle is any angle that is smaller than 90°.

An angle is the figure created by two rays whose termini coincide. The measure of an angle is the amount of rotation required to bring one ray onto the other. A degree or angle that is less than 90° is said to be acute. This means that the two rays forming the angle can be brought together without making a full rotation.

A right angle is an angle having a measurement of precisely 90°. A right angle is formed when the two rays are perpendicular to each other, meaning they form a 90-degree angle. A right angle is often symbolized with a small square at the angle's vertex.

If an angle measures more than 90°, it is called an obtuse angle. An obtuse angle is formed when the two rays forming the angle can be brought together by making more than one full rotation. Obtuse angles are larger than right angles, but smaller than straight angles (which measure 180°).

It's important to note that the terms "acute," "right," and "obtuse" are not just limited to angles. They can also be used to describe other geometric shapes, such as triangles and circles. In these cases, the definitions may vary slightly, but the basic concept remains the same.

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Jody has 20 tropical fish and Phillip has 2x = 2*20 = 40 tropical fish.
Together, Phillip and Jody have 20 + 40 = 60 tropical fish.

Let x be the number of tropical fish Jody has.
We know that Phillip has twice as many tropical fish as Jody, so Phillip has 2x tropical fish.
We also know that after giving Jody 10 tropical fish, Phillip would have half as many as Jody, so 2x - 10 = x/2.

Solving for x, we get:
x = 20

So Jody has 20 tropical fish and Phillip has 2x = 2*20 = 40 tropical fish.
Together, Phillip and Jody have 20 + 40 = 60 tropical fish.

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The simple interest is 7% per year.

Simple interest is the borrowing amount added only to the principal amount.

The formula to calculate the simple interest is;

                                                 S.I. = P x T x R / 100,

Where S.I. is simple interest, P is principal amount, T is time period and R is interest rate in a year.

Given:

Kevin invests money in an account paying simple interest.

He invests $40 and no money is added or removed from the investment. After one year, he has $42.80.

That means,

A = $42.80, P = $40, T = 1 year.

So,

R =(1/T) (A/P - 1)

R = (1/1)((42.8/40) - 1) = 0.07

R = 0.07

Therefore, interest rate is 7% per year.

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Answer:

for me it is a circle

Step-by-step explanation:

The graph of the square root function is attached.

A relation's domain and range are established, and they consist of all ordered pairs' x- and y-coordinate sets, respectively.

A function's domain and range are its constituent parts. A function's range is its potential output, whereas its domain is the set of all possible input values. Range, Domain, and Function.

Given functions, we can find the domain and range from the curve,

y = √(5x)

graph in Red line,

from curve domain (0, ∞)

range (0, ∞)

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

graph in blue line,

domain(1, ∞)

range (-∞, 0)

vertex (1, 0)

y  = 2[tex]\sqrt{x + 2}[/tex]

graph in green line,

domain (-2, ∞)

range (0, ∞)

vertex (-2, 0)

y = [tex]\sqrt{3x - 4}[/tex]

graph in purple line,

domain (4/3, ∞)

range (0, ∞)

vertex(4/3, 0)

y = [tex]\sqrt{x+ 7}[/tex] - 4

graph in black line,

Domain (-7, ∞)

range (-4, ∞)

vertex (-7, -4)

y = 1 - [tex]\sqrt{2x + 3}[/tex]

graph in orange line,

Domain(-3/2, ∞)

range (-∞, 1)

vertex (-3/2, 1)

Hence the domain and range of functions are as follows.

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Answer:

Yes

Step-by-step explanation:

You can rearange either term to match the other:

3xy can arrange to 3yx and 4yx can become 4xy.

An ex of A term that isnt alike would be x and y.

Hope this helps!

The value of x, here x is non-negative integer (i.e x> 0) is equals to the eight.

We have, the vertices of a triangle are (0, 0), (x, 2x), and (x, 0), where x > 0 .

Area of triangle formed by those vertices = 64 square units . The area of the triangle whose vertices are (x₁ , y₁) ,( x₂ , y₂) and (x₃ , y₃) is 1/2 ∣x₁(y₂ - y₃) + x₂( y₃ - y₁) + x₃ (y₁ - y₂)|.

Comparing the vertices (0, 0), (x, 2x), and (x, 0) with standard vertices (x₁ , y₁) ,( x₂ , y₂) and (x₃, y₃). We get, x₁ = 0 , y₁ = 0 , x₂

= x , y₂ = 2x , x₃ = x and y₃ = 0.

Now, the area of the triangle is equals to

1/2 ∣0(2x - 0) + x( 0 - 0) + x (0 - 2x)| = 64

=> 1/2| 0 + 0 + (-2x)x| = 64

=> 1/2 | - 2x²| = 64

=> 1/2(2x²) = 64

=> x² = 64

=> x = ±√64

=> either x= - 8 or x = 8 , but x > 0

So, value of x is 8.

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The final temperature of the mixture is approximately 4.2°C.

1. Calculate the total heat capacity of the calorimeter:

Heat capacity = Mass x Specific heat capacity of water = 1.0 kg x 4.18 J/g°C = 4180 J/°C

2. Calculate the heat lost by the water:

Heat lost = Mass of water x Specific heat capacity of water x (T_final - T_initial)

= 1.0 kg x 4.18 J/g° C x (4.2°C - 20°C)

= -41360 J

3. Calculate the heat gained by the ice:

Heat gained = Mass of ice x Specific heat capacity of ice x (T_final - T_initial)

= 1.0 g x 2.09 J/g° C x (4.2°C - 0°C)

= 8.36 J

4. Calculate the final temperature of the mixture:

Final temperature = (Heat lost + Heat gained) / Heat capacity

= (-41360 J + 8.36 J) / 4180 J/°C

= 4.2°C

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31 students eighth graders take only a math class and not a foreign language class

The computation of eighth graders take only a current events class and not a foreign language class is shown below:-

We will assume the x that shows the number of students which we will take  both languages

So, the equation will be

70 + 54 - x = 93

-x = 93 - 124

x =  31 students

So the number of eighth graders only take a current event class is

= 70 - 39

= 31 students

31 students eighth graders take only a math class and not a foreign language class

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A) In the first case where we don't count the baggage fee, the percent increase is 53.3%

B) In this case the percent increase is 43.6%

We can find the percent increase using the following formula:

100%*(final price - initial price)/initial price

Here we know that:

final price = $345

Initial price = $225

Then the percent increase is:

100%*($345 - $225)/$225 = 100%*0.533 = 53.3%

So the price of the ticket increased by 53.3%

b) If we also count the $50 for the baggage fee with the new ticket price, then the increase is:

100%*($345 + $50 - $225 - $50)/($225 + $50) = 100%*0.436 = 43.6%

Where the $50 fee would be counted on the initial and final price, that is why it appears twice.

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She can generate one of 30 results by tossing a coin, rolling a fair die with six sides labeled 1 through 6, and spinning a spinner with multiple equal-sized sections marked Walk, Run, and Stop.

We only apply the basic concept of counting. According to this rule, the number of options for both occurrences is equal to p x q if there are p possibilities once per event as well as q possibilities for just a second event. This formula can be expanded to include more events.

Let's say there are p possible outcomes when a coin is flipped based on the information provided. Therefore, p=2 because there are two alternative results, heads or tails.

Let q represent the result of a fair die that is shaped like a six-sided cube.

Labeled 1 to 6. So, q = 6.

and let r represent the results of spinning a wheel with three equally sized sections marked Walk, Run, and Stop. then, r = 3.

∴ Total possible outcomes  

= 2×6×3

= 36 outcomes

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Answer:

x = 2y+4

y = 3x2 squared 2

x = y

Step-by-step explanation:

Answer: (-b + a, b + a).

Step-by-step explanation:

To find the radius of convergence of the series, we use the formula:

R = 1/limsup|bn|^(1/n)

To find the interval of convergence, we can use the following:

If R > 0, the series converges for all |x-a| < R and diverges for |x-a| > R.

If R = 0, the series converges only at x = a and diverges for all other values of x.

If R = ∞, the series converges for all values of x.

Therefore, the interval of convergence of the series is (-R + a, R + a).

In this case, the radius of convergence R is given as b, and the interval of convergence is (-b + a, b + a).

The amount of markup if markup to 40% is nullified by giving some discount of Rs. 980 is Rs 280.

The markup, expressed as a percentage of cost, is the difference between a product's selling price and its cost.

The markup of 40%

Let's Assume the cost price = Rs 100C

Calculate the markup as shown below,

Mark up = (40 / 100) 100C = Rs 40C

Marked price = 100C + 40C = Rs 140C

Hence, 140C = 980

C = 7

Thus, markup price = 7 × 40 = Rs 280

Therefore, the amount of markup if markup to 40% is nullified by giving some discount of Rs. 980 is Rs 280.

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The profit is Rs. 200.

The pricing system in which a commodity's (goods or services') price is lower than its listed price is referred to as a "discount." Simply put, "discount" refers to a percentage of the advertised price. A discount is a type of price reduction on products that is seen in consumer transactions. In these transactions, buyers propose a percentage of rebates on various products to increase sales. A discount is the seller's offer of a discount to the buyer.

Given marked price = Rs. 800

discount % = 10%

discount = 10% of 800

discount = 800 x 0.1 = 80

selling price = marked price - discount

selling price = 800 - 80 = Rs. 720

The dealer makes a profit of 20% means is selling the article at 120%.

120%=720

1%=6

Hence, 100%=600

Thus, the cost price of article= 600

profit  = SP - CP = 800 - 600

profit  = Rs. 200

Hence profit is Rs. 200.

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The value of m is  12. The metric system as well as the International Systems with Units both employ the meter as a unit of length (m).

The meter (m), also known as the word "meter," is a unit of length that is used by both the International Systems with Units and the metric systems (SI). It is converted to a measurement of approximately 39.37 inches by both the British Imperial and The us Customary systems.

M is measured at 12.

The metric system as well as the International Standards of Units both employ the metre as a unit of length (m).

In line with the altitude theorem;

24/n = n/6

Cross multiply

24 * 6 = n²

144 = n²

Swap

n² = 144

n = √144

n = 12

As a result, n has a value of 12.

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Answer:

125250

Step-by-step explanation:

S(n)=( (a(1) + a(n)) ×500 ) ÷ 2

S(500) = (501 ×500) ÷ 2 = 125250

As they are symmetric around the graph's origin, cosine and secant are even functions.

This indicates that the resulting graph will be identical to the original graph if you reflect it around the x-axis. This is due to the fact that sec(x) = sec(-x) and cos(x) = cos(-x).

Because their values are the same for both positive and negative angles, the cosine and secant functions are even. This indicates that the cosine and secant of any given angle will be identical to one another for any given angle, as will the cosine of that angle and the secant of that angle. They are useful for a wide range of tasks because of this property, such as resolving differential equations and working with periodic functions.

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Answer:

x = 33

Step-by-step explanation:

67 = 2x + 1

66 = 2x

x = 33

2(33) + 1 = 67

A part of a line that has 1 endpoint and extends indefinitely in only one direction is called a ray.

A ray is named using its endpoint first, and then any other point on the ray

Properties of ray:

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