1. which of the following ordered pairs are equal ?
a. [7,6] and [2+5,3+3]
b. [1,6] and [6,1]
c. [-2,-3] and [-10/5,-6/2]

The total cost of each utility eliminating 450 tons of pollution is $180,000.

To calculate the total cost for each utility to eliminate 450 tons of pollution, we need to multiply the cost per ton of pollution elimination by the number of tons each utility needs to eliminate.

For People's Electric, the cost of eliminating one ton of pollution is $400. So, to eliminate 450 tons, the total cost would be 450 tons * $400/ton = $180,000.

For Municipal Energy, the cost of eliminating one ton of pollution is $350. Again, to eliminate 450 tons, the total cost would be 450 tons * $350/ton = $157,500.

Therefore, the total cost for each utility to eliminate 450 tons of pollution is $180,000 for People's Electric and $157,500 for Municipal Energy.

The cost calculation is based on the given information that each utility is provided with 450 pollution permits by the government. These permits allow them to legally produce a ton of pollution. By setting a limit on the number of permits, the government aims to reduce pollution by half. The utilities have the option to trade permits with each other.

In this scenario, People's Electric has a higher cost of eliminating pollution per ton compared to Municipal Energy ($400 vs. $350). It means that People's Electric would find it more expensive to reduce pollution through internal measures like investing in cleaner technology or implementing environmental initiatives. On the other hand, Municipal Energy has a lower cost, indicating that they have relatively more cost-effective methods for pollution reduction.

Given these costs, it is more beneficial for People's Electric to purchase permits from Municipal Energy rather than eliminating the pollution themselves. By purchasing permits, People's Electric can meet the pollution reduction target at a lower cost. Conversely, Municipal Energy can generate additional revenue by selling their permits.

This permit trading mechanism allows for cost efficiency in achieving the government's pollution reduction goal. The total cost for each utility is determined by multiplying the cost per ton of pollution elimination with the number of tons they need to eliminate.

Learn more about the Pollution

brainly.com/question/23857736

#SPJ11

The correct order of the steps used to derive the identity is (A.) 4, 3, 5, 1, 2.

The trigonometry identity is given as:  tan(2x)

When the tangent formula is applied, we have: Tan (2x)  = Sin (2x)/Cos (2x)......................(4)

Expand Sin (2x) and Cost 2x)

Tan (2x) = 2 Sin (x) Cos (x)/Cos (x) - Sin²(x)..........................(3)

It can be inferred therefore that the list that obeys the above order is:
Option (a) 4, 3, 5, 1, 2.

Learn more about identity:
https://brainly.com/question/24377281
#SPJ1

Full Question:²

What is the correct order of the steps used to derive the identity?

A.) 4, 3, 5, 1, 2

B.) 4, 5, 3, 1, 2,

C.) 3, 4, 5, 1, 2

D.) 3, 4, 1, 5, 2

The mode of the given data is equal to bowls of spaghetti.

Given the following data:

In Mathematics, a mode can be defined as a statistical terminology that is used to denote the value that appears most often or repeatedly occurring in a given data set.

This ultimately implies that, a mode represents the value (number) with the highest frequency. In this exercise, the bowls of spaghetti represents the mode of the given data.

Read more on mode here: https://brainly.com/question/542771

I don't know the correct answer but I know its not 0.60 watts

Answer:

it is 3.6 watts

Step-by-step explanation:

there is no explanation but if needed proof i will try to post a picture of it

The correct answer is option B. The prediction made in part (a) is an estimate of the mean well-being score for all individuals whose commute is 30 minutes, and the prediction made in part (c) is an estimate of the well-being score for the individual, Jane, whose commute is 30 minutes.

(a) To predict the mean well-being index composite score of individuals with a commute time of 30 minutes, we substitute x = 30 into the regression equation:

y = -0.0456(30) + 69.2237

Calculating this, we get:

y ≈ 67.86

So, the predicted mean well-being index composite score for individuals with a commute time of 30 minutes is approximately 67.86.

(b) To construct a 90% confidence interval for the mean well-being index composite score of individuals with a commute time of 30 minutes, we use the formula:

CI = y ± t * SE

where t is the critical value for a 90% confidence level (which can be obtained from the t-distribution table) and SE is the standard error of the estimate.

Using the given standard error of the estimate (SE = 0.3485) and the appropriate t-value, we can calculate the confidence interval.

(c) To predict the well-being index composite score of Jane, whose commute time is 30 minutes, we directly substitute x = 30 into the regression equation:

y = -0.0456(30) + 69.2237

Calculating this, we get:

y ≈ 67.86

So, the predicted well-being index composite score for Jane, whose commute time is 30 minutes, is approximately 67.86.

(d) To construct a 90% prediction interval for the well-being index composite score of Jane, whose commute time is 30 minutes, we use the formula:

PI = y ± t * SE * √(1 + 1/n)

where t is the critical value for a 90% confidence level (which can be obtained from the t-distribution table), SE is the standard error of the estimate, and n is the sample size.

Using the given values, we can calculate the prediction interval.

(e) The difference between the predictions made in parts (a) and (c) is that in part (a), we are predicting the mean well-being index composite score for all individuals with a commute time of 30 minutes, while in part (c), we are predicting the well-being index composite score for the specific individual, Jane, whose commute time is also 30 minutes.

Learn more about score here:-

https://brainly.com/question/16858096

#SPJ11

so because im kind ill help:

Answer:

a=12

b=17

c=7

d=-3

Step-by-step explanation:

nope, i just guessed

The solution must be concise, the maximum value of y can be found by following the above steps. To find the maximum value, you'll need to analyze the resulting function for any critical points or turning points. The maximum value of y will occur at the highest turning point in the given interval.

To find the maximum value of y in the given initial value problem y'' + y = -sin(2x) with the conditions y(0) = 0 and y'(0) = 0, we can follow these steps:
1. Identify that the given problem is a second-order homogeneous linear differential equation with constant coefficients.
2. Find the complementary function by solving the homogeneous equation y'' + y = 0.
3. Apply the method of variation of parameters to find the particular solution for the non-homogeneous equation.
4. Combine the complementary function and the particular solution to obtain the general solution of the given problem.
5. Apply the initial conditions y(0) = 0 and y'(0) = 0 to find the constants in the general solution.
6. Analyze the solution to determine the maximum value of y.
Since the solution must be concise, the maximum value of y can be found by following the above steps. To find the maximum value, you'll need to analyze the resulting function for any critical points or turning points. The maximum value of y will occur at the highest turning point in the given interval.

To know more about sin(x) visit :

https://brainly.com/question/2321050

#SPJ11

The graph of the growth function is a straight line with points (0, -8) and (2, -2).

To explain it further, the growth function G(x) = -8 + 3x represents the relationship between the number of sunny days (x) in three months and the corresponding plant growth (G).

The G-intercept, which is the point where the graph intersects the y-axis, is represented by the point (0, -8).

This means that when there are no sunny days (x = 0), the plant growth is at -8.

Another point on the graph can be obtained by selecting a value for x and calculating the corresponding value for G(x).

For example, if we choose x = 2, substituting it into the equation gives us G(2) = -8 + 3(2) = -8 + 6 = -2. So, the point (2, -2) represents the plant growth when there are 2 sunny days in three months.

By plotting these two points on a coordinate plane and connecting them with a straight line, you can visualize the graph of the growth function.

Learn more about growth function

brainly.com/question/29399755

#SPJ11

When a parallelogram is reflected in an axis, the resulting image is also a parallelogram, with the same area and opposite angles.

To learn more about parallelograms refer to:

https://brainly.com/question/970600

#SPJ1

Answer:

27

Step-by-step explanation:

so what you need to do is divide 82 and 3 and you get 27.33333333333333 and we know that you can't have part students so you round and that leaves you with 27 people.

Answer:

27

Step-by-step explanation:

Answer:

Step-by-step explanation:

Answer:

182 + 5t \(\geq\) 500

Step-by-step explanation:

The student whο scοred 428 will nοt be admitted tο the schοοl because their scοre did nοt fall in the tοp 30% οf the distributiοn.

The gathered data is arranged in tables based οn frequency distributiοn. The infοrmatiοn cοuld cοnsist οf test results, lοcal weather infοrmatiοn, vοlleyball match results, student grades, etc. Data must be presented meaningfully fοr understanding after data gathering. A frequency distributiοn graph is a different apprοach tο displaying data that has been represented graphically.

Tο find the z-scοre οf the student whο scοred 428, we can use the fοrmula:

z = (x - μ) / σ

where x is the student's scοre, μ is the mean οf the distributiοn (400 in this case), and σ is the standard deviatiοn οf the distributiοn (60 in this case).

Plugging in the values, we get:

z = (428 - 400) / 60 = 0.467

Since the z-scοre οf the student is less than 0.524, which is the z-scοre cοrrespοnding tο the tοp 30% οf the distributiοn, we can cοnclude that the student did nοt scοre in the tοp 30%.

Therefοre, the student will nοt be admitted tο the schοοl based οn the admissiοn criteria οf scοring in the tοp 30%.

Hence, the student whο scοred 428 will nοt be admitted tο the schοοl because their scοre did nοt fall in the tοp 30% οf the distributiοn.

Learn more about frequency distribution, by the following link

https://brainly.com/question/16698786

#SPJ1

Answer:

The value of a is 15.

Step-by-step explanation:

First, you have to find the total interior angles of the polygon using the formula, sum = (n-2)×180°, where n represents the number of sides :

sum = (n-2)×180°

sum = (5-2)×180°

sum = 540°

Given that the sum of the interior angle is 540° so in order to find the value of a, you have to add up all the angles in terms of a :

3a + 150 + 8a + 6a + 9a = 540

26a + 150 = 540

26a = 390

a = 390 ÷ 26

a = 15

Answer:

D

Step-by-step explanation:

let the 2 equal pieces be x then the other 3 are x + 2 , so summing gives

x + x + x + 2 + x + 2 + x + 2 = 31 , that is

5x + 6 = 31 ( subtract 6 from both sides )

5x = 25 ( divide both sides by 5 )

x = 5

Then the large pieces are x + 2 = 5 + 2 = 7 cm

Answer:

4 metters por el significado

Answer:

v = 1

Step-by-step explanation:

v -10= -9

Add 10 to each side

v -10+10= -9+10

v = 1

To find the work done in pumping the entire contents of the fuel tank into the tractor, we need to calculate the potential energy difference between the initial position of the gasoline in the truck's tank and its final position in the tractor's tank.

Given:

- Diameter of the cylindrical gasoline tank: 4 feet

- Length of the cylindrical gasoline tank: 5 feet

- Opening on the tractor tank is 5 feet above the top of the tank in the truck

First, let's calculate the volume of the cylindrical gasoline tank using the formula for the volume of a cylinder:

Volume = π * (radius^2) * height

The radius of the tank is half the diameter, so the radius is 4 feet / 2 = 2 feet.

Volume = π * (2^2) * 5 = 20π cubic feet

Since the entire contents of the fuel tank need to be pumped, the volume of gasoline to be pumped is 20π cubic feet.

To calculate the work done in pumping the gasoline, we need to find the vertical height through which the gasoline is lifted. This height is the sum of the height of the tank and the distance between the top of the tank and the opening on the tractor tank.

Height = 5 feet + 5 feet = 10 feet

The work done in pumping the gasoline can be calculated using the formula:

Work = Force × Distance

In this case, the force is the weight of the gasoline, and the distance is the height through which it is lifted. To calculate the weight of the gasoline, we need to know the density of gasoline. The density of gasoline can vary, but an average value is around 6.3 pounds per gallon.

Let's convert the volume of gasoline from cubic feet to gallons:

1 cubic foot = 7.48052 gallons (approximately)

Volume in gallons = 20π * 7.48052 ≈ 149.61π gallons

Weight of gasoline = Volume in gallons * Density of gasoline

Assuming the density of gasoline as 6.3 pounds per gallon:

Weight of gasoline = 149.61π * 6.3 ≈ 940.06π pounds

Finally, we can calculate the work done:

Work = Weight of gasoline * Height

Work = 940.06π * 10 ≈ 9400.6π foot-pounds

Therefore, the work done in pumping the entire contents of the fuel tank into the tractor is approximately 9400.6π foot-pounds.

Learn more about Work here:

https://brainly.com/question/29050812

#SPJ11

(a) The probability that it loses money on a single policy is 0.025

(b) The probability that the company makes a profit on these policies is 3.75%

Here we have given that that an insurance company found that 2.5% of male drivers between the ages of 18 and 25 are involved in serious accidents annually.

Now for a single policy as we are given the probability of accident here is calculated as,

=> 25/1000 = 0.025

Where as suppose that the company writes 1,000 such policies to a collection of drivers, then the probability that the company makes a profit on these policies is calculated as,

=> 2000 - [65,000 x 25/1000]/100

=> [2000 - 1625]/100

=> 375/100

=> 3.75%

To know more about Probability here.

https://brainly.com/question/11234923

#SPJ4

Answer:

8.66

Step-by-step explanation:

15/sqrt(3) = 8.66 (to nearest hundreth)

for the angle measures where cos(0) = 0, sin(x) equals 1 for π/2 radians and -1 for 3π/2 radians.

cos(0) = 0 when the angle is π/2 or 3π/2 radians.

To label the corresponding points on the unit circle, we can use the following conventions:

The angle 0 radians (or 0 degrees) starts at the positive x-axis and goes counterclockwise.

The angle π/2 radians (or 90 degrees) is at the positive y-axis.

The angle π radians (or 180 degrees) is at the negative x-axis.

The angle 3π/2 radians (or 270 degrees) is at the negative y-axis.

So, for cos(0) = 0, the corresponding angle measures are π/2 and 3π/2 radians. On the unit circle, these correspond to the points (0, 1) and (0, -1), respectively.

the values of sin(x) for these angle measures:

sin(π/2) = 1

sin(3π/2) = -1

Learn more about angle here:

https://brainly.com/question/28451077

#SPJ1

The average angle that the hill makes with the horizontal is approximately 6.3 degrees, rounded to the nearest tenth of a degree.

To find the average angle that the hill makes with the horizontal, we need to use trigonometry. Specifically, we will use the tangent function, which relates the opposite (in this case, the vertical drop) to the adjacent (in this case, the horizontal distance) of a right triangle.

First, we need to find the length of the hypotenuse, which represents the length of the slope. We can use the Pythagorean theorem:

c^2 = a^2 + b^2

where c is the hypotenuse, a is the vertical drop, and b is the horizontal distance.

In this case, a = 60 ft and b = 550 ft. So:

c^2 = 60^2 + 550^2
c^2 = 304,600
c = √304,600
c ≈ 552.2 ft

Now that we know the length of the hypotenuse, we can use the tangent function:

tan(θ) = opposite/adjacent

where θ is the angle we want to find. In this case, the opposite is the vertical drop (60 ft) and the adjacent is the horizontal distance (550 ft).

tan(θ) = 60/550
tan(θ) ≈ 0.109

To find θ, we need to take the inverse tangent (also known as the arctangent) of 0.109.

θ ≈ arctan(0.109)
θ ≈ 6.3 degrees

To know more about horizontal visit:

https://brainly.com/question/31642256

#SPJ11

Answer:

241.5cm³

Step-by-step explanation:

Volume of the glass = Volume of the cuboid - Volume of the cylinder

Volume of the cuboid = Length * width * height

Volume of the cuboid  =  8cm * 4cm * 10cm

Volume of the cuboid  = 320cm³

Volume of the cylinder = πr²h

Radius r = 5/2 = 2.5cm

height = 4cm

Volume of the cylinder = 3.14(2.5)²*4

Volume of the cylinder = 78.5cm^3

Volume of the glass = 320 - 78.5

Volume of the glass = 241.5cm³

The graph would look like a mirror image of the graph for exponential growth, with the curve decreasing instead of increasing.

Graph is a data structure in computer science that consists of a set of nodes (also referred to as vertices) and a set of edges that connect pairs of nodes. Graphs can be used to represent physical objects, abstract ideas, and relationships between different objects. Graphs are used in a variety of applications such as networking, routing, scheduling, and data structures. Graphs are also used to represent and analyze data in fields such as economics, physics, and computer science.

An exponential graph with the given parameters would have the following properties: The graph would have its y-intercept at (0,-2), and it would have an asymptote at y=2. The graph would have an exponential decay, meaning that it would start off at a high value and gradually decrease as it moves to the right. The graph would appear curved, with the y-intercept occurring at the lowest point on the curve. As the curve moves to the right, the value of y would increase until it reaches its asymptote at y=2. The graph would then remain at a constant value of y=2. The graph would look like a mirror image of the graph for exponential growth, with the curve decreasing instead of increasing.

To know more about graph click-
https://brainly.com/question/19040584
#SPJ1

The solutions to the equation -30x² + 9x + 60 = 0 are x = 5/2 and x = -4/5.

To solve the equation, we can start by bringing all the terms to one side to have a quadratic equation equal to zero. Let's go step by step:

-5/3 x² + 3x + 11 = -9 + 25/3 x²

First, let's simplify the equation by multiplying each term by 3 to eliminate the fractions:

-5x² + 9x + 33 = -27 + 25x²

Next, let's combine like terms:

-5x² - 25x² + 9x + 33 = -27

-30x² + 9x + 33 = -27

Now, let's bring all the terms to one side to have a quadratic equation equal to zero:

-30x² + 9x + 33 + 27 = 0

-30x² + 9x + 60 = 0

Finally, we have the quadratic equation in standard form:

-30x² + 9x + 60 = 0

Dividing each term by 3, we get:

-10x² + 3x + 20 = 0

(-2x + 5)(5x + 4) = -10x² + 3x + 20

So, the factored form of the equation -30x² + 9x + 60 = 0 is:

(-2x + 5)(5x + 4) = 0

Now we can set each factor equal to zero and solve for x:

-2x + 5 = 0 --> x = 5/2

5x + 4 = 0 --> x = -4/5

To learn more on Equation:

https://brainly.com/question/10413253

#SPJ1

The main task for members during the final session is to put into words what has transpired from the first to the final session.

The group's goals should be discussed during the first few meetings, then each member's personal goals should be covered. Even small toddlers can follow and take part in these dialogues. They must be aware that the emphasis will be on defining and exploring particular issues and themes.

Over the years, I've discovered that assisting customers in comprehending what will occur during their initial meeting (often referred to as the "intake session") can be extremely beneficial in putting them at ease and beginning our partnership on a cordial and inviting note.

To know more about  first therapy session  visit:

https://brainly.com/question/28190386

#SPJ4

The value of cos θ is equal to 1/3 when sec θ= √6/2.

Since we are given the value of secant of theta, we can use the relationship between secant and cosine to find the value of cosine of theta.

Let's start by recalling the definitions of secant and cosine functions. The secant of an angle is defined as the reciprocal of the cosine of that angle.

In other words, secθ = 1/cosθ

Conversely, the cosine of an angle is defined as the reciprocal of the secant of that angle.

cosθ = 1/secθ

We are given that secθ= √6/2

We can use this value to find cosθ= 1/secθ

cosθ = 1 / (√6/2)

To simplify this expression, we can multiply both the numerator and denominator by 2/sqrt(6).

cosθ = ((2/√6) / (√6/2) * (2/√6))

cosθ = (2/√6) / 1

cosθ = (2/√6 * √6/√6)

cosθ = 2/6 = 1/3

Therefore, the value of cosθ is equal to 1/3 when secθ = sqrt(6)/2.

For more such questions on cos θ  visit:

https://brainly.com/question/21867305

#SPJ8