f(x)=1/x+2-1 translated 2 units left and one unit down

Tri-County will have to charge approximately $83.1 per MWh to break even.

To calculate the break-even price that Tri-County will have to charge to cover its costs, we need to consider both the fixed costs and the variable costs. The fixed costs are given as $80.1 million per year.

The variable costs are calculated by multiplying the quantity of electrical power sold (150,000 MWh per year to Boulder) by the variable cost per MWh ($20). Therefore, the variable costs amount to 150,000 MWh/year * $20/MWh = $3 million per year.

To cover both fixed and variable costs, Tri-County needs to charge a total amount that equals the sum of these costs. The total cost is $80.1 million + $3 million = $83.1 million per year.

Now, let's calculate the break-even price per MWh. Since Tri-County has a demand of 1,000,000 MWh from its customers (other than Boulder), we can divide the total cost by this quantity to find the break-even price.

Break-even price = Total cost / Quantity of electrical power demanded
Break-even price = $83.1 million / 1,000,000 MWh = $83.1/MWh

Therefore, Tri-County will have to charge approximately $83.1 per MWh to break even.

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A 180 calorie half-pint carton of chocolate milk stores approximately 753.72 joules of energy.

To determine the amount of energy stored in the 180 calorie half-pint carton of chocolate milk, we can convert the calories to joules. One calorie is approximately equal to 4.184 joules. Therefore, 180 calories is equal to 180 * 4.184 = 753.72 joules.

Calories are a unit of energy commonly used in nutrition to measure the energy content of food. However, in scientific calculations and physical contexts, the SI unit for energy is the joule. So, by converting the calories to joules, we can express the energy content of the chocolate milk carton in a standard unit. Hence, a 180 calorie half-pint carton of chocolate milk stores approximately 753.72 joules of energy.

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Answer:

x =b^2+16/5

Step-by-step explanation:

Isolate the variable by dividing each side by factors that don't contain the variable.

Answer:

Winners:Losers

2:9

Step-by-step explanation:

Winners:Losers

6:27

[÷3]

2:9

Answer:

Ratio  2:9

Step-by-step explanation:

For every 27 winner there are 6 people who win

For every 6 people who win 27 people do not win

So the ratio is 6:27  This can be simplified by dividing by 3

  Ratio 2:9

Step-by-step explanation:

the median is the value, where half of the other values is lower and the other half is higher.

so, when sorting these 7 numbers we get

10, 11, 12, 13, 14, 15, 16

and the median is 13.

as 10, 11, 12 are lower.

and 14, 15, 16 are higher.

The matrix A has an eigenvalue λ with a multiplicity of 2, and we need to find the value of λ and its corresponding eigenvector v.

To find the eigenvalue and eigenvector, we start by solving the equation (A - λI)v = 0, where A is the matrix, λ is the eigenvalue, I is the identity matrix, and v is the eigenvector.

Substituting the given matrix A, we have:

|6-λ -2|

|-2 10-λ| * |x|

|y| = 0

Expanding this equation, we get two equations:

(6-λ)x - 2y = 0 ...(1)

-2x + (10-λ)y = 0 ...(2)

To find λ, we solve the characteristic equation det(A - λI) = 0:

|(6-λ) -2|

|-2 (10-λ)| = 0

Expanding this determinant equation, we get:

(6-λ)(10-λ) - (-2)(-2) = 0

(λ^2 - 16λ + 56) = 0

Solving this quadratic equation, we find two solutions: λ = 8 and λ = 7.

Now, for each eigenvalue, we substitute back into equations (1) and (2) to find the corresponding eigenvectors v. For λ = 8:

(6-8)x - 2y = 0

-2x + (10-8)y = 0

Simplifying these equations, we get -2x - 2y = 0 and -2x + 2y = 0. Solving this system of equations, we find x = -y.

Therefore, the eigenvector corresponding to λ = 8 is v = [1 -1].

Similarly, for λ = 7, we find x = y, and the eigenvector corresponding to

λ = 7 is v = [1 1].

Therefore, the eigenvalue λ has a multiplicity of 2, with λ = 8 and the corresponding eigenvector v = [1 -1]. Another eigenvalue is λ = 7, with the corresponding eigenvector v = [1 1].

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Answer: 50 this is  addiction

Step-by-step explanation: if not try this 139,392 this is in multiplication

The general solution of the damped spring-mass system with the given parameters is y(t) = e^(-t/2) [c1cos((√7/2)t) + c2sin((√7/2)t)]. By applying the initial conditions y(0) = 1 and y'(0) = 0, the specific solution can be obtained as y(t) = (2/7)e^(-t/2)cos((√7/2)t) + (3/7)e^(-t/2)sin((√7/2)t).

The equation for the damped spring-mass system can be expressed as my'' + cy' + ky = 0, where m is the mass, c is the damping coefficient, and k is the spring constant. In this case, m = 1 kg, c = 3 kg/s, and k = 2 kg/\(s^2\).

To find the general solution, we assume a solution of the form y(t) = e^(rt). By substituting this into the equation and solving for r, we get \(r^2\) + 3r + 2 = 0. Solving this quadratic equation gives us the roots r1 = -2 and r2 = -1.

The general solution is then given by y(t) = c1e^(-2t) + c2e^(-t). However, since we have a damped system, the general solution can be rewritten as y(t) = e^(-t/2) [c1cos((√7/2)t) + c2sin((√7/2)t)], where √7/2 = √(3/4).

By applying the initial conditions y(0) = 1 and y'(0) = 0, we can solve for the coefficients c1 and c2. The specific solution is obtained as y(t) = (2/7)e^(-t/2)cos((√7/2)t) + (3/7)e^(-t/2)sin((√7/2)t). This satisfies the given initial value problem.

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Answer:

2240 scooters

Step-by-step explanation:

First, convert 112% to a decimal. Remember perCENT means per 100, and to make any number a decimal, move the decimal point two to the left, so 112 becomes 1.12

Then, they sold 1.12 times the sum of all the other years, so

year 4 sales = 1.12(725+579+696)

year 4 sales = 1.12(2000) = 2240

Answer:

a=30°; b=40°;c=40°; d=40°; e=110°: f=110°; g=30°; h=140°; i=70°; j=70°

the perimeter of the pentagon greater than 26 centimeters is given by

23.51

Given that a pentagon with 5  sides of equal length and 5 interior angles of equal measure is inscribed in a circle

The circle has area of 16 pi sq cm.

Hence radius of circle = 4 cm

The pengagon each side would be a chord of equal length subtending angle 72 at the centre.

visualize the triangle made by one side of pentagon with centre.  This is isosceles with angles 72, 54 and 54

Use sine angle for this triangle.

, where R = radius =4 and s = side of pentagon.

s= 4.702

Perimeter = 5s = 23.5114 cm

Perimeter not greater than 26 cm.

If origin is at the centre then two vertices would be (4,0) (4cos 72, 4sin72),(4cos 144, 4 sin 144) and so on.

Longest diagonal = distance between (4,0) and (4cos 144, 4 sin 144)

= (-3.236, 2.351) and (4,0)

=7.608

Yes greater than 8 cm

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Answer:

Please see attachment.

Step-by-step explanation:

Since there are no answer choices, I will just show you the graphs for each one.

Remember the dashed lines means it is either greater than, or less than.

The solid lines are either greater than or equal to, or less than or equal to.

Hope this helps!

If not, I am sorry.

The solutions of the equation given as |2/3x + 2| − 8 = 0 are x = 9 and x = -15

An equation is a  mathematical statement that is made up of two expressions connected by an equal sign.  In its simplest form in algebra, the definition of an equation is a mathematical statement that shows that two mathematical expressions are equal.

here, we have,

to determine the solutions of the equation:

The equation is given as:

|2/3x + 2| − 8 = 0

Start by adding 8 to both sides of the equation.

So, we have

|2/3x + 2| = 8

Next, we remove the absolute value expression

So, we have;

2/3x + 2 = 8 and 2/3x + 2 = -8

Subtract 2 from both sides of the equation

2/3x = 6 and 2/3x = -10

Multiply the equation by 3/2

x = 9 and x = -15

Hence, the solutions of the equation given as |2/3x + 2| − 8 = 0 are x = 9 and x = -15

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Complete question:

Determine the solutions of the equation:

|2/3x+2−8=0

Ox= -9 and x = 9

Ox= -15 and x = 4

Ox= -15 and x = 9

Ox= -15 and x = 15

The constant of proportionality from the proportional relationship is 3/2

A proportional relationship is a mathematical relationship between two variables in which their ratio is always equal. In other words, if x and y are in a proportional relationship, then y/x is always equal to a constant value, called the constant of proportionality. This can be expressed mathematically as y = kx, where k is the constant of proportionality and x and y are the variables in the relationship.

To determine the constant of proportionality, we need to use the proportional relationship given.

y = kx

k = constant of proportionality

3/8 = k(1/4)

Solve for k

k = [(3/8) / (1/4)]

k = 3/2

k = 1.5

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Answer:

I'm guessing 170 miles.

Sry if i'm wrong, I tried my best.

It'll also make me happy if you would subscribe to my channel Yaya Playz 23, and my friends BonheurPlaysGames!!! and Sagesse Games, there small YTers as well. Thank you!

C. The statement is false.

Correlation is a statistical measure that indicates the extent to which two variables are related in a linear manner.

The correlation coefficient, denoted by r, ranges from -1 to +1, with 0 indicating no linear relationship, -1 indicating a perfect negative linear relationship, and +1 indicating a perfect positive linear relationship.

The correlation coefficient is calculated by dividing the covariance of the two variables by the product of their standard deviations.

The important thing to note is that the correlation coefficient is a pure number, which means it has no units. This is because it only measures the strength and direction of the linear relationship between the two variables and is not affected by their units of measurement.

Therefore, the statement "The units of the correlation are the same as the units of x" is false because the correlation coefficient is not expressed in the units of x or y. Instead, it is a pure number that provides information about the strength and direction of the linear relationship between the two variables, regardless of their units.

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Answer:

7

Step-by-step explanation:

the equation of a line in point- slope form is

y - b = m(x - a)

where m is the slope and (a, b ) a point on the line

y = 6 = - \(\frac{1}{7}\) (x + 2) ← is in point- slope form

with slope m = - \(\frac{1}{7}\)

given a line with slope m then the slope of a line perpendicular to it is

\(m_{perpendicular}\) = - \(\frac{1}{m}\) = - \(\frac{1}{-\frac{1}{7} }\) = 7

Answer: 20%

Step-by-step explanation:

Answer:

x = 0.667 and y = -0.6

Step-by-step explanation:

Given that,

6x + 5y = 1 ....(1)

6x - 5y = 7 ...(2)

We need to solve the above equations.

Subtract equations (1) and (2)

6x + 5y -(6x - 5y) = 1-7

6x+5y-6x+5y = -6

10y=-6

y = -0.6

Put the value of y in equation (1).

6x + 5(-0.6) = 1

6x = 1-5(-0.6)

6x = 4

x = 0.667

Hence, first step is to subtract equation (1) and (2) then put the value of y in equation (1).

Answer:You have too add $45.25 by 5 and divided the answer you got from adding the $45.25

Step-by-step explanation:

Hope this helps!

Answer:

P = 35.98 cm

Step-by-step explanation:

The Perimeter of a shape is the distance around the outside of it. This semi-circle (half circle) has a straight part and the curved part. See image. The straight part is the diameter (distance through the center) it is double the radius that was given, 7 cm.

The circumference of a circle is the perimeter of the whole circle.

C = 2pi•r or pi•d

C = 2pi•7 = 14pi

But you only need half, so 14pi/2 is 7pi.

ADD the straight part and the curved part to get the whole distance around the shape

P = 14 + 7pi

P ~= 35.98 cm

See image

Step-by-step explanation:

So in order to find out how much he needs to sell, let's find out what the target is. We do that by working options A.

$19 for 40 hours

\(40 \times 19 = 760\)

Now that we have 760, we know this amount is 8%. Next we setup a ratio

\( \frac{760}{x} = \frac{8\%}{100\%} \)

We cross multiply

\(8x = (760)(100)\)

\(8x = 76000\)

Last but not least, we divide by 8 on both sides

\(x = 9500\)

Answer:i think that the answer is 3

Step-by-step explanation:

Answer:

wouldn't it be 0 to 5 seconds it has the biggest change

The roots of a polynomial are values that make the polynomial equal zero.

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In a shortest path problem, the right-hand side (RHS) value for the starting node has a value of 0. This indicates that the shortest path from the starting node to itself has a cost of 0.

In summary, the RHS value for the starting node in a shortest path problem is 0, indicating that the shortest path from the starting node to itself has a cost of 0.

The RHS value is used in the context of the Dijkstra's algorithm, which is commonly used to solve shortest path problems. In this algorithm, a priority queue is used to store the nodes that have not yet been visited, sorted based on their tentative distances from the starting node. Initially, the starting node is assigned a tentative distance of 0, indicating that it is the source node for the shortest path. The RHS value is used to update the tentative distance of a node when a shorter path is discovered. When a node is added to the priority queue, its tentative distance is compared to its RHS value, and the smaller of the two values is used as the node's priority in the queue. By setting the RHS value of the starting node to 0, we ensure that the starting node always has the highest priority in the queue and is processed first by the algorithm.

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Answer:

Step-by-step explanation:

Slope =

\( \frac{change \: in \: y}{change \: in \: x} \)

X1=2 X2=7

Y1=-1 Y2=-1

hence

\( \frac{ - 1 - ( - 1)}{7 - 2} \)

\( \frac{ - 1 + 1}{7 - 2} \)

\( \frac{0}{5} \)

\(slope = 0\)

Diane received an $80 gift card.

The coffee costs $8.04 per pound.

After buying, she had $47.84 left.

Based on the given information, we can form the following equation

Where x refers to the pounds of coffee she bought. Let's solve for x

Answer:

6000

Step-by-step explanation:

Multiply 60 by 100:

60 x 100 = 6,000

The answer is 6,000 ( six thousand)