The copy center has a job order that requires 500 pages of white paper and 200 pages of pink paper. The copying rate is 25 pages per minute, the overall setup time is 5 minutes, and the color change time is 2 minutes. Suppose the copy center only did jobs exactly like this one (500 white, 200 pink). What would the cycle time be

Answer:

False

Step-by-step explanation:

[If two lines are perpendicular, then the lines intersect to form four right angles] It's true up till here, but a right angle is 90 degrees, not 180 degrees

Answer: Option 2

Step-by-step explanation:

Let f(y)=x.

\(x=2y+3\\\\x-3=2y\\\\y=\frac{1}{2}x-\frac{3}{2}\\\\f^{-1}(x)=\frac{1}{2}x-\frac{3}{2}\)

The inverse of the function is,

⇒ f ⁻¹(x) = 1/2 (x - 3)

A relation between a set of inputs having one output each is called a function. and an expression, rule, or law that defines a relationship between one variable (the independent variable) and another variable (the dependent variable).

Given that;

The function is,

⇒ f (x) = 2x + 3

Now,

We can find the inverse of function as;

⇒ f (x) = 2x + 3

Put y = f (x);

⇒ y = 2x + 3

Solve for x;

⇒ y - 3 = 2x

⇒ x = 1/2 (y - 3)

⇒ f ⁻¹(x) = 1/2 (x - 3)

Thus, The inverse of the function is,

⇒ f ⁻¹(x) = 1/2 (x - 3)

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Answer:

7y−8

hope this helps :)

Answer:

  31

Step-by-step explanation:

20% of 40 is 0.20·40 = 8.

Shane donates 8 and sells 1 of his books. That leaves him with 40-8-1 = 31 books that he sells online.

Answer:

It’s 20

Step-by-step explanation:

Answer:

3645

Step-by-step explanation:

65610/18=3645

Given statement is True.

A system of equations can be represented in different forms, such as point form (showing the x and y values that make the equations true) or equation form (showing the equations in standard form, with variables on one side and constants on the other). A solve by substitution calculator can be used to find the solution to a system of two or three equations in both point form and equation form of the answer.

The process of solving a system of equations by substitution involves isolating a variable in one equation and then substituting it into the other equation(s) to find the values of the other variable(s). The calculator can display the solution in point form by showing the values of x and y (or x, y, and z for a system of three equations) that make the equations true. It can also display the solution in equation form by showing the equations with the variable(s) replaced by the values found in the solution.

In conclusion, solve by substitution calculator can find the solution to a system of two or three equations in both point form and equation form of the answer, it can be a helpful tool for solving systems of equations.

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Answer: x = p/2

Step-by-step explanation:

x = next one
p = previous

in order to solve the next one, you would do :
x (the one you are trying to solve) = p (the previous one : 1/8) divided by 2
x = p/2

Answer:

y = 9\(\sqrt{2}\) inches

Step-by-step explanation:

Since the base angles are congruent then the triangle is isosceles with both legs being equal.

Using Pythagoras' identity in the right triangle

y² = 9² + 9² = 81 + 81 = 162 ( take the square root of both sides )

y = \(\sqrt{162}\) = \(\sqrt{81(2)}\) = 9\(\sqrt{2}\)

Answer:

C = 65

Step-by-step explanation:

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

Answer:

(-14,-20)

Step-by-step explanation:

hope it helps!

Answer:

x=-14, y=-20

Step-by-step explanation:

Open questions:

Closed questions:

Open questions allow individuals to express their thoughts, feelings, and opinions freely. These questions promote exploration and encourage the respondent to provide unique and personal insights.

Closed questions provide limited options for responses and are useful when seeking specific information or clarifying details. They are used in surveys, assessments etc.

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Answer:

Part A is 2/3.Part B is 12 students.

Step-by-step explanation:

Boom Logic...

To determine the change in angular momentum (ΔL) of a cylinder from t = 0 to t = t0, a student can use the equation:

ΔL = I * Δω

where ΔL is the change in angular momentum, I is the moment of inertia of the cylinder, and Δω is the change in angular velocity.

To calculate Δω, the student needs to know the initial and final angular velocities, ω0 and ωt0, respectively. The change in angular velocity can be calculated as:

Δω = ωt0 - ω0

Once Δω is determined, the student can use the moment of inertia (I) of the cylinder to calculate ΔL using the equation mentioned earlier.

The moment of inertia (I) depends on the mass distribution and shape of the cylinder. For a solid cylinder rotating about its central axis, the moment of inertia is given by:

I = (1/2) * m * r^2

where m is the mass of the cylinder and r is the radius of the cylinder.

By substituting the known values for Δω and I into the equation ΔL = I * Δω, the student can calculate the change in angular momentum (ΔL) of the cylinder from t = 0 to t = t0.

It's important to note that this method assumes that no external torques act on the cylinder during the time interval. If there are external torques involved, the equation for ΔL would need to include those torques as well.

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The rationing function of prices refers to ability of competitive forces of supply and demand to establish a price at which scarce goods or resources are allocated among different users or consumers.

The price serves as a mechanism,

To determine who gets access to a limited quantity of goods or resources when the demand exceeds the available supply.

When the demand for a particular good or resource is high and the supply is limited, the price tends to increase.

This increase in price acts as a signal to both consumers and producers.

On the consumer side, the higher price encourages individuals to reduce their demand or seek alternative substitutes.

As the higher price may make the good less affordable or desirable.

On the producer side, the higher price provides an incentive to produce more of the scarce good, as it becomes more profitable.

Through this interplay of supply and demand, the price helps to allocate the limited resources efficiently.

Those who value the good or resource the most and are willing to pay the higher price will be able to obtain it.

While others who are not willing or able to pay the higher price may choose to forgo the purchase.

In this way, the rationing function of prices helps to allocate resources based on individuals' willingness.

And ability to pay, ensuring that resources are distributed among those who value them the most.

Therefore, rationing function of prices refers to ability of supply and demand to establish a price at which scarce goods or resources are allocated among consumers based on their willingness and ability to pay.

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The rationing function of prices refers to the ability of supply and demand to establish prices which leads to an equilibrium where shortage or surplus is minimized, ensuring an efficient allocation of resources in a perfectly competitive market.

The rationing function of prices refers to the ability of the competitive forces of supply and demand to establish a price at which selling and buying occurs in a way that gross imbalance does not occur. This characteristic of a market is called allocative efficiency. In a perfectly competitive market, prices tend to be established where marginal cost crosses the demand curve. This point is sometimes regulated to ensure the firm produces the output at where marginal cost equals the price, which then benefits both consumers and the broader social interest. This situation assures consumers a higher quantity and lower price, and it results in the most efficient allocation of resources.

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\(\textit{equation of a circle}\\\\ (x- h)^2+(y- k)^2= r^2 \hspace{5em}\stackrel{center}{(\underset{h}{3}~~,~~\underset{k}{1})} \qquad \stackrel{radius}{\underset{r}{2}} \\\\[-0.35em] ~\dotfill\\\\( ~~ x - 3 ~~ )^2 ~~ + ~~ ( ~~ y-1 ~~ )^2~~ = ~~2^2\implies (x -3)^2 + (y -1)^2 = 4 \\\\\\ (x^2-6x+9)+(y^2-2y+1)=4\implies x^2-6x+y^2-2y+10=4 \\\\\\ ~\hfill~ {\Large \begin{array}{llll} x^2-6x+y^2-2y+6=0 \end{array}} ~\hfill~\)

X= 6tan(θ), we expressed sin(2θ) as a function of x by using the double-angle formula and trigonometric identities, resulting in sin(2θ) = (2x)/(x^2 + 36).
sin(2θ) = (2x)/(x^2 + 36)


1. Given that x = 6tan(θ), we can first express sin(θ) and cos(θ) in terms of x.
2. Recall that tan(θ) = sin(θ)/cos(θ). So, sin(θ) = x/6 and cos(θ) = √(36 - x^2)/6.
3. Now, we'll use the double-angle formula for sine: sin(2θ) = 2sin(θ)cos(θ).
4. Substitute sin(θ) and cos(θ) with the expressions found in step 2: sin(2θ) = 2(x/6)(√(36 - x^2)/6).
5. Simplify the expression: sin(2θ) = (2x)/(x^2 + 36).

Summary:
Given x = 6tan(θ), we expressed sin(2θ) as a function of x by using the double-angle formula and trigonometric identities, resulting in sin(2θ) = (2x)/(x^2 + 36).

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Answer:

107%

Step-by-step explanation:

$14 to $29

Original number/start = $14

End number = $29

Increase = $29 - $14 = $15

% increase = Increase ÷ Original Number × 100

Substitute in known values

% increase = 15 ÷ 14 × 100

Divide

% increase = 1.07 × 100

Multiply

% increase = 107%

The percentage increase is 107%

Hope this helps :)

Answer:

107%

Step-by-step explanation:

percent change = (new number - old number)/(old number) * 100%

new number = 29; old number = 14

percent change = (29 - 14)/14 * 100%

percent change = 15/14 * 100%

percent change = 107%

The equation in standard form for the circle with diameter endpoints (1,17) and (1,-1) is (x - 1)^2 + (y - 8)^2 = 81.

To write the equation of a circle in standard form, we need to use the formula: (x - h)^2 + (y - k)^2 = r^2 Where (h,k) is the center of the circle and r is the radius.

We can use the midpoint formula to find the center of the circle, which is the midpoint of the diameter: Midpoint = ((x1 + x2)/2 , (y1 + y2)/2) Substituting the given endpoints, we get: Midpoint = ((1 + 1)/2 , (17 + (-1))/2) = (1, 8) So the center of the circle is (1,8).

Now we need to find the radius, which is half the length of the diameter: Length of diameter = sqrt((1-1)^2 + (17-(-1))^2) = sqrt(18^2) = 18 Radius = 18/2 = 9 Substituting the center and radius in the standard form equation, we get: (x - 1)^2 + (y - 8)^2 = 9^2 Simplifying, we get: (x - 1)^2 + (y - 8)^2 = 81

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The combinations of four objects taken two at a time are: xy, xz, xs, yz, ys, and zs. The correct answer is option B.

To find the combinations of four objects taken two at a time (4C2), we need to list all the possible pairs of the objects. The objects are x, y, z, and s.

The combinations are:

xy, xz, xs, yz, ys, zs

These are all the possible pairs that can be formed by selecting two objects at a time from the given set of four objects.

Therefore, the correct answer is option B) xy, xz, xs, yz, ys, zs.

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\(\rightarrow\sf \sqrt{27} + 7 \sqrt{5} : \sqrt{2 } \\ = \sf \sqrt{9(3)} + 7 \sqrt{5} : \sqrt{2 } \\ = \sf \sqrt{ {3}^{2} } \times 3 + 7 \sqrt{5} : \sqrt{2} \\ \rightarrow \large\boxed{\sf{\red{3 \sqrt{3} + 7 \sqrt{5} : \sqrt{2} }}}\)

\(\large\boxed{\sf{\red{3 \sqrt{3} + 7 \sqrt{5} : \sqrt{2} }}}\)

\(\color{red}{==========================}\)

✍︎ꕥᴍᴀᴛʜᴅᴇᴍᴏɴǫᴜᴇᴇɴꕥ

✍︎ꕥᴄᴀʀʀʏᴏɴʟᴇᴀʀɴɪɴɢꕥ

ꕥᴀʀᴀꕥ

Information is needed to evaluate the project's financial viability, considering factors such as the initial investment, expected cash flows, cost of capital, and project duration.

To calculate the year 1 operating cash flows (OCF), we need to subtract the year 1 costs from the year 1 revenues:

OCF = Year 1 Revenues - Year 1 Costs

OCF = $192,000 - $125,000

OCF = $67,000

To find the depreciation expense in year 3, we need to determine the depreciation method. The provided information is incomplete regarding the depreciation method, so we cannot calculate the depreciation expense in year 3 without knowing the specific method.

The change in Net Working Capital (NWC) in year 2 can be determined by multiplying the Net Working Capital percentage (given as a percentage of t+1 revenues) by the year 1 revenues and subtracting the result from the year 2 revenues:

Change in NWC = (Year 2 Revenues - Net Working Capital percentage * Year 1 Revenues) - Year 1 Revenues

Without the specific Net Working Capital percentage or Year 2 Revenues values, we cannot calculate the exact change in NWC in year 2.

The net cash flow from salvage (ATSV) is calculated by multiplying the Salvage Value percentage by the Initial Cost:

ATSV = Salvage Value percentage * Initial Cost

ATSV = 28% * $390,000

ATSV = $109,200

To calculate the project's NPV, we need the cash flows for each year, the cost of capital, and the project duration. Unfortunately, the information provided does not include the cash flows for each year, so we cannot calculate the project's NPV.

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The complete question is:

Below are your numerical inputs for the problem: 4 & Initial Cost (\$) & 390000 5 & Year 1 Revenues (\$) & 192000 6 & Year 1 Costs (\$) & 125000  7 & Inflation & 2.75% 8 & Project Duration (years) & 6 9 & Depreciation Method & 10 & Tax Rate & 11 & Net Working Capital (\% oft+1 Revenues) & MACRS 12 & Salvage Value (\$) & 28.00% 13 & Cost of Capital & 15.00% & 245000 How much are the year 1 operating cash flows (OCF)? How much is the depreciation expense in year 3 ? What is the change in Net Working Capital (NWC) in year 2? What is the net cash flow from salvage (aka, the after-tax salvage value, or ATSV)? What is the project's NPV? Would you recommend purchasing the ranch? Briefly explain.

The required probability for the given event is given as 0.5.

Probability is the branch of Mathematics that deals with the measurement of the chance of occurrence of a random event.

The probability of any event always lie in the close interval of 0 and 1 [0,1].

Given that,

The probability of a door being locked is 70% = 0.7

Total number of keys is 10.

The number of keys being carried is 2.

Thus, there can be two cases for getting through the door.

Case 1: The door is locked.

The probability to open the door by 1 key is 1/10.

Then, the probability to open the door by 2 keys is 2/10 = 1/5.

Case 2: The door is open.

In this case no keys are needed which means the chance of getting through is the probability of door not being locked which is given as,

1 - 0.7 = 0.3.

Now, the overall probability should consider both the cases as,

P(getting through the door) = P(Door is closed and keys open it)

+ P(The door is open)

= 0.3 + 1/5

= 0.3 + 0.2

= 0.5.

Hence, the probability to get through the door without returning for more keys is 0.5.

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Answer: stacia would need 130 diamonds

Using the formula of area of a circle, about 226.08in² has been eaten

The diameter of the pizza is given as 24 inches. To calculate the area of the entire pizza, we need to use the formula for the area of a circle:

Area = π * r²

where π is approximately 3.14 and r is the radius of the circle.

Given that the diameter is 24 inches, the radius (r) would be half of the diameter, which is 12 inches.

Let's calculate the area of the entire pizza first:

Area = 3.14 * 12²

Area = 3.14 * 144

Area ≈ 452.16 square inches

Now, if half of the pizza is consumed, we need to calculate the area of half of the pizza. To do that, we divide the area of the entire pizza by 2:

Area of half of the pizza = 452.16 / 2

Area of half of the pizza ≈ 226.08 square inches

Therefore, if half of the pizza is consumed, approximately 226.08 square inches of pizza would be eaten.

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To calculate the number of tiles required for a room, you need to know the dimensions of the room and the size of the tiles.

To calculate the number of tiles needed for a room, follow these steps:

To calculate the number of tiles required for a room, you need to know the dimensions of the room and the size of the tiles. By measuring the length and width of the room, you can calculate the total area of the floor or wall that needs to be tiled. This is done by multiplying the length by the width.

Next, you should determine the size of the tiles you plan to use. This could be in square meters or square feet depending on your measurement preference. Knowing the area of one tile will allow you to calculate how many tiles are needed to cover the entire room. You can do this by dividing the total area of the room by the area of one tile.

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Answer:

  A = C²/(4π)

Step-by-step explanation:

You want a formula for the area of a circle, given its circumference.

Relevant relations for a circle are ...

  A = πr² . . . . . . . . A = area, r = radius

  C = 2πr . . . . . . . . C = circumference

Solving the circumference equation for r, we find ...

  r = C/(2π)

Substituting that into the area equation, we have ...

  A = π(C/(2π))²

  A = C²/(4π)

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The function that models the area A of a circle in terms of its circumference C is A = C²/(4π).

The formula for the circumference of a circle is C = 2πr or C = πd, where r is the radius and d is the diameter. To find a function that models the area A of a circle in terms of its circumference C, we can rearrange the formula for the circumference to solve for the radius: r = C/(2π). Substituting this value of r into the formula for the area, we get A = π(C/(2π))² = C²/(4π).

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Answer:

Step-by-step explanation:

Let the numbers be x and y

The statement

difference of two numbers is 166 is written as

x - y = 166.......... Equation 1

The sum of the same two numbers is 234 is written as

x + y = 234 ............. Equation 2

Solve the equations simultaneously

Add both equations 1 and 2

That's

x + x + y - y = 166 + 234

2x = 400

Divide both sides by 2

Substitute the value into the first equation

That's

100 + y = 234

y = 100 - 234

Hope this helps you

Answer:

-3, -6

Step-by-step explanation: