A cargo plane left Singapore flying west
nine hours before an Air Force plane. The
Air Force plane flew in the opposite
direction going 260 km/h slower than the
cargo plane for three hours after which
time the planes were 5970 km apart. Find
the cargo plane's speed.

The Possible Energy Collected in kJ is 30,999 kJ.

The first step in solving this problem is to determine the area of the oven. To do this, we need to multiply the length (53.2 cm) by the width (44.5 cm). This gives a result of 2359.4 cm².

Next, we can calculate the energy collected in kJ. To do this, we need to multiply the power (1120.3 W/m²) by the area of the oven (2359.4 cm²) and then by the time (71.9 min) and then divide by 1000 to convert into kilojoules (kJ). This gives the following equation:

Energy collected (kJ) = (1120.3 W/m² × 2359.4 cm² × 71.9 min) / 1000

Substituting in the values, this gives a result of 30,999 kJ of energy collected.

Therefore, the Possible Energy Collected in kJ is 30,999 kJ.

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Answer:

The value of the line integral is 2(3√2 + 2).

Step-by-step explanation:

We can use Green's theorem for circulation to evaluate the line integral:

θ∫θ F · dr = ∬R ( ∂Q/∂x - ∂P/∂y ) dA

where F = (P, Q), R is the region bounded by the curve C, and the integral is over R.

First, we need to find the partial derivatives of P and Q:

∂P/∂y = 0

∂Q/∂x = y^2 + 2

Then, we can evaluate the double integral over the region R:

θ∫θ F · dr = ∫-2^(1/2)^(3/2) ∫y^2/2 -2x (y^2 + 2) dx dy

Evaluating the inner integral with respect to x, we get:

∫y^2/2 -2x (y^2 + 2) dx = (y^4/8 - y^2 - 2xy^2 - 4x)|y^2/2 -2x = (-9/8)y^2 - 8y^(5/2)/5

Then, evaluating the outer integral with respect to y, we get:

θ∫θ F · dr = ∫-2^(1/2)^(3/2) (-9/8)y^2 - 8y^(5/2)/5 dy

= (-9/24)(y^3)|-2^(1/2)^(3/2) - (8/7)(y^(7/2))|-2^(1/2)^(3/2)

= 2(3√2 + 2)

Therefore, the value of the line integral is 2(3√2 + 2).

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The answer is 21%

A percentage is a number or ratio that can be expressed as a fraction of 100. If we have to calculate the percent of a number, divide the number by the whole and multiply by 100. Hence, the percentage means, a part per hundred. The word percent means per 100. It is represented by the symbol “%”

Given here: Dylan opened a credit card account with $625.00 of available credit. Now that he has made some purchases, Dylan's account only has $493.75 of available credit.

Thus change in amount is 625-493.75=131.25

percentage change = 131.25/625 × 100

                                 = 21%

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Pregunta completa:

Al llegar al hotel nos an dado un mapa con los lugares de la ciudad nos dijieron que 5 cm del mapa que representaban 600 metros de la realidad hoy queremos ir a un par que que se encuentra a 8 cm del hotel en el mapa. ¿A qué distancia del hotel está la pareja?

Respuesta: 960m

Explicación paso a paso:

Dado que:

5 cm en el mapa equivale a 600 m en tierra Por lo tanto,

8 cm en el mapa será equivalente a:

5 cm en el mapa - - - - - -> 600 m en el suelo 8cm - - - - - - -> y metros en el suelo

Usando la multiplicación cruzada

y × 5 = 8 × 600

5y = 4800 Luego,

y = 4800/5

y = 960m

Por lo tanto, 8 cm en el mapa serán 960 m en realidad.

Answer:

a 1,680 metros

Step-by-step explanation:

5:600  -  600/5= 120 cada cm

14x120= 1,680 metros

Im a 5th grader and I don't even know that.

Answer:

540 degrees

Step-by-step explanation:

The sum of the degrees from a diagram with 5 vertices = 540°

Hope this helps:)

Answer:

total interior degrees = 540°

Step-by-step explanation:

total interior degrees = (number of vertices x 180°) - 360°

total interior degrees = (5 x 180°) - 360° = 540°

The departmental store is ordering the fall line of shoes.

In order to determine what size they should order for the most, they will need to know what size the customers buy the most.

This value is called the mode

It is a statistical data that depicts the number of a data set that appears the most.

The store will need to buy the size that the customers buy the most, that is the mode.

Option A

Answer: James

Step-by-step explanation: 2.2 is less than 2.25.

The simplified form of the given expression is \($-\frac{1}{1+\tan^{2}(t+7\pi)}$.\)

The given information is:

\($$\frac{\sin (-t+2 \pi) \sec (t+3 \pi)}{1+\tan ^{2}(t+7 \pi)}$$\)

We have to simplify this expression. Let's begin:

\($$\frac{\sin (-t+2 \pi) \sec (t+3 \pi)}{1+\tan ^{2}(t+7 \pi)}$$\)

\($$\frac{\sin(-t)\cdot\frac{1}{\cos(t+3\pi)}}{1+\tan^{2}(t+7\pi)}$$\)

Since, \($\cos(x+2\pi) = \cos(x)$\)and

\($\cos(x+\pi) = -\cos(x)$\),

we can solve it as follows:, \($$\cos(t+3\pi) = \cos(t+\pi+2\pi) = -\cos(t+\pi) = \sin(t)$$\)

\($$\frac{\sin(-t)\cdot\frac{1}{\sin(t)}}{1+\tan^{2}(t+7\pi)}$$\)

\($$\frac{-\sin(t)}{\sin(t) + \tan^{2}(t+7\pi)\sin(t)}$$\)

\($$-\frac{1}{1+\tan^{2}(t+7\pi)}$$\)

So, the final answer is option E, i.e.

\($-\frac{1}{1+\tan^{2}(t+7\pi)}$\)

Conclusion: The simplified form of the given expression is \($-\frac{1}{1+\tan^{2}(t+7\pi)}$.\)

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A x=3 hope it helps-parker have a nice day

Answer:

9

Step-by-step explanation:

The GCF o the three numbers is 9 and then there is no gcf for the variable.

Answer:3 weeks

Step-by-step explanation:

The paths of two particles are described by parametric equations. The first particle follows a circular path, while the second particle follows a path with both circular and linear components.

We need to graph the paths and determine the number of points of intersection.

Additionally, we need to find the collision point where the particles occupy the same position at the same time.

Lastly, we need to determine if there is a collision when the x-coordinate of the second particle is modified.

(a) To graph the paths of both particles, we plot the parametric equations x1 = 3sin(t), y1 = 2cos(t) and x2 = -3 + cos(t), y2 = 1 + sin(t) on a coordinate plane for 0 ≤ t ≤ 2π. The paths of the particles will be represented by curves. By analyzing the graph, we can count the number of points of intersection.

(b) To find the collision point, we need to find the values of t where x1 = x2 and y1 = y2 simultaneously. By setting 3sin(t) = -3 + cos(t) and 2cos(t) = 1 + sin(t), we can solve for t. The obtained value(s) of t will give us the collision point (x, y) where the particles occupy the same position at the same time.

(c) If the x-coordinate of the second particle is modified to x2 = 3 + cos(t), we need to repeat the process of finding the collision point. By setting 3sin(t) = 3 + cos(t) and 2cos(t) = 1 + sin(t), we solve for t. Depending on the solution(s) of t, we can determine if there is still a collision or not.

Please note that since this question involves graphing and solving equations, it is best to draw the graphs and solve the equations visually or using numerical methods to obtain specific values.

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This refers to the ratio between the scale of a given original object and a new object. It is its representation but of a different size (bigger or smaller). For example, if we have a rectangle of sides 2 cm and 4 cm, we can enlarge it by multiplying each side by a number, say 2.

Solving for the area and scale factor we have:

L= 5 units

W = 2 units

A = (5 x 2)

A = 10 square units.

A= (Scale factor of  L * W)*  L * W

= (2 x 2 x 5 x 2)

A = 40 square units.

A= (Scale factor of  L * W)*  L * W

= (3 x 3 x 5 x 2)

A= 90 square units

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Length of a wire = 40 cm.

Breadth of the rectangle formed = 8 cm.

length and area of rectangle.

Length of a wire = 40 cm.

A rectangle is made from this wire.

That means,

Perimeter of the rectangle formed = length of the wire.

Also,

Breadth of the rectangle formed = 8 cm.

We know that,

Perimeter of a rectangle = 2(length + breadth).

Let the length of the rectangle be x cm.

Hence,

→ 2(x + 8) = 40

→ 2x + 16 = 40

→ 2x = 40 - 16

→ 2x = 24

→ x = 24/2

→ x = 12

Hence,

Length of the rectangle formed = x = 12 cm.

Now,

We know,

Area of a rectangle =length * breadth

→ Area of the rectangle = (12) * (8)

→ Area of the rectangle = 96 cm²

Therefore, the area of the rectangle formed is 96 cm².

I hope it will help you.

Regards.

Answer: Its C!( 15 units)

Step-by-step explanation:

The direction in which the maximum rate of change of f occurs at the point (5, 6, -1) is approximately (-0.17, -0.11, -0.98).

To find the maximum rate of change of the function f at the given point (5, 6, -1) and the direction in which it occurs, we can calculate the gradient of f at that point.

The gradient vector represents the direction of maximum increase of the function, and its magnitude represents the rate of change in that direction.

The gradient vector (∇f) of f(x, y, z) = (8x + 5y)/z can be found by taking the partial derivatives with respect to each variable:

∂f/∂x = 8/z

∂f/∂y = 5/z

∂f/∂z = -(8x + 5y)/z^2

Evaluated at the point (5, 6, -1), we have:

∂f/∂x = 8/(-1) = -8

∂f/∂y = 5/(-1) = -5

∂f/∂z = -((8(5) + 5(6))/(-1)^2) = -46

So, the gradient vector (∇f) at the point (5, 6, -1) is (-8, -5, -46).

The maximum rate of change of f at this point is given by the magnitude of the gradient vector:

|∇f| = √((-8)^2 + (-5)^2 + (-46)^2) = √(64 + 25 + 2116) = √2205 = 47.

Therefore, the maximum rate of change of f at the point (5, 6, -1) is 47.

To determine the direction in which this maximum rate of change occurs, we normalize the gradient vector by dividing it by its magnitude:

Direction vector = (∇f) / |∇f| = (-8/47, -5/47, -46/47).

Hence, the direction in which the maximum rate of change of f occurs at the point (5, 6, -1) is approximately (-0.17, -0.11, -0.98).

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Answer:

Insert the table

Step-by-step explanation:

There is no table above

The probability that they can be arranged into a group of three consecutive cards, all of the same suit, is 0.002.

Probability is a measure of the likelihood of an event occurring. It is expressed as a number between 0 and 1, with 0 indicating that the event will not occur and 1 indicating that the event will definitely occur.

If 3 cards are chosen at random from a standard 52-card deck, then the total number of possible outcomes is:

52C3 = 22100

For a single suit, there are 11 possible ways for three cards to be consecutive cards. So, the total number of desired outcomes is:

11 x 4 = 44

Solve for the probability.

p = 44 / 22,100 = 0.002

Therefore, the probability is 0.002.

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Answer:

50.90 cm

Step-by-step explanation:

The computation of the circumference of this circle is shown below:

As we know that

The circumference of this circle is

= 2πr

where

π is 3.142

r = diameter ÷ 2

= 16.8 ÷ 2

= 8.1 cm

So, the circumference of the circle is

= 2 × 3.142 × 8.1 cm

= 50.90 cm

The decimal value of 'z' after running the given code is 220.

The code initializes a short integer 'x' with the value -36, which is represented in binary as 11011100. Since the machine uses 1 byte for a short integer, 'x' is stored using 1 byte.

Then, 'x' is assigned to an integer 'y'. Since 'y' is an int, it uses 2 bytes to store the value. However, the binary representation of -36 (11011100) can be accommodated within the 2 bytes.

Finally, 'y' is cast to an unsigned int 'z'. The cast discards the sign bit, converting the value to its unsigned representation. Since 'z' is unsigned, it also uses 2 bytes to store the value. Therefore, the binary representation of -36 (11011100) is interpreted as a positive value, resulting in the decimal value 220.

In summary, the decimal value of 'z' is 220 because the negative value -36 is represented in binary as 11011100, which is interpreted as a positive value when cast to an unsigned int.

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Answer:

25, 34, 43

Step-by-step explanation:

-11 + x = -2, -11 + 9 = -2                -2 + x = 7, -2 + 9 = 7,  7 + 9 = 16                             -2 - x = -11, -2 - 9 = -11                   7 - x = - 2,                                                               2 + x = 11,  11 - 2 = 9, 9 = x            7 - 7 = 0 - 2 = -2,   7 + 2 = 9,    7 - 9 = -2    

16 + 9 = 25,   25 + 9 = 34,   34 + 9 = 43              

J'espère que cela pourra aider : )                                                    

Let's assume the number of cars that require 5 quarts of oil is represented by x, and the number of cars that require 6 quarts of oil is represented by y. We know that 75% of the cars require 5 quarts and 25% require 6 quarts. The calculations show that x = 600 and y = 540.  Since x represents the number of cars that require 5 quarts of oil and y represents the number of cars that require 6 quarts of oil,

From this information, we can set up the following equations:

0.75x + 0.25y = total number of cars

5x + 6y = 2520 (the total amount of oil used, given in quarts)To solve these equations, we can multiply the first equation by 5 to eliminate the decimals: 3.75x + 1.25y = total number of cars Now we have a system of two equations: 3.75x + 1.25y = total number of cars 5x + 6y = 2520 By solving this system of equations, we can find the values of x and y. the total number of cars that got an oil change at Ami's shop last month is x + y = 600 + 540 = 1140. Therefore, 1140 cars received an oil change at Ami's shop last month.

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Answer:

\(y+x+2=0\)

Step-by-step explanation:

\(\frac{y-(-1)}{x-(-1)}=-1\\ \frac{y+1}{x+1}=-1\\y+1=-x-1\\y+x+2=0\)

Answer:

-8

Step-by-step explanation:

Answer:

Step-by-step explanation:

Unfortunately other people have promised to give Brainliest before and they never did. However, I'll answer the third question and tell you that it's 8 sides.

The total cost of power generation for a specific load demand can be calculated by optimally allocating the load demand to each unit based on their power output limits. The allocation is done in a way that minimizes the overall cost while meeting the load demand.

In the given power system depicted in Figure 1, there are three units that are always running. Each unit has specific characteristics regarding their minimum power output (Pmin), maximum power output (Pmax), and incremental cost (Ci). Let's discuss the characteristics of each unit and calculate the total cost of power generation for a given load demand.

Unit 1:

Pmin = 200 MW

Pmax = 500 MW

Ci = $50/MWh

Unit 2:

Pmin = 150 MW

Pmax = 400 MW

Ci = $40/MWh

Unit 3:

Pmin = 100 MW

Pmax = 300 MW

Ci = $30/MWh

To calculate the total cost of power generation for a given load demand, we need to determine the optimal power output for each unit. We start by considering the units with the lowest incremental cost first.

Suppose the load demand is D MW. We allocate the load demand to the units as follows:

Step 1: Check if Unit 1 can meet the load demand within its power range. If yes, allocate the load demand to Unit 1 and calculate the cost:

Cost1 = Ci * P1, where P1 is the power output of Unit 1.

Step 2: If there is still remaining load demand, allocate it to Unit 2:

Cost2 = Ci * P2, where P2 is the power output of Unit 2.

Step 3: If there is still remaining load demand, allocate it to Unit 3:

Cost3 = Ci * P3, where P3 is the power output of Unit 3.

Finally, the total cost of power generation, Cost_total, is the sum of Cost1, Cost2, and Cost3:

Cost_total = Cost1 + Cost2 + Cost3

To find the optimal power output for each unit, we consider the load demand and compare it to the minimum and maximum power output limits for each unit. The power allocation is based on meeting the load demand while minimizing the overall cost of power generation.

In summary, given the characteristics of the three units in the power system (Pmin, Pmax, and Ci), the total cost of power generation for a specific load demand can be calculated by optimally allocating the load demand to each unit based on their power output limits. The allocation is done in a way that minimizes the overall cost while meeting the load demand.

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Answer:

m-n/2

Step-by-step explanation:

we are here given that,

\(\longrightarrow \log_{a}(15)=m \) and ,

\(\longrightarrow \log_{a}(5) = n \)

Taking the first given equation, we have;

\(\longrightarrow \log_{a}15=m \\ \)

\(\longrightarrow \log_{a}(5\times 3) = m\\\)

\(\longrightarrow \log_a 5 + \log_a 3 = m \)

now substitute the value from second equation,

\(\longrightarrow n + \log_a 3 = m \\ \)

\(\longrightarrow \log_a(\sqrt3)^2 = m - n \\ \)

\(\longrightarrow 2 log_a \sqrt3 = m - n \\ \)

\(\longrightarrow \underline{\underline{ \log_a \sqrt3 = \dfrac{m-n}{2}}} \)

And we are done!

The second deal is better and the unit rate of the better deal is;

⇒ $39 per gram.

What is Division method?

Division method is used to distributing a group of things into equal parts. Division is just opposite of multiplications.

For example, dividing 20 by 2 means splitting 20 into 2 equal groups of 10.

Given that;

The pair of better deal are,

⇒ $224 for 7 g

⇒ $324 for 9 g

Now,

First deal is,

⇒ $224 for 7 g

So, For 1 gram = $224 / 7

                      = $32

And, Second deal is;

⇒ $324 for 9 g

So, For 1 gram = $324 / 7

                      = $39

Thus, The second deal is better and the unit rate of the better deal is;

⇒ $39 per gram.

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Answer:

Step-by-step explanation:

\(\sf x^3-1\)

Let's rewrite 1 as 1 ^3.

\(\sf x^3-1^3\)

Now, we can apply the "Difference of Cubes Formula".

\(\boxed{\sf x^3-y^3=\left(x-y\right)\left(x^2+xy+y^2\right)}\)

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