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adelina 88 [10]
3 years ago
7

an aircraft flew 5 hours with the wind. the return trip took 6 hours against the wind. if the speed of the plane in still air is

220 miles per hour more than the speed of the wind, find the wind speed and the speed of the plane in still air​
Mathematics
1 answer:
olga2289 [7]3 years ago
7 0

w = 37.846 mph (wind rate)
plane speed in still air: 492 mph
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Answer:

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What is the value of f(3) when f(x) = 4x + 1
valentina_108 [34]

Here is the equation:

f(x)=4x+1

You need to find f(3). To do that, substitute all the x's with 3:

f(x)=4x+1 \rightarrow f(3)=4\times3 + 1

The first thing you need to do is multiply 4 by 3. Multiply:

4 \times 3 = 12

Here is your new equation:

f(3)=12+1

To get your answer, you need to add 12 and 1. Add:

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3 years ago
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Required information Skip to question A die (six faces) has the number 1 painted on two of its faces, the number 2 painted on th
grigory [225]

Answer:

The change to the face 3 affects the value of P(Odd Number)

Step-by-step explanation:

Analysing the question one statement at a time.

Before the face with 3 is loaded to be twice likely to come up.

The sample space is:

S = \{1,1,2,2,2,3\}

And the probability of each is:

P(1) = \frac{n(1)}{n(s)}

P(1) = \frac{2}{6}

P(1) = \frac{1}{3}

P(2) = \frac{n(2)}{n(s)}

P(2) = \frac{3}{6}

P(2) = \frac{1}{2}

P(3) = \frac{n(3)}{n(s)}

P(3) = \frac{1}{6}

P(Odd Number) is then calculated as:

P(Odd\ Number) =  P(1) + P(3)

P(Odd\ Number) = \frac{1}{3} + \frac{1}{6}

Take LCM

P(Odd\ Number) = \frac{2+1}{6}

P(Odd\ Number) = \frac{3}{6}

P(Odd\ Number) =  \frac{1}{2}

After the face with 3 is loaded to be twice likely to come up.

The sample space becomes:

S = \{1,1,2,2,2,3,3\}

The probability of each is:

P(1) = \frac{n(1)}{n(s)}

P(1) = \frac{2}{7}

P(2) = \frac{n(2)}{n(s)}

P(2) = \frac{3}{7}

P(3) = \frac{n(3)}{n(s)}

P(3) = \frac{1}{7}

P(Odd\ Number) = P(1) + P(3)

P(Odd\ Number) = \frac{2}{7} + \frac{1}{7}

Take LCM

P(Odd\ Number) = \frac{2+1}{7}

P(Odd\ Number) = \frac{3}{7}

Comparing P(Odd Number) before and after

P(Odd\ Number) =  \frac{1}{2} --- Before

P(Odd\ Number) = \frac{3}{7} --- After

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Juliette [100K]

Answer:

Minimum unit cost = 5,858

Step-by-step explanation:

Given the function : C(x)=x^2−520x+73458

To find the minimum unit cost :

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dC/dx = 2x - 520

Set = 0

2x - 520

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To minimize unit cost, 260 engines must be produced

Hence, minimum unit cost will be :

C(x)=x^2−520x+73458

Put x = 260

C(260) = 260^2−520(260) + 73458

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7 0
3 years ago
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