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DanielleElmas [232]
2 years ago
15

A plane traveled 2565 miles with the wind in 4.5 hours and 2205 miles against the wind in the same amount of time. Find the spee

d of the plane in still air and the speed of the wind.
Mathematics
1 answer:
kherson [118]2 years ago
7 0

Answer:

  • plane: 530 mi/h
  • wind: 40 mi/h

Step-by-step explanation:

Let p and w represent the speeds of the plane and the wind. The relation between time, speed, and distance is ...

  speed = distance/time

  p +w = (2565 mi)/(4.5 h) = 570 mi/h

  p -w = (2205 mi)/(4.5 h) = 490 mi/h

Adding these speeds, we get ...

  (p +w) +(p -w) = (570) +(490) mi/h

  2p = 1060 mi/h

  p = 530 mi/h

Then the speed of the wind is ...

  w = 570 mi/h -p = (570 -530) mi/h = 40 mi/h

The plane's speed is 530 mi/h; the wind speed is 40 mi/h.

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A rock is thrown from the top of a building which measures 48 foot high. The graph shows the height, y, of the rock from the gro
zlopas [31]

Answer:

D.

Step-by-step explanation:

8 0
3 years ago
The weekly sales of Honolulu Red Oranges is given by q = 990 − 22p. Calculate the price elasticity of demand when the price is $
elena55 [62]

Answer:

E = -2. The demand is going down by 2% per 1% increase in price at that price level.

The price that gives a maximum revenue is $22.5. The maximum revenue is $9112.5

Step-by-step explanation:

The overall demand formula: Q = aP + b

Q = 990 - 22P

<u>Demand elasticity:</u>

At P = $30, the Q = 990 - 22×30 = 330. a = \frac{dQ}{dP} = -22

The formula for demand elasticity: E = \frac{dQ}{dP}×\frac{P}{Q}

Demand elasticity at $30: E = -22 × \frac{30}{330} = -2

So, The demand will be going down by 2% if 1% increase in price.

<u>Revenue:</u>

R = P×Q = P×(990 - 22P) = -22P² - 990P

R' = -44P - 990. The revenue is maximum when R' = 0

⇔0 = -44P - 990 ⇔ P = $22.5

At the P = $22.5, the Q = 990 - 22×22.5 = 495.

The maximum revenue = $22.5×495 = $11,137.5

7 0
3 years ago
Please help me real quick
Romashka-Z-Leto [24]

Answer:

Are you asking for both?

Step-by-step explanation:

I have both answers so which one should i do/help with.

Please explain properly.

3 0
2 years ago
Evaluate the expression 3.14(a2 + ab) when a = 3 and b = 4. (Input decimals only, such as 12.71, as the answer.)
Rama09 [41]
A= 3
b= 4

=3.14(a^2 + ab)
substitute the given a & b values in expression

=3.14((3)^2 + (3*4))
multiply inside parentheses

=3.14(9 + 12)
add inside parentheses

=3.14(21)
multiply

=65.94


ANSWER: 65.94

Hope this helps! :)
4 0
3 years ago
The world's population is expected to grow at a rate of 1.3% per year until at least the year 2020. In 1994 the total population
Marina CMI [18]
The solution to your problem is as follows:

Given: 
P₀ = 5,642×10^6 people, 
i = 1.3% = 0.013 per year, 
n = 2020 - 1994 = 26 years, 

We get: 
<span>
Pn = P₀ e^(i.n) </span>
. . .= 5,642×10^6×e^(0.013×26) 
<span>. . .= 7,911×10^6 people

Therefore, the </span>the world's predicted population in the year 2020 is <span>7,911×10^6 people.


I hope my answer has come to your help. Thank you for posting your question here in Brainly. We hope to answer more of your questions and inquiries soon. Have a nice day ahead!</span>
5 0
3 years ago
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