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Tresset [83]
2 years ago
14

An airplane flies to San Francisco from Los Angeles in 4 hours. It flies back in 3 hours. If the wind is blowing from the north

at a velocity of 20 mph during both flights, what was the airspeed of the plane (its speed in still air)?
Mathematics
1 answer:
Sedaia [141]2 years ago
4 0

Answer:

Airspeed in still air:  140 mph

Step-by-step explanation:

Let s represent the speed in still air.  Recognize that the distance traveled is the same in either direction.

Also note that SF is north of LA.

Distance to SF from LA     =      Distance to LA from SF

(s-20)(mph)(4 hr)                 =    (s+20)(mph)(3 hr)

Then:

4s - 80 = 3s + 60 => s = 60 + 80 + 140 (mph)

The airspeed of the plane was 140 mph in still air.  With a tail wind, the plane  is faster; with a headwind, slower.

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What is the domain of the function y = 2 StartRoot x minus 5 EndRoot?
Juli2301 [7.4K]

Answer:

The domain of the function should be:

'x greater than or equal to negative -5'.

Hence, option A is true.

Step-by-step explanation:

Given the expression

2\sqrt{x-5}

The domain of a function is the set of input or arguments for which the function is real and defined

We know that the value, inside the radicand, is the number found inside a radical symbol which must be greater than 0, otherwise, it would make the function undefined,

i.e.

x-5 ≥ 0

x ≥ 5

In other words, the domain of the function should be:

'x greater than or equal to negative -5'.

Therefore, the domain of the function:

x ≥ 5

\mathrm{Domain\:of\:}\:2\sqrt{x-5}\::\quad \begin{bmatrix}\mathrm{Solution:}\:&\:x\ge \:5\:\\ \:\mathrm{Interval\:Notation:}&\:[5,\:\infty \:)\end{bmatrix}

Hence, option A is true.

3 0
2 years ago
Read 2 more answers
What is the surface of a sphere with the radius of 5 ft
iragen [17]

Hello there, to answer your question...

Surface Area =  4πr2

=  4×π×52

=  100π

<h2>=  314.159</h2>

5 0
3 years ago
How many times does she expect to draw a marble that isn’t red
otez555 [7]
There is a 50/50 chance she does or doesnt take a red marble out the back so its most likely 40 times because of how there are other 2 colors and she is putting back the marbles in the bag
4 0
2 years ago
When playing roulette at a​ casino, a gambler is trying to decide whether to bet $5 on the number 25 or to bet $5 that the outco
USPshnik [31]

Answer:

a) -$3.03; b) The $5 on the number 25

Step-by-step explanation:

To find the expected value, multiply each probability by its value and then add them together.

The probability of making a profit of $20 is 3/38; this gives us

3/38(20) = 60/38

The probability of losing $5 is 35/38; this gives us

35/38(-5) = -175/38

Together, this gives us

60/38-175/38 = -115/38 ≈ $-3.03

b) Since the expected value for the $5 bet on a single number is $-0.53, and the expected value for the $5 on either 00, 0 or 1 is $-3.03, the better bet is on the number 25.  The expected value loses less money with this option.

8 0
3 years ago
Mr kamal wants to buy a shirt marked at 65 dollar if he given a 10 percent discount how much does he need to pay
JulijaS [17]

Answer:

<h2><em>5</em><em>8</em><em>.</em><em>5</em><em> </em><em>dollar</em></h2>

solution \\ marked \: price = 65 \: dollar \\ discount \: percent = 10 \\ discount \: amount \\  = discount \: percent \: of \: mp \\  = 10 \: of \: 65 \\  = 6.5 \: dollar \\ selling \: price = mp - discount \\  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  = 65 - 6.5 \\  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  = 58.5 \: dollar

hope this helps..

Good luck on your assignment

8 0
3 years ago
Read 2 more answers
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