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4 years ago

Can someone help me solve this. I’ve been stuck on it.

Mathematics

2 answers:

ki77a [65]4 years ago

8 0

Answer:

Hmmm... Idk

Step-by-step explanation:

Papessa [141]4 years ago

4 0

Answer:

31381060121

Step-by-step explanation:

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A plane traveled 1248 miles to Ft. Worth and back. The trip there was with the wind. It took 12

Artemon [7]

speed of the plane in still air is 76 m/s and speed of the wind is 28 m/s .

<u>Step-by-step explanation:</u>

Here we have , A plane traveled 1248 miles to Ft. Worth and back. The trip there was with the wind. It took 12 hours. The trip back was into the wind. The trip back took 24 hours. We need to find What is the speed of the plane in still air? What is the speed of the wind? Let's find out :

<u>For Going trip :</u>

Let speed of plane be u , and wind be v so : Speed = ( Distance ) / ( time )

⇒ $u+v = \frac{1248}{12}$

⇒ $u+v = 104$ ...........(1)

<u>For Returning Trip :</u>

⇒ $u-v = \frac{1248}{24}$

⇒ $u-v = 52$ ...........(2)

Adding both equations we get :

⇒ $(u+v)+(u-v)=104+52$

⇒ $2u=156$

⇒ $u= 76m/s$

Putting this value in equation (1) we get :

⇒ $76+v = 104$

⇒ $v=28m/s$

Therefore , speed of the plane in still air is 76 m/s and speed of the wind is 28 m/s .

6 0

3 years ago

Estandieu's cell phone plan includes 4 GB of data. On the 2nd day of his 31 day billing

Hitman42 [59]

Answer:78

Step-by-step explanation:

8 0

3 years ago

Read 2 more answers

You can helps me? <br>f(x) = x + 20 <br>g(x) = x + 5 <br>(f o g) (2) = ?

pav-90 [236]

<h2>♪Answer : </h2>

f(x) = x + 20
g(x) = x + 5

»(f o g)(2)

find (f o g)(x)

»f(g(x))

»f(x + 5)

»x + 5 + 20

»x + 25

so, (f o g)(2) is

»2 + 25

»27✅

3 0

2 years ago

Read 2 more answers

The function D(t) defines a traveler's distance from home, in miles, as a function of time, in hours. D(t) = StartLayout enlarge

nalin [4]

- At 2 hours, the traveler is 725 miles from home.

- At 3 hours, the distance is constant, at 880 miles. --> TRUE.

- The total distance from home after 6 hours is 1,062.5 miles --> TRUE.

Step-by-step explanation:

The function D(t) is defined as follows:

$D(t) = 300t+125$ for $t< 2.5$

$D(t) = 880$ for $2.5 \leq 3.5$

$D(t) = 75t+612.5$ for $t\leq 6$

Where

t is the time in hours

D(t) is the distance covered, in miles, after t hours

Now let's analyze the different statements:

- The starting distance, at 0 hours, is 300 miles. --> FALSE. In fact, if we substitute t = 0 into the 1st equation, we get

$D(0) = (300)(0)+125 = 125$

So, the distance at t = 0 is 125 miles.

- At 2 hours, the traveler is 725 miles from home. --> TRUE. In fact, if we substitute t = 2 into the 1st equation,

$D(2) = (300)(2)+125 = 725$

- At 2.5 hours, the traveler is 875 miles from home. --> FALSE. In fact, for t=2.5 we have to use the 2nd equation, which states that the distance is:

D(t) = 880

So, not 875 miles.

- At 3 hours, the distance is constant, at 880 miles. --> TRUE. This is clearly visible from the 2nd equation: for t between 2.5 and 3.5 (so, in this case), the distance is

D(t) = 880

- The total distance from home after 6 hours is 1,062.5 miles --> TRUE. In fact, if we replace t = 6 into the last equation,

$D(6)) = 75(6)+612.5=1062.5$