the jet stream is a wind current that flows across the US from west to east. Flying with the jet stream, an airplane flew 2700 miles in 4.5 hours. Against the same wind, the return trip took 6 hours. Find the speed of the plane in stil air and the speed of the jet stream.

Answers

Answer 1

Answer:

The speed of the plane in still air and the speed of the jet stream are 525 miles per hour and 75 miles per hour.

Step-by-step explanation:

From Mechanical Physics, we know that absolute velocity of the airplane ([tex]v_{A}[/tex]) is equal to sum of the absolute velocity of the jet steam [tex](v_{J})[/tex] and the relative velocity of the airplane with respect to jet stream (velocity of the airplane in still air) ([tex]v_{A/J}[/tex]). Al velocities are measured in miles per hour. Let suppose that both jet stream and airplanes travels at constant velocity. Now, we construct the following system of linear equations:

Flight with the jet stream

[tex]v_{J}+v_{A/J} = \frac{2700\,mi}{4.5\,h}[/tex]

[tex]v_{J}+v_{A/J} = 600\,\frac{mi}{h}[/tex] (1)

Flight against the jet stream

[tex]v_{J} -v_{A/J} = -\frac{2700\,mi}{6\,h}[/tex]

[tex]v_{J}-v_{A/J} = -450\,\frac{mi}{h}[/tex] (2)

The solution of this system of linear equations is:

[tex]v_{J} = 75\,\frac{mi}{h}[/tex], [tex]v_{A/J} = 525\,\frac{mi}{h}[/tex]

The speed of the plane in still air and the speed of the jet stream are 525 miles per hour and 75 miles per hour.


Related Questions

PLEASE ANSWER ASAP !!!!!!!!!!!!!!!!!!! WILL GET BRAINLEST IF CORRECT!!!!!!!!!!!!!!!!!!!!!!

Answers

Answer:

x=50

Step-by-step explanation:

50 + 2x =150

x=50

or

50+30+2x=180

x=50

Manny runs 15 3/4 miles each week. Zander runs 5/6 as many miles each week as Manny.

How many miles does Zander run each week?

Enter your answer as a mixed number in simplest form by filling in the boxes.

Answers

Answer:

Zander ran 13 1/8 miles

Step-by-step explanation:

Manny = M

Zander = Z

Z=M(5/6)

Z=15 3/4(5/6)

Z=13 1/8

Is the function shown linear or nonlinear? Explain your answer.

Answers

Is there supposed to be a picture i don’t see one

Brooklyn invested $25,000 in an account paying an interest rate of 6.8% compounded monthly. Assuming no deposits or withdrawals are made, how long would it take, to the nearest year, for the value of the account to reach $65,500 ?

Answers

Answer:

14.204 years

Step-by-step explanation:

Answer:

14

Step-by-step explanation:

A. 130 degrees
B. 50 degrees
C. 95 degrees
D. 35 degrees
Help!

Answers

Answer:

B. 50°

Step-by-step explanation:

hope it help u

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Answer:

A . 130

i think so it it correct

Help me please I need it.

Answers

Answer:

Step-by-step explanation:

multiply all number on one

multiply all number on two

multiply all number on three

1 ton = 2,000 lbs. Convert 12,000 pounds (lbs) to tons. Please give answer in decimals. tons​

Answers

Answer:

12,000 ibs = 6 ton

divide 12,000 by 2,000 to get this answer

Step-by-step explanation:

so in decimal form is 0.06 ( move two places to left)  

Write the standard form of the equation of the circle below.
Center (0,-1) passes through the point (-1,-2)

Answers

Answer:

[tex]x^2+(y+1)^2=2[/tex]

Step-by-step explanation:

We use the formula for a circle with center at (0, -1), that goes through the (x, y) point (-1, -2):

[tex](x-0)^2 + (y-(-1))^2 = R^2\\Using \,\,\,point\,\,\,(-1, -2)\\(-1-0)^2+ (-2+1)^2 = 1 + 1 = 2 = R^2[/tex]

Therefore, the equation of this circle can be written as:

[tex]x^2+(y+1)^2=2[/tex]

pls awnser asap plplplplplplplplplplplplp

Answers

Answer:

14/6

Step-by-step explanation:

5x + y = 6
5x + 3y=-4
The y-coordinate of the solution to the system shown is
-5
01
1
2
0-1

Answers

Answer:

I think it’s -5

God bless you & have a beautiful rest of your day “and sorry if it didn’t help”.

Find the vertex and focus of the parabola.
x^2 + 4x - 8y + 12 = 0​

Answers

The Vertex is (-2,1)

And the focus is  (-2,3)

We are learning percentage so pls answer this question for me.
What is 10% of 332

Answers

Answer:

Step-by-step explanation:

The answer is 33.2

Answer:

33.2

Step-by-step explanation:

332*0.1=33.2

Which is the answer? help me

Answers

I think it’s the first one, when I did the math it was the closest to what I received.

Furthermore, 1/3 is roughly 33.3% or 0.33 and 32 is the closest to that number


John has 78 total cows, and was excited to have 65 calves this season. What percentage calf crop
did John achieve?

Answers

Answer:

83%

Step-by-step explanation:

65/78=.83333333333333

0.833333333 turnes into 83% once rounded and multipyled by 100

The number line graph below is the graph of which of the following
inequalities?

-2 B
-2 5x and 5 X
C
-2 sx or 5 x
D
-2 x or 5 SX
E
-2 2 x or 5 X

Answers

Step-by-step explanation:Graph inequalities or systems of inequalities with our free step-by-step math ... This system is composed of two number lines that are perpendicular at their zero points. ... You can usually find examples of these graphs in the financial section of a ... and below the line while all the points that will not are above and to the right.

What is the median price of the watches in dollars?

Answers

Answer:

18

Step-by-step explanation:

what is the equation for the line shown? picture attached. ​

Answers

the first one

slope is rise/run so from (2,-1) to (0,2) you go up 3 and over 2

so it’s (3/2)x

and the line is going down when looking at it from left to right so we know it’s negative

then the other number is where the line crosses the y axis, which is positive 2

Which pair
angles must be supplementary?
21
5
3 4

Answers

4 and 1

Step-by-step explanation:

Supplementary means the angle is 180 degrees so 4 is the only complete obvious 180 degree angle and 1 just cause i know it can't be 5.

Answer:

C. 4 and 5

I hope I was able to help.

George buys pizza. He eats 3/8 of pizza for lunch and 1/4 of the pizza for dinner

Answers

Answer:

Step-by-step explanation:

To find the amount he ate we just add the fractions:

3/8 +1/2 = 7/8 or 0.875

HOPE THIS HELPS!

HAVE A GR8 DAY ;-)

PLEASE HELP ILL GIVE BRAINLIEST AND FOLLOW using y=mx+b form

Answers

Answer:

y=3x

Step-by-step explanation:

The equation of a line can be written as 'y=mx+b', where 'm' is the slope, 'b' is a number, and 'x' and 'y' represent the 'x' and 'y' co-ordinates of any point on the line.

To find the slope m, take two points (x₁,y₁) and (x₂,y₂) and use the formula

m= (y₂-y₁)/(x₂-x₁)

Our points are (1,3) and (2,6):

(6-3)/(2-1)=3/1=3

Now that we have found the slope, we can write the equation as

y=3x+b

To find b, sub in a point:

9=3(3)+b

9=9+b

b=0

So our equation is y=3x

Ms. Cabrera buys songs from the music website. She buys 25 songs for $13. How much does each song cost?

Answers

Answer:

$0.52

Step-by-step explanation:

25/13= 1.92
Each song cost $1.92

Suppose that an individual has a body fat percentage of 18.9% and weighs 177 pounds. How many pounds of his weight is made up of fat? Round your answer
to the nearest tenth.

Answers

34 pounds are made up of fat

In ΔSTU, u = 84 inches, s = 13 inches and ∠T=165°. Find the length of t, to the nearest inch.

Answers

Answer:

97

Step-by-step explanation:

I used the law of cosines:  [tex]t^{2} =s^{2} +u^{2} -2tu cos (t)[/tex]

Let plug the numbers in :  t^2=[tex]13^{2} +84^{2} -2(13)(84)cos (165)[/tex] which approx is 97 to the nearest inch.

The length of 't' is approximately 69 inches.

How to calculate the length?

To find the length of t, we can use the Law of Cosines, which states that for any triangle with sides a, b, and c and opposite angles A, B, and C, respectively:

a²= b² + c² - 2bc cos(A)

In this case, we want to find the length of t, which is opposite to the given angle ∠T. We know that:

u = 84 inches (opposite to angle ∠U)

s = 13 inches (opposite to angle ∠S)

∠T = 165°

Let's substitute these values into the Law of Cosines:

t² = u²+ s²- 2us cos(T)

t²= (84)²+ (13)² - 2(84)(13) cos(165°)

t²= 7,056 + 169 - 2(84)(13)(cos(180°-15°))

t²= 7,225 - 2(84)(13)(cos(15°))

t²= 7,225 - 2(84)(13)(0.9659)

t²= 7,225 - 2,485.68

t² = 4,739.32

t ≈ 68.86

Rounding to the nearest inch, the length of t is approximately 69 inches.

To know more about the law of cosines follow

https://brainly.com/question/13098194

#SPJ2

Q. One yard equals three feet. How many
yards are there in 63 feet? Type your
answer in the box
yards.

Answers

Answer:

21 yards

Step-by-step explanation:

There will be 21 yards in 63 feet of the measurement.

What is an expression?

Expression in maths is defined as the relation of numbers variables and functions by using mathematical signs like addition, subtraction, multiplication and division.

Given that one yard is equal to three feet. There are 63 feet of measurement.

The value of 63 feet in yards will be calculated as:-

1 yard = 3 feet

1 feet = 1 / 3  yards

63 feet = ( 63 / 3 ) yards

63 feet = 21 yards

Therefore, there are 21 yards in 63 feet of the measurement.

To know more about an expression follow

https://brainly.com/question/358500

#SPJ2

A sample prepared for a chemical measurement is completed correctly by 21% of the lab technicians, completed with minor error by 70% and completed with a major error by 9%. Round your answers to three decimal places (e.g. 98.765).(a) If a technician is selected randomly to complete the preparation, what is the probability it is completed without error?(b) What is the probability that it is completed with either a minor or major error?

Answers

Answer:

0.210 ; 0.790

Step-by-step explanation:

Given that:

Percentage of correct completion by technician = 21%

Percentage of minor error = 70%

Major error in chemical measurement of sample = 9%

A.) probability that a randomly selected technician completes preparation without error:

This is equal to the percentage of correct completion by technicians :

P(correct completion) = 21% = 0.210

B.) probability that it is completed with either a minor or major error :

P(completion with minor error) + P(completion with major error)

= 70% + 9%

= 0.70 + 0.09

= 0.790

What is the value of x in the equation below?
4(x + 1) = 3x +7

Answers

Answer:

89

Step-by-step explanation:

4(x+1) = 3x + 7
4x + 4 = 3x + 7
4x + 4 - 3x = 7
x + 4 = 7
x = 7 - 4
x= 3

Write an algebraic expression. The product of two numbers is 94, and one of the numbers is n. What is the other number?

Answers

Answer:

Let say the another number y

N×Y=94

Y=94/N

So the algebric expression is 94/N

16. A car leaves a parking lot and travels directly north for
6 miles. It then turns and travels 8 miles east. How many
miles is the car from the parking lot?

Answers

Answer:

The car is 10 miles from parking lot.

Step-by-step explanation:

Given that:

The car travels 6 miles north and 8 miles east.

This forms the two legs of a right angled triangle.

The distance from car to parking lot will be hypotenuse.

Using Pythagorean theorem;

[tex]a^2+b^2=c^2\\(6)^2+(8)^2= c^2\\c^2 = 36 + 64 \\c^2 = 100[/tex]

Taking square root on both sides

[tex]\sqrt{c^2}=\sqrt{100}\\c=10[/tex]

Hence,

The car is 10 miles from parking lot.

a single card is drawn at random from a standard 52-card deck work out the full in their simplest form. P(heart)
P(not heart)



Answers

Answer:

Total Number of possible outcomes = 52

Getting a jack from a deck of 52 cards for a certain event (A) = 4

The Probability (A) = 4/ 52

= 1 / 13 = 0.07

Step-by-step explanation:

this isn't my answer but hope it helps.

I need help :D NOW or else

Answers

Answer:

plasma

Step-by-step explanation:

just not photosynthesis or gravity so it has to be plasma

also:

The aurora borealis (northern lights) form when charged particles emitted from the sun during a solar flare penetrate the earth's magnetic shield and collide with atoms and molecules in our atmosphere.

and

Because it consists of charged particles, plasma can conduct electricity and respond to a magnetic field.

^^bolded stuff is connected points to make plasma the answer

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