For brainiest:):):):):):):):)

A plane flies from NY to Chicago, which is about 700 miles, at a speed of 330 mph. How long does the flight take? On a return tr

sashaice [31]

Answer:

Flight takes 2.12 hrs from NY to chicago

The tailwind speed was x = 143.4 mph

Step-by-step explanation:

Given:-

- The distance from NY to Chicago, d = 700 miles

- The speed of plane, vo = 330 mph

- The speed of tailwind = x

- The total time for round trip T = 3.7 hrs

Find:-

How long does the flight take?

how fast is the tailwind?

Solution:-

- The total time "T" of the round-trip consists of time taken "t1" for journey from NY to Chicago and time taken "t2" from Chicago to NY.

- Time taken from NY to Chicago (t1) = d / vo

= 700 / 330

= 2.1212 hrs

- Whereas, the time time taken (t2) on return journey from Chicago to NY with the help of tailwind with speed x was:

- Time taken from Chicago to NY (t2) = d / (vo+x)

- The total time taken for round-trip = T

- We will sum individual times "t1" and "t2" and equate to "T"

2.1212 + 700 / ( 300 + x ) = 3.7

- Re-arrange and solve for x:

700 = (3.7 - 2.1212)*(300 + x )

700 = 473.6364 + 1.5788x

x = 226.3636/1.5788

x = 143.38 mph

4 0

4 years ago

The path of a projectile launched from a 20-ft-tall tower is modeled by the equation y = -5x2 + 40x + 20. What is the maximum he

Otrada [13]

Answer:

30.49 m

Step-by-step explanation:

To obtain the maximum height, we solve for the value x when dy/dx = 0.

Since, y = -5x² + 40x + 20

dy/dx = d[-5x² + 40x + 20]/dx

dy/dx = -10x + 40

Since dy/dx = 0,

-10x + 40 = 0

-10x = -40

x = -40/-10

x = 4

Substituting x = 4 into the equation for y, we have

y = -5x² + 40x + 20

y = -5(4)² + 40(4) + 20

y = -5(16) + 160 + 20

y = -80 + 160 + 20

y = 80 + 20

y = 100 ft

Since y is in feet, we convert to meters.

Since 1 m = 3.28 ft, 100 ft = 100 ft × 1 m/3.28 ft = 30.49 m

So, the maximum height, in meters reached by the projectile is 30.49 m

3 0

3 years ago

a man income is rs12000 per month,if the rate of income tax is rs 2.50per rs 100,how much tax should be paid?

Setler [38]

Answer:

2.50/100*12000

2.50*12000/100

=300

5 0

4 years ago

PLZZZ help 50 pts

IrinaK [193]

(5,2) because of the cordainte plane x axais is down and its positive so you get 5,2

4 0

4 years ago

Read 2 more answers

Using the Fundamental Theorem of Algebra. Complete the following exercises. Show your work.

svp [43]

Answer:

A) - Quartic polynomial

- has four roots

- roots are; f(x) = (x + 5i)(x - 5i)(x + 2)(x - 2)

B) - Cubic polynomial

- has 3 roots

- roots are; f(x) = (x - 5)²(x + 5)

Step-by-step explanation:

A) f(x) = x⁴ + 21x² − 100

The highest power in this polynomial is 4 and thus, it is called a quartic polynomial. This means that it will have 4 roots.

Factorizing this polynomial gives;

f(x) = (x² + 25)(x² - 4)

Equating to zero, we can find the roots. Thus, the roots are;

x = 5i

x = -5i

x = 2

x = -2

Thus, the completely factorized polynomial is;

f(x) = (x + 5i)(x - 5i)(x + 2)(x - 2)

B) f(x) = x³ − 5x² − 25x + 125

The highest power in this polynomial is 3. It is therefore a cubic polynomial with 3 roots.

Factorizing this polynomial gives;

f(x) = (x² - 25)(x - 5)

Equating to zero and Factorizing gives;

x = 5

x = -5

x = 5

Thus, completely factorized with the roots is;

f(x) = (x - 5)²(x + 5)

4 0

3 years ago