Flying to Havana with a tailwind a plane averaged 258 km/h. On the return trip the plane only
averaged 218 km/h while flying back into the same wind. Find the speed of the plane in still air
and the speed of the wind.

Answer:

27

Step-by-step explanation:

If  [tex]f(x) = \frac{1}{2x^2} - \frac{1}{4x +3}[/tex],  then the value of  [tex]f(8)[/tex] is  [tex]f(8) = \frac{-93}{4480}[/tex].

A quadratic equation is an algebraic equation in the variable of the second degree. The quadratic equation is in the form of [tex]ax^{2} + bx + c = 0[/tex], where [tex]a,b,c[/tex]  are the real numbers.

We have

[tex]f(x) = \frac{1}{2x^2} - \frac{1}{4x +3}[/tex]

According to Quadratic Equation,

[tex]f(x)=ax^{2} +bx+c[/tex]

And we have,

[tex]f(x) = \frac{1}{2x^2} - \frac{1}{4x +3}[/tex]

So,

[tex]f(8) = \frac{1}{2x^2} - \frac{1}{4x +3}[/tex]

i.e. putting [tex]x=8[/tex],

[tex]f(8) = \frac{1}{2(8)^2} - \frac{1}{4*8 +3}[/tex]

[tex]f(8) = \frac{1}{128} - \frac{1}{35}[/tex]

Solving the above part,

[tex]f(8) = \frac{ 35-128 }{ 128*35 }[/tex]

[tex]f(8) = \frac{-93}{4480}[/tex]

Hence, we can say that value of  [tex]f(8) = \frac{-93}{4480}[/tex] .

To know more about Quadratic Equation click here

https://brainly.com/question/2263981

#SPJ2

Answer:

10+3i

Step-by-step explanation:

Subtract 3 and 1 which is 2, Now the equation looks like this:

(12+3i)-(2)

Multiply the negative with 2:

12+3i-2

Subtract 12 and 2:

10+3i

Answer: 10+3i

Hope this helps!

Answer:

x=4 y=6

Step-by-step explanation:

Answer:

3 cups per batch

Step-by-step explanation:

Answer:

3

Step-by-step explanation:

What is 9 divided by 3.... 3 ok so that is your answer. Hope this helped you!! Give brainliest..

Answer:

88

Step-by-step explanation:

8-1=7

    +3

18-8=10

       +3

31-18=13

        +3

47-31=16

          +3

66-47 = 19

             +3

x - 66 = 22

  +66   +66

x= 88

Answer:

its positive

Step-by-step explanation:

because the line going upward

Answer:

positive

Step-by-step explanation:

Answer:

She will have 17 and 3/5 cups of green paint.

Step-by-step explanation:

1. Identify your key factors:

Yellow paint: 4/5

Blue paint: 4/5

Mixes: 11 batches.

2. Arrange and solve:

4/5 x 11/1 = 44/5 x 2/1 = 88/5

[4/5 is the same amount for eithr paint so multiplying it by 2 is will give the same result, it's just less work.]

3. Simplify:

17 3/5, decimal 17.6

Answer:

A right 2 1 up

B the equivalent ratios

C the same

Step-by-step explanation:

Answer:

a zeros

Step-by-step explanation:

The height that the golf ball travels from its starting point to the point where it begins to fall toward the ground can be calculated using the zeros of the equations. Option A is correct.

An equation is a statement that two expressions, which include variables and/or numbers, are equal. In essence, equations are questions, and efforts to systematically find solutions to these questions have been the driving forces behind the creation of mathematics.

It is given that, a golfer hits a ball off a tee. The height of the golf ball in the coordinate plane is represented by a quadratic function, with the origin being the golf ball's initial position.

The equations give the relation of height, time, and velocity in terms of the quadratic equation is,

h = -t² + vt + s,

Since s is the height in feet and v is the initial velocity in feet/second, one may determine the ball's maximum height.

After solving the equation and finding the values of zeroes gives the maximum height.

Thus, the height that the golf ball travels from its starting point to the point where it begins to fall toward the ground can be calculated using the zeros of the equations. Option A is correct.

Learn more about the equation here,

https://brainly.com/question/10413253

#SPJ2

Answer:

No se

Step-by-step explanation:

Answer:

B is the answer

Step-by-step explanation:

Part A) 8*25=200 less 2x15= $170

Part B 3*25 = $75 less 6x15= $90- Total loss $15 (75-90)

etc

Answer:

.52

Step-by-step explanation:

math ting

Answer:2x1=2 2x2=4 2x3=6 2x4=8 2x5=10 2x6=12 2x7=14 2x8=16 2x9=18 2x10=20 2x11=22 2x12=24

Step-by-step explanation:

Those are the basics, just add 2 and that's it

Answer:

Step-by-step explanation:

2 times table

1 x 2 = 2

2 x 2 = 4

3 x 2 = 6

4 x 2 = 8

5 x 2 = 10

6 x 2 = 12

7 x 2 = 14

8 x 2 = 16

9 x 2 = 18

10 x 2 = 20

11 x 2 = 22

12 x 2 = 24

Answer:

Huilan is 12 and Thomas is 6

Step-by-step explanation:

Answer:

thomas is 6 years old

Step-by-step explanation:

if he is 6. 6x2=12 +6 =18

Answer:

1.33%

Step-by-step explanation:

[tex]Percentage\ change=(\frac{9.76-9.63}{9.76})100\\\\Percentage\ change=(\frac{0.13}{9.76})100\\\\Percentage\ change=1.33\\[/tex]

So the percentage decrease was about 1.33%

Answer:2 1/4

Step-by-step explanation: great job you found the answer. is this right?

Answer:

63/10

Step-by-step explanation:

Answer:

63/10

Step-by-step explanation:

6 3/10

see, from the denominator that means 10,

multiply to whole, then 10×6,

we got 60 right;

now add numerator 60+3 = 63

here we got improper fraction,

that is 63/10

Answer:

17%

Step-by-step explanation:

Answer:

179:321

Step-by-step explanation:

If Sn is the sum of the first n term of a sequence, the ratio will be expressed as:

Sn/S'n = 5n+4/9n+6

The sum of nth term of a sequence is expressed as

Sn = n/2[2a+(n-1)d]

The expression becomes

{n/2[2a+(n-1)d]}/{n/2[2a+(n-1)d']} = 5n+4/9n+4

Open the bracket

a+(n-1/2)d/a+(n-1/2)d' = 5n+4/9n+4

Since the 18th tern is expressed as

T18 = a+(18-1)d

T18 = a+17d

The expression becomes

T18/T'18 = a+(n-1/2)d/a+(n-1/2)d'

a+17d/a'+17d' = a+(n-1/2)d/a+(n-1/2)d'

Compare and contrast to get n

On comparing both sides of the equation

17 = n-1/2

n-1 = 17×2

n-1 = 34

n = 34+1

n = 35

If the nth term is 5n+4

18th term will be 5(35)+4 = 179

If the nth term is 9n+6

18th term will be 9(35)+6= 321

Hence the ratio of their 18th term will be 179:321

Answer:

Picture above

Step-by-step explanation:

This was created using Desmos, you can also use this to graph equations! It is online in a browser and a mobile app :)

Step-by-step explanation:

you go down 6 and put a dot there, and then you go up one and to the right 2, and put a dot there too. after, you just keep going up 1 right 2 and putting dots there, and you can also go down 1 to the left 2

That's it, I hope I helped! If I had a graph with me it would be way easier to explain, but I don't

Answer:

area of circle = 2464 cm²

Step-by-step explanation:

circumference = 176 cm

formula of circumference = 2πr

2πr = 176 cm

2 × 22/7 × r = 176 cm

44/7 ×r = 176 cm

r = 176 ÷ (44/7)

r = 176 × 7/44

r = 28 cm

area of circle

= πr²

= 22/7 × 28²

= 22/7 × 784

= 2464 cm²

Answer:

Step-by-step explanation:

y=0.860x17+3.302

foot is 17.992 inches long

Unfortunately, I don't have access to your data so i can't give a solid answer. However, I can tell you that if your coefficeint (number before x) is greater than 0.86, you have a greater rate of change. If its smaller, its a lower rate of change.

Answer: 17.922

Step-by-step explanation:

Answer:

A 8:12

Step-by-step explanation:

If you multiply 2 and 3 by 4 you get 8:12

Answer:

The correct answer is A

Answer:

$7

Step-by-step explanation:

84/12=7 each bottle is $7

Answer:

x=10/69

Step-by-step explanation:

Step 1: Simplify both sides of the equation.

Step 2: Add 34x to both sides.

Step 3: Add 3 to both sides.

Step 4: Multiply both sides by 2/69.

if my math is correct

Answer:

see below

Step-by-step explanation:

A.29 > | -29 |

Absolute value means take the non negative value

A.29 >  29

This is not true

B.| -22 | 22

Absolute value means take the non negative value

22 You do not have an inequality so we cannot solve this

D. | -29 | < | 0 |

Absolute value means take the non negative value

29 < 0

This is not true

Since A and D are not true,  B must be true

Answer:

1 2/21 liters

Step-by-step explanation:

Damon drank 2/3 liter of water Monday before going jogging. He drank 3/7 liter of water after his jog. How much water did Damon drink altogether?

Volume of water Damon drank before jogging = 2/3 liters

Volume of water Damon drank after jogging = 3/7 liters

Total volume of water Damon drank altogether = 2/3 liters + 3/7 liters

= 2/3 + 3/7

= 14+9/21

= 23/21

= 1 2/21

Total volume of water Damon drank altogether = 1 2/21 liters

Step-by-step explanation:

p(q-r) = pq - pr

Hope it helps