A plane is going to fly 300 miles at a planned speed of 530 mph. The flight will have an average headwind of w miles per hour the entire time, meaning the plane is flying directly against the wind. The time

Tin hours of the flight is a function of the speed of the headwind w, in mph, and can be modeled by

300

T(W) =

530-W


I need help with the bottom part. What does t(110) mean I’m this situation etc.

Answers

Answer 1

Answer:

T(100) represents that the plane flies against the wind at 110mph for 0.714 hours

Step-by-step explanation:

Given

[tex]w = headwind[/tex]

[tex]T = time[/tex]

Model:

[tex]T(w) = \frac{300}{530 - W}[/tex] -- This was not properly presented in your question

Required

What does T(110) means

First, we calculate T(110):

Substitute 110 for w in [tex]T(w) = \frac{300}{530 - W}[/tex]

The expression becomes

[tex]T(110) = \frac{300}{530 - 110}[/tex]

[tex]T(110) = \frac{300}{420}[/tex]

[tex]T(110) = 0.714[/tex] -- approximated

T(100) represents that the plane flies against the wind at 110mph for 0.714 hours


Related Questions

Given that f(x) = x2 + 4x – 45 and g(x) = x + 9, find f(x) = g(x) and
express the result in standard form.

Answers

2x + 4x - 45 = x + 9 --> (simplified) 6x - 45 = x + 9

you need to get x on one side. im gonna put it to the left since its easier (which side you move it to doesn't matter that much).

so you need to cancel out the x on the right (x + 9). we do this by subtracting x (or 1x) on both sides. our equation now looks like 5x - 45 = 9.

now we need to move our non-variable to the right. we do this by adding 45 on both sides. our equation now looks like 5x = 54.

we need to divide 54 by 5 so that x is alone. 54/5 = 10.8. x = 10.8

Pls help and show workings

Answers

The equation for line r is
y=-1/3x+5
Perpendicular slope would be 3 and passes through (3,-6)
-6=3(3)+b
-6=9+b
-9. -9
-15=b
y=3x-15
Plug in the x value of the point to see if it’s true
y=3(3)-15
y=9-15
y=-6
So the equation is y=3x-15 so the answers is c
3x-y=15
-3x. -3x
-y=-3x+15
Divide everything by -1
y=3x-15

Simplify each of the expressions below. Which of the expressions have a value between 0 and 10? Select all that apply.

Answers

Answer:

A and B

Step-by-step explanation:

A euqlas 4, B equals 5, c is -3 and d is -11

Help round all THE WAY decimal or fraction form!!

Answers

Answer:

The answer to the question provided is

[tex] \frac{1}{2} [/tex]

Identify the function shown in this graph.

O A. y=-3x+1
B. y = 3x + 1
C. y = 12+1
D. y = 3x - 1

Answers

Answer:

y = 3x + 1

Step-by-step explanation:

As you can see the y-intercept is at the number 1

and for the slope, if u do rise over run or y/x you get....

3/1 = 3

So the slope is 3

Hope this helped!

. How many solutions does this system of equations have?
y = 4x - 2.
y = 4x +5 *

Answers

Answer:

No solutions

Step-by-step explanation:

Solve for the first variable in one of the equations, then substitute the result into the other equation.

how do you find the value in a ratio?

Answers

Answer:

In mathematics, a ratio indicates how many times one number contains another. For example, if there are eight oranges and six lemons in a bowl of fruit, then the ratio of oranges to lemons is eight to six. Similarly, the ratio of lemons to oranges is 6∶8 and the ratio of oranges to the total amount of fruit is 8∶14.

Step-by-step explanation/example

The car was traveling 60 miles per hour, or 60 miles in 1 hour. You have a 1 in 28,000,000 chance of winning the lottery. Out of every possible scenario, only 1 out of 28,000,000 of them has you winning the lottery.

Answer:

China can have the brainiest.

Step-by-step explanation:

Graph g is a translation of the graph of y= sin x (dashed line).a) write down the equation of g b) write down the coordinates of the point p

Answers

Answer:

a)  [tex]G(x)= \sin x + 2[/tex]

b) The coordinates of P are

[tex]\displaystyle \left( \frac{3\pi}{2},1\right)[/tex]

Step-by-step explanation:

Translation

The dashed line shows the graph of the function

[tex]y = \sin x[/tex]

This function has a maximum value of 1, a minimum value of -1, and a center value of 0.

a)

Graph G shows the same function but translated by 2 units up, thus the equation of G is:

[tex]\boxed{G(x)= \sin x + 2}[/tex]

b) The coordinates of P correspond to the value of

[tex]x = \frac{3\pi}{2}[/tex]

The value of G is

[tex]\displaystyle G(\frac{3\pi}{2})= \sin \frac{3\pi}{2} + 2[/tex]

Since

[tex]\sin \frac{3\pi}{2}=-1[/tex]

[tex]\displaystyle G(\frac{3\pi}{2})= -1+ 2=1[/tex]

The coordinates of P are

[tex]\displaystyle \left( \frac{3\pi}{2},1\right)[/tex]

29.8 ft
what’s the area

Answers

Answer:

The area is 888.04 square ft

How many solutions does the system have?
y=3x-1
y=-2x+4

Answers

Answer:

This system has one answer.

Step-by-step explanation:

This system only has one answer which are: x=1  y=2

Hope this helped! :)

Answer:

(y,x) =(14,5)

Step-by-step explanation:

im in 10th grade

The local newspaper has letters to the editor from 10 people. If this number represents 5% of all the newspaper's readers, how many readers does the newspaper have?

The newspaper has ___ readers.

Answers

Don’t know if I’m right but 50%

Answer:

200 readers

Step-by-step explanation:

question is:  5% of what number is 10

is  =  percent

of           100

is = 10

of = unknown (call is 'n')

5% = 5/100

10  =  5  

x        100

now, cross-multiply:  5x = 1000

divide each side by 5

x = 200

One number is 1 more than 7 times the other number. If their sum is 73 more than
twice the smaller number. Find the numbers.​

Answers

Answer:

[tex]\boxed{\boxed{\pink{\bf The \ two \ numbers \ are \ 12 \& \ 85 . }}}[/tex]

Step-by-step explanation:

Given that , One number is 1 more than 7 times the other number. If their sum is 73 more than

twice the smaller number. And we need to find the numbers. So let us take the

First Number be x .Second number be 7x+1 .

[tex]\underline{\red{\boldsymbol{ According \ to \ the \ Question :- }}}[/tex]

[tex]\bf\implies 2( Small \ no.) + 73 = Bigger \ no. + Smaller \ no.\\\\\bf\implies 2x + 73 = x + 7x + 1\\\\\bf\implies 2x + 73 = 8x + 1 \\\\\bf\implies 8x - 2x = 73-1 \\\\\bf\implies 6x = 72 \\\\\bf\implies x =\dfrac{72}{6} \\\\\bf\implies \boxed{\red{\bf x = 12 }}[/tex]

Hence the smaller number is 12 and the bigger number will be :-

[tex]\bf \implies Number_{bigger} = 7x + 1 \\\\\bf\implies Number_{bigger} =7(12)+1\\\\\bf\implies Number_{bigger} = 84 + 1 \\\\\bf\implies \boxed{\red{\bf Number_{bigger}=85 }}[/tex]

Hence the bigger number is 85 and the smaller number is 12.

Step-by-step explanation:

let us say the number: x

7x+1=y

x+y=73+2x

y-73=2x-x

y-73=x or

x=y-73

then, 7x+1=y

x=y-73

then after,we'll substitute

7x+1=y

7(y-73)+1=y

7y-511+1=y

7y-510=y

7y-y=510

6y=510

y=510/6

y=85

x=y-73

x=85-73

x=12

Therefore y=85 & x=12

A dump truck bar 1/3 of a ton of rocks on the 1st beat trip when half of a ton on the 2nd trip and forfeits of a tone on the 3rd trip what was the total way of the rock.

Answers

Answer: 1/30

Step-by-step explanation:

Here's the correct question:

A dump truck brought 1⁄3 of a ton of rock on the first trip, 1⁄2 of a ton on the second trip, but on the third trip, had to take back 4⁄5 of a ton. What was the total weight of the rock left at the construction site?

To calculate the the total weight of the rock left at the construction site goes thus:

= 1/3 + 1/2 - 4/5

The lowest common multiple of 3,2 and 5 is 30. Therefore, we'll make the fractions have a common denominator.

= 1/3 + 1/2 - 4/5

= 10/30 + 15/30 - 24/30.

= 1/30

Please solve it I will give you 30 points

Answers

Answer:

1. (2x^2+x-1)

Step-by-step explanation:

expanding (2x^2-1)^2. multiplying (x-2) (1-2x)

= 4x^2-4x+1. = x-2x^2-2+4x

= -2x^2+5x-2

(4x^2-4x+1-2x^2+5x-2)

=2x^2+x-1

Answer:

1.) (2x - 1)(x + 1)

2.) a = 6 ; b = -1

4.a.) x = all rational numbers excluding (-2÷3)

4.b.) x = -1

4.c.) Yes. x = 1÷2

Step-by-step explanation:

E(x) = (2x - 1)² + (x - 2)(1 - 2x) F(x) = ax²-bx-2

F(1) = 5 ; F(-2) = 20

a-b=7 ; 4a+2b=22

3.Answer) Q(x) = 6x² + x - 2

= 6x² + 4x - 3x - 2

= (3x + 2)×(2x - 1)

Hence verified!

P(x) = E(x) ÷ Q(x)

= (x + 1)÷(3x + 2)

Here, x belongs to,

[tex]( - \infty \: to \: - 2 \div 3) union( - 2 \div 3 \: to \: \infty )[/tex]

Means, except x = -2÷3 , all real numbers are valid excluding complex numbers.

P(x) = (x + 1)÷(3x +2) = 0

= > x = -1


Prove that:

1+cot²a / 1 + cosec a = cosec a

Answers

Step-by-step explanation:

LHS= 1 + cot^2A/1+cosecA

=(1+cosecA + cot^2A)/1+cosecA

{By using basic trigonometric theorem cot^2A = cosec^2A - 1}

=(1+cosecA + cosec^2A - 1)/(1+cosecA)

=(cosecA + cosec^2A)/(1+cosecA)

=[cosecA (1+cosecA)]/(1+cosecA)

{Cancelling 1+cosecA}

=cosecA

Carla is going on a boat tour. The boat will travel a total distance of 40 kilometers during the 10 hour tour. If the boat travels at a constant speed during the​ tour, what distance in kilometers should the boat travel in 7 ​hours? Choose the correct answer below.

Answers

Answer:

Distance cover in 7 hour = 28 kilometer

Step-by-step explanation:

Given:

Distance = 40 kilometers

Time taken =  10 hour

Find:

Distance cover in 7 hour

Computation:

Distance cover in 7 hour = (40/10)7

Distance cover in 7 hour = (4)7

Distance cover in 7 hour = 28 kilometer

I need help with Geometry

Answers

I would try to help but I am in fact not smart and I am asking myself the same question

A square garden has an area of 0625
hectares Okoth went round it twice
how many metres did he cover​

Answers

Answer:

to answer this question i need to know what and what x together to get the area

Step-by-step explanation

Which four colonies were considered to be part of the Middle Colonies? A: New York B: Pennsylvania C: Connecticut D: Virginia E: Delaware F: New Jersey

Answers

Answer:

The 4 colonies were: A: New York, B: Pennsylvania, E: Delaware, F: New Jersey.

Step-by-step explanation:

Consider the provided information.

The Middle Colonies, found between the New England Colonies and the Southern Colonies, were a branch of the Thirteen Colonies in British America.

The four colonies that were considered to be part of the Middle Colonies are:

New Jersey, Pennsylvania, New York and Delaware Colony

So, the 4 colonies were: A: New York, B: Pennsylvania, E: Delaware, F: New Jersey.

-2 + 6.45 - 6 + (-3.5z)

Answers

the answer should be -1.55-3.5z

solve this inequality for x. 81 - 1 1/5x 55
A.x>21/2/3
B.x 5 1/5
D.< -21 2/3

Answers

Answer:

A

Step-by-step explanation:

Answer:

The answer is A

Step-by-step explanation:

I got it right on plato

HELP I WILL MARK U BRAINLIEST!!

Answers

Y-7 is your answer. You welcome

Answer:

Y-7 is the answerr

Step-by-step explanation:

Because there's is a minus sign behind of the y

hey can someone please help me asap

Answers

3rd one

Step-by-step explanation:

Find the value of a and b when x = 10
a= 5x²/2
b= 2x²(x-5)/10x​

Answers

A=250
b=1000
hope this helped you :))

Give the coordinates of the image of the figure below after the transformation.
Reflect triangle ABC with vertices A(-3, 2), B(-1.7), and C(6. 1): x-axis
B
A
c

Answers

Answer:

B    ( -1,-7)

A    (-3,-2)

C    (6, -1)

Step-by-step explanation:

Explanation:-

Given vertices are A( -3,2) , B(-1,7) and C(6,1)

Reflection about the x-axis then the coordinate points are transformed to

(x,y)→ (x,-y)

A(-3,2)→ A¹(-3,-2)

B(-1,7)→ B¹(-1,-7)

C(6,1)→ C¹(6,-1)

Find the slope of the line graphed below.

Answers

Answer:

Slope: -3/5

Step-by-step explanation:

Answer:

-3/5 would be the slope

Explanation

The terminal side of ø quadrant IV and sin ø = -12/13. What is the cos ø?

A. 5/13
B. 5/12
C. -5/12
D. -5/13

Answers

Answer:

Step-by-step explanation:

cos^2θ = 1 - sin^2θ = 1 - 144/169 = 25/169

cos θ is positive in Quadrant IV

cos θ = √(25/169) = 5/13

The value of the cos θ is 5/13 because cos is positive in IV option (A) is correct.

What is Trigonometric functions?

Trigonometric functions defined as the functions which show the relationship between angle and sides of a right-angled triangle.

We have: The terminal side of θ is in quadrant IV quadrant

sinθ = -12/13

cos²θ = 1 - sin²θ

cos²θ  = 1 - (-12/13)²

cos²θ = 1 - 144/169

cos²θ = 25/169

cos θ = √(25/169)

cos θ = 5/13

cos θ is positive in Quadrant IV

Thus, the value of the cos θ is 5/13 because cos is positive in IV option (A) is correct.

Learn more about Trigonometric functions here:

https://brainly.com/question/6904750

#SPJ5

hiiiiiii help me thanks!

Answers

Would the answer be one isosceles triangle sorry if you get it wrong I’m kinda slow 10-9=1
You have the correct answer I believe


Which of the following statements is
CORRECTLY matched?
A. 20 km <200m
19. four years <36 months
C. obtuse angle > reflex anglo
D. 812 821​

Answers

Answer:

d 812 821 here is the answer

The increase in pressure (P) is a linear function of the depth (d) to which a scuba diver descends. This is the function: P(d)=0.445d + 14.7.
1.) What does the initial value represent?
2.) What does the rate of change represent?​

Answers

Answer:

Initial value = 14.7

Rate of change = 0.445

Step-by-step explanation:

Given the linear function :

P(d) = 0.445d + 14.7

The linear equation above takes the general. Form of a slope - intercept equation :

y = mx + c

Where ; m = slope or gradient = rate of change in y per unit change in x

c = intercept , which is the intial value of y when x = 0

Thus using the above information ;

Initial value = intercept value = 14.7

The rate of change is the slope value = 0.445

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