After traveling for 4 hours and 1800 miles, an airplane begins a steady descent. When it begins descending, its altitude (height) is 33,000 feet. After 8 minutes, it is at 17,000 feet. Answer the questions to write a function that models the plane's altitude.

Answers

Answer 1

Answer:

S=33000-2000t

Step-by-step explanation:

Step one:

Let A be the altitude of the plane

Hence we can define a function that represents this scenario.

the rate at which the plane's altitude decreases is

=33000-17000/8

= 16000/8

=2000

The rate of decrease is 2000 ft per minute.

Thus for anytime "t" the expression for the altitude is

S=33000-2000t-------where t is the time in minute.

say we want to find altitude after 12 minutes

then t=12

substitute  in the expression we have

S=33000-2000(12)

S=33000-24000

S=9000ft

Answer 2

Answer:

Part 1)  Descending Rate = -2,000 ft/min

Part 2)  Starting altitude value is 33,000 ft

Part 3)  The linear equation for the plane's altitude (y) as a function of time (x) is:  

Part 4)  The information not used for the equation is that the plane was travelling for 4 hours to cover 1800 miles before starting the descent

Step-by-step explanation:

Part 1)

The rate at which the airplane descends is given by the difference between final and initial altitude (17,000 ft-33,000 ft) divided the elapsed time (8 minutes):

Part 2)

When graphing the descent (that is the plane's altitude as a function of time), the starting value for the altitude should be 33,000 ft

Part 3)

We can build the equation of the plane's altitude as a function of time in slope y-intercept form y = m x + b

by noticing that the slope "m" stands for the rate of descent that we found in part 1), and then using the information that at time zero (when the plane starts its descent), its altitude is 33000 ft:

with this information about the intercept "b", we can write the final expression for the plane's altitude as a function of time during its descent as:

Part 4)

The information that was not used to write the descent equation was the initial details about how long the plane traveled (4 hours) and for 1800 miles.

Step-by-step explanation:


Related Questions

I will give Brainlyest to the person who is first




After the temperature rose 9', the thermometer read 37°F
What is an equation that can be used to find x, the temperature before the gº increase
Drag the number, symbol, or operation sign to each box to complete the equation or symbol to

Answers

Answer:

37-9=28

Step-by-step explanation:

it was 28 F then rose 9 which is 37 so 37-9 =28

The  equation is  37 - 9= x.

What is Equation?

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

It demonstrates the equality of the relationship between the expressions printed on the left and right sides. LHS = RHS is a common mathematical formula.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

Given:

After the temperature rose 9°F, the thermometer read 37°F.

let  x be the temperature before the 9º increase.

So, 37 - 9= x

x= 28°F.

Hence, the equation is  37 - 9= x.

Learn more about equation here:

https://brainly.com/question/10413253

#SPJ5

Help please I mark brainliest

Answers

Answer:

negative 5w to the power of 3 .over w to the power of 4

simplify 15 and -3 to (-5/1)

make w to 4 to 4 -3w to the power of 8

then power simplification 6 over 8 to 3 and 4.

2. An electric fan has a resistance of 3.0 kN and a voltage rating of 220 volts. What
is the current needed to operate the electric fan?
Given:
Resistance (R)
ka x (1000/1 kg) =
volts
Voltage (V)
Required: Current (1)
Formula:
voltage
resistance
Solution:
V-IR
Answer:
Current =
A, the current needed to operate
the electric fan​

Answers

Answer: 73.33A

Step-by-step explanation:

Resistance (R)= 3.0 kN

Voltage (V)= 220 volts

Current (I)= Unknown

The formula to calculate the current will be:

Current = Voltage / Resistance

Current = 220 / 3.0

Current = 73.33 A

Therefore, the current needed to operate the electric fan is 73.33.

When the weight is greater than 15 pounds, the cost will be greater than $10.

Answers

Answer:

muy bien ami si me funciono la pregunta

Which of the following is equivalent to the fraction above? -(3/16)
A. 6/13
B. -13/6
C. -6/-13
D. -6/13

Answers

Answer:

c

Step-by-step explanation:

Answer:

D. -6/13

Step-by-step explanation:

(4,-3) and (-1,-9) The Distance Between the two points in simplest radical form

Answers

Answer:

(5,6)

Step-by-step explanation:

so first yall

u find the difference between 4 and -1 which is 5 so u go 5 spaces right so it would be 5

then u find the difference between -3 and -9 which is 6 so ud go 6 spaces down so the difference between emmmm is

(5,6)

You tape two pieces of paper together that each measure
41.36 cm. You then cut off 21.99 cm.
How long is the paper?

Answers

Answer:

The paper is 60.73 cm long.

Step-by-step explanation:

The two pieces of paper each measure 41.36 cm, so those together would be 82.72 cm. Subtracting the 21.99 that is cut off, you're left with 60.73 cm. Hope this helped!

^^^ they are 100 correct :)

What is the given point on the line of this equation y +2 = (1 - 3)2

Answers

Answer:

4

Step-by-step explanation:

Move numbers to right hand side

The anwser to this question you might ask is ( 4)

i need help!!
5=x+29
Solving One-Step

Answers

Step-by-step explanation:

5=x+29

collect like terms

x=29-5

x=24

the answer is 24

hope this helps

Answer:

-24 is your ans.

Step-by-step explanation:

5=x+29

5-29=x

x= -24

You have put ₹ 2500 in your bank account. After some years, you observe that you have received interest and the amount now is ₹ 4100. What is the percentage of increase?

Answers

Answer:

64%

Step-by-step explanation:

The first step is to calculate the increase

= 4100-2500

= 1600

Therefore the percentage increase can be calculated as follows

= increase/original number × 100

= 1600/2500 × 100

= 0.64 × 100

= 64%

Hence the percentage increase is 64%

What is the slope of у= 3х — 9​

Answers

Answer:

3

Step-by-step explanation:

We can recognize this equation as a linear equation, which is given by the following formula:

[tex]y=mx-b[/tex], where m is the slope and b is the y-intercept.

Thus, we see that 3 is the slope, and 9 is the y-intercept.

The slope would be 3

how to rewrite 11/12 in two different ways

Answers

Answer:

1) 33/36 = 11/12

2) 22/24 = 11/12

Step-by-step explanation:

Hope it helps you! Please give me Brainlest!

Step-by-step explanation:

As a decimal you divide 11 by 12 which is 0,916 (6 repeating)

now as a percent you multiply this decimal by 100 which is 91.6 (6 repeating)%

Help me out fast please

Answers

Answer:

16

just subtract the sqaush by tomatoes

Answer:

0.5

Step-by-step explanation:

65.92÷32=2.06

49.92÷32=1.56

2.06-1.56=0.5

PLEASE HELP ITS A TESTTT... To train for a marathon, Olivia runs 2 miles per day for the first week and then increases the daily distance by a quarter mile each of the following weeks. Write and equation to represent the NTH term of the sequence.​

Answers

Answer: 14

Step-by-step explanation:

Un químico agrega cierta cantidad de una solución de 86% de alcohol a 11 litros de otra solución al 71% de alcohol y obtiene una solución al 77% de alcohol encuentre la cantidad de litros de la primera solución que se agregaron a la segunda

Answers

Answer:

Step-by-step explanation:

Sea x la cantidad de litros de la mezcla al 86%

x× 86% + 11 × 71% = (x + 11) × 77%

0.86x + 7.81 = 0.77x + 8.47

please help im freaking out because this is due in 5 minutes ​

Answers

a little advice don’t put stuff to the end

Step-by-step explanation:

12:8

24:16

36:24

48:32

Girl hurry and submit it

what is the answer to 4(x + 1) = 4x + 10

Answers

Answer:

No solution

Step-by-step explanation:

First we would have to see if anything has to be distributed and yes the 4 in the expression 4(x + 1) has to be distributed to the x and 1. So we would multiply the 4 by x and 1. Now we have 4x + 4 = 4x + 10. We have to get the x's on 1 side of the equation so we would do the inverse of one of the x's and we can only subtract. So we can subtract 4x on both sides. So now we have

4 = 10. That isn't a correct statement so there is no solution.

4 does not equal 10.

By bike, it’s possible to travel 108 miles in 6 days. What’s the unit rate?

Answers

Answer:

18miles per day

Step-by-step explanation:

Just do 108/6

Antonio, Lucas y Darío compraron un refresco de 5/2 (2litros y 1/2) que piensan repartir en partes iguales. a) ¿Qué fracción de litro le corresponde a cada uno? b) Una vez repartido el refresco llego Benjamín a quien van a convidarle. ¿Cuánto debe convidarle cada uno para que los cuatro tengan la misma cantidad de refresco?

Answers

Answer:

a) A Antonio, Lucas y Darío le corresponde cada uno [tex]\frac{5}{6}[/tex] litros.

b) Antonio, Lucas y Benjamín deben convidar cada uno [tex]\frac{5}{24}[/tex] litros.

Step-by-step explanation:

a) Antonio, Lucas y Darío compraron un refresco, el cual reparten en tres partes iguales. Por tanto, la fracción de litro para cada persona es la capacidad del refresco dividido por el número de personas. Es decir:

[tex]x = \frac{\frac{5}{2}\,L }{3}[/tex]

[tex]x = \frac{5}{6}\,L[/tex]

A Antonio, Lucas y Darío le corresponde cada uno [tex]\frac{5}{6}[/tex] litros.

b) En primer lugar calculamos la fracción correspondiente a cuatro personas:

[tex]x = \frac{\frac{5}{2}\,L }{4}[/tex]

[tex]x = \frac{5}{8}\,L[/tex]

Ahora, procedemos a calcular la diferencia entre el escenario calculado en a) y el resultado anterior:

[tex]\Delta x = \frac{5}{6}\,L-\frac{5}{8}\,L[/tex]

[tex]\Delta x = \frac{40-30}{48} \,L[/tex]

[tex]\Delta x = \frac{10}{48}\,L[/tex]

[tex]\Delta x = \frac{5}{24}\,L[/tex]

Este resultado corresponde a la fracción que Antonio, Lucas y Darío deben convidar cada uno a Benjamín. Entonces, Antonio, Lucas y Benjamín deben convidar cada uno [tex]\frac{5}{24}[/tex] litros.

Can somebody help me? Will mark brainliest!

Answers

Answer:

I believe it would be 3 reflection followed by translation.

Step-by-step explanation:

Melinda and Paula shovel driveways and sidewalks in the winter as a way to earn extra money. Together they shoveled 450 square feet of sidewalk in 30 minutes. Then Melinda shoveled for 20 minutes while Paula shoveled for 25 minutes to complete 345 square feet of driveway. 30x + 30y = 450 20x + 25y = 345 How much more can Paula shovel in 1 minute than Melinda? 3 square feet per minute 6 square feet per minute 9 square feet per minute 15 square feet per minute

Answers

Answer: A: 3 square feet per minute

Step-by-step explanation:

The square feet more that Paula can shovel in 1 minute more than Melinda is 3 square feet per minute.

System of equations

30x + + 30y = 450 equation 1

20x + 25y = 345 equation 2

Where:

x = square feet shovelled by Melinda

y = square feet shovelled by Paula

What is the square feet shovelled by Paula?

The first step is to multiply equation 1 by 20 and equation 2 by 30

600x + 600y = 9000 equation 3

600x + 750 y = 10,350 equation 4

Subtract equation 3 from equation 4

150y = 1350

Divide both sides by 150

y = 9 square meters

What is the square feet shovelled by Melinda?

Substitute for y in equation 1

30x + 30(9) = 450

30x + 270 = 450

30x = 450 - 270

30x = 180

x = 6 square meters

How much more can Paula shovel in 1 minute than Melinda?

9 - 6 = 3 square meters

To learn more about simultaneous equations, please check: https://brainly.com/question/25875552

I need help with #18 & 20
Please explain so I understand

Answers

Isjsndjxksmnsjzksksms oaksmskxi haha

NEED HELP NEED HELP please if you know show me how you got the answer

Answers

Answer:

It says to Graph y = 1/2x - 4

So equation y = 1/2x - 4

this corresponds to slope intercept form which is y = mx + b

M = slope = rise / run

B =  y - intercept

First, start at the origin, (0,0)

Then go down 4, you should now be on the coordinate (0,4)

Now we need to use the slope.

The slope is 1 / 2, this means rise 1, run 2 (in this case 2 to the right because it is positive)

So, start at (0 , 4) and go up 1 unit then 2 to the right, then place a dot, keep repeating until you meet the end of the paper.

Then do the opposite so that you can graph the other side.

Down 1 and 2 to the left.

Answer:

Graph Points (0.-4) and (8,0) and connect the dots into a line

Step-by-step explanation:

To graph y=1/2x-4 you will need to find the y and x-intercept. To find an intercept you have to substitute the x and y variables with 0 one at a time. I first substitute the x variable with an 0 and got the equation y=-4 so my y-intercept is (0.-4). Then I substituted the y variable with 0 and got 0=1/2x-4, I added 4 on each side to get rid of it and got 4=1/2x. I then multiplied both sides by 2 to get the x by itself and got 8=x so my x-intercept is (8,0). Whenever your graphing slope-intercept form equations just find the y and x-intercepts, graph them, connect the dots.

Hope this helps you

Louisa cuts 7 peices of yarn.

Answers

Answer:

i need more details

Step-by-step explanation:

Lol where’s the rest of the question

Freddy tiene $250 en billetes de diez dólares. ¿Cuántos billetes de diez dólares tiene Freddy? Le dio 6 billetes de diez dólares a su hermano. ¿Cuántos billetes de diez dólares le quedan?

Answers

Answer:

-Freddy tiene 25 billetes de diez dólares.

-A Freddy le quedan 19 billetes de diez dólares.

Step-by-step explanation:

Para encontrar la cantidad de billetes de diez dólares que tiene Freddy, tienes que dividir la cantidad total que tiene entre diez:

250/10=25

Esto significa que Freddy tiene 25 billetes de diez dólares.

Para saber cuantos billetes le quedan a Freddy, tienes que restar los 6 billetes que le dio a su hermano del total de billetes que tenía:

25-6=19

De acuerdo a esto, a Freddy le quedan 19 billetes de diez dólares.

f(0) = -5, f(4) = -3

Answers

Answer:

y = [tex]\frac{1}{2}[/tex] x - 5

Step-by-step explanation:

Given f(0) = - 5 and f(4) = - 3 , then we have the coordinate points

(0, - 5) and (4, - 3)

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

Calculate m using the slope formula

m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]

with (x₁, y₁ ) = (0, - 5) and (x₂, y₂ ) = (4, - 3)

m = [tex]\frac{-3+5}{4-0}[/tex] = [tex]\frac{2}{4}[/tex] = [tex]\frac{1}{2}[/tex]

The line crosses the y- axis at (0, - 5) ⇒ c = - 5

y = f(x) = [tex]\frac{1}{2}[/tex] x - 5 ← equation of line

Which shows the pre-image of quadrilateral W'X'Y'Z' before the figure was rotated according to the rule (x, y) → (–x, –y)?

Answers

C

Image for proof, dude above got it first.

A woman drives a distance of 40km to work each day and her average speed for the journey is written as x km/h. If she increase her average speed by 5km/h, it takes 2 minutes less time than usual to make the journey. Calculate her normal speed in km/h​

Answers

40/x = 40/x+5 + 2/60
-> i don’t have a sketchbook or calculator at the moment so pls figure out the final answer yourself

How do I do this? I’m lost

Answers

Answer:

x=12

Step-by-step explanation:

3x+7=5x-17

2x=24

x=12

PLEASE ANSWER ASSAP!!! IF CORRECT WILL GIVE BRAINLY!!!!! Which one of these relationships is different than the other three? Explain how you know.

Answers

Answer:

The relationship B is different than the other three, because it has a different proportionality constant.

Step-by-step explanation:

All available options show direct relationships, which are defined as follows:

[tex]y\propto x[/tex]

[tex]y=k\cdot x[/tex] (1)

Where:

[tex]x[/tex] - Independent variable, dimensionless.

[tex]y[/tex] - Dependent variable, dimensionless.

[tex]k[/tex] - Proportionality constant, dimensionless.

We proceed to use the following strategy based on the proportionality constant, that is:

[tex]k = \frac{y}{x}[/tex]

A different relationship must indicate a different proportionality constant:

Option A ([tex]x = 0.8[/tex], [tex]y = 4[/tex])

[tex]k = \frac{4}{0.8}[/tex]

[tex]k = 5[/tex]

Option B ([tex]x = 10[/tex], [tex]y = 55[/tex])

[tex]k = \frac{55}{10}[/tex]

[tex]k = 5.5[/tex]

Option C ([tex]x = 4[/tex], [tex]y = 20[/tex])

[tex]k = \frac{20}{4}[/tex]

[tex]k = 5[/tex]

Option D ([tex]x = 10[/tex], [tex]y = 50[/tex])

[tex]k = \frac{50}{10}[/tex]

[tex]k = 5[/tex]

The relationship B is different than the other three, because it has a different proportionality constant.

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