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

The tens digit of a two-digit number is five more than the units digit. Seven times the sum of the digits of this number is 3 less than the number itself. Find the number.

Answers

Answer:

43

Step-by-step explanation:

Let

The unit digit = x

The tens digit = y

The number = 10x + y

The tens digit of a two-digit number is five more than the units digit.

y = x + 5

Seven times the sum of the digits of this number is 3 less than the number itself.

7(x + y) = 10x + y - 3

7x + 7y = 10x + y - 3

Find the number.

We substitute x + 5 for y

7x + 7(x + 5) = 10x + (x + 5) - 3

7x + 7x + 35 = 10x + x + 5x - 3

14x + 35 = 11x + 5x - 3

Collect like terms

35 + 3 = 11x + 5x -14x

38 = 16x - 14x

38 = 2x

x = 38/2

x = 19

Solving for y

y = x + 5

y = 19 + 5

y = 24

The number = 19 + 24

= 43

Answer:

The correct answer is 94

Step-by-step explanation:

What is the slope of the line that passes through (−2, −4) and (3, 7) ?
A.9/ 7 B. 11/ 5 C. 3 D. I don't know.

Answers

Answer:

11/5

Step-by-step explanation:

-4 - 7 = -11

-2 - 3 = -5

11/5

Answer:

B. 11/5

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Algebra I

Slope Formula: [tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]

Step-by-step explanation:

Step 1: Define

Point (-2, -4)

Point (3, 7)

Step 2: Find slope m

Substitute:                    [tex]m=\frac{7+4}{3+2}[/tex]Add:                              [tex]m=\frac{11}{5}[/tex]

Solve: -68.1 * 0.8
A) -54.48
B) 68.9
C) 54.48
D) -68.9

Answers

Answer:

A) - 54.48

Step-by-step explanation:

Just plug it into the calculator like this;  (-68.1) x 0.8, which equals -54.48.

the answer is negative because you multiplied a positive # and a negative #.

I need help lol....​

Answers

The slope is 3/2x

Can you mark me brainleist
It’s so easy it’s 3/2x pls mark me as brainliest plssssss I’ll give u 30 points

Plzzz help I will mark brainliestttt

Answers

Answer:

Not a function

Step-by-step explanation:

For every input there is one and only one output. So on this graph, it shows that there are two dots on a single vertical line, which means that there are two outputs. Because the definition of a function is "for every input there is one and only one output" we know that it is not a function.

What is k? (look at the attached photo for the problem, thank you!!)

Answers

the solution for k would be 12

What is the length of BC in the right triangle below? B 18 A с 80
A. 1512
B. 98
C. 82
D. 3624
E. 6724
F. 14​

Answers

Answer:

c

Step-by-step explanation:

cc

The length of BC in the right triangle is 82 units

What is Trigonometry?

Trigonometry is a branch of mathematics that studies relationships between side lengths and angles of triangles.

From the given triangle the line segment AB is 18 units

AC is 80 units

We have to find BC

By using pythagoras theorem we find the length of segment BC

BC²=AB²+AC²

BC²=18²+80²

BC²=324+6400

=6724

BC=√6724

BC=82

Hence, the length of BC in the right triangle is 82 units

To learn more on trigonometry click:

https://brainly.com/question/25122835

#SPJ7

−5x+13y=−7
5x+4y=24

x=
y=

Answers

Answer:

Using eliminating method then adding equation 1 and 2 give

X= 4and y =1

2. Michael bought a sandwich that cost $4.69, a bag of chips that cost $1.99
and an iced tea for $2.50. How much did he spend in all? *
A. 7.19
B. 4.49
C. 6.68
D. 9.18

Answers

Answer:

9.18

Step-by-step explanation:

4.69

1.99

+2.50

9.18

Help me with this one

Answers

Answer:

SSS

Step-by-step explanation:

We can see that 2 sides are equal already, and because they share a side, that side is also equal. So, side side side.

What is the domain of the function f(x) = 2/5√x ?

all real numbers
all real numbers less than 0
all real number less than or equal to 0
all real numbers greater than or equal to 0

Answers

Answer:

D: All real numbers greater than or equal to 0.

Step-by-step explanation:

Answer:

the answer is D

Step-by-step explanation:

just took the test


There are 40 houses in the neighborhood around CMS that have internet service
1/8of the houses use AT&T.
2/5of the houses use Spectrum.
1/4 of the houses use Frontier.
The rest of the homes do not have internet service.
How many homes in the neighborhood DO NOT have internet service?
31
26
9
16

Answers

Answer:

the answer is 44 cecaeuju

HELP!! ANSWER FIND THE DOMAIN AND RANGE

Answers

Answer:

The 3rd option

Step-by-step explanation:

Lmk if you need me to explain

65.1 acres divided by 3

Answers

Answer:

according to me is 87 816.7844 m2

Answer:

21.7

Step-by-step explanation:

65.1 ÷ 3 = 21.7

Hope this helps!

Which pair of complex numbers has a real-number product?
(1 + 31 (6)
(1 + 3)(2-31)
(1 + 3)(1 – 31)
0 (1 + 3/)(31)

Answers

Answer: C. (1 + 3i)(1 - 3i)

Step-by-step explanation:

Took the test on edgnuity

Answer:

The person ontop is correct! It is C.

PLEASE HELP I NEED THIS TODAY!!​

Answers

Answer:

The area is 200.96 in^2

Step-by-step explanation:

Answer:

200.96 in^2

Step-by-step explanation:

circle area formula is πr^2

radius = diameter / 2, radius is 8

8^2.π  = 64π  

π  = 3,14

final answer is 64 X 3.14= 200.96 in^2

At Summer camp, campers are divided into groups. Each group has 16 campers and 2 cabins. How many cabins are needed are needed for 48 campers? A: 14 B: 20 C: 6 D: 30

Answers

Answer:

6

Step-by-step explanation:

At summer camp campers are divided into groups

Each group has 16 campers and 2 cabins

Therefore the number of cabins needed for 48 campers can be calculated as follows

16 campers = 2 cabins

48 campers = x

Cross multiply

16 × x = 48×2

16x =96

x= 96/16

x= 6

Hence 6 cabins are needed for 24 campers

Calculate the rise and run to find the slope of each line

Answers

Answer:

Step-by-step explanation:10

Answer:

1) slope m=-4

2) slope m=-5/4

3) slope m=1

4) slope m=-2

5) slope m=3/5

6) slope m=5/8

Step-by-step explanation:

Slope equation: m=y2-y1/x2-x1

With our slope equation can get just use the graph and choose two points that the line crosses over.

Question 1 example) I chose points (0,-3) as my x1, y1, and point (1,-1) as my x2, y2. I plugged the numbers into the equation and got -1-3/1-0=-4. Which is why our slope is -4

The rest of the questions follow the same concept of Finding two points, decide which one is your x1, y1 and which one is you x2, y2 (does not matter which one you associate with each point), plug the numbers in, and calculate the slope.

(I may be wrong because the graph is a little blurry)

Hope this helps you

Arrange the decimals from least to greatest. Choose the letter below that shows the order least to greatest.

5.00 0.55 0.005 5.005 5.5

0.55, 0.005, 5.00, 5.5, 5.005

0.005, 0.55, 5.00, 5.005, 5.5

0.005, 5.00, 0.55, 5.005, 5.5

Answers

Answer:

ima guess 3

Step-by-step explanation:

Answer:

the 3rd one

Step-by-step explanation:

0.005, 0.55, 5.00, 5.005, 5.5

brainlyest?

Use the Distance Formula to write an equation of the parabola with directrix y=7 and focus (0,−7).

Answers

Answer:

Step-by-step explanation:

Find the Parabola with Focus (7,0) and Directrix x=-7 (7,0) x=-7. (7,0) ( 7 , 0 ) x=−7 x = - 7. Since the directrix is horizontal, use the equation of a parabola that opens left or right. ... Find the distance from the focus to the vertex. ... Substitute in the known values for the variables into the equation (y−k)2=4p(x−h) ( y - k ) 2 = 4 p ...

Using the distance formula, the equation of a parabola with directrix y=7 and focus (0,−7) is   [tex]x^2 = -28y[/tex]

The focus = (0, -7)

The directrix:  y  =  7

The distance formula is given as:

[tex](x - a)^2+(y-b)^2= r^2[/tex]

From the focus (0, -7)

a = 0,  b = -7

r  =  y - 7

Substitute a = 0, b = -7 and r = y - 7 into the equation above:

[tex](x - 0)^2 + (y +7)^2 = (y - 7)^2\\\\x^2 + y^2+14y + 49= y^2-14y+49\\\\x^2 = y^2-y^2-14y-14y+49-49\\\\x^2 = -28y[/tex]

Using the distance formula, the equation of a parabola with directrix y=7 and focus (0,−7) is [tex]x^2 = -28y[/tex]

Learn more here: https://brainly.com/question/19134275

A photographer for sells photographs for $20 each an art show he spent 185 to print the photographs and made a profit of 55 at the art show what is the equation

Answers

Answer:

260

Step-by-step explanation:

if u guys can do this it will be awsome​

Answers

uh?

Step-by-step explanation:

sooo what am i gonna do??

Answer:

Your basically supposed to color the parts based on the answering the 8 questions on your paper.

If you do not have an questions, then just color according to the numbers.

BTW I see the word "MATH" hidden.

Kara and her friends have $17 to spend at a pizza parlor.they would like to buy large pizza which costs $12 and then add as many toppings as possible if each topping (t) cost 50cents,which inequality describes the maximum number of toppings that the group can purchase?

Answers

Answer:

10

Step-by-step explanation:

(12 + x0.5) <= 17

Express as a trinomial, .
(2x - 1)(3x– 4)

Answers

Answer:

6x2-11x+4

..........

PLEASE HELP!! 15 Points for CORRECT ANSWER ( nOT POINT D) THANK YOU AND BRAINLIEST

Answers

Answer:hmm I think point d

I’m not to sure ✨

Step-by-step explanation:

Answer:

I think its point E it would make the most sense

Step-by-step explanation:

I'm pretty sure in in the same plane and A,C,G

If you go shopping and a pair of jeans cost $50.00 but they are on sale for 50% off or 1/2 off what is the price of the jeans

Answers

Answer:

$25

Step-by-step explanation:

you just subtract 25 from 50 since 25 is half of 50.

You divide 50 by 2 so it can be half priced..
50/2
=25

The force f of an object is calculated by multiplying its mass m with acceleration a. Rearrange the formula f = ma to make mass m the subject.

Answers

the answer is: m=f/a. use reverse operations so that m is now the subject

A store is selling 6 for $45 if you have $75 how many can you buy?

Answers

Answer: 45 / 6 = 7.5
75 / 7.5 = 10
You can buy 10.

Is there another way to convert fractions to decimals (explanation pls ❤️)

Answers

Answer:

The easiest way to convert a fraction to a decimal is to divide the numerator (the top of the fraction) by the denominator (the bottom of the fraction) by using a calculator. The resulting answer will be the value of the fraction expressed as a decimal number.

Step-by-step explanation:

Answer: The simplest method is to use a calculator.

Just divide the top of the fraction by the bottom, and read off the answer. Hope this helps! If not, I’ll come up with another explanation! :)

Ixl!!! Help please lol?

Answers

Answer:

No am I right?

Step-by-step explanation:

I can't really explain why but I'm pretty sure it's no

Answer:

yes i think

Step-by-step explanation:

Even though all sides are not congruent a square can be a rectangle.

Other Questions
How does Detective Noonan's comment about the murder weapon affect Marys actions A farmer sells his com for $320 a metric ton with a small surcharge of $25. His neighbor sells her corn crop for $320 ametric ton and gives a $20 rebate. Write the cost model equations for both farmers and find the amount of corn thatmakes the costs equal. A student needs to use sodium nitride in an experiment and finds a chemical with the formula NaNO3 . Is this the correct compound? Why or why not?A. Yes, NaNO3 is the formula for sodium nitride.B. No, NaN is the formula for sodium nitride; NaNO3 is the formula for sodium nitrate.C. No, NaN is the formula for sodium nitride; NaNO3 is the formula sodium nitrite.D. No, Na3N is the formula for sodium nitride; NaNO3 is the formula for sodium nitrat solve for x, and explain how u did it :) question below :) i suck at math match the function to the blood vessels the words are capillary arteryvein the definitions Carries blood back to the heart carries blood away from the heart connects arteries and veins Help me please guys :) I'LL GIVE BRAINLIST!! THERES 2 ANSWERS!! PLEASE HELP!! can u help me plz. How many units are there branch.The President, the Vice-President, and the President's cabinet are under the branch Read the sentence.I spent the weekend at the beach to get away from the cold weather in the mountains.Which statement about this sentence is true?The sentence gives an example of connotation, because it uses the word cold to suggest that the weather is unemotional.The sentence gives an example of connotation, because it uses the literal meaning of the word cold.The sentence gives an example of denotation, because it uses the word cold to suggest that the weather is unemotional.The sentence gives an example of denotation, because it uses the literal meaning of the word cold. If the pituitary is so important and Eric is not getting replacements of hormones the pituitary makes (except for ADH), why isnt he dead? To answer this question, think through the cascade of events from hypothalamus to effect. Question: What can be broken, but is never held?A.promiseB.loveC.familyD.trust In what ways can you increase the balance in your PBA Which of these are common theories that explain how the First Americans came to North and South America?Check all that are true.They traveled across the ocean on boats.They built a land bridge.They rode across the ocean on large animals.They migrated across Beringia. How would I find the answer? Which message does the repetition in the stanza make clear? The sound of thunder up above, crashing repeatedly, makes the natural landscape beautiful. The crashing of the thunder as it rolls over the land is everywhere and makes the people nervous. The thundering sounds of the storm are everywhere and can make nature a dangerous place. Some thunder is coming over the landscape, but it appears that it will only be temporary. An object that moves in uniform circular motion has a centripetal acceleration of 13 m/s^2 . If the radius of the motion is 0.02m, what is the frequency of motion? How many turns are needed in a solenoid of radius 10 cm and length 20 cm for its self-inductance to be 6.0 H?A) 30B) 74C) 500D) 550E) 5500