16. An airplane 30,000 feet above the ground begins descending at a rate of 2,000 feet per minute. Write an equation to model the situation. Find the altitude of the plane after 5 minutes​

Answers

Answer 1

Answer:

equation: y=-2,000x+30,000

altitude after five minutes: 20,000

Step-by-step explanation:

y = altitude of the plane

x= slope (the plane descends -2000 feet per min, so the slope is -2000)

the y-intercept is 30,000 as the plane begins at 30000 feet above ground


Related Questions

1: A man owns 50 shares of stock worth $30 each. The corporation declared a dividend of 6% payable in stock. How many shares did he then own?

Answers

Answer:

53 shares

Step-by-step explanation:

Calculation for how many SHARES did he then own

Using this formula

Numbers of shares=[ (Dividend percentage payable in stock ×Shares of stock)+Shares of stock]

Let plug in the formula

Numbers of shares= [(.06 x 50 shares)+50 shares]

Numbers of shares= 3 + 50 shares

Numbers of shares = 53 shares

Therefore How many shares did he then own is 53 shares

Consider the polynomial function
g(x) = -x^4 + 2x^3 + 5x^2 – 1.
What is the end behavior of the graph of g ?

Answers

Answer: as x > infinity, g(x)> - infinity and as x> - infinity, g(x)> - infinity

Step-by-step explanation:

 Left and right ends of the given poynomial function will fall downwards (towards negative infinity).  

End behavior of a polynomial: If a polynomial function is f(x) = ax⁴ + bx³ + cx² + dx + e

          Leading coefficient → a

          Degree of the polynomial = 4

 If the degree is even and leading coefficient is negative (-), left end and right ends fall downwards.

Given in the question,

Poynomial function → g(x) = -x⁴ + 2x³ + 5x² - 1

Degree of the polynomial = 4 (even)

Leading coefficient = -1 (negative)

    Therefore, left end of the graph will fall downwards (towards negative infinity) and the right end of the graph will fall downward (towards negative infinity).

Learn more about the end behaviour of a polynomial here,

https://brainly.com/question/12021944?referrer=searchResults

An experiment is completed where a coin is flipped and a six-sided die (singular for dice) is rolled. The outcomes from the experiment are shown, where H represents heads and T represents tails. H1, H2, H3, H5, H6, T1, T1, T2, T3, T5. What percent of the outcomes included tails with an off number greater than 1? 1.) 16 2/3% 2.) 25% 3.) 33 1/3% 4.) 41 2/3%

Answers

Answer:

1) [tex]16\frac{2}{3}[/tex]% or 20%

Step-by-step explanation:

Given that:

An experiment which is carried out by flipping a coin and rolling six sided die.

The outcomes can be:

{H1, H2, H3, H5, H6, T1, T1, T2, T3, T5}

As per question statement:

Number of outcomes having tails and an odd number greater than one is 2 (i.e. T3 and T5)

Total number of outcomes here is 10.

Therefore, to find the percentage, we use the following formula:

[tex]\dfrac{\text{Number of favorable outcomes}}{\text{Total number of outcomes}}\times 100[/tex]

[tex]\Rightarrow \dfrac{2}{10}\times 100 = 20\%[/tex]

As per question statement, the answer is 20%.

If we consider all the outcomes, i.e.

{H1, H2, H3, H4, H5, H6, T1, T2, T3, T4, T5, T6}

Total number of outcomes = 12

The percentage will come out be :

[tex]\Rightarrow \dfrac{2}{12}\times 100 = 16\frac{2}{3}\%[/tex]

Geometry Question:

Find the value of x that makes N the incenter of the triangle (See attached)

Answers

Answer:

.5 or 1/2

Step-by-step explanation:

Y^2x 24^2=25^2

Y=7

7=14x

x=.5

The value of x is 0.5.

The calculation is as follows:

Here we use Pythagoras Theorem

[tex]Y^2 - 24^2=25^2[/tex]

Y=7

Now  

7 = 14x

So, x=.5

Therefore we can conclude that The value of x is 0.5.

Learn more: brainly.com/question/17429689

1 - 3x = 3x + 1 solve for x

Answers

Answer: x = 0

Step-by-step explanation:

1 - 3x = 3x + 1

then add 3x on both sides

1 = 6x + 1

then subtract 1 on both sides

0 = 6x

then divide by 6 on both sides

0 = x

so x = 0

Answer:

x would be unknown bc there wouldnt be an answer since

1-3x=3x+1

if we take away 1 forom both sides were left with -3x=3x and it would be 6x if we combined them which can be possible bc it would be nothing = 6x if that makes sense

Step-by-step explanation:

5 + 0.08 + 0.004 in word form plz​

Answers

Answer:

Five plus eight hundredths plus four thousandths

Answer:

five plus zero point zero eight plus zero point zero zero four equals five point zero eighty four

Step-by-step explanation:

Convert the Following: 5.4 oz=__________ mg

Answers

Answer:

153087 mg

Step-by-step explanation:

6th grade math i mark as brainliest ​

Answers

Answer:

214.8 - 19* 4 =

214.8 - 76 =

138.8

therefore your answer is 138.8

Step-by-step explanation:

Answer:

76

Step-by-step explanation:

19 * 4 = 76

Plz someone help I beggggg

Answers

Answer:

25100 i believe  would be the answer

Step-by-step explanation:

2-1/3x=1/6x+1
x=?
Merry Christmas

Answers

Answer:

x=2

Step-by-step explanation:

Thanks sweetheart <3

The drawing at the right shows a person,
5 feet tall, casting a shadow 3 feet long.
The tree is casting a shadow 15 feet long.
How tall is the tree?

Answers

Answer:

I would say the tree is 18 feet tall

Answer: 25 feet tall

Step-by-step explanation:

First, let's take a look at the person. If they are 5 feet tall and cast a shadow of 3 feet, we can easily convert this into a proportion: 5 feet tall: 3 feet shadow.

Continuing with this method, we can convert the tree into a proportion: x feet tall: 15 feet shadow.

So, 5:3=x:15. Mathematically, think of it as 5/3=x/15.

To find x, you will need to multiply 15 to both sides, or perform cross multiplication.  (5/3)(15)=(x/15)(15). This will equal 25. The tree is 25 feet tall.

Consider the following system of equations

-2x+5y=19
Y=-5/6x-1/6

Use this graph of the system to approximate its solution

A. (13/4,-5/2)

B. (-5/2,13/4)

C. (-13/4,5/2)

D.) (5/2,-13/4)

Answers

Answer:

C

Step-by-step explanation:

We have the system of equations:

[tex]\displaystyle -2x+5y=19 \\\\ y=-\frac{5}{6}x-\frac{1}{6}[/tex]

And we want to use the graph to approximate the solution to the system.

Remember that, graphically, the solution to a system of equations is where the two graphs intersect.

We can see that the point at which the two lines intersect is in QII.

Hence, x is negative and y is positive.

The only choices that satisfies these conditions are B or C.

However, for B, -5/2 is -2.5. As we can see from the graph, the x-coordinate of the point of intersection is less than -3.

Hence, the only choice left is C. -13/4 also is -3.25, fulfilling our condition.

So, our final answer is C.

PLEASE HELP I WILL GIVE BRAINLIEST!!

Answers

Answer:

The answer to the chart is y=x-1

PLEASE HELP!!!!!!!!!!!!!!

Answers

Answer:

882-28282=9191

Step-by-step explanation:

Bella earned $216 in interest after 4 years on a principal of $1,500. What is her interest rate?

Answers

Answer:

R = 148.6111%/year

Equation:

r = (1/t)(A/P - 1)

Calculation:

Solving our equation:

r = (1/4)((1500/216) - 1) = 1.48611111

r = 1.48611111

Converting r decimal to R a percentage

R = 1.48611111 * 100 = 148.6111%/year

The interest rate required to get a total amount, principal plus interest, of $1,500.00 from simple interest on a principal of $216.00 over 4 years is 148.6111% per year.

Answer: 3%

Step-by-step explanation:

216 / 1500 = 14.4

14.4/ 48 months = .003

.003 x 100 = 3%

suppose aaron earned 15.75 in interest for account A and 28.00 in interest for account B after 21 months if the simple interest rate is 3.0% for account A and 4.0% for account B wich account has the greater principle explain

Answers

Answer:

Principle for account B is greater.

Step-by-step explanation:

First of all, let us have a look at the formula for Simple Interest:

[tex]SI =\dfrac{PRT}{100}[/tex]

Where [tex]P[/tex] is the principle amount

[tex]R[/tex] is the Rate of interest per annum

[tex]T[/tex] is the time in years.

Time = 21 months = [tex]\frac{21}{12}\ yrs[/tex]

[tex]R_1 = 3\% \\R_2=4\%[/tex]

Let the Principles be [tex]P_1, P_2[/tex].

Using the formula for Simple Interest, we get:

[tex]SI_1=\dfrac{P_1\times 3\times 21}{100\times 12}\\\Rightarrow 15.75=\dfrac{P_1\times 3\times 21}{100\times 12}\\\Rightarrow P_1 = 300[/tex]

[tex]SI_2=\dfrac{P_2\times 4\times 21}{100\times 12}\\\Rightarrow 28=\dfrac{P_2\times 3\times 21}{100\times 12}\\\Rightarrow P_2 = 533.33[/tex]

Therefore, principle for account B is greater.

just fill in the blanks pls tyy

Answers

Sowwy I do not know

I hope you have a good day tho

Which of the tables represents a function?


Table A
Input Output
5 3
5 2
4 1
Table B
Input Output
1 2
3 2
5 3
Table C
Input Output
0 0
1 2
1 3
Table D
Input Output
4 2
4 3
4 4








Table A
Table B
Table C
Table D

Answers

Answer:

table b i think

Step-by-step explanation:

Tanner measured the rate of oil draining from a tank. His measurements showed that the relationship betwđen the height (in inches) of the oil in the tank, h,
and the time in minutes) that the oil was draining, t. could be modeled by the equation h = 8 -0.25t.
According to the model, how long will the oil need to drain for the height to decrease by 1 inch?
0.25 minutes
1 minute
4 minutes
8 minutes

Answers

Answer:

8

Step-by-step explanation:

You want to save $10,000 to buy a new car You doposit 6500in an account earning 7.5% simple interest. After how long will you have enough money
in the account to purchase the car? Round your answer to the nearest whole number

Answers

Answer:

After 7.5 years we will have enough money in the account to purchase the car.      

Step-by-step explanation:

Amount needed to be saved = $10000

Principal = $6500

So, Simple Interest = $3500

Rate of Interest = 7.5%

                         = 0.075

Now, Simple Interest = Principal × Rate × Time

⇒ 3500 = 6500 × 0.075 × Time

⇒ 3500 = 487.5 × Time

⇒ Time = 7.18 years ≈ 7.5 years

Hence, after 7.5 years we will have enough money in the account to purchase the car.

Step-by-step explanation:

The distance y (in centimeters) a spring is compressed by a force x (in kilograms) is given by
y = 0.065x.
Complete a table of values for
x = 20, 40, 60, 80, and 100
to determine the distance the spring is compressed for each of the specified forces.

Answers

Answer:

(x, y) = {(20, 1.3), (40, 2.6), (60, 3.9), (80, 5.2), (100, 6.5)}

Graph C represents the table of values

Step-by-step explanation:

To complete the table, substitute each value of x into the equation, [tex] y = 0.065x [/tex], to find each corresponding y-value.

Thus:

✔️When x = 20:

[tex] y = 0.065x [/tex]

[tex] y = 0.065(20) [/tex]

[tex] y = 1.3 [/tex]

✔️When x = 40:

[tex] y = 0.065x [/tex]

[tex] y = 0.065(40) [/tex]

[tex] y = 2.6 [/tex]

✔️When x = 60:

[tex] y = 0.065x [/tex]

[tex] y = 0.065(60) [/tex]

[tex] y = 3.9 [/tex]

✔️When x = 80:

[tex] y = 0.065x [/tex]

[tex] y = 0.065(80) [/tex]

[tex] y = 5.2 [/tex]

✔️When x = 100:

[tex] y = 0.065x [/tex]

[tex] y = 0.065(100) [/tex]

[tex] y = 6.5 [/tex]

✔️The graph of that represents this table of values is graph C. See attachment.

please help I promise it is easy

algebra 1

Answers

Answer:

y=1/x-1/5

Step-by-step explanation:

tell me if u have more questions

y=-x+5

is the line so to make it perpendicular

y=1/x-1/5 i gtg

A person standing 130 feet away from the foot of a tall building must look up at an angle of 30° to see the top of the building. There is a radio antenna on the top of the building. The angle of elevation of the top of the radio antenna is 45°.

Answers

Answer:

30 angels

Step-by-step explanation:

can someone explain

Answers

Answer:

K = -2

Step-by-step explanation:

K represents the y-intercept, which is where the line crosses the y axis. We can see from the y = -4x -2, that -2 is the y-intercept, because in y =  mx + b, b is the y -intercept.

~theLocoCoco

Which fraction is not equivalent to 9/12
PLEASE HURRY

Answers

Answer:

1/2

1/2 = 50%

9/12 = 75%

Step-by-step explanation:


Select the correct answer.
Consider these functions:
f(x) = 2x^3+3
g(x) =x- 4
What is the value of g(f(x))?

Answers

Answer:

A. 2x³ - 1

General Formulas and Concepts:

Algebra I

Composite Functions

Step-by-step explanation:

Step 1: Define

f(x) = 2x³ + 3

g(x) = x - 4

Step 2: Find g(f(x))

Substitute:                      g(f(x)) = (2x³ + 3) - 4Simplify:                          g(f(x)) = 2x³ - 1

help i need the answer

Answers

Answer:

the first one

[tex].5x+10\geq .25x+15[/tex]

Step-by-step explanation:

They want to know how much I will take for the amount they have read to be the same. So that automatically crosses out the last one. They asking you to subtract anything so that crosses the third one out. The second option has the number of pages the both read first switched so that crosses that one out.

I hope this explanation was helpful.

Please answer quickly, thanks. :) 35 points and if you answer there are more so you can get 250 points

Answers

Answer:

11 cars/day

Step-by-step explanation:

What we know:

After two days, Car-Mart has 43 cars left. After 3 days, it is 32. After five, 10 cars.

Saying that, subtract 32 from 43 to get your rate of 11 cars sold a day.

I can further deduce they started with 76 cars. On day 1 they had 65 cars. On day 4 they had 21 cars. They will have sold all of their cars after day 6.

Need HELP
Evaluate the expression
14.3-2x5²÷5

Answers

I got 4.3. . . . . . . . . .

Answer:

4.3

Step-by-step explanation:

14.3 - 2 × 5² ÷ 5

14.3 -2 ×25÷5

14.3 -2 × 5

14.3 - 10

4.3

Which expression is equivalent to 15x + 3?
15(1x + 1)
5(3x + 1)
3(5x + 1)
2(15x + 3)

Answers

The answer is 3(5x+1)
It is 3(5x + 1). Multiply 3 with 5 and multiply 3 with 1, then you will get 15x + 3
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