An airplane begins its decent toward the airport, modeled by the function
A(t)=29500−500t , where t is in minutes and A(t) is in feet.

What is the domain of the function within the context?

Answers

Answer 1

Using function concepts, it is found that the domain in this context is [tex]0 \leq t \leq 59[/tex].

The domain of a function is the set that contains all possible input values.

In this problem, the height of the airplane after t seconds is modeled by:

[tex]A(t) = 29500 - 500t[/tex]

This function is only valid for non-negative values of t, that is, [tex]t \geq 0[/tex], and for non-negative altitudes, that is:

[tex]A(t) \geq 0[/tex]

Thus:

[tex]29500 - 500t \geq 0[/tex]

[tex]-500t \geq -29500[/tex]

[tex]500t \leq 29500[/tex]

[tex]5t \leq 295[/tex]

[tex]t \leq \frac{295}{5}[/tex]

[tex]t \leq 59[/tex]

Thus, the domain for the function in this context is: [tex]0 \leq t \leq 59[/tex].

A similar problem is given at https://brainly.com/question/17732416


Related Questions

Please help with this math problem! Will give brainliest! :)

Answers

Answer:

9

Step-by-step explanation:

All triangles (3 sided polygons) have angles added up to 180, so we can do the following:

(7x-1) + (7x+8) + (5x+2) = 180° - equation

7x-1 + 7x+8 + 5x+2 = 180° - "distribute"

19x - 1 + 8 + 2 = 180° - combine the x terms

19x + 9 = 180° - combine the integer terms

19x = 171 - subtract 9 form both sides

x = 9 - divide both sides by 19

5^n=0.2 need to find value of n

Answers

Answer:

Below

Step-by-step explanation:

5^n = 0.2

First write the number in exponential form with the base of 5 :

     5^n = 5^-1

Because the bases are the same, we can set the exponents as equal :

     x = -1

Hope this helps! Best of luck <3

How to check 20p+75=35p+30

Answers

[tex]20p+75=35p+30[/tex]

Step 1: Subtract [tex]20p[/tex] from both [tex]p[/tex] sides

[tex]\:\:\:\:20p+75=35p+30\\-20\:\:\:\:\:\:\:\:\:\:\:\:-20[/tex]

20 - 20 = 0, so it is canceled out. 35 - 20 = 15, don't forget the [tex]p[/tex]!

[tex]75=15p+30[/tex]

Step 2: Subtract 30 from both sides

[tex]\:\:\:\:75=15p+30\\-30\:\:\:\:\:\:\:\:\:\:\:\:-30[/tex]

30 - 30 = 0, so it is canceled out. 75 - 30 = 45.

[tex]45=15p[/tex]

Step 3: Divide both sides by 15

[tex]\frac{45}{15} =\frac{15p}{15}[/tex]

15 ÷ 15  cancels out. 45 ÷ 15 = 3.

[tex]20p+75=35p+30\quad :\quad \boxed {\bold {p=3}}[/tex]

Answer:

20p+75=35p+30

Step-by-step explanation:

Two similar cups are 3cm and 5cm deep,if the longer cup has 625cm of water.what is the volume of the smaller one​

Answers

Answer:

81

Step-by-step explanation:

the 5 cm deep cup is 625 which is 5^4

that means that the 3cm deep cup should be 81 which is 3^4

The stock market drops 18 points.

Answers

or stocks, one point equals one dollar. So when you hear that a stock has lost or gained X number of points, it is the same as saying the stock has lost or gained X number of dollars.

Using points to describe share price gains, or declines, is generally done to describe short-term results, such as for the day or week.

Although one point always equals one dollar, the percentage value of a one-point movement can be different for two companies. Points refer only to the dollar amount that has changed, not the percentage. Two stocks can lose the same number of points but very different percentages.

Can someone help me please?and if you don’t know the answer don’t answer.

Answers

Answer:

a=3, b=3, c=5, d=2

Step-by-step explanation:

prime factorization of 600: [tex]2^{3}[/tex] × 3 × [tex]5^{2}[/tex]

*PLEASE ANSWER IT'S CONFUSING!!!* *ILL GIVE BRAINLIEST*!!!!!
Riley and Layla are interested in forming a partnership but are concerned about the associated taxes. If the partnership agreement is set such that 80% of earnings go to Riley and 20% go to Layla, which of the following correctly describes how taxes will be paid on the earnings?(1 point)

a.) The partnership itself will pay the tax on each portion of earnings after they have been distributed to Riley and Layla.

b.) Riley and Layla will each pay personal income tax on half of the partnership's total earnings regardless of how the earnings are distributed.

c.) Riley and Layla will each pay personal income tax on the portion of earnings that is theirs.

d.) The partnership itself will pay the tax on total earnings before the earnings are distributed to Riley and Layla.

Answers

Answer:

c

Step-by-step explanation:

Answer:

c.) Riley and Layla will each pay personal income tax on the portion of earnings that is theirs.

Step-by-step explanation:

Take away -7x from {2y-2x}

Answers

Answer:

loading, please wait...

Step-by-step explanation:

Answer:

2y + 5x

Step-by-step explanation:

{ 2y - 2x } - ( - 7x )

= 2y - 2x + 7x

= 2y + 5x

HELP PLEASE QUICK I BEG I SUCK AT MATH

Answers

It would be y=3/8x + 5

Answer:

y = 3/8x + 3

Step-by-step explanation:

Parallel lines have the same slope. In given equation, y = 3/8x + 5, the slope, m = 3/8. Therefore, the other line must also have the same slope.

Using the slope, m = 3/8, and the given point, (16, 9), substitute these values into the slope-intercept form:

y = mx + b

9 = 3/8(16) + b

9 = 6 + b

9 - 6 = 6 - 6 + b

3 = b (this is the y-intercept).

Now that we have our slope, m = 3/8, and the y-intercept, b = 3:

The equation of the line parallel to y = 3/8x + 5 is:

y = 3/8x + 3

What is 93.195 written in expanded form?

Answers

Standard Form:

93.195

Expanded forms can be written like a sentence or stacked for readability as they are here.

Expanded Notation Form:

 93.195 =

 90  

+ 3  

+   0.1

+   0.09

+   0.005

Expanded Factors Form:

   93.195 =

 9 × 10  

+ 3 × 1  

+ 1 ×   0.1

+ 9 ×   0.01

+ 5 ×   0.001

Expanded Exponential Form:

 93.195 =

9 × 101

+ 3 × 100

+ 1 × 10-1

+ 9 × 10-2

+ 5 × 10-3

Word Form:

93.195 =

ninety-three and one hundred ninety-five thousandths

Explain why:
2⁴ = 16.

Answers

Answer:

Well, 2 to the 4th power is just: 2 x 2 x 2 x 2 which when multiplied, you get 16.

Step-by-step explanation:

Say you multiply the first two 2's, you get 4, then you multiply the last two 2's,

You're left with 4x4 which is equal to 16.

WHOEVER GETS THIS RIGHT WILL HAVE 60+ POINTS (MATH) NO BAD ANSWERS ORELSE REPORTING

Answers

9514 1404 393

Answer:

  a. 2x +y = 10; 2x +3y = 22

  b. 6 minutes

Step-by-step explanation:

a) The problem statement tells you that ...

  x = minutes around the block

  y = minutes around the park

  2x +y = 10 . . . . twice around the block and once around the park: 10 min

  2x +3y = 22 . . . twice around the block and 3 times around the park: 22 min

__

b) Subtracting the first equation from the second gives ...

  (2x +3y) -(2x +y) = (22) -(10)

  2y = 12 . . . . . . . . simplify

  y = 6 . . . . . . . . . divide by 2

It takes you 6 minutes to jog around the park.

Answer:

Part A) The system of equations is

[tex]2x+y=10[/tex]

[tex]2x+3y=22[/tex]

Part B) The number of minutes it takes you to jog around the park is [tex]6[/tex] mins

Explanation:

Part A) Write a system of linear equations

Let [tex]x[/tex] ----> the number of minutes it takes you to jog around the block

Let [tex]y[/tex] ----> the number of minutes it takes you to jog around the park

we know that [tex]2x+y=10[/tex] ----> equation A

and [tex]2x+3y=22[/tex] ----> equation B

Part B) How long does it take you to jog around the park?

Multiply equation A by [tex]-1[/tex] both sides

[tex]-1(2x+y)=-10[/tex] ----> [tex]-2x-y=-10[/tex] ----> equation C

Adds equation B and equation C

[tex]2x+3y=22[/tex]

[tex]-2x-y=-10[/tex]

____________

[tex]3y-y=22-10[/tex]

[tex]2y=12[/tex]

[tex]y=6[/tex] minutes

Find the value of [tex]x[/tex]

[tex]2x+(6)=10[/tex]

[tex]2x=10-6[/tex]

[tex]x=4/2=2[/tex] minutes

Credit:

(This answer was originally made by calculista. All credit goes to them.)

Write the inverse, converse and contrapositive of the given conditional statement.

"If it is a leap year, then it is a year with 366 days.."

CONVERSE:

INVERSE:

CONTRAPOSITIVE:

Answers

Answer:

converse: if a year has 366 days then it is a leap year

inverse: if it is not a leap year then it is not a year with 366 days

contrapositive: if a year does not have 366 days then it is not a leap year

please show your work thanks.

Answers

Answer:

I don't know how 2 answer

Step-by-step explanation:

It doesn't show the fraction

4a) The vertices of a triangle are P(-7, -4) Q(-7, -8) and R(3, -3). What are the
coordinates of P' after a reflection over y=x? Please type your answer as
coordinates (x,y) with no spaces.

Answers

Answer:

P' (-4 , -7)

Step-by-step explanation:

reflection over y=x, (x,y) -> (y,x)

Find the unit rate . Round to the nearest hundredth if necessary .
$420 for 15 tickets

A. $28 per ticket
B. $ 0.04 per ticket
C. $ 405 per ticket
D. $ 840 per 30 ticket

Answers

It’s a.
28x15 is $420

PLEASE HELP!!
What two rational expressions sum to 3x-4/x^2+x-12 ? enter your answer so that each rational expression is in simplified form​

Answers

3x/(x-3)(x+4) + -4/(x+4)(x-3)

The rational expression [tex]\frac{3x - 4}{x^2 + x - 12}[/tex] can be written as the sum of two partial fractions as [tex]\frac{3x}{(x+4)(x - 3)} - \frac{4}{(x+4)(x-3)}[/tex].

What is a partial fraction?

For the decomposition of a rational equation, partial fractions are used. Each component of an algebraic expression that is divided into a sum of two or more rational expressions is referred to as a partial fraction.

Given, A rational expression [tex]\frac{3x - 4}{x^2 + x - 12}[/tex].

Now, x² + x - 12 can be written as

x² + x - 12.

= x² + 4x - 3x - 12.

= x(x + 4) - 3(x + 4).

= (x + 4)(x - 3).

Therefore, [tex]\frac{3x - 4}{x^2 + x - 12} = \frac{3x - 4}{(x + 4)(x - 3)}}[/tex].

[tex]\frac{3x - 4}{x^2 + x - 12} = \frac{3x}{(x+4)(x - 3)} - \frac{4}{(x+4)(x-3)}[/tex].

learn more about partial fractions here :

https://brainly.com/question/2273342

#SPJ2

Ok last one,
Find the x-intercept of the following equation. Simplify your answer.

4x + 13y = 6


x-intercept =

Answers

Answer:

 x-intercept = 6/4 = 3/2 = 1.50000

Step-by-step explanation:

Rearrange:

Rearrange the equation by subtracting what is to the right of the equal sign from both sides of the equation :

                    4*x+13*y-(6)=0

Step 1: Equation of a Straight Line

Solve   4x+13y-6  = 0

Tiger recognizes that we have here an equation of a straight line. Such an equation is usually written y=mx+b ("y=mx+c" in the UK).

"y=mx+b" is the formula of a straight line drawn on Cartesian coordinate system in which "y" is the vertical axis and "x" the horizontal axis.

In this formula :

y tells us how far up the line goes

x tells us how far along

m is the Slope or Gradient i.e. how steep the line is

b is the Y-intercept i.e. where the line crosses the Y axis

The X and Y intercepts and the Slope are called the line properties. We shall now graph the line  4x+13y-6  = 0 and calculate its properties

Graph of a Straight Line :

Calculate the Y-Intercept :

Notice that when x = 0 the value of y is 6/13 so this line "cuts" the y axis at y= 0.46154

 y-intercept = 6/13  =  0.46154  

Calculate the X-Intercept :

When y = 0 the value of x is 3/2 Our line therefore "cuts" the x axis at x= 1.50000

 x-intercept = 6/4 = 3/2  =  1.50000  

Calculate the Slope :

Slope is defined as the change in y divided by the change in x. We note that for x=0, the value of y is 0.462 and for x=2.000, the value of y is -0.154. So, for a change of 2.000 in x (The change in x is sometimes referred to as "RUN") we get a change of -0.154 - 0.462 = -0.615 in y. (The change in y is sometimes referred to as "RISE" and the Slope is m = RISE / RUN)

   Slope     = -0.615/2.000 = -0.308  

Geometric figure: Straight Line

 Slope = -0.615/2.000 = -0.308

 x-intercept = 6/4 = 3/2 = 1.50000

 y-intercept = 6/13 = 0.46154

What is the base of the expression 11^12

A.3

B.11

C.12

D.21

Answers

Answer:

21

Step-by-step explanation:

cus i got it right  on my test

gghjuyhyghggjtfdfhhhfgjfhhf​

Answers

Hello.

Have a beautiful and joyful day ahead.

Answer:

Step-by-step explanation:

was there a actual question ?

have a good day

What is the length of segment HK?

Answers

[tex]▪▪▪▪▪▪▪▪▪▪▪▪▪  {\huge\mathfrak{Answer}}▪▪▪▪▪▪▪▪▪▪▪▪▪▪[/tex]

Let's take length of HK = n

By using trigonometry,

[tex] \sin(30) = \dfrac{22}{n} [/tex]

[tex] \dfrac{1}{2} = \dfrac{22}{n} [/tex]

[tex]n = 44[/tex]

Hence, value of HK = 44 cm

[tex]\\ \rm\Rrightarrow sin\theta=\dfrac{Perpendicular}{Hypotenuse}[/tex]

[tex]\\ \rm\Rrightarrow sin30=\dfrac{JK}{HK}[/tex]

[tex]\\ \rm\Rrightarrow sin30=\dfrac{22}{HK}[/tex]

[tex]\\ \rm\Rrightarrow HK=\dfrac{22}{sin30}[/tex]

[tex]\\ \rm\Rrightarrow HK=44[/tex]

7. Which of the following is the LCM of 24, 48, and 80? A. 220 C. 260 B. 240 D. 280

8. What are the first 3 common multiples of 3, 4, and 6? A. 12, 24, 30 C. 12, 24, 36 B. 12, 24, 32 D. 12, 24, 42

9. Which of these multiples is the LCM of 12, 16, and 24? A. 24 C. 54 B. 48 D. 60

10.Alfred Jun visits the library once every 2 days. Jayson visits it once every 3 days while Justine Louie once every 4 days. They all meet one day in the library. After how many days will they meet in the library again? A. 12 C. 20 B. 16 D. 24​

Answers

[tex]▪ ▪ ▪ ▪ ▪ ▪ ▪ ▪ ▪ ▪ ▪ ▪ ▪ { \huge \mathfrak{Answer}}▪ ▪ ▪ ▪ ▪ ▪ ▪ ▪ ▪ ▪ ▪ ▪ ▪ ▪ [/tex]

7.) LCM of 24, 48, 80

24 = 2 × 2 × 2 × 3

48 = 2× 2 × 2 × 2 × 3

80 = 2 × 2× 2 × 2 × 5

so, LCM = 2 × 2 × 2 × 2 × 3 × 5 = 240

8.) first three Common multiples of 3, 4, and 6

LCM = 12

first three common multiples of given numbers is first three multiples of their LCM, that is

12

24

36

9. LCM of 12, 16 and 24

12 = 2 × 2 × 3

16 = 2 × 2 × 2 × 2

24 = 2 × 2 × 2 × 3

LCM = 2 × 2 × 2 ×2 × 3 = 48

10. The day when the three of them will meet is LCM of the number of days they visit the library every week.

that is LCM of 2 , 3 and 4

that is 12

Answer:

7. 240

8. 12, 24, and 36

9. 48

10. 12

Step-by-step explanation:

7. Do the multiple of 24, 48, and 80. Then find the LEAST common number that all three numbers have in common. (Answer: 240)

8. Do the multiple of 3, 4, and 6. Then find 3 LEAST common numbers that all three numbers have in common. (Answer: 12, 24, and 36)

9. Do the multiple of 12, 16, and 24. Then find the LEAST common number that all three numbers have in common. (Answer: 48)

10. Do the multiple of 2, 3, and 4. Then find the LEAST common number that all three numbers have in common. (Answer: 12)

STEPS ON HOW TO SOLVE:

Step 1: Find the smallest prime number that is a factor of at least one of the numbers, 3, 4, and 6. Write this prime number(2) on the left of the given numbers(3, 4, and 6), separated as per the ladder arrangement.

Step 2: If any of the given numbers (3, 4, 6) is a multiple of 2, divide it by 2 and write the quotient below it. Bring down any number that is not divisible by the prime number.

Step 3: Continue the steps until only 1s are left in the last row.

The LCM of 3, 4, and 6 is the product of all prime numbers on the left, i.e. LCM (3, 4, 6) by division method = 2 × 2 × 3 = 12.

What is the domain and range of the following function

Answers

Answer:

DOMAIN: (INFINITY, -INFINITY)

RANGE: (-infinity, INFINITY)

Step-by-step explanation:

hm good luck cus I'm a savage

Answer:

domain: (–∞,∞)    or  all real numbers

range: (–∞,∞)       or  all real numbers

Step-by-step explanation:

domain is left to right (x-axis). looking at the graph, as you go from left to right, the x-values are infinitely getting more negative and positive.

range is bottom to top (y-axis). as you go from bottom to top, the y-values are infinitely getting more negative and positive.

A line contains the points(−26, −37) and(−32, −61).

What is the slope of the line in simplified form?

Question 1 options:

4


-4


14

−14

Answers

Answer:   4 (Option 1)

Step-by-step explanation:

The slope of the line = (y₂ - y₁) ÷ (x₂ - x₁)

                                   = (-37 - (-61)) ÷ (-26 - (-32))

                                   = 24 ÷ 6

                                   =  4

What is the rate of change over the interval [-1,2] for f(x)= 4x +1

Answers

Answer:

4

Step-by-step explanation:

To find the average rate of change, we have to plug in the difference between the intervals with this equation: f(b) - (fa) / x₂ - x₁

Let f(a) = f(-1) = 4(-1) + 1

     f(b) = f(2) = 4(2) + 1

     x₂ = 2

     x₁ = -1

[4(2) + 1 - (4(-1) + 1)] / [2 - (-1)]

[8 + 1 + 4 - 1] / [3]

12 / 3 = 4

In a class, 4/7 of the total number of students are boys. If 2/5 of the boys or 8 boys are wearing spectacles, calculate the number of girls in the class.

Answers

Answer:

15

Step-by-step explanation:

let total num of boys be X.

then,2/5 of X = 8

2 ×x = 40

X = 20

Now, let the total num of students be y,then we get,

4/7 of y = 20

4 × y = 140

y = 35

similarly, total num of girls = total num of students - total num of boys

= 35 - 20

= 15 ans

I need help please and thank you​

Answers

your

Step-by-step explanation:

jsbsbnajdbdnsnsazxxss

Help solve this pleASE

Answers

Answer:

i have no idea 5

Step-by-step explanation:

i need help too please help

which list contians three multiples of 3

Answers

Answer:

Without any answers, I can't give you information. But if the numbers in the list would be able to be divided by 3, resulting in a whole number - no fractions or decimals - then it's considered a multiple of 3.

Step-by-step explanation:

Solve for x..:…

willl give brainliest

Answers

Answer:

x = 6

Step-by-step explanation:

(6x + 2) and 38 are vertically opposite angles and are congruent, then

6x + 2 = 38 ( subtract 2 from both sides )

6x = 36 ( divide both sides by 6 )

x = 6

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