Kata gets on a moving walkway at the airport. Then, 8 s after she gets on, she taps Lisa, who is standing alongside the walkway. The graph shows Kata's distance from Lisa over time. Calculate the rate of change in her distance from Lisa from 6 s to 8 s, and then from 8 s to 12 s. What do the rates of change mean in terms of Kata’s movement?

Answers

Answer 1

The average rate of change over each interval is given as follows:

6 s to 8 s: -1 ft/sec.8 s to 12 s: 2.5 ft/sec.

The meaning of these rates is that Kata was behind Lisa, then met her after 8 seconds and started distancing herself.

How to obtain the average rate of change?

The average rate of change of a function is given by the change in the output divided by the change in the input.

The numeric values for the function are given as follows:

d(6) = 2.d(8) = 0.d(12) = 10.

Then the rates are calculated as follows:

6 s to 8 s: (0 - 2)/(8 - 6) = -1 ft/sec.8 s to 12 s: (10 - 0)/(12 - 8) = 2.5 ft/sec.

Missing Information

The graph is given by the image presented at the end of the answer.

More can be learned about the average rate of change of a function at brainly.com/question/11627203

#SPJ1

Kata Gets On A Moving Walkway At The Airport. Then, 8 S After She Gets On, She Taps Lisa, Who Is Standing

Related Questions

Find the measure of unlabeled angle in the quadrilateral

Answers

Answer:

x=140

Step-by-step explanation:

A quadralterial interior angles sum up to 360. We are given three angles and need to find the missing angle.

Let x, represent the missing angle.

[tex]60 + 55 + 105 + x = 360[/tex]

[tex]220 + x = 360[/tex]

[tex]x = 140[/tex]

I have 8 pennies and some quarters, nickels, and dimes. The number of pennies plus nickels equals the number of dimes. I have 3 quarters for every 2 pennies and 3 dimes for every 2 quarters. How many coins are nickels? A. 28 B. 18 C. 15 D. 10

Answers

The answer is D. 10 nickels

Answer:

The answer is D.) 10

Step-by-step explanation:

I took a quiz and according to that its correct

URGENT: Find the value of X

Answers

Answer:

72x

Step-by-step explanation:

Calculate the area of triangles using two different methods. figures are now drawn to scale.

Answers

Answer:

the formula is base times hight divided by two so use the formula to sovle the problem

Step-by-step explanation:

The area of the triangles given are 52.5 feet² and 369 inches² respectively.

What is Area?

Area of a two dimensional shape is the total region which is bounded by the object's shape.

The basic formula to calculate the area of a triangle is,

Area = [tex]\frac{1}{2}[/tex] × base × height

1. Base = 12 + 3 = 15 feet

Altitude/height = 7 feet

Area = [tex]\frac{1}{2}[/tex] × 15 × 7 = 52.5 feet²

2. Calculating the area of two separate triangles and then adding it,

Area = ([tex]\frac{1}{2}[/tex] × 32 × 18) + ([tex]\frac{1}{2}[/tex] × 9 × 18)

        = 288 + 81

        = 369 inches²

Hence the area of the two figures is 52.5 feet² and 369 inches² respectively.

Learn more about area here :

https://brainly.com/question/11952845

#SPJ2

There are 8 red, 4 green and 12 yellow balls in a box. If you choose one ball from the box, what is the probability that it will be a yellow ball?

Answers

Answer:

50% percent chance the ball will be yellow

Step-by-step explanation:

Find the amount of all the balls-24 and the amount of yellow balls-12

Then divide the number of yellow balls by the number of total balls.

12÷24=0.5

0.5=50%

m + 2 + 5mz when m= 4 and y= 10
Show your work ty

Answers

Answer:

206

Step-by-step explanation:

replace:

M(4) + 2 +5M(4)Z(10)

4 + 2 + 5(40)

4 + 2 + 200 =

206

what problem can be solved using 3/5 divided by 5/8

Answers

Answer: 24/25

Step-by-step explanation:

= 3/5 ÷ 5/8

= 3/5 × 8/5

= 24/25

When Emily arrives from school she spent a minute eating a snack then she spent 15 playing with her dog and 32 doing her chores

Answers

The question is incomplete:

When Emily arrived home from school she spent a minutes eating a snack. Then, she spent 15 minutes playing with her dog and 32 doing her chores . Finally, Emily spent 45 minutes finishing her homework. How long had Emily been home when she finished?

Answer:

Emily had been home for 1 hour and 33 minutes.

Step-by-step explanation:

In order to find the answer, first you have to add up the time she spent in each activity to find the amount of minutes she had been at home when she finished:

1+15+32+45=93

Now, you can express the 93 minutes in hours considering that one hour has 60 minutes. According to this, Emily had been home for 1 hour and 33 minutes (93-60=33).

A 27 meter piece is of string stretched the top of 25 meter flagpole to the ground.How far is the base of the flagpole from the end of the piece of string?

Answers

Answer:

base = 10.2 meters

Step-by-step explanation:

using the Pythagorean theorem:

base² = 27² - 25² = = 729 - 625 = 104

base = 10.2 meters

what is 1257÷45 I really need help​

Answers

Exact Form:

419/15

Decimal Form:

27.93...

Mixed Number Form:

27  14/15

Hope this helps(:

Calculate the puppy's speed at 6 seconds.



Answers

The answer is A hope that helps

Answer:

a. 6 m/s

Step-by-step explanation:

Distance = 36 meters

Time = 6 seconds

Speed = Distance ÷ Time

Speed = 36 m ÷ 6 secs

Speed = 6 m/s

Which one should I pick?

Answers

Answer:

x = 7, y = 16

Step-by-step explanation:

From the diagram shown;

2x+5 = x+12

collect the like terms

2x-x = 12 - 5

x = 7

Similarly, y - 4 = x+5

y-4 = 7+5

y - 4 = 12

y - 12+4

y = 16

hence x = 7, y = 16

Elyssa bought a rectangular aquarium . The measurements , in feet (ft) , are shown below. How much water will it take to fill the aquarium?

Answers

Answer: The answer is 34 13/20.

Step-by-step explanation:

I did it and was correct for me! Hope it helps ❤️

Answer:

34 13/20

Step-by-step explanation:

Chris got 28 out of 35 correct in his test.
What fraction of the marks did he get correct?

Answers

Answer:

4/5

Step-by-step explanation:

28/35=4/5 You simply put the number he got over the original then simplify.

h+37=1

Whats the answer of H?

Answers

Answer:

h = -36

Step-by-step explanation:

-36 + 37 = 1 can be rewritten as 37 - 36 = 1. Since both equations are true, we have found the answer and checked it.

-36 is your answer.

Hope this helps. Have a nice day.

h= -36 is the answer

circle has diameter 10. What's the area?
a
50π
b
20π
c
100π
d
25π

Answers

Answer:

D) 25π

Step-by-step explanation:

Area of a circle formula:

A = πr²

r = d/2 = 5

Work:

A = πr²

A = π5²

A = 25π

how do you write the equation of a line in slope intercept form looking at a table?​

Answers

Slope-intercept form: [tex]y=mx+b[/tex] where m is the slope and b is the y-intercept

1) Determine the slope (m)

To find the slope, take two points from the table, [tex](x_1,y_1)[/tex] and [tex](x_2,y_2)[/tex] and plug them into the following equation to solve for m:

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

Plug m into [tex]y=mx+b[/tex] .

2) Determine the y-intercept (b)

Take any point given in the table and plug them into [tex]y=mx+b[/tex] (along with the slope that you solved for earlier) as [tex](x,y)[/tex]. Solve for b. Plug b back into [tex]y=mx+b[/tex] along with the slope.

I hope this helps!

What is 25=10+w. I need it ASAP ROCKY

Answers

Answer:

W=25-10=15..........

Solve by elimination
-2x+5y=-1
3x+2y=11

Answers

Answer:

x=3, y=1

Point Form is

(3,1)

Step-by-step explanation:

Calculate the simple interest collected by the bank if $1,500 is loaned for 3 years at 8% per annum

Answers

Answer:

$1500 divided by3=500

500+8=508

Answer:

$360

Step-by-step explanation:

I=PTR      =1500X3X8  = 36,000= $360

  100            100              100

3. Ms. Basalyga won $2,000 in a math contest. She had to pay 13.5% of that amount
in taxes to the government. How much did Ms. Basalyga pay in taxes?

Answers

Answer:

. Ms. Basalyga won $2,000 in a math contest. She had to pay 13.5% of that amount

in taxes to the government. How much did Ms. Basalyga pay in taxes?

13.5/100×2000=270

Answer: Ms. Basalyga won $2,000 in a math contest. She had to pay 13.5% of that amount in taxes to the government. How much did Ms. Basalyga pay in taxes?

:13.5/100×2000=270

Step-by-step explanation

Rob is saving to buy a new MP3 player. For every $12 he earns babysitting, he saves $9. On Saturday, Rob earned $36 babysitting. How much money did he save?

Answers

Answer:

$27

Step-by-step explanation:

Set up a proportion where x is the amount of money he saved:

[tex]\frac{12}{9}[/tex] = [tex]\frac{36}{x}[/tex]

Cross multiply and solve for x:

12x = 324

x = 27

So, he saved $27

If a scale uses 2 cm to represent 6 ft., how many centimeters will be used to represent 21 ft.?

Answers

Answer: 7 cm

Step-by-step explanation:

2=6

4=12

6=18

8=24

7=21

HELP ME PLEASE I DONT GET ITTT

Answers

i think it’s a) getting faster

Answer:

B. Getting Faster

Step-by-step explanation:

A. is incorrect, if it was getting slower it would be going the opposite direction.

C. is incorrect, it is not moving at a constant speed, the speed changes a couple times but still gets faster.

D. is incorrect, because it is very clearly moving. If it wasn't moving the line would be flat.

A taxi cab costs $1.75 for the first mile and $0.75 for each additional mile. Which equation could be solved to find how many miles you can travel in a ta
for $15.25, given that is the number of additional miles?

Answers

Answer:

18

Step-by-step explanation:

can you help me answer this?

Answers

The answer is C i think.

Can some one plz help me

Answers

Answer:

A is the answer

Step-by-step explanation:

6 times 3.14 is 18.84

Given,

Diameter of circle = 6 in.

As we know that radius is half of diameter.

Radius = 6 × 1/2 = 3 inches

Now,

[tex] \sf Circumference \: of \: circle = 2 \pi \: r[/tex]

[tex] = \: 2 \times \dfrac{22}{7} \times 3[/tex]

[tex] = \dfrac{44}{7} \times 3[/tex]

[tex] = \dfrac{132}{7} [/tex]

[tex] = 18.84\: in.[/tex]

Hence,option ( a ) is correct.

Mr. Ammons is constructing a walkway through his rectangular Garden. The walkway runs diagonally as shown in the diagram. Which is closest to the length of the walkway?​

Answers

Answer:

your answer will be Option B. 28.3 ft

Step-by-step explanation:

[tex] \sqrt{15 ^{2} } + 24 ^{2} = 28.3[/tex] or

hope it helps you...

have a great day!!

The 28.3 ft is closest to the length of the walkway. the answer will be Option B. 28.3 ft

What is Pythagoras Theorem?

If ABC is a triangle with AC as the hypotenuse and angle B with 90 degrees then we have:

|AC|^2 = |AB|^2 + |BC|^2    

where |AB| = length of line segment AB. (AB and BC are rest of the two sides of that triangle ABC, AC being the hypotenuse).

It is given that Mr. Ammons is constructing a walkway through his rectangular Garden. The walkway runs diagonally as shown in the diagram.

We need to find the length of the walkway.

Using Pythagoras Theorem;

[tex]15^2 + 24^2 = x^{2} \\\\x^{2} = 225 + 576\\\\x^{2} = 801\\\\x = \sqrt{801} \\\\x = 28.30[/tex]

Therefore, 28.3 ft is closest to the length of the walkway. answer will be Option B. 28.3 ft

Learn more about Pythagoras theorem here:

https://brainly.com/question/12105522

#SPJ2

A line has slope = 0 and goes through the point (1, 6). What is the equation of the line in slope-intercept form?

a) y = 1
b) y = 6
c) x = 1
d) x = 6

Answers

Your answer would be d x=6

Answer:

y = 6.

Step- by-step explanation:

A slope of 0 means that the line is horizontal and  would be of the form y = k.

As is pass through  the points where y = 6 ( 1, 6) :-  it is y = 6.

Your local radio station is having their yearly CD and concert ticket giveaway. For one minute every 4th caller will win a CD and every 7th caller will win a concert ticket. You were the second caller to win both a CD and a concert ticket. What number caller were you?

Answers

Answer:

i was number #173

Step-by-step explanation:

Answer:

56

Step-by-step explanation:

You have to find the lcm, and that is 56!  Hope that helps.

Other Questions
All of the following were part of Hamilton's Financial Plan EXCEPT FORaObCState BanksAssumption of all state Revolutionary War debtsAdopt Capitalism as basis of economic systemDomestic tax on whiskey/cornProtective tariffs - tax on importsde Janine and her older sister Ingrid's ages are consecutive even numbers. When Janine's age is divided by seven, and Ingrid's age is divided by three, the sum of those numbers is fourteen. Howold are Janine and Ingrid? What expression is equivalent to 4y? Use slopes and y-intercepts to determine if the lines 4x3y=6 and y=43x1 are parallel. PLSS HELP ME ASAP!!I WILL GIVE YOU BRAINLYEST!!If a school is abandoned how will it look like in 10, 50, and 200 years from now? What animals/plants will it have in every year? add my ro blocx account Sari ran for class president. Each student in her class voted one timer Sari won 25% of the student votesIf Sari received 60 votes, how many students voted altogether? Solve for X and round to the nearest tenth Regalo puntosgift points Find the value of the lettered angles in these diagram Temperature20. When cooling food outside of the refrigerator using the ice bath method, thetemperature of the food must reach ___ within 2 hours and within a total of 6hours?O A. 90F and 61FOB. 100 and 710FO C. 70F and 41FO D. 80F and 51F how long is a woman's pregnancy how to check if serial interface is dte ot DCE? Safety expert Larry Shipiner works for TransWave International, a company that markets patented electronic sensors as an early warning device for locating potential problems with buried pipelines. Shipiner discusses pipeline safety issues with gas, oil, and water companies and explains new federal regulations on pipeline maintenance. He determines what potential safety problems exist, but he does not solicit orders-that is done by a sales team that designs a warning system to meet the specifications of the buyer. Shipiner is an example of a(n) i really need help on this please help me Tell me the Rhythm And Beats EX:one two and three and four What is Anne's attitude towards Holland, her adopted country? I am having a baby day so if you write something wrong Im reporting you Ms. Sung budgets a maximum of $320 per month for groceries. She grocery shops 4 times a month. Which inequality can be used to find the possible values of x, the amount she can spend at the grocery store during each shopping tripA. 4+x 320 (they have a dark line in the bottom of >)D. 4+ x > 320 How many moles of chlorine atoms are there in 0.5 mol of titanium (III) chloride?