Erik rode down an escalator, while Raj rode up.

A coordinate grid showing Escalator Ride with Seconds on the Escalator on the horizontal, t, axis, and Elevation in meters on the vertical, h, axis with 2 lines. One line labeled Erik, and passes through (0, 12) and (8, 6). The second line labeled Raj, passes through (0, 0) and (8, 6).
Erik's elevation is represented by the equation h = 12 – 0.75t, and Raj's elevation is represented by h = 0.75t. What does the point of intersection on the graph represent?

Erik and Raj were at the same elevation after both of them had been riding the escalator for 6 seconds.
Erik and Raj were at the same elevation after both of them had been riding the escalator for 8 seconds.
Erik and Raj were at the same elevation after Erik had been riding the escalator for 6 seconds and Raj had been on the escalator for 8 seconds.
Erik and Raj were at the same elevation after Erik had been riding the escalator for 8 seconds and Raj had been on the escalator for 6 seconds.

Answers

Answer 1

Answer:

B. They were at the same elevation after riding the escalator for 8 seconds

Step-by-step explanation:

Point of Intersection

Answer 2

If we solve the elevation equations of both we find that Erik and Raj were at the same elevation after both of them had been riding the escalator for 8 seconds.

What is a graph?

A graph is a collection of various points on a sheet.

What does the intersection point says?

If we take elevation equations of both and solve we could easily find the value of t

h=12-0.75t

h=0.75t

equating both

0.75t=12-0.75t

1.5t=12

t=8

Hence it means that they were at the same elevation after both of them had been riding the escalator for 8 seconds.

Learn more about graph at https://brainly.com/question/4025726

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Related Questions

simplify (1/5k)^2;uiovpvuylc gjlcgj

Answers

Answer:

i want points lol

Which of the following sets of numbers could represent side
lengths of a right triangle?
Select one:

15 cm, 18 cm. 33 cm

15 cm, 20 cm, 25 cm

15 cm, 16 cm, 17 cm

15 cm, 15 cm, 18 cm

Answers

9514 1404 393

Answer:

  (b)  15 cm, 20 cm, 25 cm

Step-by-step explanation:

Because you know that the triple (3, 4, 5) is a Pythagorean triple, you know that every multiple of it will also give side lengths of a right triangle. Multiplying that triple by 5 gives (15, 20, 25), matching the 2nd choice on the list.

__

Comments on other choices

You also know that (3, 4, 5) is the only Pythagorean triple that has constant differences, so 15, 16, 17 cannot be a right triangle. (It is very nearly an equilateral triangle.)

A right triangle with same-length sides will have a hypotenuse that is √2 times that length, so no right triangle will have two equal integer legs and an integer hypotenuse.

The lengths 15, 18, 33 form a straight line, not even a triangle.

__

For those who insist on seeing an equation:

  15^2 +20^2 = 225 +400 = 625 = 25^2 . . . 15, 20, 25 will form a right triangle

All changes saved
11. Out of 300 students, 45 are in Calculus, 21 are in Statistics, and 14 are in both.
How many students are in neither Calculus nor Statistics?
a. 234
b. 248
c. 220
d. 286

Answers

Answer:

B, 248

Step-by-step explanation:

Out of 45 students in calc and 21 in stats, 14 are repeatedly counted. We can subtract 14 from one group so that this number does not overlap. For example, let us take the calc group:

45-14= 31

31+21 =52 students taking either calc or stats, NOT OVERLAPPED

Everyone else is not taking calc or stats, so 300-52= 248, or B

I hope this helps! :)

Which measures are the sides lengths of a right triangle?
a)4cm 12cm 8cm
b)5cm 12cm 10cm
c)16cm 4cm 6cm
d)30cm 12cm 6cm

Answers

Answer:

b)

Step-by-step explanation:

a) 4+12>8

12+8>4

4+8=12

NO

b) 5+12>10

10+5>12

12+10>5

YES

c) 16+4>6

6+4<16

NO

d) 30+12>6

12+6<30

NO

Question 4 15 points
(MC)
Read the following excerpt from the article "Vision, Voice and the Power of Creation: An Author Speaks Out," by T. A. Barron, and answer the question that follows:

Yet deeper than character, or even place, is another concept: voice. More than any other doorway to the imagination, I find this one the trickiest to open-and the hardest to close. For a character's true voice is heard, its tones, cadences, and ideas are long remembered.

The ancients [people from ancient history] used anima, in fact, to describe breath as well as soul. That is wholly appropriate, for in the breath-the voice-of a character lies its essential spirit. If the writer can truly hear the voice of a character, so will the reader.

Which phrase explicitly states the author's attitude about voice?

Question 4 options:

1)

It is the trickiest door to open.

2)

The ancients invented it.

3)

Only the writer hears it.

4)

The reader will always hear it.

Answers

Answer:

1) It is the trickiest door to open

Step-by-step explanation:

5.01 FLVS

Answer:

it is the trickiest door to open

Step-by-step explanation:

i took the test

What is the first error Alycia made in her proof.

Answers

Answer: Alycia only established some of the necessary conditions for a congruence criterion.

Step-by-step explanation: Two triangles are congruent if their corresponding sides or/and corresponding angles are the same.

There are 5 ways to find out if the triangles are congruent.

The one Alycia used seems to be the one called Side-Angle-Side, which states that if two sides and its included angle is equal to the corresponding sides and angle of the other triangle, they are congruent.

For triangles ΔOPQ and ΔSTR to be congruent, using that theorem:

1) ∠O = ∠S

2) OP = TS

And

3) RS = OQ

So, Alycia's error is that she didn't prove RS = OQ, which would definitively  conclude that both triangles are congruent.

Answer:

Alycia used a criterion that does not guarantee congruence.

Step-by-step explanation:

A proof is a formal description of how we can know that something is true based on the information from a mathematical scenario.

Each step of the proof is a transformation, a construction, or a statement about what we can conclude from earlier steps.

For a two-column proof we give a reason to justify each statement. Common reasons include geometric theorems, algebraic properties, and information given in diagrams.

Let's check the reason for each step and whether Alycia established the conditions for it.

Step 1

The diagram does support the claim that OP=ST=4

Step 1 is correct

Step 2

The diagram does support the claim that OP is parallel to ST because they both have an arrow mark.

Step 2 is correct.

Step 3

<O is indeed congruent to ∠S because they are alternate interior angles between parallel lines.

Step 3 is correct.

Step 4

In this step, Alycia claims that the triangles are congruent using a "side-angle" criterion. She did establish the conditions for claiming that the figures has one pair of congruent corresponding sides and one pair of congruent corresponding angles.

~From Step 1, we know OP is congruent to ST

~From step 2, we know O is congruent to S

(Segments and angles are congruent if and only if they have equal measures.)

However, side-angle congruence is not a valid reason for claiming that two triangles are congruent, so Alycia's reason is inappropriate.

Alycia used a criterion that does not guarantee congruence.

Simplify 2(5*)

What is the answer

Answers

Answer:

the answer is 10 multiply maybe

Which sequence of transformation can be used to map parallelogram K l m n onto parallelogram k l m n

Answers

Answer:

I need to see it first please

My salary is £28,860 per year. What is my hourly rate of pay if I work 37 hours a week

Answers

Answer:

pay rate £7.80

Step-by-step explanation:

28860 divide by 37 = 780

780 divided by 100 = 7.80

HELP HELP HELP HELP HELP HELP HELP HELP HELP HELP HELP

what pattern can be seen on the graph?

Answers

Answer:

Lanier Lanier mean a stright line

a straight one.........................................................


The number of registered vehicles on the road in a country is constantly increasing. In 2009, there were approximately 220 million registered vehicles. This represents a
2% increase over 2002. How many registered vehicles were there in the country in 2002?

Answers

Answer:

10000

Step-by-step explanation:

A jury pool consists of 35 people, 17 men and 18 women. Compute the probability that a randomly selected jury of 12 people is all male.

Answers

Answer:

17/35

Step-by-step explanation:

Prob.

=DC/SS(desired chance/sample space)

=17/35

Given any two functions f and g, which of the following statements is always true? (1 point)
O If z is in the domain of f. then must be in the domain of f - g.
Olf 2 is in the domain of f and 22 is in the domain of g, then the product, 222, must be in the domain of fg.
O If ac is in the domain of f + g. then I must be in the domain of f and 2 must be in the domain of 9
O fa is not in the domain of then a is not in the domain of g

Answers

Answer:

cccccc

Step-by-step explanation:

Given two functions f and g, we want to see which statement is always true.

The only true statement is the third one:

"If a is in the domain of f + g. then I must be in the domain of f and it must be in the domain of g"

So what we can do, is try to find counterexamples for the given statements, if we can't, then the statements are true.

Note that the statements are really badly written, so I will complete them in a way that makes sense.

a) "If z is in the domain of f. then must be in the domain of f - g"

False, if z is not in the domain of g, then we can't define:

(f - g)(z)

This would happen if:

g = 1/(x - z)

b) "lf 2 is in the domain of f and 22 is in the domain of g, then the product, 222, must be in the domain of fg"

False, lets replace:

2  = z

22 = k

And let's say that:

f(x) = 1/(x - z*k)

g(x) = x

Then we have:

f*g(x) = x/(x - z*k)

Clearly, z*k (or 222 as you wrote it) is not on the domain.

c) "If a is in the domain of f + g. then I must be in the domain of f and it must be in the domain of g"

True, it only can be on the domain of the sum of the two functions if it belongs to the domain of each one.

d) "if a is not in the domain of (f + g) then a is not in the domain of g"

This is false, because a could be in the domain of g and not be in the domain of f.

Then the only true statement is the third one.

If you want to learn more, you can read:

https://brainly.com/question/4411112

PLEASE HELP MEAN A LOT I WILL GIVE BRAINLIEST

Answers

Answer:

Kim should'nt have put 2 because y would be bigger than 2

by-step explanation:

please i need your help!

Answers

Answer:

$104,912.76

Step-by-step explanation:

You will need to pay $603.92 every month for 30 years to payoff the debt.

Monthly Payment$603.92

Time to Pay Clear30.00 years

Total of 360 Payments$217,412.76

Total Interest$104,912.76

(Credits to ElectricPavlov)

Plzzz helps me for once!!! Graph y= -x/3 - 3/2.

Answers

Answer:

go to desmos it is a online graphing calculator

Step-by-step explanation:

What is 29 to the power of x to the power of 15

Answers

Answer:

29 to the power of 15x

Step-by-step explanation:

Rules of exponents:

Multiply exponents.

15*x=15x

Therefore 29 to the power of 15x

3. Peri earned $27 for walking her neighbor's dog 3 times. If pe the same rate and earned $36, how many times did she wall neighbor's dog? Use a unit rate to find the unknown value. 27 36 3 time​

Answers

Answer:

She walked neighbor's dog 4 times.

Step-by-step explanation:

It is given that:

Peri earned $27 for walking the dogs 3 times.

Unit rate = [tex]\frac{27}{3}[/tex]

Unit rate = $9 per dog

Now,

Peri worked at the same rate and earned $36.

Unit rate = [tex]\frac{Total\ earning}{Dogs\ walked}[/tex]

[tex]9 = \frac{36}{d}[/tex]

d= 36/9

d = 4

Therefore,

She walked neighbor's dog 4 times.

A bicycle was reduced by 20%. The reduced price was £100. What was the original price?

Answers

Answer:

£125

Step-by-step explanation:

Let the original price be x

Reduction = 20%

Price after reduction = (100 - 20)% = 80%

80% of x = £ 100

[tex]\frac{80}{100}x = 100\\\\x=100*\frac{100}{80}\\\\[/tex]

x = 125

Original price = £125

Tina ate 21 starbursts. If she ate 35% of the package of Starbursts, how many Starbursts are in the package?
Show your work

Answers

Answer:

60 starbursts

Step-by-step explanation:

We can set up an equation to find the answer. 21/x=0.35/1 because we're trying to find how many starbursts make up 100% of the package. So then to solve, we take 21x1 and then divide that by 0.35. From this we find that x=60.

In a right triangle, a and b are the
lengths of the legs and c is the length of
the hypotenuse. If a = 32 centimeters
and c = 40 centimeters, what is b? If
necessary, round your answer to the
nearest tenth.

Answers

Answer:

[tex]b=24\ cm[/tex]

Step-by-step explanation:

Right Triangles

In a right triangle, the relationship between the hypotenuse and the two legs is known as the Pythagora's theorem. If c is the hypotenuse and a and b are the legs, then:

[tex]c^2=a^2+b^2[/tex]

Solving for b:

[tex]b=\sqrt{c^2-a^2}[/tex]

We are given the values c=40 cm, a=32 cm. Calculating b:

[tex]b=\sqrt{40^2-32^2}[/tex]

[tex]b=\sqrt{1600-1024}=\sqrt{576}[/tex]

[tex]\boxed{b=24\ cm}[/tex]

Use the graph below to determine the number of solutions the system has. 2x = 2y - 6 and y = x - 2

Answers

Answer:

It has no (0) solutions.

Step-by-step explanation:

If you graph the lines, they are parallel, therefore there is no number where they connect.

Jermaine is saving $60 per week for a new guitar. The amount he has saved, s, is represented by
the function S = 60w, where w is the number of weeks he has been saving. Which is a true
statement?
A The number of weeks Jermaine saved depends on the amount he saves each week.
B The cost of the guitar depends on the amount Jermaine saves each week.
C The amount of money saved depends on the cost of the guitar.
D The amount of money saved depends on the number of weeks Jermaine has saved.
Option' A
Option B
Option C
Option D

Answers

Answer:

D

Step-by-step explanation:

Complete the table for the given rule.
Rule: y=2x

Answers

Answer:

x              y

9             18

5             10

1              2

Step-by-step explanation:

Please let me know if you want me to add an explanation as to why this is the answer. I can definitely do that, I just wouldn’t want to write it if you don’t want me to :)

Answer:

The first column is 5 and the second will be 18 and 2 .

Step-by-step explanation:

You only have to substitute the values into the equation :

let x = 9,

y = 2(9)

y = 18

let y = 10,

10 = 2(x)

x = 5

let x = 1,

y = 2(1)

y = 2

Please answer the attached question with explaination

Answers

Answer:

larpeiohgan a hag saasa:

Answer:

4 leaps

Step-by-step explanation:

(1 - aⁿ) / (1 - a) = 300 / 160 = 15/8     a = 1/2

(1 - (1/2)ⁿ) / (1 - 1/2) = 15/8

1 - (1/2)ⁿ = 15/16

(1/2)ⁿ = 1/16

n = 4

check: 1st leap: 160

2nd leap: 80

3rd leap: 40

4th leap: 20

160+80+40+20 = 300

Please answer this correctly without making mistakes

Answers

Answer:

32

Step-by-step explanation:

18 - (-14) = 18 + 14 = 32

You can also just count the squares between them.

Simplify this expression

√108

Answers

Answer:

6√3

Step-by-step explanation:

Donald bought a box of golf balls for $9.20. There were 18 golf balls in the box.

About how much did each golf ball cost? Rename the decimal dividend as a whole number that is compatible with the divisor to estimate the quotient.

Answers

Answer:

$1.95 each

Step-by-step explanation:

18 div 9.20 = 1.95

Simplify (3x^2+5x) + (6x-6x^2+2)

Answers

Answer:

-3x^2+11x+2

Step-by-step explanation:

hope this helps!

pls help ty will mark brainiest

Answers

Answer:

No, because 60 degrees is not valid to do so

Step-by-step explanation:

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