Two particles are projected simultaneously towards each other from opposite ends of a straight horizontal tube. One particle travels 97 cm in the 1st 2 seconds, 93 cm in next 2 seconds , 89 cm in another next 2 seconds, etc. The other particle travels 49 cm in the 1st 2 seconds, 47 cm in the next 2 seconds , 45 cm in another next 2 seconds, etc. Find how long it takes for the particles to meet and hence, determine the distances travelled by each particle.

Answers

Answer 1

This shows that it will take the particle 23 secs to meet.

The distance travelled by each particle is 50cm

If two particles are projected simultaneously towards each other from opposite ends of a straight horizontal tube,

The first particle distances are 97cm, 93cm, 89cm... every 2secs

This form an arithmetic sequence and the nth term is expressed as:

Tn = a  + (n - 1)d

a is the first term = 97

d is the common difference = 4

Substitute

Tn = 97+(n - 1)(4)

Tn = 97 + 4n -4

Tn  = 4n  + 93

Similarly for the distances 49 cm, 47 cm, 45cm .....

This also forms an arithmetic sequence and the nth term is expressed as:

Tn = a  + (n - 1)d

a is the first term = 49

d is the common difference = 2

Substitute

Tn = 49+(n - 1)(2)

Tn = 49 + 2n -2

Tn  = 2n  + 47

For the particles to meet, this means that 4n  + 93 = 2n + 47

4n - 2n = 47 - 93

2n = -46

n = -23

This shows that it will take the particle 23 secs to meet.

To get the distance travelled by each particle

Tn  = 4n  + 93

T2 = 4(2) + 93

T2 = 101

For the other sequence;

Tn  = 2n  + 47

T2  = 2(2)  + 47

T2 = 51

Taking the difference;

D = 101 - 51 = 50cm

Hence the distance travelled by each particle is 50cm

Learn more here: https://brainly.com/question/13989292


Related Questions

help me answrr the 4th question please

Answers

Step-by-step explanation:

gcvnjgcnhkk xdhvchjjudvhtuk xecn9

Urgent Help Please!!!

Answers

Answer:

the x = 50 degrees, just because the sum of the angles of the triangle = 180 degrees, then the ABD triangle = 50 + 78+52 = 180, also the line AC will have 180 degrees, so the sum 78 + 102 = 180, and the BCD triangle is 102+ 50+28 = 180 and the ABC triangle also is 50+102+28=180

What’s a reasonable domain for V(x)=x(11-2x)(17-2x)

Answers

Answer:

(-∞ , ∞)  -∞ < x < ∞

Step-by-step explanation:

function has no domain constraint

The domain of the expression is all real numbers except where the expression is undefined.

The given function is v(x)=x(11-2x)(17-2x).

What is domain and range of the function?

The B and range are defined for a relation and they are the sets of all the x-coordinates and all the y-coordinates of ordered pairs respectively. For example, if the relation is, R = {(1, 2), (2, 2), (3, 3), (4, 3)}, then:

Domain = the set of all x-coordinates = {1, 2, 3, 4}

Range = the set of all y-coordinates = {2, 3}

The domain of the expression is all real numbers except where the expression is undefined. In this case, there is no real number that makes the expression undefined.

Interval Notation:(−∞,∞)

Set-Builder Notation:{x| x∈ R}

Therefore, the domain of the expression is all real numbers except where the expression is undefined.

To learn more about the domain and range visit:

brainly.com/question/28135761.

#SPJ2

What is the ratio of vowels to consonants?

MATHEMATICS​

Answers

Answer:

3 to 10

Step-by-step explanation:

Vowels are a, e, i, o, u,  sometimes y

Vowels + consonant = Total letters

6 + consonant  =  26

vowels to consonants = 6 to 20 = 3 to 10

What is 906 times 45

Answers

Answer:

40770

........................

Answer:

40,770

Step-by-step explanation:

can someone help me with this it’s due!!!

Answers

Answer:

10 feet tall

Step-by-step explanation:

(Triangle problem was answered in a previous question)

So like before, we have a ratio: 1.5inches:2.5feet

We have a starting value as well: 6 inches

All we have to do is convert from inches to feet (not with a real life equation, but with the given equation)

To begin, dvide 6 by 1.5

6inches/1.5inches = 4 (The units canceled out during division)

Not multiply by the ratio:

4 * 2.5feet = 10 feet (It takes the units in feet)

Therefore, the tree is actually 10 feet tall.

Watch help video
Members of a lacrosse team raised $1431.75 to go to a tournament. They rented a bus
for $1051.50 and budgeted $29.25 per player for meals. Write and solve an equation
which can be used to determine p, the number of players the team can bring to the
tournament.
Equation:
Answer: p =
Submit Answer
attempt 1 out of 2

Answers

Step-by-step explanation:

p = (1431.75 - 1051.50)/29.25

p = 13

What is 91835 rounded to the nearest Highest Place

Answers

Answer:

90,000

Step-by-step explanation:

est 100:
337
55,745
SS
t 1,000:

Answers

Answer:

Is this a question??

Step-by-step explanation:

PLEASE HELP ITS MATH THANK YOUUUU

Answers

Answer:

8 millimeters 4x where x is 2 millimeters

good luck homie you got this

Choose the pythagorian triplet with the smallest number as 10.

a) 24, 26, 10
b) 10, 6, 8
c) 10, 16, 18
d) 10, 18, 20​

Answers

Answer:

b

Step-by-step explanation:

pls give brainliest hope helpful

URGENT HELP I NEED THE ANSWERS TO THIS WORKSHEET

Answers

Answer:

As follows,

Step-by-step explanation:

The sum of the angles of any triangle is 180.

∠U=69

∠D=42

∠E=35

∠F=35

∠G=55

∠H=45

∠I=45

∠J=15

∠M=120

∠K=15

∠L=75

∠Q=55

∠R=55

∠S=42

∠T=42

∠P=21

∠O=69

∠N=21

∠A=60

∠B=60

∠C=60

When twelve is added to eight times a number, the result is one hundred and fifty. Find the
number.

Answers

Adding twelve eight times is the same as 12 x 8 which is 96

x + 96 = 150

To find 150, subtract 96 from both sides

x = 150 - 96
x = 54

Please help- Precalculus

Answers

Step-by-step explanation:

(a) f (g (- 5)

→ f (-5)g

= - 5fg

(b) (g o f ) (4)

Move 4 left to the g o f

= 4gof

Answer:-5fg, and 20g

Step-by-step explanation:

I’m only in eighth grade but I’ma try

Re-order terms so constants are on the left

((−5))

(−5)

Eliminate redundant parentheses

there are none

Re-order terms so constants are on the left

-5fg

Re-order terms so constants are on the left

(5G)(4)

Eliminate redundant parentheses

5g(4)

Multiply the numbers

20g

please help!!!!!!!!!!!!!!!!!

Answers

The answer is 0.06!!!

Aman bought a computer for 24000 and its accessories pack worth for 1750. He sold it all for *26780. Find his gain and gain per cent.​

Answers

Answer:

4%

Step-by-step explanation:

Gain percentage = 1030/25750 x 100 = 4%

Answer:

$1,030, 4%

Step-by-step explanation:

Aman spent $25,750 on a computer and accessory packs (totally worth it). He sold it for $26,780. So let's say Aman is at 0 before he bought this. He spent $25,750, so we subtract that from 0 to get -25,750. Then he sells it all for $26,780 (again totally worth it for the person buying). So we add 26,780 to the total.

-25,750 + 26,780 = 1,030

So Aman made a profit of $1,030 (now he can buy a REASONABLY priced MacBook Air or something)

So to find the percentage that he gained, we divide 1,030 by his original spending price, namely 25,750

1,030/25,750 = 0.04

Convert that to percentage form, you get 4%

Also, it's questions like this that make me question whether the people who write these questions into the textbooks should be talked to lol.

Simplify this expression 5xy - x2 + 2xy + 3x2​

Answers

Answer: 5xy-x2t+2xy+3x2t Final result : x • (2xt + 7y) Step by step solution : Step 1 :Equation at the end of step 1 : ((5xy-((x2)•t))+2xy)+(3x2•t) Step 2 : Step 3 :Pulling out like terms : ...

Step-by-step explanation:

Answer:

2  [tex]x^{2}[/tex] + 7 x y

Step-by-step explanation:

What is one of the distinctions between a population parameter and a sample statis- tic? A. A sample statistic changes each time you try to measure it, but a population parameter remains xed. B. A population parameter changes each time you try to measure it, but a sample statistic remains xed across samples. C. The true value of a sample statistic can never be known but the true value of a population parameter can be known. D. A population parameter is only based on conceptual measurements, but a sam- ple statistic is based on a combination of real and conceptual measurements.

Answers

Answer:

jaiana jsijejeren8sninsun9nsuns

What is the value of x which proves that the runways are parallel? What is the measure of the larger angle?

Answers

Answer:

118°

Step-by-step explanation:

When two parallel lines are cut by a tranversal, then the exterior angles are supplimentary and the corresponding angles are congruent.

Therefore the angle above (15x - 17)° is also (5x + 17)° and the angle below (5x + 17)° is also (15x - 17)°.

Angles on a straight line adds up to 180°. So to know the measure of the larger angle we must both equations and equal it to 180° to find x in order to know the larger angle.

(5x + 17) + (15x - 17) = 180

5x + 15x + 17 - 17 = 180

20x = 180

20x/20 = 180/20

x = 9°

Nkw let's substitute x = 9 into the equations

5x + 17 =

5(9) + 17 =

= 62°

15x - 17 =

15(9) - 17 =

= 118°

Both equations should add up to be 180°.

Therefore the measure of the largest angle is 118°.

please help me with this sum​

Answers

Answer:

1. 384

2. 180

3. 324

4. 648

5. 476

6. 528

7. 294

8. 384

9. 414

10. 80

11. 72

12. 301

13. 222

14. 146

15. 156

16. 270

17. 283

18. 300

19. 292

20. 58

21. 64

22. 138

23. 296

24. 170

Hope it helps you

Please help me... it would be great!

Answers

3) 1 1/2 gallons for 3/4 of the room

Answer; 2 gallons for 4/4 of the room

4) 12 1/2 gallons drives 325 miles

Answer; 1 gallon drives 26 miles

Given y = a(x - h)^2 + k, p =
A. a
B. 4a
C. 1/4a

Answers

9514 1404 393

Answer:

  C.  1/(4a)

Step-by-step explanation:

We assume you're comparing the vertex form ...

  y = a(x -h)^2 +k

to the form used to write the equation in terms of the focal distance p.

  y = 1/(4p)(x -h)^2 +k

That comparison tells you ...

  a = 1/(4p)

  p = 1/(4a) . . . . . . multiply by p/a; matches choice C

__

Additional comment

When using plain text to write a rational expression, parentheses are needed around any denominator that has is more than a single constant or variable. The order of operations requires 1/4a to be interpreted as (1/4)a. The value of p is 1/(4a).

When rational expressions are typeset, the fraction bar serves as a grouping symbol identifying the entire denominator:

  [tex]p=\dfrac{1}{4a}[/tex]

Select the situation that have a unit rate equivalent to 3 units to 1 unit

Answers

Answer:

A gardener harvested 15 tomatoes from 5 plants

The process of squaring a number by itself twice is called​

Answers

Answer:

square root

Step-by-step explanation: i think this is right but please tell me if it is wrong

A constant head permeability test is performed on a soil that is 2 cm x 2 cm square and 2.5 cm long. The head difference applied during the test is 18 cm, and 5 cm3is collected over a time of 100 sec. a) Compute the permeability based on these test conditions and results b) A falling head test is to be done on the same soil specimen in teh same time (t1 - t2

Answers

Answer:A

Step-by-step explanation:por que se calcula correctamente

PLEASE HELP ITS MATH THANK YOUUUU

Answers

9 inches = 14 yard

Formula: divide the value in inches by 36 because 1 yard equals 36 inches. So, 9 inches = 936 = 14 or 0.25 yard.

Answer:

4 yards

Step-by-step explanation:

Use a ratio and then cross multiply

120 yd       x yd

---------  =  ---------

270 in         9 in

270x = 1080

x= 1080 / 270

x = 4 yd

Help needed. 5x+8 6x+8 and 82 ……..

Answers

Answer:

x=6

Step-by-step explanation:

a triangle is 180º total

a line is also 180º total

180-82=98

5x+8+6x+8+98=180

11x+114=180

11x=66

x=6

For a standard normal distribution, find:

P(z < 2.51) =

Answers

Answer:

P(z < 2.51) ≈ 0.994

Step-by-step explanation:

P(z < 2.51) = normalcdf(-1e99,2.51,0,1) = 0.9939634253 ≈ 0.994

PLEASE HELP WITH THIS ONE QUESTION

Answers

Answer:

11

Step-by-step explanation:

pls maerk as brainliest

Check all solutions to the equation. If there are no solutions, check "None."
1x1 = 3



Someone please help!!

Answers

Answer:

B and E

Step-by-step explanation:

Other Questions
se puede tener el aire acondicionado encendido todo el dia Which conflict came first in World War II?A) The Soviet Union and PolandB) China and JapanC) Germany and FranceD) Britain and Germany 1. What types of words show up in story titles that are related to the story's theme?multiple-meaning wordsoppositesO vague wordshard-to-spell words HELP PLEASE Simplify 14 to the fifteenth power over 14 to the fifth power. Martin Ellis sells a line of cooking pots. He is paid a salary of $1,150 a month plus a 10% commission on all sales. Last month his sales were $35,000. What were his total earnings? a$500.00 b$4,650.00 c$650.00 d$50.00 how many atoms of hydrogen are in 4Ca(OH)2 (?=4?12 ????=?(?18 which ventricles are divided by the septum pellucidum? fill in the blanks with suitable conjunctionshe is rich _____ selfishplease help asap Emmy is running a marathon to try to get a Boston qualifying time. She runs at a constant velocity of 6 mph from 7:00 am to 8:30 am.At 9:00 am, her velocity jumped to 8 mph. She completed her race at 10:30 am at a velocity of 10 mph. Calculate her accelerationfrom 9:00 am - 10:30 am. 10. Write About It Meredith describes to Liza two purchases she made."On Monday, I bought 39 books and 21 CDs for $396. On Tuesday, at thesame prices, I bought 52 books and 28 CDs for $518."Liza thought about the numbers and said, "That's impossible!" Is Lizacorrect? Assume that all books cost the same amount and all CDs costthe same amount. Explain. Which of these is known as a push or pull upon an object that results from its interaction with another object? What are viruses referred to since they dont easily fit into the category of living things? bacteria organism cell agent Which geographic features gave rise to early civilization? what is anecdote for political corruption, Please help me, thank you.I'm pretty sure I'll mark you as a brainlist. 1. Allison is a recent college graduate. She got a job as a marketing executive making $82,000 a year, and she will have to move across the country for the new job. Her moving expenses are $7500. She has also started paying back her student loans, and this year will pay back $1386 in student loan interest. What is Allison's adjusted gross income (AGI)? Help please i need to know this Find the 21st term of the arithmetic sequence an=9+3(n-4) a21= Three interesting facts about France after WW2 Bea has of a cake. If it will be divided equally among 4 persons, what part of the cake will each one gets?