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

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Step-by-step explanation:

[tex]6(y + 1) > 6 \\ 6y + 6 > 6 \\ 6y > 0 \\ y > 0[/tex]

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Range:
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Hyperbola: y = 1/x

--------------------------------

Shape: open curve with two branches

Domain: Any non-zero real number x < 0, x > 0 or x∈ (-∞, 0) ∪ (0, +∞)

Range: Any non-zero real number y < 0, y > 0 or y∈ (-∞, 0) ∪ (0, +∞)

Locater point: Imaginary point of intersection of asymptotes (0, 0)

Asymptotes: x = 0 and y = 0

11. Find the slope of a line which passes through the points (3,4) and (8,-1).
a. -1
b. 1
c. ⅗
d. 5/3​

Answers

Answer:

A

Step-by-step explanation:

Slope = (change in y)/ (change in x)

          = (-1 - 4)/ (8 - 3)

          = -5/5

          = -1

HELP ME SOLVE THIS PLSS

Answers

no solution,

48x+43=47x+43

     -43         -43

48x=47x

if x= 1

48 is not equal to 1

B

Answer:

B

Step-by-step explanation:

It's impossible to let these 2 equation have same answer!

quotient of 820 and 0.10=

Answers

Answer:

The quotient of 820 and 0.10 is 8200

quotient of 820 and 0.10= 8200

Select the correct answer.
What is the equation of the line that has a slope of 1 and passes through the point (1,5)?
Y - 1 = (x + 5)y - 1 = (x + 5)
y - 5 = (x - 1)y - 5 = (x - 1)
y + 1 = (20 – 5)y + 1 = (x - 5)
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Please I need answer ASAP!! I’ll make you brainliest!!

Answers

Answer:b

Step-by-step explanation:

7. A fundraising group charges $0.25 per cookie and has a daily expense of $18. Which of the
following describes the steps that need to be taken, in order to calculate the daily profit,
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Answers

Answer:

Look below

Step-by-step explanation:

To answer the question, you have to find out how much 49 sold cookies amounts to, so multiply 49 by however much it is per cookie.

Then, subtract the daily expense, $18, by the number you got from the total amount earned from the cookies sold, and that number would show the daily profit earned by selling 49 cookies.

Hope this helps :)

Given matrices A and B shown below, find (−4)A+(−9)B.

Answers

see the answer in the attached picture.

A class of 40 students took a test 20 students had an average score of 65. the other students had an average score of 52. what is the average score of the whole class?

At a health club, 28% of the members are men, the rest are women. If the average man is 33 years old, and the average woman is 38 years old, what is the average age of all the members?​

Answers

Answer:

One: 58.5

Two 36.6

Step-by-step explanation:

One

20 students * 65 = 1300 This is the total score of all 20 students. They may not all get 65, but 1300 is what their average total is.

20 students * 52 = 1040

The total score of all 40 students was 1300 + 1040 = 2340

The average for the entire class was 2340 / 40 = 58.5

Two

This question is done almost the same way.

Supposes the total number of members is 100. That means that 28 of them are men

28 * 33 = 924     This is the total age for the men

100 - 28 = 72        Out of 100, 72 of the people there are women.

72 * 38 = 2736

The total number of years of all of the members is

924 + 2736 = 3660      

The average age of all members is 3660/100 = 36.6

Why did I pick 100 as the total membership? It is because a percentage is number out of 100. Am I allowed to invent things like that? Sure. I'm just using the definition of a percentage.

The average will make it come out the same.

Members of a softball team raised $1319.25 to go to a tournament. They rented a bus
for $776.50 and budgeted $41.75 per player for meals. Write and solve an equation
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Answers

Answer:

13 players

Step-by-step explanation:

Money Raised=RentedBus+Meals

1319.25=776.50+41.75p (p is for the number of players)(Now we solve for x)

Subtract 776.50 from both sides:   542.75=41.75x

Divide both sides by 41.75:   13=x

Remember that x is for the number of players so there'll be 13 players going to the tournament.

Answer:

1319.25=776.50+41.75p

13 players

Step-by-step explanation:

please help !!! thank you :)

Answers

Answer:

12

Step-by-step explanation:

2 ( - 2x + 6 )

= 2 ( - 2x ) + 2 ( 6 )

= - 4x + 12

ASAP Lots of points!! 100 points!! Which expression is equivalent to 2^4 ⋅ 2^−7?
(Remember 2 to the power of 4 x 2 to the power of -7 = 0.125)
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Answers

Answer:

the answer for this is:

subtract 7 from 4 to get -3

you then have 2^-3

remove the negative exponent by rewriting as 1/(2^3)

Step-by-step explanation:

Lucy brought 4 of her scarves to a secondhand store to sell. She was paid the same amount
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She had $7.50 remaining. What was the value of each scarf?

Answers

The value of each scarf from the sales will be $4.50.

Since Lucy spent $10.50 of her earnings on a used sweater and she had $7.50 remaining, the total amount that she made from the sales will be:

= $10.50 + $7.50

= $18.00

Since she sold 4 scarves, the cost of each scarf will be:

= $18.00 / 4

= $4.50

Therefore, the value of each scarf will be $4.50.

Read related link on:

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And this is not the only question I got to get five right so if you get the question right wait until I make another question please and thank you

Answers

9514 1404 393

Answer:

  A rotation 90° CW followed by translation right 5 units.

Step-by-step explanation:

It is easier to choose the right composition of transformations if we know what your choices are.

Figure F has an orientation that is 90° CW from that of figure E, so a 90° CW or 270° CCW rotation could be one of the transformations.

Rotation about the origin will move the figure so that the acute angle is in a different quadrant. In order to return it to the same quadrant a translation is required. The amount of translation will depend on whether it comes before or after the rotation.

Possible sequence of motions are ...

A rotation 90° CW followed by translation right 5 unitsTranslation up 5 units followed by rotation 90° CW

What’s the LCM of 9 and 6

Answers

Answer:18

Step-by-step explanation:

6 : 6,12,18

9: 9,18

Hi there!  

»»————- ★ ————-««

I believe your answer is:  

LCM (9,6): 18

»»————- ★ ————-««  

Here’s why:  

⸻⸻⸻⸻

[tex]\text{Multiples of 6: }6,12,\textbf{18},24\\\\\text{Multiples of 9: } 9,\textbf{18}, 27, 36\\\\\\\text{Since 18 is the first common multiple that appears, it is the LCM.}[/tex]

⸻⸻⸻⸻

»»————- ★ ————-««  

Hope this helps you. I apologize if it’s incorrect.  

Plz help me

Determine whether the following sets form subspaces of R^3:

(a) {(x1,x2,x3)^T |x1+x3=1}

(b) {(x1,x2,x3)^T |x1=x2=x3}

Answers

Answer:

a.

Step-by-step explanation:

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Enter your answer as a fraction in simplest form in the box.

x =

Answers

Answer:

x=3/4

Step-by-step explanation:

Answer:

X= 3/4

Step-by-step explanation:

Distribute

Combine like terms

Add 2 to both sides of the equation

Simplify

Divide both side s of the equation by the same turm

Simplify

A company makes pens. They sell each pen for $9. Their revenue is represented by R = 9 x. The cost to make the pens is $3 each with a one time start up cost of $6500. Their cost is represented by C = 3 x + 6500. a) Find the profit, P, (P = R - C) when the company sells 1000 pens. 15500 0-500 O 9000 0-3500 0-9000​

Answers

Answer:

-$500

Step-by-step explanation:

C = 3(1000) + 6500

C = 3000 + 6500

C = 9500

R = 9(1000)

R = 9000

P = 9000 - 9500

P = -500

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Answers

Answer:

7.5 < 7.5061 < 7.56 < 9.213

Step-by-step explanation:

1.Which of the following is equivalent to 0.00451


Second question. Which of the following is equivalent to 6.32 x 10-*3?

Answers

Answer:

1)[tex]4.51[/tex]×[tex]10^-3[/tex]

2) .00632

Step-by-step explanation:

1.Which of the following is equivalent to 0.00451?

= [tex]\frac{451}{100000}[/tex]

=[tex]\frac{4.51}{1000}[/tex]

=[tex]\frac{4.51}{10^3}[/tex]

= [tex]4.51[/tex]×[tex]10^-3[/tex]

Therefore the answer is (a)

===================================================================

Which of the following is equivalent to 6.32 x 10-*3?

In order to find the answer to this question you can just put the notation into standard form which means they will be equivalent to each other.

The exponent is negative so you move to the left:

[tex]6.32=.00632[/tex]

=[tex].00632[/tex]

Therefore 6.32*10^-3 is equivalent too (c) .00632

Please help me 4⅗ ÷ ⅕ =

Answers

Answer:

23

Step-by-step explanation:

just used a calculator

23

Let’s start by making the mixed number an improper fraction. To do this you multiply the whole number by the denominator and add the numerator.

4 x 5 + 3 = 23

No we have 23/5 divided by 1/5

We have common denominators but you don’t need them for multiplying and dividing fractions. To discuss fractions you just go across, but there’s a thing. You have to flip the second fraction then you can multiply instead of divide.

So

23/5 x 5/1

23 x 5 = 115

5 x 1 = 5

115/5

This can be simplified to 23 because 5 divided by 115 is 23.

Hope this helps

3d + 5 where d=3 show work

Answers

Answer:

•Equation => 3d + 5

d = 3

3 x 3 + 5

9 + 5

14 = Answer

Hope it's helpful

Answer:

3d+5=9+5=14

Step-by-step explanation:

3(d)=3*3=9

D=3

+5=14, answer is 14

brainest?

Calculator
What are the coordinates of the midpoint of CD where C(2,
6) and D(4, 10)?
O (3, 2)
0 (2, 3)
0 (3, – 8)
0 (-1, 2)
1
2
OCT
20
tv

Answers

Answer:

O (3, 2)

Step-by-step explanation:

use the vectors method

(2+4)/2. (-6+10)/2

(3, 2)

what is the value of p(x)=4x+15 ?

Answers

Answer:

The answer is 10x

Step-by-step explanation:

What is the value of W?

Answers

951 4 1404 393

Answer:

  w = 17

Step-by-step explanation:

Altitude SU of isosceles triangle RST bisects base RT. This means ...

  UR = UT

  5w = w+68

  4w = 68 . . . . . subtract w

  w = 17 . . . . . . divide by 4

Which of the following is the correct expansion of (x + 3)(x + 4)?

Answers

Answer:

(x + 3)(x + 4)

x(x+4)+3(x+4)

[tex] {x}^{2} + 4x + 3x + 12[/tex]

[tex] {x}^{2} + 7x + 12[/tex]

Answer:

It's x2 + 7x + 12 by added the two X at the start then added 3 + 4 to get 7 then 3×4 to get 12

Are constants like terms

Answers

Step-by-step explanation:

yes , all constant are like terms.

The value of A is -6. The difference between A and C is 6. Type all possible values of C.

Answers

Answer:

-12, 0

Step-by-step explanation:

A= -6

If A-C = 6 then, A-6=C

-6-6 =C

C= -12

or C-A =6

C=A+6

C= -6+6

C=0

"The quotient of five less than a number and 6, is -4."

Answers

Answer:

The number is 20

Step-by-step explanation:

x represents the missing number

The equation would be:

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Then isolate the variable and solve,

First multiply both sides by 6...

[tex]x-5=-25[/tex]

Add 5 to both sides.

x=20

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