Two parallel paths 27m apart run east-west through the woods. Brooke jogs east on one path at 6 km/h, while Jamail walks west on the other path at 7 km/h. If they pass each other at time t=0 , how far apart are they 7 s later, and how fast is the distance between them changing at that moment?

Answers

Answer 1

To determine how fast the distance between them is changing at that moment, we can calculate the relative velocity.

Brooke and Jamail are moving in opposite directions, so their speeds are added together. Their combined speed is 6 km/h + 7 km/h = 13 km/h.

In 7 seconds, they will travel a distance of 13 km/h * 7 s / 3600 s/h = 0.27 m.

The distance between them will be 27 m - 0.27 m = 26.73 m.

The rate at which the distance between them is changing is 13 km/h = 13000 m/h = 42.4 m/s.

Therefore, the distance between Brooke and Jamail is 26.73 m after 7 seconds, and the distance between them is changing at a rate of 42.4 m/s.

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Related Questions

d) A bag contains 6 black and 4 white marbles. A marble is drawn at random from
the bag and it is replaced to draw another marble. By using a tree diagram, find the
probability of getting
(i) both of them of the same colour.
(ii) Both of them of the different colours.
Please help!​

Answers

Answer:  (i) 13/25 = 52%           (i) 12/25 = 48%

Step-by-step explanation:

Notes:

"and" means multiply"or" means add

(i) If they are both the same color, then you draw a

Black Marble and Black Marble       or     White Marble and White Marble

(6 black/10 total) x (6 black/10 total) + (4 white/10 total) x (4 white/10 total)

=                      36/100                        +                    16/100

= 52/100 (52%)

= 13/25

(ii) If they are different colors, then you draw a

Black Marble and White Marble    or       White Marble and Black Marble

(6 black/10 total) x (4 black/10 total) + (4 white/10 total) x (5 white/10 total)

=                      24/100                        +                    24/100

= 48/100 (48%)

= 12/25

see Tree Diagram below

PLEASE HELP! WILL MARK BRAINLIEST!

Answers

Answer:

i do think the answer is 40

Step-by-step explanation:

83-43=40

Answer:

A. <CBE=40

Step-by-step explanation:

Since you know the measure of  <EBA=83 and the measure of <CBA=43 you simply subtract the measure of <EBA by the measure of <CBA to get the measure of CBE. Meaning you do 83-43=40

In the figure, the shaded region is formed by removing a circle of centre P and radius 5 cm
from a semi-circle of centre O. Find the radius of the semi-circle.​

Answers

___________________

[tex]\large\boxed{\fcolorbox{red}{aqua}{Radius~of~semi~circle~=~10cm}}[/tex]

[tex]\large\underline\mathrm\purple{Diameter~is~20cm}[/tex]

If x2 = 10, what is the value of x? (5 points)
Oa
Ob
INTO
+ /20
Ос
+5
O d
+20​

Answers

Answer:

x = 5

Step-by-step explanation:

x2 means that we are multiplying a number to get 10, therefore you divide 10 and 2 which is 5.

You can check your answer by replacing the 5 and then it would be 5 times 2 which equals 10 hope that helps

Examine the steps shown for testing whether or not x=1 is a zero for the function f(x)=x^3-3x+2. Identify the first line in which an error occurred.

Answers

Answer:

the answer is line 2

explanation:

1x1=1 not 2

The error for this synthetic division is at line 2 the multiplication of 1 × 1 is written as 2.

What is multiplication?

Multiplication is the general procedure in mathematics in which we multiply two or more numbers to each other to find a new multiplied number.

Multiplication gives us a resultant number that will be very big as compared to the number which is going to be multiplied if and only if the number which is going to be multiplied is more than one.

In the given synthetic division,

The first letter in line 2 is 1 which comes through the multiplication of 1(Main divider) × 1(First latter in line3).

Now

The second letter of line 2 will be 1(main divider) × 1(the Second latter of line 3)

⇒ 1 × 1 = 1 but there are 2 written which is wrong.

So multiplication is incorrect here.

Hence "The error for this synthetic division is at line 2 the multiplication of 1 × 1 is written as 2".

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1. Four more than a number.
er bronto tngitoup et .I

Answers

X + 4
Easy math lol

20 + 10x + 1 + 2x + x i will mark brianliest

Answers

Answer:

13x+21

Step-by-step explanation:

20+10x+1+2x+x

Combine like terms.

10x+2x+x+20+1

add.

13x+21

we cannot add those two.

so thats the answer!

13x+21

HOPE I HELPED

PLS MARK BRAINLIEST  

DESPERATELY TRYING TO LEVEL UP

✌ -ZYLYNN JADE ARDENNE

JUST A RANDOM GIRL WANTING TO HELP PEOPLE!

                PEACE!

Suppose there are 20 people in a room and the mean amount of cash held by these 20 people is $14.50 per person. If two people enter the room carrying $4.00 and $5.00 respectively, what does the mean amount of cash in the room become? Give your answer in dollars and cents; that is, precise to two decimal places.

Answers

Answer:

13.59

Step-by-step explanation:

The calculation of amount of cash in the room is shown below:-

[tex]\$14.50 = \frac{\Sigma xi}{20}[/tex]

= 20 × $14.50

= $290

Now, the new sum is

= ∑xi + $4.00 + $5.00

= $290 + $4.00 + $5.00

= $299

Total person in the room is

= 20 + 2

= 22

So,

Mean amount of cash in the room = New sum ÷ Total person in the room

= $299 ÷ 22

= 13.59

The length of a spring varies directly with the mass of an object that is attached to it. When a 30-gram object is
attached the spring stretches 9 centimeters. Which equation relates the mass of the object, m, and the length of the
spring, s?
3
O S =
m
m
3
S
10
m= S
3L

Answers

Answer:

Step-by-step explanation:

s = 3/10 m

hope this helps!

help maybe , please ??

Answers

Step-by-step explanation:

x + 53 = 90

x = 37

answer is 37

For questions like this right angles equal 90° and straight angles equal 180°.

For this one you would do 90° - 53° = 37°

Hope this helped!

Help Please‼️ Find The Measure Of The Missing Angle In The Triangle.

Answers

Answer:

50 deg

Step-by-step explanation:

180-80-50=x

180-80=100

100=50=50

x=50

Answer:

x+80+50=180(being the sum of angles in triangle)

x+130=180

x=180-130

x=50

What is 5 5/7 × 3 1/5 ?

Answers

Answer:

128/7 or 18 2/7

Step-by-step explanation:

the decimal answer is 18.28571428... so if you round it, it is 18.3

Answer:

128/7 then you look up on google how to simplify it but you can really put 128/7 instead let me know if it works :)

y=3x+2 and x+2y=11 how do you solve these linear equations by using substitution

Answers

Plug in y=3x+2 into the y in the second equation.

x + 2(3x+2) = 11
x + 6x + 4 = 11
7x + 4 = 11
7x = 7
x = 1

then, plug the x value into x in the first equation.

y = 3(1) + 2
y = 3 +2
y = 5

help please :( !! i don’t understand:/

Answers

Answer:

0.88

Step-by-step explanation:

First of all look how big the 3 is. X is smaller 2 would have been bigger so I believe its 0.88

Suppose Austin's neighborhood garden has an area of 375 square feet. If the length of the
garden is 25 feet, what is the width of the garden?
Hint
A 10 feet
B 13 feet
с
15 feet
D 18 feet

Answers

25ft times 15ft = 375 sqr ft

How do you solve this?

Answers

The equation is equivalent to D

The equation is equivalent to D

Max is putting together goody bags for a party. He has 24 chocolate candies and 40 pieces of licorice. He wants all the bags to be exactly the same. How many bags can he make?

Answers

8 bags, 3 chocolate and 5 licorice in each
he can make 8 bags. each bag would have 3 chocolate candies and 5 pieces of licorice!

Solve for x 11x + 13 13x - 1

Answers

Answer:

x=7

Step-by-step explanation:

11x+13=13x-1

13=2x-1

14=2x

7=x

Zatra is scuba diving 77 meters below the surface of the water After explorng a few minutes, she ascends (goes up) 45 meters to get closer to a shark. What is her new elevation?​

Answers

Answer:

New elevation = 122 meter below

Step-by-step explanation:

Given:

Current status = 77 meter below

Additional dive = 45 meter

Find:

New elevation

​Computation:

New elevation = Current status + Additional dive

New elevation = 77 + 45

New elevation = 122 meter below

Given tha sin=3/5and 0°
sectheta

Answers

Answer:

5/3

Step-by-step explanation:

sectheta = 1/sintheta

1÷O/H=H/0

= 5/3

Pls mark as brainliest.

The Toy Car
You roll a toy car down a slanted board to see how far it travels. You change the angle of the board and roll the car again. You do this several times at several different angles.
On average how many more centimeters did the car travel each time the ramp was raised 10 degrees?

Answers

Answer:

sorry bro if I do it wrong but it will go different way every time

How do you find vertical angles and linear pairs on intersecting lines

Answers

Answer:

Remember:

Parallel lines never meet

Vertical lines make "V's"

Perpendicular Lines form 90 degrees

Step-by-step explanation:

3 to the power of -2

Answers

Answer:

1/9

Step-by-step explanation:

If it’s a negative exponents you just use the reciprocal and multiply that by the power. In this case its, 1/3(1/3)=1/9

1/9

No negative signs since it’s multiplying by the reciprocal to the power

What is the answer for this question

Answers

I believe the answer is irrational

which repersents the nth term of the sequence {2,-1,-4,-7,...}

Answers

Answer:

the general Question

which repersents the nth term of the sequence {2,-1,-4,-7,...}formula for the nth term in an arithmetic sequence is: an = a0 + d(n-1) where a0 is the first term, n is nth, d is the difference for our problem a0 is -2, d is 3

Step-by-step explanation:

helloineedmppiontsthe general formula for the nth term in an arithmetic sequence is: an = a0 + d(n-1) where a0 is the first term, n is nth, d is the difference for our problem a0 is -2, d is 3

Please answer the circled questions below!

Answers

Answer:

Step-by-step explanation:

1. The y-values in the table are constant, so the slope is 0. It is a horizontal line.

There is no x-intercept.

The y-intercept is (0, 1).

__

For lines in standard form, the intercepts can be found easily. The x-intercept is the value of x when y=0:

  ax +0 = c

  x = c/a . . . . x-intercept

Similarly, the y-intercept is the value of y when x=0:

  0 +by = c

  y = c/b

__

3. x-intercept = (-20/2, 0) = (-10, 0)

  y-intercept = (0, -20/-5) = (0, 4)

__

4. x-intercept = (-6/1, 0) = (-6, 0)

  y-intercept = (0, -6/-3) = (0, 2)

Plot these points and draw a line through them.

w2-4w=0 pleaseee Yelp

Answers

Answer:

w=0 or w=4

Step-by-step explanation:

Step 1: Factor left side of the equation.

w(w−4)=0

Step 2: Set factors equal to 0.

w=0 or w−4=0

w=0 or w=4

Please help ASAP I’m very confused

Answers

Answer:

Step-by-step explanation:

This is the second to last question I have to do

Answers

Answer:

aunt clares cup of tea was darker because the extra milk in megs made it lighter than aunt clares

Step-by-step explanation:

ATOY has coordinates T(-3,4), O (-4,1), and Y (-2,3). A translation maps point T
to T'(-1, 1). Find the coordinates of O' and Y' under this translation. (6 points)
O O' (-2,-2); Y' (0, 0)
O O'(-1, -1); Y' (1, 1)
O O'(0, 0); Y' (-2,-2)
O O' (1, 1); Y' (-1,0)

SOLVE THIS ASAP!!

Answers

Answer:

Step-by-step explanation:

It’s the first one

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