Isabel is pulling water up from an old-fashioned well. She lifts the bucket of water at a rate of 4 ft/s, and after 1 s, the bucket is 1 ft below the top of the well. What is the equation in point-slope form of the line that represents the height of the bucket relative to the top of the well?

Answers

Answer 1

Answer:

The equation in point-slope form of the line that represents the height of the bucket relative to the top of the well is [tex]y + 1 = 4\cdot (t-1)[/tex].

Step-by-step explanation:

The point-slope form of the equation of the line is represented by the following expression:

[tex]y - y_{o} = m\cdot (t-t_{o})[/tex] (1)

Where:

[tex]t[/tex] - Time, measured in seconds.

[tex]y[/tex] - Height below the top of the well, measured in feet.

[tex]t_{o}[/tex], [tex]y_{o}[/tex] - Known information of the well, measured in seconds and feet, respectively.

[tex]m[/tex] - Slope, measured in feet per second.

If we know that [tex](t_{o},y_{o}) = \left( 1\,s, -1\,ft\right)[/tex] and [tex]m = 4\,\frac{ft}{s}[/tex], then the equation in point-slope form of the line is:

[tex]y + 1 = 4\cdot (t-1)[/tex]

The equation in point-slope form of the line that represents the height of the bucket relative to the top of the well is [tex]y + 1 = 4\cdot (t-1)[/tex].


Related Questions

a. How far would Lin and Noah run in 1 hour? Show
work on the sketch.
Remember - for this question you are trying to find the
number of miles per 1 hour. Miles per hour means miles
divided by hour.

Answers

Answer:

i need help

Step-by-step explanation:

Answer is from/credits= WaywardDelaney

The distance cover by Noah in 1 hour to cover distance is 6.5 miles

Step-by-step explanation:

Given as :

The distance cover by Lin = 2 miles = miles

The time taken to cover distance by Lin = hours

Again

The distance cover by Noah = 8 miles = miles

The time taken to cover distance by Noah = hours

Let the distance cover by Noah in 1 hour = d miles

∵ The distance cover by Noah in hours = miles

∴ The distance cover by Noah in 1 hour =

I.e d = miles

or, d = = 6.5 miles

So, The distance cover by Noah in 1 hour = d = 6.5 miles

Hence, The distance cover by Noah in 1 hour to cover distance is 6.5 miles Answer

Mr. Smith had 3/4 of a peach pie left over. He spilt the leftover pie among his 3 co-workers. What fraction of the pie did each co-worker receive​

Answers

Answer:

[tex]Fraction = \frac{1}{4}[/tex]

Step-by-step explanation:

Given

[tex]Pie = \frac{3}{4}[/tex]

[tex]Workers = 3[/tex]

Required

Determine the fraction received by each worker

To do this, we simply divide the fraction of the pie by the number of workers.

[tex]Fraction = \frac{Pie}{Workers}[/tex]

[tex]Fraction = \frac{3}{4}/3[/tex]

Convert to multiplication

[tex]Fraction = \frac{3}{4} * \frac{1}{3}[/tex]

[tex]Fraction = \frac{3}{12}[/tex]

Divide numerator and denominator by 3

[tex]Fraction = \frac{3/3}{12/3}[/tex]

[tex]Fraction = \frac{1}{4}[/tex]

Answer:

86

Step-by-step explanation:

(Brainliest for fastest right answer!!) Which is correct?

Answers

Answer:

(n - 5)(n + 5)

Step-by-step explanation:

a² - b² = (a - b)(a + b)

n² - 25 = n² - 5² = (n - 5)(n + 5)

4 x 6 - 8 / 4 = help me out

Answers

Answer:

22

Step-by-step explanation:

You use the order of operations: PEMDAS.

Sooo...

4*6-8/4=

24-8/4=

24-2=

22

solve 2x+y=3.5,-x+2y=2.5

Answers

Answer:

y=1.7

x=.9

Step-by-step explanation:

Answer:

x = 1.75 -y, y = 1.25 + x

Step-by-step explanation:

Part One

2x + y = 3.5

Divide

x + y = 1.75

Move the variable and change its sign

x = 1.75 -y

Part Two

-x + 2y = 2.5

Divide

-x + y = 1.25

Add

y = 1.25 + x

What is the slope of line containing the points below?

(2,5) and (10,29)

Answers

Answer:

7,8

Step-by-step explanation:

Slope = 5, y-intercept = -1

Answers

Answer:

y=5x-1

Step-by-step explanation:

Slope-intercept form: y=mx+b

m=Slope

b=y-intercept

y=5x-1

Hope this helps!

Answer:

y=5x-1

Step-by-step explanation:

can anyone help( i forgot to add the pic)

Answers

Answer:

first box : 19

second box : 1

last box : 1/19 to the power of 2

2x - 3 = 5(x + 4) + 1 solve for x and show work

Answers

Answer:

x=-8

Step-by-step explanation:

2x−3=5x+20+1

2x−3=5x+21

2x−3+3=5x+21+3

Then simplify those numbers

2x=5x+24

Then subtract 5x from both sides

Answer:

x=-8

Step-by-step explanation:

open brackets first

2x - 3 = 5x + 20 + 1

2x - 3 = 5x + 21

transpose

2x - 5x = 21+ 3

calculate

-3x = 24

x= -3/24

x= -8

Which statement correctly distinguishes the functions of lipids from other types of biomolecules

Answers

Answer:

The answer is below.

Step-by-step explanation:

Given that there are no available options.

Here are the functions that are peculiar to lipids but not to other biomolecules (proteins, carbohydrates, nucleic acids)

1. contributes to the structure of membranes, particularly in cell enclosures and compartments.

2. guide against desiccation

3. keeps more energy.

4. Serves as insulation against cold.

5. Absorbs shocks.

Which ski run would probably give you the greatest speed down a hill when you are skiing: one with a slope of 1/8, 1/4, 1, or 2?

Answers

Answer:

2

Step-by-step explanation:

For Every x value the y value increases by 2

Can someone please help me! ANYONE?! also to anyone that'll just answer this for points **** y'all in advance.

Answers

Answer:

Step-by-step explanation:

your answer is the second bubble

Answer:

where the question sista

Step-by-step explanation:


Please help me with this assignment. Will give brainliest

Answers

Answer:

Step-by-step explanation:

B

a2(a-p)-a(p2-3ap+a2)-{a(p2+a2)-p(a2+2p2)}​

Answers

Answer:

3a^2p-2a^2-8ap-4p^2

Step-by-step explanation:

........................​

Answers

Answer:

18 boys

Step-by-step explanation:

set a proportion

8         24

--  =     ---

6          x

24(6)=8(x)

144=8x

divide 8 by both sides

18 boys

Answer:

there are 32 boys

Step-by-step explanation:

24 divided by 6 = 4

24 + 8 =32

What is the square numeral of 64​

Answers

Answer:

4

Step-by-step explanation:

pls mark brainliest

Answer:

8

Step-by-step explanation:

find slope of the line giving brainly

Answers

Answer:

1

Step-by-step explanation:

Slope is x-y, so its 1

Answer

the slope is 1

Step-by-step explanation:

Downers grove has gotten 5 inches of snow and the snow depth is increasing by 6 inches every hour. Woodridge has gotten 13 inches of snow and is increasing 2 inches every hour. In how many hours will the snowfall of the towns be equal.

Answers

Answer:

2 hours

Step-by-step explanation:

Downers grove = 5 inches of snow + 6 inches every hour

= 5 + 6h

Woodridge = 13 inches + 2 inches every hour

= 13 + 2h

Where,

h = number of hours

In how many hours will the snowfall of the towns be equal?

Equate the snow falls of the towns

Downers grove = Woodridge

5 + 6h = 13 + 2h

Collect like terms

5 - 13 = 2h - 6h

8 = 4h

Divide both sides by 4

h = 8 / 4

= 2

h = 2 hours

The snowfall of the towns will be equal in 2 hours

I need help ASAP please it’s important

Answers

Answer: B.

Step-by-step explanation: If you simplify the equation you get 0 = 0, which is not a valid solution.

the product of a number and 3
as an expression​

Answers

Answer:

3x

Step-by-step explanation:

Let the number be 'x'

The product of a number and 3  = 3*x = 3x

Answer:

3x

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

please help me if you know
it means a lot thank you

Answers

1.5 x -3 +4. x=-3

-15+4

-11

2.-4/4-2 x-4-3. y=-4

-1-+8-3

7-3

4

is x=25?


please i need help. Thank you very much

Answers

Answer:

yes ur right

Step-by-step explanation:

180-130 = 50

50/2 = 25

this works because the sides are equal length

good stuff

Answer:

yep

Step-by-step explanation:

18-=130+x=x

180=130+2x

-130  -130

50=2x

25=x

yep

The expression x^3 + ax^2 - 15x + b has a factor of x – 2 and leaves a remainder 75 when divided
by x + 3. Find the value of a and of b.​

Answers

Answer:

The expression x^3 + ax^2 - 15x + b has a factor of x – 2 and leaves a remainder 75 when divided

by x + 3. Find the value of a and of b.

Let p(x) = x3 + ax2 + bx +6

 (x-2) is a factor of the polynomial x3 + ax2 + b x +6

p(2) = 0                                                                                       

p(2) = 23 + a.22 + b.2 +6 =8+4a+2b+6 =14+ 4a+ 2b = 0

7 +2 a +b = 0

b = - 7 -2a -(i)                                                                              

x3 + ax2 + bx +6 when divided by (x-3) leaves remainder 3.

p(3) = 3                                                                                      

p(3) = 33 + a.32 + b.3 +6= 27+9a +3b +6 =33+9a+3b = 3

11+3a +b =1 => 3a+b =-10 => b= -10-3a -(ii)                                    

Equating the value of b from (ii) and (i) , we have

 (- 7 -2a) = (-10 - 3a)

a = -3                                                    

Substituting a = -3 in (i), we get

b = - 7 -2(-3) = -7 + 6 = -1

Thus the values of a and b are -3 and -1 respectively.

help please will give brainly if all answerd corectly

Answers

Answer:

B

Step-by-step explanation:

The answer should be B

I’m dead help me
67. A swimming pool holds 6200 L of water.
The water drains at a rate of 20 L/min. How
long will the pool take to empty?

Answers

Answer:

310

Step-by-step explanation:

The answer for this question is 310

Move the dot to 12 on the number line.
-3

Answers

go to 0, and from the right start counting to twelve, each line is a number so count to 12 and put your dot on 12.

Answer:

Since the number line is in increments of 3 you have to move it four lines past 0.

Step-by-step explanation:

The number line is done in increments of 3.

What is an equivalent fraction to 1/2?

Answers

Answer:

A equivalent fraction for 1/2 is 6/12

Step-by-step explanation:

Answer:

2/4, 3/6, 4/8, 5/10, and 6/12 are all equivalent fractions. Hope this helped :)

PLZ HELP ITS TAN? 30 PTS

Answers

Answer:

[tex]\frac{8}{15}[/tex]

Step-by-step explanation:

Feel free to give brainliest.

Have an amazing day!

Jennifer is 20 miles north of her house, and she is driving north on the highway at a rate of 55 miles per hour. How far has she driven after 2 hours?

Answers

Answer:

130 miles

Step-by-step explanation:

(55 x 2) + 20 = x Miles

110 + 20 = x miles

130 miles

we are told 5 miles is 8 km.
Convert 32 km to miles.

Answers

19.884 miles, because 1km=0.621 mile

Step-by-step explanation:

5miles=8km

so, x miles=32km

8x=160

x= 160÷8

=20miles

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