A (litres)
160
140
120
100
The amount of oil A left in a leaky barrel after
t minutes is shown on the graph alongside.
a Find the gradient and A-intercept of the line.
Interpret your answers.
6 Find the model connecting A and t.
c. How much oil will be left after 15 minutes?
d For what values of t is it reasonable to apply
this model?
80
60
40
20
0
12
6
(minutes)

A (litres)160140120100The Amount Of Oil A Left In A Leaky Barrel Aftert Minutes Is Shown On The Graph

Answers

Answer 1

Answer:

Step-by-step explanation:

Graph attached represents the relation between amount of oil left in the leaky oil tanker and time.

a). Gradient of the line = [tex]\frac{\text{Rise}}{\text{Run}}[/tex]

                                      = [tex]\frac{(160-120)}{(0-8)}[/tex]

                                      = -5

    A-intercept = 160

b). Linear equation to represent the given relation in the graph will be,

  A = (-5)t + 160

c). At t = 15 minutes,

   A = (-5)(15) + 160

   A = -75 + 160

   A = 85 liters

d). This model is applicable till the container gets fully emptied.

   For A = 0,

   0 = -5t + 160

   t = [tex]\frac{160}{5}[/tex]

   t = 32 minutes

   Therefore, this model is reasonable up to t = 32 minutes.


Related Questions

Eight friends went to a hockey game. The
price of admission per person was $x. Four
of the friends paid an extra $6 each for a
player guide book. Write and simplify an
expression that represents the total
cost.

Answers

Step-by-step explanation:

Four bought a book at $6

4 x $6 = $24

8 x $x = $8x

Expression

$24 + $8x

3+(7-5)to the power of 2 x 6

Answers

Answer:

27

Step-by-step explanation:

PEMDAS

That is the order that you should solve complex equations

You first do equations in Parentheses

Then exponents

Then Multiplication or Division (whichever comes first in the equation)

Then Addition or Subtraction (again, whichever comes first in the equation)

So we first do the equation in parentheses, 7 - 5

7 - 5 = 2

Then we do the exponent (to the power of 2)

2 to the power of 2 is 4 (fun fact. 2 + 2 is the only equation that is the same in addition form and multiplication form)

Next, we multiply 4 by 6

4 x 6 = 24

And finally addition

3 + 24 = 27

Best buy is having a 20 percent off deal on Tv's. If the tv cost 415 dollars in total, how much would you pay with the discount?

Answers

Answer: $332

Explanation:

You have to change the percent into a decimal so 20% becomes 0.20

415 x 0.20 = 83

20% of 415 is 83

415 - 83 = 332

In a​ company, 90​% of the workers are women . If 440 people work for the company who​ aren't women ​, how many workers are there in​ all? Use pencil and paper. Show two different ways that you can solve this problem.

Answers

Answer:

There are total 4400 workers

Process is in photo...

The total number of workers if, In a​ company, 90​% of the workers are women, If 440 people work for the company who​ aren't women is 4400.

What is percentage?

As it is clear from the term per-cent means measuring anything per hundred. For example, you get marks per 100 marks, so you get the percentage.

Given:

In a​ company, 90​% of the workers are women,

If 440 people work for the company who​ aren't women,

Calculate the percentage of people who aren't women as shown below,

The percentage of people who aren't women = 100% - the percentage of women

The percentage of people who aren't women = 100% - 90%

The percentage of people who aren't women = 10%

Assume that there are a total of x workers then according to the statement,

10% of x = 440

10 / 100 × x = 440

x = 440 × 100 / 10

x = 4400

To know more about percentages:

brainly.com/question/20818421

#SPJ2

A clown has 9 red balloons and 4 blue balloons?
You pick one balloon without looking.
what is the chance it is red?

(A) 4/5

(B) 9/4

(C) 9/13​

Answers

Answer:

(C) 9/13

Plzzzzz give me Brainliest!!!!!  

Answer:

C. 9/13

Step-by-step explanation:

It’s kinda obvious because you can’t simplify that probability anymore unless you want decimals, also my bad for people cling the wrong answer previously

2. You need to work a total of 44 hours per week at your two jobs. Your job as a store clerk pays
$5.50 an hour, and your job as a landscaper pays $6.00 an hour. You need to earn $250.00 per
week to cover your expenses. Which system of equations shows the various numbers of hours
you can work at each job? C is the number of hours worked as a clerk, while L is the number of
hours worked as a landscaper.
A.
C +L = 44
5.50C + 6L = 250
B.
C + L = 250
5.50C + 6L = 44
C.
5.50C + L = 44
C + 6L = 250
D.
C + L = 44
6C + 5.50L = 250

Answers

I think that the answer is second one

The equation shows the various numbers of hours you can work at each job are 5.50C + 6L = 250, and C + L = 44, so option A is correct.

What is the equation?

Equation: A declaration that two expressions with variables or integers are equal. In essence, equations are questions and attempts to systematically identify the solutions to these questions have been the driving forces behind the creation of mathematics.

Given:

You work a total of 44 hours per week at your two jobs, Your job as a store clerk pays $5.50 an hour, and your job as a landscaper pays $6.00 an hour, and the total money to be earned is $250 per week.

Calculate the equation as shown below,

5.50C + 6L = 250 and C + L = 44

Solve the above equation by using the elimination method,

C = 28 hours and L = 44 - 28 = 16 hrs

Therefore, the equation shows the various numbers of hours you can work at each job are 5.50C + 6L = 250, and C + L = 44.

To know more about equation:

https://brainly.com/question/12788590

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If the point (3,-4) is dilated by a scale factor of 74 , what are the new coordinates?
Now take the new points and rotated them 180°. What are the new coordinates?

Answers

Answer:

(-222, 296)

Step-by-step explanation:

Given point

(3, -4)

Dilation by a scale factor of 74:

(x, y) → (74x, 74y)(3, -4) → (74*3, 74(-4)) = (222, -296)

Rotation by 180°:

(x, y) → (-x, -y)(222, -296) → (-222, 296)

Esther and her 6 brothers went shopping at the mall. She shopped in 12 different stores while her brothers each shopped in 8 different stores. How many stores did Esther and her brothers shop in altogether?

Answers

Answer:

60 stores

Step-by-step explanation:

Here, we want to get the total number of stores in which Esther and her 6 brothers went shopping

From the question, she shopped in 12 different stores

Each of her six brothers shopped in 8 different stores

That makes the number of stores in which the brothers shop be 8 * 6 = 48 stores

The total number of stores is thus, 48 + 12 = 60 stores

– 7y = 7x + 21

Please I need these two question answered fasttttt, I need to get the slope and y-intercept for both these problems.

Answers

Answer:

slope=-1

y-intercept=-3

Step-by-step explanation:

if you solve the equation, it equals y = -x-3 since you divide -7 from both sides

13 m
6 m
8 m

7 m
What is the perimeter and the area?

Answers

Answer:

4368 m

Step-by-step explanation:

13x6x8x7=4368

Write an equation of the line that passes through the point (2,3) and is perpendicular to the line x = -1

Answers

Answer:

y = 3

Explanation:

Any equation of a line that is written as x = # (meaning x equaling whatever number) is vertical on the graph. Therefore, x = -1 is a vertical line. And since x equals -1, all the points on the graph must have an x-value of -1.

We need to find a line that is perpendicular to it - and what would be perpendicular to a vertical line would be a horizontal line. Horizontal lines are represented by the equation y = # (meaning y equaling whatever number). Whatever number is written there is the y-value of all the points the horizontal line intersects.

We know that the line has to pass through (2,3). Therefore, take the y-value of that point - which is 3 - giving us y = 3.

Answer:

w

Step-by-step explanation:

w

A soccer field is 120 yards long. Han measures the length of the field using a 30-foot-long tape measure and gets a measurement of 358 feet, 10 inches. What is the amount of the error?

Answers

Answer:

Error = 1.167 feet

Percentage error = 0.3242%

Step-by-step explanation:

The original length of the soccer field = 120 yards long

Converting to feet

1 yard = 3 feet

120 yards = x

Cross Multiply

x = 120 × 3 feet

x = 360 feet

Measured length:

Han measures the length of the field using a 30-foot-long tape measure and gets a measurement of 358 feet, 10 inches.

We convert 10 inches to feet

1 inch = 0.0833 feet

10 inches = x feet

Cross Multiply

x = 10 × 0.0833 feet

x = 0.833 feet

The measured length = 358 feet + 0.833 feet

= 358.833 feet

The Error is calculated as:

|Measured length - Original Length)

= 360 feet - 358.833 feet

= 1.167 feet

Percentage Error

= Error/Original Length × 100

= 1.167/360 × 100

= 0.3241666667%

Approximately = 0.3242%

Which equation is equivalent to the given equation? Pls help

Answers

The answer is 2x²+12x+16=0

the lcm of 22 132 and 253 using prime factorization? ​

Answers

Answer:

3036

multiples of 12 are 12, 24, 36, 48, 60, 72, 84, 96, 108, 120, 132, 144 and so on,

multiples of 32 are 264, 396, 528, 660, 792, 924, 1056 and so on,

multiples of 253 are 253, 506, 759, 1012, and so on,

Its quite a time consuming process.

when all the numbers eventually meet together that is the answer.

Which of the following is the converse of the statement below?
"If two segments have the same measure, then the segments are congruent."
o Two segments are congruent if and only if they have the same measure.
o If two segments do not have the same measure, then they are not congruent.
o If two segments are not congruent, then they do not have the same measure.
o If two segments are congruent, then they have the same measure.
1
2.
3
4
5

Answers

Answer:

Two segments are congruent if and only if they have the same measure.

Step-by-step explanation:

Because they have the same measurement which means that they are congruent if they have the same measure.

2х +3y
what is the value of this equation

Answers

Answer:

12/15

Step-by-step explanation:

please answer 4b + 10 = 70

Answers

Answer:

b=15

Step-by-step explanation:

I really need help with my questions I just posted please help

Solve each compound inequality. Graph your solutions.
5 + m > 4 or 7m< -35

Answers

Answer:

Solving the inequality [tex]5 + m > 4\: or\: 7m< -35[/tex] we get [tex]\mathbf{m>-1\:or\: \:m<-5}[/tex]

The graph of the inequality is shown in figure attached.

Step-by-step explanation:

We need to Solve each compound inequality [tex]5 + m > 4\: or\: 7m< -35[/tex]

Solving the inequalities

For solving compound inequalities we solve both inequalities simultaneously and find the value of m.

For solving 5+m > 4, we subtract 5 from both sides.

While solving 7m < -35, we divide both sides by 7 to get value of m

Applying these functions we get:

[tex]5 + m > 4\: or\: 7m< -35\\m>4-5\:or\:m<\frac{-35}{7}\\m>-1\:or\:m<-5[/tex]

So, solving the inequality [tex]5 + m > 4\: or\: 7m< -35[/tex] we get [tex]\mathbf{m>-1\:or\: \:m<-5}[/tex]

The graph of the inequality is shown in figure attached.

Three students sit in the first row. In the second row, 3 students sit behind each of those students, and so on. Write an expression with exponents to show how many students sit in the third row? How many total students are seated?

Please help, I don't understand this. You get 65 points!

Answers

Answer:

15

Step-by-step explanation:

Dont need an explanation really, but if there are 5 rows, with 3 each in them, all you need to do is 3x5.

15.

35-36. PLEASE HELP! I've bee stick on this problems and I've reposted it sooo many times but no one answered. If you answer both and leave an explanation I will mark you brainliest!​

Answers

Answer:

1. Look at the screenshot below.

2. If a line intersects a parabola at a point, the coordinates of the intersection point must satisfy the equation of the line and the equation of the parabola.

Since the equation of the line is y = c, where c is a constant, the y-coordinate of the intersection point must be c.

It follows then that substituting c for y in the equation for the parabola will result in another true equation: c = −x^2 + 5x.

Subtracting c from both sides of c = −x^2 + 5x and then dividing both sides by −1 yields 0 = x^2 − 5x + c.

The solution to this quadratic equation would give the x-coordinate(s) of the point(s) of intersection.

Since it’s given that the line and parabola intersect at exactly one point, the equation 0 = x^2 − 5x + c has exactly one solution.

A quadratic equation in the form 0 = ax^2 + bx + c has exactly one solution when its discriminant b 2 − 4ac is equal to 0. In the equation 0 = x^2 − 5x + c, a = 1, b = −5, and c = c.

Therefore, (−5)^2 − 4(1)(c ) = 0, or 25 − 4c = 0.

Subtracting 25 from both sides of 25 − 4c = 0 and then dividing both sides by −4 yields c = 25/4 .

Therefore, if the line y = c intersects the parabola defined by y = −x^2 + 5x at exactly one point, then c = 25/4 .

Either 25/4 or 6.25

Can somebody answer this?

Answers

Answer:

c. m

General Formulas and Concepts:

Algebra I

Slope-Intercept Form: y = mx + b

m - slope b - y-intercept

Step-by-step explanation:

It is wise to remember Slope-Intercept Form as it tell us how to graph a linear equation and tells us specific things about the line itself.

Answer:

the slope of the line is m

Step-by-step explanation:

why m?

because as you see in the equation

y=mx+b this means y-b/x = m

as you know slope is ∆y/∆x =m

it is the same as the first one .

Jack needs to save $598 to buy a video game system. He is able to save $26 per week. How many weeks will it take till he can buy the video game?

Answers

Answer:

23 weeks

Step-by-step explanation:

1. 598/26 = 23

2. 23 weeks

please help with this question (the attached image)

Answers

Answer:

it is c

i had this test pls marek me brainlyesest

Answer:

Your awnser is C.

Step-by-step explanation:

.

i need the answer to this asap, plzz

Answers

Answer:

[tex]\mathrm{D.\:}\sqrt{126}[/tex]

Step-by-step explanation:

All three triangles in the figure are similar. Therefore, we can set up the following proportion:

[tex]\frac{18}{m}=\frac{m}{7}[/tex]

Cross-multiply to solve:

[tex]m^2=18\cdot 7 = 126, \\\\m=\fbox{$\sqrt{126}$}[/tex].

describe the horizontal and/or vertical shifts used to transform the equation y=|x| to the equation y=|x|+4

Answers

It will move 4 to the right horizontally

What's the difference between period and cycle in math?

Answers

Cycle is a concept of wave motion. It does not have units and dimensions, but the period is a scalar quantity.

What is the sum of the expression below? (9c – 8d) + (2c – 6) + (–d + 3)
A. 11c + 9d – 9
B. 11c – 9d – 3
C. 7c – 7d – 3
D. 7c – 9d + 3

Answers

Answer:

Answer:

11c−9d−3

Step-by-step explanation:

9c−8d+2c−6−d+3

=9c+−8d+2c+−6+−d+3

=9c+−8d+2c+−6+−d+3

=(9c+2c)+(−8d+−d)+(−6+3)

=11c+−9d+−3

Answer--

=11c−9d−3

Ill mark you brainliest And you'll get 20 points!

Answers

Answer:

F. 3k - 11 =-34

Step-by-step explanation:

3(-15) -11 = -34

-45 - -11 =-34

- + - = a positive

-45 + 11 = -34

This is the last one. Please help I need this in by 11:59

Answers

Answer:

37) the answer to that is 89 - 66= 23 add the angles frm 40 degree half which is

20+46= 66 and the other angle is not 90 but 89 so minus one frm 90 which is 89- 6= 23 degree

38)

38. 20
39. 68
40. 22

Find -0.5D D=[18. 16] [-14 -6]
Options are: A. [9 8] [-14 -6] B. [9 8] [7 3] C. [9. 8] [-7 -3] D. [-9 -8] [7 3]

Answers

Answer:

The correct answer is Option D: [-9 -8] [7 3]

Step-by-step explanation:

Given that

D = [18 16][-14 -6]

We have to find -0.5D

In order to find the required values of D we only have to multiply the individual elements with -0.5, this might change the signs of elements and reduce the magnitude.

So,

[tex]-0.5D = [-0.5*18\ \ -0.5*16][-0.5*-14\ \ \ -0.5*-6]\\-0.5D =[-9\ \ \ -8][7\ \ \ 3][/tex]

Hence,

The correct answer is Option D: [-9 -8] [7 3]

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