An oil tanker is leaking at a constant rate per minute. After 11 minutes, 931 gallons of oil remain in the tanker. After 18 minutes, 633 gallons of oil remain in the tanker. Write the function f(t) that describes this scenario.

Answers

Answer 1

The  function f(t) that describes this scenario will be A = -42.57t + 1399.28

Let the amount of oil remaining after time t be ALet the time taken be "t"

This required linear expression will be given as A= mt + b

Writing the gallons of oil and the time taken as a coordinate point (A, t), these are given as (11, 931) and (18, 633)

m is the rate of change = 633-931/18-11

m = -298/7

m = -42.57

Get the intercept;

633 = -42.57(18) + b

633 = -766.29 + b

b = 1,399.28

Heence the  function f(t) that describes this scenario will be A = -42.57t + 1399.28

Learn more on functions here; https://brainly.com/question/17431959


Related Questions

reduce the following fractto their lowest form​

Answers

Answer:

a) 3/16

b) 8/7

Step-by-step explanation:

i think the idea there was just simplifying the fractions.

Find the value of x so that the ratios are equivalent.

9:x and 54:8

Answers

Answer:

1 and 1/3.

Step-by-step explanation:

Just ask!

Hope this helps...(sorry if I'm wrong.)

(✿◡‿◡) HAPPY HOLIDAYS!!!

deacrease 250 by 15%

Answers

Answer:

212.5

Step-by-step explanation:

Please help meeee! Need the answer for the first box, no phony answers please! Thanks for your help, and happy holidays!

Answers

Answer:

y=2(x+5)^2-4.

Step-by-step explanation:

By solving a little bit, we get the vertex to be (-5, -4). Plugging the info given and the vertex into the vertex form, we get y=2(x+5)^2-4. You have a happy holiday season, too!

Craig sells cabinets at a 600% percent markup from the cost of materials. He spent $2000.00 on the materials for cabinets he just built. What will be the price he sells those cabinets for?

Answers

Answer:

3781

Step-by-step explanation:

80 hours × $18=$1440 for labor. 1440+15%(1440×.15)=$216.00 + material cost=$2125

(2125.00+1440.00+216=3781)

Solve for x. 7x+8>4x+4​

Answers

Answer:The inequality is x > -4/3.Step-by-step explanation:7x + 8 > 4x + 4​=> 7x - 4x > -8 + 4​=> 3x > -4=> x > -4/3Conclusion:

Hence, the inequality is x > -4/3.

Hoped this helped.

[tex]BrainiacUser1357[/tex]

Answer:

x > - [tex]\frac{4}{3}[/tex]

Step-by-step explanation:

7x + 8 > 4x + 4 ( subtract 4x from both sides )

3x + 8 > 4 ( subtract 8 from both sides )

3x > - 4 ( divide both sides by 3 )

x > - [tex]\frac{4}{3}[/tex]

Kindly Simplify this Question

Answers

Step-by-step explanation:

(3⁵×2^-5×5^-5×2×3²)/(5⁵×3^-2×2^-2)

[3^(5+2+2)][2^(-5+1+2)][5^(-5-5)]

3⁹×2^-2×5^-10.

hope this helps you.

Shelly has a plan to save $500 for a trip that is 8 weeks away. She already has $50 in her
account. How much will she need to save weekly to meet her goal?

Answers

Answer:

She will still need about 450$

Step-by-step explanation:

So from what I have learned, she will need to work in order to get the money, but even when she is working, she may have expenses to pay and she may not make it, but she will because she can do loans and when she earns the money from loans, then she can pay, then she may have left over money she can use while on trip.

I don’t know but it’s about 400 or 450

sara has $65 and wants to buy the following items from a store boars game 14.95 building blocks $25.49 art kit $35.79 at the store all items are one-fourth off of the original price and there is a 5% sales tax sara wants to know if she can buy whitch statement true?

Answers

Answer:] ):::::::::::

Step-by-step explanation:

What is the result when the number 15 is increased by 20%

Answers

Answer:

75

Step-by-step explanation:

15 divided by .20 = 75

75
20% is .20 and
15/.20 = 75 therefore your answer should be 75

find the highest common factor

Answers

Answer:

3x

Step-by-step explanation:

because both terms are common 12 and 6 is 3 and x² and x is x

Jada has p pennies and n nickels that add up to more than 40 cents. She has fewer than 20 coins altogether.

A. Write a system of inequalities that represents how many pennies and nickels that Jada could have.

Answers

Answer:

5n+p>40

n+p<20

Step-by-step explanation:

Answer:

Answer below

Step-by-step explanation:

The currency called the dollar can be split into smaller forms called nickels, pennies, dimes, and quarters.

The system of inequalities that represents how many pennies and nickels that Jada could have is given as:

p + n < 20

0.01p + 0.05n > 0.40

Let's represent the number of :

pennies = p

nickels = n

It is important to also note that:

1 penny = $0.01

1 nickel = $0.05

40 cents can also be written as: $0.40

Jada has p pennies and n nickels that add up to more than 40 cents.

The word more than means greater than and this can be represented by the inequality sign ">". Hence, our inequality equation is given as:

$0.01 x p + $0.05 x n > $0.40

0.01p + 0.05n > 0.40

She had fewer than 20 coins altogether.

The word fewer means less than and this can be represented by the inequality sign "<". Hence, our inequality equation is given as:

p + n < 20

Therefore, the system of inequalities that represents how many pennies and nickels that Jada could have is given as:

p + n < 200.01p + 0.05n > 0.40

Correct answer is  p + n < 20 0.01p + 0.05n > 0.40

_____________________________________________________

(Hope this helps can I pls have brainlist (crown)☺️)

Calculator
What is the value of x

Answers

Answer:

71.8

Step-by-step explanation:

Help for points! please

Answers

Answer:

B 5/12

Step-by-step explanation:

Answer:

its b  

Step-by-step explanation:

i just did it

have a nice dayyyyyyyyyyyyyyyy

1.1046 rounded to the nearest whole number

Answers

Answer:

1

Step-by-step explanation:

Answer is 1

cuz nearest whole number, just check the next number that is nearest, that in this case is the decimal 1, hence, if it's 5 or above add a one to the whole number, if not then just write it as it is. in this case the nearest number is less than five so we just write it as 1.0000 or just 1

16. (-4, -3), (-2, 2)

Answers

Answer:

16. 5/2

Step-by-step explanation:

Rise/run

2- (-3)=5

-2- (-4)=2

rise/run= 5/2 (Five over two)

7. Un cuerpo desliza hacia abajo con velocidad constante por un plano inclinado a un ángulo de 22º. Luego es lanzado en sentido contrario por el mismo plano con una velocidad inicial de 4.0 m/s. a) ¿Qué distancia subirá por el plano antes de detenerse? b) ¿Deslizará nuevamente hacia abajo?AYUDAAAA ES PARA HOY!!!

Answers

The distance travelled across the slant will be -

h = √({4v/g}{cot (22°)})² + {v/g(cos(22°) - 1)}² and yes it will slide down again.

What is resolution of vectors?

If we take a single vector we can find a pair of vectors at right angles to each other that would combine to give the single original vector. This reverse process is called resolution or resolving vectors.

Given is that  body slides down a 22º inclined plane with constant speed. It is then thrown in the opposite direction by the same plane with an initial velocity of 4.0 m/s.

[A] -

We can write the total distance covered along the slant as a function of [x] and [y] components as -

h = h[x] i + h[y] j

Now -

h[x] = 4tcos(22°)

Now -

F = ma

F = m{dv/dt}

Fdt = mdv

mg sin(22°)dt = mdv

dt = {1/g sin(22°)}dv

∫dt = ∫ {1/g sin(22°)}dv

t = v/g sin(22°)

So, we can write -

h[x] = 4 cos(22°)v/g sin(22°)

h[x] = {4v/g}{cot (22°)}

Similarly -

h[y] = 4t'cos(22°)

F = ma

F = m{dv/dt}

Fdt = mdv

N cos(22°) - mg = F

{N cos(22°) - mg}dt' = mdv

{mg cos(22°) - mg}dt' = mdv

{g cos(22°) - g}dt' = dv

dt' = dv/{g cos(22°) - g}

∫dt' = ∫dv/{g cos(22°) - g}

t' = {v/g(cos(22°) - 1)}

So -

h[y] = 4 x  {v/g(cos(22°) - 1)} x  cos(22°)

h[y] = {4v/g(cos(22°) - 1)} cos(22°)

So -

Distance travelled across the slant -

h = √({4v/g}{cot (22°)})² + {v/g(cos(22°) - 1)}²

[2] -

Yes, it will slide down again.

Therefore, the distance travelled across the slant will be -

h = √({4v/g}{cot (22°)})² + {v/g(cos(22°) - 1)}² and yes it will slide down again.

To solve more questions on resolving vectors, visit the link below -

https://brainly.com/question/17264346

#SPJ5

{Question in english language -

A body slides down a 22º inclined plane with constant speed. It is then thrown in the opposite direction by the same plane with an initial velocity of 4.0 m/s. a) How far will it go up the plane before stopping? b) Will it slide down again? HELP IS FOR TODAY!!!}

A rectangular field is fully enclosed with 218 meters of fencing. The length of the field is

17 meters longer than the width, w.

Answers

The length and width of a rectangular field fully enclosed with 218 metes fencing  are 63 meters and 46 meters respectively.

The perimeter of a rectangle is the sum of the whole four sides. Therefore, the perimeter of a rectangle is defined as follows:

perimeter = 2(l + w)

where

l = length

w = width

perimeter = 218 meters

The length of the field is  17 meters longer than the width, w. Therefore, the length is defined as follows:

l = 17 + w

The length and the width can be calculated as follows:

218 = 2(l + w)

218 = 2(17 + w + w)

218 = 34 + 4w

218 - 34 = 4w

184 = 4w

divide both sides by 4

w = 184 / 4

w = 46 meters

length = 17 + 46

length = 63 meters

learn more on rectangle here: https://brainly.com/question/15989799?referrer=searchResul

a
Fitness Club A has a membership fee of $35 plus $3 each time you swim. Fitness Club B has a membership fee of
$27.50 plus $4.50 each time you swim. After how many swims will the cost be the same?
A
4
B) 7
6
D
8
E 5

Answers

Write an equation for each one set the equal to each other and solve.

A: 35 + 3x

B: 27.50 + 4.50x

35 + 3x = 27.50 + 4.50x

Subtract 27.50 from both sides:

7.50 + 3x = 4.50x

Subtract 3x from both sides

7.50 = 1.50x

Divide both sides by 1.50

X = 5

Answer: 5

4. Mario planted a total of 150 eggplant and pepper seedlings. If he planted 50%
more pepper seedlings than the eggplants, how many pepper seedlings did he
plant?

Answers

Answer:

225 pepper seedlings.

Step-by-step explanation:

WAY 1: common sense

half of 150 is 75

75 + 150 = 225

WAY 2: % of number

convert % to decimals (/100)

0.5 x 150 = 75

150 + 75 = 225

I NEED HELP WITH MATH PLEASEEE??!

Answers

Answer:

  y = -x +2

Step-by-step explanation:

The slope can be found from the slope formula:

  m = (y2 -y1)/(x2 -x1)

  m = (6 -5)/(-4 -(-3)) = 1/-1 = -1

The y-intercept can be found from ...

  b = y -mx

  b = 5 -(-1)(-3) = 2

The slope-intercept equation for the line is ...

  y = mx +b

  y = -x +2 . . . . use the values of m and b we found

Initial value of 100 increasing at a rate of 5%

Answers

Step-by-step explanation:

105 is now total final value

Answer:

105..................

A?
B?
C?
D?

Number 10 on conexus <3
If correct I’ll give brainlest

Answers

D lol exactly yiu yeah arte yr

please solve this problem using the foil method
[tex] {x}^{2} - 9[/tex]

Answers

Answer:

This is already in its simplest form, but if you set the equation equal to zero, it's (x-3)(x+3).

Step-by-step explanation:

x^2-9=0

a= 1

b=0

c=-9

Factors of c (-9) that add up to make b (0): -3, 3

(x-3)(x+3)

we know:   [tex]a^2-b^2=(a+b)(a-b)[/tex]

So:    [tex]x^{2} -9=x^{2} -3^2=(x+3)(x-3)[/tex]

Ok done. Thank to me :>

How i can asnwer this question, NO LINKS, if you answer correctly i will give u brainliest!

Answers

Answer:

B

Step-by-step explanation:

Each number you're adding 12.

24 + 12 = 36, 36 + 12 = 48,. etc..

B

A shows factors of 12 instead of multiples, and C just doesn’t show numbers of relation to 12

Joe has eaten 3/5 of a pizza. Jane has eaten 1/9 of a pizza . How many times more pizza has joe earthen then Jane

Answers

Answer:

5/10 more

Step-by-step explanation:

Which relation is not a function?
A
{(10,−5),(8,−4),(4,−2),(2,0)}

B
{(1,−2),(1,−4),(1,0),(1,8)}

C
{(−3,9),(−2,4),(−1,1),(1,1)}

D
{(3,10),(5,−5),(6,6),(9,11)}

Answers

Answer: B repeating domain is 1

Step-by-step explanation: Repeat domain is not a function. Hope this help:)

P^2 x 2p^4 x q x q^2

(m^2 x m^4) ÷ m^5 x m^2

Answers

Answer:

[tex]\huge\boxed{2p^6q^3}\\\boxed{m^3}[/tex]

Step-by-step explanation:

[tex]Use\\\\a^n\cdot a^m=a^{n+m}\\\\p^2\cdot2p^4\cdot q\cdot q^2=(p^2\cdot2p^4)\cdot (q\cdot q^2)=2p^{2+4}q^{1+2}=2p^6q^3[/tex]

[tex]Use\\\\a^n\cdot a^m=a^{n+m}\\\\a^n:a^m=a^{n-m}[/tex]

[tex](m^2\cdot m^4):m^5\cdot m^2=m^{2+4}:m^5\cdot m^2=m^{6-5}\cdot m^2=m^{1+2}=m^3[/tex]

Place the fraction 1/2 on the number line.

Answers

Answer:

in the middle

Step-by-step explanation:

I did this before

1/2 is a half so if the number line starts at a 1 and ends at a 2 it would be in the middle. Please note that 100/500=10/50=1/2

WHAT IS 62729287937927497393884x0
I NEED HELP!!!!!!!!!
PLEASEEEEEE

Answers

Answer:your mom

Step-by-step explanation:

[tex]\huge \bf༆ Answer ༄[/tex]

Any value multiplied by Zero gives Zero, therefore ~

[tex] \sf62729287937927497393884 \times 0 = 0[/tex]

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