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

what is the answer to (x-2)^5 ?

Answers

Answer:

x² - 4x + 4  

Step-by-step explanation:

(x -2)(x - 2)                

x² - 2x - 2x + 4          Expand using FOIL.

x² - 4x + 4                 Simplify.

En un barrio de 3.120 habitantes, se realizó una encuesta a 620 sobre la preferencia
por comer huevo al desayuno todos los días, contestando que, si le gusta 18 personas,
probablemente en el barrio, ¿cuántas personas prefieren lo mismo?

Answers

Es probable que el número de personas a las que si les gusta comer huevo al desayuno todos los días sea 90 personas.

Según principios estadísticos, es posible determinar una tendencia general utilizando una muestra de la población. En otras palabras, es posible tener una idea aproximada de las preferencias de una población si se logran determinar las preferencias de un pequeño grupo de dicha población.

En este caso sabemos que la población total equivale a 3120 habitantes, la muestra equivale a 620 personas y en la muestra 18 personas comen huevo al desayuno todos los días.

Usando una regla de tres podemos determinar la tendencia general:

Si a 18 personas de 620 les gusta comer huevo todos los días al desayuno, a cuántas personas de 3120 les gusta lo mismo.

18 = 620x = 3120

x = 18 x 3120 / 620x = 56160 / 620x=  90

Es decir que aproximadamente 90 personas tienen esta misma preferencia.

Aprenda más de estadística en: https://brainly.com/question/10678542

the ratio of cars to trucks in the parking lot is 3:5. If there are 360 vehicles in the parking lot how many are trucks

Answers

Step-by-step explanation:

cars : trucks = 3 : 5

there are 3 + 5 = 8 parts of the whole that is shared between cars and trucks.

these 8 parts (or the whole) are in total 360.

therefore, 1 part = 360/8 = 45

cars get 3 parts of the whole parking lot, that is

45 × 3 = 135 cars

trucks get 5 parts of the whole parking lot, that is

45 × 5 = 225 trucks

Consider the right triangle below. Solve for x. Label the sides in the image as opposite, adjacent, or hypotenuse, then show your work

Answers

Answer:   x = 19.7  (choice C)

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

Explanation:

The reference angle is 24 degrees. Opposite that angle is the side 8 units long. The horizontal portion is unknown and it's the adjacent side.

Also unknown is the value of x which is the hypotenuse.

To summarize:

opposite = vertical leg = 8adjacent = horizontal leg = unknownhypotenuse = x

The hypotenuse is always opposite the 90 degree angle.

To tie together the opposite and hypotenuse, we'll use the sine ratio

sin(angle) = opposite/hypotenuse

sin(24) = 8/x

x*sin(24) = 8

x = 8/sin(24)

x = 19.6687 approximately

x = 19.7 after rounding to the nearest tenth.

Side note: your calculator needs to be in degree mode

Will mark brainliest if you help me pleaseeee

Answers

[tex]a(n) = {n}^{2} + 3[/tex]

Answer:

nth term is equal to n²+3

Can someone help me please?? It’s due on thursday ❤️ (rotate picture if u can)

Answers

Answer: The two companies never charge the same amount to rent a bicycle for the same number of hours.

Shaq has opened a new bake shop in town. Shaq sells each chocolate
cake for $12 and spends $1,064 in rent per month. How many
chocolate cakes does Shaq need to sell to make $1,204 in profits this
month?

Answers

Answer:

she would need to sell 88.6

Step-by-step explanation:

PLEASE HELP‼️‼️15 POINTS PLEASE ANWER ASAP‼️‼️‼️ILL MARK BRAINLYEST I MEAN IT ‼️‼️‼️
which theorem would be used to prove the triangles below as congruent?

Answers

Answer:

ASA

Step-by-step explanation:This is because the two triangles have two angles and a side that are equal to each other. pls brainlyest me

Adding this so you can give the other person a brainlyist

The population of a city, y, in thousands of people, measured x years after 1800 can be modeled by the regression equation
y = 187.6/1 + 29.4e^-0.03x

Which statement best interprets a value in the equation?

The city population in 1800 was 187,600 people.
The city population grows by 29,400 people per year.
The limiting value of the city population is 29,400 people.
The limiting value of the city population is 187,600 people.

Answers

Answer:

D. The limiting value of the city population is 187,600 people.

Step-by-step explanation:

I'm honestly not sure, but it's based on the 187.6 on top of the equation. Correct on Edge 2021

Solve the system of linear equations by substitution: (SHOW UR WORK)
y=-x
y=3x-4

Answers

Answer:

1

Step-by-step explanation:

What you can do is do [tex]3x-4=-x[/tex]

-4=-4x

x=1

CHECK:

[tex]3-4=-1[/tex]

[tex]-1=-1[/tex]

First to get it will get Brainly and 20 points. Good luck

Answers

[tex] \frac{1}{2} [/tex]

Answer:

the correct answere is 1:2

Step-by-step explanation:

my sister is working on the same thing and I helped her and she got it right.

Solve the system with elimination:
5x - y =1
10x + 3y = 7

Answers

Answer:

X = 2/5

y = 1

Is this what your looking for?

Step-by-step explanation:

Solve the system with elimination:
5x - y =1
10x + 3y = 7

Answer x= 1

the picture i need help with this answer. the problem is in the picture

Answers

Answer:

Step-by-step explanation:

which one is a function

Answers

Answer:

Table B

Step-by-step explanation:

In order for a set of data to represent a function, there must be a pattern. In Table B , you can see that when you add or subtract 3 from the original input -8 (to get -5 or -11), that the values for -5 and -11 are matching. That signals there is a function.

6 Petra wants to buy an electronic reader that costs $160.75 including tax. She has saved $34.75 SO
far and plans to save an additional $10.50 each week. For how many weeks will Petra need to
save $10.50 to have enough money to buy the electronic reader

Answers

Answer:

Petra would need to save for 12 weeks to get 126

126+34.75=160.75

Petra need to save $10.50 to have enough money to buy the electronic reader in 12 weeks.

What is an expression?

Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.

Given that;

Petra wants to buy an electronic reader that costs $160.75 including tax. She has saved $34.75.

Here, So far and plans to save an additional $10.50 each week.

Let number of weeks to save $10.50 to have enough money to buy the electronic reader = x

So, We can formulate;

⇒ 10.50x + 34.75 = 160.75

Solve for x;

⇒ 10.50x = 160.75 - 34.75

⇒ 10.50x = 126

⇒ x = 126/10.50

⇒ x = 12

Learn more about the mathematical expression visit:

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#SPJ2

please help me Im lost on this :(​

Answers

Answer:

C

Step-by-step explanation:

the quadratic formula is

[tex] \frac{ - b + \sqrt{b ^{2} - 4ac} }{2a} [/tex]

Make the quadratic equal to 0, so it will be 3x^2 + 8x -2=0. Then substitute the values into the equation.

Answer: C) 3x^2+8x-10=-8

Step-by-step explanation:

3x^2+8x-10x=-8

3x^2+8x-2=0

a=3 b=8 c=-2

Plug it into quadratic formula.


4) Tom is 4 years older than Bob, Evan is 10 years younger than Tom, Tucco is half of Evan's age, and Mary is 8 year
younger than twice Tucco's age. Mary is 46 years old today. Find the rest of everyone's ages. Be careful with your
thinking

helpp

Answers

Answer:

if you find the age of bob the rest is easy

Step-by-step explanation:

Nate's recipe calls for 3 cups of flour, but all of his
measuring cups are dirty. He remembers that there are
16 tablespoons in a cup How many tablespoons of four
should he use in his recipe?

Answers

He should use 48 tablespoons of flour in his recipe.

Khloee spent $55.23 on a 12 pound box of apples. How much did the apples cost per pound?​

Answers

Answer:

4.603/Lb

Step-by-step explanation:

$55.23 / 12 = 4.603/Lb

$55.23 / 12 = $4.60

What is the equation of a line perpendicular to minus x plus 2 equal y that intersects the line at open parentheses minus 1. 5 comma space 3. 5 close parentheses ?.

Answers

The required equation of a line perpendicular is y = x + 5

Given the equation y = -x + 2, the slope of the line is -1

The slope of the line perpendicular will be m  -1/-1  = 1.

Given the point (-1.5, 3.5)

Substitute the slope and the point into the point-slope form of the equation expressed as:

[tex]y-y_1=m(x-x_1)[/tex]

[tex]y-3.5=1(x-(-1.5))\\y-3.5=x+1.5\\y=x+1.5+3.5\\y=x+5[/tex]

Hence the required equation of a line perpendicular is y = x + 5

Learn more on equation of a line here: https://brainly.com/question/19417700

3
5
+
2
3
=
whats the answer

Answers

Answer:

19/15 is the answer

What is the constant of this polynomial? 3x9 + 4x + 129​

Answers

Answer:

  129

Step-by-step explanation:

When referring to the constant in a polynomial, we're generally referring to the term that has no variables in it. Here, that term is 129.

The constant is 129.

What is the product of ( 4 + 3 i ) and ( 12 − 2 i )

Answers

Answer:

Step-by-step explanation:

(4+3i)(12-2i)

48 - 8i + 36i - 6i^2

48 + 28i +6

54 + 28i

What is the domain and range ?

Answers

Answer:

domain: [0, ∞)

range: (-∞, 0]

Step-by-step explanation:

the domain is all the possible x-values, which is all the numbers from 0 to infinity.

the range is all the possible y-values, which is all the numbers from negative infinity to 0.

The domain refers to the set of possible input values. The domain of a graph consists of all the input values shown on the x-axis. The range is the set of possible output values shown on the y-axis.

Domain=the set of all x-coordinates={1,2,3,4}.
Range= the set of all y-coordinates={2,3}

what is it and why? having a good explanation would really help me. thx <3

Answers

Answer:

B. (-4-2)

Step-by-step explanation:

since the numerator is one you can divide -8 by the denominator of each fraction. -8/2 = -4, -8/4 = -2

(-4-2)

You have to make sure you distribute the -8 to all parts inside the parenthesis for it to be right.

i hope this helps :)

Solve the following system of equations.
8x+3y=18
-7x-4y=-13
x= y=

Answers

Answer:

x=3

y=-2

Step-by-step explanation:

Just ask!

Hope this helps.

(✿◡‿◡)

Help ! Aanswer ! Read the direction and answer with proof ! I'll give brainliest to whose right.​

Answers

Answer:

x > 14 ; x < 12

Step-by-step explanation:

Perimeter > 50, so that means all the sides added together are larger than 50. x+4+2x-6+10>50, so x > 14

Area < 138, so that means 3*(4x-2) < 138, so x < 12

3) Find the square root of these numbers by division method . 24336





I want full answer

Answers

Ans : 156 Hope you understand
Note : to find the squareroot of any number follow the steps : find the log ( lowest common factor )



If f(x) = 2x – 5, then what is the value of f(2) + f(5)

Answers

Answer:

4

Step-by-step explanation:

PLEASE HELP WHAT IS THE DOMAIN AND RANGE OF THIS GRAPH

Answers

Pay attention in school bud

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