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Answer:
the answer is 66
Step-by-step explanation:
multiply
Related Questions
Solve the quadratic equations in questions 1 – 5 by factoring.Need my answers checked1. x2 – 49 = 02. 3x3 – 12x = 03. 12x2 + 14x + 12 = 184. –x3 + 22x2 – 121x = 05. x2 – 4x = 51.x^2-49=0x^2-7^2=0(x-7)(x+7)=0Solution x=7, x=-7 2.3x^3-12x=03x(x^2-4)=03x(x^2-2^2)=03x(x-2)(x+2)=0 3.12x^2+14x+12=1812x^2+14+12-18=012x^2+14x-6=02(6x^2+7x-3)=02(6x^2-2x+9x-3)=02(2x(3x-1)+3(3x-1)=02(2x+3)(3x-1)=0Solution X=-3/2, X=1/3 4.-x^3+22x^2-121x=0-x(x^2-22x+121)=0-x(x-11)^2=0-x(x-11)(x+11)=0Solutions x=11,x=-11 5.x^2-4x=5x^2-4x-5=0x^2+z-5x-5=0(x^2+x)-(5x+5)=0x(x+1)-5(x+1)=0(x-5)(x+1)=0Solutions x=5,x=-1
Answers
Given:
The quadratic equation is:
[tex]\begin{gathered} (1)x^2-49=0 \\ \\ (2)3x^3-12x=0 \\ \\ (3)12x^2+14x+12=18 \\ \\ (4)-x^3+22x^2-121x=0 \\ \\ (5)x^2-4x=5 \\ \end{gathered}[/tex]Find-:
Solve the quadratic equation is:
Explanation-:
The factoring of the equation is:
(1)
[tex]\begin{gathered} x^2-49=0 \\ \\ (x+7)(x-7)=0 \\ \\ x+7=0\text{ and }x-7=0 \\ \\ x=-7\text{ and }x=7 \end{gathered}[/tex](2)
The equation is:
[tex]\begin{gathered} 3x^3-12x=0 \\ \\ 3x(x^2-4)=0 \\ \\ 3x=0\text{ and }x^2-4=0 \\ \\ x=0\text{ and }(x+2)(x-2)=0 \\ \\ x=-2\text{ and }x=2\text{ and }x=0 \end{gathered}[/tex](3)
The equation is:
[tex]\begin{gathered} 12x^2+14x+12=18 \\ \\ 12x^2+14x+12-18=0 \\ \\ 12x^2+14x-6=0 \\ \\ 6x^2+7x-3=0 \\ \\ 6x^2+9x-2x-3=0 \\ \\ 3x(2x+3)-1(2x+3)=0 \\ \\ (2x+3)(3x-1)=0 \end{gathered}[/tex]So the value of "x" is:
[tex]\begin{gathered} 2x+3=0\text{ and }3x-1=0 \\ \\ x=-\frac{3}{2}\text{ and }x=\frac{1}{3} \end{gathered}[/tex](4)
[tex]\begin{gathered} -x^3+22x^2-121x=0 \\ \\ x(-x^2+22x-121)=0 \\ \\ x=0\text{ and }-x^2+22x-121=0 \\ \\ -x^2+22x-121=0 \\ \\ -x^2+11x+11x-121=0 \\ \\ -x(x-11)+11(x-11)=0 \\ \\ (x-11)(-x+11)=0 \\ \\ x=11\text{ and }x=11 \end{gathered}[/tex]So, the value of "x" is:
[tex]x=0\text{ and }x=11[/tex](5)
[tex]\begin{gathered} x^2-4x=5 \\ \\ x^2-4x-5=0 \\ \\ x^2-5x+x-5=0 \\ \\ x(x-5)+1(x-5)=0 \\ \\ (x-5)(x+1)=0 \\ \\ x=5\text{ and }x=-1 \end{gathered}[/tex]The value of x is:
[tex]x=5\text{ and }x=-1[/tex]Here are three angles which angle is greater than 90 degrees
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By definition:
1. A Right angle is an angle that measures 90 degrees.
2. An Obtuse angle is an angle whose measure is greater than 90 degrees.
3. An Acute angle is an angle whose measure is less than 90 degrees.
A Right triangle is formed when a a vertical line
Graph the equation and state its domain and range. Use interval notation.x^2 + y^2 = 4
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We know the the equation has the form of a circle, and that the center is in the coordinate (0,0) because c and w are not been modificated.
we also know that the radius of the circol will be:
[tex]r=\sqrt[]{4}=2[/tex]no with this information we can grph the equation:
Now in the graph we can see that x can just take values between (-2, 2) and y can take values of (-2, 2) so:
Domain: [-2, 2]
Range: [-2,2]
What are the coordinates for point A?A.(0, 1)B.(4, 5)C.(-4, 5)D.(5, -4)
Answers
To find the coordinates (x, y) of a point on a plane, we have to draw a line parallel to the y-axis and look at the value on the x-axis, this is the x-coordinate. In this case, the x-coordinate is -4.
Similarly, to find the y-coordinate, we have to draw a line parallel to the x-axis and look at the value on the y-axis. In this case, the y-coordinate is 5.
Therefore, the coordinates for point A are (-4, 5)
Answer: a
Step-by-step explanation:
Slove equation with variables on both sides4 - m = -1 + 4m
Answers
35 + 3x -11 =23 round the solution to two decimal places
Answers
You have the following equation:
35 + 3x - 11 = 23
In order to solve the previous equation for x, proceed as follow:
35 + 3x - 11 = 23 order terms left side
35 - 11 + 3x = 23 simplify like terms 35 and -11
24 + 3x = 23 subtract 24 both sides
3x = 23 - 24
3x = -1 divide by 3 both sides
x = -1/3
x ≈ -0.33
Hence, the solution for x is approximately -0.33
help me pleasee!!
thank you
Answers
Answer:
what population census
You deposit $5000 in an account earning 4% interest compounded monthly. How much will you have in the account in 15 years?
Answers
The amount of money in the account in 15 years for a deposit of $5000 at 4% interest rate is $9,101.51.
What is the accrued amount in the account in 15 years?The compound interest formula is used to calculate the growth of money using interest compounding.
Compound interest is expressed as;
A = P( 1 + r/n )^(n×t)
Where A is accrued amount, P is principal, r is interest rate and t is time.
Given the data in the question;
Principal P = $5000Interest rate r = 4%Compounded monthly n = 12Time t = 15 yearsAccrued amount A = ?First, convert the rate from percent to decimal.
Interest rate r = 4%
Interest rate r = 4/100
Interest rate r = 0.04
To determine the amount of money in the account in 15 years, plug the given values into the formula above and solve for A.
A = P( 1 + r/n )^(n×t)
A = 5000( 1 + 0.04/12 )^( 12 × 15)
A = 5000( 1 + 0.04/12 )^180
A = $9,101.51
Therefore, the accrued amount in 15 years is $9,101.51.
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QuestionThe graph below shows the graphs of several normal distributions, labeled A, B, and C, on the same axis. Determine which normal distribution has the smallest standard deviation.Three normal distribution curves.A figure consists of three curves along a horizontal axis, labeled Upper A, Upper B and Upper C. Curve Upper A is evenly spread out, curve Upper B is tall and the least spread out, and curve Upper C is short and more evenly spread out from the center.Select the correct answer below:ABC
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Curve B normal distribution has the smallest standard deviation.
What is Normal Distribution?The normal distribution describes a symmetrical plot of data around its mean value, where the width of the curve is defined by the standard deviation
Given,
Three normal distribution curves.
A figure consists of three curves along a horizontal axis, labeled Upper A, Upper B and Upper C.
Curve Upper A is evenly spread out,
curve Upper B is tall and the least spread out,
and curve Upper C is short and more evenly spread out from the center.
We need to find which curve shows low standard deviation.
Among the three curves, curve B has less width. Hence standard deviation will be small for curve B.
Hence curve B normal distribution has the smallest standard deviation.
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The school that Jill goes to is selling tickets to a play. On the first
day of ticket sales the school sold 6 senior citizen tickets and 2 child tickets
for a total of $50. The school took in $131 on the second day by selling 13 senior
citizen tickets and 10 child tickets. What is the price of one senior citizen
ticket and one child ticket?
Answers
In Linear equation, C = $4 for a child ticket .
What is a linear equation example?
Ax+By=C is the usual form for two-variable linear equations.As an illustration, the conventional form of the linear equation 2x+3y=5 When an equation is given in this format, finding both intercepts is rather simple (x and y).A linear equation is a first-order (linear) term plus a constant in the algebraic form y=mx+b, where m is the slope and b is the y-intercept.The variables in the previous sentence, y and x, are referred to as a "linear equation with two variables" at times.6S+ 2C = 50
13S+ 10C = 131
30S + 10C = 250
13S+ 10C = 131
subtract to eliminate one variable
17S = 119
S = 119/17
S = $7 for a senior ticket
2C = 50 - 6S = 50 - 6 * 7
= 50 - 42
2C = $8
C = $4 for a child ticket
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A principal of $500 is deposited in an account that pays 7% annual interest compounded yearly. Find thebalance after 10 years. Y=C(1+r)^t ( the t is floating btw)
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We can find the balance after t years in the account by means of the following formula:
[tex]Y=C(1+r)^t[/tex]Where C is the initial amount deposited in the account
r is the interest rate as a decimal number
t is the year
In this case, C equals $500, r is 0.07 (7%) and t equals 10.
Replacing these values into the above formula, we get:
[tex]Y=500(1+0.07)^{10}=983.6[/tex]Then the total amount of money in the account after 10 years equals $983.6
i need help i also put a screenshot
Answers
Answer:
6.2
Step-by-step explanation:
every minute 6.2 gallons fill into the pool.
Look at the sequence in the table. Which recursive formula represents the sequence shown?A) an = an-1 + 4C) an = 2an-1 + 3B) an = 4an-1 + 1D) an = 2an-1 - 1
Answers
Answer:
The recursive formula for the given sequence is;
[tex]a_n=a_{n-1}+4[/tex]Explanation:
Given the sequence;
[tex]1,5,9,13,17[/tex]The sequence above is an Arithmetic Progression AP.
Writing the recursive formula;
[tex]a_n=a_{n-1}+d[/tex]for the sequence, the common difference d is;
[tex]\begin{gathered} d=17-13=4 \\ d=4 \end{gathered}[/tex]The recursive formula will then be;
[tex]a_n=a_{n-1}+4[/tex]Find 2 positive numbers whose difference is 7 and whose is 294
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Lets name the two numbers x and y, so:
[tex]x-7=y[/tex]And
[tex]x\cdot y=294[/tex]Using the first in the second we have:
[tex]x(x-7)=294[/tex][tex]x^2+7x=294[/tex][tex]x^2+7x-294=0[/tex]Using the quadratic formula we get two values 14 and -21, the only one that satisfies both conditions is 14.
So the numbers are 14 and 21.
[tex]21-14=7[/tex][tex]21\cdot14=294[/tex]I need to solve for each part the part above the red line and the part under the red line please help QUICK
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So upper most rectangle area is given as,
[tex]\begin{gathered} \text{A}_1=\text{ length}\times breadth\text{ } \\ \text{A}_1=\text{ 8}\times2 \\ \text{A}_1=16\text{ sq.ft.} \\ A_2=\text{ (8-3)}\times6 \\ \text{A}_2=5\times6 \\ \text{A}_2=30\text{ sq.ft.} \end{gathered}[/tex]Help mee pleasee!!
thank you <3
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C(x) = 75 +0.25x is the function.
What is a function?A mathematical phrase, rule, or law that establishes the link between an independent variable and a dependent variable (the dependent variable). A relation between a collection of inputs and outputs is known as a function. A function is, to put it simply, a relationship between inputs in which each input is connected to precisely one output. Each function has a range, codomain, and domain.
Given Data
A $75 setup fee for formatting and editing is included in the price of creating a newsletter and $0.25 for each copy that is printed.
If there are x copies, then
Function:
C(x) = $75 +0.25x
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-[tex]\frac{12}{7}[/tex]-[tex]\frac{11}{8}[/tex]
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LCD( lowest common denominator is 56)
[tex] - \frac{12 \times 8}{7 \times 8} - \frac{11 \times 7}{8 \times 7} \\ = - \frac{96}{56} - \frac{77}{56} \\ = - \frac{ 173}{56} [/tex]
ATTACHED IS THE SOLUTION
Determine which expression is equivalent to the expression 3 over 4 times g minus 6 minus 7 over 8 times g minus the expression one over 2 times g plus 13.
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The expression that is equal to the given expression is [tex]-\frac{5g+100}{8}[/tex]
A mathematical expression that uses integer variables, constants, and algebraic operations is known as an algebraic expression (addition, subtraction, multiplication, division, and exponentiation by a rational exponent).
However, transcendental numbers like such and e are not algebraic because they are not created by employing integer constants and algebraic processes.Although an unlimited number of mathematical functions are required to define e, the creation of is typically stated as a geometric equation.the given expression is:
[tex]\frac{3}{4} g -6-\frac{7}{8} g-\frac{1}{2} (g+13)[/tex]
Simplifying the expression we get
[tex]\frac{6g-48-7g-4g-52}{8} \\\\=-\frac{5g+100}{8}[/tex]
Therefore on simplification using the general operations of fractions and integers we get that the expression is equivalent to [tex]-\frac{5g+100}{8}[/tex] .
The properties of fractions and expressions are used in this simplification.
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Two sides of a ∆ have lengths 28cm and 82 cm. The measure of the third side is a whole number of centimeters. • What is the longest the third side can be? • What is the shortest the third side can be?
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You need to remember the Triangl inequality Theorem. This states that
Let be "a", "b" and "c" the sides of a triangle. According to the Theorem mentioned above:
[tex]\begin{gathered} a+b>c \\ b+c>a \\ a+c>b \end{gathered}[/tex]In this case, knowing two sides of the triangle, you can set up that:
[tex]\begin{gathered} a=28\operatorname{cm} \\ b=82\operatorname{cm} \end{gathered}[/tex]Let be "c" the third side of this triangle. You know that:
[tex]\begin{gathered} 28\operatorname{cm}+82\operatorname{cm}>c \\ 110\operatorname{cm}>c \end{gathered}[/tex]Therefore, as you can notice, the third side can be less than 110 centimeters.
Based on the explained before, you can conclude that the third side can be:
[tex]\begin{gathered} c<110\operatorname{cm} \\ \end{gathered}[/tex]And it can be:
[tex]\begin{gathered} c>82\operatorname{cm}-28\operatorname{cm} \\ c>54\operatorname{cm} \end{gathered}[/tex]The answers are:
- The longest the third side can be is:
[tex]109\operatorname{cm}[/tex]- The shortest the third side can be is:
[tex]55\operatorname{cm}[/tex]Solve for x.4(x-5)-5-6x+5-4x
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Given:
[tex]4\left(x-5\right)-5-6x+5-4x[/tex]To find:
Solve for x
Explanation:
Using the distribution property,
[tex]4\left(x-5\right)-5-6x+5-4x=4x-20-5-6x+5-4x[/tex]Adding or subtracting the like terms with respect to the sign, we get
[tex]-6x-20[/tex]Final answer:
The simplest form is,
[tex]-6x-20[/tex]The laminated block consists of a layer of wood between two layers of plastic. If each plastic layer is one-third as thick as the wooden layer, and the thickness of each layer is an integer, what is one possible height of a stack of such blocks? A. 18 B. 33 C. 42 D. 45
Answers
The possible height of a stack of such laminated blocks is 45
How to determine the possible height of the laminated blockinformation given in the question
each plastic layer is one-third as thick as the wooden layer
the thickness of each layer is an integer
The laminated block has three layers
2 plastic layers and one wooden layer
let the thickness of the plastic layer be x
such that the thickness of the wooden layer = 3x
the total thickness
= x + x + 3x
= 5x
for x to be an integer it is a multiple of 5. the only multiple of five in the options is D hence the answer
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This is a math problem that involves finding the height of a stack of laminated blocks. Let’s try to solve it together.
First, we need to find the thickness of each layer in a single block. Let x be the thickness of the wooden layer in centimeters. Then, each plastic layer is one-third as thick as the wooden layer, so it has a thickness of 3x centimeters. The total thickness of one block is the sum of the thicknesses of all three layers, which is x+3x+3x=35x centimeters.
Next, we need to find the number of blocks in a stack. Since the thickness of each layer is an integer, we can assume that the thickness of one block is also an integer. Therefore, we can divide the height of the stack by the thickness of one block to get the number of blocks. Let h be the height of the stack in centimeters, and n be the number of blocks. Then, we have n=35xh=5x3h.
Finally, we need to check which of the given options for h satisfies the condition that n is also an integer. We can do this by plugging in each value of h and simplifying the fraction 5x3h. If the fraction has no remainder, then n is an integer.
Option A: h=18. Then, 5x3h=5x3(18)=5x54. This fraction has a remainder of 4 when divided by 5, so n is not an integer.
Option B: h=33. Then, 5x3h=5x3(33)=5x99. This fraction has a remainder of 4 when divided by 5, so n is not an integer.
Option C: h=42. Then, 5x3h=5x3(42)=5x126. This fraction has no remainder when divided by 5, so n is an integer. For example, if x = 3, then n = 5(3)126=15126=8.4.
Option D: h=45. Then, 5x3h=5x3(45)=5x135. This fraction has no remainder when divided by 5, so n is an integer. For example, if x = 6, then n = 5(6)135=30135=4.5.
Therefore, one possible height of a stack of such blocks is 42 centimeters or 45 centimeters. Option C and option D are both correct answers.
The value of the 3 in 395,047 is
£10 times greater than the value of the
3 in which of these numbers
386592
283429
136258
123694
Answers
The value of the 3 in 395,047 is 10 times greater than the
value of the 3 in 136,258.
What is the place value of a number?
In mathematics, place value refers to a digit's location within a number. A number has a slot for each digit. The placement of each digit will be enlarged when we represent the number in general form. These positions begin at the unit place, often known as the individual's position. Units, tens, hundreds, thousands, ten thousand, one hundred thousand, and so on are the place values of a number's digits from right to left.
Given, the number in consideration is 395,047.
The place value of 3 in the given number is hundred thousands.
A value 10 times smaller than this given number must have three in the ten thousands place.
Out of 386592, 283429, 136258, 123694; only 136258 has three in ten thousands place.
Therefore, the value of the 3 in 395,047 is 10 times greater than the
value of the 3 in 136,258.
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help me please
thank you
Answers
Answer:
Domain: [tex](-\infty, \infty)[/tex]
Range: [tex][0, \infty)[/tex]
Step-by-step explanation:
The domain is the set of x-values and the range is the set of y-values.
Solve for h
The height is ____ cm
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[tex]V=\cfrac{Bh}{3} ~~ \begin{cases} V=216\\ B=36 \end{cases}\implies 216=\cfrac{36h}{3} \\\\\\ 216=12h\implies \cfrac{216}{12}=h\implies 18=h[/tex]
pls help me ty i feel this should be easy
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The value of x and y if [tex]T_{(-2,7)}(x,y)=(3,-1)[/tex] are 5 and - 8 respectively.
When a figure is relocated from one place to another without changing its size, shape, or orientation, a transition known as translation takes place.
We have,
[tex]T_{(-2,7)}(x,y)[/tex] = ( 3, - 1 )
The translation of T( - 2, 7 ) acts in the way as:
[tex]T_{(-2,7)}(x,y)[/tex] = ( x - 2, y + 7 )
Now, it is given that:
[tex]T_{(-2,7)}(x,y)[/tex] = ( x - 2, y + 7 ) = ( 3, - 1 )
Comparing the points,
We have,
x - 2 = 3
Adding 2 on each side of the equation,
x - 2 + 2 = 3 + 2
x = 5
And;
y + 7 = - 1
Subtracting 7 from each side of the equation,
y + 7 - 7 = - 1 - 7
y = - 8
Hence, the value of x and y are 5 and - 8 respectively.
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Around answer to 1 decimal place.
Answers
Answer:
x ≈ 5.5 cm
Step-by-step explanation:
using the sine ratio in the right triangle
sin37° = [tex]\frac{opposite}{hypotenuse}[/tex] = [tex]\frac{x}{9.1}[/tex] ( multiply both sides by 9.1 )
9.1 × sin37° = x , then
x ≈ 5.5 cm ( to 1 dec. place )
Which sum or difference is modeled by the algebra tiles?
Answers
The most appropriate choice of Quadratic equation will be given by
Second option is correct
What is quadratic equation?
At first it is important to know about equation
Equation shows the equality between two algebraic expressions by connecting the two algerbraic expressions by an equal to sign.
A two degree equation is known as quadratic equation.
Here,
In the upper row, there are one tile of [tex]-x^2[/tex], two tiles of [tex]-x[/tex] and four tiles of 1
Required equation = [tex]-x^2[/tex][tex]-2x[/tex] + 4
In the lower row, there are one tile of [tex]-x^2[/tex], two tiles of [tex]-x[/tex] and 1 tiles of -1
Required equation = [tex]-x^2[/tex][tex]-2x[/tex] -1
( [tex]-x^2[/tex][tex]-2x[/tex] + 4) + ( [tex]-x^2[/tex][tex]-2x[/tex] -1) = [tex]-2x^2 -4x + 3[/tex]
Second option is correct
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the angle of elevation for the first Hill of a roller coaster is 55°. If the length of the track from the beginning to the highest point is 98 ft what is the approximate height of the roller coaster when it reached the top of the first Hill? options, 80 ft, 98 ft, 56 ft, 43 ft
Answers
Using trigonometric property in the figure,
[tex]\sin \theta=\frac{opposite\text{ side}}{hypotenuse}[/tex][tex]\begin{gathered} \sin \text{ }55^{\circ}=\frac{h}{98\text{ }} \\ h=98\times\sin 55^{\circ} \\ \cong80\text{ ft} \end{gathered}[/tex]Here, h is the height of the hill.
Therefore, the approximate height of the of the roller coaster when it reached the top of the first Hill is 80 ft.
Option A is the answer.
Factor the polynomial if possible. If the expression cannot be factored enter
Answers
x^2 -19x + 88
Replace -19x by -8x -11x
x^2 -8x - 11x + 88
Common factor of both pairs:
x (x-8) - 11(x-8)
Write in factor form
(x-11) (x-8)
Please help ASAP questions and answer selection in screenshot
Answers
The domain of the function consists of all real numbers greater than 0.
What is a domain?A domain can be defined as the set of all real numbers for which a particular function is defined. This ultimately implies that, a domain is the set of all possible input numerical values to a function and the domain of a graph comprises all the input numerical values which are shown on the x-axis.
Next, we would determine the function which models the amount of gas as follows:
Function, f(x) = rate × x
Function, f(x) = 2.25 × x
Function, f(x) = 2.25x
Based on the function above, we can reasonably and logically deduce that the amount of gas cannot be negative. Therefore, the domain of this function is given by:
Domain = [0, ∞]
In conclusion, the domain is equal to all real numbers that are greater than zero (0).
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