The expression does not represent next year's population is 0.991. The correct option is A.
What is an expression?The mathematical expression combines numerical variables and operations denoted by addition, subtraction, multiplication, and division signs.
Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also denote the logical syntax's operation order and other properties.
Given that the population of a city decreases by 0.9% per year. The expression for the population depreciation is,
Population = ( 100% - 0.9%)P
Population = (1 - 0.009)P
Population = 0.991P
Hence, the expression not representing the depreciation is 0.991.
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How do you write 0.0912 in scientific notation?
Therefore , the solution of the problem of expression comes out to be
9.12 x 10 ^-2.
How does one select expression?An algebraic expression must be checked via replacing each variable with a number and performing arithmetic operations. In the example above, the answer variable is comparable to 6, since 6 + 6 equal 12. If we know the values of the variables, we can replace them with those values and evaluate the expression.
Here,
Given : 0.0912 in scientific notation
=> 9.12 /100
By using scientific notation
=> 9.12 × 10^-2
=> 9.12 x 10 ^-2
So, we get 9.12 x 10 ^-2 as the scientific notation for the given expression
Therefore , the solution of the problem of expression comes out to be
9.12 x 10 ^-2.
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What is the domain of f(x)=[1/2]*
Here we need to find the domain of the given function.
We will see that the domain is the set of all real numbers.
The first thing we need to do is to define the domain of a function.
For a given function f(x), we define the domain as the set of possible inputs that we can use on the function.
Usually, we start by defining the domain as the set of all real numbers and then remove from the domain the numbers that cause "a problem" with our function.
Where these "problems" are undefined operations, like the logarithm of a negative number or a zero in a denominator.
Particularly, in our function: f(x) = (1/2)^x
We do not have a denominator that can become zero nor a function that has problems with some given values of x (the exponent of a number can be any real number).
Concluding, because there is no problem with any real value, we can see that the domain is the set of all real numbers
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Simplify in radical form:
-x√28+10√63x²
Radical form is rather simple. It refers to the form of a number or algebraic expression where the number or expression is contained under a radical. The answer is [tex]$-8 \sqrt{2} x+30 \sqrt{6} x^2$[/tex].
What does in radical form mean?Simply put, simplifying a radical eliminates the need to find any more square roots, cube roots, fourth roots, etc. when expressing it in its simplest radical form. Additionally, it entails eliminating any radicals from the denominator of a fraction.
A radical notation is an expression that makes use of a root, such as the square or cube root.
The fundamentals of radical form are simple. When a numerical or algebraic expression is under a radical, the term refers to that version of the expression. To improve that, we can manipulate a number or an algebraic expression in radical form to convert it to simplest radical form.
[tex]\text { Simplify }-x \sqrt{2} 8+10 \sqrt{6} 3 x^2:-\\\\8 \sqrt{2} x+30 \sqrt{6} x^2 -x \sqrt{2} \cdot 8+10 \sqrt{6} \cdot 3 x^2 \\\\& =-8 \sqrt{2} x+30 \sqrt{6} x^2\end{aligned}$$[/tex]
Therefore, the answer is [tex]$-8 \sqrt{2} x+30 \sqrt{6} x^2$[/tex].
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pls help last test of semester half my grade please complete entire table i give brainliest
Write an equation of the line that passes through (-3,3) and is perpendicular to the line 2y = 8x - 6
The equation of line that passes through (-3,3) and is perpendicular to 2y = 8x - 6 is y = (-1/4)x + 9/4.
What is the equation of line that passes through (-3,3) and is perpendicular to 2y = 8x - 6?The slope-intercept form is expressed as;
y = mx + b
Where m is slope and b is the y-intercept.
Given the equation of the original line.
Write in slope intercept form
2y = 8x - 6
y = 8x/2 - 6/2
y = 4x - 3
Using the slope intercept, slope m is 3.
The equation of a perpendicular line to 2y = 8x - 6 must have a slope that is the negative reciprocal of the original slope.
Slope of perpendicular line = -1 / ( 4 )
Slope of perpendicular line = -1/4
Plug the slope m = -1/4 and point (-3,3) into point-slope formula and simplify.
( y - y₁ ) = m( x - x₁ )
( y - 3 ) = (-1/4)( x - (-3) )
( y - 3 ) = (-1/4)( x + 3 )
y - 3 = (-1/4)x - 3/4
y = (-1/4)x - 3/4 + 3
y = (-1/4)x + 9/4
Therefore, the equation of the perpendicular line is y = (-1/4)x + 9/4.
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How to solve this problem?
The geometry object known as a line extends on both sides and is defined as an object with zero width. Any line without curves is said to be straight.
What is a straight line called?An object with zero width that extends on all sides is referred to as a line in geometry. Simply put, a straight line is an uncurved line. As a result, a straight line is one without any curves that stretches to infinity on both sides.
A line is a perfectly straight, one-dimensional shape that is endlessly long and thin in both directions. A line may be referred to as a straight line or, more formally, a right line (Casey 1893), to stress that there are no "wiggles" throughout its entire length.
y=mx+c
Definition. Y=mx+c is the formula for a straight line. m is the gradient and c is the height, commonly known as the y-intercept, at where the line crosses the y-axis in the equation y = m x + c.
[tex](b) $\because$ perpendicular makes an angle of $60^{\circ}$ with the line $x+y=0$.$\therefore$ the perpendicular makes an angle of $15^{\circ}$ or $75^{\circ}$ with $x$-axis.[/tex]
[tex]Hence, the equation of line will be $x \cos 75^{\circ}+y \sin 75^{\circ}=4$or $x \cos 15^{\circ}+y \sin 15^{\circ}=4$$(\sqrt{3}-1) x+(\sqrt{3}+1) y=8 \sqrt{2}$or $\quad(\sqrt{3}+1) x+(\sqrt{3}-1) y=8 \sqrt{2}$[/tex]
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Write the expression as a number in scientific notation.
the quantity 4.2 times ten to the fifth power end quantity times the quantity 1.5 times ten to the negative eighth power end quantity all divided by the quantity 2.5 times ten to the negative fourth power end quantity
2.52 × 10−1
2.52 × 101
3.2 × 10−7
3.2 × 107
On solving the provided question, we can say that - the answer of the following equation is = [tex](4.2 X 10^5)(1.5 X 10^3) / 2.5 X 10^4[/tex] = 25.2
What is equation?An equation is a formula in mathematics that joins two statements with the equal symbol = to represent equality. The definition of an equation in algebra is a mathematical statement proving the equality of two mathematical expressions. In the equation 3x + 5 = 14, for instance, the terms 3x + 5 and 14 are separated by an equal sign. The link between two phrases on either side of a letter is expressed mathematically. There is often only one variable, which is also the symbol. instance: 2x - 4 Equals 2.
[tex](4.2 X 10^5)(1.5 X 10^3) / 2.5 X 10^4[/tex]
630000/25000
25.2
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Kana tried to solve the system of equations below. She says there are no solutions. Is Kana correct? Explain your reasoning.
The solution for the given system of equations:
x = 6 and y = 6.
Kana is incorrect about the solutions of the given equations.
What are algebraic properties?Algebraic expressions and equations follow the same set of rules as numerical expressions and equations. The order of operations is preserved, and the laws governing addition and multiplication still apply.
Associative: a + ( b + c ) = ( a + b ) + c , a ( b c ) = ( a b ) c
Identity: a + 0 = a , a ⋅ 1 = a
Inverse: a + ( − a ) = 0 , a ⋅ 1 a = 1
Distributive: a ( b + c ) = a b + a c
Given equations,
4x-2y=12 -----(a)
2x+2y=24 -----(b)
Multiplying -2 to the equation (b) like kana solution
-2 (2x+2y=24 )
By Distributive property
-2(2x+2y) = -2(24)
- 4x - 4y = - 48 ---------(c)
Now adding equation (a) and equation(c)
4x - 2y = 12
- 4x - 4y = - 48
__+___+____+__
- 6y = -36
⇒ y = 36/6 = 6.
Putting value of y in equation (b).
2(x) + 2(6) = 24
2x + 12 = 24
2x = 24 - 12
2x = 12
x =12/2 = 6
By the above calculation,
Value of x = 6 and
value of y = 6.
Hence, for the system of equations given
the solutions are:
x = 6 and y = 6
which proves that Kana is incorrect that there are no solutions.
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Please need help asap, 50 points!!!!!!!!!!!!!!!!!!!!!!!!!!
Decide whether the triangles can be proven congruent by the given postulate or theorem. If not, state what information is needed.
17. The triangles can be proven congruent by the SSS theorem.
18. The triangles cannot be proven congruent by the HL theorem, as it is not known if the triangles are right triangles.
What are the congruence theorems?The side-side-side congruence theorem, abbreviated as SSS, means that if two triangles have three equal side lengths, then the triangles are congruent.
In item 17, we have that:
Sides JK and IH are equal.Sides JI and HY are equal.Side JH is common to both triangles, hence they are equal.As the three triangles are equal, then the SSS theorem can be used to prove the congruence of the two triangles.
The HL theorem represents the hypotenuse and leg theorem, which means that if two right triangles share a hypotenuse measure along with a leg measure, then they are congruent.
Hence item 18 cannot be proven congruent by the HL theorem, as there is no information regarding whether the triangles are right triangles.
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if α and β are the zero of polynomial p(x) = 3x^2 +2x + 1, find the polynomial whose zeroes are 1-α /1+α and 1-β/1+β.
Therefore , the solution of the given problem of function comes out to be 2.
Function DefinitionA function connects various inputs together or produces a single output from each input. Simply explained, a function is a collection of equations that are linked to a single, identifiable output. A statement, rule, or law which explains the connection between two variables is known as a function in mathematics (the dependent variable). When a rule of this type is applied, there is just one output. by photographer Alex Federspiel.
Here,
=> (1−α)(1−β)(1+α)(1+β)
=>(1−α−β+αβ) /(1+α+β=αβ)
=> (1−(α+β)+αβ ) / ( 1+(α+β)+αβ)
=>(1 + 2/3 + 1/3 )/ (1 -2/3 + 1/3)
=> 2 x 3 /2 =3
=> (1−α)(1+β)+(1−β)(1+α) / (1+α+β+αβ)
=> 3(2−2αβ)/2
=>3(1−αβ)
=>3(1− 1/3 )
=>2
Therefore , the solution of the given problem of function comes out to be 2.
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The vehicle's fuel efficiency is no less than 35 miles per gallon and I have fuel efficiency of eight new cars so what is the percentage of these cars? The fuel efficiency of the new cars is 42, 16, 54, 13, 31, 23, 13, 27
37.5% of the cars have a fuel efficiency of at least 35 miles per gallon.
What is the Percentage of Cars?To find the percentage of cars that have a fuel efficiency of at least 35 miles per gallon,
We first need to determine how many of the eight cars meet that threshold.
To do this, we can compare each car's fuel efficiency to 35 miles per gallon, and count the number that is greater than or equal to 35.
Identify the cars that have a fuel efficiency of at least 35 mpg: 42, 42, 54,
count the number of cars which is 3
divide it by 8 which is the total number of cars
Multiply the result by 100 to get the percentage, so:
3/8 * 100 = 37.5%
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Reagan went to the playground. She played on the swings for 24 minutes and went on the slide for 13 minutes. It was 4:28 P.M. when Reagan left the playground. What time was it when Reagan arrived at the playground?
Answer:
If she played on the swings for 24 minutes and on the slide for 13, then she was at the playground for 37 minutes.
If she left the playground at 4:28, then you want to subtract 37 minutes from 4:28.
4:28 - :37 = 3:51.
She arrived at the playground at 3:51
Step-by-step explanation:
Hope it helps! =D
Answer:
3:51 p.m.
Step-by-step explanation:
Add the two amounts of time:
24 minutes + 13 minutes = 37 minutes
She was at the park for 37 minutes. She arrived at the park 37 minutes before 4:28 p.m.
Now we subtract 37 minutes from 4:28 p.m.
Remember that 1 hour = 60 minutes, so when you borrow 1 hour to do the subtraction, you add 60 minutes to the minutes of the time of day.
Borrow 1 hour from 4 hours as 60 minutes. You end up with 3 hours. Then add the 60 minutes to the 28 minutes to get 88 minutes.
4:28 p.m. is the same as 3:88 p.m.
4:28 p.m. 3:88 p.m.
- 0:37 -----> - 0:37
------------------- -------------------
3:51 p.m.
Answer: 3:51 p.m.
Beginning from a depth of 35 feet below the surface, a whale swims upward and jumps to a height of less than 17 feet above the surface. Use an inequality to model the possible change in the number of feet, r, of the whale's elevation.
Answer:
R=17
Step-by-step explanation:
R=17
It says the whale has swam upwards and jumps to a heigh less then 17 and it says model the possible change in the number of feet, (R)
Thus R=17 Will Be correct
Minimum or maximum value
The minimum is the smallest value in the data set. The maximum is the largest value in the data set.
To find the minimum or maximum value of a function:We will set the first derivative of the function to zero and solve for x to get the critical point. If we take the second derivative or f''(x), then we can find out whether this point will be a maximum or minimum. If the second derivative is positive, it will be a minimum value.
A minimum or a maximum is called an extreme point. A local extreme point is the smallest or largest value in its neighborhood. If it is also the smallest or largest at the entire domain of the function, it is called a global extreme point. The local minima and maxima can be found by solving f'(x) = 0.
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Complete question is: What is the difference between Minimum or maximum value?
Which expression is equivalent to 5-3(x+2)?
A. -3x - 1
B. -3x+10
C. 2x + 4
D. 2x-6
Please help
Which poly nominal has the zeros 1,-2i and 3
The polynomial has the zeros 1,-2i and 3 is = x³ - 5x² + 11x -15.
What does a polynomial in mathematics mean?A polynomial is an equation made up of variables, constants, and exponents that are mixed using mathematical operations including addition, subtraction, multiplication, as well as division (No division operation by a variable).
How can you recognize a polynomial?A polynomial function is a function that only uses non-negative numeric powers or only positive integer exponents of something like a variable in an equation, such as the quadratic equation, cubic equation, etc. As an illustration, the polynomial 2x+5 has an exponent of 1.
According to the given information:given zeros are 1-2i and 3 .
The polynomial function p(x) is
[x - (1+2i)] × [x - (1 - 2i)] × (x - 3)
[(x - 1) - 2i] × [(x - 1) + 2i] × (x - 3)
[(x - 1)² - (2i)² × (x - 3)]
∴ (x² - 2x + 1 + 4)(x - 3)
∴ (x² - 2x + 5)(x - 3)
The polynomial has the zeros 1,-2i and 3 is = x³ - 5x² + 11x -15.
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i need help please i dont get this
Answer:
See attached
Step-by-step explanation:
You want the solution to the inequality -12x < -48 shown on a number line.
SolutionThe solution to the inequality is found by dividing by the x-coefficient
-12x < -48
x > 4 . . . . . . . divide by -12
When working with inequalities, you need to know that multiplying or dividing by a negative number reverses the inequality symbol.
GraphThe value x=4 is not included in the solution set, so an open circle is plotted at that point. All values of x greater than x=4 are included in the solution set, so the number line is shaded to the right of the open circle.
The graph of the solution is shown in the attachment.
__
Additional comment
Often, you can avoid multiplying or dividing an inequality by a negative number by rearranging it. Here, adding 12x+48 to both sides makes it be ...
48 < 12x
Now, you can divide by 12 without worrying about the inequality symbol:
4 < x . . . . . same as above
The relative frequency table below displays the proportion of colors of cars for sale at a dealership.
What proportion of cars are yellow?
0.04
0.1
0.15
0.4
Proportion of cars which are yellow -
= 1 - (0.24 + 0.20 + 0.15 + 0.12 + 0.15 + 0.10)
= 1 - 0.96
= 0.04
Answer:
A) 0.04
Step-by-step explanation:
edge 2023
50 POINT ANSWER (screenshot attached)
Step-by-step explanation:
x + 6y = 8 ........... ( ×2 ) ....... ( 1 )
2x + 4y = -8 ......... ( × 1 ) ....... ( 2 )
2x + 12y = 16
- - -
2x + 4y = -8
+12y - ( +4y ) = 16 - 8
12y - 4y = 8
8y = 8
divide both sides by the coefficient of y ( 8 )
8y / 8 = 8 / 8
y = 1
substitute for x in equation ( 1 )
x + 6y = 8
x + 6 ( 1 ) = 8
x + 6 = 8
x = 8 - 6
x = 2
x = 2 , y = 1
please please help me Please help for my math rpoject!!!!!
a. The table for the relation is given by the image shown at the end of the answer.
b. The domain and range of the relation are given as follows:
Domain: {0, 1, 2, 3, 4, ...}.Range: {0, 0.75, 1.5, 2.25, ...}.c. The relation is a function, as it value of the input is mapped to a single value of the output.
How to represent the situation?The ratio between the total cost and the number of vehicles is obtained as follows:
k = 3.75/5 = 3/4 = ... = 0.75/1 = 0.75.
Meaning that the situation is modeled by a proportional relationship with a constant of 0.75, and the function is given as follows:
y = 0.75x.
For which:
x is the number of cars.y is the total cost.The domain and range are given as follows:
Domain: {0, 1, 2, 3, 4, ...}. -> possible amounts of cars.Range: {0, 0.75, 1.5, 2.25, ...}. -> possible prices.More can be learned about proportional relationships at https://brainly.com/question/10424180
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What is the equation of the least squares regression line for the data set?
The equation of the least squares regression line for the data set is (b) ŷ = -2.984x + 112.38
How to determine the equation of the least squares regression line for the data setFrom the question, we have the following parameters that can be used in our computation:
Volunteer 15 11 22 35 18 41 27 18
Trees 77 99 4 11 44 14 2 90
Using a graphing calculator, we have the following calculation summary
Sum of X = 187Sum of Y = 341Mean X = 23.375Mean Y = 42.625Sum of squares (SSX) = 741.875Sum of products (SP) = -2213.875The regression equation is represented as
ŷ = bX + a
Where
b = SP/SSX = -2213.88/741.88 = -2.98416
a = MY - bMX = 42.63 - (-2.98*23.38) = 112.37978
So, we have
ŷ = -2.98416X + 112.37978
Approximate
ŷ = -2.984x + 112.38
Hence, the equation is ŷ = -2.984x + 112.38
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A taxi driver charges a $2 fee plus an additional $4 per mile as shown by the graph. What is the cost of a 1-mile ride?
The cost of a one mile ride is given as follows:
$6.
How to model the situation?The cost per mile is constant, hence a linear function is used to model the situation.
The slope-intercept definition of a linear function is given as follows:
y = mx + b.
In which the coefficients are given as follows:
m is the slope, representing the cost per mile.b is the intercept, representing the basic fee.A taxi driver charges a $2 fee plus an additional $4 per mile, hence the slope and the intercept are given as follows:
m = 4, b = 2.
Thus the function that gives the cost for a x mile ride is:
y = 4x + 2.
The cost for a one mile ride is of:
y = 4(1) + 2 = $6.
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Matt concluded that the system whose graph is showing has no solution. Is he correct? Explain your reasoning
Therefore, the result of the above linear equation problem's solution is hence The lines do not intersect, hence there are no solutions and an inconsistent system.
We define a linear equation.In algebra, a linear equation is one that of the form y=mx+b. The slope is B, and the y-intercept is m. Since y and x are variables, the previous sentence is frequently referred to as a "linear equation with two variables." Bivariate linear equations are linear equations with two variables. Linear equations can be found in many places, including 2x - 3 = 0, 2y = 8, m + 1 = 0, x/2 = 3, x + y = 2, and 3x - y + z = 3. When an equation has the structure y=mx+b, where m denotes the slope and b the y-intercept, it is referred to as being linear.
Here,
The lines in this system have the same slope even though the values of b vary.
This indicates the parallel lines.
The lines do not intersect, hence there are no solutions and an inconsistent system.
Since the lines are different, the equations are independent.
The result of the above graph problem's solution is hence The lines do not intersect, hence there are no solutions and an inconsistent system.
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Help!! Factor the common factor out of each expression
Therefore , the solution of the given problem of equation comes out to be factor is (5b)(-5b+3).
What is the equation?A formula for connecting two statements using the equal sign (=) to denote equivalence is known as a mathematical equation. A mathematical equation in algebra is a statement that proves the equality of two mathematical expressions. For instance, the formula 3x + 5 = 14 places an equal sign between the variables 3x + 5 and 14. The mathematical relationship between the two sentences on either side of a letter is established. Most of the time, the symbol serves as both the one and only variable. for instance, 2x – 4 = 2.
Here,
the two numbers' primary factors are as follows:
-25[tex]b^{2}[/tex] + 15b
Common prime factors can be multiplied to determine the GCF:
=> -25[tex]b^{2}[/tex] = -(5)(5) * [tex]b^{2}[/tex]
=> 15b = (5)(3)b
The expression can be factored in the following fashion because the GCF is 5b:
=> -(5)(5) * [tex]b^{2}[/tex] + (5)(3)b
=> (5b)(-5b+3)
Therefore , the solution of the given problem of equation comes out to be factor is (5b)(-5b+3).
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Can someone pls tell me how to do this?
Simplify (5y)³
Answer: 125y³
To rise a product to a power, rise each factor to that power:
(5y)³ = 5³y³ = 125y³
Rounded to the nearest inch what is the circumference of a circle with a radius of 15 inches
Answer:
95.25 or 95
Step-by-step explanation:
[tex]C=2\pi r[/tex]
C = 2 x [tex]\pi[/tex] x 15 = 94.24778in = 94.25 or 95
Hope I helped you my dear friend.
Evaluate m - 16 when m = 30
[tex]m-16[/tex] when m is 30
Substitute for m with given value:
[tex](30)-16[/tex]
[tex]=\fbox{14}[/tex]
Answer:
Step-by-step explanation:
a.we can get the equation is m-16 = 30-16=10+20-10-6=10-6+20-10=4+10=14
answer is 14
A survey asks 50 students how many people live i their home and whether they love with a grandparent. A total of 10 students live with a grandparent. Of the 16 students with more than four people living in their home, 6 live with a grandparent. Which two-way table represents the results of the survey?
Answer:A two-way table, also known as a contingency table, is a way to organize and present categorical data in a tabular format. It can be used to show the relationship between two categorical variables, such as whether a student lives with a grandparent and the number of people who live in their home.
Based on the information you provided, the two-way table would look like this:
More than 4 people | 6 | 10
4 or fewer people | 4 | 30
It should be noted that the information you provided does not add up to 50 students.
Total for students living with grandparents: 10,
Total for students with more than 4 people: 6+10 =16.
Let me know if this table is incorrect and I'll provide you with more information
Step-by-step explanation:
PLS HELP ME!!!
COSINE RULE I THINK!!
please explain in some detail and will mark brainliest
Answer:
Step-by-step explanation:
if there is any triangle ABC and a,b,c are sides opposite angles A,B,C respectively , then
[tex]cos~A=\frac{b^2+c^2-a^2}{2bc} \\cos~B=\frac{c^2+a^2-b^2}{2ca} \\cos~C=\frac{a^2+b^2-c^2}{2ab}[/tex]
B=101
a= 3 cm
b=y
c=1 cm
use formula for cos B
cos 101=cos(90+11)=sin 11
[tex]-sin~11=\frac{1^2+3^2-y^2}{2 \times 3 \times 1} \\-6 \times sin~11=1+9-y^2\\y^2=10+6~sin~11\\y^2\approx 10+6\times 0.1908\\y^2 \approx11.1448\\y\approx3.338[/tex]
Answer:
2.16
Step-by-step explanation:
To find the length y:
Since we have an angle with two sides next to it, it is 'cosy', so we can use the cosine rule to find y. Let's make y = a for the formula.
Using the cosine formula:
a^2 = b^2 + c^2 - 2bc cos(A)
where b=1, c=3 and A=101
substitute these values in the formula:
a ^2 = 1^2 + 3^2 - 2(1)(3) × cos(101)
a ^2 = 4.647970...
Square root to find a:
a = √4.647970...
a = 2.16
thus, y = 2.16 to 3sf
how much does each nested cart add to the length of the row?
Each nested cart add to the length of the row is 1.5 feet long.
What is the unitary method?The unitary method is a technique for solving a problem by first finding the value of a single unit, and then finding the necessary value by multiplying the single unit value.
Given that, the store measured a row of 13 nested carts to be 23.5 feet long, and a row of 18 nested carts to be 31 feet long.
Each row has a starting cart that is 4 feet long, and the nested carts are next to it.
It is measured that a row of 13 nested carts has a length of 23.5 feet.
Therefore, the original length of 13 nested carts is (23.5 - 4) = 19.5 feet.
So, each nested cart add to the length of the row 19.5/13 =1.5 feet
Again, a row of 18 nested carts to be 31 feet long.
Therefore, the actual added length of 18 nested carts is (31 - 4) = 27 feet.
So, each nested cart add to the length of the row 27/18 =1.5 feet
Therefore, each nested cart add to the length of the row is 1.5 feet long.
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"Your question is incomplete, probably the complete question/missing part is:"
A store is designing the space for rows of nested shopping carts. Each row has a starting cart that is 4 feet long, followed by the nested carts (so 0 nested carts means there's just the starting cart). The store measured a row of 13 nested carts to be 23.5 feet long, and a row of 18 nested carts to be 31 feet long.
How much does each nested cart add to the length of the row?