There are a total of 2. 1 x 10 to the 6 power vehicles registered in New York City These are distributed among the 5 boroughs of the city. What is the average number of vehicles registered in each borough of NYC? Give your answer in scientific notation

1. The all possible divisions of s, there exists a value k such that xy⁰z is not in L₁,  Hence, L₁ is not regular.

2.The all possible divisions of s, there exists a value k such that xy⁰z is not in L₂. Hence, L₂ is not regular.

3.The all possible divisions of s, there exists a value k such that xy⁰z is not in L₃,  Hence, L₃ is not regular.

4.The all possible divisions of s, there exists a value k such that xy⁰z is not in L₄, Hence, L₄ is not regular.

Let's use the pumping lemma to prove that L₁ = {0ⁿ1ⁿ2ⁿ | n ≥ 0, Σ = {0, 1, 2}} is not regular.

Suppose L₁ is regular and let p be the pumping length of L₁. Consider the string s = 0ᵖ1ᵖ2ᵖ. Since s is in L₁ and |s| ≥ p, according to the pumping lemma, s can be divided into three parts: s = xyz, where |xy| ≤ p, |y| > 0, and for all k ≥ 0, xyᵏz is in L₁.

Let's consider the possible divisions of s into x, y, and z:

If y contains only 0s or 1s, then pumping y will break the balance between the number of 0s, 1s, and 2s. Therefore, xy⁰z will not have an equal number of 0s, 1s, and 2s, violating the condition of L₁.

If y contains both 0s and 1s, pumping y will either increase the number of 0s or 1s in xy⁰z. Thus, xy⁰z will not have an equal number of 0s, 1s, and 2s, violating the condition of L₁.

If y contains only 1s or 2s, pumping y will either increase the number of 1s or 2s in xy⁰z. Thus, xy⁰z will not have an equal number of 0s, 1s, and 2s, violating the condition of L₁.

Let's use the pumping lemma to prove that L₂ = {ωωω | ω ∈ {a, b}*} is not regular.

Suppose L₂ is regular and let p be the pumping length of L₂. Consider the string s = aᵖbᵖaᵖbᵖaᵖbᵖ, where p is the pumping length. Since s is in L₂ and |s| ≥ p, according to the pumping lemma, s can be divided into three parts: s = xyz, where |xy| ≤ p, |y| > 0, and for all k ≥ 0, xyᵏz is in L₂.

Let's consider the possible divisions of s into x, y, and z:

If y contains only a's, then pumping y will either increase the number of a's in xy⁰z or break the balance of the number of a's, b's, and a's in xy⁰z. Thus, xy⁰z will not be of the form ωωω, violating the condition of L₂.

If y contains only b's, then pumping y will either increase the number of b's in xy⁰z or break the balance of the number of a's, b's, and a's in xy⁰z. Thus, xy⁰z will not be of the form ωωω, violating the condition of L₂.

If y contains both a's and b's, then pumping y will either increase the number of a's or b's in xy⁰z. Thus, xy⁰z will not be of the form ωωω, violating the condition of L₂.

Let's use the pumping lemma to prove that L₃ = {ωωᴿβ | ω, β ∈ {0, 1}⁺} is not regular.

Suppose L₃ is regular and let p be the pumping length of L₃. Consider the string s = 0ᵖ1ᵖ0¹1¹, where p is the pumping length. Since s is in L₃ and |s| ≥ p, according to the pumping lemma, s can be divided into three parts: s = xyz, where |xy| ≤ p, |y| > 0, and for all k ≥ 0, xyᵏz is in L₃.

Let's consider the possible divisions of s into x, y, and z:

If y contains only 0s, then pumping y will either increase the number of 0s in xy⁰z or break the reversal of the first ω and the second ωᴿ in xy⁰z. Thus, xy⁰z will not be of the form ωωᴿβ, violating the condition of L₃.

If contains only 1s, then pumping y will either increase the number of 1s in xy⁰z or break the reversal of the first ω and the second ωᴿ in xy⁰z. Thus, xy⁰z will not be of the form ωωᴿβ, violating the condition of L₃.

If y contains both 0s and 1s, then pumping y will either increase the number of 0s or 1s in xy⁰z. Thus, xy⁰z will not be of the form ωωᴿβ, violating the condition of L₃.

Let's use the pumping lemma to prove that L₄ = {1ⁱ0ʲ1ᵏ | i > j and i > k > 0} is not regular.

Suppose L₄ is regular and let p be the pumping length of L₄. Consider the string s = 1ᵖ0ᵖ1²ᵖ, where p is the pumping length. Since s is in L₄ and |s| ≥ p, according to the pumping lemma, s can be divided into three parts: s = xyz, where |xy| ≤ p, |y| > 0, and for all k ≥ 0, xyᵏz is in L₄.

Let's consider the possible divisions of s into x, y, and z:

If y contains only 1s, then pumping y will either increase the number of 1s in xy⁰z or break the inequality i > j in xy⁰z. Thus, xy⁰z will not satisfy the condition i > j, violating the condition of L₄.

If y contains only 0s, then pumping y will either increase the number of 0s in xy⁰z or break the inequality i > k in xy⁰z. Thus, xy⁰z will not satisfy the condition i > k, violating the condition of L₄.

If y contains both 1s and 0s, then pumping y will either increase the number of 1s or 0s in xy⁰z. Thus, xy⁰z will not satisfy the conditions i > j and i > k, violating the condition of L₄.

To know more about value here

https://brainly.com/question/30145972

#SPJ4

(27d^(2))/(8c^(2)) contains the C term with the same exponent and the d term with a different exponent as compared to the given expression.  The correct is option (C).

The given expression is ((3C^(4)d^(4))/(2d^(9)))^(3).

We need to find the expression that is equivalent to the given expression. Here, we will use the properties of exponents to simplify the given expression, and then we will compare it with the expressions .

Let us simplify the given expression.

((3C^(4)d^(4))/(2d^(9)))^(3) = (3C^(4)d^(4)/2d^(9))^(3) = (3/2)(C^(4)d^(4-9))^(3) = (3/2)(C^(4)d^(-5))^(3) = (3/2)C^(4*3)d^(-5*3) = (3/2)C^(12)/d^(15)

Now, we need to compare this expression with the expressions given in the answer choices.

Option (A) (3d^(4))/(2c^(2)) cannot be the equivalent expression because it does not contain C and d terms with the same exponents.

Option (B) (81d^(6))/(8C^(6)) cannot be the equivalent expression because it contains the C term with a different exponent as compared to the given expression.

Option (C) (27d^(2))/(8c^(2)) contains the C term with the same exponent and the d term with a different exponent as compared to the given expression. Hence, this expression is equivalent to the given expression.

Hence, this expression is equivalent to the given expression .Therefore, the correct is option (C) (27d^(2))/(8c^(2)).

Know more about the exponent

https://brainly.com/question/13669161

#SPJ11

Answer:

4.8 years

Step-by-step explanation:

10 800 = 8000 e^(i t)        i = decimal interest per year     t = years

10800/8000 = e^(.0625 t)      ln both sides

.300 = .0625 t

t = 4.8 years

Respuesta:

79.4 pies

Explicación paso a paso:

Dado que :

Longitud del autobús = 33,5 pies

Longitud del tren = 45,9 pies más largo que el autobús

Por lo tanto, la longitud del tren es igual a:

Longitud del bus + 45,9 pies

33,5 pies + 45,9 pies

Longitud del tren = 79,4 pies

Expanding and reducing the expression A gives A = 12x²  + 17x - 44

From the question, we have the following parameters that can be used in our computation:

A = 9x² - 16 - (4 - 3x)(x + 7)

When expanded, we have

A = 9x² - 16 - (-3x² - 17x + 28)

Evaluating the like terms, we have

A = 12x²  + 17x - 44

Here, we have

A = -44

So, the equation (A) becomes

12x²  + 17x - 44 = -44

This gives

12x²  + 17x = 0

When solved, we have

x = 0 or x = -17/12

Here, we have

9x² - 16 - (4 - 3x)(x + 7) = 0

(3x - 2)² - 4 = 0

When solved, we have

A = 0: x = 4/3 and x = -11/4

B = 0: x = 4/3 and x = 0

Here, we have

9x² - 16 - (4 - 3x)(x + 7) = (3x - 2)² - 4

(3x - 2)² - 4 = 2x

When solved, we have

A = B: x = 4/3 and x = -11

B = 2x: x = 14/9 and x = 0

Read more about equations at

https://brainly.com/question/148035

#SPJ1

Based on the information given, the following two statements are correct:

A. The equation, d = 2t represents the relationship beween the variables.

D. The independent variable is the time in minutes and the dependent variable is the amount of cookies.

The correct statements include the factt that the equation formed from the graph can be represented with the function d = 2t  where d is the number of cookies and t is time in minutes.

Also, the independent variable is the variable that remains unchanged and this is the time in minutes while the dependent variable is the variable that changes and that is the amount of cookies. So, the selected options are right.

Learn more about independent variables here:

https://brainly.com/question/82796

#SPJ1

The personal banker given lending arrangement, the APR for your cousin's buddies who borrowed $20 and repaid $40 at the end of the month would be 120%

The annual percentage rate (APR) for your cousin's lending arrangement,  to make a few assumptions. That each lending transaction occurs on the first day of the month and is repaid on the last day of the same month. Based on these assumptions, calculate the effective APR as follows:

Calculate the interest charged for a $20 loan over one month:

Interest = $40 (repaid amount) - $20 (loaned amount) = $20

Divide the interest by the loan amount and multiply by 100 to get the monthly interest rate:

Monthly Interest Rate = (Interest / Loan Amount) ×100 = ($20 / $20) ×100 = 100%

Multiply the monthly interest rate by 12 to obtain the annual interest rate:

APR = Monthly Interest Rate ×12 = 100% ×12 = 120%

To know more about banker here

https://brainly.com/question/14328094

#SPJ4

The clock minutes rotate 270 degrees in 45 minutes.

While rotating, the clock's hands are seen to move at a speed of six degrees per minute.

The number of degrees for a clock minute is solved by

60 minutes  = 360 degrees

1 minute = ?

cross multiplying

60 * ? = 360

? = 360 / 60

? = 6

hence 1 minute is 6 degrees

The formula to use to get the calculation is multiplying the number of minutes by 6

Number of degrees in 45 minutes = 45 * 6

Number of degrees in 45 minutes = 270 degrees

Learn more about clock rotation:

brainly.com/question/28741125

#SPJ1

(a) The amount of salt in the tank after t minutes is zero.

(b) The amount of salt in the tank after 10 minutes is 0 kg.

Given: Initial quantity of brine = 6000 L

Concentration of salt in the initial quantity of brine = 12 kgTotal time = t min

Rate at which water enters the tank = 60 L/min

The solution is kept thoroughly mixed and drains from the tank at the same rate. Therefore, the quantity of solution in the tank is constant.

For the solution in the tank, the amount of salt is constant.

So, the rate at which salt enters the tank = rate at which salt leaves the tank.

Let x kg of salt is in the tank after t minutes.

(a) How much salt is in the tank after t minutes?

The quantity of salt in the initial quantity of brine = 12 kg

Total quantity of solution in the tank = 6000 L

The rate at which water enters the tank = 60 L/min

Therefore, the rate at which salt enters the tank = (60/6000) × 0 = 0 kg/min

The rate at which solution drains from the tank = 60 L/min

Let the concentration of salt in the tank after t minutes be y kg/L

So, the rate at which salt leaves the tank = 60 y kg/min

According to the problem, the rate at which salt enters the tank = rate at which salt leaves the tank.=> 0 = 60 y kg/min=> y = 0

Therefore, the concentration of salt in the tank after t minutes = 0 kg/L

The amount of salt in the tank after t minutes = concentration of salt × Total quantity of solution in the tank= 0 × 6000= 0 kg

Therefore, after t minutes, there is no salt left in the tank.

(b) How much salt is in the tank after 10 minutes?

The amount of salt in the tank after 10 minutes = 0 kg (From part a)

Hence, It contains 0 kg of salt after 10 minutes.

To know more about amount of salt in the tank: https://brainly.com/question/17043916

#SPJ11

Answer:

N=32

Step-by-step explanation:

Answer: 32

Step-by-step explanation:

32-18=14

The output of this code will be a signal that starts at zero and gradually increases to three. After five seconds, the signal starts decreasing to zero, with an exponential decay rate. The output plot will look like a ramp that rises linearly and falls exponentially after five seconds.

The term "son of a mention" is not familiar in mathematics. The correct term might be "son of a gun" or "son of a function."A differential equation used to model your specific engineering course is called an engineering differential equation. Such equations are used to predict, control, and monitor various physical processes, ranging from the dynamics of mechanical systems to the motion of fluids and gases, and electrical and electronic circuits. It's essential to know the form of the differential equations, the initial and boundary conditions, and the physical meaning of the parameters to use them effectively in modeling physical systems.

The following MATLAB code represents a simple for loop with a nested if-else statement and a plotting command. The code generates a signal with two segments: a rising ramp from zero to three and a falling ramp from three to zero. The signal has a total duration of 10 seconds, a sampling interval of 0.05 seconds, and a plotting delay of 0.002 seconds.

01 t=0 02 while t<10 03

if

(t<5) 04 y=3*(1-exp(-t)); 05 else if

(t>=5) 06 y=3*exp(-t+5); 07 ends 08 end 09

t = t + 0.05 10 pauses (0.002)

The output of this code will be a signal that starts at zero and gradually increases to three. After five seconds, the signal starts decreasing to zero, with an exponential decay rate. The output plot will look like a ramp that rises linearly and falls exponentially after five seconds.

To Know more about MATLAB code visit:

brainly.com/question/12950689

#SPJ11

Answer:

Step-by-step explanation:

Vertical asymptotes exist where there is a problem in the denominator of a fraction. The only time there will be a problem in the denominator is when a value is plugged in that causes it to go to 0. To find the vertical asymptote(s) of a function, set the denominator equal to 0 and solve for x:

2x + 3 = 0 and

2x = -3 so

x = -3/2

The vertical asymptote is the vertical line x = -3/2

Answer:

Step-by-step explanation:

(f ° g)(18) is another way of writing f(g(18)) which is telling you to evaluate function g at an x value of 18, then take that answer and plug it in for x in the function. Like this:

g(18) = 18 - 9 so

g(18) = 9. Now take that 9 and plug it into the f function in place of x:

f(9) = -8(9) + 8 and

f(9) = -72 + 8 so

f(9) = -64

Answer:

Below.

Step-by-step explanation:

1) Alternate exterior angles

2) Alternate interior angles

3) Alternate exterior angles

4) Alternate exterior angles

5) Alternate interior angles

6) Corresponding angles

7)Alternate exterior angles

8) Alternate interior angles

9) Corresponding angles

10) Corresponding angles

When two parallel lines are intersected by a transversal 8 angles are formed.

Alternate exterior angles: These angles are located outside the parallel lines but on the opposite side of the transversal.

Alternate interior angles:

These angles are located inside the parallel lines but on the opposite side of the transversal.

Corresponding angles: These angles are located at the same relative position on the same side of the transversal.

Answer:

\(y=2x-2\)

Step-by-step explanation:

Hi there!

Linear equations are typically organized in slope-intercept form: \(y=mx+b\) where m is the slope and b is the y-intercept (the value of y when the line crosses the y-axis)

1) Determine the slope (m)

\(m=\frac{y_2-y_1}{x_2-x_1}\) where the two points are \((x_1,y_1)\) and \((x_2,y_2)\)

Plug in the given points (0,-2) and (2,2)

\(=\frac{2-(-2)}{2-0}\\=\frac{2+2}{2}\\=\frac{4}{2}\\=2\)

Therefore, the slope of the line is 2. Plug this into \(y=mx+b\) as m:

\(y=2x+b\)

2) Determine the y-intercept (b)

\(y=2x+b\)

Plug in one of the given points and solve for b

\(2=2(2)+b\\2=4+b\)

Subtract 4 from both sides to isolate b

\(2-4=4+b-4\\-2=b\)

Therefore, the y-intercept of the line is -2. Plug this back into \(y=2x+b\)

\(y=2x-2\)

I hope this helps!

Answer:  b) {-3, 0.5}

Step-by-step explanation:

The new equation is the original equation plus 6.  Move the original graph UP 6 units.  The solutions are where it crosses the x-axis.

\(\text{Original equation:}\quad f(x)=\dfrac{15}{x}-\dfrac{9}{x^2}\\\\\\\text{New equation:}\quad\dfrac{15}{x}+6=\dfrac{9}{x^2}\\\\\\.\qquad \qquad f(x)= \dfrac{15}{x}-\dfrac{9}{x^2}+6\)

+6 means it is a transformation UP 6 units.  

Solutions are where it crosses the x-axis.

The curve now crosses the x-axis at x = -3 and x = 0.5.

Answer:

False, percentages are out of 100

The numbers that are equivalent to three and two ninths are:

twenty-nine ninths

The given fraction in words "three and two ninths" is writen in figures as

3 2/9 this is a mixed fraction

Writing the fraction an improper fraction

three and two ninths = 29/3

Writing the fraction in decimal

three and two ninths = 3.222222 where 2 is repeating

converting to percent

3.2222 * 100 = 322.22 where 2 is repeating

Learn more about fractions:

https://brainly.com/question/29321903

#SPJ1

If the standard deviation of a set of data is 6, then the value of variance is 36

The formula for determining variance is variance = √Standard deviation

Variance of a set of data is equal to square of the standard deviation.

If the standard deviation of a set of data is 6 then we get variance by putting the value of standard deviation in the formula

variance = √Standard deviation

Take square root on both sides

Standard deviation² = 6²

Standard deviation= 36

Hence,  standard deviation of a set of data is 6, then the value of variance is 36

To learn more on Statistics click:

https://brainly.com/question/30218856

#SPJ1

Answer:

Step-by-step explanation:

A rational number is a nonrepeating fraction. To convert, we need to put 71,625 over 1000.

We divide 1000 by 125.

This simplifies to 573/8.

Then we get the whole number part of the mixed number.

A. Yes, the table shows a probability distribution.

B. No, the sum of all the probabilities is not equal to 1.

C. No, not every probability is between 0 and 1 inclusive.

D. No, the random variable x is categorical instead of numerical.

E. No, the random variable x's number values are not associated with probabilities.


A probability distribution is a table that shows the possible values of a random variable and the probability associated with each value. In order for a table to be considered a probability distribution, it must meet the following criteria:

- The sum of all the probabilities must be equal to 1.
- Each probability must be between 0 and 1 inclusive.
- The random variable must be numerical.
- Each value of the random variable must be associated with a probability.

Based on these criteria, we can determine whether or not the table in question is a probability distribution. If the table meets all of the criteria, then it is a probability distribution and we would select option A.

If the table does not meet one or more of the criteria, then we would select the corresponding option(s) that explain why it is not a probability distribution (options B, C, D, and/or E).

To know more about probability distribution click on below link:

https://brainly.com/question/14210034#

#SPJ11

Answer:

its too small, i cant read it, sorry

Step-by-step explanation:

Answer:

-4+2x

Step-by-step explanation:

-7+3=-4

6x-4x=2x

Answer:

-4 + 2x

Step-by-step explanation:

-7 + (+3) = -4, which is why i included a -4 in the expression

6x - 4x = 2x, which is why i included a 2x in the expression

The dimensions of a horizontal cross-section will vary depending on the specific shape or object being considered.

To determine the dimensions of a horizontal cross-section, we need more specific information about the object or shape in question.

A horizontal cross-section refers to a slice or cut made parallel to the horizontal plane.

The dimensions of a horizontal cross-section will depend on the shape or object being sliced. For example, if we have a rectangular prism, a horizontal cross-section would result in a rectangle.

The dimensions of this rectangle would be equal to the dimensions of the corresponding face of the prism.

If we have a cylindrical object, a horizontal cross-section would result in a circle. The dimensions of this circle would be determined by the radius or diameter of the cylinder.

It is essential to provide more information about the shape or object to determine its corresponding horizontal cross-section dimensions.

For such more question on dimensions:

https://brainly.com/question/28107004

#SPJ8

Answer:

the center of rotation is a point about which a figure rotates . this point doesn't remove during a rotation

Answer:

k=3/2 or 1 1/2

Step-by-step explanation:

Answer  3/2

Step-by-step explanation:

Answer:

\(8 \div 4(3 - 1)\)

let's follow BODMAS for solving this expression ~

the BODMAS rule states the order for solving a given question and the order lies in its full form which is as follows ~

B - brackets

O - of

D - division

M - multiplication

A - addition

S - subtraction

using the order , let's move to the expression given now ~

\(\dashrightarrow \: 8 \div 4(3 - 1) \\ \\ as \: the \: rule \: states \: , \: we \: will \: solve \: the \: brackets \: first \\ \\\dashrightarrow 8 \div 4(2) \\ \\ brackets \: again \\ \\ \dashrightarrow \: 8 \div 8 \\ \\ and \: finally \: divison \\ \\ \dashrightarrow \: 1\)

hope helpful :D

The value of expression 8 divided by 4 (3-1) would be equal to 1

When 'a' is divided by 'b', then the result we get from the division is the part of 'a' that each one of 'b' items will get. Division can be interpreted as equally dividing the number that is being divided into total x parts, where x is the number of parts the given number is divided.

We need to find the expression of 8 divided by 4 (3-1)

A negative divided by a negative is positive, therefore,

8 / 4 (3-1)

8 / 4(2)

8/8 = 1

Therefore, The value of 8 divided by 4 (3-1) is; 1

Learn more about division here:

brainly.com/question/26411682

#SPJ2

Correct option is C. The amount it cost for Yvonne to go to college is = $40,000 calculated by linear equation property.

A linear equation only has one or two variables. No variable in a linear equation is raised to a power greater than 1 or used as the denominator of a fraction. When you find pairs of values that make a linear equation true and plot those pairs on a coordinate grid, all of the points lie on the same line.

A linear equation is an algebraic equation of the form y=mx+b, where m is the slope and b is the y-intercept, and only a constant and a first-order (linear) term are included. The variables in the preceding equation are y and x, and it is occasionally referred to as a "linear equation of two variables."

Calculation of college cost

The number of years to complete college= 5 years

Yvonne salary per year = $37,000

For 5 years her salary = 45,000

4.5 years = X

Make X the subject of formula,

X = 45,000 × 4.5/5

X = 202,500/5

X =$ 40,000

Therefore, the amount it cost for Yvonne to go to college is = $40,000.

To learn more about linear equations from the given link

https://brainly.com/question/17731410

#SPJ4