Try It #2
A city’s population has been growing linearly. In 2008, the population was 28,200. By 2012, the population was36,800. Assume this trend continues.
a. Predict the population in 2014

Answers

Answer 1

Answer:

The population in year 2014 is 41100.

Step-by-step explanation:

In the question, it is given that the city's population is growing linearly. In 2008 , population was 28200 and in 2012 , it is 36800 .

It is required to predict the population in 2014 .

To do so, use the population given in two years as two points on a line and find the equation of population and year. Then, find the population in year 2014 .

Step 1 of 2

The population in 2008 was 28200 and in 2012 it was, 36800 .

The equation relating population and year is,

[tex]$$\begin{aligned}&y-28200=\left(\frac{36800-28200}{2012-2008}\right)(x-2008) \\&y-28200=\left(\frac{8600}{4}\right)(x-2008) \\&y-28200=2150(x-2008)\end{aligned}$$[/tex]

Step 2 of 2

The population in year 2014 can be determined by substituting 2014 for x,

[tex]$$\begin{aligned}&y-28200=2150(2014-2008) \\&y-28200=2150(6) \\&y-28200=12900 \\&y=41100\end{aligned}$$[/tex]


Related Questions

what does I mean in a equation

Answers

Iota, also known as the symbol , is denoted as being the square root of -1. Since square roots of negative numbers do not exist, there is a variable that represents it complexly. In fact, every real number (a) can be represented using the form (a) + (0).

On occasion, variables can also use and it does not have to be talking about the square root of -1. However, this rarely ever happens to avoid confusion. Check instructions in questions to see how is defined.

PLEASE HELP!!!
Determine the measure of the angle formed by the line y=3/2x and the positive x-axis.

Answers

Answer:

the angle = ~56.3 degrees

Step-by-step explanation:

1. y=3/2(x) and y=0
2. say x is equal to 4. the length along the x axis is 4. you would plug x=4 into y=3/2x to get the length along the y axis (which would be 6). then you would use these lengths to find the angles value with tan. tan^-1(6/4), so the answer would be ~56.3 degrees

A circle has a circumference of 6. It has an arc of length 1.
What is the central angle of the arc, in degrees?

Answers

Answer:

Central Angle (Radians)=

1.0482

Central Angle (Degrees)=

6.0058e+1

Sector Area Equals

0.477

Step-by-step explanation:

Robert, Richard and David were working on a project to redesign coke cans. First, Robert measured the original coke can and found the circumference to be 8.6 inches. Richard measured the height to be 15.2 cm.
David calculated the volume to be 131.3 cm3.
Choose the true statement(s) below.

Select one or more:
a.David's calculations are incorrect, he needed to convert centimeters to inches before finding the radius then use the area of the base times the height .

b.David is correct.

c.David's calculations are incorrect, he used the circumference and the height to find the volume.

Answers

The true statement is David's calculations are incorrect, he used the circumference and the height to find the volume.

Volume

Correct calculation:

Height = 15.2 cmCircumference = 8.6 inches

C = 2πr

8.6 = 2 × 3.14 × r

8.6 = 6.28r

r = 8.6/6.28

r = 1.36942675159235 inches

convert 1.36942675159235 inches to cm

= 3.478343949044569 cm

Approximately,

r = 3.5 cm

Volume = πr²h

= 3.14 × 3.5² × 15.2

= 3.14 × 12.25 × 15.2

= 584.668 cm³

Approximately,

volume = 584.7 cm³

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HELP PLSSSSS! 10 points for whoever and good ratings

Answers

Answer:

Hello! The answer is 19.25 m²

Step-by-step explanation:

A = 1/2(4 + 7)3.5

A = 1/2(11)3.5

A = (5.5)3.5

A = 19.25 m²

Answer:

19.25 m²

Step-by-step explanation:

A = (1/2)(b1 + b2)h

A = (1/2)(7 m + 4 m)(3.5 m)

A = 19.25 m²

A bucket is in the shape of a frustum with top diameter 20cm and bottom diameter 12cm. If the height of the bucket is 8cm, calculate the volume of the bucket​

Answers

Answer: V≈1642 cm³.

Step-by-step explanation:

D=20 cm      d=12 cm      h=8 cm       V=?

[tex]R=\frac{D}{2}=\frac{20}{2} =10 \ (cm).\\ r=\frac{d}{2}=\frac{12}{2}=6 \ (cm).\\ \boxed {V=\frac{1}{3} *\pi *h*(R^2+R*r+r^2)} \ \ \ \ \ \Rightarrow\\V=\frac{1}{3}*\pi *8*(10^2+10*6+6^2)\\V=\frac{1}{3}*\pi *8*(100+60+36)\\ V=\frac{8}{3} *\pi *196\\V=\frac{8*196*\pi }{3} \\V\approx1642\ cm^3.[/tex]

The population of a town grows at a rate proportional to the population present at time t. the initial population of 500 increases by 20% in 10 years. what will be the population in 20 years? (round your answer to the nearest person.)

Answers

The population in 20 years is 719 people.

In mathematics, a differential equation is an equation that relates one or more unknown functions and their derivatives. In applications, the functions generally represent physical quantities, the derivatives represent their rates of change, and the differential equation defines a relationship between the two. Such relations are common; therefore, differential equations play a prominent role in many disciplines including engineering, physics, economics, and biology.

According to the question

[tex]\frac{dP}{dt} = kP[/tex]   where P is population at any time

solving equation,

[tex]\int[/tex][tex]\frac{dP}{dt} =\\[/tex] [tex]\int kP[/tex]

[tex]lnP=kt+C[/tex]                                 -(1)

Applying the conditions,

at t=0, P = 500

[tex]ln500=C[/tex]                                      -(2)

at t=10, P= 600

putting it in equation gives

[tex]ln(600) = k(10)+ln(500)[/tex]

ln(6/5) = k(10)

[tex]k = \frac{ln(6/5)}{10}[/tex]

at t=20 , P= ?

[tex]lnP=(\frac{ln(6/5)}{10})20 + ln500[/tex]

[tex]lnP=({ln(6/5)}{2 + ln500[/tex]

On putting the values of ln(6/5) , ln(500)

[tex]lnP=0.182(2) + 6.214[/tex]

[tex]P = e^{6.578}[/tex]

P = 719.099

On rounding off

P ≈ 719 people

Thus the population in 20 years is 719 people.

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Use synthetic division to find the expression for the area of the base of a rectangular prism with height x 4 and volume x3 2x2 – 17x – 36. 2x2 – 9x x2 6x – 24 x2 – 2x – 9 –4x2 8x 36

Answers

The expression for the area of the base of Prism is   x2 – 2x – 9

The volume of a rectangular prism is this

Volume = Area x Height

Substituting the given expressions

x3 + 2x2 - 17x - 36 = Area x (x + 4)

Area = (x3 + 2x2 - 17x - 36) / (x + 4)

Now, let's use synthetic division

-4 |    1    2    -17   -36

----    __-4___8___36

        1    -2     -9     0

The expression for the area is

Area = x2 - 2x - 9

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A triangle has one side length of 2x

2 + 5x + 3. The other two sides of the triangle have lengths x

2 + 2x and
3x − 2. Determine the simplified expression that represents the total perimeter of the triangle.

Answers

The simplified expression that represents the total perimeter of the triangle is 2x^2 + 10x  + 3

How to determine the perimeter?

The side lengths are given as:

2x^2 + 5x + 3, 2 + 2x and 3x - 2

Add these lengths to determine the perimeter (P)

P = 2x^2 + 5x + 3 + 2 + 2x + 3x - 2

Collect like terms

P = 2x^2 + 5x + 2x + 3x  + 3 + 2 - 2

Evaluate the like terms

P = 2x^2 + 10x  + 3

Hence, the simplified expression that represents the total perimeter of the triangle is 2x^2 + 10x  + 3

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Select the correct answer.
Which statement is true about function f, which is shown in the graph?



The graph shows a cubic function. The curve is drawn using the points (minus 1, 8), (minus 1, minus 3.5), (0, 0), (1, 3.5), and (1, minus 8) which intercepts (1, 0), and (minus 1, 0)

A.
Function f is neither even nor odd.
B.
Function f is odd.
C.
Function f is both even and odd.
D.
Function f is even.

Answers

A would be the answer for this


Ryan Massey wants to deposit the following into his savings account: 28 ten-dollar bills, 9 five-dollar bills,
20 quarters, 85 dimes, 32 pennies, and three checks for $654.24, $100.00, and $458.92. He wants to
receive $50.00 in cash.

Answers

After he withdraws $50.00 in cash the bank reconciliation shows that Ryan would have: $1 501.98 in bank balance.

What is the solution to the above?

Add all the deposits

28 x 10 = 2809 x 5 = 4520 x 0.25 = 585 x 0.10 = 8.532 x 0.01 = 0.32

Total = $338.82

Add the checks

654.24 + 100.00 + 458.92

= $1,213.16

Total amount deposited is:  Cash + Check

1,213.16 + 338.82

Total Deposit = $1,551.98

Less withdrawal of $50

$1,551.98 - $50

Balance left = 1 501.98

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Full Question:

Ryan Massey wants to deposit the following into his savings account: 28 ten-dollar bills, 9 five-dollar bills, 20 quarters, 85 dimes, 32 pennies, and three checks for $654.24, $100.00, and $458.92. He wants to receive $50.00 in cash.

How much cash would he lave left after he withdraws $50.00 in cash?

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ion
Given circle A with radius 15, find the length of arc FD. Give your answer rounded to the nearest hundredth.
Answer:
20°
156°
46°
my
E
D
B

Answers

The length of arc FD with a radius of 15 and angle of 120° is 10π units.

What is an equation?

An equation is an expression that shows the relationship between two or more numbers and variables.

The length of an arc is given by:

arc length = (Ф/360) * 2π*radius

Let us assume that the angle is 120°

arc FD = (135/360) * 2π(15) = 10π

The length of arc FD with a radius of 15 and angle of 120° is 10π units.

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22/11,594 I need a step by step answer

Answers

Answer:

1.89753

Step-by-step explanation:

22/11,594

Multiply the numerator and denominator by 1000 to remove decimal

         [tex]\frac{22}{11.594} * 1000 = \frac{22000}{11594}[/tex]

Using long division

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(LOOK AT IMAGE)
The diagram shows a circle with a tangent.
a) What is the size of angle x?
b) Choose the theorem below which allows you to find x. ​

Answers

a) By the alternate segment theorem, [tex]x=53^{\circ}[/tex]

b) Alternate angles are equal

in each of the following graphs, the two given polygons are similar. write precisely a single dilation (coordinated of center and coefficient) by which the image (labled with primed letters) was obtained.

Answers

The single dilation of the shape is a dilation by a scale factor of 1.5 with center R

How to determine the dilation rule?

From the graph, we have the center of dilation to be point R.

This is so because R = R'

Also, we have:

R = (-1, -4)

S = (2, 0)

S' = (3.5, 2)

Calculate the distance RS and RS' using

[tex]d = \sqrt{(x_2 -x_1)^2 + (y_2 -y_1)^2[/tex]

This gives

[tex]RS = \sqrt{(0 + 4)^2 + (2+ 1)^2} = 5[/tex]

[tex]RS' = \sqrt{(2 + 4)^2 + (3.5+ 1)^2} = 7.5[/tex]

Divide RS' by RS to determine the scale factor (k)

k = 7.5/5

k = 1.5

Hence, the single dilation of the shape is a dilation by a scale factor of 1.5 across point R

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what postulate is this?
A. SSS (side side side)
B. SAS (side angle side)
C. ASA (angle side angle)
D. AAS (angle angle side)

Answers

Answer:

the answer is c ASA

Step-by-step explanation:

i think I. not sure

What is the area of a square with radius 7.5m

Answers

Answer:

48.375

Step-by-step explanation:

Area of square- area of circle

Side^2 - pieR^2

(15)^2 - 3.14*7.5*7.5

225 - 176.625

= 48.375

Hope this helps

The area of the square is 56.25 m².

The area of the square is:

Area = Side²

Area = (7.5 m)²

Area = 56.25 m²

{ Pisces04 }

Select all the correct answers.
3x
If the measure of angle is 4, which statements are true?
The measure of the reference angle is 60°.
□ sin(0) = 2
The measure of the reference angle is 45°.
Otan(8) = 1
cos(8) = √2
The measure of the reference angle is 30°.

Answers

If the measure of angle θ is 3π/4, the true statements are:

sin(θ) = √2/2.The measure of the reference angle is 45°.

How to determine the true statements?

In Trigonometry, an angle with a magnitude of 3π/4 (radians) is equivalent to 135° (degrees) and it's found in the second quarter. Thus, we would calculate the reference angle for θ in second quarter as follows:

Reference angle = 180 - θ

Reference angle = 180 - 135

Reference angle = 45°.

Also, a terminal point for this angle θ is given by (-√2/2, √2/2) which corresponds to cosine and sine respectively. This ultimately implies that sin(θ) = √2/2.

tan(θ) = cos(θ)/sin(θ)

tan(θ) = [(-√2/2)/(√2/2)]

tan(θ) = -1

In conclusion, we can logically deduce that only options A and B are true statements.

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Complete Question:

If the measure of angle θ is 3π/4, which statements are true. Select all the correct answers.

A. sin(θ)=sqrt2/2

B. The measure of the reference angle is 45

C. The measure of the reference angle is 30

D. The measure of the reference angle is 60

E. cos(θ)=sqrt2/2

F. tan(θ)=1

Can someone help with these geometry questions? I gotta have answers fast, it’s urgent:(

Answers

Can't answer 1-6 cause I have no idea what you need

7) A triangle with two congruent sides is isosceles.

8) [tex]\overline{AC}[/tex] and [tex]\overline{BC}[/tex]

9) [tex]\angle C[/tex]

10) [tex]\overline{AB}[/tex]

11) [tex]\angle A, \angle B[/tex]

12) isosceles triangle

What is the radius of the circle with equation (x + 1/5) ^ 2 + (y - 2/5) ^ 2 = 1/25

Answers

Answer:

1/5

Step-by-step explanation:

In the circle equation shown, the 1/25 all by itself on the right side of the equation is r^2.

r^2 = 1/25

Squareroot both sides.

r = 1/5

Maira has a total of Rs.1040 as currency notes in the denomination of Rs.10, Rs.20 and Rs.50. The ratio of the number of Rs.10 notes and Rs.20 notes is 2:5. If she has a total of 30 notes, how many notes of each denomination she has.​

Answers

Answer:

Given that,

Maira has a total of Rs.1040 as currency notes in the denomination of Rs.10, Rs.20 and Rs.50.

The ratio of the number of Rs.10 notes and Rs.20 notes is 2:5.

She has a total of 30 notes with her.

Let assume that

Number of Rs 10 notes be 2x

Number of Rs 20 notes be 5x

Number of Rs 50 notes be 30 - (2x + 5x) = 30 - 7x

So,

[tex]\begin{gathered}\qquad \:\boxed{\begin{aligned}& \qquad\sf \:Denomination \: of \: Rs \: 10=2x\qquad \: \\ \\& \qquad \:\sf \: Denomination \: of \: Rs \: 20=5x\\ \\& \qquad \:\sf \: Denomination \: of \: Rs \: 50=30 - 7x\end{aligned}} \qquad \\ \\ \end{gathered}[/tex]

Now,

Amount in form of Rs 10 = 10 × 2x = Rs 20x

Amount in form of Rs 20 = 20 × 5x = Rs 100x

Amounts in form of Rs 50 = 50 × (30 - 7x) = Rs 1500 - 350x

Now, According to statement

[tex]\begin{gathered}\sf \: 20x + 100x + 1500 - 350x = 1040 \\ \\ \end{gathered}[/tex]

[tex]\begin{gathered}\sf \: 120x + 1500 - 350x = 1040 \\ \\ \end{gathered}[/tex]

[tex]\begin{gathered}\sf \: 1500 - 230x = 1040 \\ \\ \end{gathered}[/tex]

[tex]\begin{gathered}\sf \:- 230x = - 460 \\ \\ \end{gathered}[/tex]

[tex]\sf \: \implies x = 2 [/tex]

Hence,

[tex]\begin{gathered}\qquad \:\boxed{\begin{aligned}& \qquad \:\sf \:Denomination \: of \: Rs \: 10=4\qquad \: \\ \\& \qquad \:\sf \: Denomination \: of \: Rs \: 20=10\\ \\& \qquad \:\sf \: Denomination \: of \: Rs \: 50=16\end{aligned}} \qquad \\ \\ \end{gathered}[/tex]

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A grandfather is 51, while his grandson is 11. in how many years will the grandfather's age be twice the age of his grandson?

Answers

Answer:

29 years

Step-by-step explanation:

In 29 years the grandson will be 40 and the grandfather will be 80. 80 is twice as much as 40.

Answer: 29 years

Step-by-step explanation: if the grandfather is 51 when the grandson is 11 then the grandfather was 40 when his grandson was born. This mean the grandfather will be 80 when the grandson is 40. 40-11=29

Please help me Ill mark you brainlest

Answers

Answer:

Step-by-step explanation:

help me find the answer plss​

Answers

Answer:

about 8.2 cm

Step-by-step explanation:

The key is to realize that the volume never changes.
The formula for the volume of a sphere is (4/3)*pi*radius^3
22/7 is being substituted in place of pi in this problem
The volume of one of the small spheres is
(4/3)*(22/7)*2^3 is about 33.524 cm^3
64 of those spheres would have a volume of 33.524*64, or about 2145 cm^3
Now, the problem is to find a sphere with a volume of 2145 cm^3
Volume = (4/3)*(22/7)*radius^3
plug in and solve
2145 = 4.1905*r^3
r^3=511.87
r is about equal to 8.2 centimeters

I really need help on this question

Answers

Answer:

24

Step-by-step explanation:

Since 20 is 4/3 * 15, the answer must be 4/3 * 18

4/3 * 18 = 24, so the answer is 24

What second degree polynomial function has a leading coefficient of -2 and root 4 with a multiplicity of 2

Answers

The second degree polynomial with leading coefficient of -2 and root 4 with multiplicity of 2 is:

[tex]p(x) = -2*(x - 4)*(x - 4) = -2*(x - 4)^2[/tex]

How to write the polynomial?

A polynomial of degree N, with the N roots {x₁, ..., xₙ} and a leading coefficient a is written as:

[tex]p(x) = a*(x - x_1)*(x - x_2)*...*(x - x_n)[/tex]

Here we know that the degree is 2, the only root is 4 (with a multiplicity of 2, this is equivalent to say that we have two roots at x = 4) and a leading coefficient equal to -2.

Then this polynomial is equal to:

[tex]p(x) = -2*(x - 4)*(x - 4) = -2*(x - 4)^2[/tex]

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Select the correct answer. The steps for solving the given equation are shown below. -3-7 T 11 C 4 Steps 7 4 114 -3x7 44 -3x7 + 7 = 44 + 7 -3x = 51 3r = I = -17 Justifications 1. multiplication property of equality 2. simplification 3. 777 4. simplification 5. division property of equality 6. simplification Select the correct property for the missing justification in the table. addition property of equality division property of equality multiplication property of equality subtraction property of equality Select the correct answer . The steps for solving the given equation are shown below . -3-7 T 11 C 4 Steps 7 4 114 -3x7 44 -3x7 + 7 = 44 + 7 -3x = 51 3r = I = -17 Justifications 1. multiplication property of equality 2. simplification 3. 777 4. simplification 5. division property of equality 6. simplification Select the correct property for the missing justification in the table . addition property of equality division property of equality multiplication property of equality subtraction property of equality​

Answers

The property for the missing justification is: A. addition property of equality.

What is the Addition Property of Equality?

If b - a = c, based on the addition property of equality, we can isolate b by adding a to both sides, i.e. b - a + a = c + a, to give us b = c + a.

Using the addition property of equality, 7 was added to both sides of the equation as shown in step 3.

Therefore, the missing justification is: A. addition property of equality.

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To wire the entire new addition, max and fred have 6 rolls of wire with 9 2/5 feet per roll and 7 rolls of wire with 16 3/4 feet per roll. how many feet of additional wire do they need in order to complete the job if it requires 200 feet of wire? write the result as a mixed number.

Answers

Additional wire of  26 7/20 feet, in the form of a mixed fraction, is required to complete the job.

What is the length of additional wire required, in the form of a mixed fraction?

A mixed fraction is represented by both its quotient and remainder. An amalgam of a whole number and a legal fraction is a mixed fraction.

Max has total 6*9 2/5feet of wire, that is, 282/5 feet of wire.

Fred has total 7*16 3/4 feet of wire, that is, 469/4 feet of wire.

The total amount of wire required=200 feet

The total amount of wire available=282/5+469/4

                                                         =3473/20

An additional amount of wire is required=200-3473/20

                                                                   =(4000-3473)/20

                                                                   =527/20

Thus, the additional amount of wire required is expressed as a mixed fraction= 26 7/20 of feet.

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Which choices are equivalent to the expression below? Check all that apply.

√8√8

A. √8
B. 8
C. √√8.8
D. 64
E. √16
F. 64

Answers

I hope this photo will help you.

If AABD
ACBD,
LA = 32° and ZC = 5x - 13
A
C
x =
B
D
[?]

Answers

Answer: 9

Step-by-step explanation:

By CPCTC,

[tex]32=5x-13\\\\45=5x\\ \\ x=9[/tex]

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It is formed by two segments that are sides of the triangle.C. It forms a linear pair with one of the interior angles of the triangle.D. It is complementary to one of the interior angles of the triangle.SUBMIT Which of the following examples illustrates ordinal numbers?A. Marie counted the number of chips on her plate and said, " I have eight".B. Gracie told Bradly she would be the first one to go down the slide.C. Bennett said he had more blocks than anyone. When researching evidence to develop a claim, which are credible sources for a blogger to use? Select four answer options. If 4^3a/8^b=1, what is a/b?A. 1/3B. 1/2C. 3/4D. 4/3 European instruments such as the lute and guitar originally came from a. sub-saharan Africa b. the Americas c. Spain d. the Middle East Dr. Jones office has purchased the above equipment. It is now Year #2 and there is a $7,000 annual maintenance fee that needs to be added to the costs of the equipment. The variable cost is now $3.37 per study, but Dr. Jones office is planning on doing 1675 studies because there has been an addition of two new managed contracts, and there has been a reimbursement increase to $53.16. MHow should a reader analyze indirect characterization? Select four options.O by noticing adjectives that provide details describing the characterO by noticing how the character interacts with other charactersO by noticing details about what the character says, does, and thinksO by noticing how the other characters perceive the characterO by noticing the context, and use it to make inferences about the characterO by noticing statements the narrator makes about the character's personality0 by noticing statements the narrator makes about the character's appearance Rather than using threats, interest groups tend to influence lawmakers by providing them with ______. Selling firms determine which go-to-market strategy to use for each customer based on certain factors. One such factor that pertains to the estimated value of a customer over the lifetime of the customer's relationship with a seller is called _____. convert the Function to Degrees Fahrenheit:3. Suppose you want to represent the desert temperature in degrees Fahrenheit instead. How would you transform the function C(t) to make the new function, F(t)? (2 points: 1 point for each transformation)Note: The conversion rule for Celsius to Fahrenheit is .F(t)=95(-0.30(t-12)2+40)+32f(t)=-0.54(t-12)2+72+324. Take your values from the previous chart (in question 2) and convert them from Celsius to Fahrenheit. Follow the example below, and use the conversion rule to fill out the chart for degrees Fahrenheit when t = 12 and t = 24. (2 points: 1 point for each row)t012(12,24)c(0)=95(24)+32245. Use the conversion formula to write the equation for the new function, F(t).(4 points: 2 points for setting up the equation, 2 points for the answer) Hint: Substitute the equation for C(t) into .6. Plot the points from the Fahrenheit chart in question 4 onto the graph below. Use the plotted points to sketch out the graph of F(t). (3 points: 2 points for correct coordinates, 1 point for correct shape)7. Compare the graph in question 6 (F(t)) with the graph in question 2 (C(t)). What changes were made to the graph of C(t) to transform it to F(t)? (1 point) Julia examines the two triangles below and determines that Triangle F G H is similar to triangle L N M.Triangle F G H. Angle F is 98.6 degrees and angle G is 61.1 degrees. Triangle L N M. Angle M is 18.3 degrees and angle L is 98.6 degrees.Which best describes the accuracy of Julias solution?Accurate. The triangles are similar and the congruent angles are listed in corresponding order.Inaccurate. The triangles are not similar because the sum of the angles in each triangle is not 180.Inaccurate. The triangles are similar, but the triangles are named incorrectly. The vertices are listed out of corresponding order.Inaccurate. The triangles are not similar because angle M is not congruent to angle H, and angle N is not congruent to angle G. Helppppp!What metaphor does the allegory of The Pilgrim's Progress center on? Find the rate of change for the given table of values. Consider the following language: L={ |M is a Turing Machine and M accepts at least one palindrome, and rejects at least one palindrome} a. Is L a decidable language? Prove your answer. b. Is L a recognizable language? Prove your answer.