Consider the set S of bit strings defined recursively by:

Consider The Set S Of Bit Strings Defined Recursively By:

Answers

Answer 1

The correct option regarding the recursively defined strings is given by:

c) Both i) and ii).

Which of the strings belong to alphabet S?

First we start with string 101, we have that:

101 -> 1w -> 10w -> 101

Which belongs to alphabet S.

For string 001, we have that:

001 -> 0w -> 00w -> 001.

Which belongs to alphabet S.

Hence statement c is correct.

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Related Questions

How do I solve this problem? The green dots can be moved

Answers

Answer :

Points at (1, 3) and (3, 3) and (2, 1)

Explanation:

The original graph (dashed) is an absolute value function meaning f(x) = |x|

Given: y = 2f(x - 2) + 1

f(x - 2) means you plug in x - 2 for x in f(x) function

the new graph equation is: y = 2|x - 2| + 1

The graph will shift up 1 because +1The graph will shift right because -2The graph has a scale factor of 2The graph is V shaped because it is an absolute value graph

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Visual:

What mistake did he make ?! I need everybody Anwser

Answers

Answer:

he subtracted the wrong coordinates to find the horizontal leg

Step-by-step explanation:

It should be 4-(-3) but he labeled 4-(-1)

Model 3xfx Write the inverse of the rational function used to represent the situation in model 3, .
A biologist has tracked the population of Antarctic penguins in a marine reserve since 2012. He represents the population with the rational function f(x)=15x+50/x+5, where is the number of years that have passed since 2012 and () is the number of penguins.

Answers

Make f(x) = y
y = (15x + 50)/(x + 5)
Swap the x and y and make y the subject again
x = (15y + 50)/(y + 5)
x(y + 5) = 15y + 50
xy + 5x = 15y + 50
xy - 15y = 50 - 5x
y(x - 15) = 50 - 5x
y = (50 - 5x)/(x - 15)
So inverse function f^-1(x) = (50 - 5x)/(x - 15)

A sphere has a radius of 24 centimeters. What is its volume

Answers

Answer:

57905.8

Step-by-step explanation:

Use the formula:
V = 4/3 * πr³

Plug in:

V = 4/3 * 24³π

= 4/3 * 13824π

= 18432π

= 57905.83579cm³

Rounded to nearest tenth:

57905.8

Answer: 18,432

Step-by-step explanation: ANSWER ON EDMENTUM/PLUTO

help me pls i dont understand it

Answers

Answer:

Step-by-step explanation:

x×4=2x²(x-1)

2x³-2x²-4x=0

2x(x²-x-2)=0

x≠0

x²-x-2=0

x²-2x+x-2=0

x(x-2)+1(x-2)=0

(x-2)(x+1)=0

x=2

or

x=-1 (rejected)

Answer:

Step-by-step explanation:

Formula

The following relationship exists between the parts of each chord.

(x - 1)(2x^2) = 4*x

Solution

The easiest way to start is to divide both sides of the equation by x.

(x - 1)(2x^2)/x = 4x / x                  Divide by x    

( x-1)(2x) = 4                                 Remove the brackets

2x^2 - 2x = 4                              Subtract 4 from both sides

2x^2 - 2x - 4 = 4 - 4                    Combine

2x^2 - 2x - 4 = 0                         Pull out the common factor

2(x^2 - x - 2) = 0                         Divide by 2

x^2 - x - 2 = 0                              Factor

(x - 2)(x + 1)

Answer:

x can be 2 or x can be - 1 on paper. The x on the upper right prohibits that. A line can't have a length of - 1. So - 1 is called an extraneous solution.

The answer is x = 2

Order these numbers from least to greatest.
3.3661, 3.5, 3.36, 3.036

Answers

Answer:

3.036, 3.36, 3.3661 , 3.5

Step-by-step explanation:

Look at the first 2 numbers

3.3661, 3.5, 3.36, 3.036

We can order them as 3.0 , 3.3 , 3.3 . 3.5

So 3.036 is first one

Now we have 2 of the 3.3's

One is 3.3661 and the other one is 3.3600

Because if you add a number to the end it will always be a zero and it wont change the answer

So  3.36 is second and 3.3661 is third one

3.5  is bigger than 3.3

So 3.5 is last

3.036 least
3.36
3.3661
3.5 greatest

graph g(x) = -8|x| +1

Answers

Answer:

look the attachment in the above

Solve for x: |x − 2| + 10 = 12 (1 point)

Answers

Answer:

I think that would be 1

Step-by-step explanation:

Do everything in the lines before anything else. -2 becomes a 2 and then you add that with the 12 and divide 12 on both sides to get one.

Answer:

  x = 0 or 4

Step-by-step explanation:

The absolute value function can be resolved into two equations. These one- or two-step equations can be solved in the usual way.

__

negative argument

  -(x -2) +10 = 12

  -x = 0 . . . . . . . . . simplify, subtract 12

  x = 0 . . . . . . . . . multiply by -1. Check: 0 -2 is negative.

positive argument

  x -2 +10 = 12

  x = 4 . . . . . . . . . simplify, subtract 8. Check: 4 -2 is positive.

The two solutions are x=0 and x=4.

13. Find the values of x and y in the diagram below.

א

9

13

7

y

3

10

17

Answers

Answer:

x = 2

y = 4

Step-by-step explanation:

Let's start with the 7 in the middle. Subtract the 1 on its upper left to get 6.

Add the 3 on its lower left to get 10.

so, 3 - x = 1. x = 2

17 - y = 13. y = 4

Find an equation for the line that passes through the points (-6, -6) and (4,-2)

Answers

Answer:

y = 2/5 x - 18/5

Step-by-step explanation:

y = mx + b

m = (y2 - y1)/(x2 - x1) = [-2 - (-6)]/[4 - (-6)] = 4/10 = 2/5

y = 2/5 x + b

-6 = (2/5)(-6) + b

-30 = -12 + 5b

5b = -18

b = -18/5

y = 2/5 x - 18/5

What's x ? find the indicated side of the right triangle

Answers

-------------------------------------------------------------------------------------------------------------

Answer:  [tex]\textsf{x = 6}[/tex]

-------------------------------------------------------------------------------------------------------------

Given:  [tex]\textsf{The image provided with 2 angles and one side}[/tex]

Find:  [tex]\textsf{Solve for the unknown side of x}[/tex]

Solution:  In order to determine the length of x we need to use some trigonometric functions.  Using Soh Cah Toa we can see that we can either use 30 degrees or 60 degrees.  We will stick to 60 and we can see that the opposite side is 3 and the hypotenuse is x meaning that we need to use sin.  Plug in the values and solve for the unknown.

Plug in the values

[tex]\textsf{sin(30) = }\frac{\textsf{opposite}}{\textsf{hypotenuse}}[/tex][tex]\textsf{sin(30) = }\frac{\textsf{3}}{\textsf{x}}[/tex]

Multiply both sides by x

[tex]\textsf{sin(30) * x = }\frac{\textsf{3}}{\textsf{x}}\textsf{ * x}[/tex][tex]\textsf{sin(30) * x = 3}[/tex]

Divide both sides by sin(30)

[tex]\textsf{sin(30) * x}*\frac{1}{\textsf{sin(30)}}\textsf{ = 3}}*\frac{1}{\textsf{sin(30)}}[/tex][tex]\textsf{x = 3}}*\frac{1}{\textsf{sin(30)}}[/tex]

Simplify

[tex]\textsf{x = 3}}*\frac{1}{\textsf{0.5}}[/tex][tex]\textsf{x = 6}[/tex]

Therefore, the value of the unknown variable x is 6 units.

Inside the box of every cereal box contains a surprise gift. The store manager assures employees that 18 of the 48 boxes on the shelf have a secret decoder ring and inside the other 30 boxes on the shelf contain a different gift. If two cereal boxes are randomly selected from the shelf to purchase, what is the probability that both of them have the secret decoder ring? (Give answer as a decimal correct to least three decimal places.)

Answers

The probability that both of them have the secret decoder ring will be 0.1356.

What is probability?

Its basic premise is that something will almost certainly happen. The percentage of favorable events to the total number of occurrences.

Inside the box of every cereal box contains a surprise gift.

The store manager assures employees that 18 of the 48 boxes on the shelf have a secret decoder ring.

And inside the other 30 boxes on the shelf contain a different gift.

If two cereal boxes are randomly selected from the shelf to purchase.

Then the probability that both of them have the secret decoder ring will be

The total events will be

Total event = ⁴⁸C₂

Total event = 1128

The favorable events will be

Favorable event = ¹⁸C₂

Favorable event = 153

Then the probability will be

P = 153 / 1128

P = 0.1356

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The accompanying frequency distribution represents the square footage of a random sample of 500 houses that are owner occupied year round. Approximate the mean and standard deviation square footage.
Savings Lower Limit Upper Limit Frequency
0-199 0 199 345
200-399 200 399 97
400-599 400 599 52
600-799 600 799 21
800-999 800 999 9
1000-1199 1000 1199 8
1200-1399 1200 1399 3

Answers

The mean and the standard deviation are 233 and 208.95 respectively.

The mean of a distribution is its average, while the standard deviation is the summary of how far each data in the dataset, is to the mean.

First, we calculate the class midpoint (x) from the given intervals.

The class midpoint is the average of the intervals. So, we have:

X1 = (0+199)/2 = 99.5

X2 = (200+399)/2 = 299.5

X3 = (400+599)/2 = 499.5

X4 = (600+799)/2 = 699.5

X5 = (800+999)/2 = 899.5

X6 = (1000+1199)/2 = 1099.5

X7 = (1200+1399)/2 = 1299.5

So, the table becomes:

X values Frequency (f)

99.5 345

299.5 97

499.5 52

699.5 21

899.5 9

1099.5 8

1299.5 3

The mean of the distribution is:

   

This gives:

Mean = (99.5*345)+(299.5*97)+(499.5*52)+(699.5*21)+(899.5*9)+(1099.5*8)+(1299.5*3)/(345+97+52+21+9+8+3)

Mean = 124832.5/535 = 233

Therefore, Mean = 233

The standard deviation is calculated as follows:

So, we have:

Б =

√(99.5*(345-233)²+((299.5-233)² * 97)+((499.5-233)² * 52)+((699.5-233)² * 21)+((899.5-233)² * 9)+((1099.5-233)² * 8)+((1299.5- 233)² * 3)/ (345+97+52+21+9+8+3)

Standard Deviation = √(23357155.5)/535

        = √43658.23

        = 208.95

Б = 208.95

Hence, the mean and the standard deviation are 233 and 208.95 respectively.

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)The width of a rectangle is shown below:

A coordinate plane with a point A at negative 3, 3 and C at negative 3, negative 2.

If the area of the rectangle to be drawn is 20 square units, where should points B and D be located if they lie to the right of points A and C?

B(1, 3) and D(1, −2)
B(3, 3) and D(3, −2)
B(2, 3) and D(2, −2)
B(1, 2) and D(1, −3)

Answers

Answer: B(1, 3) and D(1, −2)

Step-by-step explanation:

The distance from A to C is 5, meaning we need the length to be 4.

If they lie to the right, we need to add 4 to the x coordinates, so the x coordinates should be 1, and the y coordinates should be 3 and -2.

The locations of B and D are given by (A) B(1,3) and D(1,-2).

The area of rectangle is given by the product of the length and width of that rectangle.

Area = Length*Width

Distance between two points (a,b) and (c,d) is given by,

[tex]d=\sqrt{(c-a)^2+(d-b)^2}[/tex]

Here in the given question it is mentioned that AC forms width of a rectangle and A is at (-3,3) and C is at (-3,-2)

Now the width is [tex]=\sqrt{(-3-(-3))^2+(-2-3)^2}=\sqrt{0^2+(-5)^2}=\sqrt{25}=5[/tex] unit.

Also it is given that, the area of the rectangle is 20 square units.

So the length is = 20/5 = 4 units

B and D lie to the right of points A and C respectively.

We have to go 4 units right to the A to find B and 4 units right to C to find D.

A is at (-3,3)

then B is at (-3+4,3) = (1,3)

C is at (-3,-2)

So D is at (-3+4,-2) = (1,-2)

Hence correct option is (A) B(1,3) and D(1,-2)

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Suppose that the electricity consumption in your home last month was 354 kWh. In your contract with the electricity company, you agreed to pay 11.3 cents per kWh. If you also have to pay a regular fixed charge of $15.63, determine the total amount due on your electricity bill.

Answers

The total amount due on the electricity bill is $55.64.

Here given that the last month's electricity consumption is 354 kWh

According to my contract with the electricity company, I agree to pay 11.3 cents per kWh.

So for 354 kWh of last month, I have to pay [tex]=11.3\times354=4000.2[/tex] cents

Now we know that 1 dollar = 100 cents

100 cents = $1

1 cent = [tex]\$\frac{1}{100}[/tex]

4000.2 cents [tex]=\$\frac{4000.2}{100}=\$40.002[/tex]

also, I have to pay a fixed charge of $15.63

So the total bill for last month will be [tex]=\$40.002+\$15.63=\$55.632\approx\$55.64[/tex]

Hence the total due amount on the electricity bill is $55.64 approximating the amount to the next two decimal place number.

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AABC=AADC, LACB=143, AC=33 LACD=?​

Answers

Answer:

I think the best answer is 143

show how to simplify y-8 = 3/4x [x-(-6)]

Answers

To simplify the equation, we have y = [tex]\frac{3}{4x^2 + 24x} + 8[/tex]

How to simply the expression

Given the expression

y-8 = 3/4x [x-(-6)]

First, expand the bracket

[tex]y - 8[/tex]= [tex]\frac{3}{4x^2 + 24x}[/tex]

Make 'y' the subject of formula

y = [tex]\frac{3}{4x^2 + 24x} + 8[/tex]

Thus, to simplify the equation, we have y = [tex]\frac{3}{4x^2 + 24x} + 8[/tex]

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Which of the following graphs shows the solution set for the inequality below?
|x + 2| + 7 > 10

Answers

Answer: Choice C

Work Shown:

|x+2| + 7 > 10

|x+2| > 10-7

|x+2| > 3

x+2 > 3 or x+2 < -3

x > 3-2 or x < -3-2

x > 1 or x < -5

The graph for x > 1 has an open circle at 1 and shading to the right.

The graph for x < -5 has an open circle at -5 and shading to the left

Both of these facts combine to describe Choice C

In other words, we have open circles at -5 and 1, with nearly everything shaded except for the region between the open circles.

The open circles are used to exclude those x values mentioned.

A Store-It-All storage facility requires users to enter a four digit code, using numbers 0-9, to get through the
gate. You need to get a box of winter clothes from your storage container, but you forgot the code.
1. How many possible codes are there if the digits cannot be repeated?
There are
possible codes.
2. What is the probability that you will guess the correct code on your first try?
P(correct code) =
3. If the digits can be repeated, how many possible codes are there?
There are
different codes.

Answers

Answer:

Step-by-step explanation: 1. 5040 because 10x9x8x7

3. 10000 because 10^4=1000

1)There are 5040 possible codes are there if the digits cannot be repeated.

2)The probability that you will guess the correct code on your first try will be (1/5040).

3) Possible code = 10000 .

Given,

Numbers : 0 to 9

Here,

Total number of digit = 0,1,2,3,4,5,6,7,8,9

Given condition;

a)

Four digit card must be drawn;

The total possible ways there if the digits cannot be repeated will be;

⇒10×9×8×7

⇒5040

b)

The probability that you will guess the correct code on your first try is;

P(A) = n(A)/n(S)

Where,

n(A) is the event has the right code

n(S) is the total possible ways;

P(A) =1/5040

Hence the total possible ways there if the digits cannot be repeated and the probability that you will guess the correct code on your first try will be 5040 and (1/5040) respectively.

c)

If the gits can be repeated then we have 10 digits for each place :

Possible code = 10 * 10 * 10 *10

Possible code = 10000

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Ms. Mather filled 8 3/4 gallons of gas in her car's fuel tank. The car used up 3 1/2 gallons when she visited a friend in a neighboring town. How many gallons of gas are left in Ms. Mather's fuel tank?

Answers

Answer: [tex]5\frac{1}{4}[/tex] gallons are left

Step-by-step explanation:

convert to mixed number...

[tex]8\frac{3}{4} = \frac{35}{4}[/tex]

[tex]3 \frac{1}{2} = \frac{7}{2}[/tex] or [tex]\frac{14}{4}[/tex]

[tex]\frac{35}{4} -\frac{14}{4}=\frac{21}{4}[/tex]

[tex]\frac{21}{4} =5\frac{1}{4}[/tex]

therefore, [tex]5\frac{1}{4}[/tex] gallons are left in Ms. Mather's fuel tank

Answer:

5 1/4 gallons are left... correct

Is the point (11, 15) on the circle defined by (x-9)² + (y-15)² = 4?
O Yes
O No

Answers

No don't take the points (-5,2) and (-3,-4) as the diameter of the circle, this might be a chord.

The center would always be at the perpendicular bisector of two chord or one chord and a tangent.

That's why first one is wrong and second one right.

Vector g is shown below.
Vector h is parallel to g, in the same direction and
half as long.
Work out h as a column vector.
9

Answers

Answer:

h = [tex]\left[\begin{array}{ccc}5\\1\\\end{array}\right][/tex]

Step-by-step explanation:

g = [tex]\left[\begin{array}{ccc}10\\2\\\end{array}\right][/tex] , then

h = [tex]\frac{1}{2}[/tex] [tex]\left[\begin{array}{ccc}10\\2\\\end{array}\right][/tex] = [tex]\left[\begin{array}{ccc}5\\1\\\end{array}\right][/tex]

A Ferris wheel at an amusement park is modeled by (x – 100)2 + (y – 75)2 = 4,900, where the measurements are in feet. A slingshot attraction is modeled by y = –3x2 + 48x – 30. Which attraction reaches a greater height, and what does it represent in terms of the context?

Answers

The attraction that reaches a greater height and what it represent in terms of the context  is:

The slingshot reaches a greater height at  162 ft, which is the vertex of the parabola.The Ferris wheel reaches a greater height at 145 ft, which is the highest point on the circle.

Height

Ferris wheel

(x – 100)2 + (y – 75)2 = 4,900

y max= 75+70

y max=145 ft

Sling shot

y = –3x² + 48x – 30

dy/dx=-6+48=0

x=48/6

x=8

Hence:

y max = –3(8)² + 48(8) – 30
y max = –3×64+48(8)-30

y max = –192+384-30

y max =162 ft

Therefore slingshot reaches a greater height at  162 ft and Ferris wheel reaches a greater height at 145 ft.

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Urgent algebra 2 help needed

Answers

Answer:

The area for the trapezoid is

A=h/2(a+b)

A=8/2(10+15)

A=100 cm square

Hope it helps!

Alex Meir recently won a lottery and has the option of receiving one of the following three prizes: (1) $90,000 cash immediately, (2) $35,000 cash immediately and a six-period annuity of $9,400 beginning one year from today, or (3) a six-period annuity of $17,700 beginning one year from today. (FV of $1, PV of $1, FVA of $1, PVA of $1, FVAD of $1 and PVAD of $1) (Use appropriate factor(s) from the tables provided.)

1. Assuming an interest rate of 5%, determine the present value for the above options. Which option should Alex choose?
2. The Weimer Corporation wants to accumulate a sum of money to repay certain debts due on December 31, 2030. Weimer will make annual deposits of $180,000 into a special bank account at the end of each of 10 years beginning December 31, 2021. Assuming that the bank account pays 6% interest compounded annually, what will be the fund balance after the last payment is made on December 31, 2030?

Answers

Based on the annuities calculated, he should choose option 1.

How to calculate the annuities?

Present value = $35,000 + (Annuity amount * Present value of an ordinary annuity of $1)

= $35,000 + ($9,400 * (5%,6))

= $35,000 + ($9,400 * 5.07569)

= $35,000 + 47,711

= $82,711

Present value = (Annuity amount * Present value of an ordinary annuity of $1)

= $17,700 * (5%,6)

= $17,700 * 5.07569

= $89,840

Alex should choose Option 1

Future value annuity = Annuity amount * Future value of an ordinary annuity of $1

= $180,000 * (6%,10)

= $180,000 * 13.1808

= $2,372,544

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What is the solution to the linear equation?
-12 +3b-1-5-b
b=-2
b = -1.5
b = 1.5
b = 2

Answers

Answer:

[tex]b = 2[/tex]

Step-by-step explanation:

[tex]( - 12 - 1 - 5) + (3b - b) \\ - 18 + 2b \\ 2b - 18 \\ b = 2[/tex]

what is the equation

Answers

Answer:

[tex]y = \sin( \frac{2\pi}{3} x) [/tex]

Step-by-step explanation:

The equation of a sine function is y = a sin(bx), where a = amplitude (aka height) and b equals period (aka time). I'm assuming there isn't any information other than the graph shown, so let's assume that our amplitude is 1 and our period is 2pi/3. Plugging these values into the equation, we get:

[tex]y = (1) \sin(( \frac{2\pi}{3})x ) = \sin(\frac{2{\pi} }{3}x )[/tex]

what are the intercepts of x^2 +8x+16​

Answers

Answers:

x intercept = -4

y intercept = 16

The graph is shown below.

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

Explanation:

To determine the x intercept(s), we set the expression equal to zero and solve for x. In other words, we plug in y = 0 and solve for x.

y = x^2 +8x+16​

0 = x^2 +8x+16​

x^2 +8x+16​ = 0

(x+4)^2 = 0

x+4 = 0

x = -4

There's only one x intercept. It's located at the vertex of the parabola.

The location of the x intercept is the point (-4,0)

------------

To find the y intercept, we plug in x = 0 and compute like so:

y = x^2 +8x+16​

y = (0)^2 +8(0)+16​

y = 16

The y intercept is 16 which is located at (0,16)

Check out the graph below. It was made using the free app Desmos.

Help please I need it asap and thank you

Answers

Answer: 2.5

Step-by-step explanation:

The altitude of an equilateral (or isosceles) triangle bisects the side to which it is drawn.

HELPPP!!! can someone turn 3x−2=13 into a WORD problem. (i already know answer)

Answers

Answer:
2 less than 3 times a number is 13
Other Questions
Which of the following tool components is unlikely to present a hazard What impact, if any, have recent regulatory changes had upon Medigap plans? what does the international monetary system consist of? Triangle rst is dilated by a scale factor of 5 to form triangle r's't'. side r's' measures 40. what is the measure of side rs? in forward and futures contracts, the risk of non-fulfilment of contract terms is most likely borne by: The domain of the piecewise function is (-infinity,infinity).a. Graph the function.b. Use your graph to determine the function's range.f(x) =3x if x03 if x>0 In a product market, households provide income in return for __________.A.work and laborB.profit and wagesC.land and capitalD.goods and servicesPlease select the best answer from the choices providedABCD How did the opening of Suez Canal change the lives of Asians? HURRYYY PLLLSLLSLSLSLLLSLSLLSLSLSLLLSLSLSL The diagram shows a cone with slant height 10.5cm. If the curved surface area of the cone is 115.5cm. calculate correct to 3 Significant figures, the base radius, r ,height h Volume of the cone [take 22/7] a number is tripled and then increased by four. the result is seventy-nine. what is the original number? Which of the following is most likely the next step in the series? A boater is accompanied by a person at least 16 years of age. In michigan, what is the youngest age that this person can be and legally operate a boat powered by a motor of more than 35 hp?. 100 POINTS urgent plssss"It was perfectly clear to me what I ought to do. I ought to walk up to within, say, twenty-five yards of the elephant and test his behavior."The words "perfectly," "say," and "test" support what type of word choices? (5 points)FormalDomain specificInformalPreciseand "The sole thought in my mind was that if anything went wrong those two thousand Burmans would see me pursued, caught, trampled on and reduced to a grinning corpse like that Indian up the hill. And if that happened it was quite probable that some of them would laugh. That would never do."Which phrase demonstrates the author's choice to include literal statements? (10 points)If anything went wrongLike that IndianThe sole thoughtWould see me pursuedTHXXXX which nation did richard nixon use the detente concept in the 1970s? north korea, china, saudi arabia In the standard Normal distribution, which z-score represents the 99th percentile?Find the z-table here.3.002.332.333.00Picture posted below 1) Which statement is needed to fill in the blank in this syllogism? If two lines are parallel, then ____________________. If the lines never intersect, then the lines have the same slope. Therefore, if two lines are parallel, then the lines have the same slope.A) the lines have the same slope B) the lines never intersectC) the lines have the same equationD) the lines are continuous If a soup recipe yields 20 gallons, how many 5 fluid ounce portions will the recipe yield? Yolanda invests $30,000 in an account that offers a compound interest rate of 7.9% per year. Which of the following is the correct equation for how much Yolanda will have in year 10? justify the statement nuclear energy is harmful as well as useful How you can discourage anyone from sending inappropriate pictures through text?