Let L = {a(^i)bbw|w ∈ {a, b} ∗ and the length of w is i}.
(a) Give two strings that are in L.
(b)Give two strings over the same alphabet that are not in
L.
(c)Give the state diagram for a determin

Given:

A figure.

To find:

The four line segments that have point B as an endpoint.

Solution:

If A and B are two points, then

Segment AB is written as \(\overline{AB}\).

Ray AB is written as \(\overrightarrow{AB}\). It means B is not the end point and the line is moving up to infinite.

Line segments that have point B as an endpoint are \(\overline{BA},\overline{BC},\overline{BH},\overline{BE},\overline{BF}\).

Only option B represents the four line segments that have point B as an endpoint.

Therefore, the correct option is B.

For the length of one side, "a," it can be form an infinite number of triangles using that side length.

In order to construct a triangle, we need at least three sides, and their lengths must satisfy the triangle inequality theorem.

The triangle inequality theorem states that the sum of the lengths of any two sides of a triangle must be greater than the length of the remaining side.

Given the length of side "a," choose any two additional side lengths that satisfy the triangle inequality theorem to form a triangle.

Since there are infinite possibilities for selecting the lengths of the other two sides as long as they satisfy the inequality,

conclude that an infinite number of triangles can be formed.

Therefore, for 'a' as side length infinite number of triangles are possible.

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Answer:

it's C

Step-by-step explanation:

pink or purple hamster plz :D

omg paint strips, that's the way to go

The sequences of transformations that could be applied to the parent function will be:

A transformation of a function is a function that turns one function or graph into another, usually related function or graph.

In this case, the sequences of transformations could be applied to the parent function f(x) = x to obtain the graph of g.

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Answer: 72.5

Step-by-step explanation:

120% = 120/100 = 1.2

1.2*x = 87

x = 87/1.2 = 72.5

The actual width of the countertop is 4 feet

Given,

Valentina measured a kitchen and made a scale drawing;

The scale she used for the drawing = 1 inch ; 2 feet

The width of countertop of kitchen in drawing = 2 inches.

We have to find the actual width of the countertop;

Here,

The scale factor used in the drawing = 1 inch = 2 feet

1 inch  = 2 feet

2 inch = 2 x 2 = 4 feet

Now,

The actual width of the countertop = Width in drawing x 2

= 2 x 2 = 4 feet

That is,

The actual width of the countertop is 4 feet

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The data includes a concave mirror with a radius of curvature of +31.5 cm and magnification of m = 3.40. The formula for magnification is m = v/u, and the focal length is f = r/2. Substituting the values, we get u = v/m, and using the mirror formula, the distance of the object from the mirror is 10.15 cm.

Given data: Radius of curvature of a concave mirror, r = +31.5 cm Magnification produced by the mirror, m = 3.40

We know that the formula for magnification is given by:

m = v/u where, v = the distance of the image from the mirror u = the distance of the object from the mirror We also know that the formula for the focal length of the mirror is given by :

f = r/2where,f = focal length of the mirror

Using the mirror formula:1/f = 1/v - 1/u

We know that a concave mirror has a positive focal length, so we can replace f with r/2.

We can now simplify the equation to get:1/(r/2) = 1/v - 1/u2/r = 1/v - 1/u

Also, from the given data, we have :m = v/u

Substituting the value of v/u in terms of m, we get: u/v = 1/m

So, u = v/m Substituting the value of u in terms of v/m in the previous equation, we get:2/r = 1/v - m/v Substituting the given values of r and m in the above equation, we get:2/31.5 = 1/v - 3.4/v Solving for v, we get: v = 22.6 cm Now that we know the distance of the image from the mirror, we can use the mirror formula to find the distance of the object from the mirror.1/f = 1/v - 1/u

Substituting the given values of r and v, we get:1/(31.5/2) = 1/22.6 - 1/u Solving for u, we get :u = 10.15 cm

Therefore, the distance of the mirror from the face is 10.15 cm. The units are centimeters (cm).Answer: 10.15 cm.

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Answer: 1/4

Step-by-step explanation:

This is because a ratio is the same thing as a fraction.

Step 1: Rewrite  the ratio as a fraction

25:100

25/100

Step 2: Reduce the fraction

25/100= 1/4

Hope this helps :)) Brainliest would be appreciated :D

If the calculated required sample size is a non-integer value, we should always round up the calculated value

When calculating the required sample size for a study, the sample size formula often involves a combination of statistical parameters such as the desired level of significance, the desired power of the study, the expected effect size, and the variability in the data. Sometimes, these parameters may result in a non-integer value for the required sample size.

In such cases, it is important to round up the calculated value to the nearest whole number, as it is not possible to have a fraction of a participant in the study. This ensures that the sample size is large enough to adequately represent the population and achieve the desired level of statistical power.

For example, if a calculated sample size is 123.4, it should be rounded up to 124 to ensure that the sample is large enough to produce reliable and accurate results. Failing to round up can result in an underpowered study, which may lead to false negative results or failure to detect significant effects.

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Answer: (4,-7)

Step-by-step explanation:

when f(x) = \(x^3\) the vertex is (0,0). when g(x)= \((x-4)^3-7\) the vertex will be (4,-7). The equation is put into vertex form, in order for us to find the vertex (h,k), followed by \(y=a(x-h)^3+k\). With h=4 and k=-7.

Therefore, the answer is (4,-7)

Answer:

y = 9

Step-by-step explanation:

I think you might have written this problem wrong, but I think the question is asking me to find y in the equation:

\(-2y+6=-12\)

Lets start by subtracting 6 from both sides:

\(-2y+6-6=-12-6\)

Simplify:

\(-2y = -18\)

Multiply both sides by -1

\((-1)(-2y) = (-18)(-1)\)

Simplify(cancel duplicate negatives)

\(2y = 18\)

Divide both sides by 2

\(\frac{2y}{2}=\frac{18}{2}\)

Simplify(remove denominator)

\(y = 9\)

Therfore, y = 9

Answer: Equation 1: Y=2x+1

Step-by-step explanation:

Answer:

\(\langle4,-1\rangle\)

Step-by-step explanation:

To subtract two vectors, subtract the horizontal components with each other and the vertical components with each other:

\(w=\langle5,3\rangle\)

\(z=\langle1,4\rangle\)

\(w-z=\langle5,3\rangle-\langle1,4\rangle=\langle5-1,3-4\rangle=\langle4,-1\rangle\)

Therefore, the resulting vector is \(\langle4,-1\rangle\)

Answer:

IT IS CORRECT YAD

Step-by-step explanation:

Answer:

73384 kilotons

Step-by-step explanation:

=> Total amount the 1st year = 90,000

=> Since after the 1st yr, there was a reduction of 4%, so 100% - 4% = 96% or 0.96

=> Total time = 6

We know that the formula of a geometric sequence is;

aₙ = a₁ * r⁽ⁿ⁻¹⁾

In which;

Therefore we can finally say;

=> aₙ = a₁ * r⁽ⁿ⁻¹⁾

=> a₆ = 90,000 * 0.96⁶⁻¹

=> a₆ = 90,000 * 0.96⁵

=> a₆ = 73383.54

=> a₆ = 73384 (Rounded to the nearest whole number)

Therefore, rounding the answer to the nearest whole number, the answer would be; 73384 kilotons

Hope this helps! (Btw big shout out to jcherry99 for helping me figure this out!!)

Answer:

y= 4x + 9

Step-by-step explanation:

y= 4x+5

y= 4(x+ 5/4)

m, gradient= 4

rule if parallel: their gradients are equal

rule if perpendicular : m1*m2=-1

parallel gradient, m1=4

passes through (-2, 1) so x= -2,  y= 1

y - 1= 4(x -- 2)

y= 4x + 9

The line parallel to y= 4x+ 5 passing through point (-2, 1) is y = 4x + 9

The given equation is:

y = 4x + 5

Compare y = 4x + 5 with the equation y = mx + c

m = 4, c = 5

The equation parallel to y = 4x + 5 will also have a slope, m = 4

The point-slope form of the equation of a line is given as:

y - y₁ = m(x - x₁)

substitute m = 4, x₁ = -2 and y = 1 into the equation above

y - 1 = 4(x - (-2)

y - 1 = 4(x + 2)

y - 1 = 4x + 8

y = 4x + 8 + 1

y = 4x + 9

Therefore the line parallel to y= 4x+ 5 passing through point (-2, 1) is y = 4x + 9

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Answer:

6 I think

Step-by-step explanation:

7 + 5(x - 3) = 22

7 + 5x - 15 = 22

7 + 5x = 37

5x = 30

x = 6

{ 6 }

Answer:

C

=

(

a

,

b

)

the center coordinates of circle

a

=

2

 ,

b

=

−

1

  ,

r

=

8

Step-by-step explanation:

Answer:

yes this is a function because you cannot touch more than one point at any location on the line

Step-by-step explanation:

Answer:

Step-by-step explanation:

yes it is a function because it goes in a straight line and goes through x and y

Answer:

Step-by-step explanation:

To calculate the probability that none of the selected subjects left the treatment center against medical advice, we need to know the total number of subjects transported by helicopter and the number of subjects who left against medical advice.

Let's assume the total number of subjects transported by helicopter is 'N' and the number of subjects who left against medical advice is 'A'.

The probability that none of the selected subjects left against medical advice can be calculated using the hypergeometric probability formula:

P(X = 0) = (C(A, 0) * C(N - A, n)) / C(N, n)

Where:

C(n, r) represents the number of combinations of selecting 'r' items from a set of 'n' items.

In this case, since we want to calculate the probability of selecting none of the subjects who left against medical advice, we set X = 0.

Substituting the values, we have:

P(X = 0) = (C(A, 0) * C(N - A, n)) / C(N, n)

Simplifying further:

P(X = 0) = (C(0, 0) * C(N - A, n)) / C(N, n)

Since C(0, 0) = 1 (by convention), the formula becomes:

P(X = 0) = (1 * C(N - A, n)) / C(N, n)

Now, you need to provide the values of 'N', 'A', and 'n' in order to calculate the probability.

If you rent a car, you should choose Option 3 and accept the fixed price of $50 for gasoline if you expect to drive 150 miles.

1. Total gasoline consumed (gallons):

To calculate the total gasoline consumed, divide the expected distance by the car's fuel efficiency:

Total gasoline consumed = Distance / Fuel efficiency

Total gasoline consumed = 150 miles / 28 miles per gallon

Total gasoline consumed ≈ 5.36 gallons

2. Option 1 cost:

In Option 1, you need to return the car with a full gas tank. Since the car has a 16-gallon tank and you've consumed approximately 5.36 gallons, you need to fill up the remaining 16 - 5.36 = 10.64 gallons.

Option 1 cost = 10.64 gallons * $3.95 per gallon = $42.01

3. Option 2 cost:

In Option 2, you return the car without filling it up and pay $5.45 per gallon. As calculated before, you've consumed approximately 5.36 gallons.

Option 2 cost = 5.36 gallons * $5.45 per gallon = $29.20

4. Option 3 cost:

In Option 3, you accept the fixed price of $50 for gasoline. This fixed price is the most cost-effective option compared to the other two choices.

Therefore, the best choice is Option 3, accepting the fixed price of $50 for gasoline, as it offers a better value for the expected distance of 150 miles.

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The error is when she added 4 to both sides.

Instead, she should divide both sides by -4 to undo the multiplication. Specifically, the multiplication between the -4 term and the (x-2)^2 term.

This is one possible correction of what her steps could look like.

\(y = -4(x-2)^2\\\\\\0 = -4(x-2)^2\\\\\\\frac{0}{-4} = \frac{-4(x-2)^2}{-4}\\\\\\0 = (x-2)^2\\\\\\(x-2)^2 = 0\\\\\\\sqrt{(x-2)^2} = \sqrt{0}\\\\\\x-2 = 0\\\\\\x-2+2 = 0+2\\\\\\x = 2\\\\\\\)

In the third step, I'm dividing both sides by -4. In the sixth step, I'm applying the square root to both sides to undo the squaring operation. Then two steps later, I'm adding 2 to both sides to undo the "-2", which helps fully isolate x.

The only solution is x = 2, so it's the only x intercept. You can verify this answer by plugging x = 2 back into the original equation at the very top. You should end up with y = 0.

Note: The term "root" is another name for "x intercept".

Answer:

34° is the measure of the smallest angle

Step-by-step explanation:

The sum of the measures of the angles of a triangle is 180.

So, 5x + 6 + 2x + 3x + 4 = 180

                         10x + 10 = 180

                         10x = 170

                             x = 17

5x + 6 = 5(17) + 6 = 91

2x = 2(17) = 34

3x + 4 = 3(17) + 4 = 51 + 4 = 55

The expression equivalent to 4(15 - 7) is 32.

What is an expression?

An expression is a combination of values, variables, operators, and function calls that are evaluated to produce a result. An expression can be as simple as a single value or as complex as a multi-level nested set of calculations.

We can simplify the expression 4(15 - 7) by performing the operation inside the parentheses first (since parentheses take precedence over multiplication). We get:

15 - 7 = 8

Substituting this value back into the expression, we get:

4(8)

Multiplying 4 by 8, we get:

32

Therefore, the expression equivalent to 4(15 - 7) is 32.

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Complete question is: The expression equivalent to 4(15 - 7) is 32.

The distance to the top of the building changing when they are 60 feet from the base of the building is 2.19 ft/s.

In the given question we have to find how fast is the distance to the top of the building changing when they are 60 feet from the base of the building.

A family is walking toward their home, which is in an apartment building 123 feet tall.

They are walking at a rate of 5 ft/sec.

So according to the given statement diagram is

In the diagram x represent base and s represent the distance.

Using the Pythagorean theorem to find the value of s.

So the equation should be

\(s^2=x^2+(123)^2\)........................(1)

From the question, x=60 feet

Now putting the value

\(s^2=(60)^2+(123)^2\)

\(s^2\) = 3600+15129

\(s^2\) = 18729

s = 136.85

Differentiate equation 1 with respect to t using the power rule then solve the expression for ds/dt

2s ds/dt=2x dx/dt+0

2s ds/dt= 2x dx/dt

Divide by 2s on both side, we get

ds/dt= x/s dx/dt.......................(2)

They are walking at a rate of 5 ft/sec.

So dx/dt=5

Putting the value in the equation 2

ds/dt=60/136.85 ×5

ds/dt=0.438×5

ds/dt=2.19 ft/s

The distance to the top of the building changing when they are 60 feet from the base of the building is 2.19 ft/s.

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Therefore, the standard deviation for the number of people with the genetic mutation in groups of 500 is approximately 6.726.

To find the standard deviation for the number of people with the genetic mutation in groups of 500, we can use the binomial distribution formula.

Given:

Probability of having the genetic mutation (p) = 0.09

Sample size (n) = 500

The standard deviation (σ) of a binomial distribution is calculated using the formula:

σ = √(n * p * (1 - p))

Substituting the given values:

σ = √(500 * 0.09 * (1 - 0.09))

Calculating the standard deviation:

σ ≈ 6.726 (rounded to three decimal places)

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Answer:

$10,000.

Step-by-step explanation:

You divide by 95% ( = 0.95)

So it is 9500 / 0.95.

= 10000

The weight of the toy car will be: m = 5N/g

To determine the weight of the toy car, we need to consider the gravitational force and the force applied by the brake.

On a 30 degree incline, the gravitational force can be resolved into two components: a vertical component and a horizontal component.

The vertical component of the gravitational force can be calculated using the formula:

m * g * sin(30)

where m is the mass of the toy car and g is the acceleration due to gravity (9.8 m/s^2 on the surface of the Earth).

The horizontal component of the gravitational force can be calculated using the formula:

m * g * cos(30)

The net force on the toy car can be calculated by subtracting the force applied by the brake from the total force.

The force balance equation can be written as:

m * g * sin(30) - 10 N = 0

Solving for m, we can find the weight of the toy car:

m = 10 N / (g * sin(30))

Note: The angle should be converted to radians for use in the sin function.

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The value of correct option for maps ΔABC to a triangle that is similar, but not congruent, to ΔABC are,

⇒  dilation with scale factor 2 about the origin

We have to given that;

To find correct option for maps ΔABC to a triangle that is similar, but not congruent, to ΔABC

Since, We know that;

For any translation the condition of congruency is not change.

But for any type of dilation condition of congruency for triangles are change.

Thus, The value of correct option for maps ΔABC to a triangle that is similar, but not congruent, to ΔABC are,

⇒  dilation with scale factor 2 about the origin

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The length of the longest side of the given triangle is 124mm.

To find the length of the longest side of a triangle, we need to follow these steps:

Step 1: Use the perimeter formula

P = a + b + c,

where a, b, and c are the lengths of the sides of a triangle.

Step 2: Simplify the given equation,

P = (5x + 3) + (7x + 5) + (12x - 20).

Step 3: Combine like terms and solve for x,

24x - 12 = 276, 24x = 288, x = 12.

Step 4: Substitute the value of x into each expression to find the lengths of the sides,

a = (5x + 3) = 63,

b = (7x + 5) = 89,

c = (12x - 20) = 124.

Step 5: Find the longest side of the triangle. The longest side is c = 124mm.

The length of the longest side of the given triangle is 124mm.

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Answer:

Yellow White And Orange I pretty Sure!! Im sorry if this is not what you want! I can change it if so.

Step-by-step explanation: