Let A be the class of languages accepted by FAs and B the class of languages represented by regular expressions. Which of the following is correct? (5 pt) (a) B n A = ∅
(b) A C B
(c) A = B (d) |A| > |B|

Answe(0.5x²-180x+25,885= 47,925.25

Step-by-step explanation:

x=1

Answer:

x = 0

y = 2

Step-by-step explanation:

Answer:

  no, the vertex of Function A is 6 units lower

Step-by-step explanation:

The vertex of Function A can be found several ways:

__

To put the equation in vertex form, we can consider separately the variabel terms and the constant. Once we have the variable terms separated, we can "complete the square" and then simplify the result to vertex form. The vertex form of a quadratic is ...

  y = a(x -h)² +k . . . . for vertical scale factor 'a' and vertex (h, k)

We have ...

  y = 2x² +12x +10

  y = 2(x² +6x) +10

We complete the square by adding the square of half the x-coefficient inside parentheses. We subtract the same quantity outside parentheses, so we don't change the equation any.

  y = 2(x² +6x +9) +10 -2(9)

  y = 2(x +3)² -8 . . . . . . simplify to vertex form

The vertex of Function A is (-3, -8), which is (-2 -(-8)) = 6 units lower than the vertex of Function B in the graph. Bob is incorrect.

__

The axis of symmetry of quadratic expression ax² +bx +c is x=-b/(2a). For the given Function A, the axis of symmetry is ...

  x = -12/(2(2)) = -3

The height of the vertex is the y-value for that x-value:

  y = 2(-3)² +12(-3) +10 = 18 -36 +10 = -8

This is lower than the vertex of the graphed function, which is at y=-2. Bob is incorrect.

__

The graph of Function A is the solid red curve in the attached. The graph of Function B is added as the dashed blue curve for reference. The graph clearly shows the vertex of Function A is lower than that of Function B. Bob is incorrect.

_____

Additional comment

Modern graphing calculators make the graphing option the quickest and easiest way to find the vertex of the function. The only "work" is to type the equation into the calculator.

Raul's distance from Main street decreases in the interval,

0 ≤ t ≤ 0.75. And Raul walks 6 miles to get to school.

The length of the line segment bridging two points on a plane is known as the distance between the points.

The formula to find the distance between the two points is usually given by d=√{(x₂-x₁)² + (y₂-y₁)²}.

Given:

Raul crosses Main Street when he walks home from school.

The graph of the function d(t)=4I(t-0.75)I shows Raul's distance, in miles, from Main Street after t hours.

The domain of the function is 0 ≤ x ≤ 1.5.

The graph shows his entire trip.

From the graph;

Raul's distance from Main street decreases in the interval,

0 ≤ t ≤ 0.75.

And to get to school,

Raul walks,

distance = (distance when t = 1.5) - (distance when t = 0)

Distance = (4 x 0.75) - (4 x -0.75)

Distance = 3 -(-3)

Raul walks = 6 miles.

Therefore, Raul walks 6 miles to get to school.

To learn more about the distance between two points;

https://brainly.com/question/24485622

#SPJ1

The complete question is given on the attached image,

Step-by-step explanation:

t=20/(r-50)t=20/r-50

Answer:

mean 24.2

median 25

Step-by-step explanation:

6 11 25 31 48

The variance of X is 55, and the expectation of X is 31.

(a) If the distribution of X is modeled by a discrete uniform distribution, then we must assume that each of the 30 cards has an equal probability of being chosen at random and that the outcomes are mutually exclusive and collectively exhaustive.

(b) Since the distribution of X is modeled by a discrete uniform distribution, the probability of X taking any value between 2 and 60 (inclusive) is the same, i.e., 1/30. Therefore, the expected value of X can be calculated as:

E(X) = (2 + 4 + ... + 60)/30 = 31

To calculate the variance of X, we first need to find the variance of a single trial, and then multiply it by the number of trials (which is 30 in this case). The variance of a single trial can be calculated using the formula:

\(Var(X) = E(X^2) - [E(X)]^2\)

where E(X^2) is the expected value of \(X^2\). Since the distribution of X is uniform, the expected value of \(X^2\) can be calculated as:

\(E(X^2) = (2^2 + 4^2 + ... + 60^2)/30 = 1234\)

Substituting this and the value of E(X) into the formula for variance, we get:

\(Var(X) = 1234 - 31^2 = 55\)

Therefore, the variance of X is 55, and the expectation of X is 31.

Learn more about normal distribution here:

https://brainly.com/question/29509087

#SPJ1

Step-by-step explanation:

Solve for k by simplifying both sides of the inequality, then isolating the variable.

Inequality Form:

K>2

Interval Notation:

(2,∞)

Answer:

3.43

Step-by-step explanation:

This because 22.89 multiplied by %15 is 3.4335 but of course just put the first 3 numbers and the place holder.  

Answer:

a=25 , b=14

Step-by-step explanation:

a) Based on mathematical expressions, Olivia and Danny have each filled 16 baskets in 1 hour.

A mathematical expression combines variables, constants, numbers, and values with mathematical operands like addition, subtraction, division, and multiplication.

Mathematical expressions are not like equations, which are mathematical statements with the equation symbol (=), but they can be used to form equations.

                                                      Danny  Olivia

The number of baskets of apples   11        12

Filling rate per hour                          5         4

Let the number of hours for Danny to fill a basket = x

Let the number of hours for Olivia to fill a basket = y

Let the total number of baskets filled by Danny in x hours = 11 + 5x ... Expression 1

Let the total number of baskets filled by Olivia in x hours = 12 + 4x ... Expression 2

For the cousins to fill the same number of baskets:

11 + 5x = 12 + 4x

5x - 4x = 12 - 11

x = 1

Thus, using mathematical expressions, the cousins will fill 16 baskets in 1 hour.

Learn more about mathematical expressions at https://brainly.com/question/1859113

#SPJ1

The probability P(25 ≤ X < 30) can be approximated using the normal approximation to the binomial distribution.

However, the specific value for P(25 ≤ X < 30) among the given options cannot be determined without further calculation or information.

To approximate the binomial distribution using the normal distribution, we need to consider the conditions for using the normal approximation. The binomial distribution can be approximated by a normal distribution if both np and n(1-p) are greater than or equal to 5, where n is the number of trials and p is the probability of success.

In this case, n = 80 and p = 0.25, so np = 80 * 0.25 = 20 and n(1-p) = 80 * 0.75 = 60. Since both np and n(1-p) are greater than 5, we can use the normal approximation.

To calculate P(25 ≤ X < 30) using the normal approximation, we need to find the z-scores corresponding to 25 and 30 and then use the standard normal distribution table or a calculator to find the area between these two z-scores.

The z-score formula is given by:

z = (x - μ) / σ

Where x is the observed value, μ is the mean of the binomial distribution (np), and σ is the standard deviation of the binomial distribution (√(np(1-p))).

For 25, the z-score is:

z₁ = (25 - 20) / √(20 * 0.75)

For 30, the z-score is:

z₂ = (30 - 20) / √(20 * 0.75)

Once we have the z-scores, we can use the standard normal distribution table or a calculator to find the probability between these two z-scores. However, without performing the actual calculations, we cannot determine the specific value among the given options (a, b, c, d) for P(25 ≤ X < 30).

To know more about probability click here

brainly.com/question/15124899

#SPJ11

According to the information, we can infer that A. 1: Real, Rational, Integer, Whole, Natural, B. 5.1: Real, Rational, C. √(-142): Non-real, D. \(\pi\) (Pi): Irrational, Real, E. 2/3: Rational, Real, F. ∛(-27): Non-real, G. 0.671: Real, Rational, H. 3√7: Irrational, Real, I. 0: Real, Rational, Integer, Whole, Natural, J. -√16: Real, Rational.

Learn more about numbers in: https://brainly.com/question/24908711
#SPJ1

Answer:

the answer is B

Step-by-step explanation:

Answer:

Step-by-step explanation:

102

Answer:

(1, 8), (2, 4)

Answer:

\(\frac{25\sqrt{3} }{8}\)

Step-by-step explanation:

CosA = \(\frac{1}{2}\) , so <A is 60º

Hypotenuse (c) is 5

Opposite is (b)

Adjascent is (a)

cos A = \(\frac{adjascent}{hypotenuse}\) -----> \(\frac{1}{2} = \frac{a}{5}\) ---------> a = \(\frac{5}{2}\)

Pytagoras

\(5^{2} = (\frac{5}{2}) ^{2} + b^{2}\\ b^{2} = 25 - \frac{25}{4} \\b^{2} = \frac{75}{4} \\\\b = \frac{5\sqrt{3} }{2}\)

A = b . a . 1/2

A = \(\frac{25\sqrt{3} }{8}\)

CosA =  , so <A is 60º

Hypotenuse (c) is 5

Opposite is (b)

Adjascent is (a)

cos A =  ----->  ---------> a =  

Pytagoras

A = b . a . 1/2

A =

Step-by-step explanation:

Answer:

f(5) = 22; f(9) = 34

Step-by-step explanation:

f(5) = 3(5) +7

f(5) = 22

f(9) = 3(9) +7

f(9) = 34

the pinecone hits the ground after 5/4 seconds.

To determine when the pinecone hits the ground, we need to find the value of t when the height y is equal to 0.

The given function is:

y = -16t^2 + 25

Setting y to 0:

0 = -16t^2 + 25

To solve this equation, we can subtract 25 from both sides:

-25 = -16t^2

Dividing by -16:

t^2 = 25/16

Taking the square root of both sides:

t = ±√(25/16)

Simplifying the square root:

t = ±(5/4)

Since time cannot be negative in this context, we take the positive value:

t = 5/4

Therefore, the pinecone hits the ground after 5/4 seconds.

To know more about Equation related question visit:

https://brainly.com/question/29657983

#SPJ11

Answer:

90-99=86x45[80[

Step-by-step explanation:

Answer:

The function g(x) = √(x - 3) is defined for all real numbers x such that x - 3 ≥ 0, since the square root of a non-negative number is a real number.

Solving for x, we have:

x - 3 ≥ 0

x ≥ 3

Therefore, the domain of the function is D: [3, ∞).

Since the square root of a non-negative number is always non-negative, the range of the function is R: [0, ∞).

Therefore, the correct answer is: A. D: [3, ∞) and R: [0, ∞).

Answer:

measure of BAD=180-110

measure of BAD=180-110 =70

To find the critical points at which profit is maximized given the total revenue TR = 4700 - 302 and total cost TC = 320/10,500, we need to compute the marginal revenue and marginal cost, equate MR = MC to find the optimal quantity Q∗, verify if Q∗ is a relative maximum point, and compute the maximum profit level (π) by evaluating π∗ = 9(π(Q∗)).

Marginal Revenue (MR) is the derivative of the total revenue function with respect to quantity (Q). In this case, MR = dTR/dQ. By taking the derivative of TR = 4700 - 302 with respect to Q, we can find the expression for MR.

Marginal Cost (MC) is the derivative of the total cost function with respect to quantity (Q). In this case, MC = dTC/dQ. By taking the derivative of TC = 320/10,500 with respect to Q, we can find the expression for MC.

To find the optimal quantity Q∗, we equate MR and MC by setting MR = MC and solve for Q. This is because profit is maximized when MR equals MC.

Once we have found Q∗, we need to verify if it is a relative maximum point. This can be done by checking the second derivative of the profit function and determining if it is negative at Q∗. If the second derivative is negative, it confirms that Q∗ is a relative maximum point.

Finally, to compute the maximum profit level (π∗), we evaluate π(Q∗) by substituting Q∗ into the profit function. In this case, we can multiply the value of π(Q∗) by 9 to obtain the maximum profit level (π∗).

Learn more about relative maximum point here:

https://brainly.com/question/32310828

#SPJ11

Answer:

18

Step-by-step explanation:

Alright so here you have to work backwards. the volume of a cylinder is pi*r^2*h.

Your equation: 486 pi = pi*r^2*6

You know the height is 6 feet, so you can get rid of the 6 feet hanging off of your equation by dividing both sides by 6:

81 pi = pi*r^2

Now you notice that both sides have pi. You can eliminate it by dividing both sides by pi:

81 = r^2

To isolate the r, radius, you have to take the square root of both sides, since a square root is the inverse operation of squaring. You get:

9 = r

Now that you have the radius, you can find the diameter by multiplying the radius by 2, because a diameter = 2 * the radius:

18 = d

Hope this helps!

Answer:

Plan B

Step-by-step explanation:

If you multiply 21 by $2.50 you get $52.5 then add $5 you get 57.5 and that's you outcome for Plan A

but if you multiply 21 by $1.50 you get $31.5 then add $24 you get $55.5 so the best and cheapest plan would be Plan B

here this probally will help

Answer:

5, 3

Step-by-step explanation:

The volume of a pyramid is 60 inches.

Given that,

A pyramid's volume varies in tandem with both its base area and height. When a pyramid's base is square inches and its height is inches, its volume is cubic inches.

V1 = 35 cubic inches

A1 = 15 square inches

h1 = 7 inches

A2 = 36 inches

h2 = 5 inches

To find  : What is V2

The following formula is used to determine a pyramid's volume:

V = (Base Area × Height)/3

V2 = (36 square inches multiplied by 5)/3

V2 = 60 cubic inches

To learn more about volume click here:

brainly.com/question/17615619

#SPJ4

The minimum number of terms required for the sum sn to have an error less than 0.0399, assuming K = 1 and b-a = 1.

To determine the minimum number of terms n required for the sum sn to have an error less than 0.0399, we need to use the formula for the error term of a finite series:

|En| ≤ ((M * (b-a)^n)/(n!))

where En is the error term, M is the maximum value of the (n+1)th derivative of the function, a and b are the limits of integration, and n is the number of terms in the series.

Since we do not have a specific function or limits of integration, we cannot determine the exact value of M. However, we can use an upper bound for M, which is the maximum value of the (n+1)th derivative of the function over the entire interval [a,b]. Let's assume that M = K, where K is some constant.

Then we have:

|En| ≤ ((K * (b-a)^n)/(n!))

We want the error to be less than 0.0399, so we can set up the following inequality:

((K * (b-a)^n)/(n!)) < 0.0399

To solve for n, we need to use a numerical method such as trial and error, or a graphing calculator. We can also use a table of values for n! and (b-a)^n to simplify the inequality.

For example, if we assume that K = 1 (which is a reasonable assumption for many functions), and let b-a = 1 (i.e. we are integrating over the interval [0,1]), we can create a table of values for n! and (b-a)^n:

n | n! | (b-a)^n
--|----|---------
1 | 1  | 1
2 | 2  | 1
3 | 6  | 1
4 | 24 | 1
5 | 120| 1
6 | 720| 1

Using these values, we can rewrite the inequality as:

(K/n!) < (0.0399/(b-a)^n)

Plugging in our values, we get:

1/n! < 0.0399

Solving for n using trial and error or a graphing calculator, we find that n = 4 is the minimum number of terms required for the sum sn to have an error less than 0.0399, assuming K = 1 and b-a = 1. However, keep in mind that this value may change depending on the specific function and limits of integration.

For more about minimum number:

https://brainly.com/question/29198746

#SPJ11

The researcher should use regression analysis, as a statistical tool,  because the researcher is working with two variables measured.

Regression analysis is the most widely used statistical tool that can be used to find out the relation between a set of variables. Thus, from its results, it is possible to analyze the trend or make predictions.  In a regression analysis, it is considered the relationships between two or more variables and it is very similar to correlation.

Like the researcher is working with two variables measured at the interval level. The researcher should use regression analysis.

Read more about the regression analysis here:

https://brainly.com/question/26677136

Answer:

hjhjvv

Step-by-step explanation:

jg bb ;jhm b m

jjonmk

bj

'ol

B