Are the following figures similar? (1 point)

Yes; the corresponding angles are congruent
No; the corresponding angles are not congruent
yes; the corresponding sides are proportional
no; the corresponding sides are not proportional ​

To find a recurrence relation for the number of bit strings of length n not containing two consecutive 1s, we simply add the possibilities from cases when the last bit is a 0 and the last bit is a 1.

We are required to find a recurrence relation for the number of bit strings of length n that do not contain two consecutive 1s. To do this, we will consider two cases:

1. The last bit is a 0

2. The last bit is a 1

Case 1: If the last bit is a 0, the bit string of length n can end in any bit string of length n-1 (since adding a 0 at the end does not create consecutive 1s). Let's call the number of such bit strings with no consecutive 1s A_n. So, in this case, there are A_(n-1) possibilities.

Case 2: If the last bit is a 1, the bit string of length n must end in a bit string of length n-2 (since adding a 1 after a 0 does not create consecutive 1s). In this case, there are A_(n-2) possibilities.

To find the total number of bit strings of length n with no consecutive 1s, we simply add the possibilities from both cases. Therefore, the recurrence relation can be defined as:

A_n = A_(n-1) + A_(n-2)

This is the recurrence relation you need to determine the number of bit strings of length n that do not contain two consecutive 1s.

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Answer:

function is non linear and decreasing

Step-by-step explanation:

between x=4 and x=6 the line has a negative slope, meaning that it is decreasing, and it can't be a linear function because a linear function a function whose graph is a straight line.

hope this helps!

After the 6-for-1 stock split, the stock price will be $16.41 per share, assuming no market imperfections or tax effects.

A stock split is a process in which a company increases the number of shares outstanding while proportionally reducing the price per share. In this case, the company plans a 6-for-1 stock split, which means that for every existing share, shareholders will receive six new shares.

To determine the post-split stock price, we divide the original stock price by the split ratio. The original stock price is $98.48, and the split ratio is 6-for-1. Therefore, we calculate:

$98.48 / 6 = $16.41

Hence, after the 6-for-1 stock split, the stock price will be $16.41 per share. This means that each shareholder will now hold six times more shares, but the value of their investment remains the same.

It is important to note that in practice, market imperfections, investor sentiment, and other factors can influence the stock price after a split. However, assuming no market imperfections or tax effects, the calculated value of $16.41 represents the theoretical post-split stock price.

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The value of the determinant det(3A - 2B7) + 1 is :

82.

Find the value of the determinant, det(3A - 2B7)

det(3A - 2B7) = 3^4 det(A) - 2^4 det(B)

Since det(A) = 1 and B is a singular matrix (det(B) = 0), we have:

det(3A - 2B7) = 3^4 (1) - 2^4 (0) = 81

Add 1 to det(3A - 2B7)

det(3A - 2B7) + 1 = 81 + 1 = 82

Therefore, the value of det(3A - 2B7) + 1 is 82.

Hence the correct option is 2.

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The t-statistic determines the statistical significance of a regression coefficient.

The t-statistic is used to measure how extreme a statistical estimate is compared to the hypothesized value.A t-value close to zero indicates that the hypothesized value is reasonable.

A very positive t-value indicates that the hypothesized value is not large enough.A very negative t-value indicates that the hypothesized value is too large.

The t-statistic is commonly used in hypothesis testing to determine whether a regression coefficient is statistically significant or not. If the t-value exceeds the critical value, then the coefficient is considered statistically significant at a certain level of confidence.

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Answer:

step 4

Step-by-step explanation:

Answer:

See below in bold.

Step-by-step explanation:

y = -x^2 - 2x - 5

Convert to vertex form:

y = -(x^2 + 2x) - 5

y = - [(x + 1)^2 - 1] - 5

y = -(x + 1)^2  + 1 - 5

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

So the vertex of the graph is at (-1 , -4) and it is a maximum because the coefficient of x^2 is negative.

So the range is all values of f(x) up to and including -4.

In interval notation this is (-∞, -4].

Answer:

a) n less than or equal to 21

b) n greater than or equal to 5

c) n > 3/5

Step-by-step explanation:

i hope this helps!!

Answer:

A.) n ≤ 21

B.) n  ≥ 5

C.) n > 3/5

Step-by-step explanation:

For the first question it says that the number is no more than 21, so it could be equal to or less than 21

For the second question, it says that the number is at least 5, so it could be equal to or greater than 5

Finally, for the last question it says that the number is more than 3/5, so greater than would be the correct inequality symbol to use

Yes, the sequence is geometric as it follows a pattern where each term is multiplied by a common ratio to get the next term. In this case, we can find the common ratio by dividing any term by its preceding term.

Let's choose the second and first terms:Common ratio = (second term) / (first term)= (-4) / (-2)= 2Now that we know the common ratio is 2, we can use it to find any term in the sequence. For example, to find the fourth term, we can multiply the third term (-16) by the common ratio:Fourth term = (third term) × (common ratio)= (-16) × (2)= -32Therefore, the fourth term of the sequence is -32. We can continue this pattern to find any other term in the sequence.

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Given that X and Y are two different numbers selected from the first fifty counting numbers from 1 to 50 inclusive. We need to determine the largest value that X Y/X-Y can have.First of all, we can find the range of values for X and Y. Since we are dealing with counting numbers, the range is from 1 to 50 inclusive.

So, X can take any value from 1 to 50, and Y can take any value from 1 to 49. (Since X and Y are different numbers, one value from the range of values is subtracted from the total number of counting numbers to obtain the range of values for Y)We need to find the largest possible value of the expression X Y/X-Y. To do that, we need to consider two cases:Case 1: When X > YIn this case, we can write X as Y + k, where k is a positive integer (since X and Y are different numbers).Substituting X as Y + k in the expression X Y/X-Y, we get:(Y + k)Y / (Y + k - Y) = (Y + k)Y / k = Y²/k + YCase 2: When Y > XIn this case, we can write Y as X + k, where k is a positive integer.

Substituting Y as X + k in the expression X Y/X-Y, we get:X(X + k) / (X + k - X) = X(X + k) / k = X²/k + XSince we need to find the largest value of the expression X Y/X-Y, we need to find the maximum value of the expression in both the cases. From the above expressions, it can be observed that Y²/k + Y will be maximum when k is minimum, and X²/k + X will be maximum when k is minimum.Therefore, to find the largest value of the expression, we need to take k as 1. In other words, X is the next number after Y.Hence, the largest value that X Y/X-Y can have is 49 * 50 / (49 - 1) = 2450.

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Answer:

4 feet

Step-by-step explanation:

We start by subtracting the 6 from the 14, to get the leftover space on the wall, 8 feet. We then divide that by two, since if the painting is centered there will be two equally-sized spaces on either side of it. This means that X = 4 feet.

Answer:

-3a³ + 3ba²

Step-by-step explanation:

1) Distribute

-3a² (a-b)

-3a³ + 3ba²

In the theater, that have 1,464 seats.

1426 seats are in "regular" sections

38 seats are  "premium" front-row section

The seat arrangement is solved by division. In this case the 62 equal spaced is the divisor while the number of seats is the in each row is the quotient

The division is as follows

1464 / 62

= 23 19/31

The number of seats in the regular section is 23 * 62 = 1426

The remainder will be arranged in premium front row

using equivalent fractions

19 / 31 = 38 / 62

the remainder is 38 and this is the seat for the premium front row section

OR 1464 - 1426 = 38 seats

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Answer:

\(252 + 10h \ge 575\)

Step-by-step explanation:

Given

\(Savings = 252\)

\(Target=575\) -- atleast

\(Earnings = \$10\) per hour

Required

Represent as an inequality

Suppose that she babysits for h hours, her total earnings would be:

\(Total\ Earnings = 10h\)

In inequalities:

At least means \(\ge\)

So, when the total earnings is added to her savings, we have:

\(Savings + Total\ Earnings \ge Target\)

Substitute values for Savings, Total Earnings and Target

\(252 + 10h \ge 575\)

Answer:

Converse of the Alternate Exterior Angles Theorem.

Step-by-step explanation:

The alternate exterior angles theorem explains that "if a pair of parallel lines are cut by a transversal, then the alternate exterior angles are congruent." Judging from the fact that the problem is including <1 and <8, we can safely assume that it is including this theorem since both of said angles are on the exteriors of the pair of parallel lines. Not to mention that this principle also effectively proves that both lines are parallel to each other, thus proving this sentence true.

The following a probability model? what do we call the outcome No, the provided information is not sufficient to determine if it is a probability model. The outcome "red" is typically referred to as an event.

A probability model is a mathematical representation of a random experiment, where the sample space is defined, and probabilities are assigned to all possible outcomes. To determine if the given information is a probability model, we would need to know the complete list of possible outcomes, their corresponding probabilities, and ensure that the probabilities meet the necessary conditions (sum up to 1 and are non-negative).

Based on the limited information provided, we cannot determine if it is a probability model. The outcome "red" is called an event in the context of probability.

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Answer:

Hmmmmm. I think if you put it on quizziz or quizlet iy works

Step-by-step explanation:

Simple

Total no of marbles = 6 + 4 + 8 = 18

Probability of red marble = 6 / 18 = 1/ 3

The lateral area, total area, and volume of Cylinder 1 are 36π cm², 22π cm², and 36π cm³, respectively, and the lateral area, total area, and volume of Cylinder 2 are 58.24π m², 88.96π m², and 459.39π m³, respectively.

What is lateral area?

We can use the formulas for the lateral area, total area, and volume of a right circular cylinder to solve these problems. The formulas are:

Using these formulas and rounding off the answer to two decimal places, we get:

Cylinder 1:

Lateral area = 2πrh = 2π(2 cm)(9 cm) = 36π cm²

Total area = 2πr(r+h) = 2π(2 cm)(2 cm + 9 cm) = 22π cm²

Volume = πr²h = π(2 cm)²(9 cm) = 36π cm³

Cylinder 2:

Lateral area = 2πrh = 2π(4 m)(7.3 m) = 58.24π m²

Total area = 2πr(r+h) = 2π(4 m)(4 m + 7.3 m) = 88.96π m²

Volume = πr²h = π(4 m)²(7.3 m) = 459.39π m³

Therefore, the lateral area, total area, and volume of Cylinder 1 are 36π cm², 22π cm², and 36π cm³, respectively, and the lateral area, total area, and volume of Cylinder 2 are 58.24π m², 88.96π m², and 459.39π m³, respectively.

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Complete question is: The lateral area, total area, and volume of Cylinder 1 are 36π cm², 22π cm², and 36π cm³, respectively, and the lateral area, total area, and volume of Cylinder 2 are 58.24π m², 88.96π m², and 459.39π m³, respectively.

Answer:

Step-by-step explanation:

Members not using stepper or treadmill:

38% of 400 is:

Amount of interest after 2 years:

Total number of students in the poll is 150

Students choosing tacos and corn dogs:

24% in number:

Note. It says "how many more students" but its not applicable as there is nothing to compare. Consult this with your teacher.

Normal cost of television = $500

Reduced cost = $350

Cost reduction:

Percent reduction:

Regarding the graphs of the functions \(h(x) = x^2 - 4\) and \(g(x) = (x - 4)^2,\) the following statements are true:

The vertex of the graph of h(x) is located at (0, -4), while the vertex of the graph of g(x) is located at (4, 0).

The vertex represents the minimum or maximum point of the parabola.

The graph of h(x) opens upwards, indicating a positive coefficient for the \(x^2\)  term, while the graph of g(x) also opens upwards due to the positive coefficient of the squared term \((x - 4)^2.\)

The graph of h(x) intersects the x-axis at x = -2 and x = 2, indicating the solutions to the equation \(x^2 - 4 = 0.\)

On the other hand, the graph of g(x) intersects the x-axis at x = 4, representing the solution to the equation \((x - 4)^2 = 0.\)

It's important to note that the graph of h(x) is a standard quadratic function, while the graph of g(x) is a quadratic function with a horizontal shift of 4 units to the right.

The differences in their vertex, x-intercepts, and shape indicate these variations between the two functions.

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Answer:

orthocenter

Step-by-step explanation:

I just did it

The term which describes the point V is Orthocenter, the correct option is B.

The point of intersection of a triangle's medians is its centroid (the lines joining each vertex with the midpoint of the opposite side).

If the triangle has its vertices as  \((x_1, y_1), (x_2, y_2) , \: (x_3, y_3)\), then the coordinates of the centroid of that triangle is given by:

\((x,y) = \left( \dfrac{x_1 + x_2 + x_3}{3} + \dfrac{y_1 + y_2 + y_3}{3} \right)\)

We are given that;

The figure

Now,

We know that in a triangle, whenever a line that passes through a vertex of the triangle such that is perpendicular to the opposite side is called an altitude of the triangle;

So, the point where all the three altitudes of the triangle meets is called its orthocenter .

From the given figure , we can conclude that the point V is the intersecting points of all the altitudes of the triangle STU.

Therefore, by centroid concept the answer will be Orthocenter.

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Answer:

x y

1 3

2 6

3 9

Step-by-step explanation:

just plot the corresponding points onto your graph

Answer:10

Step-by-step explanation:

Answer and Step-by-step explanation:

Sol: the ratio formula is

x-x1/x2-x = ratio     and    y-y1/ y2-y= ratio

x-(-7)/0-x=2/1          and    y-17/0-y=2/1

x+7=2(-x)                   and   y-17 = -2y

x+2x=-7                    and y+2y =17

3x=-7                       and 3y = 17

x=-7/3                   and y= 17/3

coordinates of point p that partition the segment in ratio is (-7/3, 17/3)

The midpoint formula is:

M= (x1+x2/2,        y1+y2/2)

  = (-7+0/2,          17+0/2)

   = (-7/2,           17/2) are the midpoint of AB.

Answer:

Step-by-step explanation:

To perform synthetic division on this polynomial, we will first write the polynomial in standard form, with the terms arranged in decreasing order of the exponent:

(6x^4 - 12x^3 + 9x - 12)

Then, we will use the following steps to perform synthetic division:

Write the divisor, (x - 2), at the top of the division, and write the constant term of the polynomial, (-12), below it.

Multiply the divisor by the constant term and write the result below the constant term.

Bring down the next term of the polynomial, (9x), and add it to the result from step 2.

Multiply the divisor by the result from step 3 and write the result below it.

Bring down the next term of the polynomial, (-12x^3), and add it to the result from step 4.

Multiply the divisor by the result from step 5 and write the result below it.

Bring down the final term of the polynomial, (6x^4), and add it to the result from step 6.

The final result will be the quotient, and any remainder will be discarded. The result of the synthetic division is shown below:

(x - 2) | -12 9x -12x^3 6x^4

|-------------------

-12 6x -24x^2 36x^3

The quotient is (-12 + 6x - 24x^2 + 36x^3).

Note that we can check our work by multiplying the divisor, (x - 2), by the quotient, (-12 + 6x - 24x^2 + 36x^3), and verifying that the result is equal to the original polynomial.

Answer:

Total loss in three days = $393.75

Step-by-step explanation:

Given:

Loss amount = [-3/8] of normal profit

Normal profit per day = $350

Find:

Total loss in three days

Computation:

Total loss in three days = 3 [Normal profit per day][Loss amount]

Total loss in three days = 3 [350][3/8]

Total loss in three days = 3[131.25]

Total loss in three days = $393.75

Answer:

1.is the answer:)............

Answer:

m<1=50

m<2=130

m<3=50

m<4=130

m<5=40

m<6=40

m<7=90

m<8=140

Step-by-step explanation:

Answer:

z<1.5

Step-by-step explanation: