In 1980, James planted a tree that was 1 foot tall. In 1996, that same tree was 81 feet tall. James finds that the height of the tree can be modeled by the
radical function () = vkt + 1 where H (t) is the height of the tree in feet, t, is the number of years since 1980, and k is a specific constant. What is
the value of k?

Answer:

3*3*3 or 3^3

Step-by-step explanation:

27/3=9/3=3

so 3*3*3 or 3^3

The solution is

y=x+4

y=-2x-4

Slope of a Line :

The ratio of the change in the y coordinate to the change in the x coordinate is known as a line's slope in mathematics.

Y and X, respectively, stand for the net change in the y-coordinate and the net change in the x-coordinate.

As a result, the formula for the change in y-coordinate with respect to the change in x-coordinate is m = change in y/change in x = y/x.

where the slope of a line is denoted by "m".

The graph of the equation y = mx + c has a slope of m, an intercept of m, and a y-intercept of c. In the slope-intercept version of the linear equation, m and c are real integer values.

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The expression L[2cosh3(t-k).H(t-k)] represents the Laplace transform of the function 2cosh3(t-k) multiplied by the Heaviside step function H(t-k), where H(t-k) is equal to 1 for t ≥ k and 0 for t < k. The Laplace transform of a function is a mathematical operation that converts a function of time into a function of complex frequency s.

To find the Laplace transform of the given expression, we can apply the linearity property of the Laplace transform. First, we can take the Laplace transform of the cosh function, which is a standard result. Then, we can apply the Laplace transform to the Heaviside step function, which introduces a time shift. The resulting Laplace transform will depend on the variable s and the parameter k.

The explicit calculation of the Laplace transform requires the specific values of k and the Laplace transform pair for the cosh function. Without these values, it is not possible to provide the exact expression for the Laplace transform of L[2cosh3(t-k).H(t-k)].

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Answer:

k = 7

m = 8

Step-by-step explanation:

the diagonals of a parallelogram bisect each other so:

k + 4 = 11

k = 7

m = 8

Yes it is possible. We could draw a trapezoid that has 2 right angles as shown below. A trapezoid has only one pair of parallel sides. A parallelogram needs both pairs of opposite sides to be parallel.

Yes, it is conceivable. As shown below, we could draw a trapezoid with two right angles.

A quadrilateral is a four-sided polygon with four edges and four corners in geometry. A trapezoid is a quadrilateral with at least one pair of parallel sides. The parallel sides are known as the trapezoid's bases.

Yes, it is conceivable. As shown below, we could draw a trapezoid with two right angles. A trapezoid has only one parallel pair of sides. Both pairs of opposite sides of a parallelogram must be parallel.

The shape of the required quadrilateral is attached with the answer below.

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Answer:

x 5 y 3

Step-by-step explanation:

brainliest

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Answer:   A  C and D

Step-by-step explanation:

Answer:

9

Step-by-step explanation:

270/30=9

Answer:

(0,3)

Step-by-step explanation:

Answer:

b=(28+a²)^½

Step-by-step explanation:

but i couldnt find the numerical value of b since the value of a wasn't given

Answer:

he can get 6 shirts

Step-by-step explanation:

12.60 x 26.5

333.9 - 280

53.9 ÷ 8.6

6

Answer:

6

Step-by-step explanation:

Answer:

Step-by-step explanation:

Solving systems of equations gives the points of intersection when the equations are graphed.

The answer is 3.

Danika walks 50 blocks in one week.

Multiplication is a mathematical operation that embodies the fundamental concept of repeated addition of the same integer. The multiplied numbers are known as the factors, and the outcome of the multiplication of two or more numbers is known as the product of those numbers. Multiplication is used to make repetitive adding of the same number easier. It is used for combining groups of identical size.

As per the data given,

We have,

Danika lives at 5 blocks from her school.

As Danika walks 5 blocks to and from school, making her round trip

So, total distance covered by Danika will be: 5 blocks + 5 blocks = 10 blocks.

As Danika walks to and from school 5 days a week,

Hence, she walks 10 blocks * 5 days = 50 blocks in one week.

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The exponential form of given number 121200 is 1.212 × \(10^5\)

And the earth sun distance in kilometers in powers of 10 notation is 1.5 × \(10^8\)

For given question,

We need to express 121,200 in exponential (powers of 10) notation.

To use scientific notation, pick a value between 1 and 10, then multiply it by 10ˣ.

The number between 1 and 10 in 121200 is 1.212 with 5 decimal points.

So, the exponential notation of given number would be,

121,200 = 1.212 × \(10^5\)

Earth's average distance from the Sun is around 93 million miles (150 million kilometers). That's one AU.

So the number between 1 and 10 in 150,000,000 is 1.5, with 8 decimal points.

So, the distance between he Earth and the Sun is:

150,000,000 = 1.5 × 10⁸

Therefore, the exponential form of given number 121200 is 1.212 × \(10^5\)

And the earth sun distance in kilometers in powers of 10 notation is 1.5 × \(10^8\)

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Answer:

x = 6.4

Step-by-step explanation:

Taking the sin ratio of the angle :

In the given diagram, the area of the shape is approximately 35.7 mm²

From the question, we are to calculate the area of the shape.

From the given information, we have a trapezium and a semicircle cut out of it

The area of the shape = Area of the trapezium - Area of the semicircle

Area of a trapezium = 1/2(a + b) × h

Where a and b are the parallel sides

and h is the perpendicular height

Area of a semicircle = 1/2 πr²

Where r is the radius

Thus,

Area of the shape = [1/2(a + b) × h] - [1/2 πr²]

In the given diagram,

a = 10 mm

b = 15 mm

h = 6 mm

r = 10 / 2 mm = 5 mm

Substituting the parameters, we get

Area of the shape = [1/2(10 + 15) × 6] - [1/2 π(5)²]

Area of the shape = 75 - 39.2699 mm²

Area of the shape = 35.7301mm²

Area of the shape ≈ 35.7 mm²

Hence,

The area is 35.7 mm²

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Answer:

Step-by-step explanation:

Answer:

2

Step-by-step explanation:

Your slope is your change in y over your change in x.  The ordered pair is in the form of (x,y), so you subtract the y's and put that in your numerator (top)and subtract your x's and put that in your denominators (bottom).

2 - (-4) would be your top number.  To subtract a negative number is the same as adding a positive, so 2 - (-4) is the same as 2 +4, so your top number is 6.  

Now, to find the bottom number, you subtract the x's.

5-2 which is 3.

We now have the top and the bottom number

6/3 which is the same as 2.

Answer:

Below

Step-by-step explanation:

Radians =  degrees * pi /180

Radians * 180/pi   =  degrees

A. In the evaluation problem, we calculate the likelihood of the observation sequence given the HMM model.

B.The decoding problem involves determining the most likely sequence of hidden states for a given observation sequence.

C.In the learning problem, we calculate the optimal model parameters given the observation sequence.

In Hidden Markov Model (HMM), let us consider a sequence of observations as o1o2o3…o. The evaluation problem, decoding problem, and learning problem in HMM are explained below:

a) Evaluation Problem: In the evaluation problem, we calculate the likelihood of the observation sequence given the HMM model. We use the forward algorithm to evaluate the model. The forward algorithm can be used to calculate the probability of the observation sequence in linear time relative to the length of the sequence.

b) Decoding Problem:The decoding problem involves determining the most likely sequence of hidden states for a given observation sequence. The Viterbi algorithm is used to solve the decoding problem. It finds the best sequence of hidden states that matches the observation sequence. The Viterbi algorithm is a dynamic programming algorithm that uses the forward algorithm.

c) Learning Problem:In the learning problem, we calculate the optimal model parameters given the observation sequence. We use the Baum-Welch algorithm to learn the parameters of the HMM model. The Baum-Welch algorithm is a variant of the Expectation-Maximization algorithm that iteratively refines the model parameters until they converge. It starts with an initial model and estimates the parameters that maximize the likelihood of the observation sequence.

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a) Evaluation problem: The evaluation problem in Hidden Markov Models (HMMs) involves determining the probability of a given sequence of observations, given a specific HMM model. In other words, it calculates the likelihood of the observed sequence occurring in the model.

Given an HMM model with its transition probabilities, emission probabilities, and initial state probabilities, the evaluation problem allows us to compute the probability of observing a particular sequence of observations. This is useful in various applications such as speech recognition, bioinformatics, and natural language processing. The evaluation problem is typically solved using the forward algorithm, which calculates the probability of being in each state at each time step, considering all possible paths leading to that state.

b) Decoding problem: The decoding problem in Hidden Markov Models involves finding the most likely sequence of hidden states that generated a given sequence of observations. It aims to infer the underlying states of the system based on the observed data.

In the decoding problem, we are interested in determining the most probable sequence of hidden states that generated a given sequence of observations. This is crucial in applications such as speech recognition, where we want to identify the most likely sequence of phonemes corresponding to an audio signal. The decoding problem is often solved using the Viterbi algorithm, which efficiently computes the most probable sequence of states by considering the transition probabilities and emission probabilities of the HMM.

c) Learning problem: The learning problem in Hidden Markov Models involves estimating the model parameters (transition probabilities, emission probabilities, and initial state probabilities) from a given set of observations. It aims to find the best-fitting model that explains the observed data.

In the learning problem, we have a set of observations but do not know the underlying model parameters of the HMM. The goal is to estimate these parameters based on the available data. This is done through a process called training or learning, where the model parameters are adjusted to maximize the likelihood of the observed data. The learning problem is typically solved using the Baum-Welch algorithm, also known as the forward-backward algorithm or the Expectation-Maximization (EM) algorithm. It iteratively updates the model parameters until convergence, maximizing the likelihood of the observed data given the HMM model.

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The degree, k, of each vertex in the graph g is 8.

Let's assume that every vertex in g has degree k. Since g is an undirected graph, each edge contributes to the degree of two vertices. Therefore, the sum of degrees of all vertices in g is equal to twice the number of edges in g.

Given that g has exactly 12 edges, the sum of degrees of all vertices is 2 * 12 = 24. Since g has only 3 vertices, the sum of their degrees must be 24.

If we assume that every vertex has degree k, then the sum of the degrees of the 3 vertices is 3k. Therefore, we can set up the equation 3k = 24.

Solving this equation, we find that k = 24 / 3 = 8. So, each vertex in g has a degree of 8.

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See the diagram of the circumscribed polygon attached below:

Answer:

A. 14.2 in.

Step-by-step explanation:

Perimeter = 3.7 + 3.6 + 3.4 + 1.9 + g

Let's find g.

a = 1.9 in. (Tangents drawn from an external point of a circle are congruent)

b = 3.4 - 1.9 = 1.5 in.

b = c = 1.5 in. (Tangents drawn from an external point)

d = 3.6 - 1.5 = 2.1 in.

d = e = 2.1 in. (Tangents drawn from an external point)

f = 3.7 - 2.1 = 1.6 in.

f = g = 1.6 in. (Tangents drawn from an external point)

✔️Therefore,

Perimeter = 3.7 + 3.6 + 3.4 + 1.9 + 1.6 = 14.2 in.

Answer: 3x-1(-5x)-3

Step-by-step explanation:

−3-x-1(-5x)+4x

-3+3x-1(-5x)

3x-1(-5x)-3

Answer:

19

Step-by-step explanation:

f(x)=2(3^x)+1,

Let x=2

f(2)=2(3^2)+1

Exponents first

    =2 (9) +1

Then multiply

    =18+1

    =19

Answer:    The percent error is -2.1352% of Jocelyn's estimate.

Answer:

21, 30,23, 20

Step-by-step explanation:

Answer:2,4,3,6

Step-by-step explanation:

On edg :D

Answer:

r^2 y^4

Step-by-step explanation:

when you divide, you subtract the exponents.

Answer:

y = 6.08871x + 63.9274

Step-by-step explanation:

You can use Desmos a free graphing calculator to do this.