Determine if the expression is a polynomial or not. plz help!

Answer:

either one

Step-by-step explanation:

it is going through the origin, so it is going forever in each direction

the vallue of k is 25,  positive integers 6^6 and 8^8.

What is LCM?

In mathematics, the least common multiple is sometimes referred to as LCM or the lowest common multiple. The smallest number among all the common multiples of the provided numbers is the least common multiple of two or more numbers. Consider the integers 2 and 5. There will be different multiples for each. Least Common Multiple is the meaning of the abbreviation LCM. The lowest number that may be divided by both numbers is known as the least common multiple (LCM) of two numbers.

Only the primes 2 or/and 3 are present in LCM, hence k cannot have any other primes.

In light of the fact that the power of 3 in LCM is greater than the powers of either the first or second number, k must have 312 as its multiple (otherwise, how would 312 appear in LCM?).

Because at least one of the numbers must have the words (224) and (312) as its factors in order for (224) * (312) to be a common multiple, b must now equal 12. (maybe other numbers).

As can be seen, the 224 component is already taken care of by 88.

As a result, k must handle the LCM's 312 component.

Since a can take on any value between 0 and 24 (inclusive) without modifying the LCM's value, the value of k is therefore (2a) * (312).

Hence the vallue of k is 25.

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Answer:

2008

Step-by-step explanation:

when she is 12 (4 years after 2004) her dad will be 36, which is 3 x 12, therefore, in 2008 he will be able to say this.

Answer:

  2008

Step-by-step explanation:

The difference in their ages is ...

  4m -m = 3m = 3(8) = 24 . . . years (Marika was 8 in 2004)

__

Marika's age when the father was 3 times her age was ...

  3m -m = 2m = 24 . . . years

  m = 12 . . . . . Marika was 12 when her father was 3 times her age

That is 12 -8 = 4 years from 2004, so it will be true in 2008.

a. The coordinates after the rotation are: D(-5, 4) → D' (5, -4), E(3, 6) → E'(3, -6), and F(4, 2) → F'(4, -2) b. The general rule below that describes the rotation are: (x, y) → (x, -y).

According to the definition of a transformation in mathematics, a transformation is a geometric shape or formula that has been altered, mapping the shape or formula from its preimage, or initial position, to its image, or after-transformation position. Because transforming a function to a different space offers a fresh viewpoint on the issue, scientists and mathematicians employ transformations to simplify a problem. Scientists frequently shift a function, manipulate it, and then transform it back to its original place because this fresh perspective can make computations easier in the new space than in the old one.

a. The coordinates after the rotation are:

D(-5, 4) → D' (5, -4)

E(3, 6) → E'(3, -6)

F(4, 2) → F'(4, -2)

b. The general rule below that describes the rotation are:

(x, y) → (x, -y)

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To find the proportionality of a table, you need to determine if the relationship between two variables in the table is proportional or not.

Calculating the ratio between each pair of data in a table allows you to determine whether a proportional relationship is there. The table depicts a proportionate relationship if all of those ratios are the same.

This can be done by dividing one variable by the other and checking if the ratio is equal for all data points in the table. If the ratio is constant, then the variables are proportional and the table is considered proportional.

Given that the question is incomplete and does not show the proportionality table, it is worth it to show how to find the proportionality of a table which would help solve the solution and gain knowledge.

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The question translated in English is:

Complete the following proportionality tables

Using the long division method, it is proved that (x + 2) is a factor of (x³ + 8), because the result of the remainder is 0.

To show that (x + 2) is a factor of (x³ + 8) using long division, we can divide (x³ + 8) by (x + 2) and see if the remainder is 0. If the remainder is 0, then (x + 2) is a factor of (x³ + 8). Here's how the long division would look:

        x² - 2x + 4

x+2 | x³ + 0x² + 0x + 8

      - (x³ + 2x²)

    --------------------

         -2x² + 0x + 8

       - (-2x² - 4x)

         ---------------

              4x + 8

            - (4x + 8)

              --------

                 0

Since the remainder is 0, we can conclude that (x + 2) is a factor of (x³ + 8).

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Only one singlet is expected in the 1H NMR spectrum of 2,2,4,4-tetramethylpentane. So, correct option is A.

In the 1H NMR spectrum, the number of singlets corresponds to the number of unique hydrogen environments in the molecule. Each unique hydrogen environment, where the hydrogens are chemically equivalent, will produce a singlet peak.

In 2,2,4,4-tetramethylpentane, all the carbons are identical, and each carbon is bonded to three hydrogen atoms. The four methyl groups (-CH3) are also chemically equivalent to each other. Therefore, all the hydrogens in this molecule are in equivalent environments, and there are no differences between them.

Since all the hydrogens are chemically equivalent, they will produce a single peak in the 1H NMR spectrum. This single peak is called a singlet.

Hence, the correct answer is option a, as only one singlet is expected in the 1H NMR spectrum of 2,2,4,4-tetramethylpentane.

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Answer: Two singlets.

Step-by-step explanation:

The methyl groups are all equivalent with no neighbors, so they all give rise to only 1 peak.

There is a methylene group that gives rise to another peak.

So the total is 2 singlets.

a) It would take Anya approximately 4 years to accumulate $40,000 with an annual interest rate of 12%. b) Anya must earn an annual rate of return of approximately 12.6% to save $40,000 in 3 years.

a) To calculate the number of years it would take Anya to accumulate $40,000, we can use the future value formula for compound interest:

Future Value = Present Value * (1 + interest rate)ⁿ

Where:

Future Value = $40,000

Present Value = $25,000

Interest rate = 12% = 0.12

n = number of years

Substituting the given values into the formula, we have:

$40,000 = $25,000 * (1 + 0.12)ⁿ

Dividing both sides of the equation by $25,000, we get:

(1 + 0.12)ⁿ = 40,000 / 25,000

(1.12)ⁿ = 1.6

To solve for n, we can take the logarithm of both sides of the equation:

n * log(1.12) = log(1.6)

Using a calculator, we find that log(1.12) ≈ 0.0492 and log(1.6) ≈ 0.2041. Therefore:

n * 0.0492 = 0.2041

n = 0.2041 / 0.0492 ≈ 4.15

b) To calculate the required rate of return for Anya to save $40,000 in just 3 years, we can rearrange the future value formula:

Future Value = Present Value * (1 + interest rate)ⁿ

$40,000 = $25,000 * (1 + interest rate)³

Dividing both sides of the equation by $25,000, we have:

(1 + interest rate)³ = 40,000 / 25,000

(1 + interest rate)³ = 1.6

Taking the cube root of both sides of the equation:

1 + interest rate = ∛1.6

Subtracting 1 from both sides, we get:

interest rate = ∛1.6 - 1

Using a calculator, we find that ∛1.6 ≈ 1.126. Therefore:

interest rate = 1.126 - 1 ≈ 0.126

To express the interest rate as a percentage, we multiply by 100:

interest rate = 0.126 * 100 = 12.6%

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Let μ be the mean of the distribution and let σ be its standard deviation.

We know that 54 falls two standard deviations above the mean, this can be express as:

We also know that 42 falls one standard deviation below the mean, this can be express as:

Hence, we have the system of equations:

To find the mean we solve the second equation for the standard deviation:

Now we plug this value in the first equation:

Therefore, the mean of the distribution is 46

Answer:

i am not sure man

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

She was working hard on her garden, and she was generous by donating.

The inference that can you make about Katie :

B) Katie is hardworking and generous to others.

The inference that can you make about Katie is hardworking and generous to others.

She was working hard on her plant, and she was generous by giving.

Gardening is the laying out and care of a plot of ground given somewhat or entirely to the developing of plants such as blossoms, herbs, or vegetables.

Thus, the correct answer is B.

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a. When evaluating a model, we use R2 as a parameter for performance assessment.

b. If model A has a higher MAPE but model B has a higher R2, we choose the model with the higher R2 for better overall performance.

c. For accuracy measures, we typically use MAPE (Mean Absolute Percentage Error) due to its interpretability and ability to capture relative errors.

When evaluating a model's performance, it is crucial to choose the appropriate parameters to assess its accuracy and reliability. In the case of MAPE (Mean Absolute Percentage Error) and R2 (Coefficient of Determination), the choice between them depends on the specific evaluation goals.

The R2 parameter is commonly used for evaluating models because it measures the proportion of the dependent variable's variance that can be explained by the independent variables. R2 provides insights into how well the model fits the data and captures the relationship between the input features and the target variable. Therefore, R2 is a suitable parameter to use when evaluating a model.

When comparing two models, if model A has a higher MAPE but model B has a higher R2, it is advisable to choose the model with the higher R2 value. This is because R2 indicates the proportion of variance explained, suggesting that model B performs better in capturing the underlying patterns and predicting the target variable.

Although model A may have a lower relative error (MAPE), it is crucial to prioritize the model's ability to explain and predict the target variable accurately.

Among MAPE, MAD (Mean Absolute Deviation), and MSD (Mean Squared Deviation), MAPE is commonly preferred as a parameter for accuracy measures. MAPE calculates the average percentage difference between the predicted and actual values, making it interpretable and easily understandable.

It captures relative errors and enables comparisons across different scales and datasets. MAD and MSD, on the other hand, measure absolute and squared errors, respectively, but they do not account for the relative magnitude of the errors. Hence, MAPE is a more suitable parameter for accuracy measures.

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Answer:

PR = 3.6

Step-by-step explanation:

Triangles PQR and STR are similar figures. PQ is the base of triangle PQR just like ST is of triangle STR. PR is parallel to SR and RQ is parallel to RT.

\(\frac{Side PQ}{Side ST} =\frac{Side PR}{Side SR}\)

=\(\frac{1.8}{1.2} = \frac{PR}{2.4}\)

Cross-multiplying:

=(1.8)(2.4) = (1.2)(PR)

= PR = \(\frac{(1.8)(2.4)}{(1.2)}\)

= PR = 3.6

Tangent and Bernoulli numbers are related to Motzkin and Catalan numbers through the generating functions and numerical triangles. The generating functions involve the tangent and Bernoulli functions, respectively, and the coefficients in the expansions form numerical triangles.

Tangent and Bernoulli numbers are related to Motzkin and Catalan numbers through the concept of numerical triangles. Numerical triangles are a visual representation of the coefficients in a power series expansion.

Motzkin numbers, named after Theodore Motzkin, count the number of different paths in a 2D plane that start at the origin, move only upwards or to the right, and never go below the x-axis. These numbers have applications in various mathematical fields, including combinatorics and computer science.

Catalan numbers, named after Eugène Charles Catalan, also count certain types of paths in a 2D plane. However, Catalan numbers count the number of paths that start at the origin, move only upwards or to the right, and touch the diagonal line y = x exactly n times. These numbers have connections to many areas of mathematics, such as combinatorics, graph theory, and algebra.

The relationship between tangent and Bernoulli numbers comes into play when looking at the generating functions of Motzkin and Catalan numbers. The generating function for Motzkin numbers involves the tangent function, while the generating function for Catalan numbers involves the Bernoulli numbers.

The connection between these generating functions and numerical triangles is based on the coefficients that appear in the power series expansions of these functions. The coefficients in the expansions can be represented as numbers in a triangular array, forming a numerical triangle.

These connections provide insights into the properties and applications of Motzkin and Catalan numbers in various mathematical contexts.

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Step-by-step explanation:

Not a right triangle.

To determine if a triangle is a right triangle, we can apply the Pythagorean theorem. According to the theorem, in a right triangle, the square of the length of the hypotenuse (the side opposite the right angle) is equal to the sum of the squares of the lengths of the other two sides.

Let's calculate:

The given side lengths are:

Side A: 11 feet

Side B: 9 feet

Side C: 14 feet (hypotenuse)

According to the Pythagorean theorem, if the triangle is a right triangle, then:

Side A^2 + Side B^2 = Side C^2

Substituting the values:

11^2 + 9^2 = 14^2

121 + 81 = 196

202 ≠ 196

Since 202 is not equal to 196, we can conclude that the triangle with side lengths 11 feet, 9 feet, and 14 feet is not a right triangle.

Answer:

There were 44 students in each bus.

Step-by-step explanation:

357 - 5 = 352

352/8 = 44

Answer:

Step-by-step explanation:

Total students = 357

Total buses filled = 8

No of students traveled in car = 5

Remaining students = 357 - 5 = 352

Students in each bus = 352 ÷ 8 = 44 students

Solution

Question 1:

Question 2:

Final Answer

Question 1:

The exponential function to model the scenario is

Question 2:

The number of rabbits that will hop out of the hat on the 13th Day is 12,288 rabbits

The factors of the expression 25x² + 10x + 1 will be (5x + 1)². Thus, the correct option is A.

Given that:

Expression, 25x² + 10x + 1

It is a method for dividing a polynomial into pieces that will be multiplied together. At this moment, the polynomial's value will be zero.

Factorize the expression, then we have

25x² + 10x + 1 = 25x² + 5x + 5x + 1

25x² + 10x + 1 = 5x(5x + 1) + 1(5x + 1)

25x² + 10x + 1 = (5x + 1)(5x + 1)

25x² + 10x + 1 = (5x + 1)²

Thus, the correct option is A.

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The complete question is given below.

Write the factors of the expression 25x² + 10x + 1.
A. (5x + 1)²
B. (25x + 1)(x + 1)
C. (5x + 1)(5x - 1)

Answer:

2nd option

Step-by-step explanation:

Using the power rule

\(\frac{d}{dx}\) (a\(x^{n}\) ) = na\(x^{n-1}\)

Given

f(x) = \(\frac{3}{2\sqrt[3]{x} }\) = \(\frac{3}{2x^{\frac{1}{3} } }\) = \(\frac{3}{2}\) \(x^{-\frac{1}{3} }\) , then

f'(x) = - \(\frac{1}{3}\) × \(\frac{3}{2}\) \(x^{-\frac{4}{3} }\)

      = - \(\frac{1}{2}\) × \(\frac{1}{x^{\frac{4}{3} } }\)

      = - \(\frac{1}{2x^{\frac{4}{3} } }\) = - \(\frac{1}{2\sqrt[3]{x^4} }\) [ Note there should be a leading negative ]

The solution to the quadratic equation is x = negative two-thirds, negative four-fifths. Option C

From the information given, we have that;

15 x squared + 22 x = negative 8

This is represented mathematically as;

15x² + 22x = -8

Equate the quadratic expression to zero, we get;

15x² + 22x + 8 = 0

Find the pair factors of the product of 15 and 8 that sum up to 22. The value is 120

Now, substitute the value into the formula

15x² + 12x + 10x + 8 = 0

Evaluate the equation in pairs, we have;

(15x² + 12x) + (10x + 8) = 0

Factor the common terms

3x(5x + 4) + 2( 5x + 4)= 0

Then, we have;

(3x + 2) (5x + 4) = 0

If 3x + 2 = 0

x = -2/3

If 5x + 4 = 0

x = -4/5

Hence, the values are -2/3 and -4/5

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Approximately $1,061.88 is the payment of interest that Khalid should pay today in the bank paying 7% semi-annually.

Given, Khalid wants to have BD 30000 in his account by the end of 96 months. Interest rate = 7% (semi-annually)

We have to find how much should he pay interest today in the bank. For calculating this, we have to follow the below steps:

To calculate the payment of interest, we have to use the formula of Present Value of an Annuity or PV(Present value) of an annuity. In this formula, we have to calculate the present value of all the future payments, which he will be paying until the end of 96 months. Using the formula of Present Value of an Annuity or PV(Present value) of an annuity:

PV = PMT * [(1 - (1 + r/n)^-nt)/(r/n)]

Where, PV = Present Value

PMT = Payment amount

r = interest rate

n = number of times interest is compounded per year

t = time in years

For Semi-annually, the compounding period is 2.

PV = PMT * [(1 - (1 + r/n)^-nt)/(r/n)]

PV = Payment * [(1 - (1 + r/n)^-nt)/(r/n)]

PV = Payment * [(1 - (1 + 0.07/2)^-(96*2))/(0.07/2)]

PV = Payment * [(1 - (1.035)^-192)/(0.035)]

PV = Payment * [(1 - 0.000044)/0.035]

PV = Payment * 28.23130

Therefore, the amount Khalid should pay today in the bank paying 7% semi-annually is:

PV = Payment * 28.23130

$30,000 = Payment * 28.23130

Payment = $1,061.88

Approximately $1,061.88 is the payment of interest that Khalid should pay today in the bank paying 7% semi-annually.

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A stochastic process X(t) is called a martingale if the expected value of X(t) given all information available up to and including time s is equal to the value of X(s).

Thus, to show that the process X(t):=e^(t/2)cos(W(t)), 0 ≤ t ≤ T is a martingale w.r.t. any filtration for Brownian motion, we need to prove that E(X(t)|F_s) = X(s), where F_s is the sigma-algebra of all events up to time s.

As X(t) is of the form e^(t/2)cos(W(t)), we can use Itô's lemma to obtain the differential form:dX = e^(t/2)cos(W(t))dW - 1/2 e^(t/2)sin(W(t))dt

Taking the expectation on both sides of this equation gives:E(dX) = E(e^(t/2)cos(W(t))dW) - 1/2 E(e^(t/2)sin(W(t))dt)Now, as E(dW) = 0 and E(dW^2) = dt, the first term of the right-hand side vanishes.

For the second term, we can use the fact that sin(W(t)) is independent of F_s and therefore can be taken outside the conditional expectation:

E(dX) = - 1/2 E(e^(t/2)sin(W(t)))dt = 0Since dX is zero-mean, it follows that X(t) is a martingale w.r.t. any filtration for Brownian motion.

Now, let's represent X(t) as an Itô process on the interval [0,T]. Applying Itô's lemma to X(t) gives:

dX = e^(t/2)cos(W(t))dW - 1/2 e^(t/2)sin(W(t))dt= dM + 1/2 e^(t/2)sin(W(t))dt

where M is a martingale with M(0) = 0.

Thus, X(t) can be represented as an Itô process on [0,T] of the form:

X(t) = M(t) + ∫₀ᵗ 1/2 e^(s/2)sin(W(s))ds

Hence, we have shown that X(t) is a martingale w.r.t. any filtration for Brownian motion and represented it as an Itô process on any time interval [0,T], T > 0.

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Answer: 8x + 2xy

Step-by-step explanation:

9x - x + 4xy - 2xy

8x + 2xy

We can only compare the 9x with -x and the 4xy with the -2xy

The long-run multiplier gives the cumulative effect of a permanent increase in Zt on y. The long-run multiplier can be calculated as follows: β0 + β1 + β2 + β3 + …The long-run multiplier in this case is β0 + β1 + β2 = 10 + 4(2) + (-1)(1) = 17. Therefore, the long-run multiplier, given this permanent increase in z, is 17.

Finite distributed lag model:Finite distributed lag models are models where a dependent variable is regressed on its own past lags, the past lags of an independent variable, and the current value of an independent variable. A general form of the finite distributed lag model can be written as follows: y

= f(Zt, Zt-1, Zt-2, …, Zt-k) + εtwhere y is the value of the dependent variable at time t, Zt is the value of the independent variable at time t, εt is the error term in time period t, and k is the order of the finite distributed lag model.Example:Suppose the model is estimated as: y

= β0 + β1Zt + β2Zt-1 + β3Zt-2 + εtAlso suppose that z is equal to 1 in all time periods before time t. At time t, suppose z increases to 2 and then reverts back to 1 at time t-1. This model is a finite distributed lag model of order 2.The impact multiplier is β1 + 2β2. Here, the impact multiplier is the immediate change in the value of y when the independent variable changes by 1 unit. The value of β1 gives the immediate effect of a unit change in Zt on y. Similarly, β2 and β3 give the delayed effects of a unit change in Zt on y.δj can be calculated as δj

=βj+βj+1+βj+2. Plotting δj against J, we get the lag distribution as follows:In the above graph, the blue points represent δj as a function of J. The lag distribution shows that the effect of a change in z on y is felt in the current and the next two periods.Now, suppose that z is equal to 1 in all time periods before time t. At time t, suppose z increases to 2 and remains at 2 permanently. The long-run multiplier, given this permanent increase in z, is equal to the sum of all the βs. The long-run multiplier gives the cumulative effect of a permanent increase in Zt on y. The long-run multiplier can be calculated as follows: β0 + β1 + β2 + β3 + …The long-run multiplier in this case is β0 + β1 + β2

= 10 + 4(2) + (-1)(1)

= 17. Therefore, the long-run multiplier, given this permanent increase in z, is 17.

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Answer:

8/10

Step-by-step explanation:

add the numerator but keep the denominators the same

you could also simplify to 4/5

Answer:

2/10 + 6/10

= 8/10

=4/5

Therefore the answer is 4/5

Step-by-step explanation:

x=−y−2z+3

x=y+32z+1

x=13y+23z+13

a. Bisection Method: To use the bisection method to find the real roots of the equation f(x) = x³ + x² - 10x + 8, we need to find an interval [a, b] such that f(a) and f(b) have opposite signs.

Let's make a preliminary estimate and choose the interval [1, 2] based on observing the sign changes in the equation.

Iteration 1: a = 1, b = 2

c = (a + b) / 2

= (1 + 2) / 2 is 1.5

f(c) = (1.5)³ + (1.5)² - 10(1.5) + 8 ≈ -1.375

ince f(c) has a negative value, the root lies in the interval [1.5, 2].

Iteration 2:

a = 1.5, b = 2

c = (a + b) / 2

= (1.5 + 2) / 2 is 1.75

f(c) = (1.75)³ + (1.75)² - 10(1.75) + 8 ≈ 0.9844

Since f(c) has a positive value, the root lies in the interval [1.5, 1.75].

Iteration 3: a = 1.5, b = 1.75

c = (a + b) / 2

= (1.5 + 1.75) / 2 is 1.625

f(c) = (1.625)³ + (1.625)² - 10(1.625) + 8  is -0.2141

Since f(c) has a negative value, the root lies in the interval [1.625, 1.75].

Iteration 4: a = 1.625, b = 1.75

c = (a + b) / 2

= (1.625 + 1.75) / 2 is 1.6875

f(c) = (1.6875)³ + (1.6875)² - 10(1.6875) + 8 which gives 0.3887.

Since f(c) has a positive value, the root lies in the interval [1.625, 1.6875].

Iteration 5: a = 1.625, b = 1.6875

c = (a + b) / 2

= (1.625 + 1.6875) / 2 is 1.65625

f(c) = (1.65625)³ + (1.65625)² - 10(1.65625) + 8 is 0.0873 .

Since f(c) has a positive value, the root lies in the interval [1.625, 1.65625].

Iteration 6: a = 1.625, b = 1.65625

c = (a + b) / 2

= (1.625 + 1.65625) / 2 which gives 1.640625

f(c) = (1.640625)³ + (1.640625)² - 10(1.640625) + 8 which gives -0.0638.

Since f(c) has a negative value, the root lies in the interval [1.640625, 1.65625].

teration 7: a = 1.640625, b = 1.65625

c = (a + b) / 2

= (1.640625 + 1.65625) / 2 results to 1.6484375

f(c) = (1.6484375)³ + (1.6484375)² - 10(1.6484375) + 8 is 0.0116

Since f(c) has a positive value, the root lies in the interval [1.640625, 1.6484375].

Continuing this process, we can narrow down the interval further until we reach the desired level of accuracy.

b. Newton-Raphson Method: The Newton-Raphson method requires an initial estimate for the root. Let's choose x₀ = 1.5 as our initial estimate.

Iteration 1:

x₁ = x₀ - (f(x₀) / f'(x₀))

f(x₀) = (1.5)³ + (1.5)² - 10(1.5) + 8 which gives -1.375.

f'(x₀) = 3(1.5)² + 2(1.5) - 10 which gives -1.25.

x₁ ≈ 1.5 - (-1.375) / (-1.25) which gives 2.6.

Continuing this process, we can iteratively refine our estimate until we reach the desired level of accuracy.

c. Secant Method: The secant method also requires two initial estimates for the root. Let's choose x₀ = 1.5 and x₁ = 2 as our initial estimates.

Iteration 1: x₂ = x₁ - (f(x₁) * (x₁ - x₀)) / (f(x₁) - f(x₀))

f(x₁) = (2)³ + (2)² - 10(2) + 8 gives 4

f(x₀) = (1.5)³ + (1.5)² - 10(1.5) + 8 gives -1.375

x₂ ≈ 2 - (4 * (2 - 1.5)) / (4 - (-1.375)) gives 1.7826

Continuing this process, we can iteratively refine our estimates until we reach the desired level of accuracy.

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Power is the result of multiplying same number for n number of times.  The value of the given expression when simplified is equal to 75.

Power is the result of multiplying same number for n number of times. Power is typically expressed by a base number and an exponent. The base number indicates the number being multiplied. The exponent, which is a little number printed above and to the right of the base number, indicates the number of times the base number is multiplied.

The given expression can be simplified as shown below.

(5⁴ × 3³) / (5² × 3²)

= (625 × 27) / (25 × 9)

= 16,875 / 225

= 75

Hence, the value of the given expression when simplified is equal to 75.

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