How do you find an expression for a cubic function f if f(5) = 300 and f(−5) = f(0) = f(6) = 0?

As per the required total time taken by one person to complete a task from beginning to end without taking into any account holidays, time off, or any other project work is known as Work effort estimate.

As given in the question,

Total time taken by one person to complete the task with conditions:

-: From beginning to end no holiday.

-: No time off

-: no other project work

A. Duration estimate represents the time taken to complete any project.

Incorrect option.

B. Work effort estimate represents the point clearly mentioned to what is required to complete the task.

Here clearly mentioned all the points .

Correct option.

C .  Bottom-up estimate represents estimates for individual components of work that are designed to rolled up into the overall estimate.

Incorrect option.

D. Parametric estimate represents the different parameters like total cost , time and resources required for the project.

Incorrect option.

Therefore, for the required total time taken by one person to complete a task from beginning to end without taking into any account holidays, time off, or any other project work is known as Work effort estimate.

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The Synthetic Division gives the Quotient =  7x² -4x + 5 and Remainder = 8.

Instead of using the usual long division algorithm, synthetic division is a faster way to divide two polynomials. The dividend and divisor polynomials are reduced using this technique to a collection of numerical values.

Given:

(7x³-25x² +17x -7) divided by (x-3).

So, Synthetic Division is as follows:

                                          (x-3) | (7x³-25x² +17x -7) | 7x² -4x + 5

                                                     7x³-21x²

                                                  _________

                                                            -4x² + 17x

                                                            -4x² + 12x        

                                                     _______________

                                                                         5x - 7              

                                                                          5x - 15

                                                                        ________

                                                                                8

                                                                         ________

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1A: To calculate the average raw return and average excess return of Mystery Security #1, we need to use the provided data for Mystery Security #1 and the risk-free rate (RF) as follows:

Average raw return of Mystery Security #1 = (sum of monthly returns of Mystery Security #1 from 1995-2014) / 240

Average excess return of Mystery Security #1 = average raw return of Mystery Security #1 - RF

1B: To estimate a CAPM regression for Mystery Security #1, we need to regress the monthly excess returns of Mystery Security #1 on the excess returns of the market (Mkt_RF). The CAPM alpha is the intercept of this regression, the CAPM beta is the slope coefficient of the market excess returns, and the R-squared of the regression measures the proportion of the variation in Mystery Security #1's excess returns that is explained by the market excess returns.

1C: To estimate a 3-Factor Model regression for Mystery Security #1, we need to regress the monthly excess returns of Mystery Security #1 on the excess returns of the market (Mkt_RF), the excess returns of small stocks minus big stocks (SMB), and the excess returns of high book-to-market stocks minus low book-to-market stocks (HML). The 3-Factor alpha is the intercept of this regression, the 3-Factor market beta is the slope coefficient of the market excess returns, the 3-Factor size beta is the slope coefficient of the SMB excess returns, the 3-Factor value beta is the slope coefficient of the HML excess returns, and the R-squared of the regression measures the proportion of the variation in Mystery Security #1's excess returns that is explained by the three factors.

1D: To identify the identity of Mystery Security #1, we would need more information. However, based on the CAPM and 3-Factor Model regressions, we can make some inferences about the key characteristics of Mystery Security #1. For example, the CAPM beta and 3-Factor market beta can give us an indication of Mystery Security #1's sensitivity to overall market movements, while the 3-Factor size beta and 3-Factor value beta can give us an indication of Mystery Security #1's sensitivity to small stocks and high book-to-market stocks, respectively.

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Using Leibniz's notation for the chain rule  \(\frac{dy}{dx}\)= 540x⁸.

To find ​ \(\frac{dy}{dx}\) using Leibniz's notation for the chain rule, we have:

y=f(u)=5u⁴+2

u=g(x)=3x³u

Let's start by finding \(\frac{dy}{du}\) and \(\frac{du}{dx}\) individually:

1. \(\frac{dy}{du}\):

To find \(\frac{dy}{du}\)​, we differentiate y with respect to u while treating uas the independent variable:

\(\frac{du}{dy}\) ​=d/du​(5u⁴+2) = 20u³

2. \(\frac{du}{dx}\) :

To find \(\frac{du}{dx}\)​ , we differentiate u with respect to x:

\(\frac{du}{dx}\)​​​ = d/dx​(3x³)=9x²

Now, we can apply the chain rule by multiplying  \(\frac{dy}{du}\) and  \(\frac{du}{dx}\) to find  \(\frac{dy}{dx}\)

\(\frac{dy}{dx}\) = \(\frac{dy}{du}\) * \(\frac{du}{dx}\) = (20 u³)* (9x²)

Substituting u=3x³:

\(\frac{dy}{dx}\) = (20(3x³)³)⋅(9x²)

Simplifying:

\(\frac{dy}{dx}\) = 540 x⁸

Therefore, \(\frac{dy}{dx}\)=540x⁸ using Leibniz's notation for the chain rule.

The question should be:

QUESTION 1 · 1 POINT Given y = f(u) and u = g(x), find dy/dx by using Leibniz's notation for the chain rule:

dy/dx = (dy/du)* (du/dx) , y=5u⁴ + 2 , u= 3x³

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your answer os 8 hope it works

Hope it helps.

If you have any query, feel free to ask.

Correlational research is concerned with examining relationships among variables. It focuses on understanding the associations or connections between different variables and how they relate to each other.

This type of research aims to explore the extent and direction of the relationship between variables without manipulating them.

In correlational research, researchers measure two or more variables and analyze their statistical relationship using techniques such as correlation analysis. The goal is to determine whether there is a positive or negative association between the variables, or if they are unrelated.

Correlational research does not involve establishing causation or determining differences between conditions, but rather focuses on understanding the patterns and strength of relationships between variables in order to identify potential associations or predict outcomes.

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The total amount that the band earns when the concert  sells out is $18566.50

Given,

Number of seats in The Playhouse Concert Hall = 523

The cost for one ticket charged by The Pink Ladies rock band who holds a concert = $35.50

We have to find the total amount that the band earns when the concert  sells out;

Total amount = Number of seats x Cost for one ticket

Total amount = 523 x 35.50

Total amount that the band earn = $18566.5

That is,

The total amount that the band earns when the concert  sells out is $18566.50

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Answer:

To find the new width of the photograph, we need to multiply the original width by the scale factor of 2.6:

New width = Original width x Scale factor

New width = 3.6 in x 2.6

New width = 9.36 in (rounded to two decimal places)

Therefore, the new width of the photograph will be approximately 9.36 inches when both dimensions are enlarged by a factor of 2.6.

Answer:

1 3/4 / 4

x / 3

Step-by-step explanation:

The answer is about 1.31 cups.

hope this helps

The given matrix is an elementary matrix that represents an elementary row operation of multiplying the second row by 4k. The determinant of this matrix is determinant of the original matrix, which is 4k.

Therefore, the determinant of the given elementary matrix is 4k.

To verify this result, we can also compute the determinant using the formula for a 3x3 matrix. The matrix obtained by applying the elementary row operation to the identity matrix is:

\(\left[\begin{array}{ccc}1&0&0\\0&4k&0\\0&0&1\end{array}\right]\)

The determinant of this matrix is calculated as: det(A) = 1 * (4k) * 1 - 0 * 0 * 0 - 0 * (4k) * 0 = 4k. So, the determinant of the given elementary matrix is indeed 4k, which matches our previous result.

In summary, the determinant of the elementary matrix is 4k, and this can be verified by calculating the determinant using the formula for a 3x3 matrix.

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Answer:

associative property

The selling price of the bicycle, with a wholesale cost of $98.75 and a 33.3% markup, is approximately $131.59.

To find the selling price of the bicycle, we need to calculate the markup amount and add it to the wholesale cost. The markup amount can be calculated as a percentage of the wholesale cost. In this case, the markup percentage is 33.3% of $98.75.

Markup amount = 33.3% of $98.75

= 0.333 * $98.75

= $32.84 (rounded to the nearest cent)

Now, to find the selling price, we add the markup amount to the wholesale cost:

Selling price = Wholesale cost + Markup amount

Selling price = $98.75 + $32.84

= $131.59 (rounded to the nearest cent)

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Answer:18

Step-by-step explanation:

2x=12

3x=?
2x/2=12/2= x=6

3(6)=18

Let g be the integral function defined by g(x) = ∫x-1 (-1/2 * cos (t³ / 2t)) dt for x = 0, g is g(x) = -1/2(x-1 * sin(t³/2t) - x-1 * cos(t³/2t)).

To solve this integral, we need to use the substitution method. We will let u = t/2t, du = 3t/2 dt.

Thus, the integral becomes:

g(x) = -1/2 * ∫x-1 cos(u) du

Using integration by parts, we get:

g(x) = -1/2(x-1 * sin(u) + ∫x-1 sin(u) du).

After integrating the second part, we obtain the final result:

g(x) = -1/2(x-1 * sin(u) - x-1 * cos(u))./2t

we subtitute the value of u to get:

g(x) = -1/2(x-1 * sin(t³/2t) - x-1 * cos(t³/2t)).

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So the final expression is: (change in y/y) = n (change in a/a).

We can start by taking the natural logarithm of both sides of the equation:

ln(y) = ln(aⁿ)

Using the rule that ln(aⁿ) = n ln(a), we can simplify this to:

ln(y) = n ln(a)

Next, we can take the derivative of both sides with respect to a:

d/d(a) ln(y) = d/d(a) (n ln(a))

Using the chain rule, we can simplify the right-hand side to:

d/d(a) ln(y) = n (1/a)

Now, we can multiply both sides by a/y:

a/y * d/d(a) y = n(a/y) * (1/a)

Simplifying, we get:

dy/y = n da/a

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Value of the z-test statistic is 1.20.

To find the value of the z-test statistic, we need to calculate the sample proportion and the standard error of the proportion.

The sample proportion is:

p⁻ = 92/400 = 0.23

The standard error of the proportion is:

SE = √[(pq)/n] = √[(0.20.8)/400] = 0.025

where p = 0.2 and q = 0.8.

Now we can calculate the z-test statistic:

z = (p⁻ - p)/SE = (0.23 - 0.2)/0.025 = 1.2

Therefore, the value of the z-test statistic is 1.20.

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Answer:

\(2^{-1}\)

Explanation:

05/10

Simplifying

1/2

or 2^-1

Hope this helps you. Do mark me as brainlist

Answer:

4

Step By Step Explanation:

Hope it helps

The answers that  best explains how we check to make sure that this condition is met is: c. Make sure there is similar spread around the sample mean of y.

The equal spread condition states that the residuals (differences between the actual and predicted values of y) should have roughly equal variance at each value of x.

To check if this condition is met, we examine the residual plot, which is a scatterplot of the residuals versus the independent variable x. If the spread of residuals around the mean is roughly equal for all x, then the equal spread condition is satisfied.

Therefore the correct option is C.

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Answer: Sixteen is a rational number

The coordinate vector of p(t) = 1 + 4t + 7t² relative to B is (2, 6, -1).

What is the coordinate vector?

A coordinate vector is a numerical representation of a vector that explains the vector in terms of a specific ordered basis. A simple example would be a position in a 3-dimensional Cartesian coordinate system with the basis being the system's axes.

Here, we have

Given: The set b = (1 + t², t + t², 1 + 2t + t²) is a basic for P₂.

Now, let coordinate vector of P(t) = 1 + 4t + 7t² relative to B is (C₁, C₂, C₃).

Then,

1 + 4t + 7t² = C₁(1 + t²) + C₂(t + t²) + C₃(1 + 2t + t²)

(C₁+C₃) + ( C₂+2C₃)t + (C₁+C₂ +C₃)t² = 1 + 4t + 7t²

C₁+C₃ = 1

C₂+2C₃ = 4

C₁+C₂ +C₃ = 7

Now, to find C₁, C₂, C₃ we solve the system.

The augmented matrix of the given system is:

= \(\left[\begin{array}{ccc}1&0&1|1\\0&1&2|4\\1&1&1|7\end{array}\right]\)

Now, we apply row reduction and we get

R₃ = R₃ - R₁

= \(\left[\begin{array}{ccc}1&0&1|1\\0&1&2|4\\0&1&0|6\end{array}\right]\)

R ⇔ R

= \(\left[\begin{array}{ccc}1&0&1|1\\0&1&0|6\\0&1&2|4\end{array}\right]\)

R₃ = R₃ - R₁

= \(\left[\begin{array}{ccc}1&0&1|1\\0&1&0|6\\0&0&2|-2\end{array}\right]\)

R₃ = 1/2R₃

= \(\left[\begin{array}{ccc}1&0&1|1\\0&1&0|6\\0&0&1|-1\end{array}\right]\)

R₁ = R₁ - R₃

= \(\left[\begin{array}{ccc}1&0&0|2\\0&1&0|6\\0&0&1|-1\end{array}\right]\)

C₁ = 2, C₂ = 6, C₃ = -1

Hence, the coordinate vector of p(t) = 1 + 4t + 7t² relative to B is (2, 6, -1).

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188.4 inches square.............

Answer:

1884

Step-by-step explanation:

Answer:

luh asa ka

Step-by-step explanation:

mahal ka ni papa jesus

Step-by-step explanation:

We can use trigonometry to solve this problem. Let's draw a diagram:

```

A - observer (1.5 m above ground)

B - base of the clock tower

C - top of the clock tower

D - intersection of AB and the horizontal ground

E - point on the ground directly below C

C

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B

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A

```

We want to find the height of the clock tower, which is CE. We have the angle of elevation ACD, which is 19 degrees, and the distance AB, which is 100 m. We can use tangent to find CE:

tan(ACD) = CE / AB

tan(19) = CE / 100

CE = 100 * tan(19)

CE ≈ 34.5 m (rounded to 1 decimal place)

Therefore, the height of the clock tower is approximately 34.5 m.