A particle moves along the x-axis with velocity given by v(t) = 3t2 + 6t for time t ≥ 0. If the particle is at position x = 2 at time t = 0, what is the position of the particle at t = 1?

Answer:

the answer is irrational

The artwork described seems to exhibit all of the following characteristics EXCEPT B. a dependence on Classical prototypes.

This suggests that the artist's style is more focused on individual expression (A), with a unique approach to their subject matter, rather than relying on traditional styles or motifs from the Classical period.

Additionally, the artwork demonstrates a limited use of shading and volume (C), which might indicate a more simplified or stylized approach to form and depth. This characteristic might be a deliberate choice by the artist to emphasize certain elements or create a specific visual effect.

Furthermore, the strong linear sense (D) present in the work implies that the artist has prioritized clean, well-defined lines to establish the shapes and contours of the subjects. This approach can contribute to the overall clarity and structure of the composition.

To sum up, the artwork in question seems to prioritize individual expression, simplified shading and volume, and a strong linear sense, while not depending heavily on Classical prototypes for its inspiration.

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Answer:

-7

Step-by-step explanation:

Answer:

The cost of the other two panes should be $5.70.

Step-by-step explanation:

Given that,

Now based on the above information, the calculation is as follows:

= 14.25 x 2 ÷ 5

= $5.70

Therefore we can conclude that the cost of the other two panes should be

$5.70.

The best function that would model the progression of the points in the scatter plot is an exponential function (option D).

To determine which function best models the progression of the points in the scatter plot, we can analyze the pattern of the data. Let's examine the options:

A. A linear function describes a straight line. Looking at the scatter plot, we can see that the points do not form a straight line, so a linear function is not the best choice.

B. A quadratic function represents a curve that opens upwards or downwards. The scatter plot does not exhibit a clear quadratic pattern, so a quadratic function is unlikely to be the best choice.

C. A square root function represents a curve that increases at a decreasing rate. There is no clear indication of a square root pattern in the scatter plot, so a square root function may not be the best choice.

D. An exponential function represents a curve that increases or decreases at an increasing rate. When examining the scatter plot, we can observe that the points show a clear trend of exponential growth. As the x-values increase, the corresponding y-values grow at an increasing rate. Therefore, an exponential function is likely the best choice to model the progression of the points.

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Answer:

Step-by-step explanation:

-1

Answer: 6 5/12

Step-by-step explanation:

4 2/3 = 14/3
1 3/4 = 7/4
4x3= 12 (Denominator)
14x4 = 56
7x3=21
56+21 = 77        77/12
77/12 = 6 5/12

The area of the rectangle can be expressed as a fraction by multiplying 3/4 and 5/12. The answer is 5/16, which represents the area of the rectangle.

1. Multiply the length and width of the rectangle: 3/4 x 5/12 = 15/48

2. Reduce the fraction to its simplest form: 15/48 = 5/16

3. The answer is 5/16, which represents the area of the rectangle.

To find the area of a rectangle, you need to multiply the length and width of the rectangle together. In this case, the rectangle is 3/4 of a foot long and 5/12 of a foot wide. To express the area as a fraction, you need to multiply the two fractions together. 3/4 x 5/12 = 15/48. Since 15 and 48 have a common factor of 3, the fraction can be reduced to its simplest form, 5/16. Therefore, the area of the rectangle can be expressed as 5/16. This fraction represents the area of the rectangle.

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The complete question is

A rectangle is 3/4 of a feet long and 5/12 of a feet wide. What fraction represents the area of the rectangle of a feet wide.

Answer:

total number of students =60

Step-by-step explanation:

total number of students 60

used unfair means 1/3= 20

1/4 caught red handed 1/4 of 20= 5

Answer:

3,5?

Step-by-step explanation:

Answer:

64 square centimeters

Step-by-step explanation:

The surface are of a pyramid is found by finding the sum of the area of the four sides and the base.

Finding the triangular face:

Area of triangle = \(\frac{1}{2} b h\) = \(\frac{1}{2}*4*6 = 12\)

12 * 4 (4 sides) = 48 square cm

Finding the Base = \(w * l = 4 * 4 = 16\)

Finally, we add it together. 48 + 16 = 64

The slope of the tangent line at x=1 for the function f(x)=−5x−8x2 7x3 is 0.

To find the slope of the tangent line at x=1 for the function f(x)=−5x−8x2 7x3 , we need to first find the derivative of the function. The derivative of a function gives us the slope of the tangent line at any point x.

Find the derivative of f(x)=−5x−8x2 7x3.

The derivative of f(x) is f'(x) = -5 - 16x + 21x^2.

Plug in x=1 into the derivative to find the slope of the tangent line at x=1.

f'(1) = -5 - 16(1) + 21(1)^2 = 0

Therefore, the slope of the tangent line at x=1 is 0.

The slope of the tangent line at x=1 for the function f(x)=−5x−8x2 7x3 is 0.

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The new margin of error for the 95% confidence interval is approximately 0.066.

To find the new margin of error for the 95% confidence interval when the sample size is tripled, we need to consider that the margin of error is inversely proportional to the square root of the sample size.

Let's denote the original sample size as n, and the new sample size as 3n. Since Connie triples her sample size while finding the same sample proportion, the sample proportion remains the same.

The margin of error (ME) is given by:

\(ME = z * \sqrt{(\hat{p} * (1 - \hat{p})) / n}\)

Since the sample proportion remains the same, we can rewrite the formula as:

\(ME = z * \sqrt{(p * (1 - p)) / n}\)

When the sample size is tripled, the new margin of error (ME_new) can be calculated as:

\(ME_{new} = z * \sqrt{(p * (1 - p)) / (3n)}\)

Since the confidence level remains the same at 95%, the z-value remains unchanged.

Now, to find the ratio of the new margin of error to the original margin of error, we have:

\(ME_{new} / ME = \sqrt{(p * (1 - p)) / (3n)) / sqrt((p * (1 - p)) / n}\)

          \(= \sqrt{(p * (1 - p)) / (3n)} * \sqrt{n / (p * (1 - p))}\)

          \(= \sqrt{1 / 3}\)

Therefore, the new margin of error is equal to \(1 / \sqrt{3}\) times the original margin of error.

The options provided for the new margin of error are:

a. 0.032

b. 0.054

c. 0.066

d. 0.180

Out of these options, the only value that is approximately equal to 1 / sqrt(3) is 0.066.

Therefore, the new margin of error for the 95% confidence interval is approximately 0.066.

The correct answer is c. 0.066.

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To find the percentage of girls in class A, we need to divide the number of girls by the total number of students and then multiply by 100. This gives us:

14 / 20 * 100 = 70%

To find the percentage of girls in class B, we need to divide the number of girls by the total number of students and then multiply by 100. This gives us:

15 / 25 * 100 = 60%

Thus, the percentage of girls in class A is 70%, and the percentage of girls in class B is 60%.

Answer:

87.5 scarves in 5 hours

Step-by-step explanation:

35 divided by 2 is 17.5.

17.5 scarves each hour

17.5 multiplied by 5 is 87.5

Answer: 87.5 scarves

Step-by-step explanation:

5 divided by 2 is 2.5

35x2.5=87.5

Answer:

its kinda blurry

Step-by-step explanation:

The CIV of each customer is:
- Amber: 20 - Ashley: 20 - Joe: 20 - Lauren: 30 - Jung: 20 - Maria: 30 - Jose: 30

To calculate the CIV (customer lifetime value) of each customer, we can use the formula provided in the hint for Ashley and then apply the same formula for the rest of the customers:

CIVAshley = [CLVMaria + 0.5CLVJose] + [CIVMaria + 0.5CIVJose]

Plugging in the values given in the table:
CIVAshley = [10 + 0.5(15)] + [10 + 0.5(10)] = 20

Therefore, the CIV of Ashley is 20.

Using the same formula for the other customers:
CIVAmber = [10 + 0.5(15)] + [10 + 0.5(10)] = 20
CIVJoe = [10 + 0.5(15)] + [10 + 0.5(10)] = 20
CIVLauren = [25 + 0.5(10)] + [10 + 0.5(15)] = 30
CIVJung = [10 + 0.5(15)] + [10 + 0.5(10)] = 20
CIVMaria = [10 + 0.5(15)] + [20 + 0.5(10)] = 30
CIVJose = [10 + 0.5(15)] + [20 + 0.5(10)] = 30

Therefore, the CIV of each customer is:
- Amber: 20
- Ashley: 20
- Joe: 20
- Lauren: 30
- Jung: 20
- Maria: 30
- Jose: 30

Note that the CIV represents the total value a customer is expected to bring to a company over the course of their relationship, taking into account the frequency and monetary value of their purchases.

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Answer:

$22.50

Step-by-step explanation:

Answer:

The probability of rolling a dice six time until a 7 is first seen is 0.059

Step-by-step explanation:

The probability of getting a seven is equal to \(\frac{1}{10}\)

The dice need to be rolled only six times.

This means that for the first 5 times the dice showed values other than 7 and in the last roll it displays 7

Hence the probability of rolling a dice six time until a 7 is first seen is

\((\frac{9}{10})^5 * (\frac{1}{10})^1\)

\(= \frac{9^5}{10^6} \\= 5.90\) % or 0.059

Answer:

81

Step-by-step explanation:

:)

Answer: 25%

Step-by-step explanation: I got it correct.

The component of a linear programming model that is NOT listed is "Decision variables."

A linear programming model consists of several components that work together to optimize a given objective while considering various constraints. The components of a linear programming model include:

Constraints: These are the limitations or restrictions that define the feasible set of solutions. Constraints restrict the values that decision variables can take.

Objective Function: This function represents the goal or objective of the linear programming problem. It is either minimized or maximized based on specific criteria.

Feasible Region: Also known as the feasible set or feasible solution space, this refers to the collection of all points that satisfy each constraint in the linear programming problem. It represents the set of possible solutions that meet all the given constraints.

However, "Decision variables" is not a component of a linear programming model but rather the unknowns or variables that we want to determine in order to optimize the objective function.

Decision variables are not a component of a linear programming model. The components of a linear programming model include constraints, objective function, and feasible region. The feasible region refers to the collection of all points that satisfy each constraint in the linear programming problem.

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\(~~~~~~ \textit{Simple Interest Earned Amount} \\\\ A=P(1+rt)\qquad \begin{cases} A=\textit{accumulated amount}\\ P=\textit{original amount deposited}\dotfill & \$1230\\ r=rate\to 3.19\%\to \frac{3.19}{100}\dotfill &0.0319\\ t=years\dotfill &3 \end{cases} \\\\\\ A = 1230[1+(0.0319)(3)] \implies \stackrel{balance}{\boxed{A \approx 1347.71}}~\hfill \underset{interest}{\stackrel{1347.71~~ - ~~1230}{\boxed{117.71}}}\)

The rate of change remains the same over the mentioned intervals, function f cannot be quadratic or exponential.

Hence, it can be concluded that function f is a linear function.

Based on the given information that the rate of change of function f is the same from x = -9 to x = -4 as it is from x = 1 to x = 6, we can conclude that function f is a linear function.

A linear function is characterized by a constant rate of change, meaning that the change in the function's value is consistent over any given interval.

In this case, the rate of change remains the same from x = -9 to x = -4 and from x = 1 to x = 6.

On the other hand, a quadratic function is characterized by a changing rate of change, meaning that the function's value changes at an increasing or decreasing rate over different intervals.

An exponential function, on the other hand, exhibits a rapid growth or decay with an increasing rate of change.

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Answer:

the width is 10ft, the length is 25ft, and the area is 250 sq ft

Answer:

The width = 10 ft./ The lenght = 25 ft./ The area = 250 ft.²

Step-by-step explanation:

use X as the width

so we'll get 2X+5 as the length

the perimeter = 2(length) + 2(width)

70 = 2(2X+5) + 2(X)

70 = 4x+10 + 2x

70 = 6x+10

60 = 6x

x = 10

as the beginning x is the width

so the width is 10 ft.

the lenght is 2x+5

2(10)+5 = 25

so the length is 25 ft.

The area of rectangle is width x length

so 10 x 25 = 250 ft.²

Answer:

Step-by-step explanation:

1. y = 2x

       y = 2*4 = 8  Checks, therefore

y = 20  for x = 10

2. y = 3x

       y = 3*(0.3) = 0.9  Checks, therefore:

y =  3*(1.5) = 4.5  

       y = 3*

3. y = 5/x

       y = 5/(1/2) = 10  Checks, therefore:

       3 = 5/x

x = 5/3

4 v = wu

7*3 = 21  Checks, therefore:

v =  (3/4)*(6) = (18/4) = (9/2)

v = (2/3)wu

v = (2/3)*7*3 = 14 Checks

5 m = Kn/p  [Add the K as a constant that will make m = Knp true at some value of K]

9 = K*2/(1/3)

27 = (K*2)

27 = 2K

K = (3/2)

       m = (3/2) (n/p)

       m = (3/2)*((1/2)/(1/3))

        m = (3/2)*(3/2)

        m = 1