Which statement is true?
A All whole numbers are integers.
B All whole numbers are natural.
C All natural numbers are irrational.
D All integers are whole numbers.

If the base of the solid is bounded by the curves f(x) = x2 and g(x) = x + 2 and the cross-sections perpendicular to the x-axis are rectangles of height 3 then the volume of the given solid is 9 cubic units.

The volume of the given solid can be found using the method of slicing, where we first determine the area of each cross-sectional rectangle and then integrate it over the specified region.

The base of the solid is bounded by the curves f(x) = x^2 and g(x) = x + 2. To find the region between these curves, we can set them equal to each other and solve for x:

x^2 = x + 2
x^2 - x - 2 = 0
(x - 2)(x + 1) = 0

This gives us two points of intersection: x = 2 and x = -1.

Now, let's find the length of the base of each rectangle, which is the difference between the y-values of the two curves:

Base length = g(x) - f(x) = (x + 2) - x^2

Since the height of each rectangle is given as 3, the area of each rectangle can be calculated as:

Area = Base length * Height = [(x + 2) - x^2] * 3

To find the volume of the entire solid, we integrate the area of the rectangles along the x-axis, between the intersection points -1 and 2:

Volume = ∫[3((x + 2) - x^2)] dx from -1 to 2

Evaluating this integral, we get:

Volume = 3[(x^2/2 + 2x - x^3/3)] from -1 to 2 = 9 cubic units

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Answer:

C

Step-by-step explanation:

-4 is greater than -7

Answer:

He's right it's A: 13.8

Step-by-step explanation:

The shape of the probability distribution for the random walk problem depends on the values of p and q. When p = q, the distribution is symmetric, while if p and q have different values, the distribution becomes asymmetric.

The shape of the probability distribution for the problem of the random walk can be determined by considering the values of p and q, where p represents the probability of moving in one direction and q represents the probability of moving in the opposite direction.
(a) In this case, we are given that p = q = 1/2, which means that there is an equal probability of moving in either direction.
When p = q = 1/2, the probability distribution for the random walk problem will have a symmetric shape. This means that the probabilities of moving to the left and the right are the same. For example, if we start at position 0 and take 20 steps, the probability of ending up at position +10 will be the same as the probability of ending up at position -10.
It is important to note that the specific values of p and q do not affect the shape of the distribution. As long as p = q, the distribution will be symmetric.

(b) Now, let's consider a different scenario where p = 0.6 and q = 0.4. In this case, the probability of moving in one direction is greater than the probability of moving in the opposite direction. This will result in an asymmetric probability distribution.
For example, if we start at position 0 and take 20 steps, the probability of ending up in a positive position will be higher than the probability of ending up in a negative position. The distribution will be skewed towards the positive position.

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Answer/Step-by-step explanation:

1. (0, 3) and (-4, -3)

\( Slope = \frac{y_2 - y_1}{x_2 - x_1} = \frac{-3 - 3}{-4 - 0} = \frac{-6}{-4} = \frac{3}{2} \)

2. (2, -5) and (0, 5)

\( Slope = \frac{y_2 - y_1}{x_2 - x_1} = \frac{5 - (-5)}{0 - 2} = \frac{10}{-2} = -5 \)

3. (-5, -5) and (-3, 5)

\( Slope = \frac{y_2 - y_1}{x_2 - x_1} = \frac{5 -(-5)}{-3 -(-5)} = \frac{10}{2} = 5 \)

4. (0, -5) and (5, 5)

\( Slope = \frac{y_2 - y_1}{x_2 - x_1} = \frac{5 - (-5)}{5 - 0} = \frac{10}{5} = 2 \)

5. (-4, 5) and (1, 0)

\( Slope = \frac{y_2 - y_1}{x_2 - x_1} = \frac{0 - 5}{1 - (-4)} = \frac{-5}{5} = -1 \)

6. (-5, 1) and (5, -4)

\( Slope = \frac{y_2 - y_1}{x_2 - x_1} = \frac{-4 - 1}{5 -(-5)} = \frac{-5}{10} = -\frac{1}{2} \)

7. (-1, 4) and (-2, 1)

\( Slope = \frac{y_2 - y_1}{x_2 - x_1} = \frac{1 - 4}{-2 -(-1)} = \frac{-3}{-1} = 3 \)

8. (-5, 1) and (5, 0)

\( Slope = \frac{y_2 - y_1}{x_2 - x_1} = \frac{0 - 1}{5 - (-5)} = \frac{-1}{10} = -\frac{1}{10} \)

9. (-5, -2) and (5, -3)

\( Slope = \frac{y_2 - y_1}{x_2 - x_1} = \frac{-3 -(-2)}{5 -(-5)} = \frac{-1}{10} = -\frac{1}{10} \)

10. (-3, 2) and (-5, 3)

\( Slope = \frac{y_2 - y_1}{x_2 - x_1} = \frac{3 - 2}{-5 -(-3)} = \frac{1}{-2} = -\frac{1}{2} \)

Answer:

is it from the text book

Step-by-step explanation:

The one-day VaR of a $50 million portfolio with a daily standard deviation of 2% at a 95% confidence level is $1.65 million.

The VaR at a specific confidence level represents the maximum expected loss within a certain time frame. In this case, we are interested in the one-day VaR at a 95% confidence level.

The formula to calculate VaR is:

VaR  = Portfolio Value * z * Daily Standard Deviation

Where:

- Portfolio Value is the value of the portfolio ($50 million in this case).

- z is the z-score corresponding to the desired confidence level. For a 95% confidence level, the z-score is approximately 1.645.

- Daily Standard Deviation is the daily standard deviation of the portfolio returns (2% in this case).

Plugging in the values into the formula:

VaR = $50,000,000 * 1.645 * 0.02

VaR ≈ $1,645,000

Therefore, the one-day VaR of a $50 million portfolio with a daily standard deviation of 2% at a 95% confidence level is $1.65 million.

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Answer:

105 frames

Step-by-step explanation:

Given that 25 frames are played per second

25 frames= 1 sec

The video already played 3 and 2/5 seconds before the player started to count 0

Write 3 and 2/5 seconds as an improper fraction

=(5*3)+2 / 5 = 17/5 seconds

Multiply by 25 frames

17/5 *25 =85 frames

So according to the video counter,after 17/5 seconds,it should count 85 frames.However,at 0 seconds,it indicated a count of 190 frames.Thus,to get the number of frames that were already in count you subtract 85 frames from the 190 frames.

190-85=105 frames.

Step-by-step explanation:

Answer:

Range - 8.123

Mean - 48.253

Variance - 87.285

Last one is 7.20

Step-by-step explanation:

Answer:

First payment (50%) would be 512$

The next two payments would be 32$ each

Explanation:

.5(1024)= 512

.25(512)=128

.25(128)= 32

M=11

N=2

11•11=121

2•2=4

121-4=117

Answer:

the graph... it's slope is |2| and the chart is |1|

the absolute values are there because the questions only says "how steep"

not the direction

Step-by-step explanation:

The poetic line are Upon the shore, where whispers reside, We danced embraced, as the waves collide, Bound by love's current, our hearts confide, In sync with the rhythm of the eternal tide.

A poetic line is a fundamental unit of poetry, typically consisting of a sequence of words that form a single line within a poem. Poetic lines can vary in length, from a single word to several syllables or more.

They play a crucial role in shaping the structure, rhythm, and overall flow of a poem. The arrangement of words in a poetic line allows poets to convey their thoughts, emotions, and imagery in a condensed and impactful manner.

The choice of words, their order, and the use of techniques like rhyme, meter, and metaphor all contribute to the artistic expression and impact of a poetic line. The poetic lines are

Upon the shore, where whispers reside,

We danced embraced, as the waves collide,

Bound by love's current, our hearts confide,

In sync with the rhythm of the eternal tide.

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first off, let's notice that the y-coordinates are the same for both points, meaning is really just a horizontal line, and its slope is 0, however, let's go through the rigamarole

\((\stackrel{x_1}{5}~,~\stackrel{y_1}{-3})\qquad (\stackrel{x_2}{8}~,~\stackrel{y_2}{-3}) \\\\\\ \stackrel{slope}{m}\implies \cfrac{\stackrel{\textit{\large rise}} {\stackrel{y_2}{-3}-\stackrel{y1}{(-3)}}}{\underset{\textit{\large run}} {\underset{x_2}{8}-\underset{x_1}{5}}} \implies \cfrac{-3 +3}{3} \implies \cfrac{ 0 }{ 3 } \implies \text{\LARGE 0}\)

Answer:

x^2 + 4x - 4.

Step-by-step explanation:

(f + g)(x) is the same thing f(x) + g(x), which is the same thing as (4x + 1) + (x^2 - 5).

(4x + 1) + (x^2 - 5)

= x^2 + 4x + 1 - 5

= x^2 + 4x - 4

Hope this helps!

Answer:

how do we find this out

Step-by-step explanation:

Answer:

0.456 kg

Step-by-step explanation:

The relationship between two variables that begins as a direct correlation and then becomes an indirect correlation, or vice versa, is known as a nonlinear correlation.

A nonlinear correlation is when the relationship between two variables is not linear - that is, the correlation between them does not increase or decrease proportionately as one variable increases or decreases. Nonlinear correlations are important in research as they can suggest that a phenomenon is more complex than a linear correlation would indicate.

For example, if two variables have a direct linear correlation, then a small increase in one variable would result in a predictable increase in the other. However, with a nonlinear correlation, a small increase in one variable may result in a much larger or much smaller increase in the other. This suggests that other factors, not captured in the linear correlation, are influencing the relationship between the two variables.

Nonlinear correlations can be positive (the two variables increase or decrease together), negative (one variable increases as the other decreases, or vice versa), or both. Depending on the circumstances, the type of nonlinear correlation can have important implications for the research question being studied.

It is important to note that nonlinear correlations may be caused by a variety of factors, including chance, measurement errors, or the presence of an extraneous variable that has not been accounted for. As such, they should always be further investigated and not taken as an absolute conclusion.

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Answer: yes it is rational

Step-by-step explanation:

Answer: 89.396668... is a rational number

Step-by-step explanation:

Answer:

\(\frac{5}{-2}\)

Step-by-step explanation:

Slope (m) formula = \(\frac{rise}{run}\) =\(\frac{y2-y1}{x2-x1}\)

Insert the points (-3,-1),(-5,4)

\(\frac{4--1}{-5--3}\)=\(\frac{5}{-2}\)

Answer:

The slope of the line is 5/-2.

Step-by-step explanation:

You may use the slope method for the method on getting the answer. One is attatched for you to see.

A graph is also shown for you.

Answer:

16m²

Just find the volume by multiplying the length, width, and height

Step-by-step explanation:

Answer:

A)

Step-by-step explanation:

You just basically substitute the coordinates into the equation

2x+3y =6

2(0) +3y =6

y=2

Answer:

A parallelogram is a quadrilateral with 2 pairs of parallel sides

The revenue function R(x) is given by (216 - 0.2x)x dollars. The cost function C(x) is (0.80x + 112)x + 12,400 dollars. The profit function P(x) is R(x) - C(x).

Here are the calculations for the revenue, cost, and profit functions:

Revenue function:
R(x) = (216 - 0.2x)x

Cost function:
C(x) = (0.80x + 112)x + 12,400

Profit function:
P(x) = R(x) - C(x)

Let's expand and simplify these equations:

Revenue function:
R(x) = (216 - 0.2x)x
R(x) = 216x - 0.2x^2

Cost function:
C(x) = (0.80x + 112)x + 12,400
C(x) = 0.80x^2 + 112x + 12,400

Profit function:
P(x) = R(x) - C(x)
P(x) = (216x - 0.2x^2) - (0.80x^2 + 112x + 12,400)
P(x) = 216x - 0.2x^2 - 0.80x^2 - 112x - 12,400
P(x) = -1x^2 + 104x - 12,400

Therefore, the functions are:
Revenue function: R(x) = 216x - 0.2x^2
Cost function: C(x) = 0.80x^2 + 112x + 12,400
Profit function: P(x) = -1x^2 + 104x - 12,400

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Answer:

x = -3

Step-by-step explanation:

5x + 3 = 4x,

x + 3 = 0,

x = -3

Answer:

the answer for this would be -3

Answer:

\(f(-7) = 20\)

Step-by-step explanation:

Given:

\(f(x) = 2(3 -x)\)

Solving for \(f(-7)\):

\(f(-7) = 2(3 -(-7)) \\ f(-7) = 2(3 +7) \\ f(-7) = 2(10) \\ f(-7) = 20\)

Answer:

4,-2,1

Step-by-step explanation:

Keep dividing the previous term by -1/2

So we get

4,-2,1

The statement can be written in symbols as follows: (X' ∩ Y')

In the given statement, we are asked to find the intersection of the complements of sets X and Y. The complement of a set represents all the elements that do not belong to that set. So, X' denotes the complement of set X, which includes all the elements not present in X. Similarly, Y' represents the complement of set Y, which includes all the elements not present in Y.

To find the intersection of the complements of X and Y, we take the elements that are common to both X' and Y'. This means we are looking for the elements that do not belong to X and also do not belong to Y. The resulting set will contain all the elements that are not present in either X or Y.

By taking the intersection of X' and Y', we can determine the set of elements that satisfy this condition.

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