Find F′(x) given that F(x)=∫4x25ln(t2) dt. (Do not include
"F′(x)=" in your answer.)
Question Find F"(x) given that F(x) = Provide your answer below: Content attribution - S₁² 2 4z 5 In (t²) dt. (Do not include "F'(x) = =" in your answer.) FEEDBACK MORE INSTRUCTION SUBMIT

Answer:

Step-by-step explanation:

for a) 6(9x-4)=15 x-24 by using the distributive prop,

also correct is 6*9x- 6*4

b) 7y+5y9y=21y

correct also 7y+14y

The standard deviation for this sample data set is 1.93.

What is deviation ?

Deviation refers to the difference between an individual value or observation and the average or mean value of a set of data. It can also refer to the extent to which a variable or set of data deviates from a standard or expected value.

To calculate the standard deviation for a sample data set, we first need to find the mean (average) of the data. In this case, the mean of the data set {5, 7, 6, 9, 6, 4, 4, 6, 5, 2, 5} is 5.45.

Once we have the mean, we can calculate the variance by taking the average of the squared differences between each data point and the mean. The variance is given by:

(1/n) * Σ(x_i - mean)^2

where n is the number of data points and x_i is the i-th data point.

The variance for this data set is 3.70.

Finally, we take the square root of the variance to get the standard deviation.

So, the standard deviation for this sample data set is 1.93.

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The mode salary of a major league baseball player being $600,000 means that more major league baseball players earn $600,000 than any other salary. In this context, "mode" represents the most frequently occurring value in a data-set, which, in this case, is the salaries of major league baseball players.

The correct answer to this question is (a) more major league baseball players earn $600,000 than any other salary. The mode is the value that appears most frequently in a dataset, and in this case, it means that $600,000 is the most common salary among major league baseball players. This doesn't necessarily mean that it's the middle salary or the average salary, as those would be the median and mean respectively. It also doesn't mean that no player makes less than $600,000, as there may be some players who earn less than this amount. Therefore, the correct answer is (a), which is the only option that accurately reflects what the mode represents in this context.

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Answer:

Step-by-step explanation:

I answered your question in #24317186. Apparently you asked it twice and no one helped you yesterday.

We solve as follows:

*Since angles 1 & 3 are opposite to congruent sides, then they are congruent too. Also, since their opposite by the vertex angles are also opposite to congruent sides we can determine that angles 1 & 3 are both equal to 90°.

Using the previous information, we determine angle 2:

37° + 90° + m<2 = 180° => m<2 = 53°

So, angle 2 has a measure of 53°.

Now, we proceed as follows:

*Since both triangles [Upper one and lower one] are congruent by SSS, then we have that angle 5 has a measure of 37° and therefore angle 4 has a measure of 53°.

In order:

m<1 = 90°

m<2 = 53°

m<3 = 90°

m<4 = 53°

Answer: $1.25 Per Roll

Step-by-step explanation:

(14,17.50) and (16,20)

An equation for this line in the point-slope form will be y-7 = -2(x + 4).

What is the Point-slope form?

The equation of the straight line has its slope and given point. If we have a non-vertical line that passes through any point(x1, y1) and has a gradient m. then general point (x, y) must satisfy the equation. Point-slope is a specific form of linear equations in two variables:

y - y₁ = m(x - x₁)

Which is the required equation of a line in a point-slope form.

We need to find the equation of the line that passes through (-4, 7) and whose slope is -2.

Well, we will simply plug m = -2, x₁= -4, and y₁  = 7 into point-slope form.

y-y₁ = m(x-x₁)

Now substitute;

y-7 = -2(x - (-4))

y-7 = -2(x + 4)

Therefore, an equation for this line in the point-slope form will be y-7 = -2(x + 4).

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n = the numerator of the fraction

\(\cfrac{p}{p-2}~~ = ~~\cfrac{n}{4-p^2}\implies \cfrac{p(4-p^2)}{p-2}~~ = ~~n\implies \cfrac{p(-1)(p^2-4)}{p-2}=n \\\\\\ \stackrel{ \textit{difference of squares} }{\cfrac{p(-1)(p^2-2^2)}{p-2}}=n\implies \cfrac{-p(p-2)(p+2)}{p-2}=n \\\\\\ \boxed{-p(p+2)=n}\hspace{5em}\cfrac{-p(p+2)}{4-p^2}\)

Answer:

16/55

Step-by-step explanation:

Answer: 16/55

Step-by-step explanation:1

5

+

2

22

=  

1 × 22

5 × 22

+

2 × 5

22 × 5

=  

22

110

+

10

110

=  

22 + 10

110

=  

32

110

=  

32 ÷ 2

110 ÷ 2

=  

16

55

National income increases, causing interest rates to increase - A) demand for loanable funds shifts outward.

Expansionary fiscal policy does not increase output, it only increases interest rates - E) the IS curve shifts outwards while the LM curve is vertical.

Nominal wages grow faster than the price level - B) real wages increase.

Firms become more confident about the future - D) the demand for money decreases and interest rates decrease.

Credit cards are introduced into the economy - C) the demand for money increases.

When national income increases, it leads to an outward shift in the demand for loanable funds, resulting in increased interest rates. This is because higher national income implies a greater demand for borrowing and investment, leading to increased demand for loanable funds.

Expansionary fiscal policy, which involves increasing government spending or reducing taxes, can lead to an outward shift in the IS curve. However, if the LM curve is vertical, it indicates that the central bank is controlling the money supply to maintain a fixed interest rate. In this case, expansionary fiscal policy will only result in increased interest rates and not increase output.

When nominal wages grow faster than the price level, it leads to an increase in real wages. Real wages refer to wages adjusted for inflation. If nominal wages increase at a faster rate than prices, it means workers have increased purchasing power, resulting in an increase in real wages.

When firms become more confident about the future, it leads to a decrease in the demand for money. Increased confidence encourages investment and spending, reducing the demand for holding money as firms are more willing to invest their funds rather than hold them.

The introduction of credit cards into the economy increases the convenience of transactions and allows individuals to easily access credit. This leads to an increase in the demand for money, as individuals require more money for transactions and credit card payments.

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Answer:

\( \underline{ \underline{ \text{Second \: Option}}}\)

Step-by-step explanation:

\( \tt{12 {x}^{4} + 39 {x}^{3} + 9 {x}^{2}} \)

⟶ \( \tt{3 {x}^{2} (4 {x}^{2} + 13x + 3)}\)

⟶ \( \tt{3 {x}^{2} \{4 {x}^{2} + (12 + 1)x + 3} \}\)

⟶ \( \tt{3 {x}^{2} \{4 {x}^{2} + 12x + x + 3 \}}\)

⟶ \( \tt{3 {x}^{2} \{ \: 4x(x + 3) + 1(x + 3) \}}\)

⟶ \( \boxed{ \tt{3 {x}^{2} (x + 3)(4x + 1)} }\)

Hope I helped ! ♡

Have a wonderful day / night ! ツ

▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁

Answer:

B) 3x2(x + 3)(4x + 1)

Step-by-step explanation:

Answer:

Step-by-step explanation:

The stock price of Company A decreased by $1.27 for 4 days, so the total decrease in the stock's price would be $1.27 * 4 = $5.08.

On the fifth day, the stock price increased by $3.47, so the total change in the stock's price over 5 days would be $3.47 - $5.08 = -$1.61.

So the total change in the stock's price over 5 days was a decrease of $1.61.

A histogram with a symmetric distribution looks like this:

Leaving aside the quality of the drawing, the left and the right side of the histogram are identical if we split it by the red line. Is like having a reflexion axis.

Now, we have to discuss what of the 2 data sets may have such an histogram. This means that we must think which of them may have the same number of ocurrences for very short and very long durations, for regular to short and regular to long durations, and so on and so furth.

Pop album tracks:

In the same album we may have arround 12 tracks (small number), all of them with a duration of arround 3 minutes. We could imagine a histogram like the following:

All the songs last between 170 and 190 seconds, and one or two last a little bit more.

Phone talks:

In this case, we can think that there are some calls to say something like "mom, I'm on my way home" and other like "let me tell you the hole movie I saw yesterday night", so very short and very long calls, but they are no so common. There are a lot of "regular" calls that might last for 60 seconds.

Also, in this case, we are taking into account all the calls from people in the school in one day (yesterday), so, may be 1.000 calls? The actual number really doesn't matter, but the fact that the number is very big. Because of the big number, we can expect a symmetric distribution.

Answer: perpendicular lines

Step-by-step explanation: try Desmos :) its a life saver ;)

The value of Σ (X – μ ) for the population is 0. Therefore, the correct option is D.

The formula for Σ (X – μ ) is the sum of deviations from the mean, which should always equal zero for the entire population. Hence, to find the value of Σ(X - μ) for the population, you should know that Σ(X - μ) equals 0 for any population.

This is because when you sum up all the deviations from the mean, the positive and negative differences cancel each other out. Therefore, regardless of the value of SS and σ2, the sum of deviations from the mean for the entire population will always be equal to zero.

Hence, the correct answer is option D: 0.

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Answer:

The answer is B. 50

Step-by-step explanation:

180-105=75

75+55=130

180-130=50

Answer:

25%

Step-by-step explanation:

The difference between his salary before and after the raise is 1200. 1200 is 25% of his salary before the raise, so it is a raise of 25%.

The required value of the x that makes the line n parallel to line m is 5.

Given that, to determine the value of x that makes the lines m and n parallel to each other.

The process in mathematics to operate and interpret the function to make the function or expression simple or more understandable is called simplifying and the process is called simplification.

Here,
For the lines m and n to be parallel the alternate opposite angle must be equal. So,
3x - 15 = 180 - 150
3x - 15 = 30
3x = 30 - 15
3x = 15
x = 15 / 3
x = 5

Thus, the required value of the x makes line n parallel to line m is 5.

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(a) To find the equation for the line tangent to the graph of y=f(x) at x=0, we need to first find the derivative of y with respect to x:
ⅆyⅆx = 10-2y

We can rewrite this as:
ⅆy/ⅆx + 2y = 10

To find the slope of the tangent line at x=0, we plug in x=0 and use the initial condition f(0)=2:
ⅆy/ⅆx = 10-2y
ⅆy/ⅆx at x=0 = 10-2(2) = 6

So the slope of the tangent line at x=0 is 6. Using the point-slope form of a line, we can find the equation of the tangent line:
y - f(0) = 6(x - 0)
y - 2 = 6x
y = 6x + 2

To approximate f(0.5), we plug in x=0.5:
f(0.5) ≈ 6(0.5) + 2 = 5

(b) To find ⅆ2y/ⅆx2, we need to find the second derivative of y with respect to x:
ⅆ(ⅆy/ⅆx)/ⅆx = ⅆ(10-2y)/ⅆx
ⅆ2y/ⅆx2 = -4(ⅆy/ⅆx)

At the point (0,2), we know that ⅆy/ⅆx = 6 (from part (a)), so ⅆ2y/ⅆx2 = -24. Since ⅆ2y/ⅆx2 is negative, the graph of y=f(x) is concave down at the point (0,2).

(c) To find y=f(x), we can separate the variables and integrate:
ⅆy/10-2y =ⅆx

-1/2 ln|10-2y| = x + C
ln|10-2y| = -2x + C'
|10-2y| = e^(-2x+C')
10-2y = ±e^(-2x+C')
2y = 10 - ±e^(-2x+C')
y = 5 - 1/2(±e^(-2x+C'))

Using the initial condition f(0)=2, we know that y=2 when x=0:
2 = 5 - 1/2(±e^(C'))
±e^(C') = 6
e^(C') = 6 or e^(C') = -6

We choose e^(C') = 6, so:
y = 5 - 1/2e^(-2x+ln6)
y = 5 - 3e^(-2x)/2

(d) To find limx→∞f(x), we can look at the exponential term e^(-2x) in the equation for y=f(x). As x gets very large, e^(-2x) approaches 0, so limx→∞f(x) = 5.

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In order to determine if the process of claims processing in the medical insurance company is in control, we need to use statistical process control (SPC). One commonly used tool for this is the control chart.

A control chart is a graph of the data collected over time, with control limits representing the range of variation that is considered acceptable. To create a control chart for this situation, we need to calculate the proportion of claims mailed late for each sample and plot them over time. We can then calculate the average proportion and the control limits, which are typically set at three standard deviations above and below the average. If the data falls within the control limits and there are no other patterns or trends, then we can conclude that the process is in control. Using the data provided, we can calculate the average proportion of claims mailed late to be 0.1536, and the control limits to be 0.0427 and 0.2644. Plotting the data on a control chart shows that the data points mostly fall within the control limits, with some variation but no major trends or patterns. Therefore, we can conclude that the process of claims processing in the medical insurance company is in control, meaning that the claims department is meeting its policy of processing all claims received within five days.

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Answer:

3

Step-by-step explanation:

its 8 because if you round it by 1 then you get 3

Step-by-step explanation:

\( \longmapsto \rm \dfrac{6m + 7}{3m + 2} = \dfrac{5}{4} \)

By cross multiplication,

→ 4(6m + 7) = 5(3m + 2)

→ 24m + 28 = 15m + 10

→ 24m - 15m = 10 - 28

→ 9m = -18

→ m = -18 ÷ 9

→ m = -2

Value of m is -2.

Answer:

A

Step-by-step explanation:

Getting closer together means that both are becoming more accurate.

A valid model is such model whose calculated value approximates to the actual value. If it doesn't approximate to the actual value, it must be close to the actual value.

The model is valid if the results from the survey are close enough, together.

Given that:

\(p_1 = 75\%\) -- the actual estimation of satisfied students

\(p_2 = 70\%\) -- the second estimation of satisfied students

For a model to be valid, the calculated value must be close to the actual value.

If after Mateo's survey of more students, the result of satisfied or very satisfied students is still close to 75%, then Mateo's model is valid.

If otherwise, then the model is invalid.

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Answer: I think the answer is C. (2, -4)

Step-by-step explanation:

When you reflect an image across the line Y = -X, you switch and negate both the X and Y-values. So just reverse the coordinate of F'. By doing this, you will get (2, -4).

The coordinate of the preimage F' after reflection over the line y =-x is (-2, -4)

Images that are reflected are mirror images of each other. If one of the coordinate point point (x, y) is reflected across a line y = -x, the resulting coordinate point will be (y, -x)

If one of the coordinate point of figure ABCDEF is reflected across the line y = -x, hence;

F (4,-2) -> reflection F'(-2, -4)

Hence the coordinate of the preimage F' after reflection over the line y =-x is (-2, -4)

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(a) The distributions that possess the property of having a finite sample space, X, are: Binomial, Uniform Discrete.

The Binomial distribution has a finite sample space because it represents the number of successes in a fixed number of independent Bernoulli trials.

The Uniform Discrete distribution also has a finite sample space since it assigns equal probabilities to a finite set of outcomes.

(b) The distribution that possesses the property of having p(0) equal to 0 is: Poisson.

In the Poisson distribution, the probability mass function assigns positive probabilities to non-zero values and the probability of observing zero events is equal to 0.

(c) The distribution that possesses the property of having the cumulative distribution function (CDF) consisting solely of one or more horizontal lines is: Uniform Continuous.

The Uniform Continuous distribution has a constant probability density function (PDF) over a specified interval, resulting in a CDF that is a straight horizontal line within that interval.

(d) The distributions that possess the property of being symmetric about E(X) (the mean) are: Normal, Standard Normal.

The Normal distribution is symmetric about its mean, and the Standard Normal distribution is a specific case of the Normal distribution with a mean of 0 and a standard deviation of 1.

To summarize:

(a) Finite sample space: Binomial, Uniform Discrete.

(b) p(0) = 0: Poisson.

(c) CDF with horizontal lines: Uniform Continuous.

(d) Symmetric about E(X): Normal, Standard Normal.

Understanding the properties of different probability distributions is important in statistical analysis and modeling, as it allows us to choose the appropriate distribution for a given situation.

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The measure of the angle of the near arc of the monument that her lines of sight intersect with is 124°

The angle of an arc of a circle is the angle formed by the two radii of the circle that intersects with the boundaries of the arc

The distance the park maintenance person stands from the monument = 16 m

The angle the lines of sight from the maintenance person that are tangent with the monument make where they intersect = 56°

Whereby the tangent lines from the monument to the maintenance person intersect and form an angle of 56°, we get that the tangent lines form two right triangles, please see the attached figure which is created with MS Excel;

The right triangles ΔABO and ΔACO are congruent by Leg Hypotenuse, LH, congruence rule

Therefore; ∠OAC ≅ ∠OBC

m∠OAC = m∠OBC (Definition of congruent angles)

Similarly, m∠BOA = m∠COA

However, m∠BAC = m∠OAC  + m∠OBC (Angle addition postulate)

m∠BAC = 2 × m∠OAC = 56°

m∠OAC = 56° ÷ 2 = 28°

m∠BOA = 90° - m∠OBC (Acute angles of a right triangle)

m∠BOA = 90° - 28° = 62°

Therefore, m∠BOA = m∠COA = 62°

The angle at the center = m∠BOC = m∠BOA + m∠COA

m∠BOC = 62° + 62° = 124°

Angle formed at the center of the monument, m∠BOC = 124°

The arc angle of a circle = The angle the radius of the arc forms at the center of the circle.

The measure of the arc close to the park maintenance person is 124°

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It is not of exponential order for h(t) = et2. F is of exponential order and has order. F is piecewise continuous. No function's Laplace transform is possible. g(t) = eat, where t [0,.

Non-exponential form:

To represent a scientifically notated number as a non-exponential quantity: • Remove the exponential component of the number by moving the decimal point the same number of places as the exponent's value. The decimal is moved to the right by the same number if the exponent is positive.

Here are a few instances of functions other than exponential ones. y = 3 1 x as a result. n = 0 3 p as a result. Because y = ( 4) x. Since b = 1, y = 6 0 x.

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The largest rectangle outlined in the upper half of the circle has a 16-square-foot surface area. By using the ellipse's equation, x2/5 + y2/2 = 1, to solve for the x and y coordinates of the four vertices of the biggest rectangle encircling the upper half of the ellipse, we may get this. The product of the side lengths of the rectangle can then be used to get its area.

The largest rectangle outlined in the upper half of the circle has a 16-square-foot surface area. By using the ellipse's equation, x2/5 + y2/2 = 1, we can calculate the x and y coordinates of the four vertices of the greatest rectangle encircling the upper half of the elliptical in order to get its area. Setting x = -2 and y = 1 will yield the upper left vertex; x = 2 and y = 1 will yield the upper right vertex; x = -2 and y = -1 will yield the lower left vertex; and x = 2 and y = -1 will yield the lower right vertex. As soon as the vertices' coordinates are known, the side lengths of the

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Answer:

Answer is

387420489

Step-by-step explanation:

Use ur calculator