what is the answer to the question?​ Need help asap

Answer:

D

Step-by-step explanation:

The  maclaurin series of the function the expression of cn for n ≥2 to

cn = 4(-1)²(n-1)/(5²(2n-1)(2n-1)).

To find the Maclaurin series of the function f(x) = (4x)arctan(5x²2), we first need to find its derivatives:

f'(x) = 4arctan(5x²2) + (4x)(1/(1+(5x²2)))

f''(x) = 40x/(1+(5x²2))²2 + 4/(1+(5x²2))

f'''(x) = (120x²3 + 120x)/(1+(5x²2))^3

f''''(x) = (1200x²4 + 2400x2 - 480)/(1+(5x²2))²4

From the general formula for the Maclaurin series, we have:

cn = (1/n!)fⁿ(0)

So, the coefficients of the Maclaurin series are:

c0 = f(0) = 0

c1 = f'(0) = 4arctan(0) + (4(0))(1/(1+(5(0)²2))) = 0

c2 = f''(0) = 4/(1+(5(0)²2)) = 4

c3 = f'''(0) = 0

c4 = f''''(0) = -480/1 = -480

c5 = 0

and so on...

Therefore, the Maclaurin series for f(x) is:

f(x) = 4x - 480x²4/4

or, in sigma notation:

f(x) = ∑n=0[infinity] ((-1)²n(4²(2n+1))(x²(2n+1)))/((2n+1)(5²(2n+1))))

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The Maclaurin series representation of the function

\(\(f(x) = (4x)\arctan(5x^2)\)\)  is:

\(\[f(x) = c_0 + c_1x + c_2x^2 + c_3x^3 + \sum_{n=4}^{\infty} c_nx^n\]\)

For finding the Maclaurin series of the function \(\(f(x) = (4x)\arctan(5x^2)\)\) , we can start by finding the derivatives of \(f(x)\) and evaluating them at (x = 0) to obtain the coefficients \(\(c_n\).\)

The Maclaurin series representation of \(f(x)\) will be:

\(\[f(x) = \sum_{n=0}^{\infty} c_nx^n\]\)

Let's proceed with finding the derivatives and evaluating them at \(x = 0\) to determine the coefficients.

1. First, let's find the derivatives of (f(x)):

\(\[f'(x) = 4\arctan(5x^2) + 8x^2\frac{1}{1+(5x^2)^2}\]\[f''(x) = 8\left(\frac{1}{1+(5x^2)^2}\right) + 8x^2\left(\frac{-10x(5x^2)}{(1+(5x^2)^2)^2}\right)\]\[f'''(x) = 8\left(\frac{-10x(5x^2)}{(1+(5x^2)^2)^2}\right) + 8x^2\left(\frac{-10x(5x^2)}{(1+(5x^2)^2)^2}\right) + 48x\left(\frac{1}{1+(5x^2)^2}\right)\]\)

2. Now, let's evaluate the derivatives at (x = 0) to determine the coefficients:

\(\[f(0) = c_0 \cdot 0^0 = c_0\]\[f'(0) = c_1 \cdot 0^1 = 0\]\[f''(0) = c_2 \cdot 0^2 = 8\]\[f'''(0) = c_3 \cdot 0^3 = 0\]\)

From these evaluations, we can determine the coefficients as follows:

\(\[c_0 = f(0)\]\[c_1 = \frac{f'(0)}{1!}\]\[c_2 = \frac{f''(0)}{2!}\]\[c_3 = \frac{f'''(0)}{3!}\]\)

Therefore, the coefficients for the Maclaurin series of \(f(x)\) are:

\(\[c_0 = f(0)\]\[c_1 = 0\]\[c_2 = \frac{8}{2} = 4\]\[c_3 = 0\]\)

The Maclaurin series representation of (f(x)) becomes:

\(\[f(x) = c_0 + c_1x + c_2x^2 + c_3x^3 + \sum_{n=4}^{\infty} c_nx^n\]\)

Substituting the known coefficients:

\(\[f(x) = c_0 + 4x^2 + \sum_{n=4}^{\infty} c_nx^n\]\)

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Answer:

-2

Step-by-step explanation:

1-(6-3)

multiply the negative into the bracket so it becomes

= 1-6+3

= -2

Answer:

-0.76

Step-by-step explanation:

Answer:

-0.76

Step-by-step explanation:

this is pretty simple subtraction but you just take 14.36 and subtract it by 15.12 and you know it will be a negative number because 15.12 is bigger than 14.36 and so your answer is -0.76

The area of the trapezoid is 35 square meters

From the question, we are to find the area of the given trapezoid.

To find the area of a trapezoid, we can use the formula:

A = 1/2(a + b)h

Where A is the area of the trapezoid

a and b are the bases of the trapezoid

and h is the height of the trapezoid

Substituting the given values into the formula, we get

A = 1/2(4 + 6)(7)

Simplifying this expression gives:

A = 1/2(10)(7)

A = 5 × 7

A = 35

Therefore, the area is 35 square meters

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Answer:

8125 mm

Step-by-step explanation:

Not that sure

Answer:

8.4 in

Step-by-step explanation:

Solution:-

- We consider the large right angle triangle namely, " XVW "

- We will recall all the trigonometric ratios that are applicable to all right angled triangles.

- While we are dealing with trigonometric ratios we have the following terms that needs to be correlated with the given specific problem:

            Hypotenuse ( H ): Side opposite to 90 degrees angle

            Base (B): The side adjacent to the available angle ( θ )

            Perpendicular (P): The side opposite to the available angle ( θ )

- We will go ahead and mark our respective sides as follows:

            Angle ( θ ) : 34°

            Hypotenuse ( H ) : XW = 15 in

            Base ( B ) : VW

            Perpendicular ( P ) : VX

- Now recall all the trigonometric ratios studied:

           sin ( θ ) = P / H = VX / XW

           cos ( θ ) = B / H = VW / XW

           tan ( θ ) = P / B = VX / VW

- Now choose the appropriate trigonometric ratio with two values given and one ( VX ) that needs to be determined as follows:

                             sin ( θ ) = P / H = VX / XW

                             sin ( 34° ) = VX / 15

                             VX = 15*sin ( 34° )

                             VX = 8.387 .. ( 8.4 ) in

Answer: r=2.69. Calculate the radius of circle:Round the number: r=2.69Answer: r=2.69

Answer:

17 rose  bushes

Step-by-step explanation:

Add all of them together  to find the answer. HOPE this helps:> please mark brainliest

Answer:

17 rose bushes

Step-by-step explanat

2 and 3

so if he plants 3 roses for evry 2 lilies   12- 3   en then take away 3 till 0 and count how many 3 example :   12-3 = 9

                                                    9-3= 3

                                                  3-3=0  

The correct answer is option B) 2.4 ml. The 2.4 milliliters would be needed to be drawn up for one dose.

To calculate the amount of Dexamethasone 4 mg/5 mL needed for a 12 mg dose, we can use a simple proportion:

4 mg / 5 mL = 12 mg / x

Cross-multiplying, we get:

4 mg * x = 60 mg

x = 60 mg / 4 mg/mL

x = 15 mL

Therefore, to administer a 12 mg dose of Dexamethasone using the available drug concentration of Dexamethasone 4 mg/5 mL, we need to draw up only 2.4 mL.

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Answer: i√47, -i√47

Step-by-step explanation: M.athway

There is a 5.71% probability that a randomly selected value from a standard normal distribution is less than -1.58.

To find the probability P(z > -2.24) for a standard normal distribution, we need to calculate the area under the curve to the right of -2.24. Since the standard normal distribution is symmetrical, we can use the fact that P(z > -2.24) is equivalent to 1 - P(z ≤ -2.24). Using a standard normal distribution table or a statistical software, we find that the area to the left of -2.24 is approximately 0.0125 . Therefore, P(z > -2.24) = 1 - P(z ≤ -2.24) = 1 - 0.0125 = 0.9875. In other words, there is a 98.75% probability that a randomly selected value from a standard normal distribution is greater than -2.24.

For P(−1.58), we need to find the area under the curve to the left of -1.58. Using a standard normal distribution table or software, we find that this area is approximately 0.0571. Therefore, P(−1.58) = 0.0571. In other words, there is a 5.71% probability that a randomly selected value from a standard normal distribution is less than -1.58.

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Answer: 13/25

Step-by-step explanation: it is equal to 52% which is greater than 50%

50% is greater than 13/25. To compare these two values, you can convert both of them to a common denominator, such as 50%. 50% is equal to 1/2, so 13/25 is equal to 52/50, which is less than 1/2 or 50%. Alternatively, you can also express both fractions as decimals and compare the two values that way. 50% is equal to 0.5, and 13/25 is equal to 0.52, so 50% is still greater than 13/25.

Hi ! Does the question include an image?

Answer:

This one

Step-by-step explanation:

Help me

your swing is about 5% longer than your friend's swing.The ratio of the lengths of your swing and your friend's swing can be found using the formula:

(number of cycles completed) / (length of swing)

Let L be the length of your friend's swing, then your swing is (L + x) where x is the extra length.

For your swing, 15 / (L + x) = 1
For your friend's swing, 14.3 / L = 1

Solving for L and x, we get:
L = 14.3
x = 0.7

Therefore, the ratio of the length of your swing to the length of your friend's swing is:
(L + x) / L = (14.3 + 0.7) / 14.3 = 1.05.

So your swing is about 5% longer than your friend's swing.

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Answer:

132

Step-by-step explanation:

C=5

3c - 2 = 13

2c = 10

4c + 1 = 21

4c + 2 = 22

length = (3c- 2) + (4c + 1)

length = 13 + 21

length = 34

width = (4c + 2) + (2c)

width = 22 + 10

width = 32

Perimeter

p = 2l + 2w

p = 2*34 + 2*32

p = 68 + 64

p = 132

Answer:

2.4

Step-by-step explanation:

You first do 2 divided by 5 which gives you 0.4. You then multiply by 6, which gives you 2.4. Hope this helped!

Answer:

2.4 or 2 ²/₅

Step-by-step explanation:

2/5 *6/1 = 12/5

make into a decimal or mixed fraction

12/5 * 2 = 24/10

2.4

Answer:

D. 0

Step-by-step explanation:

A function must not have 2 or more first number or X that have the same value.

Answer:

the right is the answer :>

Step-by-step explanation:

Sample variance and standard deviation are considered biased estimates of population variance and standard deviation because they tend to underestimate the true population variance and standard deviation.

The reason for this is that the sample variance and standard deviation are based on a sample of the population, not the entire population. The sample may not accurately represent the entire population, and thus the sample variance and standard deviation may not accurately reflect the true population variance and standard deviation. To correct for this bias, a correction factor is usually added to the sample variance calculation. For example, when estimating the population variance from a sample of size n, the sample variance is divided by (n-1) instead of n. This correction factor helps to provide a more accurate estimate of the population variance. Similarly, the sample standard deviation is calculated as the square root of the sample variance, and the correction factor is also applied to the sample standard deviation calculation. This corrected sample standard deviation is known as the unbiased sample standard deviation.

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Complete Question

sample variance and standard deviation are considered biased estimates of population variance and standard deviation because they tend to: What?

Answer:

same thing as adding 3/5 +3/5

total number of parts in a rectangle is 5

the product is 6/5 or 1 1/5

Answer:

1071

Step-by-step explanation:

1989÷13=153

so x=153

153×7=1071

so 7x=1071

Answer:

1,071

Explanation:

If 13x = 1,989, then I can find x by dividing 1,989 by 13:

\(\sf{13x=1,989}\)

\(\sf{x=153}\)

Multiply 153 by 7:

\(\sf{7\times153=1,071}\)

Hence, the value of 7x is 1,071.

Answer:

<d=90 and <f and <e are both 45?

Step-by-step explanation:

Answer:

90-38 = 52

D = 90

E = 38

F = 52

Step-by-step explanation:

a) There is not enough evidence to conclude that cars get significantly better fuel economy with premium gasoline.

In order to test the belief that premium gasoline provides better fuel economy, a study was conducted using 10 cars from a company fleet. Each car was randomly assigned either regular or premium gasoline, and the mileage for each tankful was recorded. The data was analyzed to determine if there is a significant difference in fuel economy between the two types of gasoline.

To evaluate this, a paired t-test can be used since the same cars were tested with both types of gasoline. The null hypothesis would be that there is no difference in fuel economy between regular and premium gasoline, while the alternative hypothesis would be that there is a significant difference.

The results of the study would be analyzed using the appropriate statistical test, such as a paired t-test, to determine the p-value. If the p-value is less than the chosen significance level (e.g., 0.05), then there would be evidence to reject the null hypothesis and conclude that there is a significant difference in fuel economy.

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Answer:

72 games in total

Step-by-step explanation:

hope this helps :)

To implement the Boolean expression F(x,y,z) = xyz + (y′ + z) using a combinational circuit, we can use two AND gates and one OR gate.

To draw the combinational circuit that directly implements the Boolean expression F(x, y, z) = xyz + (y′ + z), follow these steps:
1. Identify the individual terms in the expression: xyz and (y′ + z).
2. Draw an AND gate for the term xyz:
  - Connect the input lines of the AND gate to x, y, and z.
3. Draw an OR gate for the term (y′ + z):
  - To obtain y′, connect an input line from y to a NOT gate.
  - Connect the output of the NOT gate and an input line from z to the input of the OR gate.
4. Combine the results from steps 2 and 3 with an OR gate:
  - Connect the outputs of the AND gate and the OR gate from steps 2 and 3 to the input lines of a final OR gate.
5. The output of the final OR gate is the function F(x, y, z).
In summary, the combinational circuit consists of 1 AND gate, 2 OR gates, and 1 NOT gate arranged as described above to directly implement the given Boolean expression.

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Answer:

$173

Step-by-step explanation:

10 - (taking away each week)

12 - (the amount of time)

10 x 12 = 120

$120 - $293 = $173

(or take 10 away for $293 12 times)

Bye, have a great day/night.

Joe's account have $173 after withdrawing.

The unitary technique involves first determining the value of a single unit, followed by the value of the necessary number of units.

For example, Let's say Ram spends 36 Rs. for a dozen (12) bananas.

12 bananas will set you back 36 Rs. 1 banana costs 36 x 12 = 3 Rupees.

As a result, one banana costs three rupees. Let's say we need to calculate the price of 15 bananas.

This may be done as follows: 15 bananas cost 3 rupees each; 15 units cost 45 rupees.

Given:

Joe had $293 in his savings account.

each week amount withdrawal = $10

So, after 12 weeks  Joe's account have

= 293 - 12x 10

= 293 - 120

= 173

Hence, Joe's account have $173 after withdrawing.

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1. The area of the scale drawing of the park is 146,880 square inches (Option J).

2. The perimeter of the park is 126 feet (Option D).

3. The length of the south side of the park is 40% of the length of the north side (Option F).

1. To find the area of the scale drawing of the park, we need to calculate the area of the trapezium. The formula for the area of a trapezium is (base1 + base2) * height / 2.

Using the scale, the lengths of the bases (parallel sides) in feet would be:

Base1 = 28 inches * 1.5 feet/inch = 42 feet

Base2 = 40 inches * 1.5 feet/inch = 60 feet

Plugging in the values into the formula, we have:

Area = (42 + 60) * 16 / 2 = 1020 square feet

Since the answer options are in square inches, we need to convert the area back to square inches:

Area = 1020 square feet * 144 square inches/square foot = 146880 square inches

Therefore, the area of the scale drawing of the park is 146880 square inches.

2. The perimeter of the park can be calculated by summing up the lengths of all sides.

The lengths of the sides in feet would be:

Side1 = 28 inches * 1.5 feet/inch = 42 feet

Side2 = 40 inches * 1.5 feet/inch = 60 feet

Side3 = 16 inches * 1.5 feet/inch = 24 feet

Adding up all sides, we have:

Perimeter = Side1 + Side2 + Side3 = 42 feet + 60 feet + 24 feet = 126 feet

Therefore, the perimeter of the park is 126 feet.

3. To find the percentage length of the south side compared to the north side, we can calculate:

Percentage = (South Side Length / North Side Length) * 100

Using the scale, the length of the south side in feet would be:

South Side Length = 16 inches * 1.5 feet/inch = 24 feet

The length of the north side is already given as 40 inches * 1.5 feet/inch = 60 feet.

Plugging in the values, we have:

Percentage = (24 feet / 60 feet) * 100 = 40%

Therefore, the length of the south side of the park is 40% of the length of the north side.

Complete Question:

Mikea, an intern with the Parks and Recreation Department, is developing a proposal for the new trapezoidal Springdale Park. The figure below shows her scale drawing of the proposed park with 3 side lengths and the radius of the merry-go-round given in inches. In Mikea's scale drawing, 1 inch represents 1.5 feet.

1. What is the area, in square inches, of the scale drawing of the park? 448 544 H. 640 672 K. 1.088

2. Mikea's proposal includes installing a fence on the perimeter of the park. What is the perimeter, in feet, of the park? A. 84 B. 88 C. 104 D. 126 E 156

3. The length of the south side of the park is what percent of the length of the north side? F. 112% G. 1245 H. 142 J. 1754 K. 250%

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Given function is not one to one function.

Thus, "the above function is a one-to-one function" - false.

One-to-one functions are unique functions that map each element of the range to only one element of their domain, guaranteeing that the outputs never duplicate. A one-to-one function is one that yields a unique result for each input. The test is failed and the function is not one-to-one if at any time the line crosses the function more than once.

Hence, the expression f = f means that x₁ = x₂. In other words, each element of the function's co-domain is at most one of its domain's elements.

Hence, the given function is not one-to-one function.

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Answer:

it is a statistical measure of the relationship between two variables that indicates the extent to which the variables change together in the same or opposite direction. Correlation does not imply causation, meaning that a correlation between two variables does not necessarily mean that one variable causes the other.

Based on this definition, the correct answer is b. Increasing values of X go with either increasing or decreasing values of Y. A correlation exists between two variables when both variables increase or decrease together. This statement captures the idea that correlation can be positive or negative, and that it reflects a linear relationship between two variables.

Step-by-step explanation:

a is wrong because it only describes positive correlation, not negative correlation.

c is wrong because it confuses correlation with consistency. Correlation does not require that higher values of X always go with higher or lower values of Y, only that they tend to do so on average.

d and f are wrong because they assume causation from correlation, which is a logical fallacy.

e is wrong because it contradicts itself. It says that increasing values of X go with increasing values of Y, which is positive correlation, but then it says that a correlation exists when both variables decrease together, which is negative correlation.

If X is correlated with Y, it implies a predictive statistical relationship between X and Y. This correlation can be positive or negative implying respective increase or decrease in values of both variables. But, this correlation doesn't prove causation.

If X is correlated with Y, it indicates a statistical relationship between the two variables, X and Y. This relationship can be positive or negative. If it is a positive correlation, as X increases, Y will also increase and similarly, as X decreases, Y will also decrease. Contrarily, in a negative correlation, as X increases, Y decreases and vice versa. However, it is important to understand that correlation does not imply causation. That is, if X and Y are correlated, it does not necessarily mean that changes in X cause changes in Y or vice versa. It only means that they move in a predictable manner relative to each other.

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