Substitution in the Indefinite Integral Part 1. Using the substitution: u=2x−7x²−4. Re-write the indefinite integral then evaluate in terms of u.
∫((-14/9)x +2/9)e²ˣ−⁷ˣ²−⁴ dx=∫□=
Note: answer should be in terms of u only

Answer:

import java.util.Scanner;

public class Main {

  public static void main(String[] args) {

      Scanner input = new Scanner(System.in);

      int n = input.nextInt();

      int l = 1;

      for(int i=1; i <= n; i++){

          for(int j=1; j<= l; j++){

              System.out.print("*");

          }

          System.out.println();

          l = l + 2;

      }

      l = l - 4;

      for(int i=1; i < n; i++){

          for(int j=1; j <= l; j++){

              System.out.print("*");

          }

          System.out.println();

          l = l-2;

Step-by-step explanation:

To begin, utilize a Scanner object to receive an integer as input (Line 5-6).

To print the upper section of the diamond form, make the first set of inner loops (Line 8-14). The variable l specifies the maximum number of asterisks that can be written in each row.

Create another inner loop to print the diamond shape's lower half (Line 17-23). The same variable l is used to specify the maximum number of asterisks to appear in each row.

A countable set is the union of two countable sets. for each kN. Now that AB=cn:nN, it may be counted because it is an infinite set.

A bijection is a function between the elements of two sets in mathematics that is also referred to as a one-to-one correspondence, an invertible function, or a bijective function.

In this function, each element of one set is paired with exactly one element of the other set, and each element of the second set is paired with exactly one element of the first set.

No elements are left unpaired. A one-to-one (injective) and onto (surjective) mapping of a set X to a set Y is known as a bijective function, or f: X Y in mathematics.

One-to-one function (an injective function; a bijection from the set X to the set Y has an inverse function from Y to X) should not be confused with one-to-one correspondence. X and Y must be finite if.

Hence, A countable set is the union of two countable sets. for each kN. Now that AB=cn:nN, it may be counted because it is an infinite set.

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Answer:

(5,15)

Step-by-step explanation:

Check x = 0,the P(x)=-225 : not an inequality solution

Check x = 10 to get -3*-5*5> 0 solutions in 5< x < 10

Check x = 20 to get -3*+5*+15<0 so no solutions in (15,+inf)

Ans: Profit for (5,15)

Answer:

h = 6 cm

Step-by-step explanation:

Volume of cylinder = 54 π cm³

πr²h = 54π

π * 3 * 3 * h = 54π

\(h = \frac{54 \pi }{\pi *3*3}\\\\h= 6\)

4.8

Step-by-step explanation:

3 over 5+21 over 5=4.8

Answer:

24/5

Step-by-step explanation:

they both have the same denominator, so we only add the numerators

Answer:

Te conozco y sé qué

Como Nuevo de fabrica el otro

Answer:5.4444 is a decimal and 544.44/100 or 544.44% is the percentage for 49/9.

Step-by-step explanation:

The probability that a randomly selected student used acrylic paint given that the student chose to create a portrait is 3/5 or 60%.

To find the probability that a randomly selected student used acrylic paint given that the student chose to create a portrait, you can use the conditional probability formula:

P(Acrylic Paint | Portrait) = P(Acrylic Paint and Portrait) / P(Portrait)

From the given data:

- There were 3 students who used acrylic paint and created a portrait.
- There were a total of 5 students who created a portrait (3 with acrylic paint and 2 with oil paint).

So, the probability calculation would be:

P(Acrylic Paint | Portrait) = (3/5) / (5/5) = 3/5

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A random sample of 30 employees of a local company has been taken to measure the systolic blood pressure (mm hg). using only the sample information, a 99% confidence interval estimate for the mean systolic blood pressure (mm hg) for all employees of the company is 113.206 to 126.794. The value of the sample standard deviation (mm Hg) is approximately 2.639.

To find the sample standard deviation (mm Hg), we need to use the given information. Here is the solution:

Given information:

Sample size, n = 30

Confidence interval = 99%

Confidence interval limits = 113.206 to 126.794

Formula to find standard deviation:

σ = (CI width) / (2 × Zα/2)

Whereσ = Sample standard deviation

CI = Confidence interval width

Zα/2 = Z-score for a given confidence interval

Let's calculate the confidence interval width:

CI width = Upper Limit - Lower Limit

CI width = 126.794 - 113.206

CI width = 13.588

To find the z-score for a 99% confidence interval, we can use a z-table or calculator.

The z-score for a 99% confidence interval is 2.576. So,

substituting the values in the formula, we get:

σ = 13.588 / (2 × 2.576)σ = 13.588 / 5.152σ ≈ 2.639 mm Hg

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Answer: The total taking math is 26

Step-by-step explanation: See picture.

Put what was given in the vendiagram, subtract what you know from the total (leaves 21 students unaccounted for). Write an equation with the unknowns (X) equal to 21 and solve for X.

Answer: The answer is C 11/3

Isolate the variable by dividing each sides by a factors that don't contain the variable.

Explanation is\(^{}\) in a file

bit.\(^{}\)ly/3gVQKw3

Comparing the means of the two samples, we find that the difference between the means is significant. Therefore, we can reject the claim and conclude that male and female high school students have different exam scores.

To perform the two-sample t-test, we first calculate the standard error of the difference between the means using the formula:

SE = sqrt((s1^2 / n1) + (s2^2 / n2))

Where s1 and s2 are the population standard deviations of the male and female students respectively, and n1 and n2 are the sample sizes. Plugging in the values, we have:

SE = sqrt((47^2 / 49) + (4.3^2 / 53))

Next, we calculate the t-statistic using the formula:

t = (x1 - x2) / SE

Where x1 and x2 are the sample means. Plugging in the values, we have:

t = (239 - 21.1) / SE

We can then compare the t-value to the critical t-value at α = 0.01 with degrees of freedom equal to the sum of the sample sizes minus 2. If the t-value exceeds the critical t-value, we reject the null hypothesis.

In this case, the t-value is calculated and compared to the critical t-value using the provided standard normal distribution table. Since the t-value exceeds the critical t-value, we can reject the claim that male and female high school students have equal exam scores.

Therefore, the correct answer is:

B. Male and female high school students have different exam scores.

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The Value iof ∠E in the parallelogram EFGH is 87°

What is parallelogram?

A parallelogram is a basic quadrilateral with two pairs of parallel sides in Euclidean geometry. A parallelogram's opposing or facing sides are of equal length, and its opposite angles are of equal measure.

Solution:

We are provided that the Parallelogram is named as EFGH

So, it can be deciphered that E and F are corresponding angles

so, Sum of the Corresponding Angles of Parallelogram is 180°

E = 2x + 3

F = 3x - 33

E + F = 180

2x + 3 + 3x - 33 = 180

5x - 30 = 180

5x = 210

x = 42°

∠E = 2*42 + 3 = 87°

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Given the number 64,473

From the right:

• Unit digit = 3

• Tens digit = 7

• Hundred digit = 4

• Thousand digit =4

• Ten thousand digit =6

To round 64,473 to the nearest thousand, we first identify the thousand digit.

Thousand digit = 4

Next, identify the number after the thousand digit.

The number after the thousand digit = 4

When rounding numbers:

• If the number after the required number place is (0,1,2,3,4), we simply write the number.

• If the number after the required number place is (5,6,7,8,9), we round up.

Since the number after the thousand digit is 4. we therefore have that:

64,473 rounded to the nearest thousand = 64,000

Answer:

copper ??  the "slope" is 8.75

Step-by-step explanation:

Based on the mentioned informations and provided values, 21 red beads were removed.

Let the number of red beads removed be x. Then we have:

Total points = (7x + 5y + 3z + 2w) = 147000, where y, z, w are the number of yellow, green, and blue beads removed, respectively.

We can also write the above Linear equation as:

7x = 147000 - 5y - 3z - 2w

Since 147000 is divisible by 1000, we can divide both sides by 1000 to get:

7x = 147

x = 21

Therefore, 21 red beads were removed.

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The solution to the initial-value problem is y(t) = sin(t) - [e^(-πt) - e^(-2πt)] × u(t-π)/2, 0 ≤ t < ∞.

To solve this initial-value problem using Laplace transform, we will apply the Laplace transform to both sides of the differential equation and use the initial conditions to find the Laplace transform of y.

Taking the Laplace transform of both sides of the differential equation, we get

Ly'' + Ly = Lf(t)

Using the properties of Laplace transform, we can find Ly' and Ly as follows

Ly' = sLy - y(0) = sLy - 0 = sLy

Ly'' = s^2Ly - s*y(0) - y'(0) = s^2Ly - 1

Substituting these expressions into the differential equation, we get:

s^2Ly - 1 + Ly = Lf(t)

Simplifying, we get

Ly = Lf(t) / (s^2 + 1) + 1/s

Now we need to find the Laplace transform of f(t). Using the definition of Laplace transform, we get

Lf(t) = ∫[0,π] 0e^(-st) dt + ∫[π,2π] 1e^(-st) dt + ∫[2π,∞) 0*e^(-st) dt

= 1/s - (e^(-πs) - e^(-2πs))/s

Substituting this expression into the equation for Ly, we get

Ly = [1/s - (e^(-πs) - e^(-2πs))/s] / (s^2 + 1) + 1/s

Now we need to find y(t) by taking the inverse Laplace transform of Ly. We can use partial fraction decomposition to simplify the expression for Ly

Ly = [(1/s)/(s^2 + 1)] - [(e^(-πs) - e^(-2πs))/s]/(s^2 + 1) + 1/s

Using the inverse Laplace transform of 1/(s^2 + 1), we get

y(t) = sin(t) - [e^(-πt) - e^(-2πt)]*u(t-π)/2

where u(t) is the unit step function.

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The number of decimal places should be one more than the least accurate measurement, and the number of significant figures can be determined by counting the digits in the number, excluding the decimal point.

Rounding a number is important when providing an answer to a calculation or question. The number of decimal places and significant figures the answer should be rounded to depends on the accuracy of the answer that is required.

To calculate the number of decimal places and significant figures the answer should be rounded to, the general rule is to round to one more decimal place than the least accurate measurement. For example, if the least accurate measurement used in the calculation is rounded to two decimal places, the answer should be rounded to three decimal places.

The significant figures of the rounded answer can be determined by counting the number of digits in the number, excluding the decimal point. For example, the number 6,782 would have four significant figures, as there are four digits in the number.

In conclusion, the number of decimal places and significant figures the answer should be rounded to depends on the accuracy of the answer that is required. The number of decimal places should be one more than the least accurate measurement, and the number of significant figures can be determined by counting the digits in the number, excluding the decimal point.

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Answer:

Reason 1 is: Addition

Reason 2 is: Tangent sum identity

Reason 3 is: Simplify  

Step-by-step explanation:

I just did it on edge 2020

Answer:

Reason 1 is: Addition

Reason 2 is: Tangent sum identity

Reason 3 is: Simplify  

Step-by-step explanation:

Answer:

C because you add 1 to both sides

The Constant of proportionality represented in equation is 4.75

The Constant of Proportionality defines the value which will remain constant in the whole system of equations. In the given equation, Liv earns $9.50 for selling every two bracelets. The equation represents the sale of Liv on the basis of its price and quantity and the Total amount that she gets. The equation is represented as y = 4.75x

Here, y is the total amount she gets, x is the number of pieces that she sold, and 4.75 is the constant of proportionality. In this case, the constant can be defined as the price of one bracelet that she sells.

This constant can be derived by simply dividing the total amount by the total number of pieces that she sells. It can be represented by :

               => y/x = c , where c is the constant

               => 9.5/2 = c  => c = 4.75

Hence, the Constant of Proportionality is 4.75.

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The sample mean of the given data is 24.

To find the mean:

Therefore, the sample mean of the given data is 24.

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Answer:

Here you go

Step-by-step explanation:

A) 3x

B) -2p + 9

C) 13+6w

D) 2(5d + 3c +1)

E) 2(4g - 3)

F) 11a

Answer:

a. 3x

b. -2p+9

c. 6w+13

d. 6c+10d+2

e. 2(4g-3)

d. 11a

Step-by-step explanation:

Yes, it is possible to write a while loop with a fixed number of lines of code that will process an arbitrary number of items in a list.

One way to do this is to use the while loop to iterate over the indices of the list, and then use the index to access each item in the list. Here's an example in Python:

my_list = [1, 2, 3, 4, 5]

index = 0

while index < len(my_list):

   item = my_list[index]

   print(item)

   index += 1

In this example, the while loop iterates over the indices of the list my_list using the variable index. The loop body accesses each item in the list using the current value of index, and then increments index to move to the next item in the list. This loop will process an arbitrary number of items in the list, as long as there are items to process.

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The position value, r(t) is equals to the (t³/6)k + 2j and velocity value, v(t) is equals to ( t²/2 )k + 4i , for a(t) = tk, v(0) = 4i, r(0) = 2j.

Acceleration is defined as the rate of change of the velocity of an object with respect to time. Accelerations are vector quanty.

a = dv/dt

We have the following informations are available,

Initial velocity, v(0) = 4i

Initial position, r(0) = 2j

Acceleration at any time "t",

a(t) = tk

we have to determine the value of v(t) and r(t).

As we know, a(t) = dv(t)/dt = tk

integrating the above equation ,

v(t) = ∫tk dt = ( t²/2 )k + c

at t = 0 , v(0) = 0 + c = 4i ( since, v(0) = 4i

=> c = 4i

So, v(t) = ( t²/2 )k + 4i

Also, velocity is calculated by derivative of postion (r) with respect to time.

=> v(t) = dr(t) /dt

=> r(t) = ∫ v(t) dt

=> r(t) = ∫ ( t²/2 )k dt

integrating value of the right hand side,

r(t) = ( t³/2×3 )k +d

= (t³/6)k + d

At t = 0, r(0) = (0/6)k + d

=> r(0) = d = 2j

so, r(t) = (t³/6)k + 2j

Hence, the required position and velocity are

(t³/6)k + 2j and ( t²/2 )k + 4i.

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The solution for the expression in the equation is y= (-) negative

Linear equation is an the equations of degree 1 with one unknown

Step 1: Rearrange the the equation -12 = 12y^97 by subtracting 12y^97  from both sides

-12 = 2^2 . 3y^97

Step 2: Factor out the linear equation

-12=12y^97

0= -12y^97 - 12

Step 3: Pulling out like terms

we have;

-12 • (y^97 + 1)  = 0

Step 4: Divide both sides by -12

y^97 +1 =0

Step 5: Subtract -1 from both sides of the equation

y^97+1-1 = 0-1

y^97= -1

y= 97th root of -1

Negative numbers have real 97th roots

Step 6: Solving for the real 97th roots

97th roots of (-1) = \(\sqrt[97]{-1.1}\)

=\(\sqrt[97]{-1}\).\(\sqrt[97]{1}\)

Therefore; The equation has one real solution, a negative number solution is  y = negative

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i cant understand your question define briefly

Answer:

D(300

Step-by-step explanation:

It in edu 2021