. Evaluate the indefinite integral by answering the following parts. | * /? x V x2 + 18 dx (a) What is u and du? (b) What is the new integral in terms of u only? (c) Evaluate the new integral. (d) Write the answer in terms of x. 2. Evaluate the indefinite integral by answering the following parts. | + XV x + 1dx (a) Using u = x + 1, what is du? (b) What is the new integral in terms of u only? (c) Evaluate the new integral. (d) Write the answer in terms of x.

(a) The researcher should obtain a sample size of 1,068 households to estimate the proportion of households with broadband internet access within 0.03 with 99% confidence, assuming a prior estimate of 0.635 from 2009.

(b) If the researcher does not use any prior estimates, she can use a conservative estimate of 0.5 for the proportion of households with broadband internet access, as this value maximizes the sample size required for a given level of precision and confidence. With this assumption, the researcher should obtain a sample size of 1,068 households to estimate the proportion of households with broadband internet access within 0.03 with 99% confidence. It is important to note that if the true proportion is significantly different from 0.5, the required sample size may be higher or lower than this estimate. Additionally, the researcher should consider other factors such as the cost and feasibility of obtaining a sample of this size.

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The "switch" statement is useful when you need to test a single variable against a series of exact integer, character, or string values.

The switch statement is a control structure found in many programming languages, including C++, Java, and JavaScript. It allows you to evaluate a variable or expression and compare it against multiple cases.

Each case represents a specific value that the variable or expression is tested against. When a match is found, the corresponding block of code associated with that case is executed.

The switch statement is particularly useful when you have a variable that can take on different values and you want to perform different actions based on those values. Instead of writing multiple if-else statements, the switch statement provides a more concise and efficient way to handle such scenarios.

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The table so fined below based on the information given about the function.

The table based on the function given will be:

Plan A. Plan B

Monday. 10. 30

Tuesday. 20. 40

Wednesday. 40. 50

Thursday. 80. 60

Friday. 160. 70

A is illustrated as it's double minutes for each day. B is illustrated by adding 10min each day.

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Answer:

distance = 7.07 units

Step-by-step explanation:

x difference = 7

y difference = -1

using the Pythagorean theorem:

7² + -1² = d²

d² = 49 + 1 = 50

d = 7.07

Answer:

7.1

Step-by-step explanation:

distance between the x is 7 and y is 1

And to find the hypotenuse, you use the quadratic formula, 7^2 + 1^2 = c^2

c=50

and take the square root, which is 7.071, rounds to 7.1

Answer:

(B) 3/5

Step-by-step explanation:

In the figure above, both circles have their centers at point O. Point A lies on segment OB. If OA = 3 and AB = 2, what is the ratio of the circumference of the smaller circle to the circumference of the larger circle?

(A) 2/3

(B) 3/5

(C) 9/16

(D) 1/2

(E) 4/9

Answer: The circumference of a circle is the perimeter of the circle, that is it is the arc length of the circle. The circumference of a circle is given as:

Circumference = 2 π r.   Where r is the radius of the circle.

The radius of the bigger circle = length of OB = OA + AB = 3 + 2 = 5

Circumference of the bigger circle = 2 π (5) = 10π

The radius of the smaller circle = length of OA = 3

Circumference of the smaller circle = 2 π (3) = 6π

The ratio of the circumference of the smaller circle to the circumference of the larger circle = circumference of the smaller circle / circumference of the larger circle = 6π / 10π = 3/5

Answer:Y=16x+20

Step-by-step explanation:

Y=16x+20 thats tthe one that worked for me

Hello!

To find the mean, we must add all the terms in the dataset and divide by how many there are.

35+26+31+16+21+23+27+30+26+17+19+27=450

There are 12 terms in the dataset, so we divide by 12:

37.5

So the mean of this set is 37.5.

Hope this helps you!

~Just a joyful teen

\(SilentNature\)

Answer:

Yes, they are similar by SSS

Answer:

Step-by-step explanation:

Rectangle with sides

Perimeter is

Triangle with sides

Perimeter is

The difference in perimeters is the difference is fencing:

Since it is different from 7x - 37 the statement is FALSE

Garden A is surrounded by a path of 2.5 ft wide

It will have the perimeter added by 2.5*2*4 = 20 ft as each side is extended by 2*2.5 ft = 5ft

So the perimeter is going to be:

This statement is TRUE

The coordinates of the points do not form a right angle triangle

Given data ,

Let the triangle be represented as ΔABC

Now , the coordinates of the triangle are

A ( 0 , 8 ) , B ( 2 , 2 ) and C ( 11 , 6 )

Now , the points form a right triangle by using the Pythagorean theorem, which states that in a right triangle, the sum of the squares of the two shorter sides is equal to the square of the longest side (the hypotenuse)

Distance D = √ ( x₂ - x₁ )² + ( y₂ - y₁ )²

Distance between A ( 0 , 8 ) and B ( 2 , 2 ) is

AB = √ ( 0 - 2 )² + ( 8 - 2 )²

AB = √40 units

Distance between A ( 0 , 8 ) and C ( 11 , 6 ) is

AC = √ ( 0 - 11 )² + ( 8 - 6 )²

AC = √125

Distance between B ( 2 , 2 ) and C ( 11 , 6 ) is

BC = √ ( 2 - 11 )² + ( 2 - 6 )²

BC = √97

And , From the Pythagoras Theorem , The hypotenuse² = base² + height²

So , AC² = AB² + BC²

125 ≠ 94 + 40

Hence , the coordinates do not form a right angle triangle

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Answer:

244

Step-by-step explanation:

\(544 - 300 = \\ 244\)

Answer:

Hey there!

The sweater is selling for 85% of the original price

0.85(18)=15.30

1.08(15.30)=16.52

Let me know if this helps :)

The solution is Option C.

The total cost of the sweater is $ 16.52

What is an Equation?

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

It demonstrates the equality of the relationship between the expressions printed on the left and right sides.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

Given data ,

Let the original cost of the sweater be = $ 18

Let the sales tax percentage be = 8 %

Let the discount of the sweater be = 15 %

So , the equation for the total cost of the sweater is

The cost of the sweater after discount of 15 % is = original cost of the sweater - discount of the sweater x original cost

The cost of the sweater after discount of 15 % is = 18 - ( 15/100 ) x 18

                                                                                = 18 - 0.15 x 18

                                                                                = 18 - 2.7

                                                                                = $ 15.3

Now , the cost of the sweater after sales tax of 8 % is = cost of the sweater after discount + sales tax percentage x cost of the sweater after discount

So , the equation is

The cost of the sweater after sales tax of 8 % is = 15.3 + ( 8/100 ) x 15.3

                                                                                = 15.3 + 0.08 x 15.3

                                                                                = 15.3 + 1.224

                                                                                = $ 16.524

Hence , the total cost of the sweater is $ 16.52

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We can consider the options one by one. (9) < 0This statement says that the absolute value of 9 is less than 0. This cannot be true because the absolute value of any number is always positive. Hence, option (A) cannot be true.

f(3) < 0This statement says that the value of f(3) is negative. Since we do not know what the function f is, this could be true or false. Therefore, option (B) can be true. f(3) > 0This statement says that the value of f(3) is positive. Since we do not know what the function f is, this could be true or false.

f(0) < 9This statement says that the value of f(0) is less than 9. Since we do not know what the function f is, this could be true or false. Therefore, option (D) can be true. From the given options, we have found that option (A) cannot be true because the absolute value of any number is always positive. Hence, the correct answer is option (A).

The statement " |(9) < 0" cannot be true.

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(–2, 6) are the points that justify the shaded area

We can substitute the values of x and y from each point into the inequality and check if the inequality is satisfied or not.

Let's check each point:

For points (12, 6):

\((y+1)^2/6 -(x+2)^2/24\\ = (6+1)^2/6 - (12+2)^2/24 \\= 49/6 - 196/3 \\= -57.33\)

Here, the value of the expression is less than 1, so this point does not justify the shaded area.

For points (–2, 6):

\((y+1)^2/6 -(x+2)^2/24\\ = (6+1)^2/6 - (-2+2)^2/24 \\= 49/6\)

Here, the value of the expression is greater than or equal to 1, so this point does justify the shaded area.

For points (8, –6):

\((y+1)^2/6 -(x+2)^2/24 \\= (-6+1)^2/6 - (8+2)^2/24 \\= 25/6-100/24\)

Here, the value of the expression is greater than or equal to 1, so this point does not justify the shaded area.

For point (–1, –2):

\((y+1)^2/6 -(x+2)^2/24 \\= (-2+1)^2/6 - (-1+2)^2/24 \\= 1/6 - 1/24 \\= 1/8\)

Here, the value of the expression is less than 1, so this point does not justify the shaded area.

Therefore, the points that justify the shaded area are (–2, 6).

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Answer:

Rowing speed: 10.6 miles per hour
speed of the current: 3.8 miles per hour.

Step-by-step explanation:

Let the team's rowing speed in still water be "x" and the speed of the current be "c".

x + c = 14.4

x - c = 6.8

(x + c) + (x - c) = 14.4 + 6.8

2x = 21.2

x = \(\frac{21.2}{2}\)

x = 10.6

10.6 + c = 14.4

c = 14.4 - 10.6

c = 3.8

The team's rowing speed in still water is 10.6 miles per hour, and the speed of the current is 3.8 miles per hour.

This means that angle ADC and angle BCD are supplementary angles. Since they share side CD, we can conclude that triangle ACD and triangle BDC are congruent (by SAS congruence), which means that angle ACD is congruent to angle BDC.

To get started, it's important to remember the following principles:

The sum of angles in a triangle is always 180 degrees.

Vertical angles are congruent (i.e. they have the same measure).

When two parallel lines are intersected by a transversal, alternate interior angles and corresponding angles are congruent.

With these principles in mind, let's look at an example problem:

Given:

ABCD is a parallelogram

AC is bisected by line segment CE

Prove:

Angle ACD is congruent to angle BDC

To prove that angle ACD is congruent to angle BDC, we need to use the fact that ABCD is a parallelogram. Specifically, we know that opposite angles in a parallelogram are congruent.

First, draw a diagram of the given information:

    A ____________ B

     |             |

     |             |

     |             |

    D|_____________|C

           *

          / \

         /   \

        /     \

       /       \

      /         \

     /           \

    /_____________\

          E

We can see that triangle ACD and triangle BDC share side CD. To show that angle ACD is congruent to angle BDC, we need to show that these triangles are congruent.

Using the given information, we know that AC is bisected by line segment CE. This means that angle ACE is congruent to angle BCE by definition of angle bisector. Also, since ABCD is a parallelogram, we know that angle ABC is congruent to angle ADC.

Now, we can use the fact that the sum of angles in a triangle is always 180 degrees. Since triangle ACE and triangle BCE share side CE, we can combine them into one triangle and write:

angle ACE + angle BCE + angle BCD = 180

Substituting in the known values, we get:

angle ABC + angle BCD = 180

Since ABCD is a parallelogram, we know that angle ABC is congruent to angle ADC. Substituting this in, we get:

angle ADC + angle BCD = 180

This means that angle ADC and angle BCD are supplementary angles. Since they share side CD, we can conclude that triangle ACD and triangle BDC are congruent (by SAS congruence), which means that angle ACD is congruent to angle BDC.

Therefore, we have proven that angle ACD is congruent to angle BDC using the given information.

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Answer:

24 and 72

Step-by-step explanation:

just multiple them both by 6

SOLUTION:

Step 1:

In this question, we are given the following:

1. Find the zeros of the quadratic function by graphing. Round to the nearest tenth if necessary.

f(x) = -2x² + 3x +1

Step 2:

The details of the solution are as follows:

CONCLUSION:

The final answers are:

The reduced cost matrix for travelling salesperson problem in the given instance is shown below. The Travelling Salesperson Problem (TSP) is a classical combinatorial optimization issue that belongs to the category of NP-Hard problems.

This problem can be resolved using a branch and bound algorithm or by using dynamic programming.The reduced cost matrix for the given travelling salesperson problem instance The computation of the reduced cost matrix for travelling salesperson problem involves two steps: Identify the smallest element of each row and subtract the value from all the values in the row.

Identify the smallest element of each column and subtract the value from all the values in the column.In the given instance, the smallest element of each row is highlighted in bold. Therefore, after performing Step 1 the matrix becomes the matrix becomes Hence, the reduced cost matrix for the travelling salesperson problem is obtained.

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Answer:

1st option

Step-by-step explanation:

at the 3rd hour, the money was $100

At 7th hour, the money increased to $160

Now, the rate is,

(160-100)/(7-3)

= 60/4

= 15

so, $15 per hour

Answer:

(2 × 3 × 3) and (2 × 2 × 2 × 3).